%------------------------------------------------------------------------------ % 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 : n010.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 09:07:14 AM UTC 2026 % Result : Theorem 1.41s 1.66s % Output : Proof 1.41s % 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. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n010.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 23:01:25 EDT 2026 % 0.17/0.34 % CPUTime : % 0.38/0.56 %----Proving TH0 % 1.41/1.66 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 1.41/1.66 % SZS status Theorem % 1.41/1.66 % SZS output start Proof % 1.41/1.66 ( % 1.41/1.66 (declare-sort tptp.term 0) % 1.41/1.66 (declare-sort tptp.subst 0) % 1.41/1.66 (declare-sort tptp.d_term 0) % 1.41/1.66 (declare-sort tptp.d_subst 0) % 1.41/1.66 (declare-const tptp.hoasap (-> tptp.subst tptp.term tptp.subst tptp.term tptp.term)) % 1.41/1.66 (declare-const tptp.hoaslam (-> tptp.subst (-> tptp.subst tptp.term tptp.term) tptp.term)) % 1.41/1.66 (declare-const tptp.hoasinduction_p_and_p_prime (-> (-> tptp.subst tptp.term tptp.subst Bool) (-> tptp.term Bool) Bool)) % 1.41/1.66 (declare-const tptp.pushprop_lem1v2 Bool) % 1.41/1.66 (declare-const tptp.pushprop_lem1_gthm Bool) % 1.41/1.66 (declare-const tptp.axmap Bool) % 1.41/1.66 (declare-const tptp.pushprop_lem0_gthm Bool) % 1.41/1.66 (declare-const tptp.shinj Bool) % 1.41/1.66 (declare-const tptp.hoasinduction_lem1v2 Bool) % 1.41/1.66 (declare-const tptp.hoasinduction_lem1v2_gthm Bool) % 1.41/1.66 (declare-const tptp.induction2lem Bool) % 1.41/1.66 (declare-const tptp.hoasinduction_lem3v2_f Bool) % 1.41/1.66 (declare-const tptp.axvarshift Bool) % 1.41/1.66 (declare-const tptp.hoasapinj2 Bool) % 1.41/1.66 (declare-const tptp.hoasapnotvar_gthm Bool) % 1.41/1.66 (declare-const tptp.hoasapinj1 Bool) % 1.41/1.66 (declare-const tptp.ulamvar1 Bool) % 1.41/1.66 (declare-const tptp.induction2lem_lthm Bool) % 1.41/1.66 (declare-const tptp.hoasinduction_lem3v2_gthm Bool) % 1.41/1.66 (declare-const tptp.apnotvar Bool) % 1.41/1.66 (declare-const tptp.pushprop_lthm_orig Bool) % 1.41/1.66 (declare-const tptp.hoasinduction_lem3v2_f_lthm Bool) % 1.41/1.66 (declare-const tptp.hoasinduction_lthm Bool) % 1.41/1.66 (declare-const tptp.hoasinduction_no_psi_cond_lthm Bool) % 1.41/1.66 (declare-const tptp.hoaslaminj Bool) % 1.41/1.66 (declare-const tptp.hoasinduction_lem3aaa Bool) % 1.41/1.66 (declare-const tptp.induction2lem_gthm Bool) % 1.41/1.66 (declare-const tptp.hoasinduction_lem3aa_lthm Bool) % 1.41/1.66 (declare-const tptp.hoasinduction_lem3 Bool) % 1.41/1.66 (declare-const tptp.hoasinduction_lem2 Bool) % 1.41/1.66 (declare-const tptp.termmset_lthm Bool) % 1.41/1.66 (declare-const tptp.hoasinduction_lem1 Bool) % 1.41/1.66 (declare-const tptp.hoaslamnotap_lthm Bool) % 1.41/1.66 (declare-const tptp.pushprop_lem1v2_lthm Bool) % 1.41/1.66 (declare-const tptp.hoasapnotvar Bool) % 1.41/1.66 (declare-const tptp.hoasinduction_lem0 Bool) % 1.41/1.66 (declare-const tptp.hoasinduction Bool) % 1.41/1.66 (declare-const tptp.hoasinduction_gthm Bool) % 1.41/1.66 (declare-const tptp.axapp Bool) % 1.41/1.66 (declare-const tptp.hoaslamnotvar_lthm Bool) % 1.41/1.66 (declare-const tptp.pushprop_lem3v2_lthm Bool) % 1.41/1.66 (declare-const tptp.hoasinduction_lem3b_lthm Bool) % 1.41/1.66 (declare-const tptp.ulamvarind Bool) % 1.41/1.66 (declare-const tptp.induction Bool) % 1.41/1.66 (declare-const tptp.hoasinduction_lem3a_lthm Bool) % 1.41/1.66 (declare-const tptp.termmset_gthm Bool) % 1.41/1.66 (declare-const tptp.hoasinduction_lem3aa Bool) % 1.41/1.66 (declare-const tptp.pushprop_lem1v2_gthm Bool) % 1.41/1.66 (declare-const tptp.hoaslamnotap_gthm Bool) % 1.41/1.66 (declare-const tptp.hoaslamnotvar_gthm Bool) % 1.41/1.66 (declare-const tptp.hoasinduction_lem3b_gthm Bool) % 1.41/1.66 (declare-const tptp.pushprop_lem2v2 Bool) % 1.41/1.66 (declare-const tptp.hoasinduction_lem3a_gthm Bool) % 1.41/1.66 (declare-const tptp.axclos Bool) % 1.41/1.66 (declare-const tptp.axassoc Bool) % 1.41/1.66 (declare-const tptp.hoasinduction_lem2v2 Bool) % 1.41/1.66 (declare-const tptp.pushprop_lthm Bool) % 1.41/1.66 (declare-const tptp.apinj2 Bool) % 1.41/1.66 (declare-const tptp.apinj1 Bool) % 1.41/1.66 (declare-const tptp.hoasapinj2_lthm Bool) % 1.41/1.66 (declare-const tptp.hoasinduction_lem3v2a Bool) % 1.41/1.66 (declare-const tptp.hoasapinj1_lthm Bool) % 1.41/1.66 (declare-const tptp.hoaslaminj_lthm Bool) % 1.41/1.66 (declare-const tptp.axvarcons Bool) % 1.41/1.66 (declare-const tptp.axscons Bool) % 1.41/1.66 (declare-const tptp.hoasinduction_lem2v2_gthm Bool) % 1.41/1.66 (declare-const tptp.d_one tptp.d_term) % 1.41/1.66 (declare-const tptp.hoaslamnotap Bool) % 1.41/1.66 (declare-const tptp.ulamvarsh Bool) % 1.41/1.66 (declare-const tptp.pushprop_lem3v2 Bool) % 1.41/1.66 (declare-const tptp.axshiftcons Bool) % 1.41/1.66 (declare-const tptp.id tptp.subst) % 1.41/1.66 (declare-const tptp.pushprop_lem1_lthm Bool) % 1.41/1.66 (declare-const tptp.hoasvar (-> tptp.subst tptp.term tptp.subst Bool)) % 1.41/1.66 (declare-const tptp.pushprop_lem0_lthm Bool) % 1.41/1.66 (declare-const tptp.one tptp.term) % 1.41/1.66 (declare-const tptp.substmonoid_gthm Bool) % 1.41/1.66 (declare-const tptp.hoasinduction_lem3v2 Bool) % 1.41/1.66 (declare-const tptp.sh tptp.subst) % 1.41/1.66 (declare-const tptp.termmset Bool) % 1.41/1.66 (declare-const tptp.induction2 Bool) % 1.41/1.66 (declare-const tptp.pushprop_p_and_p_prime (-> tptp.term tptp.subst (-> tptp.term Bool) (-> tptp.term Bool) Bool)) % 1.41/1.66 (declare-const tptp.lam (-> tptp.term tptp.term)) % 1.41/1.66 (declare-const tptp.pushprop_lem2v2_gthm Bool) % 1.41/1.66 (declare-const tptp.ap (-> tptp.term tptp.term tptp.term)) % 1.41/1.66 (declare-const tptp.hoasinduction_lem3v2_lthm Bool) % 1.41/1.66 (declare-const tptp.axvarid Bool) % 1.41/1.66 (declare-const tptp.d_id tptp.d_subst) % 1.41/1.66 (declare-const tptp.var (-> tptp.term Bool)) % 1.41/1.66 (declare-const tptp.d2term (-> tptp.d_term tptp.term)) % 1.41/1.66 (declare-const tptp.push (-> tptp.term tptp.subst tptp.subst)) % 1.41/1.66 (declare-const tptp.hoasapnotvar_lthm Bool) % 1.41/1.66 (declare-const tptp.sub (-> tptp.term tptp.subst tptp.term)) % 1.41/1.66 (declare-const tptp.hoasinduction_lthm_3 Bool) % 1.41/1.66 (declare-const tptp.d2subst (-> tptp.d_subst tptp.subst)) % 1.41/1.66 (declare-const tptp.comp (-> tptp.subst tptp.subst tptp.subst)) % 1.41/1.66 (declare-const tptp.pushprop_lem2v2_lthm Bool) % 1.41/1.66 (declare-const tptp.induction2_gthm Bool) % 1.41/1.66 (declare-const tptp.hoasinduction_no_psi_cond Bool) % 