%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG260^1 : TPTP v9.2.1. Bugfixed v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n013.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 0.42s 0.83s % Output : Proof 0.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : ALG260^1 : TPTP v9.2.1. Bugfixed v5.2.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n013.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Wed Jun 3 01:55:45 EDT 2026 % 0.18/0.35 % CPUTime : % 0.38/0.57 %----Proving TH0 % 0.42/0.83 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.42/0.83 % SZS status Theorem % 0.42/0.83 % SZS output start Proof % 0.42/0.83 ( % 0.42/0.83 (declare-sort tptp.term 0) % 0.42/0.83 (declare-sort tptp.subst 0) % 0.42/0.83 (declare-const tptp.push (-> tptp.term tptp.subst tptp.subst)) % 0.42/0.83 (declare-const tptp.sub (-> tptp.term tptp.subst tptp.term)) % 0.42/0.83 (declare-const tptp.ap (-> tptp.term tptp.term tptp.term)) % 0.42/0.83 (declare-const tptp.one tptp.term) % 0.42/0.83 (declare-const tptp.sh tptp.subst) % 0.42/0.83 (declare-const tptp.lam (-> tptp.term tptp.term)) % 0.42/0.83 (declare-const tptp.var (-> tptp.term Bool)) % 0.42/0.83 (declare-const tptp.id tptp.subst) % 0.42/0.83 (declare-const tptp.hoasinduction_no_psi_cond_lthm Bool) % 0.42/0.83 (declare-const tptp.hoasinduction_no_psi_cond Bool) % 0.42/0.83 (declare-const tptp.hoasinduction_lthm_3 Bool) % 0.42/0.83 (declare-const tptp.hoasinduction_lthm Bool) % 0.42/0.83 (declare-const tptp.hoasinduction_gthm Bool) % 0.42/0.83 (declare-const tptp.hoasinduction Bool) % 0.42/0.83 (declare-const tptp.hoasinduction_lem3b_lthm Bool) % 0.42/0.83 (declare-const tptp.hoasinduction_lem3b_gthm Bool) % 0.42/0.83 (declare-const tptp.hoasinduction_lem3b Bool) % 0.42/0.83 (declare-const tptp.hoasinduction_lem3a_lthm Bool) % 0.42/0.83 (declare-const tptp.hoasinduction_lem3a_gthm Bool) % 0.42/0.83 (declare-const tptp.hoasinduction_lem3a Bool) % 0.42/0.83 (declare-const tptp.hoasinduction_lem3_lthm Bool) % 0.42/0.83 (declare-const tptp.hoasinduction_lem3_gthm Bool) % 0.42/0.83 (declare-const tptp.hoasinduction_lem3 Bool) % 0.42/0.83 (declare-const tptp.hoasinduction_lem3aaa Bool) % 0.42/0.83 (declare-const tptp.hoasinduction_lem3aa_lthm Bool) % 0.42/0.83 (declare-const tptp.hoasinduction_lem3aa Bool) % 0.42/0.83 (declare-const tptp.hoasinduction_lem2_lthm Bool) % 0.42/0.83 (declare-const tptp.hoasinduction_lem2_gthm Bool) % 0.42/0.83 (declare-const tptp.hoasinduction_lem2 Bool) % 0.42/0.83 (declare-const tptp.hoasinduction_lem1_lthm Bool) % 0.42/0.83 (declare-const tptp.hoasinduction_lem1_gthm Bool) % 0.42/0.83 (declare-const tptp.hoasinduction_lem1 Bool) % 0.42/0.83 (declare-const tptp.hoasinduction_lem3v2a_lthm Bool) % 0.42/0.83 (declare-const tptp.hoasinduction_lem3v2a Bool) % 0.42/0.83 (declare-const tptp.hoasinduction_lem3v2_lthm Bool) % 0.42/0.83 (declare-const tptp.hoasinduction_lem3v2_gthm Bool) % 0.42/0.83 (declare-const tptp.hoasinduction_lem3v2 Bool) % 0.42/0.83 (declare-const tptp.hoasinduction_lem3v2_f_lthm Bool) % 0.42/0.83 (declare-const tptp.hoasinduction_lem3v2_f Bool) % 0.42/0.83 (declare-const tptp.hoasinduction_lem2v2_gthm Bool) % 0.42/0.83 (declare-const tptp.hoasinduction_lem2v2 Bool) % 0.42/0.83 (declare-const tptp.hoasinduction_lem1v2_gthm Bool) % 0.42/0.83 (declare-const tptp.hoasinduction_lem1v2 Bool) % 0.42/0.83 (declare-const tptp.hoasinduction_lem0_lthm Bool) % 0.42/0.83 (declare-const tptp.hoasinduction_lem0 Bool) % 0.42/0.83 (declare-const tptp.hoasapnotvar_lthm Bool) % 0.42/0.83 (declare-const tptp.hoasapnotvar_gthm Bool) % 0.42/0.83 (declare-const tptp.hoasapnotvar Bool) % 0.42/0.83 (declare-const tptp.hoaslamnotvar_lthm Bool) % 0.42/0.83 (declare-const tptp.hoaslamnotvar_gthm Bool) % 0.42/0.83 (declare-const tptp.hoaslamnotvar Bool) % 0.42/0.83 (declare-const tptp.hoaslamnotap_lthm Bool) % 0.42/0.83 (declare-const tptp.hoaslamnotap_gthm Bool) % 0.42/0.83 (declare-const tptp.hoaslamnotap Bool) % 0.42/0.83 (declare-const tptp.hoaslaminj_lthm Bool) % 0.42/0.83 (declare-const tptp.hoaslaminj_gthm Bool) % 0.42/0.83 (declare-const tptp.hoaslaminj Bool) % 0.42/0.83 (declare-const tptp.hoasapinj2_lthm Bool) % 0.42/0.83 (declare-const tptp.hoasapinj2_gthm Bool) % 0.42/0.83 (declare-const tptp.hoasapinj2 Bool) % 0.42/0.83 (declare-const tptp.pushprop_lem0_lthm Bool) % 0.42/0.83 (declare-const tptp.axassoc Bool) % 0.42/0.83 (declare-const tptp.pushprop_lem0_gthm Bool) % 0.42/0.83 (declare-const tptp.axvarcons Bool) % 0.42/0.83 (declare-const tptp.pushprop_lem0 Bool) % 0.42/0.83 (declare-const tptp.apinj1 Bool) % 0.42/0.83 (declare-const tptp.induction Bool) % 0.42/0.83 (declare-const tptp.apnotvar Bool) % 0.42/0.83 (declare-const tptp.laminj Bool) % 0.42/0.83 (declare-const tptp.axvarshift Bool) % 0.42/0.83 (declare-const tptp.ulamvarind Bool) % 0.42/0.83 (declare-const tptp.pushprop_lem2v2_lthm Bool) % 0.42/0.83 (declare-const tptp.ulamvarsh Bool) % 0.42/0.83 (declare-const tptp.ulamvar1 Bool) % 0.42/0.83 (declare-const tptp.axabs Bool) % 0.42/0.83 (declare-const tptp.pushprop_lem1 Bool) % 0.42/0.83 (declare-const tptp.shinj Bool) % 0.42/0.83 (declare-const tptp.comp (-> tptp.subst tptp.subst tptp.subst)) % 0.42/0.83 (declare-const tptp.apinj2 Bool) % 0.42/0.83 (declare-const tptp.axvarid Bool) % 0.42/0.83 (declare-const tptp.axidl Bool) % 0.42/0.83 (declare-const tptp.axclos Bool) % 0.42/0.83 (declare-const tptp.termmset Bool) % 0.42/0.83 (declare-const tptp.axshiftcons Bool) % 0.42/0.83 (declare-const tptp.lamnotap Bool) % 0.42/0.83 (declare-const tptp.lamnotvar Bool) % 0.42/0.83 (declare-const tptp.axapp Bool) % 0.42/0.83 (declare-const tptp.axscons Bool) % 0.42/0.83 (declare-const tptp.axmap Bool) % 0.42/0.83 (declare-const tptp.axidr Bool) % 0.42/0.83 (declare-const tptp.induction2lem Bool) % 0.42/0.83 (declare-const tptp.pushprop_lem1_gthm Bool) % 0.42/0.83 (declare-const tptp.hoasapinj1_lthm Bool) % 0.42/0.83 (declare-const tptp.pushprop_lem1_lthm Bool) % 0.42/0.83 (declare-const tptp.pushprop_lem1v2 Bool) % 0.42/0.83 (declare-const tptp.pushprop_lem1v2_gthm Bool) % 0.42/0.83 (declare-const tptp.induction2 Bool) % 0.42/0.83 (declare-const tptp.pushprop_lem1v2_lthm Bool) % 0.42/0.83 (declare-const tptp.pushprop_lem2v2 Bool) % 0.42/0.83 (declare-const tptp.pushprop_lem2v2_gthm Bool) % 0.42/0.83 (declare-const tptp.pushprop_lem3v2 Bool) % 0.42/0.83 (declare-const tptp.pushprop_lem3v2_lthm Bool) % 0.42/0.83 (declare-const tptp.pushprop Bool) % 0.42/0.83 (declare-const tptp.pushprop_gthm Bool) % 0.42/0.83 (declare-const tptp.hoasapinj1 Bool) % 0.42/0.83 (declare-const tptp.pushprop_lthm_orig Bool) % 0.42/0.83 (declare-const tptp.pushprop_lthm Bool) % 0.42/0.83 (declare-const tptp.induction2lem_gthm Bool) % 0.42/0.83 (declare-const tptp.induction2lem_lthm Bool) % 0.42/0.83 (declare-const tptp.induction2_gthm Bool) % 0.42/0.83 (declare-const tptp.induction2_lthm Bool) % 0.42/0.83 (declare-const tptp.substmonoid Bool) % 0.42/0.83 (declare-const tptp.substmonoid_gthm Bool) % 0.42/0.83 (declare-const tptp.termmset_gthm Bool) % 0.42/0.83 (declare-const tptp.substmonoid_lthm Bool) % 0.42/0.83 (declare-const tptp.termmset_lthm Bool) % 0.42/0.83 (declare-const tptp.hoasapinj1_gthm Bool) % 0.42/0.83 (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)))))))))))) % 0.42/0.83 (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)))))) % 0.42/0.83 (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))))) % 0.42/0.83 (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)))))) % 0.42/0.83 (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)))))))) % 0.42/0.83 (define @t1 () (@var "M" tptp.subst)) % 0.42/0.83 (define @t2 () (@var "B" tptp.term)) % 0.42/0.83 (define @t3 () (_ tptp.sub @t2)) % 0.42/0.83 (define @t4 () (_ @t3 @t1)) % 0.42/0.83 (define @t5 () (@var "A" tptp.term)) % 0.42/0.83 (define @t6 () (_ tptp.sub @t5)) % 0.42/0.83 (define @t7 () (_ @t6 @t1)) % 0.42/0.83 (define @t8 () (_ (_ tptp.ap @t7) @t4)) % 0.42/0.83 (define @t9 () (_ tptp.ap @t5)) % 0.42/0.83 (define @t10 () (_ @t9 @t2)) % 0.42/0.83 (define @t11 () (_ (_ tptp.sub @t10) @t1)) % 0.42/0.83 (define @t12 () (= @t11 @t8)) % 0.42/0.83 (define @t13 () (@list @t5 @t2 @t1)) % 0.42/0.83 (define @t14 () (forall @t13 @t12)) % 0.42/0.83 (define @t15 () (= tptp.axapp @t14)) % 0.42/0.83 (define @t16 () (_ (_ tptp.push @t5) @t1)) % 0.42/0.83 (define @t17 () (_ tptp.sub tptp.one)) % 0.42/0.83 (define @t18 () (_ @t17 @t16)) % 0.42/0.83 (define @t19 () (@list @t5 @t1)) % 0.42/0.83 (define @t20 () (forall @t19 (= @t18 @t5))) % 0.42/0.83 (define @t21 () (= tptp.axvarcons @t20)) % 0.42/0.83 (define @t22 () (_ @t6 tptp.id)) % 0.42/0.83 (define @t23 () (@list @t5)) % 0.42/0.83 (define @t24 () (forall @t23 (= @t22 @t5))) % 0.42/0.83 (define @t25 () (= tptp.axvarid @t24)) % 0.42/0.83 (define @t26 () (_ tptp.comp @t1)) % 0.42/0.83 (define @t27 () (_ @t26 tptp.sh)) % 0.42/0.83 (define @t28 () (_ tptp.push tptp.one)) % 0.42/0.83 (define @t29 () (_ @t28 @t27)) % 0.42/0.83 (define @t30 () (_ @t6 @t29)) % 0.42/0.83 (define @t31 () (_ tptp.lam @t30)) % 0.42/0.83 (define @t32 () (_ tptp.lam @t5)) % 0.42/0.83 (define @t33 () (_ (_ tptp.sub @t32) @t1)) % 0.42/0.83 (define @t34 () (= @t33 @t31)) % 0.42/0.83 (define @t35 () (forall @t19 @t34)) % 0.42/0.83 (define @t36 () (= tptp.axabs @t35)) % 0.42/0.83 (define @t37 () (@var "N" tptp.subst)) % 0.42/0.83 (define @t38 () (_ @t26 @t37)) % 0.42/0.83 (define @t39 () (_ @t6 @t38)) % 0.42/0.83 (define @t40 () (_ (_ tptp.sub @t7) @t37)) % 