%------------------------------------------------------------------------------ % 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 : n004.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 1.53s 1.75s % Output : Proof 1.53s % 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. % 0.14/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n004.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 23:01:52 EDT 2026 % 0.18/0.34 % CPUTime : % 0.30/0.56 %----Proving TH0 % 1.53/1.75 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 1.53/1.75 % SZS status Theorem % 1.53/1.75 % SZS output start Proof % 1.53/1.75 ( % 1.53/1.75 (declare-sort tptp.term 0) % 1.53/1.75 (declare-sort tptp.subst 0) % 1.53/1.75 (declare-sort tptp.d_term 0) % 1.53/1.75 (declare-sort tptp.d_subst 0) % 1.53/1.75 (declare-const tptp.hoasap (-> tptp.subst tptp.term tptp.subst tptp.term tptp.term)) % 1.53/1.75 (declare-const tptp.hoaslam (-> tptp.subst (-> tptp.subst tptp.term tptp.term) tptp.term)) % 1.53/1.75 (declare-const tptp.hoasinduction_p_and_p_prime (-> (-> tptp.subst tptp.term tptp.subst Bool) (-> tptp.term Bool) Bool)) % 1.53/1.75 (declare-const tptp.pushprop_lem1v2 Bool) % 1.53/1.75 (declare-const tptp.pushprop_lem1_gthm Bool) % 1.53/1.75 (declare-const tptp.axmap Bool) % 1.53/1.75 (declare-const tptp.pushprop_lem0_gthm Bool) % 1.53/1.75 (declare-const tptp.shinj Bool) % 1.53/1.75 (declare-const tptp.hoasinduction_lem1v2 Bool) % 1.53/1.75 (declare-const tptp.hoasinduction_lem1v2_gthm Bool) % 1.53/1.75 (declare-const tptp.induction2lem Bool) % 1.53/1.75 (declare-const tptp.hoasinduction_lem3v2_f Bool) % 1.53/1.75 (declare-const tptp.axvarshift Bool) % 1.53/1.75 (declare-const tptp.hoasapinj2 Bool) % 1.53/1.75 (declare-const tptp.hoasapnotvar_gthm Bool) % 1.53/1.75 (declare-const tptp.hoasapinj1 Bool) % 1.53/1.75 (declare-const tptp.ulamvar1 Bool) % 1.53/1.75 (declare-const tptp.induction2lem_lthm Bool) % 1.53/1.75 (declare-const tptp.hoasinduction_lem3v2_gthm Bool) % 1.53/1.75 (declare-const tptp.apnotvar Bool) % 1.53/1.75 (declare-const tptp.pushprop_lthm_orig Bool) % 1.53/1.75 (declare-const tptp.hoasinduction_lem3v2_f_lthm Bool) % 1.53/1.75 (declare-const tptp.hoasinduction_lthm Bool) % 1.53/1.75 (declare-const tptp.hoasinduction_no_psi_cond_lthm Bool) % 1.53/1.75 (declare-const tptp.hoaslaminj Bool) % 1.53/1.75 (declare-const tptp.hoasinduction_lem3aaa Bool) % 1.53/1.75 (declare-const tptp.induction2lem_gthm Bool) % 1.53/1.75 (declare-const tptp.hoasinduction_lem3aa_lthm Bool) % 1.53/1.75 (declare-const tptp.hoasinduction_lem3 Bool) % 1.53/1.75 (declare-const tptp.hoasinduction_lem2 Bool) % 1.53/1.75 (declare-const tptp.termmset_lthm Bool) % 1.53/1.75 (declare-const tptp.hoasinduction_lem1 Bool) % 1.53/1.75 (declare-const tptp.hoaslamnotap_lthm Bool) % 1.53/1.75 (declare-const tptp.pushprop_lem1v2_lthm Bool) % 1.53/1.75 (declare-const tptp.hoasapnotvar Bool) % 1.53/1.75 (declare-const tptp.hoasinduction_lem0 Bool) % 1.53/1.75 (declare-const tptp.hoasinduction Bool) % 1.53/1.75 (declare-const tptp.hoasinduction_gthm Bool) % 1.53/1.75 (declare-const tptp.axapp Bool) % 1.53/1.75 (declare-const tptp.hoaslamnotvar_lthm Bool) % 1.53/1.75 (declare-const tptp.pushprop_lem3v2_lthm Bool) % 1.53/1.75 (declare-const tptp.hoasinduction_lem3b_lthm Bool) % 1.53/1.75 (declare-const tptp.ulamvarind Bool) % 1.53/1.75 (declare-const tptp.induction Bool) % 1.53/1.75 (declare-const tptp.hoasinduction_lem3a_lthm Bool) % 1.53/1.75 (declare-const tptp.termmset_gthm Bool) % 1.53/1.75 (declare-const