1.41/1.66 (declare-const tptp.hoasinduction_lem1_gthm Bool) % 1.41/1.66 (declare-const tptp.hoasinduction_lem3a Bool) % 1.41/1.66 (declare-const tptp.lamnotvar Bool) % 1.41/1.66 (declare-const tptp.substmonoid Bool) % 1.41/1.66 (declare-const tptp.hoasinduction_lem3b Bool) % 1.41/1.66 (declare-const tptp.hoasinduction_lem2_gthm Bool) % 1.41/1.66 (declare-const tptp.hoasinduction_lem3_gthm Bool) % 1.41/1.66 (declare-const tptp.pushprop Bool) % 1.41/1.66 (declare-const tptp.substmonoid_lthm Bool) % 1.41/1.66 (declare-const tptp.hoasinduction_lem0_lthm Bool) % 1.41/1.66 (declare-const tptp.induction2_lthm Bool) % 1.41/1.66 (declare-const tptp.hoaslaminj_gthm Bool) % 1.41/1.66 (declare-const tptp.axidl Bool) % 1.41/1.66 (declare-const tptp.hoaslamnotvar Bool) % 1.41/1.66 (declare-const tptp.hoasapinj1_gthm Bool) % 1.41/1.66 (declare-const tptp.lamnotap Bool) % 1.41/1.66 (declare-const tptp.hoasinduction_lem1_lthm Bool) % 1.41/1.66 (declare-const tptp.hoasapinj2_gthm Bool) % 1.41/1.66 (declare-const tptp.hoasinduction_lem2_lthm Bool) % 1.41/1.66 (declare-const tptp.hoasinduction_lem3v2a_lthm Bool) % 1.41/1.66 (declare-const tptp.axabs Bool) % 1.41/1.66 (declare-const tptp.pushprop_gthm Bool) % 1.41/1.66 (declare-const tptp.pushprop_lem0 Bool) % 1.41/1.66 (declare-const tptp.hoasinduction_lem3_lthm Bool) % 1.41/1.66 (declare-const tptp.laminj Bool) % 1.41/1.66 (declare-const tptp.pushprop_lem1 Bool) % 1.41/1.66 (declare-const tptp.axidr Bool) % 1.41/1.66 (define @t1 () (@var "Bound_variable_3283" tptp.term)) % 1.41/1.66 (define @t2 () (@var "P" (-> tptp.subst tptp.term tptp.subst Bool))) % 1.41/1.66 (define @t3 () (_ @t2 tptp.id)) % 1.41/1.66 (define @t4 () (@var "F" (-> tptp.subst tptp.term tptp.term))) % 1.41/1.66 (define @t5 () (_ (_ @t4 tptp.sh) tptp.one)) % 1.41/1.66 (define @t6 () (_ tptp.lam @t5)) % 1.41/1.66 (define @t7 () (_ (_ @t3 @t6) tptp.id)) % 1.41/1.66 (define @t8 () (@var "A" tptp.term)) % 1.41/1.66 (define @t9 () (_ (_ @t3 @t8) tptp.id)) % 1.41/1.66 (define @t10 () (not @t9)) % 1.41/1.66 (define @t11 () (@list @t8)) % 1.41/1.66 (define @t12 () (not (forall @t11 (or @t10 (_ (_ @t3 (_ (_ @t4 tptp.id) @t8)) tptp.id))))) % 1.41/1.66 (define @t13 () (@var "N" tptp.subst)) % 1.41/1.66 (define @t14 () (_ tptp.sub @t8)) % 1.41/1.66 (define @t15 () (_ @t14 @t13)) % 1.41/1.66 (define @t16 () (@var "M" tptp.subst)) % 1.41/1.66 (define @t17 () (_ tptp.comp @t16)) % 1.41/1.66 (define @t18 () (_ @t17 @t13)) % 1.41/1.66 (define @t19 () (_ (_ @t4 @t16) @t8)) % 1.41/1.66 (define @t20 () (@list @t16 @t8 @t13)) % 1.41/1.66 (define @t21 () (not (forall @t20 (= (_ (_ tptp.sub @t19) @t13) (_ (_ @t4 @t18) @t15))))) % 1.41/1.66 (define @t22 () (@list @t4)) % 1.41/1.66 (define @t23 () (not (forall @t22 (or @t21 @t12 @t7)))) % 1.41/1.66 (define @t24 () (@var "B" tptp.term)) % 1.41/1.66 (define @t25 () (_ @t14 tptp.id)) % 1.41/1.66 (define @t26 () (_ tptp.ap @t25)) % 1.41/1.66 (define @t27 () (not (_ (_ @t3 @t24) tptp.id))) % 1.41/1.66 (define @t28 () (@list @t8 @t24)) % 1.41/1.66 (define @t29 () (not (forall @t28 (or @t10 @t27 (_ (_ @t3 (_ @t26 @t24)) tptp.id))))) % 1.41/1.66 (define @t30 () (@var "K" tptp.subst)) % 1.41/1.66 (define @t31 () (_ (_ (_ @t2 @t16) @t8) (_ (_ tptp.comp @t30) @t13))) % 1.41/1.66 (define @t32 () (_ (_ (_ @t2 (_ @t17 @t30)) (_ @t14 @t30)) @t13)) % 1.41/1.66 (define @t33 () (@list @t16 @t8 @t13 @t30)) % 1.41/1.66 (define @t34 () (not (forall @t33 (or (not @t32) @t31)))) % 1.41/1.66 (define @t35 () (not (forall @t33 (or (not @t31) @t32)))) % 1.41/1.66 (define @t36 () (forall (@list @t2 @t1) (or @t35 @t34 (not (forall @t11 (or (not (_ tptp.var @t25)) @t9))) @t29 @t23 (_ (_ @t3 @t1) tptp.id)))) % 1.41/1.66 (define @t37 () (@var "Bound_variable_2931" tptp.term)) % 1.41/1.66 (define @t38 () (@var "Q" (-> tptp.term Bool))) % 1.41/1.66 (define @t39 () (_ tptp.push @t24)) % 1.41/1.66 (define @t40 () (_ @t39 tptp.id)) % 1.41/1.66 (define @t41 () (not (_ @t38 @t24))) % 1.41/1.66 (define @t42 () (@list @t24)) % 1.41/1.66 (define @t43 () (@var "X" tptp.term)) % 1.41/1.66 (define @t44 () (_ @t38 @t43)) % 1.41/1.66 (define @t45 () (@list @t43)) % 1.41/1.66 (define @t46 () (forall @t45 (= @t44 (_ (_ @t3 @t43) tptp.id)))) % 1.41/1.66 (define @t47 () (not @t46)) % 1.41/1.66 (define @t48 () (forall (@list @t2 @t38 @t37) (or @t23 @t47 (not (forall @t42 (or @t41 (_ @t38 (_ (_ tptp.sub @t37) @t40))))) (_ @t38 (_ tptp.lam @t37))))) % 1.41/1.66 (define @t49 () (forall @t11 (= @t8 @t25))) % 1.41/1.66 (define @t50 () (@var "Bound_variable_2367" tptp.term)) % 1.41/1.66 (define @t51 () (@var "P" (-> tptp.term Bool))) % 1.41/1.66 (define @t52 () (_ tptp.lam @t8)) % 1.41/1.66 (define @t53 () (_ @t51 @t52)) % 1.41/1.66 (define @t54 () (not (_ @t51 @t24))) % 1.41/1.66 (define @t55 () (not (forall @t11 (or (not (forall @t42 (or @t54 (_ @t51 (_ @t14 @t40))))) @t53)))) % 1.41/1.66 (define @t56 () (_ tptp.ap @t8)) % 1.41/1.66 (define @t57 () (_ @t51 @t8)) % 1.41/1.66 (define @t58 () (not @t57)) % 1.41/1.66 (define @t59 () (not (forall @t28 (or @t58 @t54 (_ @t51 (_ @t56 @t24)))))) % 1.41/1.66 (define @t60 () (not (forall @t11 (or (not (_ tptp.var @t8)) @t57)))) % 1.41/1.66 (define @t61 () (forall (@list @t51 @t50) (or @t60 @t59 @t55 (_ @t51 @t50)))) % 1.41/1.66 (define @t62 () (@list @t38)) % 1.41/1.66 (define @t63 () (forall (@list @t2) (not (forall @t62 @t47)))) % 1.41/1.66 (define @t64 () (@var "Bound_variable_2910" tptp.term)) % 1.41/1.66 (define @t65 () (forall (@list @t2 @t38 @t64) (or @t35 @t34 @t23 @t47 (not (forall @t42 (or @t41 (_ @t38 (_ (_ tptp.sub @t64) @t40))))) (_ @t38 (_ tptp.lam @t64))))) % 1.41/1.66 (define @t66 () (_ (_ tptp.push @t8) @t16)) % 1.41/1.66 (define @t67 () (forall @t45 (= @t44 (_ @t51 (_ (_ tptp.sub @t43) @t66))))) % 1.41/1.66 (define @t68 () (not @t67)) % 1.41/1.66 (define @t69 () (forall (@list @t51 @t8 @t16) (not (forall @t62 @t68)))) % 1.41/1.66 (define @t70 () (_ tptp.comp tptp.sh)) % 1.41/1.66 (define @t71 () (@list @t8 @t16)) % 1.41/1.66 (define @t72 () (forall @t71 (= @t16 (_ @t70 @t66)))) % 1.41/1.66 (define @t73 () (@var "K" (-> tptp.term Bool))) % 1.41/1.66 (define @t74 () (forall (@list @t51 @t73 @t8 @t16 @t24) (or @t58 (_ @t73 (_ @t14 (_ @t39 @t16)))))) % 1.41/1.66 (define @t75 () (_ tptp.sub tptp.one)) % 1.41/1.66 (define @t76 () (forall @t71 (= @t8 (_ @t75 @t66)))) % 1.41/1.66 (define @t77 () (@var "Bound_variable_2605" tptp.term)) % 1.41/1.66 (define @t78 () (@var "Bound_variable_2603" tptp.term)) % 1.41/1.66 (define @t79 () (_ tptp.d2subst tptp.d_id)) % 1.41/1.66 (define @t80 () (_ tptp.d2term tptp.d_one)) % 1.41/1.66 (define @t81 () (@var "Bound_variable_3295" tptp.term)) % 1.41/1.66 (define @t82 () (forall (@list @t2 @t81) (or @t29 @t23 (_ (_ @t3 @t81) tptp.id)))) % 1.41/1.66 (define @t83 () (@var "Bound_variable_3232" tptp.term)) % 1.41/1.66 (define @t84 () (forall (@list @t2 @t83) (or @t23 (not (forall @t42 (or @t27 (_ (_ @t3 (_ (_ tptp.sub @t83) @t40)) tptp.id)))) (_ (_ @t3 (_ tptp.lam @t83)) tptp.id)))) % 1.41/1.66 (define @t85 () (@list @t16)) % 1.41/1.66 (define @t86 () (forall @t85 (= @t16 (_ @t17 tptp.id)))) % 1.41/1.66 (define @t87 () (forall @t85 (= @t16 (_ (_ tptp.comp tptp.id) @t16)))) % 1.41/1.66 (define @t88 () (and @t87 @t86)) % 1.41/1.66 (define @t89 () (_ (_ tptp.push tptp.one) tptp.sh)) % 1.41/1.66 (define @t90 () (_ tptp.sub @t24)) % 1.41/1.66 (define @t91 () (forall @t42 (not (forall @t22 (not (= @t5 (_ @t90 @t89))))))) % 1.41/1.66 (define @t92 () (@var "Bound_variable_2342" tptp.subst)) % 1.41/1.66 (define @t93 () (@var "Bound_variable_2340" tptp.term)) % 1.41/1.66 (define @t94 () (forall (@list @t51 @t93 @t92) (or @t59 @t55 (not (forall @t42 (or (not (_ tptp.var @t24)) (_ @t51 (_ @t90 @t92))))) (_ @t51 (_ (_ tptp.sub @t93) @t92))))) % 1.41/1.66 (define @t95 () (forall @t42 (not (forall @t22 (not (forall @t71 (= (_ @t90 @t66) @t19))))))) % 1.41/1.66 (define @t96 () (@var "Bound_variable_3211" tptp.term)) % 1.41/1.66 (define @t97 () (forall (@list @t2 @t96) (or @t35 @t34 @t23 (not (forall @t42 (or @t27 (_ (_ @t3 (_ (_ tptp.sub @t96) @t40)) tptp.id)))) (_ (_ @t3 (_ tptp.lam @t96)) tptp.id)))) % 1.41/1.66 (define @t98 () (@var "Bound_variable_3046" tptp.term)) % 1.41/1.66 (define @t99 () (_ tptp.sub @t98)) % 1.41/1.66 (define @t100 () (forall (@list @t2 @t98) (or @t23 (not (forall @t42 (or @t27 (_ (_ @t3 (_ @t99 @t40)) tptp.id)))) (_ (_ @t3 (_ tptp.lam (_ @t99 @t89))) tptp.id)))) % 1.41/1.66 (define @t101 () (= @t8 @t24)) % 1.41/1.66 (define @t102 () (forall @t28 (or (not (= @t52 (_ tptp.lam @t24))) @t101))) % 1.41/1.66 (define @t103 () (@var "Bound_variable_2551" tptp.term)) % 1.41/1.66 (define @t104 () (@var "Bound_variable_2549" tptp.subst)) % 1.41/1.66 (define @t105 () (@var "Bound_variable_2547" (-> tptp.subst tptp.term tptp.term))) % 1.41/1.66 (define @t106 () (forall (@list @t4 @t105 @t104 @t103) (or @t21 (not (forall @t20 (= (_ (_ tptp.sub (_ (_ @t105 @t16) @t8)) @t13) (_ (_ @t105 @t18) @t15)))) (not (= @t6 (_ tptp.lam (_ (_ @t105 tptp.sh) tptp.one)))) (= (_ (_ @t4 @t104) @t103) (_ (_ @t105 @t104) @t103))))) % 1.41/1.66 (define @t107 () (@var "D" tptp.term)) % 1.41/1.66 (define @t108 () (@var "C" tptp.term)) % 1.41/1.66 (define @t109 () (not (= (_ @t26 @t108) (_ (_ tptp.ap (_ @t90 tptp.id)) @t107)))) % 1.41/1.66 (define @t110 () (@list @t8 @t24 @t108 @t107)) % 1.41/1.66 (define @t111 () (forall @t110 (or @t109 @t101))) % 1.41/1.66 (define @t112 () (not (= (_ @t56 @t108) (_ (_ tptp.ap @t24) @t107)))) % 1.41/1.66 (define @t113 () (forall @t110 (or @t112 @t101))) % 1.41/1.66 (define @t114 () (= @t108 @t107)) % 1.41/1.66 (define @t115 () (forall @t110 (or @t109 @t114))) % 1.41/1.66 (define @t116 () (forall @t110 (or @t112 @t114))) % 1.41/1.66 (define @t117 () (@var "Bound_variable_2822" tptp.term)) % 1.41/1.66 (define @t118 () (@var "Bound_variable_2820" tptp.term)) % 1.41/1.66 (define @t119 () (@var "Bound_variable_2140" tptp.term)) % 1.41/1.66 (define @t120 () (forall (@list @t51 @t119) (or @t60 @t59 (not (forall @t11 (or @t58 @t53))) (_ @t51 @t119)))) % 1.41/1.66 (define @t121 () (forall (@list @t51 @t38 @t8 @t16) (or @t58 @t68 (_ @t38 tptp.one)))) % 1.41/1.66 (define @t122 () (@var "Bound_variable_3001" tptp.term)) % 1.41/1.66 (define @t123 () (@var "Bound_variable_2999" tptp.term)) % 1.41/1.66 (define @t124 () (forall (@list @t2 @t123 @t122) (or @t35 @t34 @t29 (not (_ (_ @t3 @t123) tptp.id)) (not (_ (_ @t3 @t122) tptp.id)) (_ (_ @t3 (_ (_ tptp.ap @t123) @t122)) tptp.id)))) % 1.41/1.66 (define @t125 () (@var "Bound_variable_3171" tptp.term)) % 1.41/1.66 (define @t126 () (_ tptp.sub @t125)) % 1.41/1.66 (define @t127 () (@var "Bound_variable_3094" tptp.subst)) % 1.41/1.66 (define @t128 () (@var "Bound_variable_3090" tptp.subst)) % 1.41/1.66 (define @t129 () (_ (_ tptp.comp @t128) @t127)) % 1.41/1.66 (define @t130 () (@var "Bound_variable_3092" tptp.term)) % 1.41/1.66 (define @t131 () (_ (_ tptp.sub @t130) @t127)) % 1.41/1.66 (define @t132 () (@var "Bound_variable_3149" tptp.term)) % 1.41/1.66 (define @t133 () (_ tptp.sub @t132)) % 1.41/1.66 (define @t134 () (@var "Bound_variable_3076" tptp.subst)) % 1.41/1.66 (define @t135 () (@var "Bound_variable_3072" tptp.subst)) % 1.41/1.66 (define @t136 () (@var "Bound_variable_3074" tptp.term)) % 1.41/1.66 (define @t137 () (_ (_ tptp.sub @t80) @t79)) % 1.41/1.66 (define @t138 () (@var "DS2" tptp.d_subst)) % 1.41/1.66 (define @t139 () (@var "DS1" tptp.d_subst)) % 1.41/1.66 (define @t140 () (@var "DS" tptp.d_subst)) % 1.41/1.66 (define @t141 () (@list @t140)) % 1.41/1.66 (define @t142 () (forall @t141 (= @t140 tptp.d_id))) % 1.41/1.66 (define @t143 () (_ tptp.d2subst @t140)) % 1.41/1.66 (define @t144 () (@var "S" tptp.subst)) % 1.41/1.66 (define @t145 () (= @t144 @t143)) % 1.41/1.66 (define @t146 () (exists @t141 @t145)) % 1.41/1.66 (define @t147 () (@list @t144)) % 1.41/1.66 (define @t148 () (forall @t147 @t146)) % 1.41/1.66 (define @t149 () (@var "DT2" tptp.d_term)) % 1.41/1.66 (define @t150 () (@var "DT1" tptp.d_term)) % 1.41/1.66 (define @t151 () (@var "DT" tptp.d_term)) % 1.41/1.66 (define @t152 () (@list @t151)) % 1.41/1.66 (define @t153 () (forall @t152 (= @t151 tptp.d_one))) % 1.41/1.66 (define @t154 () (_ tptp.d2term @t151)) % 1.41/1.66 (define @t155 () (@var "T" tptp.term)) % 1.41/1.66 (define @t156 () (= @t155 @t154)) % 1.41/1.66 (define @t157 () (exists @t152 @t156)) % 1.41/1.66 (define @t158 () (@list @t155)) % 1.41/1.66 (define @t159 () (forall @t158 @t157)) % 1.41/1.66 (define @t160 () (_ @t14 @t18)) % 1.41/1.66 (define @t161 () (_ @t14 @t16)) % 1.41/1.66 (define @t162 () (_ (_ tptp.sub @t161) @t13)) % 1.41/1.66 (define @t163 () (= @t162 @t160)) % 1.41/1.66 (define @t164 () (@list @t8 @t16 @t13)) % 1.41/1.66 (define @t165 () (forall @t164 @t163)) % 1.41/1.66 (define @t166 () (= tptp.axclos @t165)) % 1.41/1.66 (define @t167 () (not @t166)) % 1.41/1.66 (define @t168 () (tptp.d2subst tptp.d_id)) % 1.41/1.66 (define @t169 () (tptp.d2term tptp.d_one)) % 1.41/1.66 (define @t170 () (tptp.sub @t169 @t168)) % 1.41/1.66 (define @t171 () (tptp.comp @t16 @t13)) % 1.41/1.66 (define @t172 () (tptp.sub @t8 @t171)) % 1.41/1.66 (define @t173 () (tptp.sub @t8 @t16)) % 1.41/1.66 (define @t174 () (tptp.sub @t173 @t13)) % 1.41/1.66 (define @t175 () (forall @t164 (= @t174 @t172))) % 