%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG258^1 : TPTP v9.2.1. Bugfixed v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n001.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 08:05:40 AM UTC 2026 % Result : Theorem 213.94s 214.21s % Output : Proof 213.94s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG258^1 : TPTP v9.2.1. Bugfixed v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n001.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 : Wed Jun 3 01:56:05 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.55 %----Proving TH0 % 213.94/214.21 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 213.94/214.21 --- 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... % 213.94/214.21 --- 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... % 213.94/214.21 --- Run --ho-elim --full-saturate-quant at 18s... % 213.94/214.21 --- Run --ho-elim --no-e-matching --full-saturate-quant at 12s... % 213.94/214.21 --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 12s... % 213.94/214.21 --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 9s... % 213.94/214.21 --- Run --no-ho-matching --finite-model-find --uf-ss=no-minimal at 6s... % 213.94/214.21 --- Run --no-ho-matching --full-saturate-quant --enum-inst-interleave --ho-elim-store-ax at 21s... % 213.94/214.21 % SZS status Theorem % 213.94/214.21 % SZS output start Proof % 213.94/214.21 ( % 213.94/214.21 (declare-sort tptp.subst 0) % 213.94/214.21 (declare-sort tptp.term 0) % 213.94/214.21 (declare-const tptp.push (-> tptp.term tptp.subst tptp.subst)) % 213.94/214.21 (declare-const tptp.sub (-> tptp.term tptp.subst tptp.term)) % 213.94/214.21 (declare-const tptp.ap (-> tptp.term tptp.term tptp.term)) % 213.94/214.21 (declare-const tptp.one tptp.term) % 213.94/214.21 (declare-const tptp.sh tptp.subst) % 213.94/214.21 (declare-const tptp.lam (-> tptp.term tptp.term)) % 213.94/214.21 (declare-const tptp.var (-> tptp.term Bool)) % 213.94/214.21 (declare-const tptp.id tptp.subst) % 213.94/214.21 (declare-const tptp.hoasinduction_no_psi_cond_lthm Bool) % 213.94/214.21 (declare-const tptp.hoasinduction_no_psi_cond Bool) % 213.94/214.21 (declare-const tptp.hoasinduction_lthm_3 Bool) % 213.94/214.21 (declare-const tptp.hoasinduction_lthm Bool) % 213.94/214.21 (declare-const tptp.hoasinduction_gthm Bool) % 213.94/214.21 (declare-const tptp.hoasinduction Bool) % 213.94/214.21 (declare-const tptp.hoasinduction_lem3b_lthm Bool) % 213.94/214.21 (declare-const tptp.hoasinduction_lem3b_gthm Bool) % 213.94/214.21 (declare-const tptp.hoasinduction_lem3b Bool) % 213.94/214.21 (declare-const tptp.hoasinduction_lem3a_lthm Bool) % 213.94/214.21 (declare-const tptp.hoasinduction_lem3a_gthm Bool) % 213.94/214.21 (declare-const tptp.hoasinduction_lem3a Bool) % 213.94/214.21 (declare-const tptp.hoasinduction_lem3_lthm Bool) % 213.94/214.21 (declare-const tptp.hoasinduction_lem3_gthm Bool) % 213.94/214.21 (declare-const tptp.hoasinduction_lem3 Bool) % 213.94/214.21 (declare-const tptp.hoasinduction_lem3aaa Bool) % 213.94/214.21 (declare-const tptp.hoasinduction_lem3aa_lthm Bool) % 213.94/214.21 (declare-const tptp.hoasinduction_lem3aa Bool) % 213.94/214.21 (declare-const tptp.hoasinduction_lem2_lthm Bool) % 213.94/214.21 (declare-const tptp.hoasinduction_lem2_gthm Bool) % 213.94/214.21 (declare-const tptp.hoasinduction_lem2 Bool) % 213.94/214.21 (declare-const tptp.hoasinduction_lem1_lthm Bool) % 213.94/214.21 (declare-const tptp.hoasinduction_lem1_gthm Bool) % 213.94/214.21 (declare-const tptp.hoasinduction_lem1 Bool) % 213.94/214.21 (declare-const tptp.hoasinduction_lem3v2a_lthm Bool) % 213.94/214.21 (declare-const tptp.hoasinduction_lem3v2a Bool) % 213.94/214.21 (declare-const tptp.hoasinduction_lem3v2_lthm Bool) % 213.94/214.21 (declare-const tptp.hoasinduction_lem3v2_gthm Bool) % 213.94/214.21 (declare-const tptp.hoasinduction_lem3v2 Bool) % 213.94/214.21 (declare-const tptp.hoasinduction_lem3v2_f_lthm Bool) % 213.94/214.21 (declare-const tptp.hoasinduction_lem3v2_f Bool) % 213.94/214.21 (declare-const tptp.hoasinduction_lem2v2_gthm Bool) % 213.94/214.21 (declare-const tptp.hoasinduction_lem2v2 Bool) % 213.94/214.21 (declare-const tptp.hoasinduction_lem1v2_gthm Bool) % 213.94/214.21 (declare-const tptp.hoasinduction_lem1v2 Bool) % 213.94/214.21 (declare-const tptp.hoasinduction_lem0_lthm Bool) % 213.94/214.21 (declare-const tptp.hoasinduction_lem0 Bool) % 213.94/214.21 (declare-const tptp.hoasapnotvar_lthm Bool) % 213.94/214.21 (declare-const tptp.hoasapnotvar_gthm Bool) % 213.94/214.21 (declare-const tptp.hoasapnotvar Bool) % 213.94/214.21 (declare-const tptp.hoaslamnotvar_lthm Bool) % 213.94/214.21 (declare-const tptp.hoaslamnotvar_gthm Bool) % 213.94/214.21 (declare-const tptp.hoaslamnotvar Bool) % 213.94/214.21 (declare-const tptp.hoaslamnotap_lthm Bool) % 213.94/214.21 (declare-const tptp.hoaslamnotap_gthm Bool) % 213.94/214.21 (declare-const tptp.hoaslamnotap Bool) % 213.94/214.21 (declare-const tptp.hoaslaminj_lthm Bool) % 213.94/214.21 (declare-const tptp.hoaslaminj_gthm Bool) % 213.94/214.21 (declare-const tptp.hoaslaminj Bool) % 213.94/214.21 (declare-const tptp.hoasapinj2_lthm Bool) % 213.94/214.21 (declare-const tptp.hoasapinj2_gthm Bool) % 213.94/214.21 (declare-const tptp.hoasapinj2 Bool) % 213.94/214.21 (declare-const tptp.pushprop_lem0_lthm Bool) % 213.94/214.21 (declare-const tptp.axassoc Bool) % 213.94/214.21 (declare-const tptp.pushprop_lem0_gthm Bool) % 213.94/214.21 (declare-const tptp.axvarcons Bool) % 213.94/214.21 (declare-const tptp.pushprop_lem0 Bool) % 213.94/214.21 (declare-const tptp.apinj1 Bool) % 213.94/214.21 (declare-const tptp.induction Bool) % 213.94/214.21 (declare-const tptp.apnotvar Bool) % 213.94/214.21 (declare-const tptp.laminj Bool) % 213.94/214.21 (declare-const tptp.axvarshift Bool) % 213.94/214.21 (declare-const tptp.ulamvarind Bool) % 213.94/214.21 (declare-const tptp.pushprop_lem2v2_lthm Bool) % 213.94/214.21 (declare-const tptp.ulamvarsh Bool) % 213.94/214.21 (declare-const tptp.ulamvar1 Bool) % 213.94/214.21 (declare-const tptp.axabs Bool) % 213.94/214.21 (declare-const tptp.pushprop_lem1 Bool) % 213.94/214.21 (declare-const tptp.shinj Bool) % 213.94/214.21 (declare-const tptp.comp (-> tptp.subst tptp.subst tptp.subst)) % 213.94/214.21 (declare-const tptp.apinj2 Bool) % 213.94/214.21 (declare-const tptp.axvarid Bool) % 213.94/214.21 (declare-const tptp.axidl Bool) % 213.94/214.21 (declare-const tptp.axclos Bool) % 213.94/214.21 (declare-const tptp.termmset Bool) % 213.94/214.21 (declare-const tptp.axshiftcons Bool) % 213.94/214.21 (declare-const tptp.lamnotap Bool) % 213.94/214.21 (declare-const tptp.lamnotvar Bool) % 213.94/214.21 (declare-const tptp.axapp Bool) % 213.94/214.21 (declare-const tptp.axscons Bool) % 213.94/214.21 (declare-const tptp.axmap Bool) % 213.94/214.21 (declare-const tptp.axidr Bool) % 213.94/214.21 (declare-const tptp.induction2lem Bool) % 213.94/214.21 (declare-const tptp.pushprop_lem1_gthm Bool) % 213.94/214.21 (declare-const tptp.hoasapinj1_lthm Bool) % 213.94/214.21 (declare-const tptp.pushprop_lem1_lthm Bool) % 213.94/214.21 (declare-const tptp.pushprop_lem1v2 Bool) % 213.94/214.21 (declare-const tptp.pushprop_lem1v2_gthm Bool) % 213.94/214.21 (declare-const tptp.induction2 Bool) % 213.94/214.21 (declare-const tptp.pushprop_lem1v2_lthm Bool) % 213.94/214.21 (declare-const tptp.pushprop_lem2v2 Bool) % 213.94/214.21 (declare-const tptp.pushprop_lem2v2_gthm Bool) % 213.94/214.21 (declare-const tptp.pushprop_lem3v2 Bool) % 213.94/214.21 (declare-const tptp.pushprop_lem3v2_lthm Bool) % 213.94/214.21 (declare-const tptp.pushprop Bool) % 213.94/214.21 (declare-const tptp.pushprop_gthm Bool) % 213.94/214.21 (declare-const tptp.hoasapinj1 Bool) % 213.94/214.21 (declare-const tptp.pushprop_lthm_orig Bool) % 213.94/214.21 (declare-const tptp.pushprop_lthm Bool) % 213.94/214.21 (declare-const tptp.induction2lem_gthm Bool) % 213.94/214.21 (declare-const tptp.induction2lem_lthm Bool) % 213.94/214.21 (declare-const tptp.induction2_gthm Bool) % 213.94/214.21 (declare-const tptp.induction2_lthm Bool) % 213.94/214.21 (declare-const tptp.substmonoid Bool) % 213.94/214.21 (declare-const tptp.substmonoid_gthm Bool) % 213.94/214.21 (declare-const tptp.termmset_gthm Bool) % 213.94/214.21 (declare-const tptp.substmonoid_lthm Bool) % 213.94/214.21 (declare-const tptp.termmset_lthm Bool) % 213.94/214.21 (declare-const tptp.hoasapinj1_gthm Bool) % 213.94/214.21 (define tptp.pushprop_p_and_p_prime () (let ((_let_1 (@var "M" tptp.subst))) (let ((_let_2 (@var "A" tptp.term))) (let ((_let_3 (@var "X" tptp.term))) (let ((_let_4 (@var "P" (-> tptp.term Bool)))) (let ((_let_5 (@var "Q" (-> tptp.term Bool)))) (lambda (@list _let_2 _let_1 _let_4 _let_5) (forall (@list _let_3) (= (_ _let_5 _let_3) (_ _let_4 (_ (_ tptp.sub _let_3) (_ (_ tptp.push _let_2) _let_1)))))))))))) % 213.94/214.21 (define tptp.hoasap () (let ((_let_1 (@var "B" tptp.term))) (let ((_let_2 (@var "N" tptp.subst))) (let ((_let_3 (@var "A" tptp.term))) (lambda (@list (@var "M" tptp.subst) _let_3 _let_2 _let_1) (_ (_ tptp.ap (_ (_ tptp.sub _let_3) _let_2)) _let_1)))))) % 213.94/214.21 (define tptp.hoaslam () (let ((_let_1 (@var "F" (-> tptp.subst tptp.term tptp.term)))) (lambda (@list (@var "M" tptp.subst) _let_1) (_ tptp.lam (_ (_ _let_1 tptp.sh) tptp.one))))) % 213.94/214.21 (define tptp.hoasvar () (let ((_let_1 (@var "N" tptp.subst))) (let ((_let_2 (@var "A" tptp.term))) (lambda (@list (@var "M" tptp.subst) _let_2 _let_1) (_ tptp.var (_ (_ tptp.sub _let_2) _let_1)))))) % 213.94/214.21 (define tptp.hoasinduction_p_and_p_prime () (let ((_let_1 (@var "X" tptp.term))) (let ((_let_2 (@var "P" (-> tptp.subst tptp.term tptp.subst Bool)))) (let ((_let_3 (@var "Q" (-> tptp.term Bool)))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (= (_ _let_3 _let_1) (_ (_ (_ _let_2 tptp.id) _let_1) tptp.id)))))))) % 213.94/214.21 (define @t1 () (@var "M" tptp.subst)) % 213.94/214.21 (define @t2 () (@var "B" tptp.term)) % 213.94/214.21 (define @t3 () (_ tptp.sub @t2)) % 213.94/214.21 (define @t4 () (_ @t3 @t1)) % 213.94/214.21 (define @t5 () (@var "A" tptp.term)) % 213.94/214.21 (define @t6 () (_ tptp.sub @t5)) % 213.94/214.21 (define @t7 () (_ @t6 @t1)) % 213.94/214.21 (define @t8 () (_ (_ tptp.ap @t7) @t4)) % 213.94/214.21 (define @t9 () (_ tptp.ap @t5)) % 213.94/214.21 (define @t10 () (_ @t9 @t2)) % 213.94/214.21 (define @t11 () (_ (_ tptp.sub @t10) @t1)) % 213.94/214.21 (define @t12 () (= @t11 @t8)) % 213.94/214.21 (define @t13 () (@list @t5 @t2 @t1)) % 213.94/214.21 (define @t14 () (forall @t13 @t12)) % 213.94/214.21 (define @t15 () (= tptp.axapp @t14)) % 213.94/214.21 (define @t16 () (_ (_ tptp.push @t5) @t1)) % 213.94/214.21 (define @t17 () (_ tptp.sub tptp.one)) % 213.94/214.21 (define @t18 () (_ @t17 @t16)) % 213.94/214.21 (define @t19 () (@list @t5 @t1)) % 213.94/214.21 (define @t20 () (forall @t19 (= @t18 @t5))) % 213.94/214.21 (define @t21 () (= tptp.axvarcons @t20)) % 213.94/214.21 (define @t22 () (_ @t6 tptp.id)) % 213.94/214.21 (define @t23 () (@list @t5)) % 213.94/214.21 (define @t24 () (forall @t23 (= @t22 @t5))) % 213.94/214.21 (define @t25 () (= tptp.axvarid @t24)) % 213.94/214.21 (define @t26 () (_ tptp.comp @t1)) % 213.94/214.21 (define @t27 () (_ @t26 tptp.sh)) % 213.94/214.21 (define @t28 () (_ tptp.push tptp.one)) % 213.94/214.21 (define @t29 () (_ @t28 @t27)) % 213.94/214.21 (define @t30 () (_ @t6 @t29)) % 213.94/214.21 (define @t31 () (_ tptp.lam @t30)) % 213.94/214.21 (define @t32 () (_ tptp.lam @t5)) % 213.94/214.21 (define @t33 () (_ (_ tptp.sub @t32) @t1)) % 213.94/214.21 (define @t34 () (= @t33 @t31)) % 213.94/214.21 (define @t35 () (forall @t19 @t34)) % 213.94/214.21 (define @t36 () (= tptp.axabs @t35)) % 213.94/214.21 (define @t37 () (@var "N" tptp.subst)) % 213.94/214.21 (define @t38 () (_ @t26 @t37)) % 213.94/214.21 (define @t39 () (_ @t6 @t38)) % 213.94/214.21 (define @t40 () (_ (_ tptp.sub @t7) @t37)) % 213.94/214.21 (define @t41 () (= @t40 @t39)) % 213.94/214.21 (define @t42 () (@list @t5 @t1 @t37)) % 213.94/214.21 (define @t43 () (forall @t42 @t41)) % 213.94/214.21 (define @t44 () (= tptp.axclos @t43)) % 213.94/214.21 (define @t45 () (_ (_ tptp.comp tptp.id) @t1)) % 213.94/214.21 (define @t46 () (@list @t1)) % 213.94/214.21 (define @t47 () (forall @t46 (= @t45 @t1))) % 213.94/214.21 (define @t48 () (= tptp.axidl @t47)) % 213.94/214.21 (define @t49 () (_ tptp.comp tptp.sh)) % 213.94/214.21 (define @t50 () (_ @t49 @t16)) % 213.94/214.21 (define @t51 () (forall @t19 (= @t50 @t1))) % 213.94/214.21 (define @t52 () (= tptp.axshiftcons @t51)) % 213.94/214.21 (define @t53 () (@var "K" tptp.subst)) % 213.94/214.21 (define @t54 () (_ (_ tptp.comp @t37) @t53)) % 213.94/214.21 (define @t55 () (_ @t26 @t54)) % 213.94/214.21 (define @t56 () (_ (_ tptp.comp @t38) @t53)) % 213.94/214.21 (define @t57 () (= @t56 @t55)) % 213.94/214.21 (define @t58 () (@list @t1 @t37 @t53)) % 213.94/214.21 (define @t59 () (forall @t58 @t57)) % 213.94/214.21 (define @t60 () (= tptp.axassoc @t59)) % 213.94/214.21 (define @t61 () (_ @t6 @t37)) % 213.94/214.21 (define @t62 () (_ (_ tptp.push @t61) @t38)) % 213.94/214.21 (define @t63 () (_ (_ tptp.comp @t16) @t37)) % 213.94/214.21 (define @t64 () (= @t63 @t62)) % 213.94/214.21 (define @t65 () (forall @t42 @t64)) % 213.94/214.21 (define @t66 () (= tptp.axmap @t65)) % 213.94/214.21 (define @t67 () (_ @t26 tptp.id)) % 213.94/214.21 (define @t68 () (forall @t46 (= @t67 @t1))) % 213.94/214.21 (define @t69 () (= tptp.axidr @t68)) % 213.94/214.21 (define @t70 () (_ @t28 tptp.sh)) % 213.94/214.21 (define @t71 () (= tptp.axvarshift (= @t70 tptp.id))) % 213.94/214.21 (define @t72 () (_ @t49 @t1)) % 213.94/214.21 (define @t73 () (_ @t17 @t1)) % 213.94/214.21 (define @t74 () (_ (_ tptp.push @t73) @t72)) % 213.94/214.21 (define @t75 () (forall @t46 (= @t74 @t1))) % 213.94/214.21 (define @t76 () (= tptp.axscons @t75)) % 213.94/214.21 (define @t77 () (_ tptp.var tptp.one)) % 213.94/214.21 (define @t78 () (_ @t6 tptp.sh)) % 213.94/214.21 (define @t79 () (_ tptp.var @t78)) % 213.94/214.21 (define @t80 () (_ tptp.var @t5)) % 213.94/214.21 (define @t81 () (forall @t23 (=> @t80 @t79))) % 213.94/214.21 (define @t82 () (= tptp.ulamvarsh @t81)) % 213.94/214.21 (define @t83 () (@var "P" (-> tptp.term Bool))) % 213.94/214.21 (define @t84 () (_ @t83 @t5)) % 213.94/214.21 (define @t85 () (forall @t23 (=> @t80 @t84))) % 213.94/214.21 (define @t86 () (_ @t83 @t78)) % 213.94/214.21 (define @t87 () (=> @t84 @t86)) % 213.94/214.21 (define @t88 () (forall @t23 (=> @t80 @t87))) % 213.94/214.21 (define @t89 () (=> @t88 @t85)) % 213.94/214.21 (define @t90 () (_ @t83 tptp.one)) % 213.94/214.21 (define @t91 () (=> @t90 @t89)) % 213.94/214.21 (define @t92 () (@list @t83)) % 213.94/214.21 (define @t93 () (forall @t92 @t91)) % 213.94/214.21 (define @t94 () (= tptp.ulamvarind @t93)) % 213.94/214.21 (define @t95 () (= @t5 @t2)) % 213.94/214.21 (define @t96 () (@var "D" tptp.term)) % 213.94/214.21 (define @t97 () (_ tptp.ap @t2)) % 213.94/214.21 (define @t98 () (_ @t97 @t96)) % 213.94/214.21 (define @t99 () (@var "C" tptp.term)) % 213.94/214.21 (define @t100 () (_ @t9 @t99)) % 213.94/214.21 (define @t101 () (= @t100 @t98)) % 213.94/214.21 (define @t102 () (@list @t5 @t2 @t99 @t96)) % 213.94/214.21 (define @t103 () (forall @t102 (=> @t101 @t95))) % 213.94/214.21 (define @t104 () (= tptp.apinj1 @t103)) % 213.94/214.21 (define @t105 () (= @t99 @t96)) % 213.94/214.21 (define @t106 () (forall @t102 (=> @t101 @t105))) % 213.94/214.21 (define @t107 () (= tptp.apinj2 @t106)) % 213.94/214.21 (define @t108 () (_ tptp.lam @t2)) % 213.94/214.21 (define @t109 () (= @t32 @t108)) % 213.94/214.21 (define @t110 () (@list @t5 @t2)) % 213.94/214.21 (define @t111 () (forall @t110 (=> @t109 @t95))) % 213.94/214.21 (define @t112 () (= tptp.laminj @t111)) % 213.94/214.21 (define @t113 () (_ @t3 tptp.sh)) % 213.94/214.21 (define @t114 () (= @t78 @t113)) % 213.94/214.21 (define @t115 () (forall @t110 (=> @t114 @t95))) % 213.94/214.21 (define @t116 () (= tptp.shinj @t115)) % 213.94/214.21 (define @t117 () (_ @t97 @t99)) % 213.94/214.21 (define @t118 () (= @t32 @t117)) % 213.94/214.21 (define @t119 () (not @t118)) % 213.94/214.21 (define @t120 () (@list @t5 @t2 @t99)) % 213.94/214.21 (define @t121 () (forall @t120 @t119)) % 213.94/214.21 (define @t122 () (= tptp.lamnotap @t121)) % 213.94/214.21 (define @t123 () (_ tptp.var @t10)) % 213.94/214.21 (define @t124 () (not @t123)) % 213.94/214.21 (define @t125 () (forall @t110 @t124)) % 213.94/214.21 (define @t126 () (= tptp.apnotvar @t125)) % 213.94/214.21 (define @t127 () (_ tptp.var @t32)) % 213.94/214.21 (define @t128 () (not @t127)) % 213.94/214.21 (define @t129 () (forall @t23 @t128)) % 213.94/214.21 (define @t130 () (= tptp.lamnotvar @t129)) % 213.94/214.21 (define @t131 () (forall @t23 @t84)) % 213.94/214.21 (define @t132 () (_ @t83 @t32)) % 213.94/214.21 (define @t133 () (forall @t23 (=> @t84 @t132))) % 213.94/214.21 (define @t134 () (=> @t133 @t131)) % 213.94/214.21 (define @t135 () (_ @t83 @t10)) % 213.94/214.21 (define @t136 () (_ @t83 @t2)) % 213.94/214.21 (define @t137 () (=> @t136 @t135)) % 213.94/214.21 (define @t138 () (forall @t110 (=> @t84 @t137))) % 213.94/214.21 (define @t139 () (=> @t138 @t134)) % 213.94/214.21 (define @t140 () (=> @t85 @t139)) % 213.94/214.21 (define @t141 () (forall @t92 @t140)) % 213.94/214.21 (define @t142 () (= tptp.induction @t141)) % 213.94/214.21 (define @t143 () (@var "Q" (-> tptp.term Bool))) % 213.94/214.21 (define @t144 () (_ (_ (_ (_ tptp.pushprop_p_and_p_prime @t5) @t1) @t83) @t143)) % 213.94/214.21 (define @t145 () (@list @t143)) % 213.94/214.21 (define @t146 () (@list @t83 @t5 @t1)) % 213.94/214.21 (define @t147 () (_ tptp.push @t2)) % 213.94/214.21 (define @t148 () (@var "K" (-> tptp.term Bool))) % 213.94/214.21 (define @t149 () (@list @t83 @t143 @t5 @t1)) % 213.94/214.21 (define @t150 () (_ tptp.sub @t99)) % 213.94/214.21 (define @t151 () (@list @t99)) % 213.94/214.21 (define @t152 () (_ @t83 @t4)) % 213.94/214.21 (define @t153 () (_ tptp.var @t2)) % 213.94/214.21 (define @t154 () (@list @t2)) % 213.94/214.21 (define @t155 () (forall @t154 (=> @t153 @t152))) % 213.94/214.21 (define @t156 () (_ @t3 @t16)) % 213.94/214.21 (define @t157 () (_ @t83 @t156)) % 213.94/214.21 (define @t158 () (forall @t154 (=> @t153 @t157))) % 213.94/214.21 (define @t159 () (_ @t143 @t2)) % 213.94/214.21 (define @t160 () (=> @t84 @t158)) % 213.94/214.21 (define @t161 () (=> @t155 @t160)) % 213.94/214.21 (define @t162 () (forall @t146 @t161)) % 213.94/214.21 (define @t163 () (= tptp.pushprop @t162)) % 213.94/214.21 (define @t164 () (=> tptp.ulamvar1 (=> tptp.axvarcons (=> tptp.axclos (=> tptp.axshiftcons (=> tptp.ulamvarind tptp.pushprop)))))) % 213.94/214.21 (define @t165 () (_ @t83 @t7)) % 213.94/214.21 (define @t166 () (=> @t155 @t165)) % 213.94/214.21 (define @t167 () (forall @t19 @t166)) % 213.94/214.21 (define @t168 () (_ @t147 tptp.id)) % 213.94/214.21 (define @t169 () (_ @t6 @t168)) % 213.94/214.21 (define @t170 () (_ @t83 @t169)) % 213.94/214.21 (define @t171 () (forall @t154 (=> @t136 @t170))) % 213.94/214.21 (define @t172 () (=> @t171 @t132)) % 213.94/214.21 (define @t173 () (forall @t23 @t172)) % 213.94/214.21 (define @t174 () (=> @t173 @t167)) % 213.94/214.21 (define @t175 () (=> @t138 @t174)) % 213.94/214.21 (define @t176 () (forall @t92 @t175)) % 213.94/214.21 (define @t177 () (= tptp.induction2lem @t176)) % 213.94/214.21 (define @t178 () (=> tptp.induction (=> tptp.pushprop tptp.induction2lem))) % 213.94/214.21 (define @t179 () (=> @t173 @t131)) % 213.94/214.21 (define @t180 () (=> @t138 @t179)) % 213.94/214.21 (define @t181 () (=> @t85 @t180)) % 213.94/214.21 (define @t182 () (forall @t92 @t181)) % 213.94/214.21 (define @t183 () (= tptp.induction2 @t182)) % 213.94/214.21 (define @t184 () (=> tptp.induction2lem tptp.induction2)) % 213.94/214.21 (define @t185 () (and @t59 @t47 @t68)) % 213.94/214.21 (define @t186 () (= tptp.substmonoid @t185)) % 213.94/214.21 (define @t187 () (and @t43 @t24)) % 213.94/214.21 (define @t188 () (= tptp.termmset @t187)) % 213.94/214.21 (define @t189 () (_ tptp.hoasap tptp.id)) % 213.94/214.21 (define @t190 () (_ (_ @t189 @t5) tptp.id)) % 213.94/214.21 (define @t191 () (= (_ @t190 @t99) (_ (_ (_ @t189 @t2) tptp.id) @t96))) % 213.94/214.21 (define @t192 () (=> @t191 @t95)) % 213.94/214.21 (define @t193 () (forall @t102 @t192)) % 213.94/214.21 (define @t194 () (= tptp.hoasapinj1 @t193)) % 213.94/214.21 (define @t195 () (=> @t191 @t105)) % 213.94/214.21 (define @t196 () (forall @t102 @t195)) % 213.94/214.21 (define @t197 () (= tptp.hoasapinj2 @t196)) % 213.94/214.21 (define @t198 () (@var "G" (-> tptp.subst tptp.term tptp.term))) % 213.94/214.21 (define @t199 () (_ (_ @t198 @t1) @t5)) % 213.94/214.21 (define @t200 () (@var "F" (-> tptp.subst tptp.term tptp.term))) % 213.94/214.21 (define @t201 () (_ @t200 @t1)) % 213.94/214.21 (define @t202 () (_ @t201 @t5)) % 213.94/214.21 (define @t203 () (= @t202 @t199)) % 213.94/214.21 (define @t204 () (@list @t1 @t5)) % 213.94/214.21 (define @t205 () (forall @t204 @t203)) % 213.94/214.21 (define @t206 () (lambda @t204 @t199)) % 213.94/214.21 (define @t207 () (_ tptp.hoaslam tptp.id)) % 213.94/214.21 (define @t208 () (lambda @t204 @t202)) % 213.94/214.21 (define @t209 () (_ @t207 @t208)) % 213.94/214.21 (define @t210 () (= @t209 (_ @t207 @t206))) % 213.94/214.21 (define @t211 () (=> @t210 @t205)) % 213.94/214.21 (define @t212 () (_ (_ @t198 @t38) @t61)) % 213.94/214.21 (define @t213 () (_ (_ tptp.sub @t199) @t37)) % 213.94/214.21 (define @t214 () (= @t213 @t212)) % 213.94/214.21 (define @t215 () (@list @t1 @t5 @t37)) % 213.94/214.21 (define @t216 () (forall @t215 @t214)) % 213.94/214.21 (define @t217 () (=> @t216 @t211)) % 213.94/214.21 (define @t218 () (@list @t198)) % 213.94/214.21 (define @t219 () (forall @t218 @t217)) % 213.94/214.21 (define @t220 () (_ (_ @t200 @t38) @t61)) % 213.94/214.21 (define @t221 () (_ (_ tptp.sub @t202) @t37)) % 213.94/214.21 (define @t222 () (= @t221 @t220)) % 213.94/214.21 (define @t223 () (forall @t215 @t222)) % 213.94/214.21 (define @t224 () (=> @t223 @t219)) % 213.94/214.21 (define @t225 () (@list @t200)) % 213.94/214.21 (define @t226 () (forall @t225 @t224)) % 213.94/214.21 (define @t227 () (= tptp.hoaslaminj @t226)) % 213.94/214.21 (define @t228 () (=> tptp.hoasapinj2 tptp.hoaslaminj)) % 213.94/214.21 (define @t229 () (=> tptp.hoasapinj1 @t228)) % 213.94/214.21 (define @t230 () (=> tptp.termmset @t229)) % 213.94/214.21 (define @t231 () (=> tptp.substmonoid @t230)) % 213.94/214.21 (define @t232 () (=> tptp.induction2 @t231)) % 213.94/214.21 (define @t233 () (=> tptp.induction2lem @t232)) % 213.94/214.21 (define @t234 () (=> tptp.pushprop @t233)) % 213.94/214.21 (define @t235 () (=> tptp.induction @t234)) % 213.94/214.21 (define @t236 () (=> tptp.lamnotvar @t235)) % 213.94/214.21 (define @t237 () (=> tptp.apnotvar @t236)) % 213.94/214.21 (define @t238 () (=> tptp.lamnotap @t237)) % 213.94/214.21 (define @t239 () (=> tptp.shinj @t238)) % 213.94/214.21 (define @t240 () (=> tptp.laminj @t239)) % 213.94/214.21 (define @t241 () (=> tptp.apinj2 @t240)) % 213.94/214.21 (define @t242 () (=> tptp.apinj1 @t241)) % 213.94/214.21 (define @t243 () (=> tptp.ulamvarind @t242)) % 213.94/214.21 (define @t244 () (=> tptp.ulamvarsh @t243)) % 213.94/214.21 (define @t245 () (=> tptp.ulamvar1 @t244)) % 213.94/214.21 (define @t246 () (=> tptp.axscons @t245)) % 213.94/214.21 (define @t247 () (=> tptp.axvarshift @t246)) % 213.94/214.21 (define @t248 () (=> tptp.axidr @t247)) % 213.94/214.21 (define @t249 () (=> tptp.axmap @t248)) % 213.94/214.21 (define @t250 () (=> tptp.axassoc @t249)) % 213.94/214.21 (define @t251 () (=> tptp.axshiftcons @t250)) % 213.94/214.21 (define @t252 () (=> tptp.axidl @t251)) % 213.94/214.21 (define @t253 () (=> tptp.axclos @t252)) % 213.94/214.21 (define @t254 () (=> tptp.axabs @t253)) % 213.94/214.21 (define @t255 () (=> tptp.axvarid @t254)) % 213.94/214.21 (define @t256 () (=> tptp.axvarcons @t255)) % 213.94/214.21 (define @t257 () (=> tptp.axapp @t256)) % 213.94/214.21 (define @t258 () (= tptp.hoaslaminj_gthm @t257)) % 213.94/214.21 (define @t259 () (_ @t190 @t2)) % 213.94/214.21 (define @t260 () (_ tptp.hoasvar tptp.id)) % 213.94/214.21 (define @t261 () (@var "P" (-> tptp.subst tptp.term tptp.subst Bool))) % 213.94/214.21 (define @t262 () (_ (_ tptp.hoasinduction_p_and_p_prime @t261) @t143)) % 213.94/214.21 (define @t263 () (@list @t261)) % 213.94/214.21 (define @t264 () (_ @t143 @t5)) % 213.94/214.21 (define @t265 () (_ @t261 tptp.id)) % 213.94/214.21 (define @t266 () (_ (_ @t265 @t5) tptp.id)) % 213.94/214.21 (define @t267 () (forall @t23 (=> (_ (_ @t260 @t5) tptp.id) @t266))) % 213.94/214.21 (define @t268 () (_ (_ (_ @t261 @t1) @t5) (_ (_ tptp.comp @t53) @t37))) % 213.94/214.21 (define @t269 () (_ (_ (_ @t261 (_ @t26 @t53)) (_ @t6 @t53)) @t37)) % 213.94/214.21 (define @t270 () (@list @t1 @t5 @t37 @t53)) % 213.94/214.21 (define @t271 () (forall @t270 (=> @t269 @t268))) % 213.94/214.21 (define @t272 () (forall @t270 (=> @t268 @t269))) % 213.94/214.21 (define @t273 () (@list @t261 @t143)) % 213.94/214.21 (define @t274 () (_ (_ @t265 @t2) tptp.id)) % 213.94/214.21 (define @t275 () (forall @t110 (=> @t266 (=> @t274 (_ (_ @t265 @t259) tptp.id))))) % 213.94/214.21 (define @t276 () (=> (forall @t23 (=> @t266 (_ (_ @t265 (_ (_ @t200 tptp.id) @t5)) tptp.id))) (_ (_ @t265 @t209) tptp.id))) % 213.94/214.21 (define @t277 () (forall @t225 (=> @t223 @t276))) % 213.94/214.21 (define @t278 () (=> @t277 (=> @t262 (forall @t23 (=> (forall @t154 (=> @t159 (_ @t143 @t169))) (_ @t143 @t32)))))) % 213.94/214.21 (define @t279 () (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction (=> tptp.pushprop (=> tptp.induction2lem (=> tptp.induction2 (=> tptp.substmonoid (=> tptp.termmset (=> tptp.hoasapinj1 (=> tptp.hoasapinj2 (=> tptp.hoaslaminj (=> tptp.hoaslamnotap (=> tptp.hoaslamnotvar (=> tptp.hoasapnotvar tptp.hoasinduction_lem1))))))))))))))))))))))))))))))))))) % 213.94/214.21 (define @t280 () (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction (=> tptp.pushprop (=> tptp.induction2lem (=> tptp.induction2 (=> tptp.substmonoid (=> tptp.termmset (=> tptp.hoasapinj1 (=> tptp.hoasapinj2 (=> tptp.hoaslaminj (=> tptp.hoaslamnotap (=> tptp.hoaslamnotvar (=> tptp.hoasapnotvar tptp.hoasinduction_lem2))))))))))))))))))))))))))))))))))) % 213.94/214.21 (define @t281 () (forall @t154 (=> @t274 (_ (_ @t265 @t169) tptp.id)))) % 213.94/214.21 (define @t282 () (forall @t23 (=> @t281 (_ (_ @t265 (_ tptp.lam (_ @t6 @t70))) tptp.id)))) % 213.94/214.21 (define @t283 () (=> @t277 (forall @t23 (=> @t281 (_ (_ @t265 @t32) tptp.id))))) % 213.94/214.21 (define @t284 () (_ @t200 tptp.sh)) % 213.94/214.21 (define @t285 () (_ @t284 tptp.one)) % 213.94/214.21 (define @t286 () (=> @t275 (=> @t277 (forall @t23 @t266)))) % 213.94/214.21 (define @t287 () (=> tptp.hoasinduction_lem1 (=> tptp.hoasinduction_lem2 (=> tptp.hoasinduction_lem3 tptp.hoasinduction)))) % 213.94/214.21 (define @t288 () (not tptp.hoaslaminj_gthm)) % 213.94/214.21 (define @t289 () (@var "X" tptp.term)) % 213.94/214.21 (define @t290 () (_ @t143 @t289)) % 213.94/214.21 (define @t291 () (@list @t289)) % 213.94/214.21 (define @t292 () (lambda (@list @t5 @t1 @t83 @t143) (forall @t291 (= @t290 (_ @t83 (_ (_ tptp.sub @t289) @t16)))))) % 213.94/214.21 (define @t293 () (_ tptp.ap @t61)) % 213.94/214.21 (define @t294 () (_ @t293 @t2)) % 213.94/214.21 (define @t295 () (lambda (@list @t1 @t5 @t37 @t2) @t294)) % 213.94/214.21 (define @t296 () (_ tptp.lam @t285)) % 213.94/214.21 (define @t297 () (lambda (@list @t1 @t200) @t296)) % 213.94/214.21 (define @t298 () (lambda @t215 (_ tptp.var @t61))) % 213.94/214.21 (define @t299 () (lambda @t273 (forall @t291 (= @t290 (_ (_ @t265 @t289) tptp.id))))) % 213.94/214.21 (define @t300 () (@var "BOUND_VARIABLE_9581" tptp.term)) % 213.94/214.21 (define @t301 () (@var "BOUND_VARIABLE_9579" tptp.subst)) % 213.94/214.21 (define @t302 () (@var "BOUND_VARIABLE_9577" (-> tptp.subst tptp.term tptp.term))) % 213.94/214.21 (define @t303 () (= (_ @t200 @t301 @t300) (_ @t302 @t301 @t300))) % 213.94/214.21 (define @t304 () (_ @t200 tptp.sh tptp.one)) % 213.94/214.21 (define @t305 () (tptp.lam @t304)) % 213.94/214.21 (define @t306 () (not (= @t305 (tptp.lam (_ @t302 tptp.sh tptp.one))))) % 213.94/214.21 (define @t307 () (tptp.sub @t5 @t37)) % 213.94/214.21 (define @t308 () (tptp.comp @t1 @t37)) % 213.94/214.21 (define @t309 () (not (forall @t215 (= (tptp.sub (_ @t302 @t1 @t5) @t37) (_ @t302 @t308 @t307))))) % 213.94/214.21 (define @t310 () (_ @t200 @t308 @t307)) % 213.94/214.21 (define @t311 () (_ @t200 @t1 @t5)) % 213.94/214.21 (define @t312 () (tptp.sub @t311 @t37)) % 213.94/214.21 (define @t313 () (forall @t215 (= @t312 @t310))) % 213.94/214.21 (define @t314 () (not @t313)) % 213.94/214.21 (define @t315 () (or @t314 @t309 @t306 @t303)) % 213.94/214.21 (define @t316 () (@list @t200 @t302 @t301 @t300)) % 213.94/214.21 (define @t317 () (forall @t316 @t315)) % 213.94/214.21 (define @t318 () (tptp.push tptp.one tptp.sh)) % 213.94/214.21 (define @t319 () (tptp.sub @t5 @t318)) % 213.94/214.21 (define @t320 () (not (= (tptp.ap (tptp.sub @t2 @t318) @t96) (tptp.ap @t319 @t99)))) % 213.94/214.21 (define @t321 () (forall @t23 (= @t5 @t319))) % 213.94/214.21 (define @t322 () (tptp.sub @t5 @t308)) % 213.94/214.21 (define @t323 () (tptp.sub @t5 @t1)) % 213.94/214.21 (define @t324 () (tptp.sub @t323 @t37)) % 213.94/214.21 (define @t325 () (forall @t42 (= @t324 @t322))) % 213.94/214.21 (define @t326 () (forall @t46 (= @t1 (tptp.comp @t1 @t318)))) % 213.94/214.21 (define @t327 () (forall @t46 (= @t1 (tptp.comp @t318 @t1)))) % 213.94/214.21 (define @t328 () (tptp.comp @t37 @t53)) % 213.94/214.21 (define @t329 () (tptp.comp @t1 @t328)) % 213.94/214.21 (define @t330 () (tptp.comp @t308 @t53)) % 213.94/214.21 (define @t331 () (forall @t58 (= @t330 @t329))) % 213.94/214.21 (define @t332 () (@var "BOUND_VARIABLE_9397" tptp.term)) % 213.94/214.21 (define @t333 () (_ @t83 @t332)) % 213.94/214.21 (define @t334 () (tptp.lam @t5)) % 213.94/214.21 (define @t335 () (_ @t83 @t334)) % 213.94/214.21 (define @t336 () (_ @t83 @t2)) % 213.94/214.21 (define @t337 () (not @t336)) % 213.94/214.21 (define @t338 () (not (forall @t23 (or (not (forall @t154 (or @t337 (_ @t83 (tptp.sub @t5 (tptp.push @t2 @t318)))))) @t335)))) % 213.94/214.21 (define @t339 () (tptp.ap @t5 @t2)) % 213.94/214.21 (define @t340 () (_ @t83 @t339)) % 213.94/214.21 (define @t341 () (_ @t83 @t5)) % 213.94/214.21 (define @t342 () (not @t341)) % 213.94/214.21 (define @t343 () (forall @t110 (or @t342 @t337 @t340))) % 213.94/214.21 (define @t344 () (not @t343)) % 213.94/214.21 (define @t345 () (tptp.var @t5)) % 213.94/214.21 (define @t346 () (not @t345)) % 213.94/214.21 (define @t347 () (forall @t23 (or @t346 @t341))) % 213.94/214.21 (define @t348 () (not @t347)) % 213.94/214.21 (define @t349 () (@list @t83 @t332)) % 213.94/214.21 (define @t350 () (@var "BOUND_VARIABLE_9372" tptp.subst)) % 213.94/214.21 (define @t351 () (@var "BOUND_VARIABLE_9370" tptp.term)) % 213.94/214.21 (define @t352 () (_ @t83 (tptp.sub @t351 @t350))) % 213.94/214.21 (define @t353 () (tptp.var @t2)) % 213.94/214.21 (define @t354 () (not @t353)) % 213.94/214.21 (define @t355 () (not (forall @t154 (or @t354 (_ @t83 (tptp.sub @t2 @t350)))))) % 213.94/214.21 (define @t356 () (@list @t83 @t351 @t350)) % 213.94/214.21 (define @t357 () (tptp.push @t5 @t1)) % 213.94/214.21 (define @t358 () (@var "BOUND_VARIABLE_9325" tptp.term)) % 213.94/214.21 (define @t359 () (_ @t83 (tptp.sub @t358 @t357))) % 213.94/214.21 (define @t360 () (not (tptp.var @t358))) % 213.94/214.21 (define @t361 () (tptp.sub @t2 @t1)) % 213.94/214.21 (define @t362 () (_ @t83 @t361)) % 213.94/214.21 (define @t363 () (forall @t154 (or @t354 @t362))) % 213.94/214.21 (define @t364 () (not @t363)) % 213.94/214.21 (define @t365 () (or @t364 @t342 @t360 @t359)) % 213.94/214.21 (define @t366 () (@list @t83 @t5 @t1 @t358)) % 213.94/214.21 (define @t367 () (forall @t366 @t365)) % 213.94/214.21 (define @t368 () (@var "BOUND_VARIABLE_9171" tptp.term)) % 213.94/214.21 (define @t369 () (_ @t83 @t368)) % 213.94/214.21 (define @t370 () (forall @t23 (or @t342 @t335))) % 213.94/214.21 (define @t371 () (not @t370)) % 213.94/214.21 (define @t372 () (or @t348 @t344 @t371 @t369)) % 213.94/214.21 (define @t373 () (forall (@list @t83 @t368) @t372)) % 213.94/214.21 (define @t374 () (tptp.var @t334)) % 213.94/214.21 (define @t375 () (forall @t23 (not @t374))) % 213.94/214.21 (define @t376 () (tptp.var @t339)) % 213.94/214.21 (define @t377 () (forall @t110 (not @t376))) % 213.94/214.21 (define @t378 () (tptp.ap @t2 @t99)) % 213.94/214.21 (define @t379 () (forall @t120 (not (= @t334 @t378)))) % 213.94/214.21 (define @t380 () (tptp.sub @t2 tptp.sh)) % 213.94/214.21 (define @t381 () (tptp.sub @t5 tptp.sh)) % 213.94/214.21 (define @t382 () (forall @t110 (or (not (= @t381 @t380)) @t95))) % 213.94/214.21 (define @t383 () (tptp.lam @t2)) % 213.94/214.21 (define @t384 () (forall @t110 (or (not (= @t334 @t383)) @t95))) % 213.94/214.21 (define @t385 () (tptp.ap @t2 @t96)) % 213.94/214.21 (define @t386 () (tptp.ap @t5 @t99)) % 213.94/214.21 (define @t387 () (not (= @t386 @t385))) % 213.94/214.21 (define @t388 () (forall @t102 (or @t387 @t105))) % 213.94/214.21 (define @t389 () (forall @t102 (or @t387 @t95))) % 213.94/214.21 (define @t390 () (@var "BOUND_VARIABLE_9075" tptp.term)) % 213.94/214.21 (define @t391 () (_ @t83 @t390)) % 213.94/214.21 (define @t392 () (not (tptp.var @t390))) % 213.94/214.21 (define @t393 () (_ @t83 @t381)) % 213.94/214.21 (define @t394 () (forall @t23 (or @t346 @t342 @t393))) % 213.94/214.21 (define @t395 () (not @t394)) % 213.94/214.21 (define @t396 () (_ @t83 tptp.one)) % 213.94/214.21 (define @t397 () (not @t396)) % 213.94/214.21 (define @t398 () (or @t397 @t395 @t392 @t391)) % 213.94/214.21 (define @t399 () (@list @t83 @t390)) % 213.94/214.21 (define @t400 () (forall @t399 @t398)) % 213.94/214.21 (define @t401 () (tptp.var @t381)) % 213.94/214.21 (define @t402 () (forall @t23 (or @t346 @t401))) % 213.94/214.21 (define @t403 () (=> @t402 (=> @t400 (=> @t389 (=> @t388 (=> @t384 (=> @t382 (=> @t379 (=> @t377 (=> @t375 (=> @t373 (=> @t367 (=> (forall @t356 (or @t344 @t338 @t355 @t352)) (=> (forall @t349 (or @t348 @t344 @t338 @t333)) (=> (and @t331 @t327 @t326) (=> (and @t325 @t321) (=> (forall @t102 (or @t320 @t95)) (=> (forall @t102 (or @t320 @t105)) @t317)))))))))))))))))) % 213.94/214.21 (define @t404 () (tptp.var tptp.one)) % 213.94/214.21 (define @t405 () (=> @t77 @t403)) % 213.94/214.21 (define @t406 () (tptp.comp tptp.sh @t1)) % 213.94/214.21 (define @t407 () (tptp.sub tptp.one @t1)) % 213.94/214.21 (define @t408 () (tptp.push @t407 @t406)) % 213.94/214.21 (define @t409 () (forall @t46 (= @t1 @t408))) % 213.94/214.21 (define @t410 () (=> @t409 @t405)) % 213.94/214.21 (define @t411 () (=> @t326 @t410)) % 213.94/214.21 (define @t412 () (tptp.push @t307 @t308)) % 213.94/214.21 (define @t413 () (tptp.comp @t357 @t37)) % 213.94/214.21 (define @t414 () (forall @t42 (= @t413 @t412))) % 213.94/214.21 (define @t415 () (=> @t414 @t411)) % 213.94/214.21 (define @t416 () (=> @t331 @t415)) % 213.94/214.21 (define @t417 () (tptp.comp tptp.sh @t357)) % 213.94/214.21 (define @t418 () (forall @t19 (= @t1 @t417))) % 213.94/214.21 (define @t419 () (=> @t418 @t416)) % 213.94/214.21 (define @t420 () (=> @t327 @t419)) % 213.94/214.21 (define @t421 () (=> @t325 @t420)) % 213.94/214.21 (define @t422 () (tptp.comp @t1 tptp.sh)) % 213.94/214.21 (define @t423 () (tptp.push tptp.one @t422)) % 213.94/214.21 (define @t424 () (tptp.sub @t5 @t423)) % 213.94/214.21 (define @t425 () (tptp.lam @t424)) % 213.94/214.21 (define @t426 () (tptp.sub @t334 @t1)) % 213.94/214.21 (define @t427 () (forall @t19 (= @t426 @t425))) % 213.94/214.21 (define @t428 () (=> @t427 @t421)) % 213.94/214.21 (define @t429 () (=> @t321 @t428)) % 213.94/214.21 (define @t430 () (tptp.sub tptp.one @t357)) % 213.94/214.21 (define @t431 () (forall @t19 (= @t5 @t430))) % 213.94/214.21 (define @t432 () (=> @t431 @t429)) % 213.94/214.21 (define @t433 () (tptp.ap @t323 @t361)) % 213.94/214.21 (define @t434 () (tptp.sub @t339 @t1)) % 213.94/214.21 (define @t435 () (forall @t13 (= @t434 @t433))) % 213.94/214.21 (define @t436 () (=> @t435 @t432)) % 213.94/214.21 (define @t437 () (tptp.sub @t5 @t70)) % 213.94/214.21 (define @t438 () (tptp.ap @t437 @t99)) % 213.94/214.21 (define @t439 () (tptp.sub @t2 @t70)) % 213.94/214.21 (define @t440 () (tptp.ap @t439 @t96)) % 213.94/214.21 (define @t441 () (= @t440 @t438)) % 213.94/214.21 (define @t442 () (not @t441)) % 213.94/214.21 (define @t443 () (or @t442 @t105)) % 213.94/214.21 (define @t444 () (not (= @t438 @t440))) % 213.94/214.21 (define @t445 () (or @t444 @t105)) % 213.94/214.21 (define @t446 () (forall @t102 @t445)) % 213.94/214.21 (define @t447 () (=> @t446 @t317)) % 213.94/214.21 (define @t448 () (or @t442 @t95)) % 213.94/214.21 (define @t449 () (or @t444 @t95)) % 213.94/214.21 (define @t450 () (forall @t102 @t449)) % 213.94/214.21 (define @t451 () (=> @t450 @t447)) % 213.94/214.21 (define @t452 () (= @t5 @t437)) % 213.94/214.21 (define @t453 () (forall @t23 @t452)) % 213.94/214.21 (define @t454 () (and @t325 @t453)) % 213.94/214.21 (define @t455 () (=> @t454 @t451)) % 213.94/214.21 (define @t456 () (tptp.comp @t1 @t70)) % 213.94/214.21 (define @t457 () (= @t1 @t456)) % 213.94/214.21 (define @t458 () (forall @t46 @t457)) % 213.94/214.21 (define @t459 () (tptp.comp @t70 @t1)) % 213.94/214.21 (define @t460 () (= @t1 @t459)) % 213.94/214.21 (define @t461 () (forall @t46 @t460)) % 213.94/214.21 (define @t462 () (and @t331 @t461 @t458)) % 213.94/214.21 (define @t463 () (=> @t462 @t455)) % 213.94/214.21 (define @t464 () (tptp.push @t2 @t70)) % 213.94/214.21 (define @t465 () (tptp.sub @t5 @t464)) % 213.94/214.21 (define @t466 () (_ @t83 @t465)) % 213.94/214.21 (define @t467 () (or @t337 @t466)) % 213.94/214.21 (define @t468 () (forall @t154 @t467)) % 213.94/214.21 (define @t469 () (not @t468)) % 213.94/214.21 (define @t470 () (or @t469 @t335)) % 213.94/214.21 (define @t471 () (forall @t23 @t470)) % 213.94/214.21 (define @t472 () (not @t471)) % 213.94/214.21 (define @t473 () (or @t348 @t344 @t472 @t333)) % 213.94/214.21 (define @t474 () (forall @t349 @t473)) % 213.94/214.21 (define @t475 () (=> @t474 @t463)) % 213.94/214.21 (define @t476 () (or @t344 @t472 @t355 @t352)) % 213.94/214.21 (define @t477 () (forall @t356 @t476)) % 213.94/214.21 (define @t478 () (=> @t477 @t475)) % 213.94/214.21 (define @t479 () (=> @t367 @t478)) % 213.94/214.21 (define @t480 () (=> @t373 @t479)) % 213.94/214.21 (define @t481 () (=> @t375 @t480)) % 213.94/214.21 (define @t482 () (=> @t377 @t481)) % 213.94/214.21 (define @t483 () (=> @t379 @t482)) % 213.94/214.21 (define @t484 () (=> @t382 @t483)) % 213.94/214.21 (define @t485 () (=> @t384 @t484)) % 213.94/214.21 (define @t486 () (=> @t388 @t485)) % 213.94/214.21 (define @t487 () (=> @t389 @t486)) % 213.94/214.21 (define @t488 () (=> @t400 @t487)) % 213.94/214.21 (define @t489 () (=> @t402 @t488)) % 213.94/214.21 (define @t490 () (=> @t77 @t489)) % 213.94/214.21 (define @t491 () (=> @t409 @t490)) % 213.94/214.21 (define @t492 () (=> (= @t70 @t70) @t491)) % 213.94/214.21 (define @t493 () (=> @t458 @t492)) % 213.94/214.21 (define @t494 () (=> @t414 @t493)) % 213.94/214.21 (define @t495 () (=> @t331 @t494)) % 213.94/214.21 (define @t496 () (=> @t418 @t495)) % 213.94/214.21 (define @t497 () (=> @t461 @t496)) % 213.94/214.21 (define @t498 () (=> @t325 @t497)) % 213.94/214.21 (define @t499 () (=> @t427 @t498)) % 213.94/214.21 (define @t500 () (=> @t453 @t499)) % 213.94/214.21 (define @t501 () (=> @t431 @t500)) % 213.94/214.21 (define @t502 () (=> @t435 @t501)) % 213.94/214.21 (define @t503 () (tptp.sub @t2 tptp.id)) % 213.94/214.21 (define @t504 () (tptp.ap @t503 @t96)) % 213.94/214.21 (define @t505 () (tptp.sub @t5 tptp.id)) % 213.94/214.21 (define @t506 () (tptp.ap @t505 @t99)) % 213.94/214.21 (define @t507 () (= @t506 @t504)) % 213.94/214.21 (define @t508 () (not @t507)) % 213.94/214.21 (define @t509 () (or @t508 @t105)) % 213.94/214.21 (define @t510 () (forall @t102 @t509)) % 213.94/214.21 (define @t511 () (=> @t510 @t317)) % 213.94/214.21 (define @t512 () (or @t508 @t95)) % 213.94/214.21 (define @t513 () (forall @t102 @t512)) % 213.94/214.21 (define @t514 () (=> @t513 @t511)) % 213.94/214.21 (define @t515 () (= @t5 @t505)) % 213.94/214.21 (define @t516 () (forall @t23 @t515)) % 213.94/214.21 (define @t517 () (and @t325 @t516)) % 213.94/214.21 (define @t518 () (=> @t517 @t514)) % 213.94/214.21 (define @t519 () (tptp.comp @t1 tptp.id)) % 213.94/214.21 (define @t520 () (= @t1 @t519)) % 213.94/214.21 (define @t521 () (forall @t46 @t520)) % 213.94/214.21 (define @t522 () (tptp.comp tptp.id @t1)) % 213.94/214.21 (define @t523 () (= @t1 @t522)) % 213.94/214.21 (define @t524 () (forall @t46 @t523)) % 213.94/214.21 (define @t525 () (and @t331 @t524 @t521)) % 213.94/214.21 (define @t526 () (=> @t525 @t518)) % 213.94/214.21 (define @t527 () (tptp.push @t2 tptp.id)) % 213.94/214.21 (define @t528 () (tptp.sub @t5 @t527)) % 213.94/214.21 (define @t529 () (_ @t83 @t528)) % 213.94/214.21 (define @t530 () (or @t337 @t529)) % 213.94/214.21 (define @t531 () (forall @t154 @t530)) % 213.94/214.21 (define @t532 () (not @t531)) % 213.94/214.21 (define @t533 () (or @t532 @t335)) % 213.94/214.21 (define @t534 () (forall @t23 @t533)) % 213.94/214.21 (define @t535 () (not @t534)) % 213.94/214.21 (define @t536 () (or @t348 @t344 @t535 @t333)) % 213.94/214.21 (define @t537 () (forall @t349 @t536)) % 213.94/214.21 (define @t538 () (=> @t537 @t526)) % 213.94/214.21 (define @t539 () (or @t344 @t535 @t355 @t352)) % 213.94/214.21 (define @t540 () (forall @t356 @t539)) % 213.94/214.21 (define @t541 () (=> @t540 @t538)) % 213.94/214.21 (define @t542 () (=> @t367 @t541)) % 213.94/214.21 (define @t543 () (=> @t373 @t542)) % 213.94/214.21 (define @t544 () (=> @t375 @t543)) % 213.94/214.21 (define @t545 () (=> @t377 @t544)) % 213.94/214.21 (define @t546 () (=> @t379 @t545)) % 213.94/214.21 (define @t547 () (=> @t382 @t546)) % 213.94/214.21 (define @t548 () (=> @t384 @t547)) % 213.94/214.21 (define @t549 () (=> @t388 @t548)) % 213.94/214.21 (define @t550 () (=> @t389 @t549)) % 213.94/214.21 (define @t551 () (=> @t400 @t550)) % 213.94/214.21 (define @t552 () (=> @t402 @t551)) % 213.94/214.21 (define @t553 () (=> @t77 @t552)) % 213.94/214.21 (define @t554 () (=> @t409 @t553)) % 213.94/214.21 (define @t555 () (= tptp.id @t70)) % 213.94/214.21 (define @t556 () (=> @t555 @t554)) % 213.94/214.21 (define @t557 () (=> @t521 @t556)) % 213.94/214.21 (define @t558 () (=> @t414 @t557)) % 213.94/214.21 (define @t559 () (=> @t331 @t558)) % 213.94/214.21 (define @t560 () (=> @t418 @t559)) % 213.94/214.21 (define @t561 () (=> @t524 @t560)) % 213.94/214.21 (define @t562 () (=> @t325 @t561)) % 213.94/214.21 (define @t563 () (=> @t427 @t562)) % 213.94/214.21 (define @t564 () (=> @t516 @t563)) % 213.94/214.21 (define @t565 () (=> @t431 @t564)) % 213.94/214.21 (define @t566 () (or @t309 @t306 @t303)) % 213.94/214.21 (define @t567 () (or @t314 @t566)) % 213.94/214.21 (define @t568 () (forall @t316 @t567)) % 213.94/214.21 (define @t569 () (@list @t302 @t301 @t300)) % 213.94/214.21 (define @t570 () (forall @t569 @t567)) % 213.94/214.21 (define @t571 () (forall @t569 @t566)) % 213.94/214.21 (define @t572 () (@var "BOUND_VARIABLE_9564" tptp.term)) % 213.94/214.21 (define @t573 () (@var "BOUND_VARIABLE_9562" tptp.subst)) % 213.94/214.21 (define @t574 () (or @t314 @t571)) % 213.94/214.21 (define @t575 () (= (_ @t200 @t573 @t572) (_ @t198 @t573 @t572))) % 213.94/214.21 (define @t576 () (_ @t198 tptp.sh tptp.one)) % 213.94/214.21 (define @t577 () (tptp.lam @t576)) % 213.94/214.21 (define @t578 () (not (= @t305 @t577))) % 213.94/214.21 (define @t579 () (_ @t198 @t308 @t307)) % 213.94/214.21 (define @t580 () (_ @t198 @t1 @t5)) % 213.94/214.21 (define @t581 () (tptp.sub @t580 @t37)) % 213.94/214.21 (define @t582 () (forall @t215 (= @t581 @t579))) % 213.94/214.21 (define @t583 () (not @t582)) % 213.94/214.21 (define @t584 () (or @t583 @t578 @t575)) % 213.94/214.21 (define @t585 () (forall (@list @t198 @t573 @t572) @t584)) % 213.94/214.21 (define @t586 () (@list @t573 @t572)) % 213.94/214.21 (define @t587 () (forall @t586 @t584)) % 213.94/214.21 (define @t588 () (forall @t586 @t575)) % 213.94/214.21 (define @t589 () (or @t583 @t578 @t588)) % 213.94/214.21 (define @t590 () (forall @t204 (= @t311 @t580))) % 213.94/214.21 (define @t591 () (_ @t198 tptp.sh)) % 213.94/214.21 (define @t592 () (_ @t591 tptp.one)) % 213.94/214.21 (define @t593 () (_ tptp.lam @t592)) % 213.94/214.21 (define @t594 () (= @t296 @t593)) % 213.94/214.21 (define @t595 () (not @t594)) % 213.94/214.21 (define @t596 () (or @t583 @t595 @t590)) % 213.94/214.21 (define @t597 () (=> @t594 @t590)) % 213.94/214.21 (define @t598 () (lambda @t23 (_ @t591 @t5))) % 213.94/214.21 (define @t599 () (_ @t206 tptp.sh)) % 213.94/214.21 (define @t600 () (lambda @t225 @t296)) % 213.94/214.21 (define @t601 () (_ @t297 tptp.id)) % 213.94/214.21 (define @t602 () (lambda @t23 (_ @t284 @t5))) % 213.94/214.21 (define @t603 () (_ @t208 tptp.sh)) % 213.94/214.21 (define @t604 () (= (_ @t601 @t208) (_ @t601 @t206))) % 213.94/214.21 (define @t605 () (=> @t604 @t205)) % 213.94/214.21 (define @t606 () (=> @t216 @t605)) % 213.94/214.21 (define @t607 () (forall @t218 @t606)) % 213.94/214.21 (define @t608 () (=> @t223 @t607)) % 213.94/214.21 (define @t609 () (forall @t225 @t608)) % 213.94/214.21 (define @t610 () (_ @t3 tptp.id)) % 213.94/214.21 (define @t611 () (_ tptp.ap @t610)) % 213.94/214.21 (define @t612 () (_ @t611 @t96)) % 213.94/214.21 (define @t613 () (_ tptp.ap @t22)) % 213.94/214.21 (define @t614 () (_ @t613 @t99)) % 213.94/214.21 (define @t615 () (= @t614 @t612)) % 213.94/214.21 (define @t616 () (not @t615)) % 213.94/214.21 (define @t617 () (or @t616 @t105)) % 213.94/214.21 (define @t618 () (@var "BOUND_VARIABLE_9441" tptp.term)) % 213.94/214.21 (define @t619 () (lambda (@list @t618) (_ @t611 @t618))) % 213.94/214.21 (define @t620 () (lambda (@list @t37 @t618) (_ (_ tptp.ap (_ @t3 @t37)) @t618))) % 213.94/214.21 (define @t621 () (lambda (@list @t5 @t37 @t2) @t294)) % 213.94/214.21 (define @t622 () (@list @t2)) % 213.94/214.21 (define @t623 () (_ @t295 tptp.id)) % 213.94/214.21 (define @t624 () (lambda @t154 (_ @t613 @t2))) % 213.94/214.21 (define @t625 () (lambda (@list @t37 @t2) @t294)) % 213.94/214.21 (define @t626 () (= (_ (_ (_ @t623 @t5) tptp.id) @t99) (_ (_ (_ @t623 @t2) tptp.id) @t96))) % 213.94/214.21 (define @t627 () (=> @t626 @t105)) % 213.94/214.21 (define @t628 () (forall @t102 @t627)) % 213.94/214.21 (define @t629 () (or @t616 @t95)) % 213.94/214.21 (define @t630 () (=> @t626 @t95)) % 213.94/214.21 (define @t631 () (forall @t102 @t630)) % 213.94/214.21 (define @t632 () (= @t5 @t22)) % 213.94/214.21 (define @t633 () (= @t1 @t67)) % 213.94/214.21 (define @t634 () (= @t1 @t45)) % 213.94/214.21 (define @t635 () (@list @t332)) % 213.94/214.21 (define @t636 () (forall @t635 @t536)) % 213.94/214.21 (define @t637 () (forall @t635 @t333)) % 213.94/214.21 (define @t638 () (@list @t5)) % 213.94/214.21 (define @t639 () (or @t348 @t344 @t535 @t637)) % 213.94/214.21 (define @t640 () (forall @t23 @t341)) % 213.94/214.21 (define @t641 () (or @t348 @t344 @t535 @t640)) % 213.94/214.21 (define @t642 () (or @t344 @t535 @t640)) % 213.94/214.21 (define @t643 () (=> @t534 @t640)) % 213.94/214.21 (define @t644 () (=> @t343 @t643)) % 213.94/214.21 (define @t645 () (or @t532 @t132)) % 213.94/214.21 (define @t646 () (not @t136)) % 213.94/214.21 (define @t647 () (or @t646 @t170)) % 213.94/214.21 (define @t648 () (not @t84)) % 213.94/214.21 (define @t649 () (or @t648 @t646 @t135)) % 213.94/214.21 (define @t650 () (not @t80)) % 213.94/214.21 (define @t651 () (or @t650 @t84)) % 213.94/214.21 (define @t652 () (or @t355 @t352)) % 213.94/214.21 (define @t653 () (or @t344 @t535 @t652)) % 213.94/214.21 (define @t654 () (forall @t356 @t653)) % 213.94/214.21 (define @t655 () (@list @t351 @t350)) % 213.94/214.21 (define @t656 () (forall @t655 @t653)) % 213.94/214.21 (define @t657 () (forall @t655 @t652)) % 213.94/214.21 (define @t658 () (or @t344 @t535 @t657)) % 213.94/214.21 (define @t659 () (_ @t83 @t323)) % 213.94/214.21 (define @t660 () (forall @t19 (or @t364 @t659))) % 213.94/214.21 (define @t661 () (or @t344 @t535 @t660)) % 213.94/214.21 (define @t662 () (=> @t534 @t660)) % 213.94/214.21 (define @t663 () (or @t364 @t165)) % 213.94/214.21 (define @t664 () (not @t153)) % 213.94/214.21 (define @t665 () (or @t664 @t152)) % 213.94/214.21 (define @t666 () (or @t360 @t359)) % 213.94/214.21 (define @t667 () (or @t364 @t342 @t666)) % 213.94/214.21 (define @t668 () (forall @t366 @t667)) % 213.94/214.21 (define @t669 () (@list @t358)) % 213.94/214.21 (define @t670 () (forall @t669 @t667)) % 213.94/214.21 (define @t671 () (forall @t669 @t666)) % 213.94/214.21 (define @t672 () (or @t364 @t342 @t671)) % 213.94/214.21 (define @t673 () (tptp.sub @t2 @t357)) % 213.94/214.21 (define @t674 () (_ @t83 @t673)) % 213.94/214.21 (define @t675 () (forall @t154 (or @t354 @t674))) % 213.94/214.21 (define @t676 () (or @t364 @t648 @t675)) % 213.94/214.21 (define @t677 () (=> @t84 @t675)) % 213.94/214.21 (define @t678 () (or @t664 @t157)) % 213.94/214.21 (define @t679 () (@list @t368)) % 213.94/214.21 (define @t680 () (forall @t679 @t372)) % 213.94/214.21 (define @t681 () (forall @t679 @t369)) % 213.94/214.21 (define @t682 () (or @t348 @t344 @t371 @t681)) % 213.94/214.21 (define @t683 () (or @t348 @t344 @t371 @t640)) % 213.94/214.21 (define @t684 () (or @t344 @t371 @t640)) % 213.94/214.21 (define @t685 () (=> @t370 @t640)) % 213.94/214.21 (define @t686 () (=> @t343 @t685)) % 213.94/214.21 (define @t687 () (or @t648 @t132)) % 213.94/214.21 (define @t688 () (not @t114)) % 213.94/214.21 (define @t689 () (or @t688 @t95)) % 213.94/214.21 (define @t690 () (not @t109)) % 213.94/214.21 (define @t691 () (or @t690 @t95)) % 213.94/214.21 (define @t692 () (not @t101)) % 213.94/214.21 (define @t693 () (or @t692 @t105)) % 213.94/214.21 (define @t694 () (or @t692 @t95)) % 213.94/214.21 (define @t695 () (or @t392 @t391)) % 213.94/214.21 (define @t696 () (or @t397 @t395 @t695)) % 213.94/214.21 (define @t697 () (forall @t399 @t696)) % 213.94/214.21 (define @t698 () (@list @t390)) % 213.94/214.21 (define @t699 () (forall @t698 @t696)) % 213.94/214.21 (define @t700 () (forall @t698 @t695)) % 213.94/214.21 (define @t701 () (or @t397 @t395 @t700)) % 213.94/214.21 (define @t702 () (not @t90)) % 213.94/214.21 (define @t703 () (or @t702 @t395 @t347)) % 213.94/214.21 (define @t704 () (=> @t394 @t347)) % 213.94/214.21 (define @t705 () (or @t650 @t648 @t86)) % 213.94/214.21 (define @t706 () (or @t650 @t79)) % 213.94/214.21 (define @t707 () (= @t1 @t74)) % 213.94/214.21 (define @t708 () (= @t1 @t50)) % 213.94/214.21 (define @t709 () (= @t5 @t18)) % 213.94/214.21 (define @t710 () (@quantifiers_skolemize @t317 3)) % 213.94/214.21 (define @t711 () (@quantifiers_skolemize @t317 2)) % 213.94/214.21 (define @t712 () (@quantifiers_skolemize @t317 1)) % 213.94/214.21 (define @t713 () (@quantifiers_skolemize @t317 0)) % 213.94/214.21 (define @t714 () (= (_ @t713 @t711 @t710) (_ @t712 @t711 @t710))) % 213.94/214.21 (define @t715 () (_ @t712 tptp.sh tptp.one)) % 213.94/214.21 (define @t716 () (_ @t713 tptp.sh tptp.one)) % 213.94/214.21 (define @t717 () (= (tptp.lam @t716) (tptp.lam @t715))) % 213.94/214.21 (define @t718 () (not @t717)) % 213.94/214.21 (define @t719 () (forall @t215 (= (tptp.sub (_ @t712 @t1 @t5) @t37) (_ @t712 @t308 @t307)))) % 213.94/214.21 (define @t720 () (not @t719)) % 213.94/214.21 (define @t721 () (forall @t215 (= (tptp.sub (_ @t713 @t1 @t5) @t37) (_ @t713 @t308 @t307)))) % 213.94/214.21 (define @t722 () (not @t721)) % 213.94/214.21 (define @t723 () (or @t722 @t720 @t718 @t714)) % 213.94/214.21 (define @t724 () (not @t714)) % 213.94/214.21 (define @t725 () (@list true)) % 213.94/214.21 (define @t726 () (@list @t723)) % 213.94/214.21 (define @t727 () (= @t716 @t715)) % 213.94/214.21 (define @t728 () (or @t718 @t727)) % 213.94/214.21 (define @t729 () (tptp.comp @t711 tptp.sh)) % 213.94/214.21 (define @t730 () (@list tptp.one @t729)) % 213.94/214.21 (define @t731 () (@list @t710 @t318)) % 213.94/214.21 (define @t732 () (tptp.push @t710 @t318)) % 213.94/214.21 (define @t733 () (tptp.push tptp.one @t729)) % 213.94/214.21 (define @t734 () (@list tptp.sh tptp.one @t733)) % 213.94/214.21 (define @t735 () (@list @t729 tptp.one @t732)) % 213.94/214.21 (define @t736 () (tptp.sub tptp.one @t732)) % 213.94/214.21 (define @t737 () (tptp.comp @t729 @t732)) % 213.94/214.21 (define @t738 () (_ @t712 @t737 @t736)) % 213.94/214.21 (define @t739 () (_ @t712 @t729 tptp.one)) % 213.94/214.21 (define @t740 () (tptp.sub @t739 @t732)) % 213.94/214.21 (define @t741 () (= @t740 @t738)) % 213.94/214.21 (define @t742 () (not @t741)) % 213.94/214.21 (define @t743 () (tptp.sub tptp.one @t733)) % 213.94/214.21 (define @t744 () (tptp.comp tptp.sh @t733)) % 213.94/214.21 (define @t745 () (tptp.sub @t715 @t733)) % 213.94/214.21 (define @t746 () (= @t745 (_ @t712 @t744 @t743))) % 213.94/214.21 (define @t747 () (not @t746)) % 213.94/214.21 (define @t748 () (_ @t713 @t737 @t736)) % 213.94/214.21 (define @t749 () (= (tptp.sub (_ @t713 @t729 tptp.one) @t732) @t748)) % 213.94/214.21 (define @t750 () (not @t749)) % 213.94/214.21 (define @t751 () (_ @t713 @t744 @t743)) % 213.94/214.21 (define @t752 () (= (tptp.sub @t716 @t733) @t751)) % 213.94/214.21 (define @t753 () (not @t752)) % 213.94/214.21 (define @t754 () (tptp.comp tptp.sh @t732)) % 213.94/214.21 (define @t755 () (tptp.comp @t711 @t754)) % 213.94/214.21 (define @t756 () (= @t737 @t755)) % 213.94/214.21 (define @t757 () (not @t756)) % 213.94/214.21 (define @t758 () (= @t710 @t736)) % 213.94/214.21 (define @t759 () (not @t758)) % 213.94/214.21 (define @t760 () (= @t318 @t754)) % 213.94/214.21 (define @t761 () (not @t760)) % 213.94/214.21 (define @t762 () (= @t729 @t744)) % 213.94/214.21 (define @t763 () (not @t762)) % 213.94/214.21 (define @t764 () (= tptp.one @t743)) % 213.94/214.21 (define @t765 () (not @t764)) % 213.94/214.21 (define @t766 () (tptp.comp @t711 @t318)) % 213.94/214.21 (define @t767 () (= @t711 @t766)) % 213.94/214.21 (define @t768 () (not @t767)) % 213.94/214.21 (define @t769 () (tptp.sub @t710 @t318)) % 213.94/214.21 (define @t770 () (= @t710 @t769)) % 213.94/214.21 (define @t771 () (not @t770)) % 213.94/214.21 (define @t772 () (not @t727)) % 213.94/214.21 (define @t773 () (and @t724 @t727 @t770 @t767 @t764 @t762 @t760 @t758 @t756 @t752 @t749 @t746)) % 213.94/214.21 (assume @p1 @t15) % 213.94/214.21 (assume @p2 @t21) % 213.94/214.21 (assume @p3 @t25) % 213.94/214.21 (assume @p4 @t36) % 213.94/214.21 (assume @p5 @t44) % 213.94/214.21 (assume @p6 @t48) % 213.94/214.21 (assume @p7 @t52) % 213.94/214.21 (assume @p8 @t60) % 213.94/214.21 (assume @p9 @t66) % 213.94/214.21 (assume @p10 @t69) % 213.94/214.21 (assume @p11 @t71) % 213.94/214.21 (assume @p12 @t76) % 213.94/214.21 (assume @p13 (= tptp.ulamvar1 @t77)) % 213.94/214.21 (assume @p14 @t82) % 213.94/214.21 (assume @p15 @t94) % 213.94/214.21 (assume @p16 @t104) % 213.94/214.21 (assume @p17 @t107) % 213.94/214.21 (assume @p18 @t112) % 213.94/214.21 (assume @p19 @t116) % 213.94/214.21 (assume @p20 @t122) % 213.94/214.21 (assume @p21 @t126) % 213.94/214.21 (assume @p22 @t130) % 213.94/214.21 (assume @p23 @t142) % 213.94/214.21 (assume @p24 (= tptp.pushprop_lem0 (forall @t146 (exists @t145 @t144)))) % 213.94/214.21 (assume @p25 (= tptp.pushprop_lem0_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction tptp.pushprop_lem0))))))))))))))))))))))))) % 213.94/214.21 (assume @p26 (= tptp.pushprop_lem0_lthm tptp.pushprop_lem0)) % 213.94/214.21 (assume @p27 (= tptp.pushprop_lem1 (forall (@list @t83 @t148 @t5 @t1 @t2) (=> @t84 (_ @t148 (_ @t6 (_ @t147 @t1))))))) % 213.94/214.21 (assume @p28 (= tptp.pushprop_lem1_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction tptp.pushprop_lem1))))))))))))))))))))))))) % 213.94/214.21 (assume @p29 (= tptp.pushprop_lem1_lthm (=> tptp.axvarcons (=> tptp.axclos (=> tptp.axshiftcons (=> tptp.ulamvarind tptp.pushprop_lem1)))))) % 213.94/214.21 (assume @p30 (= tptp.pushprop_lem1v2 (forall @t149 (=> @t84 (=> @t144 (_ @t143 tptp.one)))))) % 213.94/214.21 (assume @p31 (= tptp.pushprop_lem1v2_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction tptp.pushprop_lem1v2))))))))))))))))))))))))) % 213.94/214.21 (assume @p32 (= tptp.pushprop_lem1v2_lthm (=> tptp.axvarcons tptp.pushprop_lem1v2))) % 213.94/214.21 (assume @p33 (= tptp.pushprop_lem2v2 (forall @t149 (=> @t144 (=> @t155 (forall @t151 (=> (_ tptp.var @t99) (=> (_ @t143 @t99) (_ @t143 (_ @t150 tptp.sh)))))))))) % 213.94/214.21 (assume @p34 (= tptp.pushprop_lem2v2_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction tptp.pushprop_lem2v2))))))))))))))))))))))))) % 213.94/214.21 (assume @p35 (= tptp.pushprop_lem2v2_lthm (=> tptp.axclos (=> tptp.axshiftcons tptp.pushprop_lem2v2)))) % 213.94/214.21 (assume @p36 (= tptp.pushprop_lem3v2 (forall @t149 (=> @t144 (=> (forall @t154 (=> @t153 @t159)) @t158))))) % 213.94/214.21 (assume @p37 (= tptp.pushprop_lem3v2_lthm tptp.pushprop_lem3v2)) % 213.94/214.21 (assume @p38 @t163) % 213.94/214.21 (assume @p39 (= tptp.pushprop_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction tptp.pushprop))))))))))))))))))))))))) % 213.94/214.21 (assume @p40 (= tptp.pushprop_lthm_orig @t164)) % 213.94/214.21 (assume @p41 (= tptp.pushprop_lthm (=> tptp.pushprop_lem0 @t164))) % 213.94/214.21 (assume @p42 @t177) % 213.94/214.21 (assume @p43 (= tptp.induction2lem_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar @t178)))))))))))))))))))))))) % 213.94/214.21 (assume @p44 (= tptp.induction2lem_lthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axabs (=> tptp.axclos (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr @t178)))))))))) % 213.94/214.21 (assume @p45 @t183) % 213.94/214.21 (assume @p46 (= tptp.induction2_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction (=> tptp.pushprop @t184)))))))))))))))))))))))))) % 213.94/214.21 (assume @p47 (= tptp.induction2_lthm (=> tptp.axvarid @t184))) % 213.94/214.21 (assume @p48 @t186) % 213.94/214.21 (assume @p49 (= tptp.substmonoid_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction (=> tptp.pushprop (=> tptp.induction2lem (=> tptp.induction2 tptp.substmonoid)))))))))))))))))))))))))))) % 213.94/214.21 (assume @p50 (= tptp.substmonoid_lthm (=> tptp.axidl (=> tptp.axassoc (=> tptp.axidr tptp.substmonoid))))) % 213.94/214.21 (assume @p51 @t188) % 213.94/214.21 (assume @p52 (= tptp.termmset_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction (=> tptp.pushprop (=> tptp.induction2lem (=> tptp.induction2 (=> tptp.substmonoid tptp.termmset))))))))))))))))))))))))))))) % 213.94/214.21 (assume @p53 (= tptp.termmset_lthm (=> tptp.axvarid (=> tptp.axclos tptp.termmset)))) % 213.94/214.21 (assume @p54 @t194) % 213.94/214.21 (assume @p55 (= tptp.hoasapinj1_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction (=> tptp.pushprop (=> tptp.induction2lem (=> tptp.induction2 (=> tptp.substmonoid (=> tptp.termmset tptp.hoasapinj1)))))))))))))))))))))))))))))) % 213.94/214.21 (assume @p56 (= tptp.hoasapinj1_lthm (=> tptp.axvarid (=> tptp.apinj1 tptp.hoasapinj1)))) % 213.94/214.21 (assume @p57 @t197) % 213.94/214.21 (assume @p58 (= tptp.hoasapinj2_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction (=> tptp.pushprop (=> tptp.induction2lem (=> tptp.induction2 (=> tptp.substmonoid (=> tptp.termmset (=> tptp.hoasapinj1 tptp.hoasapinj2))))))))))))))))))))))))))))))) % 213.94/214.21 (assume @p59 (= tptp.hoasapinj2_lthm (=> tptp.apinj2 tptp.hoasapinj2))) % 213.94/214.21 (assume @p60 @t227) % 213.94/214.21 (assume @p61 @t258) % 213.94/214.21 (assume @p62 (= tptp.hoaslaminj_lthm (=> tptp.axvarcons (=> tptp.axshiftcons (=> tptp.laminj tptp.hoaslaminj))))) % 213.94/214.21 (assume @p63 (= tptp.hoaslamnotap (forall @t225 (=> @t223 (forall @t110 (not (= (_ @t207 (lambda (@list @t1 @t99) (_ @t201 @t99))) @t259))))))) % 213.94/214.21 (assume @p64 (= tptp.hoaslamnotap_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction (=> tptp.pushprop (=> tptp.induction2lem (=> tptp.induction2 (=> tptp.substmonoid (=> tptp.termmset (=> tptp.hoasapinj1 (=> tptp.hoasapinj2 (=> tptp.hoaslaminj tptp.hoaslamnotap))))))))))))))))))))))))))))))))) % 213.94/214.21 (assume @p65 (= tptp.hoaslamnotap_lthm (=> tptp.lamnotap tptp.hoaslamnotap))) % 213.94/214.21 (assume @p66 (= tptp.hoaslamnotvar (forall @t225 (=> @t223 (not (_ (_ @t260 @t209) tptp.id)))))) % 213.94/214.21 (assume @p67 (= tptp.hoaslamnotvar_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction (=> tptp.pushprop (=> tptp.induction2lem (=> tptp.induction2 (=> tptp.substmonoid (=> tptp.termmset (=> tptp.hoasapinj1 (=> tptp.hoasapinj2 (=> tptp.hoaslaminj (=> tptp.hoaslamnotap tptp.hoaslamnotvar)))))))))))))))))))))))))))))))))) % 213.94/214.21 (assume @p68 (= tptp.hoaslamnotvar_lthm (=> tptp.axvarid (=> tptp.lamnotvar tptp.hoaslamnotvar)))) % 213.94/214.21 (assume @p69 (= tptp.hoasapnotvar (forall @t110 (not (_ (_ @t260 @t259) tptp.id))))) % 213.94/214.21 (assume @p70 (= tptp.hoasapnotvar_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction (=> tptp.pushprop (=> tptp.induction2lem (=> tptp.induction2 (=> tptp.substmonoid (=> tptp.termmset (=> tptp.hoasapinj1 (=> tptp.hoasapinj2 (=> tptp.hoaslaminj (=> tptp.hoaslamnotap (=> tptp.hoaslamnotvar tptp.hoasapnotvar))))))))))))))))))))))))))))))))))) % 213.94/214.21 (assume @p71 (= tptp.hoasapnotvar_lthm (=> tptp.axvarid (=> tptp.apnotvar tptp.hoasapnotvar)))) % 213.94/214.21 (assume @p72 (= tptp.hoasinduction_lem0 (forall @t263 (exists @t145 @t262)))) % 213.94/214.21 (assume @p73 (= tptp.hoasinduction_lem0_lthm tptp.hoasinduction_lem0)) % 213.94/214.21 (assume @p74 (= tptp.hoasinduction_lem1v2 (forall @t273 (=> @t272 (=> @t271 (=> @t267 (=> @t262 (forall @t23 (=> @t80 @t264))))))))) % 213.94/214.21 (assume @p75 (= tptp.hoasinduction_lem1v2_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction (=> tptp.pushprop (=> tptp.induction2lem (=> tptp.induction2 (=> tptp.substmonoid (=> tptp.termmset (=> tptp.hoasapinj1 (=> tptp.hoasapinj2 (=> tptp.hoaslaminj (=> tptp.hoaslamnotap (=> tptp.hoaslamnotvar (=> tptp.hoasapnotvar tptp.hoasinduction_lem1v2)))))))))))))))))))))))))))))))))))) % 213.94/214.21 (assume @p76 (= tptp.hoasinduction_lem2v2 (forall @t273 (=> @t272 (=> @t271 (=> @t275 (=> @t262 (forall @t110 (=> @t264 (=> @t159 (_ @t143 @t10))))))))))) % 213.94/214.21 (assume @p77 (= tptp.hoasinduction_lem2v2_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction (=> tptp.pushprop (=> tptp.induction2lem (=> tptp.induction2 (=> tptp.substmonoid (=> tptp.termmset (=> tptp.hoasapinj1 (=> tptp.hoasapinj2 (=> tptp.hoaslaminj (=> tptp.hoaslamnotap (=> tptp.hoaslamnotvar (=> tptp.hoasapnotvar tptp.hoasinduction_lem2v2)))))))))))))))))))))))))))))))))))) % 213.94/214.21 (assume @p78 (= tptp.hoasinduction_lem3v2_f (forall @t154 (exists @t225 (forall @t19 (= @t202 @t156)))))) % 213.94/214.21 (assume @p79 (= tptp.hoasinduction_lem3v2_f_lthm tptp.hoasinduction_lem3v2_f)) % 213.94/214.21 (assume @p80 (= tptp.hoasinduction_lem3v2 (forall @t273 (=> @t272 (=> @t271 @t278))))) % 213.94/214.21 (assume @p81 (= tptp.hoasinduction_lem3v2_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction (=> tptp.pushprop (=> tptp.induction2lem (=> tptp.induction2 (=> tptp.substmonoid (=> tptp.termmset (=> tptp.hoasapinj1 (=> tptp.hoasapinj2 (=> tptp.hoaslaminj (=> tptp.hoaslamnotap (=> tptp.hoaslamnotvar (=> tptp.hoasapnotvar tptp.hoasinduction_lem3v2)))))))))))))))))))))))))))))))))))) % 213.94/214.21 (assume @p82 (= tptp.hoasinduction_lem3v2_lthm (=> tptp.axvarid (=> tptp.axvarshift (=> tptp.axclos (=> tptp.axmap tptp.hoasinduction_lem3v2)))))) % 213.94/214.21 (assume @p83 (= tptp.hoasinduction_lem3v2a (forall @t273 @t278))) % 213.94/214.21 (assume @p84 (= tptp.hoasinduction_lem3v2a_lthm (=> tptp.hoasinduction_lem3v2_f (=> tptp.axvarid (=> tptp.axvarshift (=> tptp.axclos (=> tptp.axmap tptp.hoasinduction_lem3v2a))))))) % 213.94/214.21 (assume @p85 (= tptp.hoasinduction_lem1 (forall @t263 (=> @t272 (=> @t271 (=> @t267 (forall @t23 (=> @t80 @t266)))))))) % 213.94/214.21 (assume @p86 (= tptp.hoasinduction_lem1_gthm @t279)) % 213.94/214.21 (assume @p87 (= tptp.hoasinduction_lem1_lthm @t279)) % 213.94/214.21 (assume @p88 (= tptp.hoasinduction_lem2 (forall @t263 (=> @t272 (=> @t271 (=> @t275 (forall @t110 (=> @t266 (=> @t274 (_ (_ @t265 @t10) tptp.id)))))))))) % 213.94/214.21 (assume @p89 (= tptp.hoasinduction_lem2_gthm @t280)) % 213.94/214.21 (assume @p90 (= tptp.hoasinduction_lem2_lthm @t280)) % 213.94/214.21 (assume @p91 (= tptp.hoasinduction_lem3aa (forall @t263 (=> @t277 @t282)))) % 213.94/214.21 (assume @p92 (= tptp.hoasinduction_lem3aa_lthm (=> tptp.axclos (=> tptp.axmap tptp.hoasinduction_lem3aa)))) % 213.94/214.21 (assume @p93 (= tptp.hoasinduction_lem3aaa (forall @t263 (=> (forall @t225 (=> (exists @t151 (forall @t215 (and (= @t221 (_ (_ tptp.sub (_ @t150 @t16)) @t37)) (= (_ @t150 @t62) @t220)))) @t276)) @t282)))) % 213.94/214.21 (assume @p94 (= tptp.hoasinduction_lem3 (forall @t263 (=> @t272 (=> @t271 @t283))))) % 213.94/214.21 (assume @p95 (= tptp.hoasinduction_lem3_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction (=> tptp.pushprop (=> tptp.induction2lem (=> tptp.induction2 (=> tptp.substmonoid (=> tptp.termmset (=> tptp.hoasapinj1 (=> tptp.hoasapinj2 (=> tptp.hoaslaminj (=> tptp.hoaslamnotap (=> tptp.hoaslamnotvar (=> tptp.hoasapnotvar (=> tptp.hoasinduction_lem1 (=> tptp.hoasinduction_lem2 tptp.hoasinduction_lem3)))))))))))))))))))))))))))))))))))))) % 213.94/214.21 (assume @p96 (= tptp.hoasinduction_lem3_lthm (=> tptp.axvarid (=> tptp.axvarshift (=> tptp.hoasinduction_lem3aa tptp.hoasinduction_lem3))))) % 213.94/214.21 (assume @p97 (= tptp.hoasinduction_lem3a (forall @t263 @t283))) % 213.94/214.21 (assume @p98 (= tptp.hoasinduction_lem3a_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction (=> tptp.pushprop (=> tptp.induction2lem (=> tptp.induction2 (=> tptp.substmonoid (=> tptp.termmset (=> tptp.hoasapinj1 (=> tptp.hoasapinj2 (=> tptp.hoaslaminj (=> tptp.hoaslamnotap (=> tptp.hoaslamnotvar (=> tptp.hoasapnotvar (=> tptp.hoasinduction_lem1 (=> tptp.hoasinduction_lem2 tptp.hoasinduction_lem3a)))))))))))))))))))))))))))))))))))))) % 213.94/214.21 (assume @p99 (= tptp.hoasinduction_lem3a_lthm (=> tptp.axvarid (=> tptp.axvarshift (=> tptp.hoasinduction_lem3aa tptp.hoasinduction_lem3a))))) % 213.94/214.21 (assume @p100 (= tptp.hoasinduction_lem3b (forall @t154 (exists @t225 (= (_ @t3 @t70) @t285))))) % 213.94/214.21 (assume @p101 (= tptp.hoasinduction_lem3b_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction (=> tptp.pushprop (=> tptp.induction2lem (=> tptp.induction2 (=> tptp.substmonoid (=> tptp.termmset (=> tptp.hoasapinj1 (=> tptp.hoasapinj2 (=> tptp.hoaslaminj (=> tptp.hoaslamnotap (=> tptp.hoaslamnotvar (=> tptp.hoasapnotvar (=> tptp.hoasinduction_lem1 (=> tptp.hoasinduction_lem2 tptp.hoasinduction_lem3b)))))))))))))))))))))))))))))))))))))) % 213.94/214.21 (assume @p102 (= tptp.hoasinduction_lem3b_lthm tptp.hoasinduction_lem3b)) % 213.94/214.21 (assume @p103 (= tptp.hoasinduction (forall @t263 (=> @t272 (=> @t271 (=> @t267 @t286)))))) % 213.94/214.21 (assume @p104 (= tptp.hoasinduction_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction (=> tptp.pushprop (=> tptp.induction2lem (=> tptp.induction2 (=> tptp.substmonoid (=> tptp.termmset (=> tptp.hoasapinj1 (=> tptp.hoasapinj2 (=> tptp.hoaslaminj (=> tptp.hoaslamnotap (=> tptp.hoaslamnotvar (=> tptp.hoasapnotvar @t287)))))))))))))))))))))))))))))))))))) % 213.94/214.21 (assume @p105 (= tptp.hoasinduction_lthm (=> tptp.induction2 @t287))) % 213.94/214.21 (assume @p106 (= tptp.hoasinduction_lthm_3 (=> tptp.hoasinduction_lem0 (=> tptp.induction2 (=> tptp.axvarid (=> tptp.hoasinduction_lem3v2a tptp.hoasinduction)))))) % 213.94/214.21 (assume @p107 (= tptp.hoasinduction_no_psi_cond (forall @t263 @t286))) % 213.94/214.21 (assume @p108 (= tptp.hoasinduction_no_psi_cond_lthm (=> tptp.hoasinduction_lem0 (=> tptp.induction2 (=> tptp.axvarid (=> tptp.hoasinduction_lem3v2a tptp.hoasinduction_no_psi_cond)))))) % 213.94/214.21 (assume @p109 @t288) % 213.94/214.21 (assume @p110 true) % 213.94/214.21 (step @p111 (= tptp.pushprop_p_and_p_prime @t292) :rule refl :args (@t292)) % 213.94/214.21 (step @p112 (= tptp.hoasap @t295) :rule refl :args (@t295)) % 213.94/214.21 (step @p113 (= tptp.hoaslam @t297) :rule refl :args (@t297)) % 213.94/214.21 (step @p114 (= tptp.hoasvar @t298) :rule refl :args (@t298)) % 213.94/214.21 (step @p115 (= tptp.hoasinduction_p_and_p_prime @t299) :rule refl :args (@t299)) % 213.94/214.21 (step @p116 :rule refl :args (@t403)) % 213.94/214.21 (step @p117 :rule refl :args (@t404)) % 213.94/214.21 (step @p118 :rule refl :args (@t77)) % 213.94/214.21 (step @p119 :rule cong :premises (@p118 @p117) :args ((= @t77 @t404))) % 213.94/214.21 (step @p120 :rule symm :premises (@p119)) % 213.94/214.21 (step @p121 :rule eq_resolve :premises (@p118 @p120)) % 213.94/214.21 (step @p122 :rule cong :premises (@p121 @p116) :args (@t405)) % 213.94/214.21 (step @p123 :rule refl :args (@t409)) % 213.94/214.21 (step @p124 :rule cong :premises (@p123 @p122) :args (@t410)) % 213.94/214.21 (step @p125 :rule refl :args (@t326)) % 213.94/214.21 (step @p126 :rule cong :premises (@p125 @p124) :args (@t411)) % 213.94/214.21 (step @p127 :rule refl :args (@t414)) % 213.94/214.21 (step @p128 :rule cong :premises (@p127 @p126) :args (@t415)) % 213.94/214.21 (step @p129 :rule refl :args (@t331)) % 213.94/214.21 (step @p130 :rule cong :premises (@p129 @p128) :args (@t416)) % 213.94/214.21 (step @p131 :rule refl :args (@t418)) % 213.94/214.21 (step @p132 :rule cong :premises (@p131 @p130) :args (@t419)) % 213.94/214.21 (step @p133 :rule refl :args (@t327)) % 213.94/214.21 (step @p134 :rule cong :premises (@p133 @p132) :args (@t420)) % 213.94/214.21 (step @p135 :rule refl :args (@t325)) % 213.94/214.21 (step @p136 :rule cong :premises (@p135 @p134) :args (@t421)) % 213.94/214.21 (step @p137 :rule refl :args (@t427)) % 213.94/214.21 (step @p138 :rule cong :premises (@p137 @p136) :args (@t428)) % 213.94/214.21 (step @p139 :rule refl :args (@t321)) % 213.94/214.21 (step @p140 :rule cong :premises (@p139 @p138) :args (@t429)) % 213.94/214.21 (step @p141 :rule refl :args (@t431)) % 213.94/214.21 (step @p142 :rule cong :premises (@p141 @p140) :args (@t432)) % 213.94/214.21 (step @p143 :rule refl :args (@t435)) % 213.94/214.21 (step @p144 :rule cong :premises (@p143 @p142) :args (@t436)) % 213.94/214.21 (step @p145 :rule cong :premises (@p144) :args ((not @t436))) % 213.94/214.21 (step @p146 :rule bool-impl-true2 :args (@t410)) % 213.94/214.21 (step @p147 :rule refl :args (@t317)) % 213.94/214.21 (step @p148 :rule refl :args (@t105)) % 213.94/214.21 (step @p149 :rule refl :args (@t99)) % 213.94/214.21 (step @p150 :rule refl :args (@t318)) % 213.94/214.21 (step @p151 :rule refl :args (@t70)) % 213.94/214.21 (step @p152 :rule cong :premises (@p151 @p150) :args ((= @t70 @t318))) % 213.94/214.21 (step @p153 :rule symm :premises (@p152)) % 213.94/214.21 (step @p154 :rule eq_resolve :premises (@p151 @p153)) % 213.94/214.21 (step @p155 :rule refl :args (@t5)) % 213.94/214.21 (step @p156 :rule cong :premises (@p155 @p154) :args (@t437)) % 213.94/214.21 (step @p157 :rule cong :premises (@p156 @p149) :args (@t438)) % 213.94/214.21 (step @p158 :rule refl :args (@t96)) % 213.94/214.21 (step @p159 :rule refl :args (@t2)) % 213.94/214.21 (step @p160 :rule cong :premises (@p159 @p154) :args (@t439)) % 213.94/214.21 (step @p161 :rule cong :premises (@p160 @p158) :args (@t440)) % 213.94/214.21 (step @p162 :rule cong :premises (@p161 @p157) :args (@t441)) % 213.94/214.21 (step @p163 :rule cong :premises (@p162) :args (@t442)) % 213.94/214.21 (step @p164 :rule nary_cong :premises (@p163 @p148) :args (@t443)) % 213.94/214.21 (step @p165 :rule cong :premises (@p164) :args ((forall @t102 @t443))) % 213.94/214.21 (step @p166 :rule refl :args (@t105)) % 213.94/214.21 (step @p167 :rule eq-symm :args (@t438 @t440)) % 213.94/214.21 (step @p168 :rule cong :premises (@p167) :args (@t444)) % 213.94/214.21 (step @p169 :rule nary_cong :premises (@p168 @p166) :args (@t445)) % 213.94/214.21 (step @p170 :rule cong :premises (@p169) :args (@t446)) % 213.94/214.21 (step @p171 :rule trans :premises (@p170 @p165)) % 213.94/214.21 (step @p172 :rule cong :premises (@p171 @p147) :args (@t447)) % 213.94/214.21 (step @p173 :rule refl :args (@t95)) % 213.94/214.21 (step @p174 :rule nary_cong :premises (@p163 @p173) :args (@t448)) % 213.94/214.21 (step @p175 :rule cong :premises (@p174) :args ((forall @t102 @t448))) % 213.94/214.21 (step @p176 :rule refl :args (@t95)) % 213.94/214.21 (step @p177 :rule nary_cong :premises (@p168 @p176) :args (@t449)) % 213.94/214.21 (step @p178 :rule cong :premises (@p177) :args (@t450)) % 213.94/214.21 (step @p179 :rule trans :premises (@p178 @p175)) % 213.94/214.21 (step @p180 :rule cong :premises (@p179 @p172) :args (@t451)) % 213.94/214.21 (step @p181 :rule cong :premises (@p155 @p156) :args (@t452)) % 213.94/214.21 (step @p182 :rule cong :premises (@p181) :args (@t453)) % 213.94/214.21 (step @p183 :rule nary_cong :premises (@p135 @p182) :args (@t454)) % 213.94/214.21 (step @p184 :rule cong :premises (@p183 @p180) :args (@t455)) % 213.94/214.21 (step @p185 :rule refl :args (@t1)) % 213.94/214.21 (step @p186 :rule cong :premises (@p185 @p154) :args (@t456)) % 213.94/214.21 (step @p187 :rule cong :premises (@p185 @p186) :args (@t457)) % 213.94/214.21 (step @p188 :rule cong :premises (@p187) :args (@t458)) % 213.94/214.21 (step @p189 :rule cong :premises (@p154 @p185) :args (@t459)) % 213.94/214.21 (step @p190 :rule cong :premises (@p185 @p189) :args (@t460)) % 213.94/214.21 (step @p191 :rule cong :premises (@p190) :args (@t461)) % 213.94/214.21 (step @p192 :rule nary_cong :premises (@p129 @p191 @p188) :args (@t462)) % 213.94/214.21 (step @p193 :rule cong :premises (@p192 @p184) :args (@t463)) % 213.94/214.21 (step @p194 :rule refl :args (@t333)) % 213.94/214.21 (step @p195 :rule refl :args (@t335)) % 213.94/214.21 (step @p196 :rule cong :premises (@p159 @p154) :args (@t464)) % 213.94/214.21 (step @p197 :rule cong :premises (@p155 @p196) :args (@t465)) % 213.94/214.21 (step @p198 :rule cong :premises (@p197) :args (@t466)) % 213.94/214.21 (step @p199 :rule refl :args (@t337)) % 213.94/214.21 (step @p200 :rule nary_cong :premises (@p199 @p198) :args (@t467)) % 213.94/214.21 (step @p201 :rule cong :premises (@p200) :args (@t468)) % 213.94/214.21 (step @p202 :rule cong :premises (@p201) :args (@t469)) % 213.94/214.21 (step @p203 :rule nary_cong :premises (@p202 @p195) :args (@t470)) % 213.94/214.21 (step @p204 :rule cong :premises (@p203) :args (@t471)) % 213.94/214.21 (step @p205 :rule cong :premises (@p204) :args (@t472)) % 213.94/214.21 (step @p206 :rule refl :args (@t344)) % 213.94/214.21 (step @p207 :rule refl :args (@t348)) % 213.94/214.21 (step @p208 :rule nary_cong :premises (@p207 @p206 @p205 @p194) :args (@t473)) % 213.94/214.21 (step @p209 :rule cong :premises (@p208) :args (@t474)) % 213.94/214.21 (step @p210 :rule cong :premises (@p209 @p193) :args (@t475)) % 213.94/214.21 (step @p211 :rule refl :args (@t352)) % 213.94/214.21 (step @p212 :rule refl :args (@t355)) % 213.94/214.21 (step @p213 :rule nary_cong :premises (@p206 @p205 @p212 @p211) :args (@t476)) % 213.94/214.21 (step @p214 :rule cong :premises (@p213) :args (@t477)) % 213.94/214.21 (step @p215 :rule cong :premises (@p214 @p210) :args (@t478)) % 213.94/214.21 (step @p216 :rule refl :args (@t367)) % 213.94/214.21 (step @p217 :rule cong :premises (@p216 @p215) :args (@t479)) % 213.94/214.21 (step @p218 :rule refl :args (@t373)) % 213.94/214.21 (step @p219 :rule cong :premises (@p218 @p217) :args (@t480)) % 213.94/214.21 (step @p220 :rule refl :args (@t375)) % 213.94/214.21 (step @p221 :rule cong :premises (@p220 @p219) :args (@t481)) % 213.94/214.21 (step @p222 :rule refl :args (@t377)) % 213.94/214.21 (step @p223 :rule cong :premises (@p222 @p221) :args (@t482)) % 213.94/214.21 (step @p224 :rule refl :args (@t379)) % 213.94/214.21 (step @p225 :rule cong :premises (@p224 @p223) :args (@t483)) % 213.94/214.21 (step @p226 :rule refl :args (@t382)) % 213.94/214.21 (step @p227 :rule cong :premises (@p226 @p225) :args (@t484)) % 213.94/214.21 (step @p228 :rule refl :args (@t384)) % 213.94/214.21 (step @p229 :rule cong :premises (@p228 @p227) :args (@t485)) % 213.94/214.21 (step @p230 :rule refl :args (@t388)) % 213.94/214.21 (step @p231 :rule cong :premises (@p230 @p229) :args (@t486)) % 213.94/214.21 (step @p232 :rule refl :args (@t389)) % 213.94/214.21 (step @p233 :rule cong :premises (@p232 @p231) :args (@t487)) % 213.94/214.21 (step @p234 :rule refl :args (@t400)) % 213.94/214.21 (step @p235 :rule cong :premises (@p234 @p233) :args (@t488)) % 213.94/214.21 (step @p236 :rule refl :args (@t402)) % 213.94/214.21 (step @p237 :rule cong :premises (@p236 @p235) :args (@t489)) % 213.94/214.21 (step @p238 :rule refl :args (@t77)) % 213.94/214.21 (step @p239 :rule cong :premises (@p238 @p237) :args (@t490)) % 213.94/214.21 (step @p240 :rule cong :premises (@p123 @p239) :args (@t491)) % 213.94/214.21 (step @p241 :rule eq-refl :args (@t70)) % 213.94/214.21 (step @p242 :rule cong :premises (@p241 @p240) :args (@t492)) % 213.94/214.21 (step @p243 :rule trans :premises (@p242 @p146)) % 213.94/214.21 (step @p244 :rule cong :premises (@p188 @p243) :args (@t493)) % 213.94/214.21 (step @p245 :rule cong :premises (@p127 @p244) :args (@t494)) % 213.94/214.21 (step @p246 :rule cong :premises (@p129 @p245) :args (@t495)) % 213.94/214.21 (step @p247 :rule cong :premises (@p131 @p246) :args (@t496)) % 213.94/214.21 (step @p248 :rule cong :premises (@p191 @p247) :args (@t497)) % 213.94/214.21 (step @p249 :rule cong :premises (@p135 @p248) :args (@t498)) % 213.94/214.21 (step @p250 :rule cong :premises (@p137 @p249) :args (@t499)) % 213.94/214.21 (step @p251 :rule cong :premises (@p182 @p250) :args (@t500)) % 213.94/214.21 (step @p252 :rule cong :premises (@p141 @p251) :args (@t501)) % 213.94/214.21 (step @p253 :rule cong :premises (@p143 @p252) :args (@t502)) % 213.94/214.21 (step @p254 :rule cong :premises (@p253) :args ((not @t502))) % 213.94/214.21 (step @p255 :rule refl :args (@t96)) % 213.94/214.21 (step @p256 :rule eq-symm :args (@t70 tptp.id)) % 213.94/214.21 (step @p257 :rule refl :args (tptp.axvarshift)) % 213.94/214.21 (step @p258 :rule cong :premises (@p257 @p256) :args (@t71)) % 213.94/214.21 (step @p259 :rule eq_resolve :premises (@p11 @p258)) % 213.94/214.21 (step @p260 :rule equiv_elim2 :premises (@p61)) % 213.94/214.21 (step @p261 :rule resolution :premises (@p260 @p109) :args (true tptp.hoaslaminj_gthm)) % 213.94/214.21 (step @p262 :rule not_implies_elim2 :premises (@p261)) % 213.94/214.21 (step @p263 :rule not_implies_elim2 :premises (@p262)) % 213.94/214.21 (step @p264 :rule not_implies_elim2 :premises (@p263)) % 213.94/214.21 (step @p265 :rule not_implies_elim2 :premises (@p264)) % 213.94/214.21 (step @p266 :rule not_implies_elim2 :premises (@p265)) % 213.94/214.21 (step @p267 :rule not_implies_elim2 :premises (@p266)) % 213.94/214.21 (step @p268 :rule not_implies_elim2 :premises (@p267)) % 213.94/214.21 (step @p269 :rule not_implies_elim2 :premises (@p268)) % 213.94/214.21 (step @p270 :rule not_implies_elim2 :premises (@p269)) % 213.94/214.21 (step @p271 :rule not_implies_elim2 :premises (@p270)) % 213.94/214.21 (step @p272 :rule not_implies_elim1 :premises (@p271)) % 213.94/214.21 (step @p273 :rule eq_resolve :premises (@p272 @p259)) % 213.94/214.21 (step @p274 :rule refl :args (@t2)) % 213.94/214.21 (step @p275 :rule cong :premises (@p274 @p273) :args (@t503)) % 213.94/214.21 (step @p276 :rule cong :premises (@p275 @p255) :args (@t504)) % 213.94/214.21 (step @p277 :rule refl :args (@t99)) % 213.94/214.21 (step @p278 :rule refl :args (@t5)) % 213.94/214.21 (step @p279 :rule cong :premises (@p278 @p273) :args (@t505)) % 213.94/214.21 (step @p280 :rule cong :premises (@p279 @p277) :args (@t506)) % 213.94/214.21 (step @p281 :rule cong :premises (@p280 @p276) :args (@t507)) % 213.94/214.21 (step @p282 :rule cong :premises (@p281) :args (@t508)) % 213.94/214.21 (step @p283 :rule nary_cong :premises (@p282 @p166) :args (@t509)) % 213.94/214.21 (step @p284 :rule cong :premises (@p283) :args (@t510)) % 213.94/214.21 (step @p285 :rule cong :premises (@p284 @p147) :args (@t511)) % 213.94/214.21 (step @p286 :rule nary_cong :premises (@p282 @p176) :args (@t512)) % 213.94/214.21 (step @p287 :rule cong :premises (@p286) :args (@t513)) % 213.94/214.21 (step @p288 :rule cong :premises (@p287 @p285) :args (@t514)) % 213.94/214.21 (step @p289 :rule cong :premises (@p278 @p279) :args (@t515)) % 213.94/214.21 (step @p290 :rule cong :premises (@p289) :args (@t516)) % 213.94/214.21 (step @p291 :rule nary_cong :premises (@p135 @p290) :args (@t517)) % 213.94/214.21 (step @p292 :rule cong :premises (@p291 @p288) :args (@t518)) % 213.94/214.21 (step @p293 :rule refl :args (@t1)) % 213.94/214.21 (step @p294 :rule cong :premises (@p293 @p273) :args (@t519)) % 213.94/214.21 (step @p295 :rule cong :premises (@p293 @p294) :args (@t520)) % 213.94/214.21 (step @p296 :rule cong :premises (@p295) :args (@t521)) % 213.94/214.21 (step @p297 :rule cong :premises (@p273 @p293) :args (@t522)) % 213.94/214.21 (step @p298 :rule cong :premises (@p293 @p297) :args (@t523)) % 213.94/214.21 (step @p299 :rule cong :premises (@p298) :args (@t524)) % 213.94/214.21 (step @p300 :rule nary_cong :premises (@p129 @p299 @p296) :args (@t525)) % 213.94/214.21 (step @p301 :rule cong :premises (@p300 @p292) :args (@t526)) % 213.94/214.21 (step @p302 :rule cong :premises (@p274 @p273) :args (@t527)) % 213.94/214.21 (step @p303 :rule cong :premises (@p278 @p302) :args (@t528)) % 213.94/214.21 (step @p304 :rule cong :premises (@p303) :args (@t529)) % 213.94/214.21 (step @p305 :rule refl :args (@t337)) % 213.94/214.21 (step @p306 :rule nary_cong :premises (@p305 @p304) :args (@t530)) % 213.94/214.21 (step @p307 :rule cong :premises (@p306) :args (@t531)) % 213.94/214.21 (step @p308 :rule cong :premises (@p307) :args (@t532)) % 213.94/214.21 (step @p309 :rule nary_cong :premises (@p308 @p195) :args (@t533)) % 213.94/214.21 (step @p310 :rule cong :premises (@p309) :args (@t534)) % 213.94/214.21 (step @p311 :rule cong :premises (@p310) :args (@t535)) % 213.94/214.21 (step @p312 :rule nary_cong :premises (@p207 @p206 @p311 @p194) :args (@t536)) % 213.94/214.21 (step @p313 :rule cong :premises (@p312) :args (@t537)) % 213.94/214.21 (step @p314 :rule cong :premises (@p313 @p301) :args (@t538)) % 213.94/214.21 (step @p315 :rule nary_cong :premises (@p206 @p311 @p212 @p211) :args (@t539)) % 213.94/214.21 (step @p316 :rule cong :premises (@p315) :args (@t540)) % 213.94/214.21 (step @p317 :rule cong :premises (@p316 @p314) :args (@t541)) % 213.94/214.21 (step @p318 :rule cong :premises (@p216 @p317) :args (@t542)) % 213.94/214.21 (step @p319 :rule cong :premises (@p218 @p318) :args (@t543)) % 213.94/214.21 (step @p320 :rule cong :premises (@p220 @p319) :args (@t544)) % 213.94/214.21 (step @p321 :rule cong :premises (@p222 @p320) :args (@t545)) % 213.94/214.21 (step @p322 :rule cong :premises (@p224 @p321) :args (@t546)) % 213.94/214.21 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(step @p1206 :rule aci_norm :args ((= (or @t650 (or @t648 @t86)) @t705))) % 213.94/214.21 (step @p1207 :rule bool-impl-elim :args (@t84 @t86)) % 213.94/214.21 (step @p1208 :rule refl :args (@t650)) % 213.94/214.21 (step @p1209 :rule nary_cong :premises (@p1208 @p1207) :args ((or @t650 @t87))) % 213.94/214.21 (step @p1210 :rule trans :premises (@p1209 @p1206)) % 