tptp.hoasinduction_lem3aa Bool) % 1.53/1.75 (declare-const tptp.pushprop_lem1v2_gthm Bool) % 1.53/1.75 (declare-const tptp.hoaslamnotap_gthm Bool) % 1.53/1.75 (declare-const tptp.hoaslamnotvar_gthm Bool) % 1.53/1.75 (declare-const tptp.hoasinduction_lem3b_gthm Bool) % 1.53/1.75 (declare-const tptp.pushprop_lem2v2 Bool) % 1.53/1.75 (declare-const tptp.hoasinduction_lem3a_gthm Bool) % 1.53/1.75 (declare-const tptp.axclos Bool) % 1.53/1.75 (declare-const tptp.axassoc Bool) % 1.53/1.75 (declare-const tptp.hoasinduction_lem2v2 Bool) % 1.53/1.75 (declare-const tptp.pushprop_lthm Bool) % 1.53/1.75 (declare-const tptp.apinj2 Bool) % 1.53/1.75 (declare-const tptp.apinj1 Bool) % 1.53/1.75 (declare-const tptp.hoasapinj2_lthm Bool) % 1.53/1.75 (declare-const tptp.hoasinduction_lem3v2a Bool) % 1.53/1.75 (declare-const tptp.hoasapinj1_lthm Bool) % 1.53/1.75 (declare-const tptp.hoaslaminj_lthm Bool) % 1.53/1.75 (declare-const tptp.axvarcons Bool) % 1.53/1.75 (declare-const tptp.axscons Bool) % 1.53/1.75 (declare-const tptp.hoasinduction_lem2v2_gthm Bool) % 1.53/1.75 (declare-const tptp.d_one tptp.d_term) % 1.53/1.75 (declare-const tptp.hoaslamnotap Bool) % 1.53/1.75 (declare-const tptp.ulamvarsh Bool) % 1.53/1.75 (declare-const tptp.pushprop_lem3v2 Bool) % 1.53/1.75 (declare-const tptp.axshiftcons Bool) % 1.53/1.75 (declare-const tptp.id tptp.subst) % 1.53/1.75 (declare-const tptp.pushprop_lem1_lthm Bool) % 1.53/1.75 (declare-const tptp.hoasvar (-> tptp.subst tptp.term tptp.subst Bool)) % 1.53/1.75 (declare-const tptp.pushprop_lem0_lthm Bool) % 1.53/1.75 (declare-const tptp.one tptp.term) % 1.53/1.75 (declare-const tptp.substmonoid_gthm Bool) % 1.53/1.75 (declare-const tptp.hoasinduction_lem3v2 Bool) % 1.53/1.75 (declare-const tptp.sh tptp.subst) % 1.53/1.75 (declare-const tptp.termmset Bool) % 1.53/1.75 (declare-const tptp.induction2 Bool) % 1.53/1.75 (declare-const tptp.pushprop_p_and_p_prime (-> tptp.term tptp.subst (-> tptp.term Bool) (-> tptp.term Bool) Bool)) % 1.53/1.75 (declare-const tptp.lam (-> tptp.term tptp.term)) % 1.53/1.75 (declare-const tptp.pushprop_lem2v2_gthm Bool) % 1.53/1.75 (declare-const tptp.ap (-> tptp.term tptp.term tptp.term)) % 1.53/1.75 (declare-const tptp.hoasinduction_lem3v2_lthm Bool) % 1.53/1.75 (declare-const tptp.axvarid Bool) % 1.53/1.75 (declare-const tptp.d_id tptp.d_subst) % 1.53/1.75 (declare-const tptp.var (-> tptp.term Bool)) % 1.53/1.75 (declare-const tptp.d2term (-> tptp.d_term tptp.term)) % 1.53/1.75 (declare-const tptp.push (-> tptp.term tptp.subst tptp.subst)) % 1.53/1.75 (declare-const tptp.hoasapnotvar_lthm Bool) % 1.53/1.75 (declare-const tptp.sub (-> tptp.term tptp.subst tptp.term)) % 1.53/1.75 (declare-const tptp.hoasinduction_lthm_3 Bool) % 1.53/1.75 (declare-const tptp.d2subst (-> tptp.d_subst tptp.subst)) % 1.53/1.75 (declare-const tptp.comp (-> tptp.subst tptp.subst tptp.subst)) % 1.53/1.75 (declare-const tptp.pushprop_lem2v2_lthm Bool) % 1.53/1.75 (declare-const tptp.induction2_gthm Bool) % 1.53/1.75 (declare-const tptp.hoasinduction_no_psi_cond Bool) % 1.53/1.75 (declare-const tptp.hoasinduction_lem1_gthm Bool) % 1.53/1.75 (declare-const tptp.hoasinduction_lem3a Bool) % 1.53/1.75 (declare-const tptp.lamnotvar Bool) % 1.53/1.75 (declare-const tptp.substmonoid Bool) % 1.53/1.75 (declare-const tptp.hoasinduction_lem3b Bool) % 1.53/1.75 (declare-const tptp.hoasinduction_lem2_gthm Bool) % 1.53/1.75 (declare-const tptp.hoasinduction_lem3_gthm Bool) % 1.53/1.75 (declare-const tptp.pushprop Bool) % 1.53/1.75 (declare-const tptp.substmonoid_lthm