%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX153_1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n016.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:07:16 AM UTC 2026 % Result : Theorem 200.07s 200.30s % Output : Proof 200.07s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWX153_1 : TPTP v9.3.0. Released v9.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n016.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 23:02:54 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.55 %----Proving TH0 % 200.07/200.30 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 200.07/200.30 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 200.07/200.30 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s... % 200.07/200.30 --- Run --ho-elim --full-saturate-quant at 18s... % 200.07/200.30 --- Run --ho-elim --no-e-matching --full-saturate-quant at 12s... % 200.07/200.30 --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 12s... % 200.07/200.30 --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 9s... % 200.07/200.30 % SZS status Theorem % 200.07/200.30 % SZS output start Proof % 200.07/200.30 ( % 200.07/200.30 (declare-sort tptp.subst 0) % 200.07/200.30 (declare-sort tptp.term 0) % 200.07/200.30 (declare-sort tptp.d_term 0) % 200.07/200.30 (declare-sort tptp.d_subst 0) % 200.07/200.30 (declare-const tptp.hoasap (-> tptp.subst tptp.term tptp.subst tptp.term tptp.term)) % 200.07/200.30 (declare-const tptp.hoaslam (-> tptp.subst (-> tptp.subst tptp.term tptp.term) tptp.term)) % 200.07/200.30 (declare-const tptp.hoasinduction_p_and_p_prime (-> (-> tptp.subst tptp.term tptp.subst Bool) (-> tptp.term Bool) Bool)) % 200.07/200.30 (declare-const tptp.pushprop_lem1v2 Bool) % 200.07/200.30 (declare-const tptp.pushprop_lem1_gthm Bool) % 200.07/200.30 (declare-const tptp.axmap Bool) % 200.07/200.30 (declare-const tptp.pushprop_lem0_gthm Bool) % 200.07/200.30 (declare-const tptp.shinj Bool) % 200.07/200.30 (declare-const tptp.hoasinduction_lem1v2 Bool) % 200.07/200.30 (declare-const tptp.hoasinduction_lem1v2_gthm Bool) % 200.07/200.30 (declare-const tptp.induction2lem Bool) % 200.07/200.30 (declare-const tptp.hoasinduction_lem3v2_f Bool) % 200.07/200.30 (declare-const tptp.axvarshift Bool) % 200.07/200.30 (declare-const tptp.hoasapinj2 Bool) % 200.07/200.30 (declare-const tptp.hoasapnotvar_gthm Bool) % 200.07/200.30 (declare-const tptp.hoasapinj1 Bool) % 200.07/200.30 (declare-const tptp.ulamvar1 Bool) % 200.07/200.30 (declare-const tptp.induction2lem_lthm Bool) % 200.07/200.30 (declare-const tptp.hoasinduction_lem3v2_gthm Bool) % 200.07/200.30 (declare-const tptp.apnotvar Bool) % 200.07/200.30 (declare-const tptp.pushprop_lthm_orig Bool) % 200.07/200.30 (declare-const tptp.hoasinduction_lem3v2_f_lthm Bool) % 200.07/200.30 (declare-const tptp.hoasinduction_lthm Bool) % 200.07/200.30 (declare-const tptp.hoasinduction_no_psi_cond_lthm Bool) % 200.07/200.30 (declare-const tptp.hoaslaminj Bool) % 200.07/200.30 (declare-const tptp.hoasinduction_lem3aaa Bool) % 200.07/200.30 (declare-const tptp.induction2lem_gthm Bool) % 200.07/200.30 (declare-const tptp.hoasinduction_lem3aa_lthm Bool) % 200.07/200.30 (declare-const tptp.hoasinduction_lem3 Bool) % 200.07/200.30 (declare-const tptp.hoasinduction_lem2 Bool) % 200.07/200.30 (declare-const tptp.termmset_lthm Bool) % 200.07/200.30 (declare-const tptp.hoasinduction_lem1 Bool) % 200.07/200.30 (declare-const tptp.hoaslamnotap_lthm Bool) % 200.07/200.30 (declare-const tptp.pushprop_lem1v2_lthm Bool) % 200.07/200.30 (declare-const tptp.hoasapnotvar Bool) % 200.07/200.30 (declare-const tptp.hoasinduction_lem0 Bool) % 200.07/200.30 (declare-const tptp.hoasinduction Bool) % 200.07/200.30 (declare-const tptp.hoasinduction_gthm Bool) % 200.07/200.30 (declare-const tptp.axapp Bool) % 200.07/200.30 (declare-const tptp.hoaslamnotvar_lthm Bool) % 200.07/200.30 (declare-const tptp.pushprop_lem3v2_lthm Bool) % 200.07/200.30 (declare-const tptp.hoasinduction_lem3b_lthm Bool) % 200.07/200.30 (declare-const tptp.ulamvarind Bool) % 200.07/200.30 (declare-const tptp.induction Bool) % 200.07/200.30 (declare-const tptp.hoasinduction_lem3a_lthm Bool) % 200.07/200.30 (declare-const tptp.termmset_gthm Bool) % 200.07/200.30 (declare-const tptp.hoasinduction_lem3aa Bool) % 200.07/200.30 (declare-const tptp.pushprop_lem1v2_gthm Bool) % 200.07/200.30 (declare-const tptp.hoaslamnotap_gthm Bool) % 200.07/200.30 (declare-const tptp.hoaslamnotvar_gthm Bool) % 200.07/200.30 (declare-const tptp.hoasinduction_lem3b_gthm Bool) % 200.07/200.30 (declare-const tptp.pushprop_lem2v2 Bool) % 200.07/200.30 (declare-const tptp.hoasinduction_lem3a_gthm Bool) % 200.07/200.30 (declare-const tptp.axclos Bool) % 200.07/200.30 (declare-const tptp.axassoc Bool) % 200.07/200.30 (declare-const tptp.hoasinduction_lem2v2 Bool) % 200.07/200.30 (declare-const tptp.pushprop_lthm Bool) % 200.07/200.30 (declare-const tptp.apinj2 Bool) % 200.07/200.30 (declare-const tptp.apinj1 Bool) % 200.07/200.30 (declare-const tptp.hoasapinj2_lthm Bool) % 200.07/200.30 (declare-const tptp.hoasinduction_lem3v2a Bool) % 200.07/200.30 (declare-const tptp.hoasapinj1_lthm Bool) % 200.07/200.30 (declare-const tptp.hoaslaminj_lthm Bool) % 200.07/200.30 (declare-const tptp.axvarcons Bool) % 200.07/200.30 (declare-const tptp.axscons Bool) % 200.07/200.30 (declare-const tptp.hoasinduction_lem2v2_gthm Bool) % 200.07/200.30 (declare-const tptp.d_one tptp.d_term) % 200.07/200.30 (declare-const tptp.hoaslamnotap Bool) % 200.07/200.30 (declare-const tptp.ulamvarsh Bool) % 200.07/200.30 (declare-const tptp.pushprop_lem3v2 Bool) % 200.07/200.30 (declare-const tptp.axshiftcons Bool) % 200.07/200.30 (declare-const tptp.id tptp.subst) % 200.07/200.30 (declare-const tptp.pushprop_lem1_lthm Bool) % 200.07/200.30 (declare-const tptp.hoasvar (-> tptp.subst tptp.term tptp.subst Bool)) % 200.07/200.30 (declare-const tptp.pushprop_lem0_lthm Bool) % 200.07/200.30 (declare-const tptp.one tptp.term) % 200.07/200.30 (declare-const tptp.substmonoid_gthm Bool) % 200.07/200.30 (declare-const tptp.hoasinduction_lem3v2 Bool) % 200.07/200.30 (declare-const tptp.sh tptp.subst) % 200.07/200.30 (declare-const tptp.termmset Bool) % 200.07/200.30 (declare-const tptp.induction2 Bool) % 200.07/200.30 (declare-const tptp.pushprop_p_and_p_prime (-> tptp.term tptp.subst (-> tptp.term Bool) (-> tptp.term Bool) Bool)) % 200.07/200.30 (declare-const tptp.lam (-> tptp.term tptp.term)) % 200.07/200.30 (declare-const tptp.pushprop_lem2v2_gthm Bool) % 200.07/200.30 (declare-const tptp.ap (-> tptp.term tptp.term tptp.term)) % 200.07/200.30 (declare-const tptp.hoasinduction_lem3v2_lthm Bool) % 200.07/200.30 (declare-const tptp.axvarid Bool) % 200.07/200.30 (declare-const tptp.d_id tptp.d_subst) % 200.07/200.30 (declare-const tptp.var (-> tptp.term Bool)) % 200.07/200.30 (declare-const tptp.d2term (-> tptp.d_term tptp.term)) % 200.07/200.30 (declare-const tptp.push (-> tptp.term tptp.subst tptp.subst)) % 200.07/200.30 (declare-const tptp.hoasapnotvar_lthm Bool) % 200.07/200.30 (declare-const tptp.sub (-> tptp.term tptp.subst tptp.term)) % 200.07/200.30 (declare-const tptp.hoasinduction_lthm_3 Bool) % 200.07/200.30 (declare-const tptp.d2subst (-> tptp.d_subst tptp.subst)) % 200.07/200.30 (declare-const tptp.comp (-> tptp.subst tptp.subst tptp.subst)) % 200.07/200.30 (declare-const tptp.pushprop_lem2v2_lthm Bool) % 200.07/200.30 (declare-const tptp.induction2_gthm Bool) % 200.07/200.30 (declare-const tptp.hoasinduction_no_psi_cond Bool) % 200.07/200.30 (declare-const tptp.hoasinduction_lem1_gthm Bool) % 200.07/200.30 (declare-const tptp.hoasinduction_lem3a Bool) % 200.07/200.30 (declare-const tptp.lamnotvar Bool) % 200.07/200.30 (declare-const tptp.substmonoid Bool) % 200.07/200.30 (declare-const tptp.hoasinduction_lem3b Bool) % 200.07/200.30 (declare-const tptp.hoasinduction_lem2_gthm Bool) % 200.07/200.30 (declare-const tptp.hoasinduction_lem3_gthm Bool) % 200.07/200.30 (declare-const tptp.pushprop Bool) % 200.07/200.30 (declare-const tptp.substmonoid_lthm Bool) % 200.07/200.30 (declare-const tptp.hoasinduction_lem0_lthm Bool) % 200.07/200.30 (declare-const tptp.induction2_lthm Bool) % 200.07/200.30 (declare-const tptp.hoaslaminj_gthm Bool) % 200.07/200.30 (declare-const tptp.axidl Bool) % 200.07/200.30 (declare-const tptp.hoaslamnotvar Bool) % 200.07/200.30 (declare-const tptp.hoasapinj1_gthm Bool) % 200.07/200.30 (declare-const tptp.lamnotap Bool) % 200.07/200.30 (declare-const tptp.hoasinduction_lem1_lthm Bool) % 200.07/200.30 (declare-const tptp.hoasapinj2_gthm Bool) % 200.07/200.30 (declare-const tptp.hoasinduction_lem2_lthm Bool) % 200.07/200.30 (declare-const tptp.hoasinduction_lem3v2a_lthm Bool) % 200.07/200.30 (declare-const tptp.axabs Bool) % 200.07/200.30 (declare-const tptp.pushprop_gthm Bool) % 200.07/200.30 (declare-const tptp.pushprop_lem0 Bool) % 200.07/200.30 (declare-const tptp.hoasinduction_lem3_lthm Bool) % 200.07/200.30 (declare-const tptp.laminj Bool) % 200.07/200.30 (declare-const tptp.pushprop_lem1 Bool) % 200.07/200.30 (declare-const tptp.axidr Bool) % 200.07/200.30 (define @t1 () (@var "Bound_variable_3283" tptp.term)) % 200.07/200.30 (define @t2 () (@var "P" (-> tptp.subst tptp.term tptp.subst Bool))) % 200.07/200.30 (define @t3 () (_ @t2 tptp.id)) % 200.07/200.30 (define @t4 () (@var "F" (-> tptp.subst tptp.term tptp.term))) % 200.07/200.30 (define @t5 () (_ (_ @t4 tptp.sh) tptp.one)) % 200.07/200.30 (define @t6 () (_ tptp.lam @t5)) % 200.07/200.30 (define @t7 () (_ (_ @t3 @t6) tptp.id)) % 200.07/200.30 (define @t8 () (@var "A" tptp.term)) % 200.07/200.30 (define @t9 () (_ (_ @t4 tptp.id) @t8)) % 200.07/200.30 (define @t10 () (_ (_ @t3 @t9) tptp.id)) % 200.07/200.30 (define @t11 () (_ (_ @t3 @t8) tptp.id)) % 200.07/200.30 (define @t12 () (not @t11)) % 200.07/200.30 (define @t13 () (or @t12 @t10)) % 200.07/200.30 (define @t14 () (@list @t8)) % 200.07/200.30 (define @t15 () (forall @t14 @t13)) % 200.07/200.30 (define @t16 () (not @t15)) % 200.07/200.30 (define @t17 () (@var "N" tptp.subst)) % 200.07/200.30 (define @t18 () (_ tptp.sub @t8)) % 200.07/200.30 (define @t19 () (_ @t18 @t17)) % 200.07/200.30 (define @t20 () (@var "M" tptp.subst)) % 200.07/200.30 (define @t21 () (_ tptp.comp @t20)) % 200.07/200.30 (define @t22 () (_ @t21 @t17)) % 200.07/200.30 (define @t23 () (_ (_ @t4 @t22) @t19)) % 200.07/200.30 (define @t24 () (_ (_ @t4 @t20) @t8)) % 200.07/200.30 (define @t25 () (_ (_ tptp.sub @t24) @t17)) % 200.07/200.30 (define @t26 () (= @t25 @t23)) % 200.07/200.30 (define @t27 () (@list @t20 @t8 @t17)) % 200.07/200.30 (define @t28 () (forall @t27 @t26)) % 200.07/200.30 (define @t29 () (not @t28)) % 200.07/200.30 (define @t30 () (or @t29 @t16 @t7)) % 200.07/200.30 (define @t31 () (@list @t4)) % 200.07/200.30 (define @t32 () (forall @t31 @t30)) % 200.07/200.30 (define @t33 () (not @t32)) % 200.07/200.30 (define @t34 () (@var "B" tptp.term)) % 200.07/200.30 (define @t35 () (_ @t18 tptp.id)) % 200.07/200.30 (define @t36 () (_ tptp.ap @t35)) % 200.07/200.30 (define @t37 () (_ (_ @t3 @t34) tptp.id)) % 200.07/200.30 (define @t38 () (not @t37)) % 200.07/200.30 (define @t39 () (@list @t8 @t34)) % 200.07/200.30 (define @t40 () (not (forall @t39 (or @t12 @t38 (_ (_ @t3 (_ @t36 @t34)) tptp.id))))) % 200.07/200.30 (define @t41 () (@var "K" tptp.subst)) % 200.07/200.30 (define @t42 () (_ (_ (_ @t2 @t20) @t8) (_ (_ tptp.comp @t41) @t17))) % 200.07/200.30 (define @t43 () (_ (_ (_ @t2 (_ @t21 @t41)) (_ @t18 @t41)) @t17)) % 200.07/200.30 (define @t44 () (@list @t20 @t8 @t17 @t41)) % 200.07/200.30 (define @t45 () (not (forall @t44 (or (not @t43) @t42)))) % 200.07/200.30 (define @t46 () (not (forall @t44 (or (not @t42) @t43)))) % 200.07/200.30 (define @t47 () (forall (@list @t2 @t1) (or @t46 @t45 (not (forall @t14 (or (not (_ tptp.var @t35)) @t11))) @t40 @t33 (_ (_ @t3 @t1) tptp.id)))) % 200.07/200.30 (define @t48 () (@var "Bound_variable_2931" tptp.term)) % 200.07/200.30 (define @t49 () (@var "Q" (-> tptp.term Bool))) % 200.07/200.30 (define @t50 () (_ tptp.push @t34)) % 200.07/200.30 (define @t51 () (_ @t50 tptp.id)) % 200.07/200.30 (define @t52 () (not (_ @t49 @t34))) % 200.07/200.30 (define @t53 () (@list @t34)) % 200.07/200.30 (define @t54 () (@var "X" tptp.term)) % 200.07/200.30 (define @t55 () (_ @t49 @t54)) % 200.07/200.30 (define @t56 () (@list @t54)) % 200.07/200.30 (define @t57 () (forall @t56 (= @t55 (_ (_ @t3 @t54) tptp.id)))) % 200.07/200.30 (define @t58 () (not @t57)) % 200.07/200.30 (define @t59 () (forall (@list @t2 @t49 @t48) (or @t33 @t58 (not (forall @t53 (or @t52 (_ @t49 (_ (_ tptp.sub @t48) @t51))))) (_ @t49 (_ tptp.lam @t48))))) % 200.07/200.30 (define @t60 () (forall @t14 (= @t8 @t35))) % 200.07/200.30 (define @t61 () (@var "Bound_variable_2367" tptp.term)) % 200.07/200.30 (define @t62 () (@var "P" (-> tptp.term Bool))) % 200.07/200.30 (define @t63 () (_ tptp.lam @t8)) % 200.07/200.30 (define @t64 () (_ @t62 @t63)) % 200.07/200.30 (define @t65 () (_ @t18 @t51)) % 200.07/200.30 (define @t66 () (not (_ @t62 @t34))) % 200.07/200.30 (define @t67 () (not (forall @t14 (or (not (forall @t53 (or @t66 (_ @t62 @t65)))) @t64)))) % 200.07/200.30 (define @t68 () (_ tptp.ap @t8)) % 200.07/200.30 (define @t69 () (_ @t62 @t8)) % 200.07/200.30 (define @t70 () (not @t69)) % 200.07/200.30 (define @t71 () (not (forall @t39 (or @t70 @t66 (_ @t62 (_ @t68 @t34)))))) % 200.07/200.30 (define @t72 () (not (forall @t14 (or (not (_ tptp.var @t8)) @t69)))) % 200.07/200.30 (define @t73 () (forall (@list @t62 @t61) (or @t72 @t71 @t67 (_ @t62 @t61)))) % 200.07/200.30 (define @t74 () (@list @t49)) % 200.07/200.30 (define @t75 () (@list @t2)) % 200.07/200.30 (define @t76 () (forall @t75 (not (forall @t74 @t58)))) % 200.07/200.30 (define @t77 () (@var "Bound_variable_2910" tptp.term)) % 200.07/200.30 (define @t78 () (forall (@list @t2 @t49 @t77) (or @t46 @t45 @t33 @t58 (not (forall @t53 (or @t52 (_ @t49 (_ (_ tptp.sub @t77) @t51))))) (_ @t49 (_ tptp.lam @t77))))) % 200.07/200.30 (define @t79 () (_ (_ tptp.push @t8) @t20)) % 200.07/200.30 (define @t80 () (forall @t56 (= @t55 (_ @t62 (_ (_ tptp.sub @t54) @t79))))) % 200.07/200.30 (define @t81 () (not @t80)) % 200.07/200.30 (define @t82 () (forall (@list @t62 @t8 @t20) (not (forall @t74 @t81)))) % 200.07/200.30 (define @t83 () (_ tptp.comp tptp.sh)) % 200.07/200.30 (define @t84 () (@list @t8 @t20)) % 200.07/200.30 (define @t85 () (forall @t84 (= @t20 (_ @t83 @t79)))) % 200.07/200.30 (define @t86 () (@var "K" (-> tptp.term Bool))) % 200.07/200.30 (define @t87 () (forall (@list @t62 @t86 @t8 @t20 @t34) (or @t70 (_ @t86 (_ @t18 (_ @t50 @t20)))))) % 200.07/200.30 (define @t88 () (_ tptp.sub tptp.one)) % 200.07/200.30 (define @t89 () (forall @t84 (= @t8 (_ @t88 @t79)))) % 200.07/200.30 (define @t90 () (@var "Bound_variable_2605" tptp.term)) % 200.07/200.30 (define @t91 () (@var "Bound_variable_2603" tptp.term)) % 200.07/200.30 (define @t92 () (_ tptp.d2subst tptp.d_id)) % 200.07/200.30 (define @t93 () (_ tptp.d2term tptp.d_one)) % 200.07/200.30 (define @t94 () (not (_ (_ (_ tptp.hoasvar @t92) @t93) @t92))) % 200.07/200.30 (define @t95 () (@var "Bound_variable_3295" tptp.term)) % 200.07/200.30 (define @t96 () (forall (@list @t2 @t95) (or @t40 @t33 (_ (_ @t3 @t95) tptp.id)))) % 200.07/200.30 (define @t97 () (@var "Bound_variable_3232" tptp.term)) % 200.07/200.30 (define @t98 () (forall (@list @t2 @t97) (or @t33 (not (forall @t53 (or @t38 (_ (_ @t3 (_ (_ tptp.sub @t97) @t51)) tptp.id)))) (_ (_ @t3 (_ tptp.lam @t97)) tptp.id)))) % 200.07/200.30 (define @t99 () (@list @t20)) % 200.07/200.30 (define @t100 () (forall @t99 (= @t20 (_ @t21 tptp.id)))) % 200.07/200.30 (define @t101 () (forall @t99 (= @t20 (_ (_ tptp.comp tptp.id) @t20)))) % 200.07/200.30 (define @t102 () (and @t101 @t100)) % 200.07/200.30 (define @t103 () (_ (_ tptp.push tptp.one) tptp.sh)) % 200.07/200.30 (define @t104 () (_ tptp.sub @t34)) % 200.07/200.30 (define @t105 () (forall @t53 (not (forall @t31 (not (= @t5 (_ @t104 @t103))))))) % 200.07/200.30 (define @t106 () (@var "Bound_variable_2342" tptp.subst)) % 200.07/200.30 (define @t107 () (@var "Bound_variable_2340" tptp.term)) % 200.07/200.30 (define @t108 () (forall (@list @t62 @t107 @t106) (or @t71 @t67 (not (forall @t53 (or (not (_ tptp.var @t34)) (_ @t62 (_ @t104 @t106))))) (_ @t62 (_ (_ tptp.sub @t107) @t106))))) % 200.07/200.30 (define @t109 () (forall @t53 (not (forall @t31 (not (forall @t84 (= (_ @t104 @t79) @t24))))))) % 200.07/200.30 (define @t110 () (@var "Bound_variable_3211" tptp.term)) % 200.07/200.30 (define @t111 () (forall (@list @t2 @t110) (or @t46 @t45 @t33 (not (forall @t53 (or @t38 (_ (_ @t3 (_ (_ tptp.sub @t110) @t51)) tptp.id)))) (_ (_ @t3 (_ tptp.lam @t110)) tptp.id)))) % 200.07/200.30 (define @t112 () (@var "Bound_variable_3046" tptp.term)) % 200.07/200.30 (define @t113 () (_ tptp.sub @t112)) % 200.07/200.30 (define @t114 () (_ @t113 @t103)) % 200.07/200.30 (define @t115 () (_ tptp.lam @t114)) % 200.07/200.30 (define @t116 () (_ (_ @t3 @t115) tptp.id)) % 200.07/200.30 (define @t117 () (_ @t113 @t51)) % 200.07/200.30 (define @t118 () (_ (_ @t3 @t117) tptp.id)) % 200.07/200.30 (define @t119 () (or @t38 @t118)) % 200.07/200.30 (define @t120 () (forall @t53 @t119)) % 200.07/200.30 (define @t121 () (not @t120)) % 200.07/200.30 (define @t122 () (or @t33 @t121 @t116)) % 200.07/200.30 (define @t123 () (@list @t2 @t112)) % 200.07/200.30 (define @t124 () (forall @t123 @t122)) % 200.07/200.30 (define @t125 () (= @t8 @t34)) % 200.07/200.30 (define @t126 () (forall @t39 (or (not (= @t63 (_ tptp.lam @t34))) @t125))) % 200.07/200.30 (define @t127 () (@var "Bound_variable_2551" tptp.term)) % 200.07/200.30 (define @t128 () (@var "Bound_variable_2549" tptp.subst)) % 200.07/200.30 (define @t129 () (@var "Bound_variable_2547" (-> tptp.subst tptp.term tptp.term))) % 200.07/200.30 (define @t130 () (forall (@list @t4 @t129 @t128 @t127) (or @t29 (not (forall @t27 (= (_ (_ tptp.sub (_ (_ @t129 @t20) @t8)) @t17) (_ (_ @t129 @t22) @t19)))) (not (= @t6 (_ tptp.lam (_ (_ @t129 tptp.sh) tptp.one)))) (= (_ (_ @t4 @t128) @t127) (_ (_ @t129 @t128) @t127))))) % 200.07/200.30 (define @t131 () (@var "D" tptp.term)) % 200.07/200.30 (define @t132 () (@var "C" tptp.term)) % 200.07/200.30 (define @t133 () (not (= (_ @t36 @t132) (_ (_ tptp.ap (_ @t104 tptp.id)) @t131)))) % 200.07/200.30 (define @t134 () (@list @t8 @t34 @t132 @t131)) % 200.07/200.30 (define @t135 () (forall @t134 (or @t133 @t125))) % 200.07/200.30 (define @t136 () (not (= (_ @t68 @t132) (_ (_ tptp.ap @t34) @t131)))) % 200.07/200.30 (define @t137 () (forall @t134 (or @t136 @t125))) % 200.07/200.30 (define @t138 () (= @t132 @t131)) % 200.07/200.30 (define @t139 () (forall @t134 (or @t133 @t138))) % 200.07/200.30 (define @t140 () (forall @t134 (or @t136 @t138))) % 200.07/200.30 (define @t141 () (@var "Bound_variable_2822" tptp.term)) % 200.07/200.30 (define @t142 () (@var "Bound_variable_2820" tptp.term)) % 200.07/200.30 (define @t143 () (= tptp.hoasinduction_lem3aa @t124)) % 200.07/200.30 (define @t144 () (@var "Bound_variable_2140" tptp.term)) % 200.07/200.30 (define @t145 () (forall (@list @t62 @t144) (or @t72 @t71 (not (forall @t14 (or @t70 @t64))) (_ @t62 @t144)))) % 200.07/200.30 (define @t146 () (forall (@list @t62 @t49 @t8 @t20) (or @t70 @t81 (_ @t49 tptp.one)))) % 200.07/200.30 (define @t147 () (@var "Bound_variable_3001" tptp.term)) % 200.07/200.30 (define @t148 () (@var "Bound_variable_2999" tptp.term)) % 200.07/200.30 (define @t149 () (forall (@list @t2 @t148 @t147) (or @t46 @t45 @t40 (not (_ (_ @t3 @t148) tptp.id)) (not (_ (_ @t3 @t147) tptp.id)) (_ (_ @t3 (_ (_ tptp.ap @t148) @t147)) tptp.id)))) % 200.07/200.30 (define @t150 () (@var "Bound_variable_3171" tptp.term)) % 200.07/200.30 (define @t151 () (_ tptp.sub @t150)) % 200.07/200.30 (define @t152 () (@var "Bound_variable_3094" tptp.subst)) % 200.07/200.30 (define @t153 () (@var "Bound_variable_3090" tptp.subst)) % 200.07/200.30 (define @t154 () (_ (_ tptp.comp @t153) @t152)) % 200.07/200.30 (define @t155 () (@var "Bound_variable_3092" tptp.term)) % 200.07/200.30 (define @t156 () (_ (_ tptp.sub @t155) @t152)) % 200.07/200.30 (define @t157 () (@var "Bound_variable_3149" tptp.term)) % 200.07/200.30 (define @t158 () (_ tptp.sub @t157)) % 200.07/200.30 (define @t159 () (@var "Bound_variable_3076" tptp.subst)) % 200.07/200.30 (define @t160 () (@var "Bound_variable_3072" tptp.subst)) % 200.07/200.30 (define @t161 () (@var "Bound_variable_3074" tptp.term)) % 200.07/200.30 (define @t162 () (not (_ tptp.var @t93))) % 200.07/200.30 (define @t163 () (lambda (@list (@var "Bound_variable_4913" tptp.subst) (@var "Bound_variable_4915" (-> tptp.subst tptp.term tptp.term))) @t93)) % 200.07/200.30 (define @t164 () (_ (_ (_ (_ tptp.hoasap @t92) @t93) @t92) @t93)) % 200.07/200.30 (define @t165 () (_ (_ tptp.comp @t92) @t92)) % 200.07/200.30 (define @t166 () (_ (_ tptp.push @t93) @t92)) % 200.07/200.30 (define @t167 () (_ (_ tptp.sub @t93) @t92)) % 200.07/200.30 (define @t168 () (_ tptp.lam @t93)) % 200.07/200.30 (define @t169 () (@var "DS2" tptp.d_subst)) % 200.07/200.30 (define @t170 () (@var "DS1" tptp.d_subst)) % 200.07/200.30 (define @t171 () (@var "DS" tptp.d_subst)) % 200.07/200.30 (define @t172 () (@list @t171)) % 200.07/200.30 (define @t173 () (forall @t172 (= @t171 tptp.d_id))) % 200.07/200.30 (define @t174 () (_ tptp.d2subst @t171)) % 200.07/200.30 (define @t175 () (@var "S" tptp.subst)) % 200.07/200.30 (define @t176 () (= @t175 @t174)) % 200.07/200.30 (define @t177 () (exists @t172 @t176)) % 200.07/200.30 (define @t178 () (@list @t175)) % 200.07/200.30 (define @t179 () (forall @t178 @t177)) % 200.07/200.30 (define @t180 () (@var "DT2" tptp.d_term)) % 200.07/200.30 (define @t181 () (@var "DT1" tptp.d_term)) % 200.07/200.30 (define @t182 () (@var "DT" tptp.d_term)) % 200.07/200.30 (define @t183 () (@list @t182)) % 200.07/200.30 (define @t184 () (forall @t183 (= @t182 tptp.d_one))) % 200.07/200.30 (define @t185 () (_ tptp.d2term @t182)) % 200.07/200.30 (define @t186 () (@var "T" tptp.term)) % 200.07/200.30 (define @t187 () (= @t186 @t185)) % 200.07/200.30 (define @t188 () (exists @t183 @t187)) % 200.07/200.30 (define @t189 () (@list @t186)) % 200.07/200.30 (define @t190 () (forall @t189 @t188)) % 200.07/200.30 (define @t191 () (_ @t18 @t103)) % 200.07/200.30 (define @t192 () (_ tptp.lam @t191)) % 200.07/200.30 (define @t193 () (_ (_ @t3 @t192) tptp.id)) % 200.07/200.30 (define @t194 () (_ (_ @t3 @t65) tptp.id)) % 200.07/200.30 (define @t195 () (forall @t53 (=> @t37 @t194))) % 200.07/200.30 (define @t196 () (=> @t195 @t193)) % 200.07/200.30 (define @t197 () (forall @t14 @t196)) % 200.07/200.30 (define @t198 () (@list @t20 @t8)) % 200.07/200.30 (define @t199 () (lambda @t198 @t24)) % 200.07/200.30 (define @t200 () (_ tptp.hoaslam tptp.id)) % 200.07/200.30 (define @t201 () (_ @t200 @t199)) % 200.07/200.30 (define @t202 () (_ (_ @t3 @t201) tptp.id)) % 200.07/200.30 (define @t203 () (forall @t14 (=> @t11 @t10))) % 200.07/200.30 (define @t204 () (=> @t203 @t202)) % 200.07/200.30 (define @t205 () (=> @t28 @t204)) % 200.07/200.30 (define @t206 () (forall @t31 @t205)) % 200.07/200.30 (define @t207 () (=> @t206 @t197)) % 200.07/200.30 (define @t208 () (forall @t75 @t207)) % 200.07/200.30 (define @t209 () (= tptp.hoasinduction_lem3aa @t208)) % 200.07/200.30 (define @t210 () (not @t209)) % 200.07/200.30 (define @t211 () (@const 0 (@ho-elim-sort (-> tptp.d_term tptp.term)))) % 200.07/200.30 (define @t212 () (@const 1 (-> (@ho-elim-sort (-> tptp.d_term tptp.term)) tptp.d_term tptp.term))) % 200.07/200.30 (define @t213 () (_ @t212 @t211 @t182)) % 200.07/200.30 (define @t214 () (forall @t189 (not (forall @t183 (not (= @t186 @t213)))))) % 200.07/200.30 (define @t215 () (tptp.d2term @t182)) % 200.07/200.30 (define @t216 () (not @t187)) % 200.07/200.30 (define @t217 () (forall @t183 @t216)) % 200.07/200.30 (define @t218 () (not @t217)) % 200.07/200.30 (define @t219 () (_ @t212 @t211 tptp.d_one)) % 200.07/200.30 (define @t220 () (@const 2 (@ho-elim-sort (-> tptp.d_subst tptp.subst)))) % 200.07/200.30 (define @t221 () (@const 3 (-> (@ho-elim-sort (-> tptp.d_subst tptp.subst)) tptp.d_subst tptp.subst))) % 200.07/200.30 (define @t222 () (_ @t221 @t220 tptp.d_id)) % 200.07/200.30 (define @t223 () (_ (@const 6 (-> (@ho-elim-sort (-> tptp.term tptp.subst tptp.term tptp.term)) tptp.term (@ho-elim-sort (-> tptp.subst tptp.term tptp.term)))) (_ (@const 5 (-> (@ho-elim-sort (-> tptp.subst tptp.term tptp.subst tptp.term tptp.term)) tptp.subst (@ho-elim-sort (-> tptp.term tptp.subst tptp.term tptp.term)))) (@const 4 (@ho-elim-sort (-> tptp.subst tptp.term tptp.subst tptp.term tptp.term))) @t222) @t219)) % 200.07/200.30 (define @t224 () (@const 7 (-> (@ho-elim-sort (-> tptp.subst tptp.term tptp.term)) tptp.subst (@ho-elim-sort (-> tptp.term tptp.term))))) % 200.07/200.30 (define @t225 () (@const 8 (-> (@ho-elim-sort (-> tptp.term tptp.term)) tptp.term tptp.term))) % 200.07/200.30 (define @t226 () (@const 9 (@ho-elim-sort (-> tptp.term tptp.subst tptp.term)))) % 200.07/200.30 (define @t227 () (@const 10 (-> (@ho-elim-sort (-> tptp.term tptp.subst tptp.term)) tptp.term (@ho-elim-sort (-> tptp.subst tptp.term))))) % 200.07/200.30 (define @t228 () (@const 11 (-> (@ho-elim-sort (-> tptp.subst tptp.term)) tptp.subst tptp.term))) % 200.07/200.30 (define @t229 () (_ @t228 (_ @t227 @t226 @t8) @t17)) % 200.07/200.30 (define @t230 () (@const 12 (@ho-elim-sort (-> tptp.subst tptp.subst tptp.subst)))) % 200.07/200.30 (define @t231 () (@const 13 (-> (@ho-elim-sort (-> tptp.subst tptp.subst tptp.subst)) tptp.subst (@ho-elim-sort (-> tptp.subst tptp.subst))))) % 200.07/200.30 (define @t232 () (@const 14 (-> (@ho-elim-sort (-> tptp.subst tptp.subst)) tptp.subst tptp.subst))) % 200.07/200.30 (define @t233 () (_ @t232 (_ @t231 @t230 @t20) @t17)) % 200.07/200.30 (define @t234 () (forall @t27 (= (_ @t225 (_ @t224 @t223 @t233) @t229) (_ @t228 (_ @t227 @t226 (_ @t225 (_ @t224 @t223 @t20) @t8)) @t17)))) % 200.07/200.30 (define @t235 () (@quantifiers_skolemize @t234 2)) % 200.07/200.30 (define @t236 () (@quantifiers_skolemize @t234 1)) % 200.07/200.30 (define @t237 () (_ @t227 @t226 @t236)) % 200.07/200.30 (define @t238 () (_ @t228 @t237 @t235)) % 200.07/200.30 (define @t239 () (not (= @t238 @t213))) % 200.07/200.30 (define @t240 () (forall @t183 @t239)) % 200.07/200.30 (define @t241 () (not @t240)) % 200.07/200.30 (define @t242 () (forall @t183 (not (= @t213 @t238)))) % 200.07/200.30 (define @t243 () (not @t242)) % 200.07/200.30 (define @t244 () (@list false)) % 200.07/200.30 (define @t245 () (@list @t214)) % 200.07/200.30 (define @t246 () (@quantifiers_skolemize @t242 0)) % 200.07/200.30 (define @t247 () (_ @t212 @t211 @t246)) % 200.07/200.30 (define @t248 () (= @t238 @t247)) % 200.07/200.30 (define @t249 () (= @t247 @t238)) % 200.07/200.30 (define @t250 () (not (not @t249))) % 200.07/200.30 (define @t251 () (@list true)) % 200.07/200.30 (define @t252 () (_ @t224 @t223 @t222)) % 200.07/200.31 (define @t253 () (@const 15 (@ho-elim-sort (-> tptp.term tptp.subst tptp.subst)))) % 200.07/200.31 (define @t254 () (@const 16 (-> (@ho-elim-sort (-> tptp.term tptp.subst tptp.subst)) tptp.term (@ho-elim-sort (-> tptp.subst tptp.subst))))) % 200.07/200.31 (define @t255 () (_ @t232 (_ @t254 @t253 @t219) @t222)) % 200.07/200.31 (define @t256 () (@var "BOUND_VARIABLE_9073" tptp.term)) % 200.07/200.31 (define @t257 () (_ @t227 @t226 @t256)) % 200.07/200.31 (define @t258 () (@const 17 (@ho-elim-sort (-> tptp.term tptp.term)))) % 200.07/200.31 (define @t259 () (@var "BOUND_VARIABLE_10187" (@ho-elim-sort (-> tptp.subst tptp.term tptp.subst Bool)))) % 200.07/200.31 (define @t260 () (@const 18 (-> (@ho-elim-sort (-> tptp.subst tptp.term tptp.subst Bool)) tptp.subst (@ho-elim-sort (-> tptp.term tptp.subst Bool))))) % 200.07/200.31 (define @t261 () (_ @t260 @t259 @t222)) % 200.07/200.31 (define @t262 () (@const 19 (-> (@ho-elim-sort (-> tptp.term tptp.subst Bool)) tptp.term (@ho-elim-sort (-> tptp.subst Bool))))) % 200.07/200.31 (define @t263 () (@const 20 (-> (@ho-elim-sort (-> tptp.subst Bool)) tptp.subst Bool))) % 200.07/200.31 (define @t264 () (_ @t263 (_ @t262 @t261 (_ @t225 @t258 (_ @t228 @t257 @t255))) @t222)) % 200.07/200.31 (define @t265 () (_ @t232 (_ @t254 @t253 @t34) @t222)) % 200.07/200.31 (define @t266 () (not (_ @t263 (_ @t262 @t261 @t34) @t222))) % 200.07/200.31 (define @t267 () (not (forall @t53 (or @t266 (_ @t263 (_ @t262 @t261 (_ @t228 @t257 @t265)) @t222))))) % 200.07/200.31 (define @t268 () (@var "BOUND_VARIABLE_10212" (@ho-elim-sort (-> tptp.subst tptp.term tptp.term)))) % 200.07/200.31 (define @t269 () (_ @t224 @t268 @t222)) % 200.07/200.31 (define @t270 () (_ @t225 @t269 @t8)) % 200.07/200.31 (define @t271 () (not (forall @t14 (or (not (_ @t263 (_ @t262 @t261 @t8) @t222)) (_ @t263 (_ @t262 @t261 @t270) @t222))))) % 200.07/200.31 (define @t272 () (_ @t228 (_ @t227 @t226 (_ @t225 (_ @t224 @t268 @t20) @t8)) @t17)) % 200.07/200.31 (define @t273 () (_ @t225 (_ @t224 @t268 @t233) @t229)) % 200.07/200.31 (define @t274 () (not (forall @t27 (= @t273 @t272)))) % 200.07/200.31 (define @t275 () (@list @t268)) % 200.07/200.31 (define @t276 () (not (_ @t263 (_ @t262 @t261 @t219) @t222))) % 200.07/200.31 (define @t277 () (@list @t259 @t256)) % 200.07/200.31 (define @t278 () (forall @t277 (or (and @t276 (not (forall @t275 (or @t274 @t271)))) @t267 @t264))) % 200.07/200.31 (define @t279 () (_ @t260 (@quantifiers_skolemize @t278 0) @t222)) % 200.07/200.31 (define @t280 () (not (_ @t263 (_ @t262 @t279 @t8) @t222))) % 200.07/200.31 (define @t281 () (forall @t14 (or @t280 (_ @t263 (_ @t262 @t279 (_ @t225 @t252 @t8)) @t222)))) % 200.07/200.31 (define @t282 () (@quantifiers_skolemize @t281 0)) % 200.07/200.31 (define @t283 () (not (= @t282 @t213))) % 200.07/200.31 (define @t284 () (forall @t183 @t283)) % 200.07/200.31 (define @t285 () (not @t284)) % 200.07/200.31 (define @t286 () (@list @t282)) % 200.07/200.31 (define @t287 () (forall @t183 (not (= @t213 @t282)))) % 200.07/200.31 (define @t288 () (not @t287)) % 200.07/200.31 (define @t289 () (@quantifiers_skolemize @t287 0)) % 200.07/200.31 (define @t290 () (_ @t212 @t211 @t289)) % 200.07/200.31 (define @t291 () (= @t282 @t290)) % 200.07/200.31 (define @t292 () (= @t290 @t282)) % 200.07/200.31 (define @t293 () (not (not @t292))) % 200.07/200.31 (define @t294 () (@var "ii" tptp.term)) % 200.07/200.31 (define @t295 () (@var "u" (@ho-elim-sort (-> tptp.term Bool)))) % 200.07/200.31 (define @t296 () (@const 21 (-> (@ho-elim-sort (-> tptp.term Bool)) tptp.term Bool))) % 200.07/200.31 (define @t297 () (@var "e" Bool)) % 200.07/200.31 (define @t298 () (@var "i" tptp.term)) % 200.07/200.31 (define @t299 () (@var "v" (@ho-elim-sort (-> tptp.term Bool)))) % 200.07/200.31 (define @t300 () (_ @t296 @t299 @t294)) % 200.07/200.31 (define @t301 () (@list @t294)) % 200.07/200.31 (define @t302 () (@list @t299)) % 200.07/200.31 (define @t303 () (forall (@list @t295 @t297 @t298) (not (forall @t302 (not (forall @t301 (= @t300 (ite (= @t298 @t294) @t297 (_ @t296 @t295 @t294))))))))) % 200.07/200.31 (define @t304 () (@const 22 (@ho-elim-sort (-> tptp.term Bool)))) % 200.07/200.31 (define @t305 () (_ @t296 @t304 @t294)) % 200.07/200.31 (define @t306 () (= @t238 @t294)) % 200.07/200.31 (define @t307 () (= @t300 (ite @t306 true @t305))) % 200.07/200.31 (define @t308 () (forall @t301 @t307)) % 200.07/200.31 (define @t309 () (not @t308)) % 200.07/200.31 (define @t310 () (forall @t302 @t309)) % 200.07/200.31 (define @t311 () (not @t310)) % 200.07/200.31 (define @t312 () (or (= @t294 @t238) @t305)) % 200.07/200.31 (define @t313 () (forall @t302 (not (forall @t301 (= @t300 @t312))))) % 200.07/200.31 (define @t314 () (not @t313)) % 200.07/200.31 (define @t315 () (@quantifiers_skolemize @t313 0)) % 200.07/200.31 (define @t316 () (_ @t296 @t315 @t294)) % 200.07/200.31 (define @t317 () (forall @t301 (= @t312 @t316))) % 200.07/200.31 (define @t318 () (forall @t301 (= @t316 @t312))) % 200.07/200.31 (define @t319 () (not (not @t318))) % 200.07/200.31 (define @t320 () (_ @t296 @t304 @t282)) % 200.07/200.31 (define @t321 () (= @t238 @t282)) % 200.07/200.31 (define @t322 () (or @t321 @t320)) % 200.07/200.31 (define @t323 () (_ @t296 @t315 @t282)) % 200.07/200.31 (define @t324 () (or (= @t282 @t238) @t320)) % 200.07/200.31 (define @t325 () (= @t324 @t323)) % 200.07/200.31 (define @t326 () (= @t323 @t322)) % 200.07/200.31 (define @t327 () (_ @t225 @t252 @t219)) % 200.07/200.31 (define @t328 () (= @t219 @t327)) % 200.07/200.31 (define @t329 () (@quantifiers_skolemize @t234 0)) % 200.07/200.31 (define @t330 () (_ @t231 @t230 @t329)) % 200.07/200.31 (define @t331 () (_ @t225 (_ @t224 @t223 (_ @t232 @t330 @t235)) @t238)) % 200.07/200.31 (define @t332 () (not (= @t331 @t213))) % 200.07/200.31 (define @t333 () (forall @t183 @t332)) % 200.07/200.31 (define @t334 () (not @t333)) % 200.07/200.31 (define @t335 () (forall @t183 (not (= @t213 @t331)))) % 200.07/200.31 (define @t336 () (not @t335)) % 200.07/200.31 (define @t337 () (@quantifiers_skolemize @t335 0)) % 200.07/200.31 (define @t338 () (_ @t212 @t211 @t337)) % 200.07/200.31 (define @t339 () (= @t331 @t338)) % 200.07/200.31 (define @t340 () (= @t338 @t331)) % 200.07/200.31 (define @t341 () (not (not @t340))) % 200.07/200.31 (define @t342 () (_ @t221 @t220 @t171)) % 200.07/200.31 (define @t343 () (forall @t178 (not (forall @t172 (not (= @t175 @t342)))))) % 200.07/200.31 (define @t344 () (tptp.d2subst @t171)) % 200.07/200.31 (define @t345 () (not @t176)) % 200.07/200.31 (define @t346 () (forall @t172 @t345)) % 200.07/200.31 (define @t347 () (not @t346)) % 200.07/200.31 (define @t348 () (not (= @t329 @t342))) % 200.07/200.31 (define @t349 () (forall @t172 @t348)) % 200.07/200.31 (define @t350 () (not @t349)) % 200.07/200.31 (define @t351 () (forall @t172 (not (= @t342 @t329)))) % 200.07/200.31 (define @t352 () (not @t351)) % 200.07/200.31 (define @t353 () (@quantifiers_skolemize @t351 0)) % 200.07/200.31 (define @t354 () (_ @t221 @t220 @t353)) % 200.07/200.31 (define @t355 () (= @t329 @t354)) % 200.07/200.31 (define @t356 () (= @t354 @t329)) % 200.07/200.31 (define @t357 () (not (not @t356))) % 200.07/200.31 (define @t358 () (not (= @t236 @t213))) % 200.07/200.31 (define @t359 () (forall @t183 @t358)) % 200.07/200.31 (define @t360 () (not @t359)) % 200.07/200.31 (define @t361 () (forall @t183 (not (= @t213 @t236)))) % 200.07/200.31 (define @t362 () (not @t361)) % 200.07/200.31 (define @t363 () (@quantifiers_skolemize @t361 0)) % 200.07/200.31 (define @t364 () (_ @t212 @t211 @t363)) % 200.07/200.31 (define @t365 () (= @t236 @t364)) % 200.07/200.31 (define @t366 () (= @t364 @t236)) % 200.07/200.31 (define @t367 () (not (not @t366))) % 200.07/200.31 (define @t368 () (_ @t227 @t226 @t112)) % 200.07/200.31 (define @t369 () (_ @t263 (_ @t262 @t261 (_ @t225 @t258 (_ @t228 @t368 @t255))) @t222)) % 200.07/200.31 (define @t370 () (not (forall @t53 (or @t266 (_ @t263 (_ @t262 @t261 (_ @t228 @t368 @t265)) @t222))))) % 200.07/200.31 (define @t371 () (_ @t225 @t258 (_ @t225 @t269 @t219))) % 200.07/200.31 (define @t372 () (_ @t263 (_ @t262 @t261 @t371) @t222)) % 200.07/200.31 (define @t373 () (forall @t27 (= @t272 @t273))) % 200.07/200.31 (define @t374 () (not @t373)) % 200.07/200.31 (define @t375 () (or @t374 @t271 @t372)) % 200.07/200.31 (define @t376 () (forall @t275 @t375)) % 200.07/200.31 (define @t377 () (not @t376)) % 200.07/200.31 (define @t378 () (or @t377 @t370 @t369)) % 200.07/200.31 (define @t379 () (@list @t259 @t112)) % 200.07/200.31 (define @t380 () (forall @t379 @t378)) % 200.07/200.31 (define @t381 () (or @t374 @t271)) % 200.07/200.31 (define @t382 () (forall @t275 @t381)) % 200.07/200.31 (define @t383 () (not @t382)) % 200.07/200.31 (define @t384 () (and @t276 @t383)) % 200.07/200.31 (define @t385 () (or @t384 @t267 @t264)) % 200.07/200.31 (define @t386 () (forall @t277 @t385)) % 200.07/200.31 (define @t387 () (not (= @t380 @t386))) % 200.07/200.31 (define @t388 () (tptp.d2subst tptp.d_id)) % 200.07/200.31 (define @t389 () (tptp.d2term tptp.d_one)) % 200.07/200.31 (define @t390 () (tptp.push @t389 @t388)) % 200.07/200.31 (define @t391 () (tptp.push @t34 @t388)) % 200.07/200.31 (define @t392 () (not (_ @t2 @t388 @t34 @t388))) % 200.07/200.31 (define @t393 () (not (forall @t53 (or @t392 (_ @t2 @t388 (tptp.sub @t256 @t391) @t388))))) % 200.07/200.31 (define @t394 () (not (forall @t14 (or (not (_ @t2 @t388 @t8 @t388)) (_ @t2 @t388 (_ @t4 @t388 @t8) @t388))))) % 200.07/200.31 (define @t395 () (tptp.sub @t8 @t17)) % 200.07/200.31 (define @t396 () (tptp.comp @t20 @t17)) % 200.07/200.31 (define @t397 () (_ @t4 @t396 @t395)) % 200.07/200.31 (define @t398 () (_ @t4 @t20 @t8)) % 200.07/200.31 (define @t399 () (tptp.sub @t398 @t17)) % 200.07/200.31 (define @t400 () (forall @t27 (= @t399 @t397))) % 200.07/200.31 (define @t401 () (not @t400)) % 200.07/200.31 (define @t402 () (or @t401 @t394)) % 200.07/200.31 (define @t403 () (forall @t31 @t402)) % 200.07/200.31 (define @t404 () (not @t403)) % 200.07/200.31 (define @t405 () (@list @t2 @t256)) % 200.07/200.31 (define @t406 () (not (forall @t53 (or @t392 (_ @t2 @t388 (tptp.sub @t112 @t391) @t388))))) % 200.07/200.31 (define @t407 () (not (forall @t31 (or @t401 @t394 (_ @t2 @t388 (tptp.lam (_ @t4 @t388 @t389)) @t388))))) % 200.07/200.31 (define @t408 () (forall @t123 (or @t407 @t406 (_ @t2 @t388 (tptp.lam (tptp.sub @t112 @t390)) @t388)))) % 200.07/200.31 (define @t409 () (tptp.push @t93 @t92)) % 200.07/200.31 (define @t410 () (tptp.sub @t256 @t409)) % 200.07/200.31 (define @t411 () (tptp.lam @t410)) % 200.07/200.31 (define @t412 () (_ @t2 @t92 @t411 @t92)) % 200.07/200.31 (define @t413 () (_ @t2 @t92 @t93 @t92)) % 200.07/200.31 (define @t414 () (not @t413)) % 200.07/200.31 (define @t415 () (and @t414 @t404)) % 200.07/200.31 (define @t416 () (or @t415 @t393 @t412)) % 200.07/200.31 (define @t417 () (or @t413 @t403)) % 200.07/200.31 (define @t418 () (or (not @t417) @t393 @t412)) % 200.07/200.31 (define @t419 () (tptp.push @t34 @t92)) % 200.07/200.31 (define @t420 () (tptp.sub @t256 @t419)) % 200.07/200.31 (define @t421 () (_ @t2 @t92 @t420 @t92)) % 200.07/200.31 (define @t422 () (_ @t2 @t92 @t34 @t92)) % 200.07/200.31 (define @t423 () (not @t422)) % 200.07/200.31 (define @t424 () (or @t423 @t421)) % 200.07/200.31 (define @t425 () (forall @t53 @t424)) % 200.07/200.31 (define @t426 () (not @t425)) % 200.07/200.31 (define @t427 () (or @t413 @t402)) % 200.07/200.31 (define @t428 () (or @t401 @t394 @t413)) % 200.07/200.31 (define @t429 () (_ @t163 @t92 @t4)) % 200.07/200.31 (define @t430 () (_ @t2 @t92 @t429 @t92)) % 200.07/200.31 (define @t431 () (_ @t4 @t92 @t8)) % 200.07/200.31 (define @t432 () (_ @t2 @t92 @t431 @t92)) % 200.07/200.31 (define @t433 () (_ @t2 @t92 @t8 @t92)) % 200.07/200.31 (define @t434 () (not @t433)) % 200.07/200.31 (define @t435 () (or @t434 @t432)) % 200.07/200.31 (define @t436 () (forall @t14 @t435)) % 200.07/200.31 (define @t437 () (not @t436)) % 200.07/200.31 (define @t438 () (or @t401 @t437 @t430)) % 200.07/200.31 (define @t439 () (forall @t31 @t438)) % 200.07/200.31 (define @t440 () (not @t439)) % 200.07/200.31 (define @t441 () (or @t440 @t426 @t412)) % 200.07/200.31 (define @t442 () (forall @t405 @t441)) % 200.07/200.31 (define @t443 () (= @t408 @t442)) % 200.07/200.31 (define @t444 () (tptp.push tptp.one tptp.sh)) % 200.07/200.31 (define @t445 () (tptp.sub @t256 @t444)) % 200.07/200.31 (define @t446 () (tptp.lam @t445)) % 200.07/200.31 (define @t447 () (_ @t2 tptp.id @t446 tptp.id)) % 200.07/200.31 (define @t448 () (tptp.push @t34 tptp.id)) % 200.07/200.31 (define @t449 () (tptp.sub @t256 @t448)) % 200.07/200.31 (define @t450 () (_ @t2 tptp.id @t449 tptp.id)) % 200.07/200.31 (define @t451 () (_ @t2 tptp.id @t34 tptp.id)) % 200.07/200.31 (define @t452 () (not @t451)) % 200.07/200.31 (define @t453 () (or @t452 @t450)) % 200.07/200.31 (define @t454 () (forall @t53 @t453)) % 200.07/200.31 (define @t455 () (not @t454)) % 200.07/200.31 (define @t456 () (_ @t2 tptp.id (tptp.hoaslam tptp.id @t4) tptp.id)) % 200.07/200.31 (define @t457 () (_ @t4 tptp.id @t8)) % 200.07/200.31 (define @t458 () (_ @t2 tptp.id @t457 tptp.id)) % 200.07/200.31 (define @t459 () (_ @t2 tptp.id @t8 tptp.id)) % 200.07/200.31 (define @t460 () (not @t459)) % 200.07/200.31 (define @t461 () (or @t460 @t458)) % 200.07/200.31 (define @t462 () (forall @t14 @t461)) % 200.07/200.31 (define @t463 () (not @t462)) % 200.07/200.31 (define @t464 () (or @t401 @t463 @t456)) % 200.07/200.31 (define @t465 () (forall @t31 @t464)) % 200.07/200.31 (define @t466 () (not @t465)) % 200.07/200.31 (define @t467 () (or @t466 @t455 @t447)) % 200.07/200.31 (define @t468 () (forall @t405 @t467)) % 200.07/200.31 (define @t469 () (tptp.sub @t112 @t409)) % 200.07/200.31 (define @t470 () (tptp.lam @t469)) % 200.07/200.31 (define @t471 () (_ @t2 @t92 @t470 @t92)) % 200.07/200.31 (define @t472 () (or @t407 @t406 @t471)) % 200.07/200.31 (define @t473 () (tptp.sub @t112 @t419)) % 200.07/200.31 (define @t474 () (_ @t2 @t92 @t473 @t92)) % 200.07/200.31 (define @t475 () (or @t423 @t474)) % 200.07/200.31 (define @t476 () (forall @t53 @t475)) % 200.07/200.31 (define @t477 () (not @t476)) % 200.07/200.31 (define @t478 () (_ @t4 @t92 @t93)) % 200.07/200.31 (define @t479 () (tptp.lam @t478)) % 200.07/200.31 (define @t480 () (_ @t2 @t92 @t479 @t92)) % 200.07/200.31 (define @t481 () (or @t401 @t394 @t480)) % 200.07/200.31 (define @t482 () (or @t401 @t437 @t480)) % 200.07/200.31 (define @t483 () (forall @t31 @t482)) % 200.07/200.31 (define @t484 () (not @t483)) % 200.07/200.31 (define @t485 () (or @t484 @t477 @t471)) % 200.07/200.31 (define @t486 () (forall @t123 @t485)) % 200.07/200.31 (define @t487 () (tptp.sub @t112 @t444)) % 200.07/200.31 (define @t488 () (tptp.lam @t487)) % 200.07/200.31 (define @t489 () (_ @t2 tptp.id @t488 tptp.id)) % 200.07/200.31 (define @t490 () (tptp.sub @t112 @t448)) % 200.07/200.31 (define @t491 () (_ @t2 tptp.id @t490 tptp.id)) % 200.07/200.31 (define @t492 () (or @t452 @t491)) % 200.07/200.31 (define @t493 () (forall @t53 @t492)) % 200.07/200.31 (define @t494 () (not @t493)) % 200.07/200.31 (define @t495 () (_ @t4 tptp.sh tptp.one)) % 200.07/200.31 (define @t496 () (tptp.lam @t495)) % 200.07/200.31 (define @t497 () (_ @t2 tptp.id @t496 tptp.id)) % 200.07/200.31 (define @t498 () (or @t401 @t463 @t497)) % 200.07/200.31 (define @t499 () (forall @t31 @t498)) % 200.07/200.31 (define @t500 () (not @t499)) % 200.07/200.31 (define @t501 () (or @t500 @t494 @t489)) % 200.07/200.31 (define @t502 () (forall @t123 @t501)) % 200.07/200.31 (define @t503 () (or @t500 @t494 @t116)) % 200.07/200.31 (define @t504 () (or @t401 @t463 @t7)) % 200.07/200.31 (define @t505 () (= tptp.hoasinduction_lem3aa @t468)) % 200.07/200.31 (define @t506 () (or @t455 @t447)) % 200.07/200.31 (define @t507 () (or @t466 @t506)) % 200.07/200.31 (define @t508 () (forall @t405 @t507)) % 200.07/200.31 (define @t509 () (@list @t256)) % 200.07/200.31 (define @t510 () (forall @t509 @t507)) % 200.07/200.31 (define @t511 () (forall @t509 @t506)) % 200.07/200.31 (define @t512 () (or @t466 @t511)) % 200.07/200.31 (define @t513 () (tptp.sub @t8 @t444)) % 200.07/200.31 (define @t514 () (tptp.lam @t513)) % 200.07/200.31 (define @t515 () (_ @t2 tptp.id @t514 tptp.id)) % 200.07/200.31 (define @t516 () (tptp.sub @t8 @t448)) % 200.07/200.31 (define @t517 () (_ @t2 tptp.id @t516 tptp.id)) % 200.07/200.31 (define @t518 () (forall @t53 (or @t452 @t517))) % 200.07/200.31 (define @t519 () (not @t518)) % 200.07/200.31 (define @t520 () (forall @t14 (or @t519 @t515))) % 200.07/200.31 (define @t521 () (or @t519 @t193)) % 200.07/200.31 (define @t522 () (or @t38 @t194)) % 200.07/200.31 (define @t523 () (lambda @t198 @t398)) % 200.07/200.31 (define @t524 () (tptp.hoaslam tptp.id @t523)) % 200.07/200.31 (define @t525 () (_ @t2 tptp.id @t524 tptp.id)) % 200.07/200.31 (define @t526 () (or @t401 @t463 @t525)) % 200.07/200.31 (define @t527 () (or @t401 @t463 @t202)) % 200.07/200.31 (define @t528 () (=> @t462 @t202)) % 200.07/200.31 (define @t529 () (@const 23 (@ho-elim-sort (-> tptp.subst tptp.term tptp.subst Bool)))) % 200.07/200.31 (define @t530 () (_ @t228 @t237 @t255)) % 200.07/200.31 (define @t531 () (_ @t225 @t258 @t530)) % 200.07/200.31 (define @t532 () (_ @t260 @t529 @t222)) % 200.07/200.31 (define @t533 () (_ @t262 @t532 @t531)) % 200.07/200.31 (define @t534 () (_ @t263 @t533 @t222)) % 200.07/200.31 (define @t535 () (forall @t53 (or (not (_ @t263 (_ @t262 @t532 @t34) @t222)) (_ @t263 (_ @t262 @t532 (_ @t228 @t237 @t265)) @t222)))) % 200.07/200.31 (define @t536 () (not @t535)) % 200.07/200.31 (define @t537 () (not (_ @t263 (_ @t262 @t532 @t8) @t222))) % 200.07/200.31 (define @t538 () (forall @t275 (or @t274 (not (forall @t14 (or @t537 (_ @t263 (_ @t262 @t532 @t270) @t222))))))) % 200.07/200.31 (define @t539 () (not @t538)) % 200.07/200.31 (define @t540 () (not (_ @t263 (_ @t262 @t532 @t219) @t222))) % 200.07/200.31 (define @t541 () (and @t540 @t539)) % 200.07/200.31 (define @t542 () (or @t541 @t536 @t534)) % 200.07/200.31 (define @t543 () (forall @t379 (or (not (forall @t275 (or @t274 @t271 @t372))) @t370 @t369))) % 200.07/200.31 (define @t544 () (@quantifiers_skolemize @t543 1)) % 200.07/200.31 (define @t545 () (@quantifiers_skolemize @t543 0)) % 200.07/200.31 (define @t546 () (_ @t227 @t226 @t544)) % 200.07/200.31 (define @t547 () (_ @t260 @t545 @t222)) % 200.07/200.31 (define @t548 () (_ @t263 (_ @t262 @t547 (_ @t225 @t258 (_ @t228 @t546 @t255))) @t222)) % 200.07/200.31 (define @t549 () (forall @t53 (or (not (_ @t263 (_ @t262 @t547 @t34) @t222)) (_ @t263 (_ @t262 @t547 (_ @t228 @t546 @t265)) @t222)))) % 200.07/200.31 (define @t550 () (not @t549)) % 200.07/200.31 (define @t551 () (not (_ @t263 (_ @t262 @t547 @t8) @t222))) % 200.07/200.31 (define @t552 () (not (forall @t14 (or @t551 (_ @t263 (_ @t262 @t547 @t270) @t222))))) % 200.07/200.31 (define @t553 () (_ @t263 (_ @t262 @t547 @t219) @t222)) % 200.07/200.31 (define @t554 () (not @t553)) % 200.07/200.31 (define @t555 () (and @t554 (not (forall @t275 (or @t274 @t552))))) % 200.07/200.31 (define @t556 () (or @t555 @t550 @t548)) % 200.07/200.31 (define @t557 () (forall @t275 (or @t274 @t552 (_ @t263 (_ @t262 @t547 @t371) @t222)))) % 200.07/200.31 (define @t558 () (not @t557)) % 200.07/200.31 (define @t559 () (or @t558 @t550 @t548)) % 200.07/200.31 (define @t560 () (not @t559)) % 200.07/200.31 (define @t561 () (not @t543)) % 200.07/200.31 (define @t562 () (= @t219 (_ @t225 @t258 @t219))) % 200.07/200.31 (define @t563 () (_ @t225 @t258 @t327)) % 200.07/200.31 (define @t564 () (_ @t227 @t226 @t219)) % 200.07/200.31 (define @t565 () (_ @t228 @t564 @t222)) % 200.07/200.31 (define @t566 () (= @t219 @t565)) % 200.07/200.31 (define @t567 () (= @t222 @t255)) % 200.07/200.31 (define @t568 () (_ @t228 @t564 @t255)) % 200.07/200.31 (define @t569 () (_ @t225 @t258 @t568)) % 200.07/200.31 (define @t570 () (_ @t262 @t532 @t569)) % 200.07/200.31 (define @t571 () (@quantifiers_skolemize @t535 0)) % 200.07/200.31 (define @t572 () (forall @t183 (not (= @t213 @t571)))) % 200.07/200.31 (define @t573 () (@quantifiers_skolemize @t572 0)) % 200.07/200.31 (define @t574 () (_ @t212 @t211 @t573)) % 200.07/200.31 (define @t575 () (not (= @t571 @t213))) % 200.07/200.31 (define @t576 () (forall @t183 @t575)) % 200.07/200.31 (define @t577 () (not @t576)) % 200.07/200.31 (define @t578 () (not @t572)) % 200.07/200.31 (define @t579 () (= @t571 @t574)) % 200.07/200.31 (define @t580 () (= @t574 @t571)) % 200.07/200.31 (define @t581 () (not (not @t580))) % 200.07/200.31 (define @t582 () (_ @t262 @t532 @t571)) % 200.07/200.31 (define @t583 () (_ @t263 @t582 @t222)) % 200.07/200.31 (define @t584 () (not @t583)) % 200.07/200.31 (define @t585 () (or @t584 (_ @t263 (_ @t262 @t532 (_ @t228 @t237 (_ @t232 (_ @t254 @t253 @t571) @t222))) @t222))) % 200.07/200.31 (define @t586 () (not @t585)) % 200.07/200.31 (define @t587 () (@quantifiers_skolemize @t538 0)) % 200.07/200.31 (define @t588 () (_ @t224 @t587 @t222)) % 200.07/200.31 (define @t589 () (_ @t225 @t588 @t219)) % 200.07/200.31 (define @t590 () (_ @t225 @t258 @t589)) % 200.07/200.31 (define @t591 () (_ @t262 @t547 @t590)) % 200.07/200.31 (define @t592 () (_ @t263 @t591 @t222)) % 200.07/200.31 (define @t593 () (_ @t225 @t588 @t8)) % 200.07/200.31 (define @t594 () (forall @t14 (or @t551 (_ @t263 (_ @t262 @t547 @t593) @t222)))) % 200.07/200.31 (define @t595 () (not @t594)) % 200.07/200.31 (define @t596 () (forall @t27 (= (_ @t225 (_ @t224 @t587 @t233) @t229) (_ @t228 (_ @t227 @t226 (_ @t225 (_ @t224 @t587 @t20) @t8)) @t17)))) % 200.07/200.31 (define @t597 () (not @t596)) % 200.07/200.31 (define @t598 () (or @t597 @t595 @t592)) % 200.07/200.31 (define @t599 () (or @t597 (not (forall @t14 (or @t537 (_ @t263 (_ @t262 @t532 @t593) @t222)))))) % 200.07/200.31 (define @t600 () (not @t599)) % 200.07/200.31 (define @t601 () (_ @t231 @t230 @t222)) % 200.07/200.31 (define @t602 () (_ @t232 @t601 @t222)) % 200.07/200.31 (define @t603 () (= @t222 @t602)) % 200.07/200.31 (define @t604 () (_ @t224 @t587 @t602)) % 200.07/200.31 (define @t605 () (_ @t225 @t604 @t565)) % 200.07/200.31 (define @t606 () (not (= @t605 @t213))) % 200.07/200.31 (define @t607 () (forall @t183 @t606)) % 200.07/200.31 (define @t608 () (not @t607)) % 200.07/200.31 (define @t609 () (forall @t183 (not (= @t213 @t605)))) % 200.07/200.31 (define @t610 () (not @t609)) % 200.07/200.31 (define @t611 () (@quantifiers_skolemize @t609 0)) % 200.07/200.31 (define @t612 () (_ @t212 @t211 @t611)) % 200.07/200.31 (define @t613 () (= @t605 @t612)) % 200.07/200.31 (define @t614 () (= @t612 @t605)) % 200.07/200.31 (define @t615 () (not (not @t614))) % 200.07/200.31 (define @t616 () (_ @t224 @t587 @t329)) % 200.07/200.31 (define @t617 () (_ @t227 @t226 (_ @t225 @t616 @t331))) % 200.07/200.31 (define @t618 () (_ @t227 @t226 @t589)) % 200.07/200.31 (define @t619 () (_ @t225 @t616 @t219)) % 200.07/200.31 (define @t620 () (_ @t225 @t588 @t331)) % 200.07/200.31 (define @t621 () (_ @t227 @t226 @t605)) % 200.07/200.31 (define @t622 () (_ @t227 @t226 @t331)) % 200.07/200.31 (define @t623 () (_ @t228 @t622 @t329)) % 200.07/200.31 (define @t624 () (_ @t232 @t330 @t329)) % 200.07/200.31 (define @t625 () (_ @t224 @t587 @t624)) % 200.07/200.31 (define @t626 () (_ @t225 @t625 @t623)) % 200.07/200.31 (define @t627 () (not @t592)) % 200.07/200.31 (define @t628 () (= @t219 @t605)) % 200.07/200.31 (define @t629 () (not @t628)) % 200.07/200.31 (define @t630 () (= tptp.d_id @t353)) % 200.07/200.31 (define @t631 () (not @t630)) % 200.07/200.31 (define @t632 () (= tptp.d_one @t337)) % 200.07/200.31 (define @t633 () (not @t632)) % 200.07/200.31 (define @t634 () (not @t355)) % 200.07/200.31 (define @t635 () (not @t339)) % 200.07/200.31 (define @t636 () (= @t626 (_ @t228 @t617 @t329))) % 200.07/200.31 (define @t637 () (not @t636)) % 200.07/200.31 (define @t638 () (not @t328)) % 200.07/200.31 (define @t639 () (not @t603)) % 200.07/200.31 (define @t640 () (not @t567)) % 200.07/200.31 (define @t641 () (not @t566)) % 200.07/200.31 (define @t642 () (not @t562)) % 200.07/200.31 (define @t643 () (not @t554)) % 200.07/200.31 (define @t644 () (_ @t262 @t547 @t563)) % 200.07/200.31 (define @t645 () (_ @t263 @t644 @t222)) % 200.07/200.31 (define @t646 () (_ @t228 @t621 @t255)) % 200.07/200.31 (define @t647 () (and @t554 @t562 @t328 @t632 @t339 @t628 @t603 @t566 @t630 @t355 @t567 @t636 @t592)) % 200.07/200.31 (define @t648 () (@quantifiers_skolemize @t594 0)) % 200.07/200.31 (define @t649 () (_ @t262 @t547 @t648)) % 200.07/200.31 (define @t650 () (_ @t263 @t649 @t222)) % 200.07/200.31 (define @t651 () (not @t650)) % 200.07/200.31 (define @t652 () (or @t651 (_ @t263 (_ @t262 @t547 (_ @t225 @t588 @t648)) @t222))) % 200.07/200.31 (define @t653 () (not @t652)) % 200.07/200.31 (define @t654 () (not (= @t648 @t213))) % 200.07/200.31 (define @t655 () (forall @t183 @t654)) % 200.07/200.31 (define @t656 () (not @t655)) % 200.07/200.31 (define @t657 () (forall @t183 (not (= @t213 @t648)))) % 200.07/200.31 (define @t658 () (not @t657)) % 200.07/200.31 (define @t659 () (@quantifiers_skolemize @t657 0)) % 200.07/200.31 (define @t660 () (_ @t212 @t211 @t659)) % 200.07/200.31 (define @t661 () (= @t648 @t660)) % 200.07/200.31 (define @t662 () (= @t660 @t648)) % 200.07/200.31 (define @t663 () (not (not @t662))) % 200.07/200.31 (define @t664 () (= tptp.d_one @t659)) % 200.07/200.31 (define @t665 () (not @t664)) % 200.07/200.31 (define @t666 () (not @t661)) % 200.07/200.31 (define @t667 () (and @t562 @t328 @t554 @t661 @t664)) % 200.07/200.31 (define @t668 () (not @t278)) % 200.07/200.31 (define @t669 () (_ @t227 @t226 (@quantifiers_skolemize @t278 1))) % 200.07/200.31 (define @t670 () (_ @t228 @t669 @t255)) % 200.07/200.31 (define @t671 () (_ @t263 (_ @t262 @t279 (_ @t225 @t258 @t670)) @t222)) % 200.07/200.31 (define @t672 () (forall @t275 (or @t274 (not (forall @t14 (or @t280 (_ @t263 (_ @t262 @t279 @t270) @t222))))))) % 200.07/200.31 (define @t673 () (not @t672)) % 200.07/200.31 (define @t674 () (_ @t262 @t279 @t219)) % 200.07/200.31 (define @t675 () (_ @t263 @t674 @t222)) % 200.07/200.31 (define @t676 () (not @t675)) % 200.07/200.31 (define @t677 () (and @t676 @t673)) % 200.07/200.31 (define @t678 () (or @t677 (not (forall @t53 (or (not (_ @t263 (_ @t262 @t279 @t34) @t222)) (_ @t263 (_ @t262 @t279 (_ @t228 @t669 @t265)) @t222)))) @t671)) % 200.07/200.31 (define @t679 () (not @t678)) % 200.07/200.31 (define @t680 () (@list @t678)) % 200.07/200.31 (define @t681 () (forall @t183 (not (= @t213 @t670)))) % 200.07/200.31 (define @t682 () (@quantifiers_skolemize @t681 0)) % 200.07/200.31 (define @t683 () (not (= @t670 @t213))) % 200.07/200.31 (define @t684 () (forall @t183 @t683)) % 200.07/200.31 (define @t685 () (not @t684)) % 200.07/200.31 (define @t686 () (not @t681)) % 200.07/200.31 (define @t687 () (_ @t212 @t211 @t682)) % 200.07/200.31 (define @t688 () (= @t670 @t687)) % 200.07/200.31 (define @t689 () (= @t687 @t670)) % 200.07/200.31 (define @t690 () (not (not @t689))) % 200.07/200.31 (define @t691 () (not @t671)) % 200.07/200.31 (define @t692 () (= tptp.d_one @t682)) % 200.07/200.31 (define @t693 () (not @t692)) % 200.07/200.31 (define @t694 () (not @t688)) % 200.07/200.31 (define @t695 () (not @t691)) % 200.07/200.31 (define @t696 () (and @t562 @t328 @t691 @t688 @t692)) % 200.07/200.31 (define @t697 () (@list true true)) % 200.07/200.31 (define @t698 () (not @t281)) % 200.07/200.31 (define @t699 () (not @t234)) % 200.07/200.31 (define @t700 () (or @t699 @t698)) % 200.07/200.31 (define @t701 () (_ @t262 @t279 @t282)) % 200.07/200.31 (define @t702 () (_ @t263 @t701 @t222)) % 200.07/200.31 (define @t703 () (not @t702)) % 200.07/200.31 (define @t704 () (= tptp.d_one @t289)) % 200.07/200.31 (define @t705 () (not @t704)) % 200.07/200.31 (define @t706 () (not @t291)) % 200.07/200.31 (define @t707 () (and @t562 @t328 @t691 @t688 @t692 @t291 @t704)) % 200.07/200.31 (define @t708 () (or @t703 (_ @t263 (_ @t262 @t279 (_ @t225 @t252 @t282)) @t222))) % 200.07/200.31 (define @t709 () (not @t708)) % 200.07/200.31 (define @t710 () (= @t331 (_ @t228 (_ @t227 @t226 (_ @t225 (_ @t224 @t223 @t329) @t236)) @t235))) % 200.07/200.31 (define @t711 () (not @t710)) % 200.07/200.31 (define @t712 () (= tptp.d_one @t363)) % 200.07/200.31 (define @t713 () (= @t219 @t238)) % 200.07/200.31 (define @t714 () (and @t328 @t339 @t355 @t632 @t630 @t365 @t712 @t713)) % 200.07/200.31 (define @t715 () (not @t713)) % 200.07/200.31 (define @t716 () (_ @t296 @t304 @t219)) % 200.07/200.31 (define @t717 () (or @t713 @t716)) % 200.07/200.31 (define @t718 () (not @t717)) % 200.07/200.31 (define @t719 () (_ @t296 @t315 @t219)) % 200.07/200.31 (define @t720 () (= @t717 @t719)) % 200.07/200.31 (define @t721 () (not @t719)) % 200.07/200.31 (define @t722 () (@list true false)) % 200.07/200.31 (define @t723 () (not @t323)) % 200.07/200.31 (define @t724 () (and @t721 @t291 @t704)) % 200.07/200.31 (define @t725 () (not @t322)) % 200.07/200.31 (define @t726 () (not @t321)) % 200.07/200.31 (define @t727 () (= tptp.d_one @t246)) % 200.07/200.31 (define @t728 () (@list @t246)) % 200.07/200.31 (define @t729 () (and @t248 @t727 @t291 @t704)) % 200.07/200.31 (define @t730 () (not @t727)) % 200.07/200.31 (define @t731 () (forall @t183 (= tptp.d_one @t182))) % 200.07/200.31 (assume @p1 (and @t190 @t184 (forall (@list @t181 @t180) (=> (= (_ tptp.d2term @t181) (_ tptp.d2term @t180)) (= @t181 @t180))) @t179 @t173 (forall (@list @t170 @t169) (=> (= (_ tptp.d2subst @t170) (_ tptp.d2subst @t169)) (= @t170 @t169))) (= tptp.one @t93) (= (_ (_ tptp.ap @t93) @t93) @t93) (= @t168 @t93) (= @t167 @t93) (= tptp.id @t92) (= tptp.sh @t92) (= @t166 @t92) (= @t165 @t92) (= @t164 @t93) (= tptp.hoaslam @t163) (= tptp.hoasinduction_p_and_p_prime (lambda (@list @t2 @t49) @t57)) (= tptp.pushprop_p_and_p_prime (lambda (@list @t8 @t20 @t62 @t49) @t80)) @t162 (= tptp.pushprop_lem1v2 @t146) tptp.pushprop_lem1_gthm tptp.axmap tptp.pushprop_lem0_gthm (= tptp.shinj (forall @t39 (or (not (= (_ @t18 tptp.sh) (_ @t104 tptp.sh))) @t125))) tptp.hoasinduction_lem1v2 tptp.hoasinduction_lem1v2_gthm (= tptp.induction2lem @t108) (= tptp.hoasinduction_lem3v2_f @t109) tptp.axvarshift (= tptp.hoasapinj2 @t139) tptp.hoasapnotvar_gthm (= tptp.hoasapinj1 @t135) (not tptp.ulamvar1) (= tptp.induction2lem_lthm (=> @t89 (=> @t85 (=> @t100 (=> @t145 @t108))))) tptp.hoasinduction_lem3v2_gthm tptp.apnotvar tptp.pushprop_lthm_orig (= tptp.hoasinduction_lem3v2_f_lthm @t109) (= tptp.hoasinduction_lthm (=> @t73 (=> @t149 (=> @t111 @t47)))) (= tptp.hoasinduction_no_psi_cond_lthm (=> @t76 (=> @t73 (=> @t60 (=> @t59 @t96))))) (= tptp.hoaslaminj @t130) (= tptp.hoasinduction_lem3aaa (forall (@list @t2 @t150) (or (not (forall (@list @t4 @t157) (or @t16 @t7 (not (forall (@list @t160 @t161 @t159) (= (_ (_ tptp.sub (_ (_ @t4 @t160) @t161)) @t159) (_ (_ tptp.sub (_ @t158 (_ (_ tptp.push @t161) @t160))) @t159)))) (not (forall (@list @t153 @t155 @t152) (= (_ (_ @t4 @t154) @t156) (_ @t158 (_ (_ tptp.push @t156) @t154)))))))) (not (forall @t53 (or @t38 (_ (_ @t3 (_ @t151 @t51)) tptp.id)))) (_ (_ @t3 (_ tptp.lam (_ @t151 @t103))) tptp.id)))) tptp.induction2lem_gthm (= tptp.hoasinduction_lem3aa_lthm @t124) (= tptp.hoasinduction_lem3 @t111) (= tptp.hoasinduction_lem2 @t149) (= tptp.termmset_lthm (=> @t60 @t60)) tptp.hoasinduction_lem1 tptp.hoaslamnotap_lthm (= tptp.pushprop_lem1v2_lthm (=> @t89 @t146)) tptp.hoasapnotvar (= tptp.hoasinduction_lem0 @t76) (= tptp.hoasinduction @t47) tptp.hoasinduction_gthm tptp.axapp tptp.hoaslamnotvar_lthm tptp.pushprop_lem3v2_lthm (= tptp.hoasinduction_lem3b_lthm @t105) tptp.ulamvarind (= tptp.induction @t145) (= tptp.hoasinduction_lem3a_lthm (=> @t60 (=> @t124 @t98))) tptp.termmset_gthm @t143 tptp.pushprop_lem1v2_gthm tptp.hoaslamnotap_gthm tptp.hoaslamnotvar_gthm tptp.hoasinduction_lem3b_gthm tptp.pushprop_lem2v2 tptp.hoasinduction_lem3a_gthm tptp.axclos tptp.axassoc (= tptp.hoasinduction_lem2v2 (forall (@list @t2 @t49 @t142 @t141) (or @t46 @t45 @t40 @t58 (not (_ @t49 @t142)) (not (_ @t49 @t141)) (_ @t49 (_ (_ tptp.ap @t142) @t141))))) tptp.pushprop_lthm (= tptp.apinj2 @t140) (= tptp.apinj1 @t137) (= tptp.hoasapinj2_lthm (=> @t140 @t139)) (= tptp.hoasinduction_lem3v2a @t59) (= tptp.hoasapinj1_lthm (=> @t60 (=> @t137 @t135))) (= tptp.hoaslaminj_lthm (=> @t89 (=> @t85 (=> @t126 @t130)))) (= tptp.axvarcons @t89) (= tptp.axscons (forall @t99 (= @t20 (_ (_ tptp.push (_ @t88 @t20)) (_ @t83 @t20))))) tptp.hoasinduction_lem2v2_gthm (= tptp.axidr @t100) (= tptp.pushprop_lem1 @t87) (= tptp.laminj @t126) (= tptp.hoasinduction_lem3_lthm (=> @t60 (=> @t124 @t111))) (= tptp.pushprop_lem0 @t82) tptp.pushprop_gthm tptp.axabs (= tptp.hoasinduction_lem3v2a_lthm (=> @t109 (=> @t60 @t59))) tptp.hoasinduction_lem2_lthm tptp.hoasapinj2_gthm tptp.hoasinduction_lem1_lthm (not tptp.lamnotap) tptp.hoasapinj1_gthm tptp.hoaslamnotvar (= tptp.axidl @t101) tptp.hoaslaminj_gthm (= tptp.induction2_lthm (=> @t60 (=> @t108 @t73))) (= tptp.hoasinduction_lem0_lthm @t76) (= tptp.substmonoid_lthm (=> @t101 (=> @t100 @t102))) tptp.pushprop tptp.hoasinduction_lem3_gthm tptp.hoasinduction_lem2_gthm (= tptp.hoasinduction_lem3b @t105) (= tptp.substmonoid @t102) tptp.lamnotvar (= tptp.hoasinduction_lem3a @t98) tptp.hoasinduction_lem1_gthm (= tptp.hoasinduction_no_psi_cond @t96) tptp.induction2_gthm tptp.pushprop_lem2v2_lthm @t94 (= tptp.hoaslamnotap (forall (@list @t4 @t91 @t90) (or @t29 (not (= @t6 (_ (_ tptp.ap (_ (_ tptp.sub @t91) tptp.id)) @t90)))))) tptp.substmonoid_gthm tptp.ulamvarsh (= tptp.induction2 @t73) tptp.pushprop_lem3v2 tptp.pushprop_lem2v2_gthm (= tptp.pushprop_lem1_lthm (=> @t89 (=> @t85 @t87))) (= tptp.hoasinduction_lem3v2 @t78) (= tptp.axshiftcons @t85) (= tptp.termmset @t60) (= tptp.pushprop_lem0_lthm @t82) tptp.hoasapnotvar_lthm (= tptp.hoasinduction_lem3v2_lthm (=> @t60 @t78)) (= tptp.axvarid @t60) (= tptp.hoasinduction_lthm_3 (=> @t76 (=> @t73 (=> @t60 (=> @t59 @t47))))))) % 200.07/200.31 (assume @p2 @t210) % 200.07/200.31 (assume @p3 true) % 200.07/200.31 (step @p4 :rule eq-symm :args (@t182 tptp.d_one)) % 200.07/200.31 (step @p5 :rule cong :premises (@p4) :args (@t184)) % 200.07/200.31 (step @p6 :rule and_elim :premises (@p1) :args (1)) % 200.07/200.31 (step @p7 :rule eq_resolve :premises (@p6 @p5)) % 200.07/200.31 ; WARNING: add trust step for TRUST % 200.07/200.31 ; trust TRUST PREPROCESS_HO_ELIM % 200.07/200.31 (step @p8 :rule trust :premises () :args ((= (forall @t189 (not (forall @t183 (not (= @t186 @t215))))) @t214))) % 200.07/200.31 (step @p9 :rule refl :args (@t215)) % 200.07/200.31 (step @p10 :rule refl :args (@t185)) % 200.07/200.31 (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t185 @t215))) % 200.07/200.31 (step @p12 :rule symm :premises (@p11)) % 200.07/200.31 (step @p13 :rule eq_resolve :premises (@p10 @p12)) % 200.07/200.31 (step @p14 :rule refl :args (@t186)) % 200.07/200.31 (step @p15 :rule cong :premises (@p14 @p13) :args (@t187)) % 200.07/200.31 (step @p16 :rule cong :premises (@p15) :args (@t216)) % 200.07/200.31 (step @p17 :rule cong :premises (@p16) :args (@t217)) % 200.07/200.31 (step @p18 :rule cong :premises (@p17) :args (@t218)) % 200.07/200.31 (step @p19 :rule exists-elim :args ((= @t188 @t218))) % 200.07/200.31 (step @p20 :rule trans :premises (@p19 @p18)) % 200.07/200.31 (step @p21 :rule cong :premises (@p20) :args (@t190)) % 200.07/200.31 (step @p22 :rule trans :premises (@p21 @p8)) % 200.07/200.31 (step @p23 :rule and_elim :premises (@p1) :args (0)) % 200.07/200.31 (step @p24 :rule eq_resolve :premises (@p23 @p22)) % 200.07/200.31 (step @p25 :rule eq-symm :args (@t238 @t213)) % 200.07/200.31 (step @p26 :rule cong :premises (@p25) :args (@t239)) % 200.07/200.31 (step @p27 :rule cong :premises (@p26) :args (@t240)) % 200.07/200.31 (step @p28 :rule cong :premises (@p27) :args (@t241)) % 200.07/200.31 (step @p29 :rule refl :args (@t214)) % 200.07/200.31 (step @p30 :rule cong :premises (@p29 @p28) :args ((=> @t214 @t241))) % 200.07/200.31 (assume-push @p1529 @t214) % 200.07/200.31 (step @p32 :rule instantiate :premises (@p24) :args ((@list @t238))) % 200.07/200.31 (step-pop @p1530 :rule scope :premises (@p32)) % 200.07/200.31 (step @p33 :rule process_scope :premises (@p1530) :args (@t241)) % 200.07/200.31 (step @p35 :rule eq_resolve :premises (@p33 @p30)) % 200.07/200.31 (step @p36 :rule implies_elim :premises (@p35)) % 200.07/200.31 (step @p37 :rule chain_m_resolution :premises (@p36 @p24) :args (@t243 @t244 @t245)) % 200.07/200.31 (step @p38 :rule refl :args (@t248)) % 200.07/200.31 (step @p39 :rule bool-double-not-elim :args (@t242)) % 200.07/200.31 (step @p40 :rule nary_cong :premises (@p39 @p38) :args ((or (not @t243) @t248))) % 200.07/200.31 (step @p41 :rule eq-symm :args (@t247 @t238)) % 200.07/200.31 (step @p42 :rule bool-double-not-elim :args (@t249)) % 200.07/200.31 (step @p43 :rule trans :premises (@p42 @p41)) % 200.07/200.31 (step @p44 :rule refl :args (@t243)) % 200.07/200.31 (step @p45 :rule cong :premises (@p44 @p43) :args ((=> @t243 @t250))) % 200.07/200.31 (assume-push @p1531 @t243) % 200.07/200.31 (step @p47 :rule skolemize :premises (@p37)) % 200.07/200.31 (step-pop @p1532 :rule scope :premises (@p47)) % 200.07/200.31 (step @p48 :rule process_scope :premises (@p1532) :args (@t250)) % 200.07/200.31 (step @p50 :rule eq_resolve :premises (@p48 @p45)) % 200.07/200.31 (step @p51 :rule implies_elim :premises (@p50)) % 200.07/200.31 (step @p52 :rule eq_resolve :premises (@p51 @p40)) % 200.07/200.31 (step @p53 :rule chain_m_resolution :premises (@p52 @p37) :args (@t248 @t251 (@list @t242))) % 200.07/200.31 (step @p54 :rule eq-symm :args (@t282 @t213)) % 200.07/200.31 (step @p55 :rule cong :premises (@p54) :args (@t283)) % 200.07/200.31 (step @p56 :rule cong :premises (@p55) :args (@t284)) % 200.07/200.31 (step @p57 :rule cong :premises (@p56) :args (@t285)) % 200.07/200.31 (step @p58 :rule cong :premises (@p29 @p57) :args ((=> @t214 @t285))) % 200.07/200.31 (assume-push @p1533 @t214) % 200.07/200.31 (step @p60 :rule instantiate :premises (@p24) :args (@t286)) % 200.07/200.31 (step-pop @p1534 :rule scope :premises (@p60)) % 200.07/200.31 (step @p61 :rule process_scope :premises (@p1534) :args (@t285)) % 200.07/200.31 (step @p63 :rule eq_resolve :premises (@p61 @p58)) % 200.07/200.31 (step @p64 :rule implies_elim :premises (@p63)) % 200.07/200.31 (step @p65 :rule chain_m_resolution :premises (@p64 @p24) :args (@t288 @t244 @t245)) % 200.07/200.31 (step @p66 :rule refl :args (@t291)) % 200.07/200.31 (step @p67 :rule bool-double-not-elim :args (@t287)) % 200.07/200.31 (step @p68 :rule nary_cong :premises (@p67 @p66) :args ((or (not @t288) @t291))) % 200.07/200.31 (step @p69 :rule eq-symm :args (@t290 @t282)) % 200.07/200.31 (step @p70 :rule bool-double-not-elim :args (@t292)) % 200.07/200.31 (step @p71 :rule trans :premises (@p70 @p69)) % 200.07/200.31 (step @p72 :rule refl :args (@t288)) % 200.07/200.31 (step @p73 :rule cong :premises (@p72 @p71) :args ((=> @t288 @t293))) % 200.07/200.31 (assume-push @p1535 @t288) % 200.07/200.31 (step @p75 :rule skolemize :premises (@p65)) % 200.07/200.31 (step-pop @p1536 :rule scope :premises (@p75)) % 200.07/200.31 (step @p76 :rule process_scope :premises (@p1536) :args (@t293)) % 200.07/200.31 (step @p78 :rule eq_resolve :premises (@p76 @p73)) % 200.07/200.31 (step @p79 :rule implies_elim :premises (@p78)) % 200.07/200.31 (step @p80 :rule eq_resolve :premises (@p79 @p68)) % 200.07/200.31 (step @p81 :rule chain_m_resolution :premises (@p80 @p65) :args (@t291 @t251 (@list @t287))) % 200.07/200.31 (step @p82 :rule instantiate :premises (@p7) :args ((@list @t289))) % 200.07/200.31 ; trust TRUST PREPROCESS_HO_ELIM_LEMMA % 200.07/200.31 (step @p83 :rule trust :premises () :args (@t303)) % 200.07/200.31 (step @p84 :rule refl :args (@t305)) % 200.07/200.31 (step @p85 :rule eq-symm :args (@t238 @t294)) % 200.07/200.31 (step @p86 :rule nary_cong :premises (@p85 @p84) :args ((or @t306 @t305))) % 200.07/200.31 (step @p87 :rule ite-then-true :args (@t306 @t305)) % 200.07/200.31 (step @p88 :rule trans :premises (@p87 @p86)) % 200.07/200.31 (step @p89 :rule refl :args (@t300)) % 200.07/200.31 (step @p90 :rule cong :premises (@p89 @p88) :args (@t307)) % 200.07/200.31 (step @p91 :rule cong :premises (@p90) :args (@t308)) % 200.07/200.31 (step @p92 :rule cong :premises (@p91) :args (@t309)) % 200.07/200.31 (step @p93 :rule cong :premises (@p92) :args (@t310)) % 200.07/200.31 (step @p94 :rule cong :premises (@p93) :args (@t311)) % 200.07/200.31 (step @p95 :rule refl :args (@t303)) % 200.07/200.31 (step @p96 :rule cong :premises (@p95 @p94) :args ((=> @t303 @t311))) % 200.07/200.31 (assume-push @p1537 @t303) % 200.07/200.31 (step @p98 :rule instantiate :premises (@p83) :args ((@list @t304 true @t238))) % 200.07/200.31 (step-pop @p1538 :rule scope :premises (@p98)) % 200.07/200.31 (step @p99 :rule process_scope :premises (@p1538) :args (@t311)) % 200.07/200.31 (step @p101 :rule eq_resolve :premises (@p99 @p96)) % 200.07/200.31 (step @p102 :rule implies_elim :premises (@p101)) % 200.07/200.31 (step @p103 :rule chain_m_resolution :premises (@p102 @p83) :args (@t314 @t244 (@list @t303))) % 200.07/200.31 (step @p104 :rule refl :args (@t317)) % 200.07/200.31 (step @p105 :rule bool-double-not-elim :args (@t313)) % 200.07/200.31 (step @p106 :rule nary_cong :premises (@p105 @p104) :args ((or (not @t314) @t317))) % 200.07/200.31 (step @p107 :rule eq-symm :args (@t316 @t312)) % 200.07/200.31 (step @p108 :rule cong :premises (@p107) :args (@t318)) % 200.07/200.31 (step @p109 :rule bool-double-not-elim :args (@t318)) % 200.07/200.31 (step @p110 :rule trans :premises (@p109 @p108)) % 200.07/200.31 (step @p111 :rule refl :args (@t314)) % 200.07/200.31 (step @p112 :rule cong :premises (@p111 @p110) :args ((=> @t314 @t319))) % 200.07/200.31 (assume-push @p1539 @t314) % 200.07/200.31 (step @p114 :rule skolemize :premises (@p103)) % 200.07/200.31 (step-pop @p1540 :rule scope :premises (@p114)) % 200.07/200.31 (step @p115 :rule process_scope :premises (@p1540) :args (@t319)) % 200.07/200.31 (step @p117 :rule eq_resolve :premises (@p115 @p112)) % 200.07/200.31 (step @p118 :rule implies_elim :premises (@p117)) % 200.07/200.31 (step @p119 :rule eq_resolve :premises (@p118 @p106)) % 200.07/200.31 (step @p120 :rule chain_m_resolution :premises (@p119 @p103) :args (@t317 @t251 (@list @t313))) % 200.07/200.31 (step @p121 :rule eq-symm :args (@t322 @t323)) % 200.07/200.31 (step @p122 :rule refl :args (@t323)) % 200.07/200.31 (step @p123 :rule refl :args (@t320)) % 200.07/200.31 (step @p124 :rule eq-symm :args (@t282 @t238)) % 200.07/200.31 (step @p125 :rule nary_cong :premises (@p124 @p123) :args (@t324)) % 200.07/200.31 (step @p126 :rule cong :premises (@p125 @p122) :args (@t325)) % 200.07/200.31 (step @p127 :rule trans :premises (@p126 @p121)) % 200.07/200.31 (step @p128 :rule cong :premises (@p104 @p127) :args ((=> @t317 @t325))) % 200.07/200.31 (assume-push @p1541 @t317) % 200.07/200.31 (step @p130 :rule instantiate :premises (@p120) :args (@t286)) % 200.07/200.31 (step-pop @p1542 :rule scope :premises (@p130)) % 200.07/200.31 (step @p131 :rule process_scope :premises (@p1542) :args (@t325)) % 200.07/200.31 (step @p133 :rule eq_resolve :premises (@p131 @p128)) % 200.07/200.31 (step @p134 :rule implies_elim :premises (@p133)) % 200.07/200.31 (step @p135 :rule chain_m_resolution :premises (@p134 @p120) :args (@t326 @t244 (@list @t317))) % 200.07/200.31 (step @p136 :rule instantiate :premises (@p120) :args ((@list @t219))) % 200.07/200.31 ; trust TRUST PREPROCESS_HO_ELIM % 200.07/200.31 (step @p137 :rule trust :premises () :args ((= (= @t93 @t164) @t328))) % 200.07/200.31 (step @p138 :rule eq-symm :args (@t164 @t93)) % 200.07/200.31 (step @p139 :rule trans :premises (@p138 @p137)) % 200.07/200.31 (step @p140 :rule and_elim :premises (@p1) :args (14)) % 200.07/200.31 (step @p141 :rule eq_resolve :premises (@p140 @p139)) % 200.07/200.31 (step @p142 :rule eq-symm :args (@t331 @t213)) % 200.07/200.31 (step @p143 :rule cong :premises (@p142) :args (@t332)) % 200.07/200.31 (step @p144 :rule cong :premises (@p143) :args (@t333)) % 200.07/200.31 (step @p145 :rule cong :premises (@p144) :args (@t334)) % 200.07/200.31 (step @p146 :rule cong :premises (@p29 @p145) :args ((=> @t214 @t334))) % 200.07/200.31 (assume-push @p1543 @t214) % 200.07/200.31 (step @p148 :rule instantiate :premises (@p24) :args ((@list @t331))) % 200.07/200.31 (step-pop @p1544 :rule scope :premises (@p148)) % 200.07/200.31 (step @p149 :rule process_scope :premises (@p1544) :args (@t334)) % 200.07/200.31 (step @p151 :rule eq_resolve :premises (@p149 @p146)) % 200.07/200.31 (step @p152 :rule implies_elim :premises (@p151)) % 200.07/200.31 (step @p153 :rule chain_m_resolution :premises (@p152 @p24) :args (@t336 @t244 @t245)) % 200.07/200.31 (step @p154 :rule refl :args (@t339)) % 200.07/200.31 (step @p155 :rule bool-double-not-elim :args (@t335)) % 200.07/200.31 (step @p156 :rule nary_cong :premises (@p155 @p154) :args ((or (not @t336) @t339))) % 200.07/200.31 (step @p157 :rule eq-symm :args (@t338 @t331)) % 200.07/200.31 (step @p158 :rule bool-double-not-elim :args (@t340)) % 200.07/200.31 (step @p159 :rule trans :premises (@p158 @p157)) % 200.07/200.31 (step @p160 :rule refl :args (@t336)) % 200.07/200.31 (step @p161 :rule cong :premises (@p160 @p159) :args ((=> @t336 @t341))) % 200.07/200.31 (assume-push @p1545 @t336) % 200.07/200.31 (step @p163 :rule skolemize :premises (@p153)) % 200.07/200.31 (step-pop @p1546 :rule scope :premises (@p163)) % 200.07/200.31 (step @p164 :rule process_scope :premises (@p1546) :args (@t341)) % 200.07/200.31 (step @p166 :rule eq_resolve :premises (@p164 @p161)) % 200.07/200.31 (step @p167 :rule implies_elim :premises (@p166)) % 200.07/200.31 (step @p168 :rule eq_resolve :premises (@p167 @p156)) % 200.07/200.31 (step @p169 :rule chain_m_resolution :premises (@p168 @p153) :args (@t339 @t251 (@list @t335))) % 200.07/200.31 ; trust TRUST PREPROCESS_HO_ELIM % 200.07/200.31 (step @p170 :rule trust :premises () :args ((= (forall @t178 (not (forall @t172 (not (= @t175 @t344))))) @t343))) % 200.07/200.31 (step @p171 :rule refl :args (@t344)) % 200.07/200.31 (step @p172 :rule refl :args (@t174)) % 200.07/200.31 (step @p173 :rule cong :premises (@p172 @p171) :args ((= @t174 @t344))) % 200.07/200.31 (step @p174 :rule symm :premises (@p173)) % 200.07/200.31 (step @p175 :rule eq_resolve :premises (@p172 @p174)) % 200.07/200.31 (step @p176 :rule refl :args (@t175)) % 200.07/200.31 (step @p177 :rule cong :premises (@p176 @p175) :args (@t176)) % 200.07/200.31 (step @p178 :rule cong :premises (@p177) :args (@t345)) % 200.07/200.31 (step @p179 :rule cong :premises (@p178) :args (@t346)) % 200.07/200.31 (step @p180 :rule cong :premises (@p179) :args (@t347)) % 200.07/200.31 (step @p181 :rule exists-elim :args ((= @t177 @t347))) % 200.07/200.31 (step @p182 :rule trans :premises (@p181 @p180)) % 200.07/200.31 (step @p183 :rule cong :premises (@p182) :args (@t179)) % 200.07/200.31 (step @p184 :rule trans :premises (@p183 @p170)) % 200.07/200.31 (step @p185 :rule and_elim :premises (@p1) :args (3)) % 200.07/200.31 (step @p186 :rule eq_resolve :premises (@p185 @p184)) % 200.07/200.31 (step @p187 :rule eq-symm :args (@t329 @t342)) % 200.07/200.31 (step @p188 :rule cong :premises (@p187) :args (@t348)) % 200.07/200.31 (step @p189 :rule cong :premises (@p188) :args (@t349)) % 200.07/200.31 (step @p190 :rule cong :premises (@p189) :args (@t350)) % 200.07/200.31 (step @p191 :rule refl :args (@t343)) % 200.07/200.31 (step @p192 :rule cong :premises (@p191 @p190) :args ((=> @t343 @t350))) % 200.07/200.31 (assume-push @p1547 @t343) % 200.07/200.31 (step @p194 :rule instantiate :premises (@p186) :args ((@list @t329))) % 200.07/200.31 (step-pop @p1548 :rule scope :premises (@p194)) % 200.07/200.31 (step @p195 :rule process_scope :premises (@p1548) :args (@t350)) % 200.07/200.31 (step @p197 :rule eq_resolve :premises (@p195 @p192)) % 200.07/200.31 (step @p198 :rule implies_elim :premises (@p197)) % 200.07/200.31 (step @p199 :rule chain_m_resolution :premises (@p198 @p186) :args (@t352 @t244 (@list @t343))) % 200.07/200.31 (step @p200 :rule refl :args (@t355)) % 200.07/200.31 (step @p201 :rule bool-double-not-elim :args (@t351)) % 200.07/200.31 (step @p202 :rule nary_cong :premises (@p201 @p200) :args ((or (not @t352) @t355))) % 200.07/200.31 (step @p203 :rule eq-symm :args (@t354 @t329)) % 200.07/200.31 (step @p204 :rule bool-double-not-elim :args (@t356)) % 200.07/200.31 (step @p205 :rule trans :premises (@p204 @p203)) % 200.07/200.31 (step @p206 :rule refl :args (@t352)) % 200.07/200.31 (step @p207 :rule cong :premises (@p206 @p205) :args ((=> @t352 @t357))) % 200.07/200.31 (assume-push @p1549 @t352) % 200.07/200.31 (step @p209 :rule skolemize :premises (@p199)) % 200.07/200.31 (step-pop @p1550 :rule scope :premises (@p209)) % 200.07/200.31 (step @p210 :rule process_scope :premises (@p1550) :args (@t357)) % 200.07/200.31 (step @p212 :rule eq_resolve :premises (@p210 @p207)) % 200.07/200.31 (step @p213 :rule implies_elim :premises (@p212)) % 200.07/200.31 (step @p214 :rule eq_resolve :premises (@p213 @p202)) % 200.07/200.31 (step @p215 :rule chain_m_resolution :premises (@p214 @p199) :args (@t355 @t251 (@list @t351))) % 200.07/200.31 (step @p216 :rule eq-symm :args (@t171 tptp.d_id)) % 200.07/200.31 (step @p217 :rule cong :premises (@p216) :args (@t173)) % 200.07/200.31 (step @p218 :rule and_elim :premises (@p1) :args (4)) % 200.07/200.31 (step @p219 :rule eq_resolve :premises (@p218 @p217)) % 200.07/200.31 (step @p220 :rule instantiate :premises (@p219) :args ((@list @t353))) % 200.07/200.31 (step @p221 :rule instantiate :premises (@p7) :args ((@list @t337))) % 200.07/200.31 (step @p222 :rule eq-symm :args (@t236 @t213)) % 200.07/200.31 (step @p223 :rule cong :premises (@p222) :args (@t358)) % 200.07/200.31 (step @p224 :rule cong :premises (@p223) :args (@t359)) % 200.07/200.31 (step @p225 :rule cong :premises (@p224) :args (@t360)) % 200.07/200.31 (step @p226 :rule cong :premises (@p29 @p225) :args ((=> @t214 @t360))) % 200.07/200.31 (assume-push @p1551 @t214) % 200.07/200.31 (step @p228 :rule instantiate :premises (@p24) :args ((@list @t236))) % 200.07/200.31 (step-pop @p1552 :rule scope :premises (@p228)) % 200.07/200.31 (step @p229 :rule process_scope :premises (@p1552) :args (@t360)) % 200.07/200.31 (step @p231 :rule eq_resolve :premises (@p229 @p226)) % 200.07/200.31 (step @p232 :rule implies_elim :premises (@p231)) % 200.07/200.31 (step @p233 :rule chain_m_resolution :premises (@p232 @p24) :args (@t362 @t244 @t245)) % 200.07/200.31 (step @p234 :rule refl :args (@t365)) % 200.07/200.31 (step @p235 :rule bool-double-not-elim :args (@t361)) % 200.07/200.31 (step @p236 :rule nary_cong :premises (@p235 @p234) :args ((or (not @t362) @t365))) % 200.07/200.31 (step @p237 :rule eq-symm :args (@t364 @t236)) % 200.07/200.31 (step @p238 :rule bool-double-not-elim :args (@t366)) % 200.07/200.31 (step @p239 :rule trans :premises (@p238 @p237)) % 200.07/200.31 (step @p240 :rule refl :args (@t362)) % 200.07/200.31 (step @p241 :rule cong :premises (@p240 @p239) :args ((=> @t362 @t367))) % 200.07/200.31 (assume-push @p1553 @t362) % 200.07/200.31 (step @p243 :rule skolemize :premises (@p233)) % 200.07/200.31 (step-pop @p1554 :rule scope :premises (@p243)) % 200.07/200.31 (step @p244 :rule process_scope :premises (@p1554) :args (@t367)) % 200.07/200.31 (step @p246 :rule eq_resolve :premises (@p244 @p241)) % 200.07/200.31 (step @p247 :rule implies_elim :premises (@p246)) % 200.07/200.31 (step @p248 :rule eq_resolve :premises (@p247 @p236)) % 200.07/200.31 (step @p249 :rule chain_m_resolution :premises (@p248 @p233) :args (@t365 @t251 (@list @t361))) % 200.07/200.31 (step @p250 :rule instantiate :premises (@p7) :args ((@list @t363))) % 200.07/200.31 (step @p251 :rule refl :args (@t369)) % 200.07/200.31 (step @p252 :rule refl :args (@t370)) % 200.07/200.31 (step @p253 :rule refl :args (@t372)) % 200.07/200.31 (step @p254 :rule refl :args (@t271)) % 200.07/200.31 (step @p255 :rule eq-symm :args (@t272 @t273)) % 200.07/200.31 (step @p256 :rule cong :premises (@p255) :args (@t373)) % 200.07/200.31 (step @p257 :rule cong :premises (@p256) :args (@t374)) % 200.07/200.31 (step @p258 :rule nary_cong :premises (@p257 @p254 @p253) :args (@t375)) % 200.07/200.31 (step @p259 :rule cong :premises (@p258) :args (@t376)) % 200.07/200.31 (step @p260 :rule cong :premises (@p259) :args (@t377)) % 200.07/200.31 (step @p261 :rule nary_cong :premises (@p260 @p252 @p251) :args (@t378)) % 200.07/200.31 (step @p262 :rule cong :premises (@p261) :args (@t380)) % 200.07/200.31 (step @p263 :rule refl :args (@t264)) % 200.07/200.31 (step @p264 :rule refl :args (@t267)) % 200.07/200.31 (step @p265 :rule nary_cong :premises (@p257 @p254) :args (@t381)) % 200.07/200.31 (step @p266 :rule cong :premises (@p265) :args (@t382)) % 200.07/200.31 (step @p267 :rule cong :premises (@p266) :args (@t383)) % 200.07/200.31 (step @p268 :rule refl :args (@t276)) % 200.07/200.31 (step @p269 :rule nary_cong :premises (@p268 @p267) :args (@t384)) % 200.07/200.31 (step @p270 :rule nary_cong :premises (@p269 @p264 @p263) :args (@t385)) % 200.07/200.31 (step @p271 :rule cong :premises (@p270) :args (@t386)) % 200.07/200.31 (step @p272 :rule cong :premises (@p271 @p262) :args ((= @t386 @t380))) % 200.07/200.31 (step @p273 :rule eq-symm :args (@t380 @t386)) % 200.07/200.31 (step @p274 :rule trans :premises (@p273 @p272)) % 200.07/200.31 (step @p275 :rule cong :premises (@p274) :args (@t387)) % 200.07/200.31 ; trust TRUST PREPROCESS_HO_ELIM % 200.07/200.31 (step @p276 :rule trust :premises () :args ((= (not (= @t408 (forall @t405 (or (and (not (_ @t2 @t388 @t389 @t388)) @t404) @t393 (_ @t2 @t388 (tptp.lam (tptp.sub @t256 @t390)) @t388))))) @t387))) % 