213.94/214.21 (step @p1211 :rule bool-impl-elim :args (@t80 @t87)) % 213.94/214.21 (step @p1212 :rule trans :premises (@p1211 @p1210)) % 213.94/214.21 (step @p1213 :rule cong :premises (@p1212) :args (@t88)) % 213.94/214.21 (step @p1214 :rule trans :premises (@p1213 @p1205)) % 213.94/214.21 (step @p1215 :rule cong :premises (@p1214 @p869) :args (@t89)) % 213.94/214.21 (step @p1216 :rule refl :args (@t90)) % 213.94/214.21 (step @p1217 :rule cong :premises (@p1216 @p1215) :args (@t91)) % 213.94/214.21 (step @p1218 :rule cong :premises (@p1217) :args (@t93)) % 213.94/214.21 (step @p1219 :rule trans :premises (@p1218 @p1193)) % 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(@p1455 @p343)) % 213.94/214.22 (step @p1457 :rule cong :premises (@p1456) :args (@t288)) % 213.94/214.22 (step @p1458 :rule trans :premises (@p1457 @p254)) % 213.94/214.22 (step @p1459 :rule trans :premises (@p1458 @p145)) % 213.94/214.22 (step @p1460 :rule eq_resolve :premises (@p109 @p1459)) % 213.94/214.22 (step @p1461 :rule not_implies_elim2 :premises (@p1460)) % 213.94/214.22 (step @p1462 :rule not_implies_elim2 :premises (@p1461)) % 213.94/214.22 (step @p1463 :rule not_implies_elim2 :premises (@p1462)) % 213.94/214.22 (step @p1464 :rule not_implies_elim2 :premises (@p1463)) % 213.94/214.22 (step @p1465 :rule not_implies_elim2 :premises (@p1464)) % 213.94/214.22 (step @p1466 :rule not_implies_elim2 :premises (@p1465)) % 213.94/214.22 (step @p1467 :rule not_implies_elim2 :premises (@p1466)) % 213.94/214.22 (step @p1468 :rule not_implies_elim2 :premises (@p1467)) % 213.94/214.22 (step @p1469 :rule not_implies_elim2 :premises (@p1468)) % 213.94/214.22 (step @p1470 :rule not_implies_elim2 :premises (@p1469)) % 213.94/214.22 (step @p1471 :rule not_implies_elim2 :premises (@p1470)) % 213.94/214.22 (step @p1472 :rule not_implies_elim2 :premises (@p1471)) % 213.94/214.22 (step @p1473 :rule not_implies_elim2 :premises (@p1472)) % 213.94/214.22 (step @p1474 :rule not_implies_elim2 :premises (@p1473)) % 213.94/214.22 (step @p1475 :rule not_implies_elim2 :premises (@p1474)) % 213.94/214.22 (step @p1476 :rule not_implies_elim2 :premises (@p1475)) % 213.94/214.22 (step @p1477 :rule not_implies_elim2 :premises (@p1476)) % 213.94/214.22 (step @p1478 :rule not_implies_elim2 :premises (@p1477)) % 213.94/214.22 (step @p1479 :rule not_implies_elim2 :premises (@p1478)) % 213.94/214.22 (step @p1480 :rule not_implies_elim2 :premises (@p1479)) % 213.94/214.22 (step @p1481 :rule not_implies_elim2 :premises (@p1480)) % 213.94/214.22 (step @p1482 :rule not_implies_elim2 :premises (@p1481)) % 213.94/214.22 (step @p1483 :rule not_implies_elim2 :premises (@p1482)) % 213.94/214.22 (step @p1484 :rule not_implies_elim2 :premises (@p1483)) % 213.94/214.22 (step @p1485 :rule not_implies_elim2 :premises (@p1484)) % 213.94/214.22 (step @p1486 :rule not_implies_elim2 :premises (@p1485)) % 213.94/214.22 (step @p1487 :rule not_implies_elim2 :premises (@p1486)) % 213.94/214.22 (step @p1488 :rule not_implies_elim2 :premises (@p1487)) % 213.94/214.22 (step @p1489 :rule not_implies_elim2 :premises (@p1488)) % 213.94/214.22 (step @p1490 :rule skolemize :premises (@p1489)) % 213.94/214.22 (step @p1491 :rule cnf_or_neg :args (@t723 3)) % 213.94/214.22 (step @p1492 :rule chain_m_resolution :premises (@p1491 @p1490) :args (@t724 @t725 @t726)) % 213.94/214.22 (step @p1493 :rule not_implies_elim1 :premises (@p1476)) % 213.94/214.22 (step @p1494 :rule instantiate :premises (@p1493) :args ((@list @t716 @t715))) % 213.94/214.22 (step @p1495 :rule bool-double-not-elim :args (@t717)) % 213.94/214.22 (step @p1496 :rule refl :args (@t723)) % 213.94/214.22 (step @p1497 :rule nary_cong :premises (@p1496 @p1495) :args ((or @t723 (not @t718)))) % 213.94/214.22 (step @p1498 :rule cnf_or_neg :args (@t723 2)) % 213.94/214.22 (step @p1499 :rule eq_resolve :premises (@p1498 @p1497)) % 213.94/214.22 (step @p1500 :rule reordering :premises (@p1499) :args ((or @t717 @t723))) % 213.94/214.22 (step @p1501 :rule chain_m_resolution :premises (@p1500 @p1490) :args (@t717 @t725 @t726)) % 213.94/214.22 (step @p1502 :rule cnf_or_pos :args (@t728)) % 213.94/214.22 (step @p1503 :rule reordering :premises (@p1502) :args ((or @t718 @t727 (not @t728)))) % 213.94/214.22 (step @p1504 :rule chain_m_resolution :premises (@p1503 @p1501 @p1494) :args (@t727 (@list false false) (@list @t717 @t728))) % 213.94/214.22 (step @p1505 :rule not_implies_elim1 :premises (@p1462)) % 213.94/214.22 (step @p1506 :rule instantiate :premises (@p1505) :args ((@list @t710))) % 213.94/214.22 (step @p1507 :rule not_implies_elim1 :premises (@p1469)) % 213.94/214.22 (step @p1508 :rule instantiate :premises (@p1507) :args ((@list @t711))) % 213.94/214.22 (step @p1509 :rule not_implies_elim1 :premises (@p1461)) % 213.94/214.22 (step @p1510 :rule instantiate :premises (@p1509) :args (@t730)) % 213.94/214.22 (step @p1511 :rule not_implies_elim1 :premises (@p1466)) % 213.94/214.22 (step @p1512 :rule instantiate :premises (@p1511) :args (@t730)) % 213.94/214.22 (step @p1513 :rule instantiate :premises (@p1511) :args (@t731)) % 213.94/214.22 (step @p1514 :rule instantiate :premises (@p1509) :args (@t731)) % 213.94/214.22 (step @p1515 :rule not_implies_elim1 :premises (@p1467)) % 213.94/214.22 (step @p1516 :rule instantiate :premises (@p1515) :args ((@list @t711 tptp.sh @t732))) % 213.94/214.22 (step @p1517 :rule bool-double-not-elim :args (@t721)) % 213.94/214.22 (step @p1518 :rule nary_cong :premises (@p1496 @p1517) :args ((or @t723 (not @t722)))) % 213.94/214.22 (step @p1519 :rule cnf_or_neg :args (@t723 0)) % 213.94/214.22 (step @p1520 :rule eq_resolve :premises (@p1519 @p1518)) % 213.94/214.22 (step @p1521 :rule reordering :premises (@p1520) :args ((or @t721 @t723))) % 213.94/214.22 (step @p1522 :rule chain_m_resolution :premises (@p1521 @p1490) :args (@t721 @t725 @t726)) % 213.94/214.22 (step @p1523 :rule instantiate :premises (@p1522) :args (@t734)) % 213.94/214.22 (step @p1524 :rule instantiate :premises (@p1522) :args (@t735)) % 213.94/214.22 (step @p1525 :rule bool-double-not-elim :args (@t719)) % 213.94/214.22 (step @p1526 :rule nary_cong :premises (@p1496 @p1525) :args ((or @t723 (not @t720)))) % 213.94/214.22 (step @p1527 :rule cnf_or_neg :args (@t723 1)) % 213.94/214.22 (step @p1528 :rule eq_resolve :premises (@p1527 @p1526)) % 213.94/214.22 (step @p1529 :rule reordering :premises (@p1528) :args ((or @t719 @t723))) % 213.94/214.22 (step @p1530 :rule chain_m_resolution :premises (@p1529 @p1490) :args (@t719 @t725 @t726)) % 213.94/214.22 (step @p1531 :rule instantiate :premises (@p1530) :args (@t734)) % 213.94/214.22 (step @p1532 :rule instantiate :premises (@p1530) :args (@t735)) % 213.94/214.22 (step @p1533 :rule refl :args (@t742)) % 213.94/214.22 (step @p1534 :rule refl :args (@t747)) % 213.94/214.22 (step @p1535 :rule refl :args (@t750)) % 213.94/214.22 (step @p1536 :rule refl :args (@t753)) % 213.94/214.22 (step @p1537 :rule refl :args (@t757)) % 213.94/214.22 (step @p1538 :rule refl :args (@t759)) % 213.94/214.22 (step @p1539 :rule refl :args (@t761)) % 213.94/214.22 (step @p1540 :rule refl :args (@t763)) % 213.94/214.22 (step @p1541 :rule refl :args (@t765)) % 213.94/214.22 (step @p1542 :rule refl :args (@t768)) % 213.94/214.22 (step @p1543 :rule refl :args (@t771)) % 213.94/214.22 (step @p1544 :rule refl :args (@t772)) % 213.94/214.22 (step @p1545 :rule bool-double-not-elim :args (@t714)) % 213.94/214.22 (step @p1546 :rule nary_cong :premises (@p1545 @p1544 @p1543 @p1542 @p1541 @p1540 @p1539 @p1538 @p1537 @p1536 @p1535 @p1534 @p1533) :args ((or (not @t724) @t772 @t771 @t768 @t765 @t763 @t761 @t759 @t757 @t753 @t750 @t747 @t742))) % 213.94/214.22 (assume-push @p1607 @t724) % 213.94/214.22 (assume-push @p1608 @t727) % 213.94/214.22 (assume-push @p1609 @t770) % 213.94/214.22 (assume-push @p1610 @t767) % 213.94/214.22 (assume-push @p1611 @t764) % 213.94/214.22 (assume-push @p1612 @t762) % 213.94/214.22 (assume-push @p1613 @t760) % 213.94/214.22 (assume-push @p1614 @t758) % 213.94/214.22 (assume-push @p1615 @t756) % 213.94/214.22 (assume-push @p1616 @t752) % 213.94/214.22 (assume-push @p1617 @t749) % 213.94/214.22 (assume-push @p1618 @t746) % 213.94/214.22 (step @p1559 :rule false_intro :premises (@p1492)) % 213.94/214.22 (step @p1560 :rule symm :premises (@p1506)) % 213.94/214.22 (step @p1561 :rule symm :premises (@p1508)) % 213.94/214.22 (step @p1562 :rule cong :premises (@p1561 @p1560) :args ((_ @t712 @t766 @t769))) % 213.94/214.22 (step @p1563 :rule symm :premises (@p1514)) % 213.94/214.22 (step @p1564 :rule trans :premises (@p1563 @p1506)) % 213.94/214.22 (step @p1565 :rule symm :premises (@p1513)) % 213.94/214.22 (step @p1566 :rule refl :args (@t711)) % 213.94/214.22 (step @p1567 :rule cong :premises (@p1566 @p1565) :args (@t755)) % 213.94/214.22 (step @p1568 :rule trans :premises (@p1516 @p1567 @p1561)) % 213.94/214.22 (step @p1569 :rule trans :premises (@p1568 @p1508)) % 213.94/214.22 (step @p1570 :rule cong :premises (@p1569 @p1564) :args (@t738)) % 213.94/214.22 (step @p1571 :rule trans :premises (@p1570 @p1562)) % 213.94/214.22 (step @p1572 :rule cong :premises (@p1561 @p1560) :args ((_ @t713 @t766 @t769))) % 213.94/214.22 (step @p1573 :rule cong :premises (@p1569 @p1564) :args (@t748)) % 213.94/214.22 (step @p1574 :rule refl :args (@t732)) % 213.94/214.22 (step @p1575 :rule symm :premises (@p1510)) % 213.94/214.22 (step @p1576 :rule symm :premises (@p1512)) % 213.94/214.22 (step @p1577 :rule cong :premises (@p1576 @p1575) :args (@t751)) % 213.94/214.22 (step @p1578 :rule refl :args (@t733)) % 213.94/214.22 (step @p1579 :rule symm :premises (@p1504)) % 213.94/214.22 (step @p1580 :rule cong :premises (@p1579 @p1578) :args (@t745)) % 213.94/214.22 (step @p1581 :rule symm :premises (@p1531)) % 213.94/214.22 (step @p1582 :rule cong :premises (@p1512 @p1510) :args (@t739)) % 213.94/214.22 (step @p1583 :rule trans :premises (@p1582 @p1581 @p1580 @p1523 @p1577)) % 213.94/214.22 (step @p1584 :rule cong :premises (@p1583 @p1574) :args (@t740)) % 213.94/214.22 (step @p1585 :rule trans :premises (@p1584 @p1524 @p1573 @p1572)) % 213.94/214.22 (step @p1586 :rule cong :premises (@p1585 @p1571) :args (@t741)) % 213.94/214.22 (step @p1587 :rule trans :premises (@p1586 @p1559)) % 213.94/214.22 (step @p1588 :rule false_elim :premises (@p1587)) % 213.94/214.22 (step-pop @p1619 :rule scope :premises (@p1588)) % 213.94/214.22 (step-pop @p1620 :rule scope :premises (@p1619)) % 213.94/214.22 (step-pop @p1621 :rule scope :premises (@p1620)) % 213.94/214.22 (step-pop @p1622 :rule scope :premises (@p1621)) % 213.94/214.22 (step-pop @p1623 :rule scope :premises (@p1622)) % 213.94/214.22 (step-pop @p1624 :rule scope :premises (@p1623)) % 213.94/214.22 (step-pop @p1625 :rule scope :premises (@p1624)) % 213.94/214.22 (step-pop @p1626 :rule scope :premises (@p1625)) % 213.94/214.22 (step-pop @p1627 :rule scope :premises (@p1626)) % 213.94/214.22 (step-pop @p1628 :rule scope :premises (@p1627)) % 213.94/214.22 (step-pop @p1629 :rule scope :premises (@p1628)) % 213.94/214.22 (step-pop @p1630 :rule scope :premises (@p1629)) % 213.94/214.22 (step @p1589 :rule process_scope :premises (@p1630) :args (@t742)) % 213.94/214.22 (step @p1602 :rule implies_elim :premises (@p1589)) % 213.94/214.22 (step @p1603 :rule cnf_and_neg :args (@t773)) % 213.94/214.22 (step @p1604 :rule resolution :premises (@p1603 @p1602) :args (true @t773)) % 213.94/214.22 (step @p1605 :rule eq_resolve :premises (@p1604 @p1546)) % 213.94/214.22 (step @p1606 false :rule chain_m_resolution :premises (@p1605 @p1532 @p1531 @p1524 @p1523 @p1516 @p1514 @p1513 @p1512 @p1510 @p1508 @p1506 @p1504 @p1492) :args (false (@list false false false false false false false false false false false false true) (@list @t741 @t746 @t749 @t752 @t756 @t758 @t760 @t762 @t764 @t767 @t770 @t727 @t714))) % 213.94/214.22 ) % 213.94/214.22 % SZS output end Proof % 213.94/214.22 % cvc5 exiting %------------------------------------------------------------------------------