Bool) % 1.53/1.75 (declare-const tptp.hoasinduction_lem0_lthm Bool) % 1.53/1.75 (declare-const tptp.induction2_lthm Bool) % 1.53/1.75 (declare-const tptp.hoaslaminj_gthm Bool) % 1.53/1.75 (declare-const tptp.axidl Bool) % 1.53/1.75 (declare-const tptp.hoaslamnotvar Bool) % 1.53/1.75 (declare-const tptp.hoasapinj1_gthm Bool) % 1.53/1.75 (declare-const tptp.lamnotap Bool) % 1.53/1.75 (declare-const tptp.hoasinduction_lem1_lthm Bool) % 1.53/1.75 (declare-const tptp.hoasapinj2_gthm Bool) % 1.53/1.75 (declare-const tptp.hoasinduction_lem2_lthm Bool) % 1.53/1.75 (declare-const tptp.hoasinduction_lem3v2a_lthm Bool) % 1.53/1.75 (declare-const tptp.axabs Bool) % 1.53/1.75 (declare-const tptp.pushprop_gthm Bool) % 1.53/1.75 (declare-const tptp.pushprop_lem0 Bool) % 1.53/1.75 (declare-const tptp.hoasinduction_lem3_lthm Bool) % 1.53/1.75 (declare-const tptp.laminj Bool) % 1.53/1.75 (declare-const tptp.pushprop_lem1 Bool) % 1.53/1.75 (declare-const tptp.axidr Bool) % 1.53/1.75 (define @t1 () (@var "Bound_variable_3283" tptp.term)) % 1.53/1.75 (define @t2 () (@var "P" (-> tptp.subst tptp.term tptp.subst Bool))) % 1.53/1.75 (define @t3 () (_ @t2 tptp.id)) % 1.53/1.75 (define @t4 () (@var "F" (-> tptp.subst tptp.term tptp.term))) % 1.53/1.75 (define @t5 () (_ (_ @t4 tptp.sh) tptp.one)) % 1.53/1.75 (define @t6 () (_ tptp.lam @t5)) % 1.53/1.75 (define @t7 () (_ (_ @t3 @t6) tptp.id)) % 1.53/1.75 (define @t8 () (@var "A" tptp.term)) % 1.53/1.75 (define @t9 () (_ (_ @t3 @t8) tptp.id)) % 1.53/1.75 (define @t10 () (not @t9)) % 1.53/1.75 (define @t11 () (@list @t8)) % 1.53/1.75 (define @t12 () (not (forall @t11 (or @t10 (_ (_ @t3 (_ (_ @t4 tptp.id) @t8)) tptp.id))))) % 1.53/1.75 (define @t13 () (@var "N" tptp.subst)) % 1.53/1.75 (define @t14 () (_ tptp.sub @t8)) % 1.53/1.75 (define @t15 () (_ @t14 @t13)) % 1.53/1.75 (define @t16 () (@var "M" tptp.subst)) % 1.53/1.75 (define @t17 () (_ tptp.comp @t16)) % 1.53/1.75 (define @t18 () (_ @t17 @t13)) % 1.53/1.75 (define @t19 () (_ (_ @t4 @t16) @t8)) % 1.53/1.75 (define @t20 () (@list @t16 @t8 @t13)) % 1.53/1.75 (define @t21 () (not (forall @t20 (= (_ (_ tptp.sub @t19) @t13) (_ (_ @t4 @t18) @t15))))) % 1.53/1.75 (define @t22 () (@list @t4)) % 1.53/1.75 (define @t23 () (not (forall @t22 (or @t21 @t12 @t7)))) % 1.53/1.75 (define @t24 () (@var "B" tptp.term)) % 1.53/1.75 (define @t25 () (_ @t14 tptp.id)) % 1.53/1.75 (define @t26 () (_ tptp.ap @t25)) % 1.53/1.75 (define @t27 () (not (_ (_ @t3 @t24) tptp.id))) % 1.53/1.75 (define @t28 () (@list @t8 @t24)) % 1.53/1.75 (define @t29 () (not (forall @t28 (or @t10 @t27 (_ (_ @t3 (_ @t26 @t24)) tptp.id))))) % 1.53/1.75 (define @t30 () (@var "K" tptp.subst)) % 1.53/1.75 (define @t31 () (_ (_ (_ @t2 @t16) @t8) (_ (_ tptp.comp @t30) @t13))) % 1.53/1.75 (define @t32 () (_ (_ (_ @t2 (_ @t17 @t30)) (_ @t14 @t30)) @t13)) % 1.53/1.75 (define @t33 () (@list @t16 @t8 @t13 @t30)) % 1.53/1.75 (define @t34 () (not (forall @t33 (or (not @t32) @t31)))) % 1.53/1.75 (define @t35 () (not (forall @t33 (or (not @t31) @t32)))) % 1.53/1.75 (define @t36 () (forall (@list @t2 @t1) (or @t35 @t34 (not (forall @t11 (or (not (_ tptp.var @t25)) @t9))) @t29 @t23 (_ (_ @t3 @t1) tptp.id)))) % 1.53/1.75 (define @t37 () (@var "Bound_variable_2931" tptp.term)) % 1.53/1.75 (define @t38 () (@var "Q" (-> tptp.term Bool))) % 1.53/1.75 (define @t39 () (_ tptp.push @t24)) % 1.53/1.75 (define @t40 () (_ @t39 tptp.id)) % 1.53/1.75 (define @t41 () (not (_ @t38 @t24))) % 1.53/1.75 (define @t42 () (@list @t24)) % 1.53/1.75 (define @t43 () (@var "X" tptp.term)) % 1.53/1.75 (define @t44 () (_ @t38 @t43)) % 1.53/1.75 (define @t45 () (@list @t43)) % 1.53/1.75 (define @t46 () (forall @t45 (= @t44 (_ (_ @t3 @t43) tptp.id)))) % 1.53/1.75 (define @t47 () (not @t46)) % 1.53/1.75 (define @t48 () (forall (@list @t2 @t38 @t37) (or @t23 @t47 (not (forall @t42 (or @t41 (_ @t38 (_ (_ tptp.sub @t37) @t40))))) (_ @t38 (_ tptp.lam @t37))))) % 1.53/1.75 (define @t49 () (forall @t11 (= @t8 @t25))) % 1.53/1.75 (define @t50 () (@var "Bound_variable_2367" tptp.term)) % 1.53/1.75 (define @t51 () (@var "P" (-> tptp.term Bool))) % 1.53/1.75 (define @t52 () (_ tptp.lam @t8)) % 1.53/1.75 (define @t53 () (_ @t51 @t52)) % 1.53/1.75 (define @t54 () (not (_ @t51 @t24))) % 1.53/1.75 (define @t55 () (not (forall @t11 (or (not (forall @t42 (or @t54 (_ @t51 (_ @t14 @t40))))) @t53)))) % 1.53/1.75 (define @t56 () (_ tptp.ap @t8)) % 1.53/1.75 (define @t57 () (_ @t51 @t8)) % 1.53/1.75 (define @t58 () (not @t57)) % 1.53/1.75 (define @t59 () (not (forall @t28 (or @t58 @t54 (_ @t51 (_ @t56 @t24)))))) % 1.53/1.75 (define @t60 () (not (forall @t11 (or (not (_ tptp.var @t8)) @t57)))) % 1.53/1.75 (define @t61 () (forall (@list @t51 @t50) (or @t60 @t59 @t55 (_ @t51 @t50)))) % 1.53/1.75 (define @t62 () (@list @t38)) % 1.53/1.75 (define @t63 () (forall (@list @t2) (not (forall @t62 @t47)))) % 1.53/1.75 (define @t64 () (@var "Bound_variable_2910" tptp.term)) % 1.53/1.75 (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))))) % 1.53/1.75 (define @t66 () (_ (_ tptp.push @t8) @t16)) % 1.53/1.75 (define @t67 () (forall @t45 (= @t44 (_ @t51 (_ (_ tptp.sub @t43) @t66))))) % 1.53/1.75 (define @t68 () (not @t67)) % 1.53/1.75 (define @t69 () (forall (@list @t51 @t8 @t16) (not (forall @t62 @t68)))) % 1.53/1.75 (define @t70 () (_ tptp.comp tptp.sh)) % 1.53/1.75 (define @t71 () (@list @t8 @t16)) % 1.53/1.75 (define @t72 () (forall @t71 (= @t16 (_ @t70 @t66)))) % 1.53/1.75 (define @t73 () (@var "K" (-> tptp.term Bool))) % 1.53/1.75 (define @t74 () (forall (@list @t51 @t73 @t8 @t16 @t24) (or @t58 (_ @t73 (_ @t14 (_ @t39 @t16)))))) % 1.53/1.75 (define @t75 () (_ tptp.sub tptp.one)) % 1.53/1.75 (define @t76 () (forall @t71 (= @t8 (_ @t75 @t66)))) % 1.53/1.75 (define @t77 () (@var "Bound_variable_2605" tptp.term)) % 1.53/1.75 (define @t78 () (@var "Bound_variable_2603" tptp.term)) % 1.53/1.75 (define @t79 () (_ tptp.d2subst tptp.d_id)) % 1.53/1.75 (define @t80 () (_ tptp.d2term tptp.d_one)) % 1.53/1.75 (define @t81 () (@var "Bound_variable_3295" tptp.term)) % 1.53/1.75 (define @t82 () (forall (@list @t2 @t81) (or @t29 @t23 (_ (_ @t3 @t81) tptp.id)))) % 1.53/1.75 (define @t83 () (@var "Bound_variable_3232" tptp.term)) % 1.53/1.75 (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)))) % 1.53/1.75 (define @t85 () (@list @t16)) % 1.53/1.75 (define @t86 () (forall @t85 (= @t16 (_ @t17 tptp.id)))) % 1.53/1.75 (define @t87 () (forall @t85 (= @t16 (_ (_ tptp.comp tptp.id) @t16)))) % 1.53/1.75 (define @t88 () (and @t87 @t86)) % 1.53/1.75 (define @t89 () (_ (_ tptp.push tptp.one) tptp.sh)) % 1.53/1.75 (define @t90 () (_ tptp.sub @t24)) % 1.53/1.75 (define @t91 () (forall @t42 (not (forall @t22 (not (= @t5 (_ @t90 @t89))))))) % 1.53/1.75 (define @t92 () (@var "Bound_variable_2342" tptp.subst)) % 1.53/1.75 (define @t93 () (@var "Bound_variable_2340" tptp.term)) % 1.53/1.75 (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))))) % 1.53/1.75 (define @t95 () (forall @t42 (not (forall @t22 (not (forall @t71 (= (_ @t90 @t66) @t19))))))) % 1.53/1.75 (define @t96 () (@var "Bound_variable_3211" tptp.term)) % 1.53/1.75 (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)))) % 1.53/1.75 (define @t98 () (@var "Bound_variable_3046" tptp.term)) % 1.53/1.75 (define @t99 () (_ tptp.sub @t98)) % 1.53/1.75 (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)))) % 1.53/1.75 (define @t101 () (= @t8 @t24)) % 1.53/1.75 (define @t102 () (forall @t28 (or (not (= @t52 (_ tptp.lam @t24))) @t101))) % 1.53/1.75 (define @t103 () (@var "Bound_variable_2551" tptp.term)) % 1.53/1.75 (define @t104 () (@var "Bound_variable_2549" tptp.subst)) % 1.53/1.75 (define @t105 () (@var "Bound_variable_2547" (-> tptp.subst tptp.term tptp.term))) % 1.53/1.75 (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))))) % 1.53/1.75 (define @t107 () (@var "D" tptp.term)) % 1.53/1.75 (define @t108 () (@var "C" tptp.term)) % 1.53/1.75 (define @t109 () (not (= (_ @t26 @t108) (_ (_ tptp.ap (_ @t90 tptp.id)) @t107)))) % 1.53/1.75 (define @t110 () (@list @t8 @t24 @t108 @t107)) % 1.53/1.75 (define @t111 () (forall @t110 (or @t109 @t101))) % 1.53/1.75 (define @t112 () (not (= (_ @t56 @t108) (_ (_ tptp.ap @t24) @t107)))) % 1.53/1.75 (define @t113 () (forall @t110 (or @t112 @t101))) % 1.53/1.75 (define @t114 () (= @t108 @t107)) % 1.53/1.75 (define @t115 () (forall @t110 (or @t109 @t114))) % 1.53/1.75 (define @t116 () (forall @t110 (or @t112 @t114))) % 1.53/1.75 (define @t117 () (@var "Bound_variable_2822" tptp.term)) % 1.53/1.75 (define @t118 () (@var "Bound_variable_2820" tptp.term)) % 1.53/1.75 (define @t119 () (@var "Bound_variable_2140" tptp.term)) % 1.53/1.75 (define @t120 () (forall (@list @t51 @t119) (or @t60 @t59 (not (forall @t11 (or @t58 @t53))) (_ @t51 @t119)))) % 1.53/1.75 (define @t121 () (forall (@list @t51 @t38 @t8 @t16) (or @t58 @t68 (_ @t38 tptp.one)))) % 1.53/1.75 (define @t122 () (@var "Bound_variable_3001" tptp.term)) % 1.53/1.75 (define @t123 () (@var "Bound_variable_2999" tptp.term)) % 1.53/1.75 (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)))) % 1.53/1.75 (define @t125 () (@var "Bound_variable_3171" tptp.term)) % 1.53/1.75 (define @t126 () (_ tptp.sub @t125)) % 1.53/1.75 (define @t127 () (@var "Bound_variable_3094" tptp.subst)) % 1.53/1.75 (define @t128 () (@var "Bound_variable_3090" tptp.subst)) % 1.53/1.75 (define @t129 () (_ (_ tptp.comp @t128) @t127)) % 1.53/1.75 (define @t130 () (@var "Bound_variable_3092" tptp.term)) % 1.53/1.75 (define @t131 () (_ (_ tptp.sub @t130) @t127)) % 1.53/1.75 (define @t132 () (@var "Bound_variable_3149" tptp.term)) % 1.53/1.75 (define @t133 () (_ tptp.sub @t132)) % 1.53/1.75 (define @t134 () (@var "Bound_variable_3076" tptp.subst)) % 1.53/1.75 (define @t135 () (@var "Bound_variable_3072" tptp.subst)) % 1.53/1.75 (define @t136 () (@var "Bound_variable_3074" tptp.term)) % 1.53/1.75 (define @t137 () (_ tptp.var @t80)) % 1.53/1.75 (define @t138 () (not @t137)) % 1.53/1.75 (define @t139 () (@var "DS2" tptp.d_subst)) % 1.53/1.75 (define @t140 () (@var "DS1" tptp.d_subst)) % 1.53/1.75 (define @t141 () (@var "DS" tptp.d_subst)) % 1.53/1.75 (define @t142 () (@list @t141)) % 1.53/1.75 (define @t143 () (@var "S" tptp.subst)) % 1.53/1.75 (define @t144 () (@var "DT2" tptp.d_term)) % 1.53/1.75 (define @t145 () (@var "DT1" tptp.d_term)) % 1.53/1.75 (define @t146 () (@var "DT" tptp.d_term)) % 1.53/1.75 (define @t147 () (@list @t146)) % 1.53/1.75 (define @t148 () (forall @t147 (= @t146 tptp.d_one))) % 1.53/1.75 (define @t149 () (_ tptp.d2term @t146)) % 1.53/1.75 (define @t150 () (@var "T" tptp.term)) % 1.53/1.75 (define @t151 () (= @t150 @t149)) % 1.53/1.75 (define @t152 () (exists @t147 @t151)) % 1.53/1.75 (define @t153 () (@list @t150)) % 1.53/1.75 (define @t154 () (forall @t153 @t152)) % 1.53/1.75 (define @t155 () (_ tptp.var @t52)) % 1.53/1.75 (define @t156 () (not @t155)) % 1.53/1.75 (define @t157 () (forall @t11 @t156)) % 1.53/1.75 (define @t158 () (= tptp.lamnotvar @t157)) % 1.53/1.75 (define @t159 () (not @t158)) % 1.53/1.75 (define @t160 () (tptp.d2term tptp.d_one)) % 1.53/1.75 (define @t161 () (tptp.var @t160)) % 1.53/1.75 (define @t162 () (tptp.lam @t8)) % 1.53/1.75 (define @t163 () (tptp.var @t162)) % 1.53/1.75 (define @t164 () (forall @t11 (not @t163))) % 1.53/1.75 (define @t165 () (tptp.lam (@quantifiers_skolemize @t164 0))) % 1.53/1.75 (define @t166 () (tptp.d2term @t146)) % 1.53/1.75 (define @t167 () (forall @t147 (not (= @t166 @t165)))) % 1.53/1.75 (define @t168 () (@quantifiers_skolemize @t167 0)) % 1.53/1.75 (define @t169 () (tptp.d2term @t168)) % 1.53/1.75 (define @t170 () (not @t151)) % 1.53/1.75 (define @t171 () (forall @t147 @t170)) % 1.53/1.75 (define @t172 () (not @t171)) % 1.53/1.75 (define @t173 () (not (= @t165 @t166))) % 1.53/1.75 (define @t174 () (forall @t147 @t173)) % 1.53/1.75 (define @t175 () (not @t174)) % 1.53/1.75 (define @t176 () (forall @t153 (not (forall @t147 (not (= @t150 @t166)))))) % 1.53/1.75 (define @t177 () (not @t167)) % 1.53/1.75 (define @t178 () (= @t165 @t169)) % 1.53/1.75 (define @t179 () (= @t169 @t165)) % 1.53/1.75 (define @t180 () (not (not @t179))) % 1.53/1.75 (define @t181 () (@list true)) % 1.53/1.75 (define @t182 () (tptp.var @t165)) % 1.53/1.75 (define @t183 () (= tptp.lamnotvar @t164)) % 1.53/1.75 (define @t184 () (not @t164)) % 1.53/1.75 (define @t185 () (not (not @t182))) % 1.53/1.75 (assume @p1 (and @t154 @t148 (forall (@list @t145 @t144) (=> (= (_ tptp.d2term @t145) (_ tptp.d2term @t144)) (= @t145 @t144))) (forall (@list @t143) (exists @t142 (= @t143 (_ tptp.d2subst @t141)))) (forall @t142 (= @t141 tptp.d_id)) (forall (@list @t140 @t139) (=> (= (_ tptp.d2subst @t140) (_ tptp.d2subst @t139)) (= @t140 @t139))) (= tptp.one @t80) (= (_ (_ tptp.ap @t80) @t80) @t80) (= (_ tptp.lam @t80) @t80) (= (_ (_ tptp.sub @t80) @t79) @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)) @t138 (= 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))))))) % 1.53/1.75 (assume @p2 @t159) % 1.53/1.75 (assume @p3 true) % 1.53/1.75 (step @p4 :rule evaluate :args ((= true false))) % 1.53/1.75 (step @p5 :rule refl :args ((tptp.var @t80))) % 1.53/1.75 (step @p6 :rule refl :args (@t160)) % 1.53/1.75 (step @p7 :rule cong :premises (@p6) :args (@t161)) % 1.53/1.75 (step @p8 :rule trans :premises (@p7 @p5)) % 1.53/1.75 (step @p9 :rule refl :args (tptp.var)) % 1.53/1.75 (step @p10 :rule ho_cong :premises (@p9 @p6)) % 1.53/1.75 (step @p11 :rule cong :premises (@p10 @p8) :args ((= (_ tptp.var @t160) @t161))) % 1.53/1.75 (step @p12 :rule symm :premises (@p11)) % 1.53/1.75 (step @p13 :rule refl :args (@t137)) % 1.53/1.75 (step @p14 :rule eq_resolve :premises (@p13 @p12)) % 1.53/1.75 (step @p15 :rule refl :args (@t80)) % 1.53/1.75 (step @p16 :rule cong :premises (@p15 @p6) :args ((= @t80 @t160))) % 1.53/1.75 (step @p17 :rule symm :premises (@p16)) % 1.53/1.75 (step @p18 :rule eq_resolve :premises (@p15 @p17)) % 1.53/1.75 (step @p19 :rule refl :args (tptp.var)) % 1.53/1.75 (step @p20 :rule ho_cong :premises (@p19 @p18)) % 1.53/1.75 (step @p21 :rule trans :premises (@p20 @p14)) % 1.53/1.75 (step @p22 :rule cong :premises (@p21) :args (@t138)) % 1.53/1.75 (step @p23 :rule and_elim :premises (@p1) :args (18)) % 1.53/1.75 (step @p24 :rule eq_resolve :premises (@p23 @p22)) % 1.53/1.75 (step @p25 :rule false_intro :premises (@p24)) % 1.53/1.75 (step @p26 :rule eq-symm :args (@t146 tptp.d_one)) % 1.53/1.75 (step @p27 :rule cong :premises (@p26) :args (@t148)) % 1.53/1.75 (step @p28 :rule and_elim :premises (@p1) :args (1)) % 1.53/1.75 (step @p29 :rule eq_resolve :premises (@p28 @p27)) % 1.53/1.75 (step @p30 :rule instantiate :premises (@p29) :args ((@list @t168))) % 1.53/1.75 (step @p31 :rule symm :premises (@p30)) % 1.53/1.75 (step @p32 :rule cong :premises (@p31) :args (@t169)) % 1.53/1.75 (step @p33 :rule refl :args (@t166)) % 1.53/1.75 (step @p34 :rule refl :args (@t149)) % 1.53/1.75 (step @p35 :rule cong :premises (@p34 @p33) :args ((= @t149 @t166))) % 1.53/1.75 (step @p36 :rule symm :premises (@p35)) % 1.53/1.75 (step @p37 :rule eq_resolve :premises (@p34 @p36)) % 1.53/1.75 (step @p38 :rule refl :args (@t150)) % 1.53/1.75 (step @p39 :rule cong :premises (@p38 @p37) :args (@t151)) % 1.53/1.75 (step @p40 :rule cong :premises (@p39) :args (@t170)) % 1.53/1.75 (step @p41 :rule cong :premises (@p40) :args (@t171)) % 1.53/1.75 (step @p42 :rule cong :premises (@p41) :args (@t172)) % 1.53/1.75 (step @p43 :rule exists-elim :args ((= @t152 @t172))) % 1.53/1.75 (step @p44 :rule trans :premises (@p43 @p42)) % 1.53/1.75 (step @p45 :rule cong :premises (@p44) :args (@t154)) % 1.53/1.75 (step @p46 :rule and_elim :premises (@p1) :args (0)) % 1.53/1.75 (step @p47 :rule eq_resolve :premises (@p46 @p45)) % 1.53/1.75 (step @p48 :rule eq-symm :args (@t165 @t166)) % 1.53/1.75 (step @p49 :rule cong :premises (@p48) :args (@t173)) % 1.53/1.75 (step @p50 :rule cong :premises (@p49) :args (@t174)) % 1.53/1.75 (step @p51 :rule cong :premises (@p50) :args (@t175)) % 1.53/1.75 (step @p52 :rule refl :args (@t176)) % 1.53/1.75 (step @p53 :rule cong :premises (@p52 @p51) :args ((=> @t176 @t175))) % 1.53/1.75 (assume-push @p131 @t176) % 1.53/1.75 (step @p55 :rule instantiate :premises (@p47) :args ((@list @t165))) % 1.53/1.75 (step-pop @p132 :rule scope :premises (@p55)) % 1.53/1.75 (step @p56 :rule process_scope :premises (@p132) :args (@t175)) % 1.53/1.75 (step @p58 :rule eq_resolve :premises (@p56 @p53)) % 1.53/1.75 (step @p59 :rule implies_elim :premises (@p58)) % 1.53/1.75 (step @p60 :rule chain_m_resolution :premises (@p59 @p47) :args (@t177 (@list false) (@list @t176))) % 1.53/1.75 (step @p61 :rule refl :args (@t178)) % 1.53/1.75 (step @p62 :rule bool-double-not-elim :args (@t167)) % 1.53/1.75 (step @p63 :rule nary_cong :premises (@p62 @p61) :args ((or (not @t177) @t178))) % 1.53/1.75 (step @p64 :rule eq-symm :args (@t169 @t165)) % 1.53/1.75 (step @p65 :rule bool-double-not-elim :args (@t179)) % 1.53/1.75 (step @p66 :rule trans :premises (@p65 @p64)) % 1.53/1.75 (step @p67 :rule refl :args (@t177)) % 1.53/1.75 (step @p68 :rule cong :premises (@p67 @p66) :args ((=> @t177 @t180))) % 1.53/1.75 (assume-push @p133 @t177) % 1.53/1.75 (step @p70 :rule skolemize :premises (@p60)) % 1.53/1.75 (step-pop @p134 :rule scope :premises (@p70)) % 1.53/1.75 (step @p71 :rule process_scope :premises (@p134) :args (@t180)) % 1.53/1.76 (step @p73 :rule eq_resolve :premises (@p71 @p68)) % 1.53/1.76 (step @p74 :rule implies_elim :premises (@p73)) % 1.53/1.76 (step @p75 :rule eq_resolve :premises (@p74 @p63)) % 1.53/1.76 (step @p76 :rule chain_m_resolution :premises (@p75 @p60) :args (@t178 @t181 (@list @t167))) % 1.53/1.76 (step @p77 :rule trans :premises (@p76 @p32)) % 1.53/1.76 (step @p78 :rule cong :premises (@p77) :args (@t182)) % 1.53/1.76 (step @p79 :rule bool-eq-true :args (@t164)) % 1.53/1.76 (step @p80 :rule eq-symm :args (true @t164)) % 1.53/1.76 (step @p81 :rule trans :premises (@p80 @p79)) % 1.53/1.76 (step @p82 :rule cong :premises (@p81) :args ((not (= true @t164)))) % 1.53/1.76 (step @p83 :rule refl :args (@t164)) % 1.53/1.76 (step @p84 :rule bool-eq-true :args (tptp.lamnotvar)) % 1.53/1.76 (step @p85 :rule symm :premises (@p84)) % 1.53/1.76 (step @p86 :rule and_elim :premises (@p1) :args (106)) % 1.53/1.76 (step @p87 :rule eq_resolve :premises (@p86 @p85)) % 1.53/1.76 (step @p88 :rule cong :premises (@p87 @p83) :args (@t183)) % 1.53/1.76 (step @p89 :rule cong :premises (@p88) :args ((not @t183))) % 1.53/1.76 (step @p90 :rule trans :premises (@p89 @p82)) % 1.53/1.76 (step @p91 :rule refl :args ((tptp.var @t52))) % 1.53/1.76 (step @p92 :rule refl :args (@t162)) % 1.53/1.76 (step @p93 :rule cong :premises (@p92) :args (@t163)) % 1.53/1.76 (step @p94 :rule trans :premises (@p93 @p91)) % 1.53/1.76 (step @p95 :rule ho_cong :premises (@p9 @p92)) % 1.53/1.76 (step @p96 :rule cong :premises (@p95 @p94) :args ((= (_ tptp.var @t162) @t163))) % 1.53/1.76 (step @p97 :rule symm :premises (@p96)) % 1.53/1.76 (step @p98 :rule refl :args (@t155)) % 1.53/1.76 (step @p99 :rule eq_resolve :premises (@p98 @p97)) % 1.53/1.76 (step @p100 :rule refl :args (@t52)) % 1.53/1.76 (step @p101 :rule cong :premises (@p100 @p92) :args ((= @t52 @t162))) % 1.53/1.76 (step @p102 :rule symm :premises (@p101)) % 1.53/1.76 (step @p103 :rule eq_resolve :premises (@p100 @p102)) % 1.53/1.76 (step @p104 :rule ho_cong :premises (@p9 @p103)) % 1.53/1.76 (step @p105 :rule trans :premises (@p104 @p99)) % 1.53/1.76 (step @p106 :rule cong :premises (@p105) :args (@t156)) % 1.53/1.76 (step @p107 :rule cong :premises (@p106) :args (@t157)) % 1.53/1.76 (step @p108 :rule refl :args (tptp.lamnotvar)) % 1.53/1.76 (step @p109 :rule cong :premises (@p108 @p107) :args (@t158)) % 1.53/1.76 (step @p110 :rule cong :premises (@p109) :args (@t159)) % 1.53/1.76 (step @p111 :rule trans :premises (@p110 @p90)) % 1.53/1.76 (step @p112 :rule eq_resolve :premises (@p2 @p111)) % 1.53/1.76 (step @p113 :rule refl :args (@t182)) % 1.53/1.76 (step @p114 :rule bool-double-not-elim :args (@t164)) % 1.53/1.76 (step @p115 :rule nary_cong :premises (@p114 @p113) :args ((or (not @t184) @t182))) % 1.53/1.76 (step @p116 :rule bool-double-not-elim :args (@t182)) % 1.53/1.76 (step @p117 :rule refl :args (@t184)) % 1.53/1.76 (step @p118 :rule cong :premises (@p117 @p116) :args ((=> @t184 @t185))) % 1.53/1.76 (assume-push @p135 @t184) % 1.53/1.76 (step @p120 :rule skolemize :premises (@p112)) % 1.53/1.76 (step-pop @p136 :rule scope :premises (@p120)) % 1.53/1.76 (step @p121 :rule process_scope :premises (@p136) :args (@t185)) % 1.53/1.76 (step @p123 :rule eq_resolve :premises (@p121 @p118)) % 1.53/1.76 (step @p124 :rule implies_elim :premises (@p123)) % 1.53/1.76 (step @p125 :rule eq_resolve :premises (@p124 @p115)) % 1.53/1.76 (step @p126 :rule chain_m_resolution :premises (@p125 @p112) :args (@t182 @t181 (@list @t164))) % 1.53/1.76 (step @p127 :rule true_intro :premises (@p126)) % 1.53/1.76 (step @p128 :rule symm :premises (@p127)) % 1.53/1.76 (step @p129 :rule trans :premises (@p128 @p78 @p25)) % 1.53/1.76 (step @p130 false :rule eq_resolve :premises (@p129 @p4)) % 1.53/1.76 ) % 1.53/1.76 % SZS output end Proof % 1.53/1.76 % cvc5 exiting %------------------------------------------------------------------------------