%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG263^3 : 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 : n007.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 08:05:41 AM UTC 2026 % Result : Theorem 0.41s 0.85s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG263^3 : TPTP v9.2.1. Bugfixed v5.2.0. % 0.13/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n007.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Wed Jun 3 01:55:42 EDT 2026 % 0.17/0.35 % CPUTime : % 0.38/0.57 %----Proving TH0 % 0.41/0.85 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.41/0.85 % SZS status Theorem % 0.41/0.85 % SZS output start Proof % 0.41/0.85 ( % 0.41/0.85 (declare-sort tptp.term 0) % 0.41/0.85 (declare-sort tptp.subst 0) % 0.41/0.85 (declare-const tptp.push (-> tptp.term tptp.subst tptp.subst)) % 0.41/0.85 (declare-const tptp.sub (-> tptp.term tptp.subst tptp.term)) % 0.41/0.85 (declare-const tptp.ap (-> tptp.term tptp.term tptp.term)) % 0.41/0.85 (declare-const tptp.one tptp.term) % 0.41/0.85 (declare-const tptp.sh tptp.subst) % 0.41/0.85 (declare-const tptp.lam (-> tptp.term tptp.term)) % 0.41/0.85 (declare-const tptp.var (-> tptp.term Bool)) % 0.41/0.85 (declare-const tptp.id tptp.subst) % 0.41/0.85 (declare-const tptp.hoasinduction_no_psi_cond_lthm Bool) % 0.41/0.85 (declare-const tptp.hoasinduction_no_psi_cond Bool) % 0.41/0.85 (declare-const tptp.hoasinduction_lthm_3 Bool) % 0.41/0.85 (declare-const tptp.hoasinduction_lthm Bool) % 0.41/0.85 (declare-const tptp.hoasinduction_gthm Bool) % 0.41/0.85 (declare-const tptp.hoasinduction Bool) % 0.41/0.85 (declare-const tptp.hoasinduction_lem3b_lthm Bool) % 0.41/0.85 (declare-const tptp.hoasinduction_lem3b_gthm Bool) % 0.41/0.85 (declare-const tptp.hoasinduction_lem3b Bool) % 0.41/0.85 (declare-const tptp.hoasinduction_lem3a_lthm Bool) % 0.41/0.85 (declare-const tptp.hoasinduction_lem3a_gthm Bool) % 0.41/0.85 (declare-const tptp.hoasinduction_lem3a Bool) % 0.41/0.85 (declare-const tptp.hoasinduction_lem3_lthm Bool) % 0.41/0.85 (declare-const tptp.hoasinduction_lem3_gthm Bool) % 0.41/0.85 (declare-const tptp.hoasinduction_lem3 Bool) % 0.41/0.85 (declare-const tptp.hoasinduction_lem3aaa Bool) % 0.41/0.85 (declare-const tptp.hoasinduction_lem3aa_lthm Bool) % 0.41/0.85 (declare-const tptp.hoasinduction_lem3aa Bool) % 0.41/0.85 (declare-const tptp.hoasinduction_lem2_lthm Bool) % 0.41/0.85 (declare-const tptp.hoasinduction_lem2_gthm Bool) % 0.41/0.85 (declare-const tptp.hoasinduction_lem2 Bool) % 0.41/0.85 (declare-const tptp.hoasinduction_lem1_lthm Bool) % 0.41/0.85 (declare-const tptp.hoasinduction_lem1_gthm Bool) % 0.41/0.85 (declare-const