0.42/0.83 (define @t41 () (= @t40 @t39)) % 0.42/0.83 (define @t42 () (@list @t5 @t1 @t37)) % 0.42/0.83 (define @t43 () (forall @t42 @t41)) % 0.42/0.83 (define @t44 () (= tptp.axclos @t43)) % 0.42/0.83 (define @t45 () (_ (_ tptp.comp tptp.id) @t1)) % 0.42/0.83 (define @t46 () (@list @t1)) % 0.42/0.83 (define @t47 () (forall @t46 (= @t45 @t1))) % 0.42/0.83 (define @t48 () (= tptp.axidl @t47)) % 0.42/0.83 (define @t49 () (_ tptp.comp tptp.sh)) % 0.42/0.83 (define @t50 () (_ @t49 @t16)) % 0.42/0.83 (define @t51 () (forall @t19 (= @t50 @t1))) % 0.42/0.83 (define @t52 () (= tptp.axshiftcons @t51)) % 0.42/0.83 (define @t53 () (@var "K" tptp.subst)) % 0.42/0.83 (define @t54 () (_ (_ tptp.comp @t37) @t53)) % 0.42/0.83 (define @t55 () (_ @t26 @t54)) % 0.42/0.83 (define @t56 () (_ (_ tptp.comp @t38) @t53)) % 0.42/0.83 (define @t57 () (= @t56 @t55)) % 0.42/0.83 (define @t58 () (@list @t1 @t37 @t53)) % 0.42/0.83 (define @t59 () (forall @t58 @t57)) % 0.42/0.83 (define @t60 () (= tptp.axassoc @t59)) % 0.42/0.83 (define @t61 () (_ @t6 @t37)) % 0.42/0.83 (define @t62 () (_ (_ tptp.push @t61) @t38)) % 0.42/0.83 (define @t63 () (_ (_ tptp.comp @t16) @t37)) % 0.42/0.83 (define @t64 () (= @t63 @t62)) % 0.42/0.83 (define @t65 () (forall @t42 @t64)) % 0.42/0.83 (define @t66 () (= tptp.axmap @t65)) % 0.42/0.83 (define @t67 () (_ @t26 tptp.id)) % 0.42/0.83 (define @t68 () (forall @t46 (= @t67 @t1))) % 0.42/0.83 (define @t69 () (= tptp.axidr @t68)) % 0.42/0.83 (define @t70 () (_ @t28 tptp.sh)) % 0.42/0.83 (define @t71 () (= tptp.axvarshift (= @t70 tptp.id))) % 0.42/0.83 (define @t72 () (_ @t49 @t1)) % 0.42/0.83 (define @t73 () (_ @t17 @t1)) % 0.42/0.83 (define @t74 () (_ (_ tptp.push @t73) @t72)) % 0.42/0.83 (define @t75 () (forall @t46 (= @t74 @t1))) % 0.42/0.83 (define @t76 () (= tptp.axscons @t75)) % 0.42/0.83 (define @t77 () (_ tptp.var tptp.one)) % 0.42/0.83 (define @t78 () (_ @t6 tptp.sh)) % 0.42/0.83 (define @t79 () (_ tptp.var @t78)) % 0.42/0.83 (define @t80 () (_ tptp.var @t5)) % 0.42/0.83 (define @t81 () (forall @t23 (=> @t80 @t79))) % 0.42/0.83 (define @t82 () (= tptp.ulamvarsh @t81)) % 0.42/0.83 (define @t83 () (@var "P" (-> tptp.term Bool))) % 0.42/0.83 (define @t84 () (_ @t83 @t5)) % 0.42/0.83 (define @t85 () (forall @t23 (=> @t80 @t84))) % 0.42/0.83 (define @t86 () (_ @t83 @t78)) % 0.42/0.83 (define @t87 () (=> @t84 @t86)) % 0.42/0.83 (define @t88 () (forall @t23 (=> @t80 @t87))) % 0.42/0.83 (define @t89 () (=> @t88 @t85)) % 0.42/0.83 (define @t90 () (_ @t83 tptp.one)) % 0.42/0.83 (define @t91 () (=> @t90 @t89)) % 0.42/0.83 (define @t92 () (@list @t83)) % 0.42/0.83 (define @t93 () (forall @t92 @t91)) % 0.42/0.83 (define @t94 () (= tptp.ulamvarind @t93)) % 0.42/0.83 (define @t95 () (= @t5 @t2)) % 0.42/0.83 (define @t96 () (@var "D" tptp.term)) % 0.42/0.83 (define @t97 () (_ tptp.ap @t2)) % 0.42/0.83 (define @t98 () (_ @t97 @t96)) % 0.42/0.83 (define @t99 () (@var "C" tptp.term)) % 0.42/0.83 (define @t100 () (_ @t9 @t99)) % 0.42/0.83 (define @t101 () (= @t100 @t98)) % 0.42/0.83 (define @t102 () (@list @t5 @t2 @t99 @t96)) % 0.42/0.83 (define @t103 () (forall @t102 (=> @t101 @t95))) % 0.42/0.83 (define @t104 () (= tptp.apinj1 @t103)) % 0.42/0.83 (define @t105 () (= @t99 @t96)) % 0.42/0.83 (define @t106 () (forall @t102 (=> @t101 @t105))) % 0.42/0.83 (define @t107 () (= tptp.apinj2 @t106)) % 0.42/0.83 (define @t108 () (_ tptp.lam @t2)) % 0.42/0.83 (define @t109 () (= @t32 @t108)) % 0.42/0.83 (define @t110 () (@list @t5 @t2)) % 0.42/0.83 (define @t111 () (forall @t110 (=> @t109 @t95))) % 0.42/0.83 (define @t112 () (= tptp.laminj @t111)) % 0.42/0.83 (define @t113 () (_ @t3 tptp.sh)) % 0.42/0.83 (define @t114 () (= @t78 @t113)) % 0.42/0.83 (define @t115 () (forall @t110 (=> @t114 @t95))) % 0.42/0.83 (define @t116 () (= tptp.shinj @t115)) % 0.42/0.83 (define @t117 () (_ @t97 @t99)) % 0.42/0.83 (define @t118 () (= @t32 @t117)) % 0.42/0.83 (define @t119 () (not @t118)) % 0.42/0.83 (define @t120 () (@list @t5 @t2 @t99)) % 0.42/0.83 (define @t121 () (forall @t120 @t119)) % 0.42/0.83 (define @t122 () (= tptp.lamnotap @t121)) % 0.42/0.83 (define @t123 () (_ tptp.var @t10)) % 0.42/0.83 (define @t124 () (not @t123)) % 0.42/0.83 (define @t125 () (forall @t110 @t124)) % 0.42/0.83 (define @t126 () (= tptp.apnotvar @t125)) % 0.42/0.83 (define @t127 () (_ tptp.var @t32)) % 0.42/0.83 (define @t128 () (not @t127)) % 0.42/0.83 (define @t129 () (forall @t23 @t128)) % 0.42/0.83 (define @t130 () (= tptp.lamnotvar @t129)) % 0.42/0.83 (define @t131 () (forall @t23 @t84)) % 0.42/0.83 (define @t132 () (_ @t83 @t32)) % 0.42/0.83 (define @t133 () (forall @t23 (=> @t84 @t132))) % 0.42/0.83 (define @t134 () (=> @t133 @t131)) % 0.42/0.83 (define @t135 () (_ @t83 @t10)) % 0.42/0.83 (define @t136 () (_ @t83 @t2)) % 0.42/0.83 (define @t137 () (=> @t136 @t135)) % 0.42/0.83 (define @t138 () (forall @t110 (=> @t84 @t137))) % 0.42/0.83 (define @t139 () (=> @t138 @t134)) % 0.42/0.83 (define @t140 () (=> @t85 @t139)) % 0.42/0.83 (define @t141 () (forall @t92 @t140)) % 0.42/0.83 (define @t142 () (= tptp.induction @t141)) % 0.42/0.83 (define @t143 () (@var "Q" (-> tptp.term Bool))) % 0.42/0.83 (define @t144 () (_ (_ (_ (_ tptp.pushprop_p_and_p_prime @t5) @t1) @t83) @t143)) % 0.42/0.83 (define @t145 () (@list @t143)) % 0.42/0.83 (define @t146 () (@list @t83 @t5 @t1)) % 0.42/0.83 (define @t147 () (_ tptp.push @t2)) % 0.42/0.83 (define @t148 () (@var "K" (-> tptp.term Bool))) % 0.42/0.83 (define @t149 () (@list @t83 @t143 @t5 @t1)) % 0.42/0.83 (define @t150 () (_ tptp.sub @t99)) % 0.42/0.83 (define @t151 () (@list @t99)) % 0.42/0.83 (define @t152 () (_ @t83 @t4)) % 0.42/0.83 (define @t153 () (_ tptp.var @t2)) % 0.42/0.83 (define @t154 () (@list @t2)) % 0.42/0.83 (define @t155 () (forall @t154 (=> @t153 @t152))) % 0.42/0.83 (define @t156 () (_ @t3 @t16)) % 0.42/0.83 (define @t157 () (_ @t83 @t156)) % 0.42/0.83 (define @t158 () (forall @t154 (=> @t153 @t157))) % 0.42/0.83 (define @t159 () (_ @t143 @t2)) % 0.42/0.83 (define @t160 () (=> @t84 @t158)) % 0.42/0.83 (define @t161 () (=> @t155 @t160)) % 0.42/0.83 (define @t162 () (forall @t146 @t161)) % 0.42/0.83 (define @t163 () (= tptp.pushprop @t162)) % 0.42/0.83 (define @t164 () (=> tptp.ulamvar1 (=> tptp.axvarcons (=> tptp.axclos (=> tptp.axshiftcons (=> tptp.ulamvarind tptp.pushprop)))))) % 0.42/0.83 (define @t165 () (_ @t83 @t7)) % 0.42/0.83 (define @t166 () (=> @t155 @t165)) % 0.42/0.83 (define @t167 () (forall @t19 @t166)) % 0.42/0.83 (define @t168 () (_ @t147 tptp.id)) % 0.42/0.83 (define @t169 () (_ @t6 @t168)) % 0.42/0.83 (define @t170 () (_ @t83 @t169)) % 0.42/0.83 (define @t171 () (forall @t154 (=> @t136 @t170))) % 0.42/0.83 (define @t172 () (=> @t171 @t132)) % 0.42/0.83 (define @t173 () (forall @t23 @t172)) % 0.42/0.83 (define @t174 () (=> @t173 @t167)) % 0.42/0.83 (define @t175 () (=> @t138 @t174)) % 0.42/0.83 (define @t176 () (forall @t92 @t175)) % 0.42/0.83 (define @t177 () (= tptp.induction2lem @t176)) % 0.42/0.83 (define @t178 () (=> tptp.induction (=> tptp.pushprop tptp.induction2lem))) % 0.42/0.83 (define @t179 () (=> @t173 @t131)) % 0.42/0.83 (define @t180 () (=> @t138 @t179)) % 0.42/0.83 (define @t181 () (=> @t85 @t180)) % 0.42/0.83 (define @t182 () (forall @t92 @t181)) % 0.42/0.83 (define @t183 () (= tptp.induction2 @t182)) % 0.42/0.83 (define @t184 () (=> tptp.induction2lem tptp.induction2)) % 0.42/0.83 (define @t185 () (and @t59 @t47 @t68)) % 0.42/0.83 (define @t186 () (= tptp.substmonoid @t185)) % 0.42/0.83 (define @t187 () (and @t43 @t24)) % 0.42/0.83 (define @t188 () (= tptp.termmset @t187)) % 0.42/0.83 (define @t189 () (_ tptp.hoasap tptp.id)) % 0.42/0.83 (define @t190 () (_ (_ @t189 @t5) tptp.id)) % 0.42/0.83 (define @t191 () (= (_ @t190 @t99) (_ (_ (_ @t189 @t2) tptp.id) @t96))) % 0.42/0.83 (define @t192 () (=> @t191 @t95)) % 0.42/0.83 (define @t193 () (forall @t102 @t192)) % 0.42/0.83 (define @t194 () (= tptp.hoasapinj1 @t193)) % 0.42/0.83 (define @t195 () (=> @t191 @t105)) % 0.42/0.83 (define @t196 () (forall @t102 @t195)) % 0.42/0.83 (define @t197 () (= tptp.hoasapinj2 @t196)) % 0.42/0.83 (define @t198 () (@var "G" (-> tptp.subst tptp.term tptp.term))) % 0.42/0.83 (define @t199 () (_ (_ @t198 @t1) @t5)) % 0.42/0.83 (define @t200 () (@var "F" (-> tptp.subst tptp.term tptp.term))) % 0.42/0.83 (define @t201 () (_ @t200 @t1)) % 0.42/0.83 (define @t202 () (_ @t201 @t5)) % 0.42/0.83 (define @t203 () (= @t202 @t199)) % 0.42/0.83 (define @t204 () (@list @t1 @t5)) % 0.42/0.83 (define @t205 () (forall @t204 @t203)) % 0.42/0.83 (define @t206 () (lambda @t204 @t199)) % 0.42/0.83 (define @t207 () (_ tptp.hoaslam tptp.id)) % 0.42/0.83 (define @t208 () (lambda @t204 @t202)) % 0.42/0.83 (define @t209 () (_ @t207 @t208)) % 0.42/0.83 (define @t210 () (= @t209 (_ @t207 @t206))) % 0.42/0.83 (define @t211 () (=> @t210 @t205)) % 0.42/0.83 (define @t212 () (_ (_ @t198 @t38) @t61)) % 0.42/0.83 (define @t213 () (_ (_ tptp.sub @t199) @t37)) % 0.42/0.83 (define @t214 () (= @t213 @t212)) % 0.42/0.83 (define @t215 () (@list @t1 @t5 @t37)) % 0.42/0.83 (define @t216 () (forall @t215 @t214)) % 0.42/0.83 (define @t217 () (=> @t216 @t211)) % 0.42/0.83 (define @t218 () (@list @t198)) % 0.42/0.83 (define @t219 () (forall @t218 @t217)) % 0.42/0.83 (define @t220 () (_ (_ @t200 @t38) @t61)) % 0.42/0.83 (define @t221 () (_ (_ tptp.sub @t202) @t37)) % 0.42/0.83 (define @t222 () (= @t221 @t220)) % 0.42/0.83 (define @t223 () (forall @t215 @t222)) % 0.42/0.83 (define @t224 () (=> @t223 @t219)) % 0.42/0.83 (define @t225 () (@list @t200)) % 0.42/0.83 (define @t226 () (forall @t225 @t224)) % 0.42/0.83 (define @t227 () (= tptp.hoaslaminj @t226)) % 0.42/0.83 (define @t228 () (_ @t190 @t2)) % 0.42/0.83 (define @t229 () (lambda (@list @t1 @t99) (_ @t201 @t99))) % 0.42/0.83 (define @t230 () (= (_ @t207 @t229) @t228)) % 0.42/0.83 (define @t231 () (not @t230)) % 0.42/0.83 (define @t232 () (forall @t110 @t231)) % 0.42/0.83 (define @t233 () (=> @t223 @t232)) % 0.42/0.83 (define @t234 () (forall @t225 @t233)) % 0.42/0.83 (define @t235 () (= tptp.hoaslamnotap @t234)) % 0.42/0.83 (define @t236 () (_ tptp.hoasvar tptp.id)) % 0.42/0.83 (define @t237 () (not (_ (_ @t236 @t209) tptp.id))) % 0.42/0.83 (define @t238 () (=> @t223 @t237)) % 0.42/0.83 (define @t239 () (forall @t225 @t238)) % 0.42/0.83 (define @t240 () (= tptp.hoaslamnotvar @t239)) % 0.42/0.83 (define @t241 () (=> tptp.hoaslamnotap tptp.hoaslamnotvar)) % 0.42/0.83 (define @t242 () (=> tptp.hoaslaminj @t241)) % 0.42/0.83 (define @t243 () (=> tptp.hoasapinj2 @t242)) % 0.42/0.83 (define @t244 () (=> tptp.hoasapinj1 @t243)) % 0.42/0.83 (define @t245 () (=> tptp.termmset @t244)) % 0.42/0.83 (define @t246 () (=> tptp.substmonoid @t245)) % 0.42/0.83 (define @t247 () (=> tptp.induction2 @t246)) % 0.42/0.83 (define @t248 () (=> tptp.induction2lem @t247)) % 0.42/0.83 (define @t249 () (=> tptp.pushprop @t248)) % 0.42/0.83 (define @t250 () (=> tptp.induction @t249)) % 0.42/0.83 (define @t251 () (=> tptp.lamnotvar @t250)) % 0.42/0.83 (define @t252 () (=> tptp.apnotvar @t251)) % 0.42/0.83 (define @t253 () (=> tptp.lamnotap @t252)) % 0.42/0.83 (define @t254 () (=> tptp.shinj @t253)) % 0.42/0.83 (define @t255 () (=> tptp.laminj @t254)) % 0.42/0.83 (define @t256 () (=> tptp.apinj2 @t255)) % 0.42/0.83 (define @t257 () (=> tptp.apinj1 @t256)) % 0.42/0.83 (define @t258 () (=> tptp.ulamvarind @t257)) % 0.42/0.83 (define @t259 () (=> tptp.ulamvarsh @t258)) % 0.42/0.83 (define @t260 () (=> tptp.ulamvar1 @t259)) % 0.42/0.83 (define @t261 () (=> tptp.axscons @t260)) % 0.42/0.83 (define @t262 () (=> tptp.axvarshift @t261)) % 0.42/0.83 (define @t263 () (=> tptp.axidr @t262)) % 0.42/0.83 (define @t264 () (=> tptp.axmap @t263)) % 0.42/0.83 (define @t265 () (=> tptp.axassoc @t264)) % 0.42/0.83 (define @t266 () (=> tptp.axshiftcons @t265)) % 0.42/0.83 (define @t267 () (=> tptp.axidl @t266)) % 0.42/0.83 (define @t268 () (=> tptp.axclos @t267)) % 0.42/0.83 (define @t269 () (=> tptp.axabs @t268)) % 0.42/0.83 (define @t270 () (=> tptp.axvarid @t269)) % 0.42/0.83 (define @t271 () (=> tptp.axvarcons @t270)) % 0.42/0.83 (define @t272 () (=> tptp.axapp @t271)) % 0.42/0.83 (define @t273 () (= tptp.hoaslamnotvar_gthm @t272)) % 0.42/0.83 (define @t274 () (@var "P" (-> tptp.subst tptp.term tptp.subst Bool))) % 0.42/0.83 (define @t275 () (_ (_ tptp.hoasinduction_p_and_p_prime @t274) @t143)) % 0.42/0.83 (define @t276 () (@list @t274)) % 0.42/0.83 (define @t277 () (_ @t143 @t5)) % 0.42/0.83 (define @t278 () (_ @t274 tptp.id)) % 0.42/0.83 (define @t279 () (_ (_ @t278 @t5) tptp.id)) % 0.42/0.83 (define @t280 () (forall @t23 (=> (_ (_ @t236 @t5) tptp.id) @t279))) % 0.42/0.83 (define @t281 () (_ (_ (_ @t274 @t1) @t5) (_ (_ tptp.comp @t53) @t37))) % 0.42/0.83 (define @t282 () (_ (_ (_ @t274 (_ @t26 @t53)) (_ @t6 @t53)) @t37)) % 0.42/0.83 (define @t283 () (@list @t1 @t5 @t37 @t53)) % 0.42/0.83 (define @t284 () (forall @t283 (=> @t282 @t281))) % 0.42/0.83 (define @t285 () (forall @t283 (=> @t281 @t282))) % 0.42/0.83 (define @t286 () (@list @t274 @t143)) % 0.42/0.83 (define @t287 () (_ (_ @t278 @t2) tptp.id)) % 0.42/0.83 (define @t288 () (forall @t110 (=> @t279 (=> @t287 (_ (_ @t278 @t228) tptp.id))))) % 0.42/0.83 (define @t289 () (=> (forall @t23 (=> @t279 (_ (_ @t278 (_ (_ @t200 tptp.id) @t5)) tptp.id))) (_ (_ @t278 @t209) tptp.id))) % 0.42/0.83 (define @t290 () (forall @t225 (=> @t223 @t289))) % 0.42/0.83 (define @t291 () (=> @t290 (=> @t275 (forall @t23 (=> (forall @t154 (=> @t159 (_ @t143 @t169))) (_ @t143 @t32)))))) % 0.42/0.83 (define @t292 () (=> 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))))))))))))))))))))))))))))))))))) % 0.42/0.83 (define @t293 () (=> 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))))))))))))))))))))))))))))))))))) % 0.42/0.83 (define @t294 () (forall @t154 (=> @t287 (_ (_ @t278 @t169) tptp.id)))) % 0.42/0.83 (define @t295 () (forall @t23 (=> @t294 (_ (_ @t278 (_ tptp.lam (_ @t6 @t70))) tptp.id)))) % 0.42/0.83 (define @t296 () (=> @t290 (forall @t23 (=> @t294 (_ (_ @t278 @t32) tptp.id))))) % 0.42/0.83 (define @t297 () (_ @t200 tptp.sh)) % 0.42/0.83 (define @t298 () (_ @t297 tptp.one)) % 0.42/0.83 (define @t299 () (=> @t288 (=> @t290 (forall @t23 @t279)))) % 0.42/0.83 (define @t300 () (=> tptp.hoasinduction_lem1 (=> tptp.hoasinduction_lem2 (=> tptp.hoasinduction_lem3 tptp.hoasinduction)))) % 0.42/0.83 (define @t301 () (not tptp.hoaslamnotvar_gthm)) % 0.42/0.83 (define @t302 () (@var "X" tptp.term)) % 0.42/0.83 (define @t303 () (_ @t143 @t302)) % 0.42/0.83 (define @t304 () (@list @t302)) % 0.42/0.83 (define @t305 () (lambda (@list @t5 @t1 @t83 @t143) (forall @t304 (= @t303 (_ @t83 (_ (_ tptp.sub @t302) @t16)))))) % 0.42/0.83 (define @t306 () (_ tptp.ap @t61)) % 0.42/0.83 (define @t307 () (_ @t306 @t2)) % 0.42/0.83 (define @t308 () (lambda (@list @t1 @t5 @t37 @t2) @t307)) % 0.42/0.83 (define @t309 () (_ tptp.lam @t298)) % 0.42/0.83 (define @t310 () (lambda (@list @t1 @t200) @t309)) % 0.42/0.83 (define @t311 () (_ tptp.var @t61)) % 0.42/0.83 (define @t312 () (lambda @t215 @t311)) % 0.42/0.83 (define @t313 () (lambda @t286 (forall @t304 (= @t303 (_ (_ @t278 @t302) tptp.id))))) % 0.42/0.83 (define @t314 () (tptp.push tptp.one tptp.sh)) % 0.42/0.83 (define @t315 () (_ @t200 tptp.sh tptp.one)) % 0.42/0.83 (define @t316 () (tptp.lam @t315)) % 0.42/0.83 (define @t317 () (tptp.sub @t5 @t37)) % 0.42/0.83 (define @t318 () (tptp.comp @t1 @t37)) % 0.42/0.83 (define @t319 () (_ @t200 @t318 @t317)) % 0.42/0.83 (define @t320 () (_ @t200 @t1 @t5)) % 0.42/0.83 (define @t321 () (tptp.sub @t320 @t37)) % 0.42/0.83 (define @t322 () (forall @t215 (= @t321 @t319))) % 0.42/0.83 (define @t323 () (not @t322)) % 0.42/0.83 (define @t324 () (forall @t225 (or @t323 (not (tptp.var (tptp.sub @t316 @t314)))))) % 0.42/0.83 (define @t325 () (@var "BOUND_VARIABLE_9634" tptp.term)) % 0.42/0.83 (define @t326 () (@var "BOUND_VARIABLE_9632" tptp.term)) % 0.42/0.83 (define @t327 () (@list @t200 @t326 @t325)) % 0.42/0.83 (define @t328 () (@var "BOUND_VARIABLE_9580" tptp.term)) % 0.42/0.83 (define @t329 () (@var "BOUND_VARIABLE_9578" tptp.subst)) % 0.42/0.83 (define @t330 () (@var "BOUND_VARIABLE_9576" (-> tptp.subst tptp.term tptp.term))) % 0.42/0.83 (define @t331 () (= (_ @t200 @t329 @t328) (_ @t330 @t329 @t328))) % 0.42/0.83 (define @t332 () (not (= @t316 (tptp.lam (_ @t330 tptp.sh tptp.one))))) % 0.42/0.83 (define @t333 () (not (forall @t215 (= (tptp.sub (_ @t330 @t1 @t5) @t37) (_ @t330 @t318 @t317))))) % 0.42/0.83 (define @t334 () (or @t323 @t333 @t332 @t331)) % 0.42/0.83 (define @t335 () (@list @t200 @t330 @t329 @t328)) % 0.42/0.83 (define @t336 () (forall @t335 @t334)) % 0.42/0.83 (define @t337 () (tptp.sub @t5 @t314)) % 0.42/0.83 (define @t338 () (not (= (tptp.ap (tptp.sub @t2 @t314) @t96) (tptp.ap @t337 @t99)))) % 0.42/0.83 (define @t339 () (forall @t23 (= @t5 @t337))) % 0.42/0.83 (define @t340 () (tptp.sub @t5 @t318)) % 0.42/0.83 (define @t341 () (tptp.sub @t5 @t1)) % 0.42/0.83 (define @t342 () (tptp.sub @t341 @t37)) % 0.42/0.83 (define @t343 () (forall @t42 (= @t342 @t340))) % 0.42/0.83 (define @t344 () (forall @t46 (= @t1 (tptp.comp @t1 @t314)))) % 0.42/0.83 (define @t345 () (forall @t46 (= @t1 (tptp.comp @t314 @t1)))) % 0.42/0.83 (define @t346 () (tptp.comp @t37 @t53)) % 0.42/0.83 (define @t347 () (tptp.comp @t1 @t346)) % 0.42/0.83 (define @t348 () (tptp.comp @t318 @t53)) % 0.42/0.83 (define @t349 () (forall @t58 (= @t348 @t347))) % 0.42/0.83 (define @t350 () (@var "BOUND_VARIABLE_9396" tptp.term)) % 0.42/0.83 (define @t351 () (_ @t83 @t350)) % 0.42/0.83 (define @t352 () (tptp.lam @t5)) % 0.42/0.83 (define @t353 () (_ @t83 @t352)) % 0.42/0.83 (define @t354 () (_ @t83 @t2)) % 0.42/0.83 (define @t355 () (not @t354)) % 0.42/0.83 (define @t356 () (not (forall @t23 (or (not (forall @t154 (or @t355 (_ @t83 (tptp.sub @t5 (tptp.push @t2 @t314)))))) @t353)))) % 0.42/0.83 (define @t357 () (tptp.ap @t5 @t2)) % 0.42/0.83 (define @t358 () (_ @t83 @t357)) % 0.42/0.83 (define @t359 () (_ @t83 @t5)) % 0.42/0.83 (define @t360 () (not @t359)) % 0.42/0.83 (define @t361 () (forall @t110 (or @t360 @t355 @t358))) % 0.42/0.83 (define @t362 () (not @t361)) % 0.42/0.83 (define @t363 () (tptp.var @t5)) % 0.42/0.83 (define @t364 () (not @t363)) % 0.42/0.83 (define @t365 () (forall @t23 (or @t364 @t359))) % 0.42/0.83 (define @t366 () (not @t365)) % 0.42/0.83 (define @t367 () (@list @t83 @t350)) % 0.42/0.83 (define @t368 () (@var "BOUND_VARIABLE_9371" tptp.subst)) % 0.42/0.83 (define @t369 () (@var "BOUND_VARIABLE_9369" tptp.term)) % 0.42/0.83 (define @t370 () (_ @t83 (tptp.sub @t369 @t368))) % 0.42/0.83 (define @t371 () (tptp.var @t2)) % 0.42/0.83 (define @t372 () (not @t371)) % 0.42/0.83 (define @t373 () (not (forall @t154 (or @t372 (_ @t83 (tptp.sub @t2 @t368)))))) % 0.42/0.83 (define @t374 () (@list @t83 @t369 @t368)) % 0.42/0.83 (define @t375 () (tptp.push @t5 @t1)) % 0.42/0.83 (define @t376 () (@var "BOUND_VARIABLE_9324" tptp.term)) % 0.42/0.83 (define @t377 () (_ @t83 (tptp.sub @t376 @t375))) % 0.42/0.83 (define @t378 () (not (tptp.var @t376))) % 