200.07/200.31 (step @p277 :rule refl :args (@t388)) % 200.07/200.31 (step @p278 :rule refl :args (@t92)) % 200.07/200.31 (step @p279 :rule cong :premises (@p278 @p277) :args ((= @t92 @t388))) % 200.07/200.31 (step @p280 :rule symm :premises (@p279)) % 200.07/200.31 (step @p281 :rule eq_resolve :premises (@p278 @p280)) % 200.07/200.31 (step @p282 :rule refl :args (@t389)) % 200.07/200.31 (step @p283 :rule refl :args (@t93)) % 200.07/200.31 (step @p284 :rule cong :premises (@p283 @p282) :args ((= @t93 @t389))) % 200.07/200.31 (step @p285 :rule symm 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200.07/200.31 (step @p340 :rule and_elim :premises (@p1) :args (10)) % 200.07/200.31 (step @p341 :rule and_elim :premises (@p1) :args (11)) % 200.07/200.31 (step @p342 :rule and_elim :premises (@p1) :args (6)) % 200.07/200.31 (step @p343 :rule cong :premises (@p342 @p341) :args (@t444)) % 200.07/200.31 (step @p344 :rule refl :args (@t256)) % 200.07/200.31 (step @p345 :rule cong :premises (@p344 @p343) :args (@t445)) % 200.07/200.31 (step @p346 :rule cong :premises (@p345) :args (@t446)) % 200.07/200.31 (step @p347 :rule cong :premises (@p340 @p346 @p340) :args (@t447)) % 200.07/200.31 (step @p348 :rule refl :args (@t34)) % 200.07/200.31 (step @p349 :rule cong :premises (@p348 @p340) :args (@t448)) % 200.07/200.31 (step @p350 :rule cong :premises (@p344 @p349) :args (@t449)) % 200.07/200.31 (step @p351 :rule cong :premises (@p340 @p350 @p340) :args (@t450)) % 200.07/200.31 (step @p352 :rule cong :premises (@p340 @p348 @p340) :args (@t451)) % 200.07/200.31 (step @p353 :rule cong 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200.07/200.31 (step @p367 :rule cong :premises (@p366) :args (@t462)) % 200.07/200.31 (step @p368 :rule cong :premises (@p367) :args (@t463)) % 200.07/200.31 (step @p369 :rule nary_cong :premises (@p329 @p368 @p360) :args (@t464)) % 200.07/200.31 (step @p370 :rule cong :premises (@p369) :args (@t465)) % 200.07/200.31 (step @p371 :rule cong :premises (@p370) :args (@t466)) % 200.07/200.31 (step @p372 :rule nary_cong :premises (@p371 @p356 @p347) :args (@t467)) % 200.07/200.31 (step @p373 :rule cong :premises (@p372) :args (@t468)) % 200.07/200.31 (step @p374 :rule refl :args (@t112)) % 200.07/200.31 (step @p375 :rule cong :premises (@p374 @p287) :args (@t469)) % 200.07/200.31 (step @p376 :rule cong :premises (@p375) :args (@t470)) % 200.07/200.31 (step @p377 :rule cong :premises (@p281 @p376 @p281) :args (@t471)) % 200.07/200.31 (step @p378 :rule refl :args (@t406)) % 200.07/200.31 (step @p379 :rule refl :args (@t407)) % 200.07/200.31 (step @p380 :rule nary_cong :premises (@p379 @p378 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(step @p394 :rule cong :premises (@p393) :args ((forall @t31 @t481))) % 200.07/200.31 (step @p395 :rule refl :args (@t480)) % 200.07/200.31 (step @p396 :rule nary_cong :premises (@p329 @p328 @p395) :args (@t482)) % 200.07/200.31 (step @p397 :rule cong :premises (@p396) :args (@t483)) % 200.07/200.31 (step @p398 :rule trans :premises (@p397 @p394)) % 200.07/200.31 (step @p399 :rule cong :premises (@p398) :args (@t484)) % 200.07/200.31 (step @p400 :rule nary_cong :premises (@p399 @p387 @p382) :args (@t485)) % 200.07/200.31 (step @p401 :rule cong :premises (@p400) :args (@t486)) % 200.07/200.31 (step @p402 :rule trans :premises (@p401 @p381)) % 200.07/200.31 (step @p403 :rule refl :args (tptp.hoasinduction_lem3aa)) % 200.07/200.31 (step @p404 :rule cong :premises (@p403 @p402) :args ((= tptp.hoasinduction_lem3aa @t486))) % 200.07/200.31 (step @p405 :rule refl :args (@t112)) % 200.07/200.31 (step @p406 :rule cong :premises (@p405 @p343) :args (@t487)) % 200.07/200.31 (step @p407 :rule cong 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200.07/200.31 (step @p434 :rule trans :premises (@p433 @p424)) % 200.07/200.31 (step @p435 :rule refl :args (@t3)) % 200.07/200.31 (step @p436 :rule ho_cong :premises (@p435 @p432)) % 200.07/200.31 (step @p437 :rule ho_cong :premises (@p436 @p425)) % 200.07/200.31 (step @p438 :rule cong :premises (@p437 @p434) :args ((= (_ (_ @t3 @t488) tptp.id) @t489))) % 200.07/200.31 (step @p439 :rule symm :premises (@p438)) % 200.07/200.31 (step @p440 :rule refl :args (@t116)) % 200.07/200.31 (step @p441 :rule eq_resolve :premises (@p440 @p439)) % 200.07/200.31 (step @p442 :rule refl :args (tptp.lam)) % 200.07/200.31 (step @p443 :rule ho_cong :premises (@p442 @p430)) % 200.07/200.31 (step @p444 :rule cong :premises (@p443 @p432) :args ((= (_ tptp.lam @t487) @t488))) % 200.07/200.31 (step @p445 :rule symm :premises (@p444)) % 200.07/200.31 (step @p446 :rule refl :args (@t115)) % 200.07/200.31 (step @p447 :rule eq_resolve :premises (@p446 @p445)) % 200.07/200.31 (step @p448 :rule refl :args (@t113)) % 200.07/200.31 (step @p449 :rule ho_cong :premises (@p448 @p428)) % 200.07/200.31 (step @p450 :rule cong :premises (@p449 @p430) :args ((= (_ @t113 @t444) @t487))) % 200.07/200.31 (step @p451 :rule symm :premises (@p450)) % 200.07/200.31 (step @p452 :rule refl :args (@t114)) % 200.07/200.31 (step @p453 :rule eq_resolve :premises (@p452 @p451)) % 200.07/200.31 (step @p454 :rule refl :args (@t103)) % 200.07/200.31 (step @p455 :rule cong :premises (@p454 @p428) :args ((= @t103 @t444))) % 200.07/200.31 (step @p456 :rule symm :premises (@p455)) % 200.07/200.31 (step @p457 :rule eq_resolve :premises (@p454 @p456)) % 200.07/200.31 (step @p458 :rule ho_cong :premises (@p448 @p457)) % 200.07/200.31 (step @p459 :rule trans :premises (@p458 @p453)) % 200.07/200.31 (step @p460 :rule ho_cong :premises (@p442 @p459)) % 200.07/200.31 (step @p461 :rule trans :premises (@p460 @p447)) % 200.07/200.31 (step @p462 :rule ho_cong :premises (@p435 @p461)) % 200.07/200.31 (step @p463 :rule ho_cong :premises 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@p478 :rule ho_cong :premises (@p477 @p425)) % 200.07/200.31 (step @p479 :rule cong :premises (@p478 @p476) :args ((= (_ (_ @t3 @t490) tptp.id) @t491))) % 200.07/200.31 (step @p480 :rule symm :premises (@p479)) % 200.07/200.31 (step @p481 :rule refl :args (@t118)) % 200.07/200.31 (step @p482 :rule eq_resolve :premises (@p481 @p480)) % 200.07/200.31 (step @p483 :rule ho_cong :premises (@p448 @p472)) % 200.07/200.31 (step @p484 :rule cong :premises (@p483 @p474) :args ((= (_ @t113 @t448) @t490))) % 200.07/200.31 (step @p485 :rule symm :premises (@p484)) % 200.07/200.31 (step @p486 :rule refl :args (@t117)) % 200.07/200.31 (step @p487 :rule eq_resolve :premises (@p486 @p485)) % 200.07/200.31 (step @p488 :rule refl :args (@t51)) % 200.07/200.31 (step @p489 :rule cong :premises (@p488 @p472) :args ((= @t51 @t448))) % 200.07/200.31 (step @p490 :rule symm :premises (@p489)) % 200.07/200.31 (step @p491 :rule eq_resolve :premises (@p488 @p490)) % 200.07/200.31 (step @p492 :rule ho_cong 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@p736 :rule ho_cong :premises (@p435 @p735)) % 200.07/200.31 (step @p737 :rule ho_cong :premises (@p736 @p425)) % 200.07/200.31 (step @p738 :rule trans :premises (@p737 @p726)) % 200.07/200.31 (step @p739 :rule nary_cong :premises (@p392 @p533 @p738) :args (@t527)) % 200.07/200.31 (step @p740 :rule cong :premises (@p739) :args ((forall @t31 @t527))) % 200.07/200.31 (step @p741 :rule trans :premises (@p740 @p713)) % 200.07/200.31 (step @p742 :rule aci_norm :args ((= (or @t401 (or @t463 @t202)) @t527))) % 200.07/200.31 (step @p743 :rule bool-impl-elim :args (@t462 @t202)) % 200.07/200.31 (step @p744 :rule nary_cong :premises (@p392 @p743) :args ((or @t401 @t528))) % 200.07/200.31 (step @p745 :rule trans :premises (@p744 @p742)) % 200.07/200.31 (step @p746 :rule bool-impl-elim :args (@t400 @t528)) % 200.07/200.31 (step @p747 :rule trans :premises (@p746 @p745)) % 200.07/200.31 (step @p748 :rule cong :premises (@p747) :args ((forall @t31 (=> @t400 @t528)))) % 200.07/200.31 (step @p749 :rule trans :premises (@p748 @p741)) % 200.07/200.31 (step @p750 :rule refl :args (@t202)) % 200.07/200.31 (step @p751 :rule bool-impl-elim :args (@t11 @t10)) % 200.07/200.31 (step @p752 :rule cong :premises (@p751) :args (@t203)) % 200.07/200.31 (step @p753 :rule trans :premises (@p752 @p561)) % 200.07/200.31 (step @p754 :rule cong :premises (@p753 @p750) :args (@t204)) % 200.07/200.31 (step @p755 :rule cong :premises (@p606 @p754) :args (@t205)) % 200.07/200.31 (step @p756 :rule cong :premises (@p755) :args (@t206)) % 200.07/200.31 (step @p757 :rule trans :premises (@p756 @p749)) % 200.07/200.31 (step @p758 :rule cong :premises (@p757 @p706) :args (@t207)) % 200.07/200.31 (step @p759 :rule cong :premises (@p758) :args (@t208)) % 200.07/200.31 (step @p760 :rule trans :premises (@p759 @p636)) % 200.07/200.31 (step @p761 :rule cong :premises (@p403 @p760) :args (@t209)) % 200.07/200.31 (step @p762 :rule cong :premises (@p761) :args (@t210)) % 200.07/200.31 (step @p763 :rule trans :premises (@p762 @p621 @p276 @p275)) % 200.07/200.31 (step @p764 :rule eq_resolve :premises (@p2 @p763)) % 200.07/200.31 (step @p765 :rule not_equiv_elim2 :premises (@p764)) % 200.07/200.31 (assume-push @p1555 @t278) % 200.07/200.31 (step @p767 :rule instantiate :premises (@p1555) :args ((@list @t529 @t236))) % 200.07/200.31 (step-pop @p1556 :rule scope :premises (@p767)) % 200.07/200.31 (step @p768 :rule process_scope :premises (@p1556) :args (@t542)) % 200.07/200.31 (step @p770 :rule implies_elim :premises (@p768)) % 200.07/200.31 (assume-push @p1557 @t278) % 200.07/200.31 (step @p772 :rule instantiate :premises (@p1557) :args ((@list @t545 @t544))) % 200.07/200.31 (step-pop @p1558 :rule scope :premises (@p772)) % 200.07/200.31 (step @p773 :rule process_scope :premises (@p1558) :args (@t556)) % 200.07/200.31 (step @p775 :rule implies_elim :premises (@p773)) % 200.07/200.31 (step @p776 :rule refl :args (@t560)) % 200.07/200.31 (step @p777 :rule bool-double-not-elim :args (@t543)) % 200.07/200.31 (step @p778 :rule nary_cong :premises (@p777 @p776) :args ((or (not @t561) @t560))) % 200.07/200.31 (assume-push @p1559 @t561) % 200.07/200.31 (step @p780 :rule skolemize :premises (@p1559)) % 200.07/200.31 (step-pop @p1560 :rule scope :premises (@p780)) % 200.07/200.31 (step @p781 :rule process_scope :premises (@p1560) :args (@t560)) % 200.07/200.31 (step @p783 :rule implies_elim :premises (@p781)) % 200.07/200.31 (step @p784 :rule eq_resolve :premises (@p783 @p778)) % 200.07/200.31 ; trust TRUST PREPROCESS_HO_ELIM % 200.07/200.31 (step @p785 :rule trust :premises () :args ((= @t94 @t540))) % 200.07/200.31 (step @p786 :rule and_elim :premises (@p1) :args (112)) % 200.07/200.31 (step @p787 :rule eq_resolve :premises (@p786 @p785)) % 200.07/200.31 (step @p788 :rule false_intro :premises (@p787)) % 200.07/200.31 (step @p789 :rule refl :args (@t222)) % 200.07/200.31 ; trust TRUST PREPROCESS_HO_ELIM % 200.07/200.31 (step @p790 :rule trust :premises () :args ((= (= @t93 @t168) @t562))) % 200.07/200.31 (step @p791 :rule eq-symm :args (@t168 @t93)) % 200.07/200.31 (step @p792 :rule trans :premises (@p791 @p790)) % 200.07/200.31 (step @p793 :rule and_elim :premises (@p1) :args (8)) % 200.07/200.31 (step @p794 :rule eq_resolve :premises (@p793 @p792)) % 200.07/200.31 (step @p795 :rule symm :premises (@p794)) % 200.07/200.31 (step @p796 :rule symm :premises (@p141)) % 200.07/200.31 (step @p797 :rule refl :args (@t258)) % 200.07/200.31 (step @p798 :rule cong :premises (@p797 @p796) :args (@t563)) % 200.07/200.31 ; trust TRUST PREPROCESS_HO_ELIM % 200.07/200.31 (step @p799 :rule trust :premises () :args ((= (= @t93 @t167) @t566))) % 200.07/200.31 (step @p800 :rule eq-symm :args (@t167 @t93)) % 200.07/200.31 (step @p801 :rule trans :premises (@p800 @p799)) % 200.07/200.31 (step @p802 :rule and_elim :premises (@p1) :args (9)) % 200.07/200.31 (step @p803 :rule eq_resolve :premises (@p802 @p801)) % 200.07/200.31 (step @p804 :rule symm :premises (@p803)) % 200.07/200.31 ; trust TRUST PREPROCESS_HO_ELIM % 200.07/200.31 (step @p805 :rule trust :premises () :args ((= (= @t92 @t166) @t567))) % 200.07/200.31 (step @p806 :rule eq-symm :args (@t166 @t92)) % 200.07/200.31 (step @p807 :rule trans :premises (@p806 @p805)) % 200.07/200.31 (step @p808 :rule and_elim :premises (@p1) :args (12)) % 200.07/200.31 (step @p809 :rule eq_resolve :premises (@p808 @p807)) % 200.07/200.31 (step @p810 :rule symm :premises (@p809)) % 200.07/200.31 (step @p811 :rule refl :args (@t564)) % 200.07/200.31 (step @p812 :rule cong :premises (@p811 @p810) :args (@t568)) % 200.07/200.31 (step @p813 :rule trans :premises (@p812 @p804 @p141)) % 200.07/200.31 (step @p814 :rule cong :premises (@p797 @p813) :args (@t569)) % 200.07/200.31 (step @p815 :rule trans :premises (@p814 @p798 @p795)) % 200.07/200.31 (step @p816 :rule refl :args (@t532)) % 200.07/200.31 (step @p817 :rule cong :premises (@p816 @p815) :args (@t570)) % 200.07/200.31 (step @p818 :rule cong :premises (@p817 @p789) :args ((_ @t263 @t570 @t222))) % 200.07/200.31 (step @p819 :rule symm :premises (@p814)) % 200.07/200.31 (step @p820 :rule symm :premises (@p250)) % 200.07/200.31 (step @p821 :rule refl :args (@t211)) % 200.07/200.31 (step @p822 :rule cong :premises (@p821 @p820) :args (@t364)) % 200.07/200.31 (step @p823 :rule trans :premises (@p249 @p822)) % 200.07/200.31 (step @p824 :rule refl :args (@t226)) % 200.07/200.31 (step @p825 :rule cong :premises (@p824 @p823) :args (@t237)) % 200.07/200.31 (step @p826 :rule cong :premises (@p825 @p809) :args ((_ @t228 @t237 @t222))) % 200.07/200.31 (step @p827 :rule refl :args (@t237)) % 200.07/200.31 (step @p828 :rule cong :premises (@p827 @p810) :args (@t530)) % 200.07/200.31 (step @p829 :rule trans :premises (@p828 @p826 @p812 @p804 @p141)) % 200.07/200.31 (step @p830 :rule cong :premises (@p797 @p829) :args (@t531)) % 200.07/200.31 (step @p831 :rule trans :premises (@p830 @p819)) % 200.07/200.31 (step @p832 :rule cong :premises (@p816 @p831) :args (@t533)) % 200.07/200.31 (step @p833 :rule cong :premises (@p832 @p789) :args (@t534)) % 200.07/200.31 (step @p834 :rule trans :premises (@p833 @p818 @p788)) % 200.07/200.31 (step @p835 :rule false_elim :premises (@p834)) % 200.07/200.31 (step @p836 :rule symm :premises (@p798)) % 200.07/200.31 (step @p837 :rule instantiate :premises (@p7) :args ((@list @t573))) % 200.07/200.31 (step @p838 :rule symm :premises (@p837)) % 200.07/200.31 (step @p839 :rule cong :premises (@p821 @p838) :args (@t574)) % 200.07/200.31 (step @p840 :rule eq-symm :args (@t571 @t213)) % 200.07/200.31 (step @p841 :rule cong :premises (@p840) :args (@t575)) % 200.07/200.31 (step @p842 :rule cong :premises (@p841) :args (@t576)) % 200.07/200.31 (step @p843 :rule cong :premises (@p842) :args (@t577)) % 200.07/200.31 (step @p844 :rule cong :premises (@p29 @p843) :args ((=> @t214 @t577))) % 200.07/200.31 (assume-push @p1561 @t214) % 200.07/200.31 (step @p846 :rule instantiate :premises (@p24) :args ((@list @t571))) % 200.07/200.31 (step-pop @p1562 :rule scope :premises (@p846)) % 200.07/200.31 (step @p847 :rule process_scope :premises (@p1562) :args (@t577)) % 200.07/200.31 (step @p849 :rule eq_resolve :premises (@p847 @p844)) % 200.07/200.31 (step @p850 :rule implies_elim :premises (@p849)) % 200.07/200.31 (step @p851 :rule chain_m_resolution :premises (@p850 @p24) :args (@t578 @t244 @t245)) % 200.07/200.31 (step @p852 :rule refl :args (@t579)) % 200.07/200.31 (step @p853 :rule bool-double-not-elim :args (@t572)) % 200.07/200.31 (step @p854 :rule nary_cong :premises (@p853 @p852) :args ((or (not @t578) @t579))) % 200.07/200.31 (step @p855 :rule eq-symm :args (@t574 @t571)) % 200.07/200.31 (step @p856 :rule bool-double-not-elim :args (@t580)) % 200.07/200.31 (step @p857 :rule trans :premises (@p856 @p855)) % 200.07/200.31 (step @p858 :rule refl :args (@t578)) % 200.07/200.31 (step @p859 :rule cong :premises (@p858 @p857) :args ((=> @t578 @t581))) % 200.07/200.31 (assume-push @p1563 @t578) % 200.07/200.31 (step @p861 :rule skolemize :premises (@p851)) % 200.07/200.31 (step-pop @p1564 :rule scope :premises (@p861)) % 200.07/200.31 (step @p862 :rule process_scope :premises (@p1564) :args (@t581)) % 200.07/200.31 (step @p864 :rule eq_resolve :premises (@p862 @p859)) % 200.07/200.31 (step @p865 :rule implies_elim :premises (@p864)) % 200.07/200.31 (step @p866 :rule eq_resolve :premises (@p865 @p854)) % 200.07/200.31 (step @p867 :rule chain_m_resolution :premises (@p866 @p851) :args (@t579 @t251 (@list @t572))) % 200.07/200.31 (step @p868 :rule trans :premises (@p867 @p839 @p794 @p836 @p819)) % 200.07/200.31 (step @p869 :rule cong :premises (@p816 @p868) :args (@t582)) % 200.07/200.31 (step @p870 :rule cong :premises (@p869 @p789) :args (@t583)) % 200.07/200.31 (step @p871 :rule trans :premises (@p870 @p818 @p788)) % 200.07/200.31 (step @p872 :rule false_elim :premises (@p871)) % 200.07/200.31 (step @p873 :rule bool-double-not-elim :args (@t583)) % 200.07/200.31 (step @p874 :rule refl :args (@t585)) % 200.07/200.31 (step @p875 :rule nary_cong :premises (@p874 @p873) :args ((or @t585 (not @t584)))) % 200.07/200.31 (step @p876 :rule cnf_or_neg :args (@t585 0)) % 200.07/200.31 (step @p877 :rule eq_resolve :premises (@p876 @p875)) % 200.07/200.31 (step @p878 :rule reordering :premises (@p877) :args ((or @t583 @t585))) % 200.07/200.31 (step @p879 :rule chain_m_resolution :premises (@p878 @p872) :args (@t585 @t251 (@list @t583))) % 200.07/200.31 (step @p880 :rule refl :args (@t586)) % 200.07/200.31 (step @p881 :rule bool-double-not-elim :args (@t535)) % 200.07/200.31 (step @p882 :rule nary_cong :premises (@p881 @p880) :args ((or (not @t536) @t586))) % 200.07/200.31 (assume-push @p1565 @t536) % 200.07/200.31 (step @p884 :rule skolemize :premises (@p1565)) % 200.07/200.31 (step-pop @p1566 :rule scope :premises (@p884)) % 200.07/200.31 (step @p885 :rule process_scope :premises (@p1566) :args (@t586)) % 200.07/200.31 (step @p887 :rule implies_elim :premises (@p885)) % 200.07/200.31 (step @p888 :rule eq_resolve :premises (@p887 @p882)) % 200.07/200.31 (step @p889 :rule chain_m_resolution :premises (@p888 @p879) :args (@t535 @t244 (@list @t585))) % 200.07/200.31 (step @p890 :rule cnf_or_pos :args (@t542)) % 200.07/200.31 (step @p891 :rule reordering :premises (@p890) :args ((or @t541 @t536 @t534 (not @t542)))) % 200.07/200.31 (step @p892 :rule bool-double-not-elim :args (@t557)) % 200.07/200.31 (step @p893 :rule refl :args (@t559)) % 200.07/200.31 (step @p894 :rule nary_cong :premises (@p893 @p892) :args ((or @t559 (not @t558)))) % 200.07/200.31 (step @p895 :rule cnf_or_neg :args (@t559 0)) % 200.07/200.31 (step @p896 :rule eq_resolve :premises (@p895 @p894)) % 200.07/200.31 (step @p897 :rule reordering :premises (@p896) :args ((or @t557 @t559))) % 200.07/200.31 (step @p898 :rule bool-double-not-elim :args (@t549)) % 200.07/200.31 (step @p899 :rule nary_cong :premises (@p893 @p898) :args ((or @t559 (not @t550)))) % 200.07/200.31 (step @p900 :rule cnf_or_neg :args (@t559 1)) % 200.07/200.31 (step @p901 :rule eq_resolve :premises (@p900 @p899)) % 200.07/200.31 (step @p902 :rule reordering :premises (@p901) :args ((or @t549 @t559))) % 200.07/200.31 (step @p903 :rule cnf_or_neg :args (@t559 2)) % 200.07/200.31 (step @p904 :rule cnf_and_pos :args (@t541 1)) % 200.07/200.31 (step @p905 :rule reordering :premises (@p904) :args ((or @t539 (not @t541)))) % 200.07/200.31 (assume-push @p1567 @t557) % 200.07/200.31 (step @p907 :rule instantiate :premises (@p1567) :args ((@list @t587))) % 200.07/200.31 (step-pop @p1568 :rule scope :premises (@p907)) % 200.07/200.31 (step @p908 :rule process_scope :premises (@p1568) :args (@t598)) % 200.07/200.31 (step @p910 :rule implies_elim :premises (@p908)) % 200.07/200.31 (step @p911 :rule cnf_or_pos :args (@t556)) % 200.07/200.31 (step @p912 :rule reordering :premises (@p911) :args ((or @t550 @t548 @t555 (not @t556)))) % 200.07/200.31 (step @p913 :rule refl :args (@t600)) % 200.07/200.31 (step @p914 :rule bool-double-not-elim :args (@t538)) % 200.07/200.31 (step @p915 :rule nary_cong :premises (@p914 @p913) :args ((or (not @t539) @t600))) % 200.07/200.31 (assume-push @p1569 @t539) % 200.07/200.31 (step @p917 :rule skolemize :premises (@p1569)) % 200.07/200.31 (step-pop @p1570 :rule scope :premises (@p917)) % 200.07/200.31 (step @p918 :rule process_scope :premises (@p1570) :args (@t600)) % 200.07/200.31 (step @p920 :rule implies_elim :premises (@p918)) % 200.07/200.31 (step @p921 :rule eq_resolve :premises (@p920 @p915)) % 200.07/200.31 (step @p922 :rule cnf_and_pos :args (@t555 0)) % 200.07/200.31 (step @p923 :rule reordering :premises (@p922) :args ((or @t554 (not @t555)))) % 200.07/200.31 (step @p924 :rule bool-double-not-elim :args (@t596)) % 200.07/200.31 (step @p925 :rule refl :args (@t599)) % 200.07/200.31 (step @p926 :rule nary_cong :premises (@p925 @p924) :args ((or @t599 (not @t597)))) % 200.07/200.31 (step @p927 :rule cnf_or_neg :args (@t599 0)) % 200.07/200.31 (step @p928 :rule eq_resolve :premises (@p927 @p926)) % 200.07/200.31 (step @p929 :rule reordering :premises (@p928) :args ((or @t596 @t599))) % 200.07/200.31 ; trust TRUST PREPROCESS_HO_ELIM % 200.07/200.31 (step @p930 :rule trust :premises () :args ((= (= @t92 @t165) @t603))) % 200.07/200.31 (step @p931 :rule eq-symm :args (@t165 @t92)) % 200.07/200.31 (step @p932 :rule trans :premises (@p931 @p930)) % 200.07/200.31 (step @p933 :rule and_elim :premises (@p1) :args (13)) % 200.07/200.31 (step @p934 :rule eq_resolve :premises (@p933 @p932)) % 200.07/200.31 (step @p935 :rule eq-symm :args (@t605 @t213)) % 200.07/200.31 (step @p936 :rule cong :premises (@p935) :args (@t606)) % 200.07/200.31 (step @p937 :rule cong :premises (@p936) :args (@t607)) % 200.07/200.31 (step @p938 :rule cong :premises (@p937) :args (@t608)) % 200.07/200.31 (step @p939 :rule cong :premises (@p29 @p938) :args ((=> @t214 @t608))) % 200.07/200.31 (assume-push @p1571 @t214) % 200.07/200.31 (step @p941 :rule instantiate :premises (@p24) :args ((@list @t605))) % 200.07/200.31 (step-pop @p1572 :rule scope :premises (@p941)) % 200.07/200.31 (step @p942 :rule process_scope :premises (@p1572) :args (@t608)) % 200.07/200.31 (step @p944 :rule eq_resolve :premises (@p942 @p939)) % 200.07/200.31 (step @p945 :rule implies_elim :premises (@p944)) % 200.07/200.31 (step @p946 :rule chain_m_resolution :premises (@p945 @p24) :args (@t610 @t244 @t245)) % 200.07/200.31 (step @p947 :rule refl :args (@t613)) % 200.07/200.31 (step @p948 :rule bool-double-not-elim :args (@t609)) % 200.07/200.31 (step @p949 :rule nary_cong :premises (@p948 @p947) :args ((or (not @t610) @t613))) % 200.07/200.31 (step @p950 :rule eq-symm :args (@t612 @t605)) % 200.07/200.31 (step @p951 :rule bool-double-not-elim :args (@t614)) % 200.07/200.31 (step @p952 :rule trans :premises (@p951 @p950)) % 200.07/200.31 (step @p953 :rule refl :args (@t610)) % 200.07/200.31 (step @p954 :rule cong :premises (@p953 @p952) :args ((=> @t610 @t615))) % 200.07/200.31 (assume-push @p1573 @t610) % 200.07/200.31 (step @p956 :rule skolemize :premises (@p946)) % 200.07/200.31 (step-pop @p1574 :rule scope :premises (@p956)) % 200.07/200.31 (step @p957 :rule process_scope :premises (@p1574) :args (@t615)) % 200.07/200.31 (step @p959 :rule eq_resolve :premises (@p957 @p954)) % 200.07/200.31 (step @p960 :rule implies_elim :premises (@p959)) % 200.07/200.31 (step @p961 :rule eq_resolve :premises (@p960 @p949)) % 200.07/200.31 (step @p962 :rule chain_m_resolution :premises (@p961 @p946) :args (@t613 @t251 (@list @t609))) % 200.07/200.31 (step @p963 :rule symm :premises (@p962)) % 200.07/200.31 (step @p964 :rule instantiate :premises (@p7) :args ((@list @t611))) % 200.07/200.31 (step @p965 :rule cong :premises (@p821 @p964) :args (@t219)) % 200.07/200.31 (step @p966 :rule trans :premises (@p965 @p963)) % 200.07/200.31 (step @p967 :rule symm :premises (@p215)) % 200.07/200.31 (step @p968 :rule refl :args (@t220)) % 200.07/200.31 (step @p969 :rule cong :premises (@p968 @p220) :args (@t222)) % 200.07/200.31 (step @p970 :rule trans :premises (@p969 @p967)) % 200.07/200.31 (step @p971 :rule refl :args (@t617)) % 200.07/200.31 (step @p972 :rule cong :premises (@p971 @p970) :args ((_ @t228 @t617 @t222))) % 200.07/200.31 (step @p973 :rule symm :premises (@p169)) % 200.07/200.31 (step @p974 :rule cong :premises (@p821 @p221) :args (@t219)) % 200.07/200.31 (step @p975 :rule trans :premises (@p974 @p973)) % 200.07/200.31 (step @p976 :rule refl :args (@t587)) % 200.07/200.31 (step @p977 :rule cong :premises (@p976 @p970) :args (@t588)) % 200.07/200.31 (step @p978 :rule cong :premises (@p977 @p975) :args (@t589)) % 200.07/200.31 (step @p979 :rule cong :premises (@p824 @p978) :args (@t618)) % 200.07/200.31 (step @p980 :rule cong :premises (@p979 @p789) :args ((_ @t228 @t618 @t222))) % 200.07/200.31 (step @p981 :rule refl :args (@t219)) % 200.07/200.31 (step @p982 :rule symm :premises (@p977)) % 200.07/200.31 (step @p983 :rule cong :premises (@p982 @p981) :args (@t619)) % 200.07/200.31 (step @p984 :rule cong :premises (@p824 @p983) :args ((_ @t227 @t226 @t619))) % 200.07/200.31 (step @p985 :rule refl :args (@t331)) % 200.07/200.31 (step @p986 :rule cong :premises (@p977 @p985) :args (@t620)) % 200.07/200.31 (step @p987 :rule cong :premises (@p824 @p986) :args ((_ @t227 @t226 @t620))) % 200.07/200.31 (step @p988 :rule symm :premises (@p987)) % 200.07/200.31 (step @p989 :rule trans :premises (@p984 @p979 @p988)) % 200.07/200.31 (step @p990 :rule symm :premises (@p989)) % 200.07/200.31 (step @p991 :rule symm :premises (@p934)) % 200.07/200.31 (step @p992 :rule cong :premises (@p976 @p991) :args (@t604)) % 200.07/200.31 (step @p993 :rule cong :premises (@p992 @p804) :args (@t605)) % 200.07/200.31 (step @p994 :rule cong :premises (@p824 @p993) :args (@t621)) % 200.07/200.31 (step @p995 :rule cong :premises (@p824 @p966) :args (@t564)) % 200.07/200.31 (step @p996 :rule symm :premises (@p975)) % 200.07/200.31 (step 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200.07/200.31 (step @p1218 :rule chain_m_resolution :premises (@p1217 @p1216) :args ((not @t677) @t251 @t680)) % 200.07/200.31 (step @p1219 :rule instantiate :premises (@p7) :args ((@list @t682))) % 200.07/200.31 (step @p1220 :rule eq-symm :args (@t670 @t213)) % 200.07/200.31 (step @p1221 :rule cong :premises (@p1220) :args (@t683)) % 200.07/200.31 (step @p1222 :rule cong :premises (@p1221) :args (@t684)) % 200.07/200.31 (step @p1223 :rule cong :premises (@p1222) :args (@t685)) % 200.07/200.31 (step @p1224 :rule cong :premises (@p29 @p1223) :args ((=> @t214 @t685))) % 200.07/200.31 (assume-push @p1655 @t214) % 200.07/200.31 (step @p1226 :rule instantiate :premises (@p24) :args ((@list @t670))) % 200.07/200.31 (step-pop @p1656 :rule scope :premises (@p1226)) % 200.07/200.31 (step @p1227 :rule process_scope :premises (@p1656) :args (@t685)) % 200.07/200.31 (step @p1229 :rule eq_resolve :premises (@p1227 @p1224)) % 200.07/200.31 (step @p1230 :rule implies_elim :premises (@p1229)) % 200.07/200.31 (step @p1231 :rule chain_m_resolution :premises (@p1230 @p24) :args (@t686 @t244 @t245)) % 200.07/200.31 (step @p1232 :rule refl :args (@t688)) % 200.07/200.31 (step @p1233 :rule bool-double-not-elim :args (@t681)) % 200.07/200.31 (step @p1234 :rule nary_cong :premises (@p1233 @p1232) :args ((or (not @t686) @t688))) % 200.07/200.31 (step @p1235 :rule eq-symm :args (@t687 @t670)) % 200.07/200.31 (step @p1236 :rule bool-double-not-elim :args (@t689)) % 200.07/200.31 (step @p1237 :rule trans :premises (@p1236 @p1235)) % 200.07/200.31 (step @p1238 :rule refl :args (@t686)) % 200.07/200.31 (step @p1239 :rule cong :premises (@p1238 @p1237) :args ((=> @t686 @t690))) % 200.07/200.31 (assume-push @p1657 @t686) % 200.07/200.31 (step @p1241 :rule skolemize :premises (@p1231)) % 200.07/200.31 (step-pop @p1658 :rule scope :premises (@p1241)) % 200.07/200.31 (step @p1242 :rule process_scope :premises (@p1658) :args (@t690)) % 200.07/200.31 (step @p1244 :rule eq_resolve :premises 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% 200.07/200.31 (assume-push @p1663 @t692) % 200.07/200.31 (assume-push @p1664 @t691) % 200.07/200.31 (assume-push @p1665 @t688) % 200.07/200.31 (assume-push @p1666 @t692) % 200.07/200.31 (assume-push @p1667 @t328) % 200.07/200.31 (assume-push @p1668 @t562) % 200.07/200.31 (step @p1265 :rule false_intro :premises (@p1661)) % 200.07/200.31 (step @p1266 :rule symm :premises (@p1247)) % 200.07/200.31 (step @p1267 :rule cong :premises (@p821 @p1219) :args (@t219)) % 200.07/200.31 (step @p1268 :rule trans :premises (@p796 @p1267 @p1266)) % 200.07/200.31 (step @p1269 :rule cong :premises (@p797 @p1268) :args (@t563)) % 200.07/200.31 (step @p1270 :rule trans :premises (@p794 @p836 @p1269)) % 200.07/200.31 (step @p1271 :rule refl :args (@t279)) % 200.07/200.31 (step @p1272 :rule cong :premises (@p1271 @p1270) :args (@t674)) % 200.07/200.31 (step @p1273 :rule cong :premises (@p1272 @p789) :args (@t675)) % 200.07/200.31 (step @p1274 :rule trans :premises (@p1273 @p1265)) % 200.07/200.31 (step @p1275 :rule false_elim :premises (@p1274)) % 200.07/200.31 (step-pop @p1669 :rule scope :premises (@p1275)) % 200.07/200.31 (step-pop @p1670 :rule scope :premises (@p1669)) % 200.07/200.31 (step-pop @p1671 :rule scope :premises (@p1670)) % 200.07/200.31 (step-pop @p1672 :rule scope :premises (@p1671)) % 200.07/200.31 (step-pop @p1673 :rule scope :premises (@p1672)) % 200.07/200.31 (step @p1276 :rule process_scope :premises (@p1673) :args (@t676)) % 200.07/200.31 (step @p1282 :rule and_intro :premises (@p1661 @p1247 @p1219 @p141 @p794)) % 200.07/200.31 (step @p1283 :rule modus_ponens :premises (@p1282 @p1276)) % 200.07/200.31 (step-pop @p1674 :rule scope :premises (@p1283)) % 200.07/200.31 (step-pop @p1675 :rule scope :premises (@p1674)) % 200.07/200.31 (step-pop @p1676 :rule scope :premises (@p1675)) % 200.07/200.31 (step-pop @p1677 :rule scope :premises (@p1676)) % 200.07/200.31 (step-pop @p1678 :rule scope :premises (@p1677)) % 200.07/200.31 (step @p1284 :rule process_scope :premises (@p1678) :args (@t676)) % 200.07/200.31 (step @p1290 :rule implies_elim :premises (@p1284)) % 200.07/200.31 (step @p1291 :rule cnf_and_neg :args (@t696)) % 200.07/200.31 (step @p1292 :rule resolution :premises (@p1291 @p1290) :args (true @t696)) % 200.07/200.31 (step @p1293 :rule eq_resolve :premises (@p1292 @p1254)) % 200.07/200.31 (step @p1294 :rule reordering :premises (@p1293) :args ((or @t642 @t638 @t676 @t671 @t694 @t693))) % 200.07/200.31 (step @p1295 :rule chain_m_resolution :premises (@p1294 @p794 @p141 @p1249 @p1247 @p1219) :args (@t676 (@list false false true false false) (@list @t562 @t328 @t671 @t688 @t692))) % 200.07/200.31 (step @p1296 :rule bool-double-not-elim :args (@t672)) % 200.07/200.31 (step @p1297 :rule bool-double-not-elim :args (@t675)) % 200.07/200.31 (step @p1298 :rule refl :args (@t677)) % 200.07/200.31 (step @p1299 :rule nary_cong :premises (@p1298 @p1297 @p1296) :args ((or @t677 (not @t676) (not @t673)))) % 200.07/200.31 (step @p1300 :rule cnf_and_neg :args (@t677)) % 200.07/200.31 (step @p1301 :rule eq_resolve :premises (@p1300 @p1299)) % 200.07/200.31 (step @p1302 :rule reordering :premises (@p1301) :args ((or @t675 @t672 @t677))) % 200.07/200.31 (step @p1303 :rule chain_m_resolution :premises (@p1302 @p1295 @p1218) :args (@t672 @t697 (@list @t675 @t677))) % 200.07/200.31 (assume-push @p1679 @t672) % 200.07/200.31 (step @p1305 :rule instantiate :premises (@p1679) :args ((@list @t223))) % 200.07/200.31 (step-pop @p1680 :rule scope :premises (@p1305)) % 200.07/200.31 (step @p1306 :rule process_scope :premises (@p1680) :args (@t700)) % 200.07/200.31 (step @p1308 :rule implies_elim :premises (@p1306)) % 200.07/200.31 (step @p1309 :rule chain_m_resolution :premises (@p1308 @p1303) :args (@t700 @t244 (@list @t672))) % 200.07/200.31 (step @p1310 :rule refl :args (@t703)) % 200.07/200.31 (step @p1311 :rule refl :args (@t705)) % 200.07/200.31 (step @p1312 :rule refl :args (@t706)) % 200.07/200.31 (step @p1313 :rule nary_cong :premises (@p1034 @p1030 @p1253 @p1252 @p1251 @p1312 @p1311 @p1310) :args ((or @t642 @t638 @t695 @t694 @t693 @t706 @t705 @t703))) % 200.07/200.31 (assume-push @p1681 @t562) % 200.07/200.31 (assume-push @p1682 @t328) % 200.07/200.31 (assume-push @p1683 @t691) % 200.07/200.31 (assume-push @p1684 @t688) % 200.07/200.31 (assume-push @p1685 @t692) % 200.07/200.31 (assume-push @p1686 @t291) % 200.07/200.31 (assume-push @p1687 @t704) % 