tptp.hoasinduction_lem1 Bool) % 0.41/0.85 (declare-const tptp.hoasinduction_lem3v2a_lthm Bool) % 0.41/0.85 (declare-const tptp.hoasinduction_lem3v2a Bool) % 0.41/0.85 (declare-const tptp.hoasinduction_lem3v2_lthm Bool) % 0.41/0.85 (declare-const tptp.hoasinduction_lem3v2_gthm Bool) % 0.41/0.85 (declare-const tptp.hoasinduction_lem3v2 Bool) % 0.41/0.85 (declare-const tptp.hoasinduction_lem3v2_f_lthm Bool) % 0.41/0.85 (declare-const tptp.hoasinduction_lem3v2_f Bool) % 0.41/0.85 (declare-const tptp.hoasinduction_lem2v2_gthm Bool) % 0.41/0.85 (declare-const tptp.hoasinduction_lem2v2 Bool) % 0.41/0.85 (declare-const tptp.hoasinduction_lem1v2_gthm Bool) % 0.41/0.85 (declare-const tptp.hoasinduction_lem1v2 Bool) % 0.41/0.85 (declare-const tptp.hoasinduction_lem0_lthm Bool) % 0.41/0.85 (declare-const tptp.hoasinduction_lem0 Bool) % 0.41/0.85 (declare-const tptp.hoasapnotvar_lthm Bool) % 0.41/0.85 (declare-const tptp.hoasapnotvar_gthm Bool) % 0.41/0.85 (declare-const tptp.hoasapnotvar Bool) % 0.41/0.85 (declare-const tptp.hoaslamnotvar_lthm Bool) % 0.41/0.85 (declare-const tptp.hoaslamnotvar_gthm Bool) % 0.41/0.85 (declare-const tptp.hoaslamnotvar Bool) % 0.41/0.85 (declare-const tptp.hoaslamnotap_lthm Bool) % 0.41/0.85 (declare-const tptp.hoaslamnotap_gthm Bool) % 0.41/0.85 (declare-const tptp.hoaslamnotap Bool) % 0.41/0.85 (declare-const tptp.hoaslaminj_lthm Bool) % 0.41/0.85 (declare-const tptp.hoaslaminj_gthm Bool) % 0.41/0.85 (declare-const tptp.hoaslaminj Bool) % 0.41/0.85 (declare-const tptp.hoasapinj2_lthm Bool) % 0.41/0.85 (declare-const tptp.hoasapinj2_gthm Bool) % 0.41/0.85 (declare-const tptp.hoasapinj2 Bool) % 0.41/0.85 (declare-const tptp.pushprop_lem0_lthm Bool) % 0.41/0.85 (declare-const tptp.axassoc Bool) % 0.41/0.85 (declare-const tptp.pushprop_lem0_gthm Bool) % 0.41/0.85 (declare-const tptp.axvarcons Bool) % 0.41/0.85 (declare-const tptp.pushprop_lem0 Bool) % 0.41/0.85 (declare-const tptp.apinj1 Bool) % 0.41/0.85 (declare-const tptp.induction Bool) % 0.41/0.85 (declare-const tptp.apnotvar Bool) % 0.41/0.85 (declare-const tptp.laminj Bool) % 0.41/0.85 (declare-const tptp.axvarshift Bool) % 0.41/0.85 (declare-const tptp.ulamvarind Bool) % 0.41/0.85 (declare-const tptp.pushprop_lem2v2_lthm Bool) % 0.41/0.85 (declare-const tptp.ulamvarsh Bool) % 0.41/0.85 (declare-const tptp.ulamvar1 Bool) % 0.41/0.85 (declare-const tptp.axabs Bool) % 0.41/0.85 (declare-const tptp.pushprop_lem1 Bool) % 0.41/0.85 (declare-const tptp.shinj Bool) % 0.41/0.85 (declare-const tptp.comp (-> tptp.subst tptp.subst tptp.subst)) % 0.41/0.85 (declare-const tptp.apinj2 Bool) % 0.41/0.85 (declare-const tptp.axvarid Bool) % 0.41/0.85 (declare-const