0.42/0.83 (define @t379 () (tptp.sub @t2 @t1)) % 0.42/0.83 (define @t380 () (_ @t83 @t379)) % 0.42/0.83 (define @t381 () (forall @t154 (or @t372 @t380))) % 0.42/0.83 (define @t382 () (not @t381)) % 0.42/0.83 (define @t383 () (or @t382 @t360 @t378 @t377)) % 0.42/0.83 (define @t384 () (@list @t83 @t5 @t1 @t376)) % 0.42/0.83 (define @t385 () (forall @t384 @t383)) % 0.42/0.83 (define @t386 () (@var "BOUND_VARIABLE_9170" tptp.term)) % 0.42/0.83 (define @t387 () (_ @t83 @t386)) % 0.42/0.83 (define @t388 () (forall @t23 (or @t360 @t353))) % 0.42/0.83 (define @t389 () (not @t388)) % 0.42/0.83 (define @t390 () (or @t366 @t362 @t389 @t387)) % 0.42/0.83 (define @t391 () (forall (@list @t83 @t386) @t390)) % 0.42/0.83 (define @t392 () (tptp.var @t352)) % 0.42/0.83 (define @t393 () (forall @t23 (not @t392))) % 0.42/0.83 (define @t394 () (tptp.var @t357)) % 0.42/0.83 (define @t395 () (forall @t110 (not @t394))) % 0.42/0.83 (define @t396 () (tptp.ap @t2 @t99)) % 0.42/0.83 (define @t397 () (forall @t120 (not (= @t352 @t396)))) % 0.42/0.83 (define @t398 () (tptp.sub @t2 tptp.sh)) % 0.42/0.83 (define @t399 () (tptp.sub @t5 tptp.sh)) % 0.42/0.83 (define @t400 () (forall @t110 (or (not (= @t399 @t398)) @t95))) % 0.42/0.83 (define @t401 () (tptp.lam @t2)) % 0.42/0.83 (define @t402 () (forall @t110 (or (not (= @t352 @t401)) @t95))) % 0.42/0.83 (define @t403 () (tptp.ap @t2 @t96)) % 0.42/0.83 (define @t404 () (tptp.ap @t5 @t99)) % 0.42/0.83 (define @t405 () (not (= @t404 @t403))) % 0.42/0.83 (define @t406 () (forall @t102 (or @t405 @t105))) % 0.42/0.83 (define @t407 () (forall @t102 (or @t405 @t95))) % 0.42/0.83 (define @t408 () (@var "BOUND_VARIABLE_9074" tptp.term)) % 0.42/0.83 (define @t409 () (_ @t83 @t408)) % 0.42/0.83 (define @t410 () (not (tptp.var @t408))) % 0.42/0.83 (define @t411 () (_ @t83 @t399)) % 0.42/0.83 (define @t412 () (forall @t23 (or @t364 @t360 @t411))) % 0.42/0.83 (define @t413 () (not @t412)) % 0.42/0.83 (define @t414 () (_ @t83 tptp.one)) % 0.42/0.83 (define @t415 () (not @t414)) % 0.42/0.83 (define @t416 () (or @t415 @t413 @t410 @t409)) % 0.42/0.83 (define @t417 () (@list @t83 @t408)) % 0.42/0.83 (define @t418 () (forall @t417 @t416)) % 0.42/0.83 (define @t419 () (tptp.var @t399)) % 0.42/0.83 (define @t420 () (forall @t23 (or @t364 @t419))) % 0.42/0.83 (define @t421 () (=> @t420 (=> @t418 (=> @t407 (=> @t406 (=> @t402 (=> @t400 (=> @t397 (=> @t395 (=> @t393 (=> @t391 (=> @t385 (=> (forall @t374 (or @t362 @t356 @t373 @t370)) (=> (forall @t367 (or @t366 @t362 @t356 @t351)) (=> (and @t349 @t345 @t344) (=> (and @t343 @t339) (=> (forall @t102 (or @t338 @t95)) (=> (forall @t102 (or @t338 @t105)) (=> @t336 (=> (forall @t327 (or @t323 (not (= @t316 (tptp.ap (tptp.sub @t326 @t314) @t325))))) @t324)))))))))))))))))))) % 0.42/0.83 (define @t422 () (tptp.var tptp.one)) % 0.42/0.83 (define @t423 () (=> @t77 @t421)) % 0.42/0.83 (define @t424 () (tptp.comp tptp.sh @t1)) % 0.42/0.83 (define @t425 () (tptp.sub tptp.one @t1)) % 0.42/0.83 (define @t426 () (tptp.push @t425 @t424)) % 0.42/0.83 (define @t427 () (forall @t46 (= @t1 @t426))) % 0.42/0.83 (define @t428 () (=> @t427 @t423)) % 0.42/0.83 (define @t429 () (=> @t344 @t428)) % 0.42/0.83 (define @t430 () (tptp.push @t317 @t318)) % 0.42/0.83 (define @t431 () (tptp.comp @t375 @t37)) % 0.42/0.83 (define @t432 () (forall @t42 (= @t431 @t430))) % 0.42/0.83 (define @t433 () (=> @t432 @t429)) % 0.42/0.83 (define @t434 () (=> @t349 @t433)) % 0.42/0.83 (define @t435 () (tptp.comp tptp.sh @t375)) % 0.42/0.83 (define @t436 () (forall @t19 (= @t1 @t435))) % 0.42/0.83 (define @t437 () (=> @t436 @t434)) % 0.42/0.83 (define @t438 () (=> @t345 @t437)) % 0.42/0.83 (define @t439 () (=> @t343 @t438)) % 0.42/0.83 (define @t440 () (tptp.comp @t1 tptp.sh)) % 0.42/0.83 (define @t441 () (tptp.push tptp.one @t440)) % 0.42/0.83 (define @t442 () (tptp.sub @t5 @t441)) % 0.42/0.83 (define @t443 () (tptp.lam @t442)) % 0.42/0.83 (define @t444 () (tptp.sub @t352 @t1)) % 0.42/0.83 (define @t445 () (forall @t19 (= @t444 @t443))) % 0.42/0.83 (define @t446 () (=> @t445 @t439)) % 0.42/0.83 (define @t447 () (=> @t339 @t446)) % 0.42/0.83 (define @t448 () (tptp.sub tptp.one @t375)) % 0.42/0.83 (define @t449 () (forall @t19 (= @t5 @t448))) % 0.42/0.83 (define @t450 () (=> @t449 @t447)) % 0.42/0.83 (define @t451 () (tptp.ap @t341 @t379)) % 0.42/0.83 (define @t452 () (tptp.sub @t357 @t1)) % 0.42/0.83 (define @t453 () (forall @t13 (= @t452 @t451))) % 0.42/0.83 (define @t454 () (=> @t453 @t450)) % 0.42/0.83 (define @t455 () (tptp.sub @t316 @t70)) % 0.42/0.83 (define @t456 () (tptp.var @t455)) % 0.42/0.83 (define @t457 () (not @t456)) % 0.42/0.83 (define @t458 () (or @t323 @t457)) % 0.42/0.83 (define @t459 () (forall @t225 @t458)) % 0.42/0.83 (define @t460 () (tptp.sub @t326 @t70)) % 0.42/0.83 (define @t461 () (tptp.ap @t460 @t325)) % 0.42/0.83 (define @t462 () (= @t316 @t461)) % 0.42/0.83 (define @t463 () (not @t462)) % 0.42/0.83 (define @t464 () (or @t323 @t463)) % 0.42/0.83 (define @t465 () (forall @t327 @t464)) % 0.42/0.83 (define @t466 () (=> @t465 @t459)) % 0.42/0.83 (define @t467 () (=> @t336 @t466)) % 0.42/0.83 (define @t468 () (tptp.sub @t5 @t70)) % 0.42/0.83 (define @t469 () (tptp.ap @t468 @t99)) % 0.42/0.83 (define @t470 () (tptp.sub @t2 @t70)) % 0.42/0.83 (define @t471 () (tptp.ap @t470 @t96)) % 0.42/0.83 (define @t472 () (= @t471 @t469)) % 0.42/0.83 (define @t473 () (not @t472)) % 0.42/0.83 (define @t474 () (or @t473 @t105)) % 0.42/0.83 (define @t475 () (not (= @t469 @t471))) % 0.42/0.83 (define @t476 () (or @t475 @t105)) % 0.42/0.83 (define @t477 () (forall @t102 @t476)) % 0.42/0.83 (define @t478 () (=> @t477 @t467)) % 0.42/0.83 (define @t479 () (or @t473 @t95)) % 0.42/0.83 (define @t480 () (or @t475 @t95)) % 0.42/0.83 (define @t481 () (forall @t102 @t480)) % 0.42/0.83 (define @t482 () (=> @t481 @t478)) % 0.42/0.83 (define @t483 () (= @t5 @t468)) % 0.42/0.83 (define @t484 () (forall @t23 @t483)) % 0.42/0.83 (define @t485 () (and @t343 @t484)) % 0.42/0.83 (define @t486 () (=> @t485 @t482)) % 0.42/0.83 (define @t487 () (tptp.comp @t1 @t70)) % 0.42/0.83 (define @t488 () (= @t1 @t487)) % 0.42/0.83 (define @t489 () (forall @t46 @t488)) % 0.42/0.83 (define @t490 () (tptp.comp @t70 @t1)) % 0.42/0.83 (define @t491 () (= @t1 @t490)) % 0.42/0.83 (define @t492 () (forall @t46 @t491)) % 0.42/0.83 (define @t493 () (and @t349 @t492 @t489)) % 0.42/0.83 (define @t494 () (=> @t493 @t486)) % 0.42/0.83 (define @t495 () (tptp.push @t2 @t70)) % 0.42/0.83 (define @t496 () (tptp.sub @t5 @t495)) % 0.42/0.83 (define @t497 () (_ @t83 @t496)) % 0.42/0.83 (define @t498 () (or @t355 @t497)) % 0.42/0.83 (define @t499 () (forall @t154 @t498)) % 0.42/0.83 (define @t500 () (not @t499)) % 0.42/0.83 (define @t501 () (or @t500 @t353)) % 0.42/0.83 (define @t502 () (forall @t23 @t501)) % 0.42/0.83 (define @t503 () (not @t502)) % 0.42/0.83 (define @t504 () (or @t366 @t362 @t503 @t351)) % 0.42/0.83 (define @t505 () (forall @t367 @t504)) % 0.42/0.83 (define @t506 () (=> @t505 @t494)) % 0.42/0.83 (define @t507 () (or @t362 @t503 @t373 @t370)) % 0.42/0.83 (define @t508 () (forall @t374 @t507)) % 0.42/0.83 (define @t509 () (=> @t508 @t506)) % 0.42/0.83 (define @t510 () (=> @t385 @t509)) % 0.42/0.83 (define @t511 () (=> @t391 @t510)) % 0.42/0.83 (define @t512 () (=> @t393 @t511)) % 0.42/0.83 (define @t513 () (=> @t395 @t512)) % 0.42/0.83 (define @t514 () (=> @t397 @t513)) % 0.42/0.83 (define @t515 () (=> @t400 @t514)) % 0.42/0.83 (define @t516 () (=> @t402 @t515)) % 0.42/0.83 (define @t517 () (=> @t406 @t516)) % 0.42/0.83 (define @t518 () (=> @t407 @t517)) % 0.42/0.83 (define @t519 () (=> @t418 @t518)) % 0.42/0.83 (define @t520 () (=> @t420 @t519)) % 0.42/0.83 (define @t521 () (=> @t77 @t520)) % 0.42/0.83 (define @t522 () (=> @t427 @t521)) % 0.42/0.83 (define @t523 () (=> (= @t70 @t70) @t522)) % 0.42/0.83 (define @t524 () (=> @t489 @t523)) % 0.42/0.83 (define @t525 () (=> @t432 @t524)) % 0.42/0.83 (define @t526 () (=> @t349 @t525)) % 0.42/0.83 (define @t527 () (=> @t436 @t526)) % 0.42/0.83 (define @t528 () (=> @t492 @t527)) % 0.42/0.83 (define @t529 () (=> @t343 @t528)) % 0.42/0.83 (define @t530 () (=> @t445 @t529)) % 0.42/0.83 (define @t531 () (=> @t484 @t530)) % 0.42/0.83 (define @t532 () (=> @t449 @t531)) % 0.42/0.83 (define @t533 () (=> @t453 @t532)) % 0.42/0.83 (define @t534 () (tptp.sub @t316 tptp.id)) % 0.42/0.83 (define @t535 () (tptp.var @t534)) % 0.42/0.83 (define @t536 () (not @t535)) % 0.42/0.83 (define @t537 () (or @t323 @t536)) % 0.42/0.83 (define @t538 () (forall @t225 @t537)) % 0.42/0.83 (define @t539 () (tptp.sub @t326 tptp.id)) % 0.42/0.83 (define @t540 () (tptp.ap @t539 @t325)) % 0.42/0.83 (define @t541 () (= @t316 @t540)) % 0.42/0.83 (define @t542 () (not @t541)) % 0.42/0.83 (define @t543 () (or @t323 @t542)) % 0.42/0.83 (define @t544 () (forall @t327 @t543)) % 0.42/0.83 (define @t545 () (=> @t544 @t538)) % 0.42/0.83 (define @t546 () (=> @t336 @t545)) % 0.42/0.83 (define @t547 () (tptp.sub @t2 tptp.id)) % 0.42/0.83 (define @t548 () (tptp.ap @t547 @t96)) % 0.42/0.83 (define @t549 () (tptp.sub @t5 tptp.id)) % 0.42/0.83 (define @t550 () (tptp.ap @t549 @t99)) % 0.42/0.83 (define @t551 () (= @t550 @t548)) % 0.42/0.83 (define @t552 () (not @t551)) % 0.42/0.83 (define @t553 () (or @t552 @t105)) % 0.42/0.83 (define @t554 () (forall @t102 @t553)) % 0.42/0.83 (define @t555 () (=> @t554 @t546)) % 0.42/0.83 (define @t556 () (or @t552 @t95)) % 0.42/0.83 (define @t557 () (forall @t102 @t556)) % 0.42/0.83 (define @t558 () (=> @t557 @t555)) % 0.42/0.83 (define @t559 () (= @t5 @t549)) % 0.42/0.83 (define @t560 () (forall @t23 @t559)) % 0.42/0.83 (define @t561 () (and @t343 @t560)) % 0.42/0.83 (define @t562 () (=> @t561 @t558)) % 0.42/0.83 (define @t563 () (tptp.comp @t1 tptp.id)) % 0.42/0.83 (define @t564 () (= @t1 @t563)) % 0.42/0.83 (define @t565 () (forall @t46 @t564)) % 0.42/0.83 (define @t566 () (tptp.comp tptp.id @t1)) % 0.42/0.83 (define @t567 () (= @t1 @t566)) % 0.42/0.83 (define @t568 () (forall @t46 @t567)) % 0.42/0.83 (define @t569 () (and @t349 @t568 @t565)) % 0.42/0.83 (define @t570 () (=> @t569 @t562)) % 0.42/0.83 (define @t571 () (tptp.push @t2 tptp.id)) % 0.42/0.83 (define @t572 () (tptp.sub @t5 @t571)) % 0.42/0.83 (define @t573 () (_ @t83 @t572)) % 0.42/0.83 (define @t574 () (or @t355 @t573)) % 0.42/0.83 (define @t575 () (forall @t154 @t574)) % 0.42/0.83 (define @t576 () (not @t575)) % 0.42/0.83 (define @t577 () (or @t576 @t353)) % 0.42/0.83 (define @t578 () (forall @t23 @t577)) % 0.42/0.83 (define @t579 () (not @t578)) % 0.42/0.83 (define @t580 () (or @t366 @t362 @t579 @t351)) % 0.42/0.83 (define @t581 () (forall @t367 @t580)) % 0.42/0.83 (define @t582 () (=> @t581 @t570)) % 0.42/0.83 (define @t583 () (or @t362 @t579 @t373 @t370)) % 0.42/0.83 (define @t584 () (forall @t374 @t583)) % 0.42/0.83 (define @t585 () (=> @t584 @t582)) % 0.42/0.83 (define @t586 () (=> @t385 @t585)) % 0.42/0.83 (define @t587 () (=> @t391 @t586)) % 0.42/0.83 (define @t588 () (=> @t393 @t587)) % 0.42/0.83 (define @t589 () (=> @t395 @t588)) % 0.42/0.83 (define @t590 () (=> @t397 @t589)) % 0.42/0.83 (define @t591 () (=> @t400 @t590)) % 0.42/0.83 (define @t592 () (=> @t402 @t591)) % 0.42/0.83 (define @t593 () (=> @t406 @t592)) % 0.42/0.83 (define @t594 () (=> @t407 @t593)) % 0.42/0.83 (define @t595 () (=> @t418 @t594)) % 0.42/0.83 (define @t596 () (=> @t420 @t595)) % 0.42/0.83 (define @t597 () (=> @t77 @t596)) % 0.42/0.83 (define @t598 () (=> @t427 @t597)) % 0.42/0.83 (define @t599 () (= tptp.id @t70)) % 0.42/0.83 (define @t600 () (=> @t599 @t598)) % 0.42/0.83 (define @t601 () (=> @t565 @t600)) % 0.42/0.83 (define @t602 () (=> @t432 @t601)) % 0.42/0.83 (define @t603 () (=> @t349 @t602)) % 0.42/0.83 (define @t604 () (=> @t436 @t603)) % 0.42/0.83 (define @t605 () (=> @t568 @t604)) % 0.42/0.83 (define @t606 () (=> @t343 @t605)) % 0.42/0.83 (define @t607 () (=> @t445 @t606)) % 0.42/0.83 (define @t608 () (=> @t560 @t607)) % 0.42/0.83 (define @t609 () (=> @t449 @t608)) % 0.42/0.83 (define @t610 () (_ tptp.sub @t309)) % 0.42/0.83 (define @t611 () (_ @t610 tptp.id)) % 0.42/0.83 (define @t612 () (_ tptp.var @t611)) % 0.42/0.83 (define @t613 () (not @t612)) % 0.42/0.83 (define @t614 () (or @t323 @t613)) % 0.42/0.83 (define @t615 () (lambda (@list @t37) (_ tptp.var (_ @t610 @t37)))) % 0.42/0.83 (define @t616 () (lambda (@list @t5 @t37) @t311)) % 0.42/0.83 (define @t617 () (lambda @t23 (_ @t297 @t5))) % 0.42/0.83 (define @t618 () (_ @t208 tptp.sh)) % 0.42/0.83 (define @t619 () (lambda @t225 @t309)) % 0.42/0.83 (define @t620 () (_ @t310 tptp.id)) % 0.42/0.83 (define @t621 () (_ @t312 tptp.id)) % 0.42/0.83 (define @t622 () (_ @t620 @t208)) % 0.42/0.83 (define @t623 () (not (_ (_ @t621 @t622) tptp.id))) % 0.42/0.83 (define @t624 () (=> @t223 @t623)) % 0.42/0.83 (define @t625 () (forall @t225 @t624)) % 0.42/0.83 (define @t626 () (@list @t326 @t325)) % 0.42/0.83 (define @t627 () (forall @t626 @t543)) % 0.42/0.83 (define @t628 () (forall @t626 @t542)) % 0.42/0.83 (define @t629 () (or @t323 @t628)) % 0.42/0.83 (define @t630 () (tptp.ap @t549 @t2)) % 0.42/0.83 (define @t631 () (forall @t110 (not (= @t316 @t630)))) % 0.42/0.83 (define @t632 () (_ tptp.ap @t549)) % 0.42/0.83 (define @t633 () (_ tptp.ap @t22)) % 0.42/0.83 (define @t634 () (_ @t633 @t2)) % 0.42/0.83 (define @t635 () (= @t309 @t634)) % 0.42/0.83 (define @t636 () (not @t635)) % 0.42/0.83 (define @t637 () (lambda @t154 @t634)) % 0.42/0.83 (define @t638 () (lambda (@list @t37 @t2) @t307)) % 0.42/0.83 (define @t639 () (lambda (@list @t5 @t37 @t2) @t307)) % 0.42/0.83 (define @t640 () (_ @t308 tptp.id)) % 0.42/0.83 (define @t641 () (lambda @t151 (_ @t297 @t99))) % 0.42/0.83 (define @t642 () (_ @t229 tptp.sh)) % 0.42/0.83 (define @t643 () (_ (_ @t640 @t5) tptp.id)) % 0.42/0.83 (define @t644 () (= (_ @t620 @t229) (_ @t643 @t2))) % 0.42/0.83 (define @t645 () (not @t644)) % 0.42/0.83 (define @t646 () (forall @t110 @t645)) % 0.42/0.83 (define @t647 () (=> @t223 @t646)) % 0.42/0.83 (define @t648 () (forall @t225 @t647)) % 0.42/0.83 (define @t649 () (or @t333 @t332 @t331)) % 0.42/0.83 (define @t650 () (or @t323 @t649)) % 0.42/0.83 (define @t651 () (forall @t335 @t650)) % 0.42/0.83 (define @t652 () (@list @t330 @t329 @t328)) % 0.42/0.83 (define @t653 () (forall @t652 @t650)) % 0.42/0.83 (define @t654 () (forall @t652 @t649)) % 0.42/0.83 (define @t655 () (@var "BOUND_VARIABLE_9563" tptp.term)) % 0.42/0.83 (define @t656 () (@var "BOUND_VARIABLE_9561" tptp.subst)) % 0.42/0.83 (define @t657 () (or @t323 @t654)) % 0.42/0.83 (define @t658 () (= (_ @t200 @t656 @t655) (_ @t198 @t656 @t655))) % 0.42/0.83 (define @t659 () (_ @t198 tptp.sh tptp.one)) % 0.42/0.83 (define @t660 () (tptp.lam @t659)) % 0.42/0.83 (define @t661 () (not (= @t316 @t660))) % 0.42/0.83 (define @t662 () (_ @t198 @t318 @t317)) % 0.42/0.83 (define @t663 () (_ @t198 @t1 @t5)) % 0.42/0.83 (define @t664 () (tptp.sub @t663 @t37)) % 0.42/0.83 (define @t665 () (forall @t215 (= @t664 @t662))) % 0.42/0.83 (define @t666 () (not @t665)) % 0.42/0.83 (define @t667 () (or @t666 @t661 @t658)) % 0.42/0.83 (define @t668 () (forall (@list @t198 @t656 @t655) @t667)) % 0.42/0.83 (define @t669 () (@list @t656 @t655)) % 0.42/0.83 (define @t670 () (forall @t669 @t667)) % 0.42/0.83 (define @t671 () (forall @t669 @t658)) % 0.42/0.83 (define @t672 () (or @t666 @t661 @t671)) % 0.42/0.83 (define @t673 () (forall @t204 (= @t320 @t663))) % 0.42/0.83 (define @t674 () (_ @t198 tptp.sh)) % 0.42/0.83 (define @t675 () (_ @t674 tptp.one)) % 0.42/0.83 (define @t676 () (_ tptp.lam @t675)) % 0.42/0.83 (define @t677 () (= @t309 @t676)) % 0.42/0.83 (define @t678 () (not @t677)) % 0.42/0.83 (define @t679 () (or @t666 @t678 @t673)) % 0.42/0.83 (define @t680 () (=> @t677 @t673)) % 0.42/0.83 (define @t681 () (lambda @t23 (_ @t674 @t5))) % 0.42/0.83 (define @t682 () (_ @t206 tptp.sh)) % 0.42/0.83 (define @t683 () (= @t622 (_ @t620 @t206))) % 0.42/0.83 (define @t684 () (=> @t683 @t205)) % 0.42/0.83 (define @t685 () (=> @t216 @t684)) % 0.42/0.83 (define @t686 () (forall @t218 @t685)) % 0.42/0.83 (define @t687 () (=> @t223 @t686)) % 0.42/0.83 (define @t688 () (forall @t225 @t687)) % 0.42/0.83 (define @t689 () (_ @t3 tptp.id)) % 0.42/0.83 (define @t690 () (_ tptp.ap @t689)) % 0.42/0.83 (define @t691 () (_ @t690 @t96)) % 0.42/0.83 (define @t692 () (_ @t633 @t99)) % 0.42/0.83 (define @t693 () (= @t692 @t691)) % 0.42/0.83 (define @t694 () (not @t693)) % 0.42/0.83 (define @t695 () (or @t694 @t105)) % 0.42/0.83 (define @t696 () (@var "BOUND_VARIABLE_9440" tptp.term)) % 0.42/0.83 (define @t697 () (lambda (@list @t696) (_ @t690 @t696))) % 0.42/0.83 (define @t698 () (lambda (@list @t37 @t696) (_ (_ tptp.ap (_ @t3 @t37)) @t696))) % 0.42/0.83 (define @t699 () (@list @t2)) % 0.42/0.83 (define @t700 () (= (_ @t643 @t99) (_ (_ (_ @t640 @t2) tptp.id) @t96))) % 0.42/0.83 (define @t701 () (=> @t700 @t105)) % 0.42/0.83 (define @t702 () (forall @t102 @t701)) % 0.42/0.83 (define @t703 () (or @t694 @t95)) % 0.42/0.83 (define @t704 () (=> @t700 @t95)) % 0.42/0.83 (define @t705 () (forall @t102 @t704)) % 0.42/0.83 (define @t706 () (= @t5 @t22)) % 0.42/0.83 (define @t707 () (= @t1 @t67)) % 0.42/0.83 (define @t708 () (= @t1 @t45)) % 0.42/0.83 (define @t709 () (@list @t350)) % 0.42/0.83 (define @t710 () (forall @t709 @t580)) % 0.42/0.83 (define @t711 () (forall @t709 @t351)) % 0.42/0.83 (define @t712 () (@list @t5)) % 0.42/0.83 (define @t713 () (or @t366 @t362 @t579 @t711)) % 0.42/0.83 (define @t714 () (forall @t23 @t359)) % 0.42/0.83 (define @t715 () (or @t366 @t362 @t579 @t714)) % 0.42/0.83 (define @t716 () (or @t362 @t579 @t714)) % 0.42/0.83 (define @t717 () (=> @t578 @t714)) % 0.42/0.83 (define @t718 () (=> @t361 @t717)) % 0.42/0.83 (define @t719 () (or @t576 @t132)) % 0.42/0.83 (define @t720 () (not @t136)) % 0.42/0.83 (define @t721 () (or @t720 @t170)) % 0.42/0.83 (define @t722 () (not @t84)) % 0.42/0.83 (define @t723 () (or @t722 @t720 @t135)) % 0.42/0.83 (define @t724 () (not @t80)) % 0.42/0.83 (define @t725 () (or @t724 @t84)) % 0.42/0.83 (define @t726 () (or @t373 @t370)) % 0.42/0.83 (define @t727 () (or @t362 @t579 @t726)) % 0.42/0.83 (define @t728 () (forall @t374 @t727)) % 0.42/0.83 (define @t729 () (@list @t369 @t368)) % 0.42/0.83 (define @t730 () (forall @t729 @t727)) % 0.42/0.83 (define @t731 () (forall @t729 @t726)) % 0.42/0.83 (define @t732 () (or @t362 @t579 @t731)) % 0.42/0.83 (define @t733 () (_ @t83 @t341)) % 0.42/0.83 (define @t734 () (forall @t19 (or @t382 @t733))) % 0.42/0.83 (define @t735 () (or @t362 @t579 @t734)) % 0.42/0.83 (define @t736 () (=> @t578 @t734)) % 0.42/0.83 (define @t737 () (or @t382 @t165)) % 0.42/0.83 (define @t738 () (not @t153)) % 0.42/0.83 (define @t739 () (or @t738 @t152)) % 0.42/0.83 (define @t740 () (or @t378 @t377)) % 0.42/0.83 (define @t741 () (or @t382 @t360 @t740)) % 0.42/0.83 (define @t742 () (forall @t384 @t741)) % 0.42/0.83 (define @t743 () (@list @t376)) % 0.42/0.83 (define @t744 () (forall @t743 @t741)) % 0.42/0.83 (define @t745 () (forall @t743 @t740)) % 0.42/0.83 (define @t746 () (or @t382 @t360 @t745)) % 0.42/0.83 (define @t747 () (tptp.sub @t2 @t375)) % 0.42/0.83 (define @t748 () (_ @t83 @t747)) % 0.42/0.83 (define @t749 () (forall @t154 (or @t372 @t748))) % 0.42/0.83 (define @t750 () (or @t382 @t722 @t749)) % 0.42/0.83 (define @t751 () (=> @t84 @t749)) % 0.42/0.83 (define @t752 () (or @t738 @t157)) % 0.42/0.83 (define @t753 () (@list @t386)) % 0.42/0.83 (define @t754 () (forall @t753 @t390)) % 0.42/0.83 (define @t755 () (forall @t753 @t387)) % 0.42/0.83 (define @t756 () (or @t366 @t362 @t389 @t755)) % 0.42/0.83 (define @t757 () (or @t366 @t362 @t389 @t714)) % 0.42/0.83 (define @t758 () (or @t362 @t389 @t714)) % 0.42/0.83 (define @t759 () (=> @t388 @t714)) % 0.42/0.83 (define @t760 () (=> @t361 @t759)) % 0.42/0.83 (define @t761 () (or @t722 @t132)) % 0.42/0.83 (define @t762 () (not @t114)) % 0.42/0.83 (define @t763 () (or @t762 @t95)) % 0.42/0.83 (define @t764 () (not @t109)) % 0.42/0.83 (define @t765 () (or @t764 @t95)) % 0.42/0.83 (define @t766 () (not @t101)) % 0.42/0.83 (define @t767 () (or @t766 @t105)) % 0.42/0.83 (define @t768 () (or @t766 @t95)) % 0.42/0.83 (define @t769 () (or @t410 @t409)) % 0.42/0.83 (define @t770 () (or @t415 @t413 @t769)) % 0.42/0.83 (define @t771 () (forall @t417 @t770)) % 0.42/0.83 (define @t772 () (@list @t408)) % 0.42/0.83 (define @t773 () (forall @t772 @t770)) % 0.42/0.83 (define @t774 () (forall @t772 @t769)) % 0.42/0.83 (define @t775 () (or @t415 @t413 @t774)) % 0.42/0.83 (define @t776 () (not @t90)) % 0.42/0.83 (define @t777 () (or @t776 @t413 @t365)) % 0.42/0.83 (define @t778 () (=> @t412 @t365)) % 0.42/0.83 (define @t779 () (or @t724 @t722 @t86)) % 0.42/0.83 (define @t780 () (or @t724 @t79)) % 0.42/0.83 (define @t781 () (= @t1 @t74)) % 0.42/0.83 (define @t782 () (= @t1 @t50)) % 0.42/0.83 (define @t783 () (= @t5 @t18)) % 0.42/0.83 (define @t784 () (@quantifiers_skolemize @t324 0)) % 0.42/0.83 (define @t785 () (_ @t784 tptp.sh tptp.one)) % 0.42/0.83 (define @t786 () (tptp.lam @t785)) % 0.42/0.83 (define @t787 () (tptp.var (tptp.sub @t786 @t314))) % 0.42/0.83 (define @t788 () (not @t787)) % 0.42/0.83 (define @t789 () (or (not (forall @t215 (= (tptp.sub (_ @t784 @t1 @t5) @t37) (_ @t784 @t318 @t317)))) @t788)) % 0.42/0.83 (define @t790 () (tptp.var @t786)) % 0.42/0.83 (assume @p1 @t15) % 0.42/0.83 (assume @p2 @t21) % 0.42/0.83 (assume @p3 @t25) % 0.42/0.83 (assume @p4 @t36) % 0.42/0.83 (assume @p5 @t44) % 0.42/0.83 (assume @p6 @t48) % 0.42/0.83 (assume @p7 @t52) % 0.42/0.83 (assume @p8 @t60) % 0.42/0.83 (assume @p9 @t66) % 0.42/0.83 (assume @p10 @t69) % 0.42/0.83 (assume @p11 @t71) % 0.42/0.83 (assume @p12 @t76) % 0.42/0.83 (assume @p13 (= tptp.ulamvar1 @t77)) % 0.42/0.83 (assume @p14 @t82) % 0.42/0.83 (assume @p15 @t94) % 0.42/0.83 (assume @p16 @t104) % 0.42/0.83 (assume @p17 @t107) % 0.42/0.83 (assume @p18 @t112) % 0.42/0.83 (assume @p19 @t116) % 0.42/0.83 (assume @p20 @t122) % 0.42/0.83 (assume @p21 @t126) % 0.42/0.83 (assume @p22 @t130) % 0.42/0.83 (assume @p23 @t142) % 0.42/0.83 (assume @p24 (= tptp.pushprop_lem0 (forall @t146 (exists @t145 @t144)))) % 0.42/0.83 (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))))))))))))))))))))))))) % 0.42/0.83 (assume @p26 (= tptp.pushprop_lem0_lthm tptp.pushprop_lem0)) % 0.42/0.83 (assume @p27 (= tptp.pushprop_lem1 (forall (@list @t83 @t148 @t5 @t1 @t2) (=> @t84 (_ @t148 (_ @t6 (_ @t147 @t1))))))) % 0.42/0.83 (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))))))))))))))))))))))))) % 0.42/0.83 (assume @p29 (= tptp.pushprop_lem1_lthm (=> tptp.axvarcons (=> tptp.axclos (=> tptp.axshiftcons (=> tptp.ulamvarind tptp.pushprop_lem1)))))) % 0.42/0.83 (assume @p30 (= tptp.pushprop_lem1v2 (forall @t149 (=> @t84 (=> @t144 (_ @t143 tptp.one)))))) % 0.42/0.83 (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))))))))))))))))))))))))) % 0.42/0.83 (assume @p32 (= tptp.pushprop_lem1v2_lthm (=> tptp.axvarcons tptp.pushprop_lem1v2))) % 0.42/0.83 (assume @p33 (= tptp.pushprop_lem2v2 (forall @t149 (=> @t144 (=> @t155 (forall @t151 (=> (_ tptp.var @t99) (=> (_ @t143 @t99) (_ @t143 (_ @t150 tptp.sh)))))))))) % 0.42/0.83 (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))))))))))))))))))))))))) % 0.42/0.83 (assume @p35 (= tptp.pushprop_lem2v2_lthm (=> tptp.axclos (=> tptp.axshiftcons tptp.pushprop_lem2v2)))) % 0.42/0.83 (assume @p36 (= tptp.pushprop_lem3v2 (forall @t149 (=> @t144 (=> (forall @t154 (=> @t153 @t159)) @t158))))) % 0.42/0.83 (assume @p37 (= tptp.pushprop_lem3v2_lthm tptp.pushprop_lem3v2)) % 0.42/0.83 (assume @p38 @t163) % 0.42/0.83 (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))))))))))))))))))))))))) % 0.42/0.83 (assume @p40 (= tptp.pushprop_lthm_orig @t164)) % 0.42/0.83 (assume @p41 (= tptp.pushprop_lthm (=> tptp.pushprop_lem0 @t164))) % 0.42/0.83 (assume @p42 @t177) % 0.42/0.83 (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)))))))))))))))))))))))) % 0.42/0.83 (assume @p44 (= tptp.induction2lem_lthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axabs (=> tptp.axclos (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr @t178)))))))))) % 0.42/0.83 (assume @p45 @t183) % 0.42/0.83 (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)))))))))))))))))))))))))) % 0.42/0.83 (assume @p47 (= tptp.induction2_lthm (=> tptp.axvarid @t184))) % 0.42/0.83 (assume @p48 @t186) % 0.42/0.83 (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)))))))))))))))))))))))))))) % 0.42/0.83 (assume @p50 (= tptp.substmonoid_lthm (=> tptp.axidl (=> tptp.axassoc (=> tptp.axidr tptp.substmonoid))))) % 0.42/0.83 (assume @p51 @t188) % 0.42/0.83 (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))))))))))))))))))))))))))))) % 0.42/0.83 (assume @p53 (= tptp.termmset_lthm (=> tptp.axvarid (=> tptp.axclos tptp.termmset)))) % 0.42/0.83 (assume @p54 @t194) % 0.42/0.83 (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)))))))))))))))))))))))))))))) % 0.42/0.83 (assume @p56 (= tptp.hoasapinj1_lthm (=> tptp.axvarid (=> tptp.apinj1 tptp.hoasapinj1)))) % 0.42/0.83 (assume @p57 @t197) % 0.42/0.83 (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))))))))))))))))))))))))))))))) % 0.42/0.83 (assume @p59 (= tptp.hoasapinj2_lthm (=> tptp.apinj2 tptp.hoasapinj2))) % 0.42/0.83 (assume @p60 @t227) % 0.42/0.83 (assume @p61 (= tptp.hoaslaminj_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)))))))))))))))))))))))))))))))) % 0.42/0.83 (assume @p62 (= tptp.hoaslaminj_lthm (=> tptp.axvarcons (=> tptp.axshiftcons (=> tptp.laminj tptp.hoaslaminj))))) % 0.42/0.83 (assume @p63 @t235) % 0.42/0.83 (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))))))))))))))))))))))))))))))))) % 0.42/0.83 (assume @p65 (= tptp.hoaslamnotap_lthm (=> tptp.lamnotap tptp.hoaslamnotap))) % 0.42/0.83 (assume @p66 @t240) % 0.42/0.83 (assume @p67 @t273) % 0.42/0.83 (assume @p68 (= tptp.hoaslamnotvar_lthm (=> tptp.axvarid (=> tptp.lamnotvar tptp.hoaslamnotvar)))) % 0.42/0.83 (assume @p69 (= tptp.hoasapnotvar (forall @t110 (not (_ (_ @t236 @t228) tptp.id))))) % 0.42/0.83 (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))))))))))))))))))))))))))))))))))) % 0.42/0.83 (assume @p71 (= tptp.hoasapnotvar_lthm (=> tptp.axvarid (=> tptp.apnotvar tptp.hoasapnotvar)))) % 0.42/0.83 (assume @p72 (= tptp.hoasinduction_lem0 (forall @t276 (exists @t145 @t275)))) % 0.42/0.83 (assume @p73 (= tptp.hoasinduction_lem0_lthm tptp.hoasinduction_lem0)) % 0.42/0.83 (assume @p74 (= tptp.hoasinduction_lem1v2 (forall @t286 (=> @t285 (=> @t284 (=> @t280 (=> @t275 (forall @t23 (=> @t80 @t277))))))))) % 0.42/0.83 (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)))))))))))))))))))))))))))))))))))) % 0.42/0.83 (assume @p76 (= tptp.hoasinduction_lem2v2 (forall @t286 (=> @t285 (=> @t284 (=> @t288 (=> @t275 (forall @t110 (=> @t277 (=> @t159 (_ @t143 @t10))))))))))) % 0.42/0.83 (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)))))))))))))))))))))))))))))))))))) % 0.42/0.83 (assume @p78 (= tptp.hoasinduction_lem3v2_f (forall @t154 (exists @t225 (forall @t19 (= @t202 @t156)))))) % 0.42/0.83 (assume @p79 (= tptp.hoasinduction_lem3v2_f_lthm tptp.hoasinduction_lem3v2_f)) % 0.42/0.83 (assume @p80 (= tptp.hoasinduction_lem3v2 (forall @t286 (=> @t285 (=> @t284 @t291))))) % 0.42/0.83 (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)))))))))))))))))))))))))))))))))))) % 0.42/0.83 (assume @p82 (= tptp.hoasinduction_lem3v2_lthm (=> tptp.axvarid (=> tptp.axvarshift (=> tptp.axclos (=> tptp.axmap tptp.hoasinduction_lem3v2)))))) % 0.42/0.83 (assume @p83 (= tptp.hoasinduction_lem3v2a (forall @t286 @t291))) % 0.42/0.83 (assume @p84 (= tptp.hoasinduction_lem3v2a_lthm (=> tptp.hoasinduction_lem3v2_f (=> tptp.axvarid (=> tptp.axvarshift (=> tptp.axclos (=> tptp.axmap tptp.hoasinduction_lem3v2a))))))) % 0.42/0.83 (assume @p85 (= tptp.hoasinduction_lem1 (forall @t276 (=> @t285 (=> @t284 (=> @t280 (forall @t23 (=> @t80 @t279)))))))) % 0.42/0.83 (assume @p86 (= tptp.hoasinduction_lem1_gthm @t292)) % 0.42/0.83 (assume @p87 (= tptp.hoasinduction_lem1_lthm @t292)) % 0.42/0.83 (assume @p88 (= tptp.hoasinduction_lem2 (forall @t276 (=> @t285 (=> @t284 (=> @t288 (forall @t110 (=> @t279 (=> @t287 (_ (_ @t278 @t10) tptp.id)))))))))) % 0.42/0.83 (assume @p89 (= tptp.hoasinduction_lem2_gthm @t293)) % 0.42/0.83 (assume @p90 (= tptp.hoasinduction_lem2_lthm @t293)) % 0.42/0.83 (assume @p91 (= tptp.hoasinduction_lem3aa (forall @t276 (=> @t290 @t295)))) % 0.42/0.83 (assume @p92 (= tptp.hoasinduction_lem3aa_lthm (=> tptp.axclos (=> tptp.axmap tptp.hoasinduction_lem3aa)))) % 