200.07/200.31 (assume-push @p1688 @t691) % 200.07/200.31 (assume-push @p1689 @t688) % 200.07/200.31 (assume-push @p1690 @t692) % 200.07/200.31 (assume-push @p1691 @t328) % 200.07/200.31 (assume-push @p1692 @t562) % 200.07/200.31 (assume-push @p1693 @t704) % 200.07/200.31 (assume-push @p1694 @t291) % 200.07/200.31 (step @p1328 :rule false_intro :premises (@p1683)) % 200.07/200.31 (step @p1266 :rule symm :premises (@p1247)) % 200.07/200.31 (step @p1267 :rule cong :premises (@p821 @p1219) :args (@t219)) % 200.07/200.31 (step @p1268 :rule trans :premises (@p796 @p1267 @p1266)) % 200.07/200.31 (step @p1269 :rule cong :premises (@p797 @p1268) :args (@t563)) % 200.07/200.31 (step @p1270 :rule trans :premises (@p794 @p836 @p1269)) % 200.07/200.31 (step @p1271 :rule refl :args (@t279)) % 200.07/200.31 (step @p1272 :rule cong :premises (@p1271 @p1270) :args (@t674)) % 200.07/200.31 (step @p1273 :rule cong :premises (@p1272 @p789) :args (@t675)) % 200.07/200.31 (step @p1329 :rule symm :premises (@p82)) % 200.07/200.31 (step @p1330 :rule cong :premises (@p821 @p1329) :args (@t290)) % 200.07/200.31 (step @p1331 :rule trans :premises (@p81 @p1330)) % 200.07/200.31 (step @p1332 :rule cong :premises (@p1271 @p1331) :args (@t701)) % 200.07/200.31 (step @p1333 :rule cong :premises (@p1332 @p789) :args (@t702)) % 200.07/200.31 (step @p1334 :rule trans :premises (@p1333 @p1273 @p1328)) % 200.07/200.31 (step @p1335 :rule false_elim :premises (@p1334)) % 200.07/200.31 (step-pop @p1695 :rule scope :premises (@p1335)) % 200.07/200.31 (step-pop @p1696 :rule scope :premises (@p1695)) % 200.07/200.31 (step-pop @p1697 :rule scope :premises (@p1696)) % 200.07/200.31 (step-pop @p1698 :rule scope :premises (@p1697)) % 200.07/200.31 (step-pop @p1699 :rule scope :premises (@p1698)) % 200.07/200.31 (step-pop @p1700 :rule scope :premises (@p1699)) % 200.07/200.31 (step-pop @p1701 :rule scope :premises (@p1700)) % 200.07/200.31 (step @p1336 :rule process_scope :premises (@p1701) :args (@t703)) % 200.07/200.31 (step @p1344 :rule and_intro :premises (@p1683 @p1247 @p1219 @p141 @p794 @p82 @p81)) % 200.07/200.31 (step @p1345 :rule modus_ponens :premises (@p1344 @p1336)) % 200.07/200.31 (step-pop @p1702 :rule scope :premises (@p1345)) % 200.07/200.31 (step-pop @p1703 :rule scope :premises (@p1702)) % 200.07/200.31 (step-pop @p1704 :rule scope :premises (@p1703)) % 200.07/200.31 (step-pop @p1705 :rule scope :premises (@p1704)) % 200.07/200.31 (step-pop @p1706 :rule scope :premises (@p1705)) % 200.07/200.31 (step-pop @p1707 :rule scope :premises (@p1706)) % 200.07/200.31 (step-pop @p1708 :rule scope :premises (@p1707)) % 200.07/200.31 (step @p1346 :rule process_scope :premises (@p1708) :args (@t703)) % 200.07/200.31 (step @p1354 :rule implies_elim :premises (@p1346)) % 200.07/200.31 (step @p1355 :rule cnf_and_neg :args (@t707)) % 200.07/200.31 (step @p1356 :rule resolution :premises (@p1355 @p1354) :args (true @t707)) % 200.07/200.31 (step @p1357 :rule eq_resolve :premises (@p1356 @p1313)) % 200.07/200.31 (step @p1358 :rule reordering :premises (@p1357) :args ((or @t642 @t638 @t671 @t694 @t693 @t703 @t706 @t705))) % 200.07/200.31 (step @p1359 :rule chain_m_resolution :premises (@p1358 @p794 @p141 @p1249 @p1247 @p1219 @p81 @p82) :args (@t703 (@list false false true false false false false) (@list @t562 @t328 @t671 @t688 @t692 @t291 @t704))) % 200.07/200.31 (step @p1360 :rule bool-double-not-elim :args (@t702)) % 200.07/200.31 (step @p1361 :rule refl :args (@t708)) % 200.07/200.31 (step @p1362 :rule nary_cong :premises (@p1361 @p1360) :args ((or @t708 (not @t703)))) % 200.07/200.31 (step @p1363 :rule cnf_or_neg :args (@t708 0)) % 200.07/200.31 (step @p1364 :rule eq_resolve :premises (@p1363 @p1362)) % 200.07/200.31 (step @p1365 :rule reordering :premises (@p1364) :args ((or @t702 @t708))) % 200.07/200.31 (step @p1366 :rule chain_m_resolution :premises (@p1365 @p1359) :args (@t708 @t251 (@list @t702))) % 200.07/200.31 (step @p1367 :rule refl :args (@t709)) % 200.07/200.31 (step @p1368 :rule bool-double-not-elim :args (@t281)) % 200.07/200.31 (step @p1369 :rule nary_cong :premises (@p1368 @p1367) :args ((or (not @t698) @t709))) % 200.07/200.31 (assume-push @p1709 @t698) % 200.07/200.31 (step @p1371 :rule skolemize :premises (@p1709)) % 200.07/200.31 (step-pop @p1710 :rule scope :premises (@p1371)) % 200.07/200.31 (step @p1372 :rule process_scope :premises (@p1710) :args (@t709)) % 200.07/200.31 (step @p1374 :rule implies_elim :premises (@p1372)) % 200.07/200.31 (step @p1375 :rule eq_resolve :premises (@p1374 @p1369)) % 200.07/200.31 (step @p1376 :rule chain_m_resolution :premises (@p1375 @p1366) :args (@t281 @t244 (@list @t708))) % 200.07/200.31 (step @p1377 :rule cnf_or_pos :args (@t700)) % 200.07/200.31 (step @p1378 :rule reordering :premises (@p1377) :args ((or @t699 @t698 (not @t700)))) % 200.07/200.31 (step @p1379 :rule chain_m_resolution :premises (@p1378 @p1376 @p1309) :args (@t699 (@list false false) (@list @t281 @t700))) % 200.07/200.31 (step @p1380 :rule refl :args (@t711)) % 200.07/200.31 (step @p1381 :rule bool-double-not-elim :args (@t234)) % 200.07/200.31 (step @p1382 :rule nary_cong :premises (@p1381 @p1380) :args ((or (not @t699) @t711))) % 200.07/200.31 (assume-push @p1711 @t699) % 200.07/200.31 (step @p1384 :rule skolemize :premises (@p1711)) % 200.07/200.31 (step-pop @p1712 :rule scope :premises (@p1384)) % 200.07/200.31 (step @p1385 :rule process_scope :premises (@p1712) :args (@t711)) % 200.07/200.31 (step @p1387 :rule implies_elim :premises (@p1385)) % 200.07/200.31 (step @p1388 :rule eq_resolve :premises (@p1387 @p1382)) % 200.07/200.31 (step @p1389 :rule chain_m_resolution :premises (@p1388 @p1379) :args (@t711 @t251 (@list @t234))) % 200.07/200.31 (assume-push @p1713 @t328) % 200.07/200.31 (assume-push @p1714 @t339) % 200.07/200.31 (assume-push @p1715 @t355) % 200.07/200.31 (assume-push @p1716 @t632) % 200.07/200.31 (assume-push @p1717 @t630) % 200.07/200.31 (assume-push @p1718 @t365) % 200.07/200.31 (assume-push @p1719 @t712) % 200.07/200.31 (assume-push @p1720 @t713) % 200.07/200.31 (assume-push @p1721 @t712) % 200.07/200.31 (assume-push @p1722 @t713) % 200.07/200.31 (assume-push @p1723 @t630) % 200.07/200.31 (assume-push @p1724 @t632) % 200.07/200.31 (assume-push @p1725 @t365) % 200.07/200.31 (assume-push @p1726 @t355) % 200.07/200.31 (assume-push @p1727 @t339) % 200.07/200.31 (assume-push @p1728 @t328) % 200.07/200.31 (step @p1406 :rule refl :args (@t235)) % 200.07/200.31 (step @p1407 :rule symm :premises (@p249)) % 200.07/200.31 (step @p1408 :rule cong :premises (@p821 @p250) :args (@t219)) % 200.07/200.31 (step @p1409 :rule trans :premises (@p1408 @p1407)) % 200.07/200.31 (step @p1410 :rule refl :args (@t223)) % 200.07/200.31 (step @p1411 :rule cong :premises (@p1410 @p970) :args (@t252)) % 200.07/200.31 (step @p1412 :rule cong :premises (@p1411 @p1409) :args (@t327)) % 200.07/200.31 (step @p1413 :rule trans :premises (@p141 @p1412)) % 200.07/200.31 (step @p1414 :rule cong :premises (@p824 @p1413) :args (@t564)) % 200.07/200.31 (step @p1415 :rule cong :premises (@p1414 @p1406) :args ((_ @t228 @t564 @t235))) % 200.07/200.31 (step @p1416 :rule cong :premises (@p825 @p1406) :args (@t238)) % 200.07/200.31 (step @p1417 :rule symm :premises (@p221)) % 200.07/200.31 (step @p1418 :rule cong :premises (@p821 @p1417) :args (@t338)) % 200.07/200.31 (step @p1419 :rule trans :premises (@p169 @p1418 @p1720 @p1416 @p1415)) % 200.07/200.31 (step-pop @p1729 :rule scope :premises (@p1419)) % 200.07/200.31 (step-pop @p1730 :rule scope :premises (@p1729)) % 200.07/200.31 (step-pop @p1731 :rule scope :premises (@p1730)) % 200.07/200.31 (step-pop @p1732 :rule scope :premises (@p1731)) % 200.07/200.31 (step-pop @p1733 :rule scope :premises (@p1732)) % 200.07/200.31 (step-pop @p1734 :rule scope :premises (@p1733)) % 200.07/200.31 (step-pop @p1735 :rule scope :premises (@p1734)) % 200.07/200.31 (step-pop @p1736 :rule scope :premises (@p1735)) % 200.07/200.31 (step @p1420 :rule process_scope :premises (@p1736) :args (@t710)) % 200.07/200.31 (step @p1429 :rule and_intro :premises (@p250 @p1720 @p220 @p221 @p249 @p215 @p169 @p141)) % 200.07/200.31 (step @p1430 :rule modus_ponens :premises (@p1429 @p1420)) % 200.07/200.31 (step-pop @p1737 :rule scope :premises (@p1430)) % 200.07/200.31 (step-pop @p1738 :rule scope :premises (@p1737)) % 200.07/200.31 (step-pop @p1739 :rule scope :premises (@p1738)) % 200.07/200.31 (step-pop @p1740 :rule scope :premises (@p1739)) % 200.07/200.31 (step-pop @p1741 :rule scope :premises (@p1740)) % 200.07/200.31 (step-pop @p1742 :rule scope :premises (@p1741)) % 200.07/200.31 (step-pop @p1743 :rule scope :premises (@p1742)) % 200.07/200.31 (step-pop @p1744 :rule scope :premises (@p1743)) % 200.07/200.31 (step @p1431 :rule process_scope :premises (@p1744) :args (@t710)) % 200.07/200.31 (step @p1440 :rule implies_elim :premises (@p1431)) % 200.07/200.31 (step @p1441 :rule cnf_and_neg :args (@t714)) % 200.07/200.31 (step @p1442 :rule resolution :premises (@p1441 @p1440) :args (true @t714)) % 200.07/200.31 (step @p1443 :rule reordering :premises (@p1442) :args ((or @t638 @t710 @t635 @t634 @t633 @t631 (not @t365) (not @t712) @t715))) % 200.07/200.31 (step @p1444 :rule chain_m_resolution :premises (@p1443 @p1389 @p250 @p249 @p221 @p220 @p215 @p169 @p141) :args (@t715 (@list true false false false false false false false) (@list @t710 @t712 @t365 @t632 @t630 @t355 @t339 @t328))) % 200.07/200.31 ; trust TRUST PREPROCESS_HO_ELIM % 200.07/200.31 (step @p1445 :rule trust :premises () :args ((= @t162 (not @t716)))) % 200.07/200.31 (step @p1446 :rule and_elim :premises (@p1) :args (18)) % 200.07/200.31 (step @p1447 :rule eq_resolve :premises (@p1446 @p1445)) % 200.07/200.31 (step @p1448 :rule cnf_or_pos :args (@t717)) % 200.07/200.31 (step @p1449 :rule reordering :premises (@p1448) :args ((or @t716 @t713 @t718))) % 200.07/200.31 (step @p1450 :rule chain_m_resolution :premises (@p1449 @p1447 @p1444) :args (@t718 @t697 (@list @t716 @t713))) % 200.07/200.31 (step @p1451 :rule cnf_equiv_pos2 :args (@t720)) % 200.07/200.31 (step @p1452 :rule reordering :premises (@p1451) :args ((or @t717 @t721 (not @t720)))) % 200.07/200.31 (step @p1453 :rule chain_m_resolution :premises (@p1452 @p1450 @p136) :args (@t721 @t722 (@list @t717 @t720))) % 200.07/200.31 (step @p1454 :rule refl :args (@t723)) % 200.07/200.31 (step @p1455 :rule bool-double-not-elim :args (@t719)) % 200.07/200.31 (step @p1456 :rule nary_cong :premises (@p1455 @p1312 @p1311 @p1454) :args ((or (not @t721) @t706 @t705 @t723))) % 200.07/200.31 (assume-push @p1745 @t721) % 200.07/200.31 (assume-push @p1746 @t291) % 200.07/200.31 (assume-push @p1747 @t704) % 200.07/200.31 (assume-push @p1748 @t721) % 200.07/200.31 (assume-push @p1749 @t704) % 200.07/200.31 (assume-push @p1750 @t291) % 200.07/200.31 (step @p1463 :rule false_intro :premises (@p1745)) % 200.07/200.31 (step @p1329 :rule symm :premises (@p82)) % 200.07/200.31 (step @p1330 :rule cong :premises (@p821 @p1329) :args (@t290)) % 200.07/200.31 (step @p1331 :rule trans :premises (@p81 @p1330)) % 200.07/200.31 (step @p1464 :rule refl :args (@t315)) % 200.07/200.31 (step @p1465 :rule cong :premises (@p1464 @p1331) :args (@t323)) % 200.07/200.31 (step @p1466 :rule trans :premises (@p1465 @p1463)) % 200.07/200.31 (step @p1467 :rule false_elim :premises (@p1466)) % 200.07/200.31 (step-pop @p1751 :rule scope :premises (@p1467)) % 200.07/200.31 (step-pop @p1752 :rule scope :premises (@p1751)) % 200.07/200.31 (step-pop @p1753 :rule scope :premises (@p1752)) % 200.07/200.31 (step @p1468 :rule process_scope :premises (@p1753) :args (@t723)) % 200.07/200.31 (step @p1472 :rule and_intro :premises (@p1745 @p82 @p81)) % 200.07/200.31 (step @p1473 :rule modus_ponens :premises (@p1472 @p1468)) % 200.07/200.31 (step-pop @p1754 :rule scope :premises (@p1473)) % 200.07/200.31 (step-pop @p1755 :rule scope :premises (@p1754)) % 200.07/200.31 (step-pop @p1756 :rule scope :premises (@p1755)) % 200.07/200.31 (step @p1474 :rule process_scope :premises (@p1756) :args (@t723)) % 200.07/200.31 (step @p1478 :rule implies_elim :premises (@p1474)) % 200.07/200.31 (step @p1479 :rule cnf_and_neg :args (@t724)) % 200.07/200.31 (step @p1480 :rule resolution :premises (@p1479 @p1478) :args (true @t724)) % 200.07/200.31 (step @p1481 :rule eq_resolve :premises (@p1480 @p1456)) % 200.07/200.31 (step @p1482 :rule reordering :premises (@p1481) :args ((or @t719 @t723 @t706 @t705))) % 200.07/200.31 (step @p1483 :rule chain_m_resolution :premises (@p1482 @p1453 @p81 @p82) :args (@t723 (@list true false false) (@list @t719 @t291 @t704))) % 200.07/200.31 (step @p1484 :rule cnf_equiv_pos2 :args (@t326)) % 200.07/200.31 (step @p1485 :rule reordering :premises (@p1484) :args ((or @t323 @t725 (not @t326)))) % 200.07/200.31 (step @p1486 :rule chain_m_resolution :premises (@p1485 @p1483 @p135) :args (@t725 @t722 (@list @t323 @t326))) % 200.07/200.31 (step @p1487 :rule cnf_or_neg :args (@t322 0)) % 200.07/200.31 (step @p1488 :rule reordering :premises (@p1487) :args ((or @t726 @t322))) % 200.07/200.31 (step @p1489 :rule chain_m_resolution :premises (@p1488 @p1486) :args (@t726 @t251 (@list @t322))) % 200.07/200.31 (assume-push @p1757 @t248) % 200.07/200.31 (assume-push @p1758 @t727) % 200.07/200.31 (assume-push @p1759 @t291) % 200.07/200.31 (assume-push @p1760 @t704) % 200.07/200.31 (assume-push @p1761 @t291) % 200.07/200.31 (assume-push @p1762 @t704) % 200.07/200.31 (assume-push @p1763 @t727) % 200.07/200.31 (assume-push @p1764 @t248) % 200.07/200.31 (step @p1498 :rule symm :premises (@p81)) % 200.07/200.31 (step @p1499 :rule cong :premises (@p821 @p82) :args (@t219)) % 200.07/200.31 (step @p1500 :rule eq_resolve :premises (@p6 @p5)) % 200.07/200.31 (step @p1501 :rule instantiate :premises (@p1500) :args (@t728)) % 200.07/200.31 (step @p1502 :rule symm :premises (@p1501)) % 200.07/200.31 (step @p1503 :rule cong :premises (@p821 @p1502) :args (@t247)) % 200.07/200.31 (step @p1504 :rule trans :premises (@p53 @p1503 @p1499 @p1498)) % 200.07/200.31 (step-pop @p1765 :rule scope :premises (@p1504)) % 200.07/200.31 (step-pop @p1766 :rule scope :premises (@p1765)) % 200.07/200.31 (step-pop @p1767 :rule scope :premises (@p1766)) % 200.07/200.32 (step-pop @p1768 :rule scope :premises (@p1767)) % 200.07/200.32 (step @p1505 :rule process_scope :premises (@p1768) :args (@t321)) % 200.07/200.32 (step @p1500 :rule eq_resolve :premises (@p6 @p5)) % 200.07/200.32 (step @p1510 :rule instantiate :premises (@p1500) :args (@t728)) % 200.07/200.32 (step @p1511 :rule and_intro :premises (@p81 @p82 @p1510 @p53)) % 200.07/200.32 (step @p1512 :rule modus_ponens :premises (@p1511 @p1505)) % 200.07/200.32 (step-pop @p1769 :rule scope :premises (@p1512)) % 200.07/200.32 (step-pop @p1770 :rule scope :premises (@p1769)) % 200.07/200.32 (step-pop @p1771 :rule scope :premises (@p1770)) % 200.07/200.32 (step-pop @p1772 :rule scope :premises (@p1771)) % 200.07/200.32 (step @p1513 :rule process_scope :premises (@p1772) :args (@t321)) % 200.07/200.32 (step @p1518 :rule implies_elim :premises (@p1513)) % 200.07/200.32 (step @p1519 :rule cnf_and_neg :args (@t729)) % 200.07/200.32 (step @p1520 :rule resolution :premises (@p1519 @p1518) :args (true @t729)) % 200.07/200.32 (step @p1521 :rule reordering :premises (@p1520) :args ((or (not @t248) @t730 @t321 @t706 @t705))) % 200.07/200.32 (step @p1522 :rule chain_m_resolution :premises (@p1521 @p1489 @p82 @p81 @p53) :args (@t730 (@list true false false false) (@list @t321 @t704 @t291 @t248))) % 200.07/200.32 (assume-push @p1773 @t731) % 200.07/200.32 (step @p1524 :rule instantiate :premises (@p7) :args (@t728)) % 200.07/200.32 (step-pop @p1774 :rule scope :premises (@p1524)) % 200.07/200.32 (step @p1525 :rule process_scope :premises (@p1774) :args (@t727)) % 200.07/200.32 (step @p1527 :rule implies_elim :premises (@p1525)) % 200.07/200.32 (step @p1528 false :rule chain_m_resolution :premises (@p1527 @p1522 @p7) :args (false @t722 (@list @t727 @t731))) % 200.07/200.32 ) % 200.07/200.32 % SZS output end Proof % 200.07/200.32 % cvc5 exiting %------------------------------------------------------------------------------