1.41/1.66 (define @t176 () (= tptp.axclos @t175)) % 1.41/1.66 (define @t177 () (tptp.d2term @t151)) % 1.41/1.66 (define @t178 () (not @t156)) % 1.41/1.66 (define @t179 () (forall @t152 @t178)) % 1.41/1.66 (define @t180 () (not @t179)) % 1.41/1.66 (define @t181 () (@const 0 tptp.subst)) % 1.41/1.66 (define @t182 () (@quantifiers_skolemize @t175 0)) % 1.41/1.66 (define @t183 () (tptp.sub @t182 @t181)) % 1.41/1.66 (define @t184 () (not (= @t183 @t177))) % 1.41/1.66 (define @t185 () (forall @t152 @t184)) % 1.41/1.66 (define @t186 () (not @t185)) % 1.41/1.66 (define @t187 () (forall @t158 (not (forall @t152 (not (= @t155 @t177)))))) % 1.41/1.66 (define @t188 () (forall @t152 (not (= @t177 @t183)))) % 1.41/1.66 (define @t189 () (not @t188)) % 1.41/1.66 (define @t190 () (@list false)) % 1.41/1.66 (define @t191 () (@list @t187)) % 1.41/1.66 (define @t192 () (@quantifiers_skolemize @t188 0)) % 1.41/1.66 (define @t193 () (tptp.d2term @t192)) % 1.41/1.66 (define @t194 () (= @t183 @t193)) % 1.41/1.66 (define @t195 () (= @t193 @t183)) % 1.41/1.66 (define @t196 () (not (not @t195))) % 1.41/1.66 (define @t197 () (@list true)) % 1.41/1.66 (define @t198 () (tptp.d2subst @t140)) % 1.41/1.66 (define @t199 () (not @t145)) % 1.41/1.66 (define @t200 () (forall @t141 @t199)) % 1.41/1.66 (define @t201 () (not @t200)) % 1.41/1.66 (define @t202 () (@const 1 tptp.subst)) % 1.41/1.66 (define @t203 () (not (= @t202 @t198))) % 1.41/1.66 (define @t204 () (forall @t141 @t203)) % 1.41/1.66 (define @t205 () (not @t204)) % 1.41/1.66 (define @t206 () (forall @t147 (not (forall @t141 (not (= @t144 @t198)))))) % 1.41/1.66 (define @t207 () (forall @t141 (not (= @t198 @t202)))) % 1.41/1.66 (define @t208 () (not @t207)) % 1.41/1.66 (define @t209 () (@list @t206)) % 1.41/1.66 (define @t210 () (@quantifiers_skolemize @t207 0)) % 1.41/1.66 (define @t211 () (tptp.d2subst @t210)) % 1.41/1.66 (define @t212 () (= @t202 @t211)) % 1.41/1.66 (define @t213 () (= @t211 @t202)) % 1.41/1.66 (define @t214 () (not (not @t213))) % 1.41/1.66 (define @t215 () (@quantifiers_skolemize @t175 1)) % 1.41/1.66 (define @t216 () (tptp.comp @t215 @t202)) % 1.41/1.66 (define @t217 () (not (= @t216 @t198))) % 1.41/1.66 (define @t218 () (forall @t141 @t217)) % 1.41/1.66 (define @t219 () (not @t218)) % 1.41/1.66 (define @t220 () (forall @t141 (not (= @t198 @t216)))) % 1.41/1.66 (define @t221 () (not @t220)) % 1.41/1.66 (define @t222 () (@quantifiers_skolemize @t220 0)) % 1.41/1.66 (define @t223 () (tptp.d2subst @t222)) % 1.41/1.66 (define @t224 () (= @t216 @t223)) % 1.41/1.66 (define @t225 () (= @t223 @t216)) % 1.41/1.66 (define @t226 () (not (not @t225))) % 1.41/1.66 (define @t227 () (@quantifiers_skolemize @t175 2)) % 1.41/1.66 (define @t228 () (not (= @t227 @t198))) % 1.41/1.66 (define @t229 () (forall @t141 @t228)) % 1.41/1.66 (define @t230 () (not @t229)) % 1.41/1.66 (define @t231 () (forall @t141 (not (= @t198 @t227)))) % 1.41/1.66 (define @t232 () (not @t231)) % 1.41/1.66 (define @t233 () (@quantifiers_skolemize @t231 0)) % 1.41/1.66 (define @t234 () (tptp.d2subst @t233)) % 1.41/1.66 (define @t235 () (= @t227 @t234)) % 1.41/1.66 (define @t236 () (= @t234 @t227)) % 1.41/1.66 (define @t237 () (not (not @t236))) % 1.41/1.66 (define @t238 () (tptp.sub @t182 @t215)) % 1.41/1.66 (define @t239 () (not (= @t238 @t177))) % 1.41/1.66 (define @t240 () (forall @t152 @t239)) % 1.41/1.66 (define @t241 () (not @t240)) % 1.41/1.66 (define @t242 () (forall @t152 (not (= @t177 @t238)))) % 1.41/1.66 (define @t243 () (not @t242)) % 1.41/1.66 (define @t244 () (@quantifiers_skolemize @t242 0)) % 1.41/1.66 (define @t245 () (tptp.d2term @t244)) % 1.41/1.66 (define @t246 () (= @t238 @t245)) % 1.41/1.66 (define @t247 () (= @t245 @t238)) % 1.41/1.66 (define @t248 () (not (not @t247))) % 1.41/1.66 (define @t249 () (not (= @t181 @t198))) % 1.41/1.66 (define @t250 () (forall @t141 @t249)) % 1.41/1.66 (define @t251 () (not @t250)) % 1.41/1.66 (define @t252 () (forall @t141 (not (= @t198 @t181)))) % 1.41/1.66 (define @t253 () (not @t252)) % 1.41/1.66 (define @t254 () (@quantifiers_skolemize @t252 0)) % 1.41/1.66 (define @t255 () (tptp.d2subst @t254)) % 1.41/1.66 (define @t256 () (= @t181 @t255)) % 1.41/1.66 (define @t257 () (= @t255 @t181)) % 1.41/1.66 (define @t258 () (not (not @t257))) % 1.41/1.66 (define @t259 () (= @t169 @t170)) % 1.41/1.66 (define @t260 () (= tptp.d_one @t192)) % 1.41/1.66 (define @t261 () (= tptp.d_id @t210)) % 1.41/1.66 (define @t262 () (= tptp.d_id @t222)) % 1.41/1.66 (define @t263 () (= tptp.d_id @t233)) % 1.41/1.66 (define @t264 () (= tptp.d_one @t244)) % 1.41/1.66 (define @t265 () (= tptp.d_id @t254)) % 1.41/1.66 (define @t266 () (tptp.sub @t238 @t227)) % 1.41/1.66 (define @t267 () (= @t266 (tptp.sub @t182 (tptp.comp @t215 @t227)))) % 1.41/1.66 (define @t268 () (and @t259 @t194 @t212 @t260 @t261 @t224 @t262 @t235 @t263 @t246 @t256 @t264 @t265)) % 1.41/1.66 (assume @p1 (and @t159 @t153 (forall (@list @t150 @t149) (=> (= (_ tptp.d2term @t150) (_ tptp.d2term @t149)) (= @t150 @t149))) @t148 @t142 (forall (@list @t139 @t138) (=> (= (_ tptp.d2subst @t139) (_ tptp.d2subst @t138)) (= @t139 @t138))) (= tptp.one @t80) (= (_ (_ tptp.ap @t80) @t80) @t80) (= (_ tptp.lam @t80) @t80) (= @t137 @t80) (= tptp.id @t79) (= tptp.sh @t79) (= (_ (_ tptp.push @t80) @t79) @t79) (= (_ (_ tptp.comp @t79) @t79) @t79) (= (_ (_ (_ (_ tptp.hoasap @t79) @t80) @t79) @t80) @t80) (= tptp.hoaslam (lambda (@list (@var "Bound_variable_4913" tptp.subst) (@var "Bound_variable_4915" (-> tptp.subst tptp.term tptp.term))) @t80)) (= tptp.hoasinduction_p_and_p_prime (lambda (@list @t2 @t38) @t46)) (= tptp.pushprop_p_and_p_prime (lambda (@list @t8 @t16 @t51 @t38) @t67)) (not (_ tptp.var @t80)) (= tptp.pushprop_lem1v2 @t121) tptp.pushprop_lem1_gthm tptp.axmap tptp.pushprop_lem0_gthm (= tptp.shinj (forall @t28 (or (not (= (_ @t14 tptp.sh) (_ @t90 tptp.sh))) @t101))) tptp.hoasinduction_lem1v2 tptp.hoasinduction_lem1v2_gthm (= tptp.induction2lem @t94) (= tptp.hoasinduction_lem3v2_f @t95) tptp.axvarshift (= tptp.hoasapinj2 @t115) tptp.hoasapnotvar_gthm (= tptp.hoasapinj1 @t111) (not tptp.ulamvar1) (= tptp.induction2lem_lthm (=> @t76 (=> @t72 (=> @t86 (=> @t120 @t94))))) tptp.hoasinduction_lem3v2_gthm tptp.apnotvar tptp.pushprop_lthm_orig (= tptp.hoasinduction_lem3v2_f_lthm @t95) (= tptp.hoasinduction_lthm (=> @t61 (=> @t124 (=> @t97 @t36)))) (= tptp.hoasinduction_no_psi_cond_lthm (=> @t63 (=> @t61 (=> @t49 (=> @t48 @t82))))) (= tptp.hoaslaminj @t106) (= tptp.hoasinduction_lem3aaa (forall (@list @t2 @t125) (or (not (forall (@list @t4 @t132) (or @t12 @t7 (not (forall (@list @t135 @t136 @t134) (= (_ (_ tptp.sub (_ (_ @t4 @t135) @t136)) @t134) (_ (_ tptp.sub (_ @t133 (_ (_ tptp.push @t136) @t135))) @t134)))) (not (forall (@list @t128 @t130 @t127) (= (_ (_ @t4 @t129) @t131) (_ @t133 (_ (_ tptp.push @t131) @t129)))))))) (not (forall @t42 (or @t27 (_ (_ @t3 (_ @t126 @t40)) tptp.id)))) (_ (_ @t3 (_ tptp.lam (_ @t126 @t89))) tptp.id)))) tptp.induction2lem_gthm (= tptp.hoasinduction_lem3aa_lthm @t100) (= tptp.hoasinduction_lem3 @t97) (= tptp.hoasinduction_lem2 @t124) (= tptp.termmset_lthm (=> @t49 @t49)) tptp.hoasinduction_lem1 tptp.hoaslamnotap_lthm (= tptp.pushprop_lem1v2_lthm (=> @t76 @t121)) tptp.hoasapnotvar (= tptp.hoasinduction_lem0 @t63) (= tptp.hoasinduction @t36) tptp.hoasinduction_gthm tptp.axapp tptp.hoaslamnotvar_lthm tptp.pushprop_lem3v2_lthm (= tptp.hoasinduction_lem3b_lthm @t91) tptp.ulamvarind (= tptp.induction @t120) (= tptp.hoasinduction_lem3a_lthm (=> @t49 (=> @t100 @t84))) tptp.termmset_gthm (= tptp.hoasinduction_lem3aa @t100) 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 @t38 @t118 @t117) (or @t35 @t34 @t29 @t47 (not (_ @t38 @t118)) (not (_ @t38 @t117)) (_ @t38 (_ (_ tptp.ap @t118) @t117))))) tptp.pushprop_lthm (= tptp.apinj2 @t116) (= tptp.apinj1 @t113) (= tptp.hoasapinj2_lthm (=> @t116 @t115)) (= tptp.hoasinduction_lem3v2a @t48) (= tptp.hoasapinj1_lthm (=> @t49 (=> @t113 @t111))) (= tptp.hoaslaminj_lthm (=> @t76 (=> @t72 (=> @t102 @t106)))) (= tptp.axvarcons @t76) (= tptp.axscons (forall @t85 (= @t16 (_ (_ tptp.push (_ @t75 @t16)) (_ @t70 @t16))))) tptp.hoasinduction_lem2v2_gthm (= tptp.axidr @t86) (= tptp.pushprop_lem1 @t74) (= tptp.laminj @t102) (= tptp.hoasinduction_lem3_lthm (=> @t49 (=> @t100 @t97))) (= tptp.pushprop_lem0 @t69) tptp.pushprop_gthm tptp.axabs (= tptp.hoasinduction_lem3v2a_lthm (=> @t95 (=> @t49 @t48))) tptp.hoasinduction_lem2_lthm tptp.hoasapinj2_gthm tptp.hoasinduction_lem1_lthm (not tptp.lamnotap) tptp.hoasapinj1_gthm tptp.hoaslamnotvar (= tptp.axidl @t87) tptp.hoaslaminj_gthm (= tptp.induction2_lthm (=> @t49 (=> @t94 @t61))) (= tptp.hoasinduction_lem0_lthm @t63) (= tptp.substmonoid_lthm (=> @t87 (=> @t86 @t88))) tptp.pushprop tptp.hoasinduction_lem3_gthm tptp.hoasinduction_lem2_gthm (= tptp.hoasinduction_lem3b @t91) (= tptp.substmonoid @t88) tptp.lamnotvar (= tptp.hoasinduction_lem3a @t84) tptp.hoasinduction_lem1_gthm (= tptp.hoasinduction_no_psi_cond @t82) tptp.induction2_gthm tptp.pushprop_lem2v2_lthm (not (_ (_ (_ tptp.hoasvar @t79) @t80) @t79)) (= tptp.hoaslamnotap (forall (@list @t4 @t78 @t77) (or @t21 (not (= @t6 (_ (_ tptp.ap (_ (_ tptp.sub @t78) tptp.id)) @t77)))))) tptp.substmonoid_gthm tptp.ulamvarsh (= tptp.induction2 @t61) tptp.pushprop_lem3v2 tptp.pushprop_lem2v2_gthm (= tptp.pushprop_lem1_lthm (=> @t76 (=> @t72 @t74))) (= tptp.hoasinduction_lem3v2 @t65) (= tptp.axshiftcons @t72) (= tptp.termmset @t49) (= tptp.pushprop_lem0_lthm @t69) tptp.hoasapnotvar_lthm (= tptp.hoasinduction_lem3v2_lthm (=> @t49 @t65)) (= tptp.axvarid @t49) (= tptp.hoasinduction_lthm_3 (=> @t63 (=> @t61 (=> @t49 (=> @t48 @t36))))))) % 1.41/1.66 (assume @p2 @t167) % 1.41/1.66 (assume @p3 true) % 1.41/1.66 (step @p4 :rule refl :args ((tptp.sub @t80 @t79))) % 1.41/1.66 (step @p5 :rule refl :args (@t168)) % 1.41/1.66 (step @p6 :rule refl :args (@t169)) % 1.41/1.66 (step @p7 :rule cong :premises (@p6 @p5) :args (@t170)) % 1.41/1.66 (step @p8 :rule trans :premises (@p7 @p4)) % 1.41/1.66 (step @p9 :rule refl :args (tptp.sub)) % 1.41/1.66 (step @p10 :rule ho_cong :premises (@p9 @p6)) % 1.41/1.66 (step @p11 :rule ho_cong :premises (@p10 @p5)) % 1.41/1.66 (step @p12 :rule cong :premises (@p11 @p8) :args ((= (_ (_ tptp.sub @t169) @t168) @t170))) % 1.41/1.66 (step @p13 :rule symm :premises (@p12)) % 1.41/1.66 (step @p14 :rule refl :args (@t137)) % 1.41/1.66 (step @p15 :rule eq_resolve :premises (@p14 @p13)) % 1.41/1.66 (step @p16 :rule refl :args (@t79)) % 1.41/1.66 (step @p17 :rule cong :premises (@p16 @p5) :args ((= @t79 @t168))) % 1.41/1.66 (step @p18 :rule symm :premises (@p17)) % 1.41/1.66 (step @p19 :rule eq_resolve :premises (@p16 @p18)) % 1.41/1.66 (step @p20 :rule refl :args (@t80)) % 1.41/1.66 (step @p21 :rule cong :premises (@p20 @p6) :args ((= @t80 @t169))) % 1.41/1.66 (step @p22 :rule symm :premises (@p21)) % 1.41/1.66 (step @p23 :rule eq_resolve :premises (@p20 @p22)) % 1.41/1.66 (step @p24 :rule refl :args (tptp.sub)) % 1.41/1.66 (step @p25 :rule ho_cong :premises (@p24 @p23)) % 1.41/1.66 (step @p26 :rule ho_cong :premises (@p25 @p19)) % 1.41/1.66 (step @p27 :rule trans :premises (@p26 @p15)) % 1.41/1.66 (step @p28 :rule cong :premises (@p23 @p27) :args ((= @t80 @t137))) % 1.41/1.66 (step @p29 :rule eq-symm :args (@t137 @t80)) % 1.41/1.66 (step @p30 :rule trans :premises (@p29 @p28)) % 1.41/1.66 (step @p31 :rule and_elim :premises (@p1) :args (9)) % 1.41/1.66 (step @p32 :rule eq_resolve :premises (@p31 @p30)) % 1.41/1.66 (step @p33 :rule bool-eq-true :args (@t175)) % 1.41/1.66 (step @p34 :rule eq-symm :args (true @t175)) % 1.41/1.66 (step @p35 :rule trans :premises (@p34 @p33)) % 1.41/1.66 (step @p36 :rule cong :premises (@p35) :args ((not (= true @t175)))) % 1.41/1.66 (step @p37 :rule refl :args (@t175)) % 1.41/1.66 (step @p38 :rule bool-eq-true :args (tptp.axclos)) % 1.41/1.66 (step @p39 :rule symm :premises (@p38)) % 1.41/1.66 (step @p40 :rule and_elim :premises (@p1) :args (69)) % 1.41/1.66 (step @p41 :rule eq_resolve :premises (@p40 @p39)) % 1.41/1.66 (step @p42 :rule cong :premises (@p41 @p37) :args (@t176)) % 1.41/1.66 (step @p43 :rule cong :premises (@p42) :args ((not @t176))) % 1.41/1.66 (step @p44 :rule trans :premises (@p43 @p36)) % 1.41/1.66 (step @p45 :rule refl :args ((tptp.sub @t8 @t18))) % 1.41/1.66 (step @p46 :rule refl :args (@t171)) % 1.41/1.66 (step @p47 :rule refl :args (@t8)) % 1.41/1.66 (step @p48 :rule cong :premises (@p47 @p46) :args (@t172)) % 1.41/1.66 (step @p49 :rule trans :premises (@p48 @p45)) % 1.41/1.66 (step @p50 :rule refl :args (@t14)) % 1.41/1.66 (step @p51 :rule ho_cong :premises (@p50 @p46)) % 1.41/1.66 (step @p52 :rule cong :premises (@p51 @p49) :args ((= (_ @t14 @t171) @t172))) % 1.41/1.66 (step @p53 :rule symm :premises (@p52)) % 1.41/1.66 (step @p54 :rule refl :args (@t160)) % 1.41/1.66 (step @p55 :rule eq_resolve :premises (@p54 @p53)) % 1.41/1.66 (step @p56 :rule refl :args (@t18)) % 1.41/1.66 (step @p57 :rule cong :premises (@p56 @p46) :args ((= @t18 @t171))) % 1.41/1.66 (step @p58 :rule symm :premises (@p57)) % 1.41/1.66 (step @p59 :rule eq_resolve :premises (@p56 @p58)) % 1.41/1.66 (step @p60 :rule ho_cong :premises (@p50 @p59)) % 1.41/1.66 (step @p61 :rule trans :premises (@p60 @p55)) % 1.41/1.66 (step @p62 :rule refl :args ((tptp.sub @t161 @t13))) % 1.41/1.66 (step @p63 :rule refl :args (@t13)) % 1.41/1.66 (step @p64 :rule refl :args (@t173)) % 1.41/1.66 (step @p65 :rule cong :premises (@p64 @p63) :args (@t174)) % 1.41/1.66 (step @p66 :rule trans :premises (@p65 @p62)) % 1.41/1.66 (step @p67 :rule ho_cong :premises (@p9 @p64)) % 1.41/1.66 (step @p68 :rule ho_cong :premises (@p67 @p63)) % 1.41/1.66 (step @p69 :rule cong :premises (@p68 @p66) :args ((= (_ (_ tptp.sub @t173) @t13) @t174))) % 1.41/1.66 (step @p70 :rule symm :premises (@p69)) % 1.41/1.66 (step @p71 :rule refl :args (@t162)) % 1.41/1.66 (step @p72 :rule eq_resolve :premises (@p71 @p70)) % 1.41/1.66 (step @p73 :rule refl :args (@t161)) % 1.41/1.66 (step @p74 :rule cong :premises (@p73 @p64) :args ((= @t161 @t173))) % 1.41/1.66 (step @p75 :rule symm :premises (@p74)) % 1.41/1.66 (step @p76 :rule eq_resolve :premises (@p73 @p75)) % 1.41/1.66 (step @p77 :rule ho_cong :premises (@p9 @p76)) % 1.41/1.66 (step @p78 :rule ho_cong :premises (@p77 @p63)) % 1.41/1.66 (step @p79 :rule trans :premises (@p78 @p72)) % 1.41/1.66 (step @p80 :rule cong :premises (@p79 @p61) :args (@t163)) % 1.41/1.66 (step @p81 :rule cong :premises (@p80) :args (@t165)) % 1.41/1.66 (step @p82 :rule refl :args (tptp.axclos)) % 1.41/1.66 (step @p83 :rule cong :premises (@p82 @p81) :args (@t166)) % 1.41/1.66 (step @p84 :rule cong :premises (@p83) :args (@t167)) % 1.41/1.66 (step @p85 :rule trans :premises (@p84 @p44)) % 1.41/1.66 (step @p86 :rule eq_resolve :premises (@p2 @p85)) % 1.41/1.66 (step @p87 :rule skolemize :premises (@p86)) % 1.41/1.66 (step @p88 :rule refl :args (@t177)) % 1.41/1.66 (step @p89 :rule refl :args (@t154)) % 1.41/1.66 (step @p90 :rule cong :premises (@p89 @p88) :args ((= @t154 @t177))) % 1.41/1.66 (step @p91 :rule symm :premises (@p90)) % 1.41/1.66 (step @p92 :rule eq_resolve :premises (@p89 @p91)) % 1.41/1.66 (step @p93 :rule refl :args (@t155)) % 1.41/1.66 (step @p94 :rule cong :premises (@p93 @p92) :args (@t156)) % 1.41/1.66 (step @p95 :rule cong :premises (@p94) :args (@t178)) % 1.41/1.66 (step @p96 :rule cong :premises (@p95) :args (@t179)) % 1.41/1.66 (step @p97 :rule cong :premises (@p96) :args (@t180)) % 1.41/1.66 (step @p98 :rule exists-elim :args ((= @t157 @t180))) % 1.41/1.66 (step @p99 :rule trans :premises (@p98 @p97)) % 1.41/1.66 (step @p100 :rule cong :premises (@p99) :args (@t159)) % 1.41/1.66 (step @p101 :rule and_elim :premises (@p1) :args (0)) % 1.41/1.66 (step @p102 :rule eq_resolve :premises (@p101 @p100)) % 1.41/1.66 (step @p103 :rule eq-symm :args (@t183 @t177)) % 1.41/1.66 (step @p104 :rule cong :premises (@p103) :args (@t184)) % 1.41/1.66 (step @p105 :rule cong :premises (@p104) :args (@t185)) % 1.41/1.66 (step @p106 :rule cong :premises (@p105) :args (@t186)) % 1.41/1.66 (step @p107 :rule refl :args (@t187)) % 1.41/1.66 (step @p108 :rule cong :premises (@p107 @p106) :args ((=> @t187 @t186))) % 1.41/1.66 (assume-push @p358 @t187) % 1.41/1.66 (step @p110 :rule instantiate :premises (@p102) :args ((@list @t183))) % 1.41/1.66 (step-pop @p359 :rule scope :premises (@p110)) % 1.41/1.66 (step @p111 :rule process_scope :premises (@p359) :args (@t186)) % 1.41/1.66 (step @p113 :rule eq_resolve :premises (@p111 @p108)) % 1.41/1.66 (step @p114 :rule implies_elim :premises (@p113)) % 1.41/1.66 (step @p115 :rule chain_m_resolution :premises (@p114 @p102) :args (@t189 @t190 @t191)) % 1.41/1.66 (step @p116 :rule refl :args (@t194)) % 1.41/1.66 (step @p117 :rule bool-double-not-elim :args (@t188)) % 1.41/1.66 (step @p118 :rule nary_cong :premises (@p117 @p116) :args ((or (not @t189) @t194))) % 1.41/1.66 (step @p119 :rule eq-symm :args (@t193 @t183)) % 1.41/1.66 (step @p120 :rule bool-double-not-elim :args (@t195)) % 1.41/1.66 (step @p121 :rule trans :premises (@p120 @p119)) % 1.41/1.66 (step @p122 :rule refl :args (@t189)) % 1.41/1.66 (step @p123 :rule cong :premises (@p122 @p121) :args ((=> @t189 @t196))) % 1.41/1.66 (assume-push @p360 @t189) % 1.41/1.66 (step @p125 :rule skolemize :premises (@p115)) % 1.41/1.66 (step-pop @p361 :rule scope :premises (@p125)) % 1.41/1.66 (step @p126 :rule process_scope :premises (@p361) :args (@t196)) % 1.41/1.66 (step @p128 :rule eq_resolve :premises (@p126 @p123)) % 1.41/1.66 (step @p129 :rule implies_elim :premises (@p128)) % 1.41/1.66 (step @p130 :rule eq_resolve :premises (@p129 @p118)) % 1.41/1.66 (step @p131 :rule chain_m_resolution :premises (@p130 @p115) :args (@t194 @t197 (@list @t188))) % 1.41/1.66 (step @p132 :rule refl :args (@t198)) % 1.41/1.66 (step @p133 :rule refl :args (@t143)) % 1.41/1.66 (step @p134 :rule cong :premises (@p133 @p132) :args ((= @t143 @t198))) % 1.41/1.66 (step @p135 :rule symm :premises (@p134)) % 1.41/1.66 (step @p136 :rule eq_resolve :premises (@p133 @p135)) % 1.41/1.66 (step @p137 :rule refl :args (@t144)) % 1.41/1.66 (step @p138 :rule cong :premises (@p137 @p136) :args (@t145)) % 1.41/1.66 (step @p139 :rule cong :premises (@p138) :args (@t199)) % 1.41/1.66 (step @p140 :rule cong :premises (@p139) :args (@t200)) % 1.41/1.66 (step @p141 :rule cong :premises (@p140) :args (@t201)) % 1.41/1.66 (step @p142 :rule exists-elim :args ((= @t146 @t201))) % 1.41/1.66 (step @p143 :rule trans :premises (@p142 @p141)) % 1.41/1.66 (step @p144 :rule cong :premises (@p143) :args (@t148)) % 1.41/1.66 (step @p145 :rule and_elim :premises (@p1) :args (3)) % 1.41/1.66 (step @p146 :rule eq_resolve :premises (@p145 @p144)) % 1.41/1.66 (step @p147 :rule eq-symm :args (@t202 @t198)) % 1.41/1.66 (step @p148 :rule cong :premises (@p147) :args (@t203)) % 1.41/1.66 (step @p149 :rule cong :premises (@p148) :args (@t204)) % 1.41/1.66 (step @p150 :rule cong :premises (@p149) :args (@t205)) % 1.41/1.66 (step @p151 :rule refl :args (@t206)) % 1.41/1.66 (step @p152 :rule cong :premises (@p151 @p150) :args ((=> @t206 @t205))) % 1.41/1.66 (assume-push @p362 @t206) % 1.41/1.66 (step @p154 :rule instantiate :premises (@p146) :args ((@list @t202))) % 1.41/1.66 (step-pop @p363 :rule scope :premises (@p154)) % 1.41/1.66 (step @p155 :rule process_scope :premises (@p363) :args (@t205)) % 1.41/1.66 (step @p157 :rule eq_resolve :premises (@p155 @p152)) % 1.41/1.66 (step @p158 :rule implies_elim :premises (@p157)) % 1.41/1.66 (step @p159 :rule chain_m_resolution :premises (@p158 @p146) :args (@t208 @t190 @t209)) % 1.41/1.66 (step @p160 :rule refl :args (@t212)) % 1.41/1.66 (step @p161 :rule bool-double-not-elim :args (@t207)) % 1.41/1.66 (step @p162 :rule nary_cong :premises (@p161 @p160) :args ((or (not @t208) @t212))) % 1.41/1.66 (step @p163 :rule eq-symm :args (@t211 @t202)) % 1.41/1.66 (step @p164 :rule bool-double-not-elim :args (@t213)) % 1.41/1.66 (step @p165 :rule trans :premises (@p164 @p163)) % 1.41/1.66 (step @p166 :rule refl :args (@t208)) % 1.41/1.66 (step @p167 :rule cong :premises (@p166 @p165) :args ((=> @t208 @t214))) % 1.41/1.66 (assume-push @p364 @t208) % 1.41/1.66 (step @p169 :rule skolemize :premises (@p159)) % 1.41/1.66 (step-pop @p365 :rule scope :premises (@p169)) % 1.41/1.66 (step @p170 :rule process_scope :premises (@p365) :args (@t214)) % 1.41/1.66 (step @p172 :rule eq_resolve :premises (@p170 @p167)) % 1.41/1.66 (step @p173 :rule implies_elim :premises (@p172)) % 1.41/1.66 (step @p174 :rule eq_resolve :premises (@p173 @p162)) % 1.41/1.66 (step @p175 :rule chain_m_resolution :premises (@p174 @p159) :args (@t212 @t197 (@list @t207))) % 1.41/1.66 (step @p176 :rule eq-symm :args (@t151 tptp.d_one)) % 1.41/1.66 (step @p177 :rule cong :premises (@p176) :args (@t153)) % 1.41/1.66 (step @p178 :rule and_elim :premises (@p1) :args (1)) % 1.41/1.66 (step @p179 :rule eq_resolve :premises (@p178 @p177)) % 1.41/1.66 (step @p180 :rule instantiate :premises (@p179) :args ((@list @t192))) % 1.41/1.66 (step @p181 :rule eq-symm :args (@t140 tptp.d_id)) % 1.41/1.66 (step @p182 :rule cong :premises (@p181) :args (@t142)) % 1.41/1.66 (step @p183 :rule and_elim :premises (@p1) :args (4)) % 1.41/1.66 (step @p184 :rule eq_resolve :premises (@p183 @p182)) % 1.41/1.66 (step @p185 :rule instantiate :premises (@p184) :args ((@list @t210))) % 1.41/1.66 (step @p186 :rule eq-symm :args (@t216 @t198)) % 1.41/1.66 (step @p187 :rule cong :premises (@p186) :args (@t217)) % 1.41/1.66 (step @p188 :rule cong :premises (@p187) :args (@t218)) % 1.41/1.66 (step @p189 :rule cong :premises (@p188) :args (@t219)) % 1.41/1.66 (step @p190 :rule cong :premises (@p151 @p189) :args ((=> @t206 @t219))) % 1.41/1.66 (assume-push @p366 @t206) % 1.41/1.66 (step @p192 :rule instantiate :premises (@p146) :args ((@list @t216))) % 1.41/1.66 (step-pop @p367 :rule scope :premises (@p192)) % 1.41/1.66 (step @p193 :rule process_scope :premises (@p367) :args (@t219)) % 1.41/1.66 (step @p195 :rule eq_resolve :premises (@p193 @p190)) % 1.41/1.66 (step @p196 :rule implies_elim :premises (@p195)) % 1.41/1.66 (step @p197 :rule chain_m_resolution :premises (@p196 @p146) :args (@t221 @t190 @t209)) % 1.41/1.66 (step @p198 :rule refl :args (@t224)) % 1.41/1.66 (step @p199 :rule bool-double-not-elim :args (@t220)) % 1.41/1.66 (step @p200 :rule nary_cong :premises (@p199 @p198) :args ((or (not @t221) @t224))) % 1.41/1.66 (step @p201 :rule eq-symm :args (@t223 @t216)) % 1.41/1.66 (step @p202 :rule bool-double-not-elim :args (@t225)) % 1.41/1.66 (step @p203 :rule trans :premises (@p202 @p201)) % 1.41/1.66 (step @p204 :rule refl :args (@t221)) % 1.41/1.66 (step @p205 :rule cong :premises (@p204 @p203) :args ((=> @t221 @t226))) % 1.41/1.66 (assume-push @p368 @t221) % 1.41/1.66 (step @p207 :rule skolemize :premises (@p197)) % 1.41/1.66 (step-pop @p369 :rule scope :premises (@p207)) % 1.41/1.66 (step @p208 :rule process_scope :premises (@p369) :args (@t226)) % 1.41/1.66 (step @p210 :rule eq_resolve :premises (@p208 @p205)) % 1.41/1.66 (step @p211 :rule implies_elim :premises (@p210)) % 1.41/1.66 (step @p212 :rule eq_resolve :premises (@p211 @p200)) % 1.41/1.66 (step @p213 :rule chain_m_resolution :premises (@p212 @p197) :args (@t224 @t197 (@list @t220))) % 1.41/1.66 (step @p214 :rule instantiate :premises (@p184) :args ((@list @t222))) % 1.41/1.66 (step @p215 :rule eq-symm :args (@t227 @t198)) % 1.41/1.66 (step @p216 :rule cong :premises (@p215) :args (@t228)) % 1.41/1.66 (step @p217 :rule cong :premises (@p216) :args (@t229)) % 1.41/1.66 (step @p218 :rule cong :premises (@p217) :args (@t230)) % 1.41/1.66 (step @p219 :rule cong :premises (@p151 @p218) :args ((=> @t206 @t230))) % 1.41/1.66 (assume-push @p370 @t206) % 1.41/1.66 (step @p221 :rule instantiate :premises (@p146) :args ((@list @t227))) % 1.41/1.66 (step-pop @p371 :rule scope :premises (@p221)) % 1.41/1.66 (step @p222 :rule process_scope :premises (@p371) :args (@t230)) % 1.41/1.66 (step @p224 :rule eq_resolve :premises (@p222 @p219)) % 1.41/1.66 (step @p225 :rule implies_elim :premises (@p224)) % 1.41/1.66 (step @p226 :rule chain_m_resolution :premises (@p225 @p146) :args (@t232 @t190 @t209)) % 1.41/1.66 (step @p227 :rule refl :args (@t235)) % 1.41/1.66 (step @p228 :rule bool-double-not-elim :args (@t231)) % 1.41/1.66 (step @p229 :rule nary_cong :premises (@p228 @p227) :args ((or (not @t232) @t235))) % 1.41/1.66 (step @p230 :rule eq-symm :args (@t234 @t227)) % 1.41/1.66 (step @p231 :rule bool-double-not-elim :args (@t236)) % 1.41/1.66 (step @p232 :rule trans :premises (@p231 @p230)) % 1.41/1.66 (step @p233 :rule refl :args (@t232)) % 1.41/1.66 (step @p234 :rule cong :premises (@p233 @p232) :args ((=> @t232 @t237))) % 1.41/1.66 (assume-push @p372 @t232) % 1.41/1.66 (step @p236 :rule skolemize :premises (@p226)) % 1.41/1.66 (step-pop @p373 :rule scope :premises (@p236)) % 1.41/1.66 (step @p237 :rule process_scope :premises (@p373) :args (@t237)) % 1.41/1.66 (step @p239 :rule eq_resolve :premises (@p237 @p234)) % 1.41/1.66 (step @p240 :rule implies_elim :premises (@p239)) % 1.41/1.66 (step @p241 :rule eq_resolve :premises (@p240 @p229)) % 1.41/1.66 (step @p242 :rule chain_m_resolution :premises (@p241 @p226) :args (@t235 @t197 (@list @t231))) % 1.41/1.66 (step @p243 :rule instantiate :premises (@p184) :args ((@list @t233))) % 1.41/1.66 (step @p244 :rule eq-symm :args (@t238 @t177)) % 1.41/1.66 (step @p245 :rule cong :premises (@p244) :args (@t239)) % 1.41/1.66 (step @p246 :rule cong :premises (@p245) :args (@t240)) % 1.41/1.66 (step @p247 :rule cong :premises (@p246) :args (@t241)) % 1.41/1.66 (step @p248 :rule cong :premises (@p107 @p247) :args ((=> @t187 @t241))) % 1.41/1.66 (assume-push @p374 @t187) % 1.41/1.66 (step @p250 :rule instantiate :premises (@p102) :args ((@list @t238))) % 1.41/1.66 (step-pop @p375 :rule scope :premises (@p250)) % 1.41/1.66 (step @p251 :rule process_scope :premises (@p375) :args (@t241)) % 1.41/1.66 (step @p253 :rule eq_resolve :premises (@p251 @p248)) % 1.41/1.66 (step @p254 :rule implies_elim :premises (@p253)) % 1.41/1.66 (step @p255 :rule chain_m_resolution :premises (@p254 @p102) :args (@t243 @t190 @t191)) % 1.41/1.66 (step @p256 :rule refl :args (@t246)) % 1.41/1.66 (step @p257 :rule bool-double-not-elim :args (@t242)) % 1.41/1.66 (step @p258 :rule nary_cong :premises (@p257 @p256) :args ((or (not @t243) @t246))) % 1.41/1.66 (step @p259 :rule eq-symm :args (@t245 @t238)) % 1.41/1.66 (step @p260 :rule bool-double-not-elim :args (@t247)) % 1.41/1.66 (step @p261 :rule trans :premises (@p260 @p259)) % 1.41/1.66 (step @p262 :rule refl :args (@t243)) % 1.41/1.66 (step @p263 :rule cong :premises (@p262 @p261) :args ((=> @t243 @t248))) % 1.41/1.66 (assume-push @p376 @t243) % 1.41/1.66 (step @p265 :rule skolemize :premises (@p255)) % 1.41/1.66 (step-pop @p377 :rule scope :premises (@p265)) % 1.41/1.66 (step @p266 :rule process_scope :premises (@p377) :args (@t248)) % 1.41/1.66 (step @p268 :rule eq_resolve :premises (@p266 @p263)) % 1.41/1.66 (step @p269 :rule implies_elim :premises (@p268)) % 1.41/1.66 (step @p270 :rule eq_resolve :premises (@p269 @p258)) % 1.41/1.66 (step @p271 :rule chain_m_resolution :premises (@p270 @p255) :args (@t246 @t197 (@list @t242))) % 1.41/1.66 (step @p272 :rule eq-symm :args (@t181 @t198)) % 1.41/1.66 (step @p273 :rule cong :premises (@p272) :args (@t249)) % 1.41/1.66 (step @p274 :rule cong :premises (@p273) :args (@t250)) % 1.41/1.66 (step @p275 :rule cong :premises (@p274) :args (@t251)) % 1.41/1.66 (step @p276 :rule cong :premises (@p151 @p275) :args ((=> @t206 @t251))) % 1.41/1.66 (assume-push @p378 @t206) % 1.41/1.66 (step @p278 :rule instantiate :premises (@p146) :args ((@list @t181))) % 1.41/1.66 (step-pop @p379 :rule scope :premises (@p278)) % 1.41/1.66 (step @p279 :rule process_scope :premises (@p379) :args (@t251)) % 1.41/1.66 (step @p281 :rule eq_resolve :premises (@p279 @p276)) % 1.41/1.66 (step @p282 :rule implies_elim :premises (@p281)) % 1.41/1.66 (step @p283 :rule chain_m_resolution :premises (@p282 @p146) :args (@t253 @t190 @t209)) % 1.41/1.66 (step @p284 :rule refl :args (@t256)) % 1.41/1.66 (step @p285 :rule bool-double-not-elim :args (@t252)) % 1.41/1.66 (step @p286 :rule nary_cong :premises (@p285 @p284) :args ((or (not @t253) @t256))) % 1.41/1.66 (step @p287 :rule eq-symm :args (@t255 @t181)) % 1.41/1.66 (step @p288 :rule bool-double-not-elim :args (@t257)) % 1.41/1.66 (step @p289 :rule trans :premises (@p288 @p287)) % 1.41/1.66 (step @p290 :rule refl :args (@t253)) % 1.41/1.66 (step @p291 :rule cong :premises (@p290 @p289) :args ((=> @t253 @t258))) % 1.41/1.66 (assume-push @p380 @t253) % 1.41/1.66 (step @p293 :rule skolemize :premises (@p283)) % 1.41/1.66 (step-pop @p381 :rule scope :premises (@p293)) % 1.41/1.66 (step @p294 :rule process_scope :premises (@p381) :args (@t258)) % 1.41/1.66 (step @p296 :rule eq_resolve :premises (@p294 @p291)) % 1.41/1.66 (step @p297 :rule implies_elim :premises (@p296)) % 1.41/1.66 (step @p298 :rule eq_resolve :premises (@p297 @p286)) % 1.41/1.66 (step @p299 :rule chain_m_resolution :premises (@p298 @p283) :args (@t256 @t197 (@list @t252))) % 1.41/1.66 (step @p300 :rule instantiate :premises (@p179) :args ((@list @t244))) % 1.41/1.66 (step @p301 :rule instantiate :premises (@p184) :args ((@list @t254))) % 1.41/1.66 (assume-push @p382 @t259) % 1.41/1.66 (assume-push @p383 @t194) % 1.41/1.66 (assume-push @p384 @t212) % 1.41/1.66 (assume-push @p385 @t260) % 1.41/1.66 (assume-push @p386 @t261) % 1.41/1.66 (assume-push @p387 @t224) % 1.41/1.66 (assume-push @p388 @t262) % 1.41/1.66 (assume-push @p389 @t235) % 1.41/1.66 (assume-push @p390 @t263) % 1.41/1.66 (assume-push @p391 @t246) % 1.41/1.66 (assume-push @p392 @t256) % 1.41/1.66 (assume-push @p393 @t264) % 1.41/1.66 (assume-push @p394 @t265) % 1.41/1.66 (step @p315 :rule symm :premises (@p242)) % 1.41/1.66 (step @p316 :rule cong :premises (@p243) :args (@t168)) % 1.41/1.66 (step @p317 :rule symm :premises (@p185)) % 1.41/1.66 (step @p318 :rule cong :premises (@p317) :args (@t211)) % 1.41/1.66 (step @p319 :rule trans :premises (@p175 @p318 @p316 @p315)) % 1.41/1.66 (step @p320 :rule refl :args (@t215)) % 1.41/1.66 (step @p321 :rule cong :premises (@p320 @p319) :args (@t216)) % 1.41/1.66 (step @p322 :rule symm :premises (@p213)) % 1.41/1.66 (step @p323 :rule cong :premises (@p214) :args (@t168)) % 1.41/1.66 (step @p324 :rule symm :premises (@p301)) % 1.41/1.66 (step @p325 :rule cong :premises (@p324) :args (@t255)) % 1.41/1.66 (step @p326 :rule trans :premises (@p299 @p325 @p323 @p322 @p321)) % 1.41/1.66 (step @p327 :rule refl :args (@t182)) % 1.41/1.66 (step @p328 :rule cong :premises (@p327 @p326) :args (@t183)) % 1.41/1.66 (step @p329 :rule symm :premises (@p131)) % 1.41/1.66 (step @p330 :rule cong :premises (@p180) :args (@t169)) % 1.41/1.66 (step @p331 :rule symm :premises (@p32)) % 1.41/1.66 (step @p332 :rule symm :premises (@p316)) % 1.41/1.66 (step @p333 :rule trans :premises (@p242 @p332)) % 1.41/1.66 (step @p334 :rule symm :premises (@p300)) % 1.41/1.66 (step @p335 :rule cong :premises (@p334) :args (@t245)) % 1.41/1.66 (step @p336 :rule trans :premises (@p271 @p335)) % 1.41/1.66 (step @p337 :rule cong :premises (@p336 @p333) :args (@t266)) % 1.41/1.66 (step @p338 :rule trans :premises (@p337 @p331 @p330 @p329 @p328)) % 1.41/1.66 (step-pop @p395 :rule scope :premises (@p338)) % 1.41/1.66 (step-pop @p396 :rule scope :premises (@p395)) % 1.41/1.66 (step-pop @p397 :rule scope :premises (@p396)) % 1.41/1.66 (step-pop @p398 :rule scope :premises (@p397)) % 1.41/1.66 (step-pop @p399 :rule scope :premises (@p398)) % 1.41/1.66 (step-pop @p400 :rule scope :premises (@p399)) % 1.41/1.66 (step-pop @p401 :rule scope :premises (@p400)) % 1.41/1.66 (step-pop @p402 :rule scope :premises (@p401)) % 1.41/1.66 (step-pop @p403 :rule scope :premises (@p402)) % 1.41/1.66 (step-pop @p404 :rule scope :premises (@p403)) % 1.41/1.66 (step-pop @p405 :rule scope :premises (@p404)) % 1.41/1.66 (step-pop @p406 :rule scope :premises (@p405)) % 1.41/1.66 (step-pop @p407 :rule scope :premises (@p406)) % 1.41/1.66 (step @p339 :rule process_scope :premises (@p407) :args (@t267)) % 1.41/1.66 (step @p353 :rule implies_elim :premises (@p339)) % 1.41/1.66 (step @p354 :rule cnf_and_neg :args (@t268)) % 1.41/1.66 (step @p355 :rule resolution :premises (@p354 @p353) :args (true @t268)) % 1.41/1.66 (step @p356 :rule reordering :premises (@p355) :args ((or (not @t259) @t267 (not @t194) (not @t212) (not @t260) (not @t261) (not @t224) (not @t262) (not @t235) (not @t263) (not @t246) (not @t256) (not @t264) (not @t265)))) % 1.41/1.66 (step @p357 false :rule chain_m_resolution :premises (@p356 @p301 @p300 @p299 @p271 @p243 @p242 @p214 @p213 @p185 @p180 @p175 @p131 @p87 @p32) :args (false (@list false false false false false false false false false false false false true false) (@list @t265 @t264 @t256 @t246 @t263 @t235 @t262 @t224 @t261 @t260 @t212 @t194 @t267 @t259))) % 1.41/1.66 ) % 1.41/1.66 % SZS output end Proof % 1.41/1.66 % cvc5 exiting %------------------------------------------------------------------------------