0.42/0.83 (assume @p93 (= tptp.hoasinduction_lem3aaa (forall @t276 (=> (forall @t225 (=> (exists @t151 (forall @t215 (and (= @t221 (_ (_ tptp.sub (_ @t150 @t16)) @t37)) (= (_ @t150 @t62) @t220)))) @t289)) @t295)))) % 0.42/0.83 (assume @p94 (= tptp.hoasinduction_lem3 (forall @t276 (=> @t285 (=> @t284 @t296))))) % 0.42/0.83 (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)))))))))))))))))))))))))))))))))))))) % 0.42/0.83 (assume @p96 (= tptp.hoasinduction_lem3_lthm (=> tptp.axvarid (=> tptp.axvarshift (=> tptp.hoasinduction_lem3aa tptp.hoasinduction_lem3))))) % 0.42/0.83 (assume @p97 (= tptp.hoasinduction_lem3a (forall @t276 @t296))) % 0.42/0.83 (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)))))))))))))))))))))))))))))))))))))) % 0.42/0.83 (assume @p99 (= tptp.hoasinduction_lem3a_lthm (=> tptp.axvarid (=> tptp.axvarshift (=> tptp.hoasinduction_lem3aa tptp.hoasinduction_lem3a))))) % 0.42/0.83 (assume @p100 (= tptp.hoasinduction_lem3b (forall @t154 (exists @t225 (= (_ @t3 @t70) @t298))))) % 0.42/0.83 (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)))))))))))))))))))))))))))))))))))))) % 0.42/0.83 (assume @p102 (= tptp.hoasinduction_lem3b_lthm tptp.hoasinduction_lem3b)) % 0.42/0.83 (assume @p103 (= tptp.hoasinduction (forall @t276 (=> @t285 (=> @t284 (=> @t280 @t299)))))) % 0.42/0.83 (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 @t300)))))))))))))))))))))))))))))))))))) % 0.42/0.83 (assume @p105 (= tptp.hoasinduction_lthm (=> tptp.induction2 @t300))) % 0.42/0.83 (assume @p106 (= tptp.hoasinduction_lthm_3 (=> tptp.hoasinduction_lem0 (=> tptp.induction2 (=> tptp.axvarid (=> tptp.hoasinduction_lem3v2a tptp.hoasinduction)))))) % 0.42/0.83 (assume @p107 (= tptp.hoasinduction_no_psi_cond (forall @t276 @t299))) % 0.42/0.83 (assume @p108 (= tptp.hoasinduction_no_psi_cond_lthm (=> tptp.hoasinduction_lem0 (=> tptp.induction2 (=> tptp.axvarid (=> tptp.hoasinduction_lem3v2a tptp.hoasinduction_no_psi_cond)))))) % 0.42/0.83 (assume @p109 @t301) % 0.42/0.83 (assume @p110 true) % 0.42/0.83 (step @p111 (= tptp.pushprop_p_and_p_prime @t305) :rule refl :args (@t305)) % 0.42/0.83 (step @p112 (= tptp.hoasap @t308) :rule refl :args (@t308)) % 0.42/0.83 (step @p113 (= tptp.hoaslam @t310) :rule refl :args (@t310)) % 0.42/0.83 (step @p114 (= tptp.hoasvar @t312) :rule refl :args (@t312)) % 0.42/0.83 (step @p115 (= tptp.hoasinduction_p_and_p_prime @t313) :rule refl :args (@t313)) % 0.42/0.83 (step @p116 :rule refl :args (@t421)) % 0.42/0.83 (step @p117 :rule refl :args (@t422)) % 0.42/0.83 (step @p118 :rule refl :args (@t77)) % 0.42/0.83 (step @p119 :rule cong :premises (@p118 @p117) :args ((= @t77 @t422))) % 0.42/0.83 (step @p120 :rule symm :premises (@p119)) % 0.42/0.83 (step @p121 :rule eq_resolve :premises (@p118 @p120)) % 0.42/0.83 (step @p122 :rule cong :premises (@p121 @p116) :args (@t423)) % 0.42/0.83 (step @p123 :rule refl :args (@t427)) % 0.42/0.83 (step @p124 :rule cong :premises (@p123 @p122) :args (@t428)) % 0.42/0.83 (step @p125 :rule refl :args (@t344)) % 0.42/0.83 (step @p126 :rule cong :premises (@p125 @p124) :args (@t429)) % 0.42/0.83 (step @p127 :rule refl :args (@t432)) % 0.42/0.83 (step @p128 :rule cong :premises (@p127 @p126) :args (@t433)) % 0.42/0.83 (step @p129 :rule refl :args (@t349)) % 0.42/0.83 (step @p130 :rule cong :premises (@p129 @p128) :args (@t434)) % 0.42/0.83 (step @p131 :rule refl :args (@t436)) % 0.42/0.83 (step @p132 :rule cong :premises (@p131 @p130) :args (@t437)) % 0.42/0.83 (step @p133 :rule refl :args (@t345)) % 0.42/0.83 (step @p134 :rule cong :premises (@p133 @p132) :args (@t438)) % 0.42/0.83 (step @p135 :rule refl :args (@t343)) % 0.42/0.83 (step @p136 :rule cong :premises (@p135 @p134) :args (@t439)) % 0.42/0.83 (step @p137 :rule refl :args (@t445)) % 0.42/0.83 (step @p138 :rule cong :premises (@p137 @p136) :args (@t446)) % 0.42/0.83 (step @p139 :rule refl :args (@t339)) % 0.42/0.83 (step @p140 :rule cong :premises (@p139 @p138) :args (@t447)) % 0.42/0.83 (step @p141 :rule refl :args (@t449)) % 0.42/0.83 (step @p142 :rule cong :premises (@p141 @p140) :args (@t450)) % 0.42/0.83 (step @p143 :rule refl :args (@t453)) % 0.42/0.83 (step @p144 :rule cong :premises (@p143 @p142) :args (@t454)) % 0.42/0.83 (step @p145 :rule cong :premises (@p144) :args ((not @t454))) % 0.42/0.83 (step @p146 :rule bool-impl-true2 :args (@t428)) % 0.42/0.83 (step @p147 :rule refl :args (@t314)) % 0.42/0.83 (step @p148 :rule refl :args (@t70)) % 0.42/0.83 (step @p149 :rule cong :premises (@p148 @p147) :args ((= @t70 @t314))) % 0.42/0.83 (step @p150 :rule symm :premises (@p149)) % 0.42/0.83 (step @p151 :rule eq_resolve :premises (@p148 @p150)) % 0.42/0.83 (step @p152 :rule refl :args (@t316)) % 0.42/0.83 (step @p153 :rule cong :premises (@p152 @p151) :args (@t455)) % 0.42/0.83 (step @p154 :rule cong :premises (@p153) :args (@t456)) % 0.42/0.83 (step @p155 :rule cong :premises (@p154) :args (@t457)) % 0.42/0.83 (step @p156 :rule refl :args (@t323)) % 0.42/0.83 (step @p157 :rule nary_cong :premises (@p156 @p155) :args (@t458)) % 0.42/0.83 (step @p158 :rule cong :premises (@p157) :args (@t459)) % 0.42/0.83 (step @p159 :rule refl :args (@t325)) % 0.42/0.83 (step @p160 :rule refl :args (@t326)) % 0.42/0.83 (step @p161 :rule cong :premises (@p160 @p151) :args (@t460)) % 0.42/0.83 (step @p162 :rule cong :premises (@p161 @p159) :args (@t461)) % 0.42/0.83 (step @p163 :rule cong :premises (@p152 @p162) :args (@t462)) % 0.42/0.83 (step @p164 :rule cong :premises (@p163) :args (@t463)) % 0.42/0.83 (step @p165 :rule nary_cong :premises (@p156 @p164) :args (@t464)) % 0.42/0.83 (step @p166 :rule cong :premises (@p165) :args (@t465)) % 0.42/0.83 (step @p167 :rule cong :premises (@p166 @p158) :args (@t466)) % 0.42/0.83 (step @p168 :rule refl :args (@t336)) % 0.42/0.83 (step @p169 :rule cong :premises (@p168 @p167) :args (@t467)) % 0.42/0.83 (step @p170 :rule refl :args (@t105)) % 0.42/0.83 (step @p171 :rule refl :args (@t99)) % 0.42/0.83 (step @p172 :rule refl :args (@t5)) % 0.42/0.83 (step @p173 :rule cong :premises (@p172 @p151) :args (@t468)) % 0.42/0.83 (step @p174 :rule cong :premises (@p173 @p171) :args (@t469)) % 0.42/0.83 (step @p175 :rule refl :args (@t96)) % 0.42/0.83 (step @p176 :rule refl :args (@t2)) % 0.42/0.83 (step @p177 :rule cong :premises (@p176 @p151) :args (@t470)) % 0.42/0.83 (step @p178 :rule cong :premises (@p177 @p175) :args (@t471)) % 0.42/0.83 (step @p179 :rule cong :premises (@p178 @p174) :args (@t472)) % 0.42/0.83 (step @p180 :rule cong :premises (@p179) :args (@t473)) % 0.42/0.83 (step @p181 :rule nary_cong :premises (@p180 @p170) :args (@t474)) % 0.42/0.83 (step @p182 :rule cong :premises (@p181) :args ((forall @t102 @t474))) % 0.42/0.83 (step @p183 :rule refl :args (@t105)) % 0.42/0.83 (step @p184 :rule eq-symm :args (@t469 @t471)) % 0.42/0.83 (step @p185 :rule cong :premises (@p184) :args (@t475)) % 0.42/0.83 (step @p186 :rule nary_cong :premises (@p185 @p183) :args (@t476)) % 0.42/0.83 (step @p187 :rule cong :premises (@p186) :args (@t477)) % 0.42/0.83 (step @p188 :rule trans :premises (@p187 @p182)) % 0.42/0.83 (step @p189 :rule cong :premises (@p188 @p169) :args (@t478)) % 0.42/0.83 (step @p190 :rule refl :args (@t95)) % 0.42/0.83 (step @p191 :rule nary_cong :premises (@p180 @p190) :args (@t479)) % 0.42/0.83 (step @p192 :rule cong :premises (@p191) :args ((forall @t102 @t479))) % 0.42/0.83 (step @p193 :rule refl :args (@t95)) % 0.42/0.83 (step @p194 :rule nary_cong :premises (@p185 @p193) :args (@t480)) % 0.42/0.83 (step @p195 :rule cong :premises (@p194) :args (@t481)) % 0.42/0.83 (step @p196 :rule trans :premises (@p195 @p192)) % 0.42/0.83 (step @p197 :rule cong :premises (@p196 @p189) :args (@t482)) % 0.42/0.83 (step @p198 :rule cong :premises (@p172 @p173) :args (@t483)) % 0.42/0.83 (step @p199 :rule cong :premises (@p198) :args (@t484)) % 0.42/0.83 (step @p200 :rule nary_cong :premises (@p135 @p199) :args (@t485)) % 0.42/0.83 (step @p201 :rule cong :premises (@p200 @p197) :args (@t486)) % 0.42/0.83 (step @p202 :rule refl :args (@t1)) % 0.42/0.83 (step @p203 :rule cong :premises (@p202 @p151) :args (@t487)) % 0.42/0.83 (step @p204 :rule cong :premises (@p202 @p203) :args (@t488)) % 0.42/0.83 (step @p205 :rule cong :premises (@p204) :args (@t489)) % 0.42/0.83 (step @p206 :rule cong :premises (@p151 @p202) :args (@t490)) % 0.42/0.83 (step @p207 :rule cong :premises (@p202 @p206) :args (@t491)) % 0.42/0.83 (step @p208 :rule cong :premises (@p207) :args (@t492)) % 0.42/0.83 (step @p209 :rule nary_cong :premises (@p129 @p208 @p205) :args (@t493)) % 0.42/0.83 (step @p210 :rule cong :premises (@p209 @p201) :args (@t494)) % 0.42/0.83 (step @p211 :rule refl :args (@t351)) % 0.42/0.83 (step @p212 :rule refl :args (@t353)) % 0.42/0.83 (step @p213 :rule cong :premises (@p176 @p151) :args (@t495)) % 0.42/0.83 (step @p214 :rule cong :premises (@p172 @p213) :args (@t496)) % 0.42/0.83 (step @p215 :rule cong :premises (@p214) :args (@t497)) % 0.42/0.83 (step @p216 :rule refl :args (@t355)) % 0.42/0.83 (step @p217 :rule nary_cong :premises (@p216 @p215) :args (@t498)) % 0.42/0.83 (step @p218 :rule cong :premises (@p217) :args (@t499)) % 0.42/0.83 (step @p219 :rule cong :premises (@p218) :args (@t500)) % 0.42/0.83 (step @p220 :rule nary_cong :premises (@p219 @p212) :args (@t501)) % 0.42/0.83 (step @p221 :rule cong :premises (@p220) :args (@t502)) % 0.42/0.83 (step @p222 :rule cong :premises (@p221) :args (@t503)) % 0.42/0.83 (step @p223 :rule refl :args (@t362)) % 0.42/0.83 (step @p224 :rule refl :args (@t366)) % 0.42/0.83 (step @p225 :rule nary_cong :premises (@p224 @p223 @p222 @p211) :args (@t504)) % 0.42/0.83 (step @p226 :rule cong :premises (@p225) :args (@t505)) % 0.42/0.83 (step @p227 :rule cong :premises (@p226 @p210) :args (@t506)) % 0.42/0.83 (step @p228 :rule refl :args (@t370)) % 0.42/0.83 (step @p229 :rule refl :args (@t373)) % 0.42/0.83 (step @p230 :rule nary_cong :premises (@p223 @p222 @p229 @p228) :args (@t507)) % 0.42/0.83 (step @p231 :rule cong :premises (@p230) :args (@t508)) % 0.42/0.83 (step @p232 :rule cong :premises (@p231 @p227) :args (@t509)) % 0.42/0.83 (step @p233 :rule refl :args (@t385)) % 0.42/0.83 (step @p234 :rule cong :premises (@p233 @p232) :args (@t510)) % 0.42/0.83 (step @p235 :rule refl :args (@t391)) % 0.42/0.83 (step @p236 :rule cong :premises (@p235 @p234) :args (@t511)) % 0.42/0.83 (step @p237 :rule refl :args (@t393)) % 0.42/0.83 (step @p238 :rule cong :premises (@p237 @p236) :args (@t512)) % 0.42/0.83 (step @p239 :rule refl :args (@t395)) % 0.42/0.83 (step @p240 :rule cong :premises (@p239 @p238) :args (@t513)) % 0.42/0.83 (step @p241 :rule refl :args (@t397)) % 0.42/0.83 (step @p242 :rule cong :premises (@p241 @p240) :args (@t514)) % 0.42/0.83 (step @p243 :rule refl :args (@t400)) % 0.42/0.83 (step @p244 :rule cong :premises (@p243 @p242) :args (@t515)) % 0.42/0.83 (step @p245 :rule refl :args (@t402)) % 0.42/0.83 (step @p246 :rule cong :premises (@p245 @p244) :args (@t516)) % 0.42/0.83 (step @p247 :rule refl :args (@t406)) % 0.42/0.83 (step @p248 :rule cong :premises (@p247 @p246) :args (@t517)) % 0.42/0.83 (step @p249 :rule refl :args (@t407)) % 0.42/0.83 (step @p250 :rule cong :premises (@p249 @p248) :args (@t518)) % 0.42/0.83 (step @p251 :rule refl :args (@t418)) % 0.42/0.83 (step @p252 :rule cong :premises (@p251 @p250) :args (@t519)) % 0.42/0.83 (step @p253 :rule refl :args (@t420)) % 0.42/0.83 (step @p254 :rule cong :premises (@p253 @p252) :args (@t520)) % 0.42/0.83 (step @p255 :rule refl :args (@t77)) % 0.42/0.83 (step @p256 :rule cong :premises (@p255 @p254) :args (@t521)) % 0.42/0.83 (step @p257 :rule cong :premises (@p123 @p256) :args (@t522)) % 0.42/0.83 (step @p258 :rule eq-refl :args (@t70)) % 0.42/0.83 (step @p259 :rule cong :premises (@p258 @p257) :args (@t523)) % 0.42/0.83 (step @p260 :rule trans :premises (@p259 @p146)) % 0.42/0.83 (step @p261 :rule cong :premises (@p205 @p260) :args (@t524)) % 0.42/0.83 (step @p262 :rule cong :premises (@p127 @p261) :args (@t525)) % 0.42/0.83 (step @p263 :rule cong :premises (@p129 @p262) :args (@t526)) % 0.42/0.83 (step @p264 :rule cong :premises (@p131 @p263) :args (@t527)) % 0.42/0.83 (step @p265 :rule cong :premises (@p208 @p264) :args (@t528)) % 0.42/0.83 (step @p266 :rule cong :premises (@p135 @p265) :args (@t529)) % 0.42/0.83 (step @p267 :rule cong :premises (@p137 @p266) :args (@t530)) % 0.42/0.83 (step @p268 :rule cong :premises (@p199 @p267) :args (@t531)) % 0.42/0.83 (step @p269 :rule cong :premises (@p141 @p268) :args (@t532)) % 0.42/0.83 (step @p270 :rule cong :premises (@p143 @p269) :args (@t533)) % 0.42/0.83 (step @p271 :rule cong :premises (@p270) :args ((not @t533))) % 0.42/0.83 (step @p272 :rule eq-symm :args (@t70 tptp.id)) % 0.42/0.83 (step @p273 :rule refl :args (tptp.axvarshift)) % 0.42/0.83 (step @p274 :rule cong :premises (@p273 @p272) :args (@t71)) % 0.42/0.83 (step @p275 :rule eq_resolve :premises (@p11 @p274)) % 0.42/0.83 (step @p276 :rule equiv_elim2 :premises (@p67)) % 0.42/0.83 (step @p277 :rule resolution :premises (@p276 @p109) :args (true tptp.hoaslamnotvar_gthm)) % 0.42/0.83 (step @p278 :rule not_implies_elim2 :premises (@p277)) % 0.42/0.83 (step @p279 :rule not_implies_elim2 :premises (@p278)) % 0.42/0.83 (step @p280 :rule not_implies_elim2 :premises (@p279)) % 0.42/0.83 (step @p281 :rule not_implies_elim2 :premises (@p280)) % 0.42/0.83 (step @p282 :rule not_implies_elim2 :premises (@p281)) % 0.42/0.83 (step @p283 :rule not_implies_elim2 :premises (@p282)) % 0.42/0.83 (step @p284 :rule not_implies_elim2 :premises (@p283)) % 0.42/0.83 (step @p285 :rule not_implies_elim2 :premises (@p284)) % 0.42/0.83 (step @p286 :rule not_implies_elim2 :premises (@p285)) % 0.42/0.83 (step @p287 :rule not_implies_elim2 :premises (@p286)) % 0.42/0.83 (step @p288 :rule not_implies_elim1 :premises (@p287)) % 0.42/0.83 (step @p289 :rule eq_resolve :premises (@p288 @p275)) % 0.42/0.83 (step @p290 :rule refl :args (@t316)) % 0.42/0.83 (step @p291 :rule cong :premises (@p290 @p289) :args (@t534)) % 0.42/0.83 (step @p292 :rule cong :premises (@p291) :args (@t535)) % 0.42/0.83 (step @p293 :rule cong :premises (@p292) :args (@t536)) % 0.42/0.83 (step @p294 :rule refl :args (@t323)) % 0.42/0.83 (step @p295 :rule nary_cong :premises (@p294 @p293) :args (@t537)) % 0.42/0.83 (step @p296 :rule cong :premises (@p295) :args (@t538)) % 0.42/0.83 (step @p297 :rule refl :args (@t325)) % 0.42/0.83 (step @p298 :rule refl :args (@t326)) % 0.42/0.83 (step @p299 :rule cong :premises (@p298 @p289) :args 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(@t272)) % 0.42/0.84 (step @p1595 :rule refl :args (tptp.hoaslamnotvar_gthm)) % 0.42/0.84 (step @p1596 :rule cong :premises (@p1595 @p1594) :args (@t273)) % 0.42/0.84 (step @p1597 :rule eq_resolve :premises (@p67 @p1596)) % 0.42/0.84 (step @p1598 :rule trans :premises (@p1597 @p377)) % 0.42/0.84 (step @p1599 :rule cong :premises (@p1598) :args (@t301)) % 0.42/0.84 (step @p1600 :rule trans :premises (@p1599 @p271)) % 0.42/0.84 (step @p1601 :rule trans :premises (@p1600 @p145)) % 0.42/0.84 (step @p1602 :rule eq_resolve :premises (@p109 @p1601)) % 0.42/0.84 (step @p1603 :rule not_implies_elim2 :premises (@p1602)) % 0.42/0.84 (step @p1604 :rule not_implies_elim2 :premises (@p1603)) % 0.42/0.84 (step @p1605 :rule not_implies_elim2 :premises (@p1604)) % 0.42/0.84 (step @p1606 :rule not_implies_elim2 :premises (@p1605)) % 0.42/0.84 (step @p1607 :rule not_implies_elim2 :premises (@p1606)) % 0.42/0.84 (step @p1608 :rule not_implies_elim2 :premises (@p1607)) % 0.42/0.84 (step @p1609 :rule not_implies_elim2 :premises (@p1608)) % 0.42/0.84 (step @p1610 :rule not_implies_elim2 :premises (@p1609)) % 0.42/0.84 (step @p1611 :rule not_implies_elim2 :premises (@p1610)) % 0.42/0.84 (step @p1612 :rule not_implies_elim2 :premises (@p1611)) % 0.42/0.84 (step @p1613 :rule not_implies_elim2 :premises (@p1612)) % 0.42/0.84 (step @p1614 :rule not_implies_elim2 :premises (@p1613)) % 0.42/0.84 (step @p1615 :rule not_implies_elim2 :premises (@p1614)) % 0.42/0.84 (step @p1616 :rule not_implies_elim2 :premises (@p1615)) % 0.42/0.84 (step @p1617 :rule not_implies_elim2 :premises (@p1616)) % 0.42/0.84 (step @p1618 :rule not_implies_elim2 :premises (@p1617)) % 0.42/0.84 (step @p1619 :rule not_implies_elim2 :premises (@p1618)) % 0.42/0.84 (step @p1620 :rule not_implies_elim2 :premises (@p1619)) % 0.42/0.84 (step @p1621 :rule not_implies_elim2 :premises (@p1620)) % 0.42/0.84 (step @p1622 :rule not_implies_elim2 :premises (@p1621)) % 0.42/0.84 (step @p1623 :rule not_implies_elim1 :premises (@p1622)) % 0.42/0.84 (step @p1624 :rule not_implies_elim2 :premises (@p1622)) % 0.42/0.84 (step @p1625 :rule not_implies_elim2 :premises (@p1624)) % 0.42/0.84 (step @p1626 :rule not_implies_elim2 :premises (@p1625)) % 0.42/0.84 (step @p1627 :rule not_implies_elim2 :premises (@p1626)) % 0.42/0.84 (step @p1628 :rule not_implies_elim2 :premises (@p1627)) % 0.42/0.84 (step @p1629 :rule not_implies_elim2 :premises (@p1628)) % 0.42/0.84 (step @p1630 :rule not_implies_elim2 :premises (@p1629)) % 0.42/0.84 (step @p1631 :rule not_implies_elim2 :premises (@p1630)) % 0.42/0.84 (step @p1632 :rule not_implies_elim2 :premises (@p1631)) % 0.42/0.84 (step @p1633 :rule not_implies_elim2 :premises (@p1632)) % 0.42/0.84 (step @p1634 :rule not_implies_elim2 :premises (@p1633)) % 0.42/0.84 (step @p1635 :rule skolemize :premises (@p1634)) % 0.42/0.84 (step @p1636 :rule bool-double-not-elim :args (@t787)) % 0.42/0.84 (step @p1637 :rule refl :args (@t789)) % 0.42/0.84 (step @p1638 :rule nary_cong :premises (@p1637 @p1636) :args ((or @t789 (not @t788)))) % 0.42/0.84 (step @p1639 :rule cnf_or_neg :args (@t789 1)) % 0.42/0.84 (step @p1640 :rule eq_resolve :premises (@p1639 @p1638)) % 0.42/0.84 (step @p1641 :rule reordering :premises (@p1640) :args ((or @t787 @t789))) % 0.42/0.84 (step @p1642 :rule chain_m_resolution :premises (@p1641 @p1635) :args (@t787 (@list true) (@list @t789))) % 0.42/0.84 (step @p1643 :rule true_intro :premises (@p1642)) % 0.42/0.84 (step @p1644 :rule not_implies_elim1 :premises (@p1604)) % 0.42/0.84 (step @p1645 :rule instantiate :premises (@p1644) :args ((@list @t786))) % 0.42/0.84 (step @p1646 :rule cong :premises (@p1645) :args (@t790)) % 0.42/0.84 (step @p1647 :rule trans :premises (@p1646 @p1643)) % 0.42/0.84 (step @p1648 :rule true_elim :premises (@p1647)) % 0.42/0.84 (assume-push @p1655 @t393) % 0.42/0.84 (step @p1650 :rule instantiate :premises (@p1623) :args ((@list @t785))) % 0.42/0.84 (step-pop @p1656 :rule scope :premises (@p1650)) % 0.42/0.84 (step @p1651 :rule process_scope :premises (@p1656) :args ((not @t790))) % 0.42/0.84 (step @p1653 :rule implies_elim :premises (@p1651)) % 0.42/0.84 (step @p1654 false :rule chain_m_resolution :premises (@p1653 @p1648 @p1623) :args (false (@list false false) (@list @t790 @t393))) % 0.42/0.84 ) % 0.42/0.84 % SZS output end Proof % 0.42/0.84 % cvc5 exiting %------------------------------------------------------------------------------