tptp.axidl Bool) % 0.41/0.85 (declare-const tptp.axclos Bool) % 0.41/0.85 (declare-const tptp.termmset Bool) % 0.41/0.85 (declare-const tptp.axshiftcons Bool) % 0.41/0.85 (declare-const tptp.lamnotap Bool) % 0.41/0.85 (declare-const tptp.lamnotvar Bool) % 0.41/0.85 (declare-const tptp.axapp Bool) % 0.41/0.85 (declare-const tptp.axscons Bool) % 0.41/0.85 (declare-const tptp.axmap Bool) % 0.41/0.85 (declare-const tptp.axidr Bool) % 0.41/0.85 (declare-const tptp.induction2lem Bool) % 0.41/0.85 (declare-const tptp.pushprop_lem1_gthm Bool) % 0.41/0.85 (declare-const tptp.hoasapinj1_lthm Bool) % 0.41/0.85 (declare-const tptp.pushprop_lem1_lthm Bool) % 0.41/0.85 (declare-const tptp.pushprop_lem1v2 Bool) % 0.41/0.85 (declare-const tptp.pushprop_lem1v2_gthm Bool) % 0.41/0.85 (declare-const tptp.induction2 Bool) % 0.41/0.85 (declare-const tptp.pushprop_lem1v2_lthm Bool) % 0.41/0.85 (declare-const tptp.pushprop_lem2v2 Bool) % 0.41/0.85 (declare-const tptp.pushprop_lem2v2_gthm Bool) % 0.41/0.85 (declare-const tptp.pushprop_lem3v2 Bool) % 0.41/0.85 (declare-const tptp.pushprop_lem3v2_lthm Bool) % 0.41/0.85 (declare-const tptp.pushprop Bool) % 0.41/0.85 (declare-const tptp.pushprop_gthm Bool) % 0.41/0.85 (declare-const tptp.hoasapinj1 Bool) % 0.41/0.85 (declare-const tptp.pushprop_lthm_orig Bool) % 0.41/0.85 (declare-const tptp.pushprop_lthm Bool) % 0.41/0.85 (declare-const tptp.induction2lem_gthm Bool) % 0.41/0.85 (declare-const tptp.induction2lem_lthm Bool) % 0.41/0.85 (declare-const tptp.induction2_gthm Bool) % 0.41/0.85 (declare-const tptp.induction2_lthm Bool) % 0.41/0.85 (declare-const tptp.substmonoid Bool) % 0.41/0.85 (declare-const tptp.substmonoid_gthm Bool) % 0.41/0.85 (declare-const tptp.termmset_gthm Bool) % 0.41/0.85 (declare-const tptp.substmonoid_lthm Bool) % 0.41/0.85 (declare-const tptp.termmset_lthm Bool) % 0.41/0.85 (declare-const tptp.hoasapinj1_gthm Bool) % 0.41/0.85 (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)))))))))))) % 0.41/0.85 (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)))))) % 0.41/0.85 (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))))) % 0.41/0.85 (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)))))) % 0.41/0.85 (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)))))))) % 0.41/0.85 (define @t1 () (@var "M" tptp.subst)) % 0.41/0.85 (define @t2 () (@var "B" tptp.term)) % 0.41/0.85 (define @t3 () (_ tptp.sub @t2)) % 0.41/0.85 (define @t4 () (_ @t3 @t1)) % 0.41/0.85 (define @t5 () (@var "A" tptp.term)) % 0.41/0.85 (define @t6 () (_ tptp.sub @t5)) % 0.41/0.85 (define @t7 () (_ @t6 @t1)) % 0.41/0.85 (define @t8 () (_ (_ tptp.ap @t7) @t4)) % 0.41/0.85 (define @t9 () (_ tptp.ap @t5)) % 0.41/0.85 (define @t10 () (_ @t9 @t2)) % 0.41/0.85 (define @t11 () (_ (_ tptp.sub @t10) @t1)) % 0.41/0.85 (define @t12 () (= @t11 @t8)) % 0.41/0.85 (define @t13 () (@list @t5 @t2 @t1)) % 0.41/0.85 (define @t14 () (forall @t13 @t12)) % 0.41/0.85 (define @t15 () (= tptp.axapp @t14)) % 0.41/0.85 (define @t16 () (_ (_ tptp.push @t5) @t1)) % 0.41/0.85 (define @t17 () (_ tptp.sub tptp.one)) % 0.41/0.85 (define @t18 () (_ @t17 @t16)) % 0.41/0.85 (define @t19 () (@list @t5 @t1)) % 0.41/0.85 (define @t20 () (forall @t19 (= @t18 @t5))) % 0.41/0.85 (define @t21 () (= tptp.axvarcons @t20)) % 0.41/0.85 (define @t22 () (_ @t6 tptp.id)) % 0.41/0.85 (define @t23 () (@list @t5)) % 0.41/0.85 (define @t24 () (forall @t23 (= @t22 @t5))) % 0.41/0.85 (define @t25 () (= tptp.axvarid @t24)) % 0.41/0.85 (define @t26 () (_ tptp.comp @t1)) % 0.41/0.85 (define @t27 () (_ @t26 tptp.sh)) % 0.41/0.85 (define @t28 () (_ tptp.push tptp.one)) % 0.41/0.85 (define @t29 () (_ @t28 @t27)) % 0.41/0.85 (define @t30 () (_ @t6 @t29)) % 0.41/0.85 (define @t31 () (_ tptp.lam @t30)) % 0.41/0.85 (define @t32 () (_ tptp.lam @t5)) % 0.41/0.85 (define @t33 () (_ (_ tptp.sub @t32) @t1)) % 0.41/0.85 (define @t34 () (= @t33 @t31)) % 0.41/0.85 (define @t35 () (forall @t19 @t34)) % 0.41/0.85 (define @t36 () (= tptp.axabs @t35)) % 0.41/0.85 (define @t37 () (@var "N" tptp.subst)) % 0.41/0.85 (define @t38 () (_ @t26 @t37)) % 0.41/0.85 (define @t39 () (_ @t6 @t38)) % 0.41/0.85 (define @t40 () (_ (_ tptp.sub @t7) @t37)) % 0.41/0.85 (define @t41 () (= @t40 @t39)) % 0.41/0.85 (define @t42 () (@list @t5 @t1 @t37)) % 0.41/0.85 (define @t43 () (forall @t42 @t41)) % 0.41/0.85 (define @t44 () (= tptp.axclos @t43)) % 0.41/0.85 (define @t45 () (_ (_ tptp.comp tptp.id) @t1)) % 0.41/0.85 (define @t46 () (@list @t1)) % 0.41/0.85 (define @t47 () (forall @t46 (= @t45 @t1))) % 0.41/0.85 (define @t48 () (= tptp.axidl @t47)) % 0.41/0.85 (define @t49 () (_ tptp.comp tptp.sh)) % 0.41/0.85 (define @t50 () (_ @t49 @t16)) % 0.41/0.85 (define @t51 () (forall @t19 (= @t50 @t1))) % 0.41/0.85 (define @t52 () (= tptp.axshiftcons @t51)) % 0.41/0.85 (define @t53 () (@var "K" tptp.subst)) % 0.41/0.85 (define @t54 () (_ (_ tptp.comp @t37) @t53)) % 0.41/0.85 (define @t55 () (_ @t26 @t54)) % 0.41/0.85 (define @t56 () (_ (_ tptp.comp @t38) @t53)) % 0.41/0.85 (define @t57 () (= @t56 @t55)) % 0.41/0.85 (define @t58 () (@list @t1 @t37 @t53)) % 0.41/0.85 (define @t59 () (forall @t58 @t57)) % 0.41/0.85 (define @t60 () (= tptp.axassoc @t59)) % 0.41/0.85 (define @t61 () (_ @t6 @t37)) % 0.41/0.85 (define @t62 () (_ (_ tptp.push @t61) @t38)) % 0.41/0.85 (define @t63 () (_ (_ tptp.comp @t16) @t37)) % 0.41/0.85 (define @t64 () (= @t63 @t62)) % 0.41/0.85 (define @t65 () (forall @t42 @t64)) % 0.41/0.85 (define @t66 () (= tptp.axmap @t65)) % 0.41/0.85 (define @t67 () (_ @t26 tptp.id)) % 0.41/0.85 (define @t68 () (forall @t46 (= @t67 @t1))) % 0.41/0.85 (define @t69 () (= tptp.axidr @t68)) % 0.41/0.85 (define @t70 () (_ @t28 tptp.sh)) % 0.41/0.85 (define @t71 () (= tptp.axvarshift (= @t70 tptp.id))) % 0.41/0.85 (define @t72 () (_ @t49 @t1)) % 0.41/0.85 (define @t73 () (_ @t17 @t1)) % 0.41/0.85 (define @t74 () (_ (_ tptp.push @t73) @t72)) % 0.41/0.85 (define @t75 () (forall @t46 (= @t74 @t1))) % 0.41/0.85 (define @t76 () (= tptp.axscons @t75)) % 0.41/0.85 (define @t77 () (_ tptp.var tptp.one)) % 0.41/0.85 (define @t78 () (_ @t6 tptp.sh)) % 0.41/0.85 (define @t79 () (_ tptp.var @t78)) % 0.41/0.85 (define @t80 () (_ tptp.var @t5)) % 0.41/0.85 (define @t81 () (forall @t23 (=> @t80 @t79))) % 0.41/0.85 (define @t82 () (= tptp.ulamvarsh @t81)) % 0.41/0.85 (define @t83 () (@var "P" (-> tptp.term Bool))) % 0.41/0.85 (define @t84 () (_ @t83 @t5)) % 0.41/0.85 (define @t85 () (forall @t23 (=> @t80 @t84))) % 0.41/0.85 (define @t86 () (_ @t83 @t78)) % 0.41/0.85 (define @t87 () (=> @t84 @t86)) % 0.41/0.85 (define @t88 () (forall @t23 (=> @t80 @t87))) % 0.41/0.85 (define @t89 () (=> @t88 @t85)) % 0.41/0.85 (define @t90 () (_ @t83 tptp.one)) % 0.41/0.85 (define @t91 () (=> @t90 @t89)) % 0.41/0.85 (define @t92 () (@list @t83)) % 0.41/0.85 (define @t93 () (forall @t92 @t91)) % 0.41/0.85 (define @t94 () (= tptp.ulamvarind @t93)) % 0.41/0.85 (define @t95 () (= @t5 @t2)) % 0.41/0.85 (define @t96 () (@var "D" tptp.term)) % 0.41/0.85 (define @t97 () (_ tptp.ap @t2)) % 0.41/0.85 (define @t98 () (_ @t97 @t96)) % 0.41/0.85 (define @t99 () (@var "C" tptp.term)) % 0.41/0.85 (define @t100 () (_ @t9 @t99)) % 0.41/0.85 (define @t101 () (= @t100 @t98)) % 0.41/0.85 (define @t102 () (@list @t5 @t2 @t99 @t96)) % 0.41/0.85 (define @t103 () (forall @t102 (=> @t101 @t95))) % 0.41/0.85 (define @t104 () (= tptp.apinj1 @t103)) % 0.41/0.85 (define @t105 () (= @t99 @t96)) % 0.41/0.85 (define @t106 () (forall @t102 (=> @t101 @t105))) % 0.41/0.85 (define @t107 () (= tptp.apinj2 @t106)) % 0.41/0.85 (define @t108 () (_ tptp.lam @t2)) % 0.41/0.85 (define @t109 () (= @t32 @t108)) % 0.41/0.85 (define @t110 () (@list @t5 @t2)) % 0.41/0.85 (define @t111 () (forall @t110 (=> @t109 @t95))) % 0.41/0.85 (define @t112 () (= tptp.laminj @t111)) % 0.41/0.85 (define @t113 () (_ @t3 tptp.sh)) % 0.41/0.85 (define @t114 () (= @t78 @t113)) % 0.41/0.85 (define @t115 () (forall @t110 (=> @t114 @t95))) % 0.41/0.85 (define @t116 () (= tptp.shinj @t115)) % 0.41/0.85 (define @t117 () (_ @t97 @t99)) % 0.41/0.85 (define @t118 () (= @t32 @t117)) % 0.41/0.85 (define @t119 () (not @t118)) % 0.41/0.85 (define @t120 () (@list @t5 @t2 @t99)) % 0.41/0.85 (define @t121 () (forall @t120 @t119)) % 0.41/0.85 (define @t122 () (= tptp.lamnotap @t121)) % 0.41/0.85 (define @t123 () (_ tptp.var @t10)) % 0.41/0.85 (define @t124 () (not @t123)) % 0.41/0.85 (define @t125 () (forall @t110 @t124)) % 0.41/0.85 (define @t126 () (= tptp.apnotvar @t125)) % 0.41/0.85 (define @t127 () (_ tptp.var @t32)) % 0.41/0.85 (define @t128 () (not @t127)) % 0.41/0.85 (define @t129 () (forall @t23 @t128)) % 0.41/0.85 (define @t130 () (= tptp.lamnotvar @t129)) % 0.41/0.85 (define @t131 () (forall @t23 @t84)) % 0.41/0.85 (define @t132 () (_ @t83 @t32)) % 0.41/0.85 (define @t133 () (forall @t23 (=> @t84 @t132))) % 0.41/0.85 (define @t134 () (=> @t133 @t131)) % 0.41/0.85 (define @t135 () (_ @t83 @t10)) % 0.41/0.85 (define @t136 () (_ @t83 @t2)) % 0.41/0.85 (define @t137 () (=> @t136 @t135)) % 0.41/0.85 (define @t138 () (forall @t110 (=> @t84 @t137))) % 0.41/0.85 (define @t139 () (=> @t138 @t134)) % 0.41/0.85 (define @t140 () (=> @t85 @t139)) % 0.41/0.85 (define @t141 () (forall @t92 @t140)) % 0.41/0.85 (define @t142 () (= tptp.induction @t141)) % 0.41/0.85 (define @t143 () (@var "Q" (-> tptp.term Bool))) % 0.41/0.85 (define @t144 () (_ (_ (_ (_ tptp.pushprop_p_and_p_prime @t5) @t1) @t83) @t143)) % 0.41/0.85 (define @t145 () (@list @t143)) % 0.41/0.85 (define @t146 () (@list @t83 @t5 @t1)) % 0.41/0.85 (define @t147 () (_ tptp.push @t2)) % 0.41/0.85 (define @t148 () (@var "K" (-> tptp.term Bool))) % 0.41/0.85 (define @t149 () (@list @t83 @t143 @t5 @t1)) % 0.41/0.85 (define @t150 () (_ tptp.sub @t99)) % 0.41/0.85 (define @t151 () (@list @t99)) % 0.41/0.85 (define @t152 () (_ @t83 @t4)) % 0.41/0.85 (define @t153 () (_ tptp.var @t2)) % 0.41/0.85 (define @t154 () (@list @t2)) % 0.41/0.85 (define @t155 () (forall @t154 (=> @t153 @t152))) % 0.41/0.85 (define @t156 () (_ @t3 @t16)) % 0.41/0.85 (define @t157 () (_ @t83 @t156)) % 0.41/0.85 (define @t158 () (forall @t154 (=> @t153 @t157))) % 0.41/0.85 (define @t159 () (_ @t143 @t2)) % 0.41/0.85 (define @t160 () (=> @t84 @t158)) % 0.41/0.85 (define @t161 () (=> @t155 @t160)) % 0.41/0.85 (define @t162 () (forall @t146 @t161)) % 0.41/0.85 (define @t163 () (= tptp.pushprop @t162)) % 0.41/0.85 (define @t164 () (=> tptp.ulamvar1 (=> tptp.axvarcons (=> tptp.axclos (=> tptp.axshiftcons (=> tptp.ulamvarind tptp.pushprop)))))) % 0.41/0.85 (define @t165 () (_ @t83 @t7)) % 0.41/0.85 (define @t166 () (=> @t155 @t165)) % 0.41/0.85 (define @t167 () (forall @t19 @t166)) % 0.41/0.85 (define @t168 () (_ @t147 tptp.id)) % 0.41/0.85 (define @t169 () (_ @t6 @t168)) % 0.41/0.85 (define @t170 () (_ @t83 @t169)) % 0.41/0.85 (define @t171 () (forall @t154 (=> @t136 @t170))) % 0.41/0.85 (define @t172 () (=> @t171 @t132)) % 0.41/0.85 (define @t173 () (forall @t23 @t172)) % 0.41/0.85 (define @t174 () (=> @t173 @t167)) % 0.41/0.85 (define @t175 () (=> @t138 @t174)) % 0.41/0.85 (define @t176 () (forall @t92 @t175)) % 0.41/0.85 (define @t177 () (= tptp.induction2lem @t176)) % 0.41/0.85 (define @t178 () (=> tptp.induction (=> tptp.pushprop tptp.induction2lem))) % 0.41/0.85 (define @t179 () (=> @t173 @t131)) % 0.41/0.85 (define @t180 () (=> @t138 @t179)) % 0.41/0.85 (define @t181 () (=> @t85 @t180)) % 0.41/0.85 (define @t182 () (forall @t92 @t181)) % 0.41/0.85 (define @t183 () (= tptp.induction2 @t182)) % 0.41/0.85 (define @t184 () (=> tptp.induction2lem tptp.induction2)) % 0.41/0.85 (define @t185 () (and @t59 @t47 @t68)) % 0.41/0.85 (define @t186 () (= tptp.substmonoid @t185)) % 0.41/0.85 (define @t187 () (and @t43 @t24)) % 0.41/0.85 (define @t188 () (= tptp.termmset @t187)) % 0.41/0.85 (define @t189 () (_ tptp.hoasap tptp.id)) % 0.41/0.85 (define @t190 () (_ (_ @t189 @t5) tptp.id)) % 0.41/0.85 (define @t191 () (= (_ @t190 @t99) (_ (_ (_ @t189 @t2) tptp.id) @t96))) % 0.41/0.85 (define @t192 () (=> @t191 @t95)) % 0.41/0.85 (define @t193 () (forall @t102 @t192)) % 0.41/0.85 (define @t194 () (= tptp.hoasapinj1 @t193)) % 0.41/0.85 (define @t195 () (=> @t191 @t105)) % 0.41/0.85 (define @t196 () (forall @t102 @t195)) % 0.41/0.85 (define @t197 () (= tptp.hoasapinj2 @t196)) % 0.41/0.85 (define @t198 () (@var "G" (-> tptp.subst tptp.term tptp.term))) % 0.41/0.85 (define @t199 () (_ (_ @t198 @t1) @t5)) % 0.41/0.85 (define @t200 () (@var "F" (-> tptp.subst tptp.term tptp.term))) % 0.41/0.85 (define @t201 () (_ @t200 @t1)) % 0.41/0.85 (define @t202 () (_ @t201 @t5)) % 0.41/0.85 (define @t203 () (= @t202 @t199)) % 0.41/0.85 (define @t204 () (@list @t1 @t5)) % 0.41/0.85 (define @t205 () (forall @t204 @t203)) % 0.41/0.85 (define @t206 () (lambda @t204 @t199)) % 0.41/0.85 (define @t207 () (_ tptp.hoaslam tptp.id)) % 0.41/0.85 (define @t208 () (lambda @t204 @t202)) % 0.41/0.85 (define @t209 () (_ @t207 @t208)) % 0.41/0.85 (define @t210 () (= @t209 (_ @t207 @t206))) % 0.41/0.85 (define @t211 () (=> @t210 @t205)) % 0.41/0.85 (define @t212 () (_ (_ @t198 @t38) @t61)) % 0.41/0.85 (define @t213 () (_ (_ tptp.sub @t199) @t37)) % 0.41/0.85 (define @t214 () (= @t213 @t212)) % 0.41/0.85 (define @t215 () (@list @t1 @t5 @t37)) % 0.41/0.85 (define @t216 () (forall @t215 @t214)) % 0.41/0.85 (define @t217 () (=> @t216 @t211)) % 0.41/0.85 (define @t218 () (@list @t198)) % 0.41/0.85 (define @t219 () (forall @t218 @t217)) % 0.41/0.85 (define @t220 () (_ (_ @t200 @t38) @t61)) % 0.41/0.85 (define @t221 () (_ (_ tptp.sub @t202) @t37)) % 0.41/0.85 (define @t222 () (= @t221 @t220)) % 0.41/0.85 (define @t223 () (forall @t215 @t222)) % 0.41/0.85 (define @t224 () (=> @t223 @t219)) % 0.41/0.85 (define @t225 () (@list @t200)) % 0.41/0.85 (define @t226 () (forall @t225 @t224)) % 0.41/0.85 (define @t227 () (= tptp.hoaslaminj @t226)) % 0.41/0.85 (define @t228 () (_ @t190 @t2)) % 0.41/0.85 (define @t229 () (lambda (@list @t1 @t99) (_ @t201 @t99))) % 0.41/0.85 (define @t230 () (= (_ @t207 @t229) @t228)) % 0.41/0.85 (define @t231 () (not @t230)) % 0.41/0.85 (define @t232 () (forall @t110 @t231)) % 0.41/0.85 (define @t233 () (=> @t223 @t232)) % 0.41/0.85 (define @t234 () (forall @t225 @t233)) % 0.41/0.85 (define @t235 () (= tptp.hoaslamnotap @t234)) % 0.41/0.85 (define @t236 () (_ tptp.hoasvar tptp.id)) % 0.41/0.85 (define @t237 () (not (_ (_ @t236 @t209) tptp.id))) % 0.41/0.85 (define @t238 () (=> @t223 @t237)) % 0.41/0.85 (define @t239 () (forall @t225 @t238)) % 0.41/0.85 (define @t240 () (= tptp.hoaslamnotvar @t239)) % 0.41/0.85 (define @t241 () (not (_ (_ @t236 @t228) tptp.id))) % 0.41/0.85 (define @t242 () (forall @t110 @t241)) % 0.41/0.85 (define @t243 () (= tptp.hoasapnotvar @t242)) % 0.41/0.85 (define @t244 () (@var "P" (-> tptp.subst tptp.term tptp.subst Bool))) % 0.41/0.85 (define @t245 () (_ (_ tptp.hoasinduction_p_and_p_prime @t244) @t143)) % 0.41/0.85 (define @t246 () (@list @t244)) % 0.41/0.85 (define @t247 () (_ @t143 @t5)) % 0.41/0.85 (define @t248 () (forall @t23 (=> @t80 @t247))) % 0.41/0.85 (define @t249 () (=> @t245 @t248)) % 0.41/0.85 (define @t250 () (_ @t244 tptp.id)) % 0.41/0.85 (define @t251 () (_ (_ @t250 @t5) tptp.id)) % 0.41/0.85 (define @t252 () (=> (_ (_ @t236 @t5) tptp.id) @t251)) % 0.41/0.85 (define @t253 () (forall @t23 @t252)) % 0.41/0.85 (define @t254 () (=> @t253 @t249)) % 0.41/0.85 (define @t255 () (_ (_ tptp.comp @t53) @t37)) % 0.41/0.85 (define @t256 () (_ (_ @t244 @t1) @t5)) % 0.41/0.85 (define @t257 () (_ @t256 @t255)) % 0.41/0.85 (define @t258 () (_ @t6 @t53)) % 0.41/0.85 (define @t259 () (_ @t26 @t53)) % 0.41/0.85 (define @t260 () (_ (_ (_ @t244 @t259) @t258) @t37)) % 0.41/0.85 (define @t261 () (@list @t1 @t5 @t37 @t53)) % 0.41/0.85 (define @t262 () (forall @t261 (=> @t260 @t257))) % 0.41/0.85 (define @t263 () (=> @t262 @t254)) % 0.41/0.85 (define @t264 () (forall @t261 (=> @t257 @t260))) % 0.41/0.85 (define @t265 () (=> @t264 @t263)) % 0.41/0.85 (define @t266 () (@list @t244 @t143)) % 0.41/0.85 (define @t267 () (forall @t266 @t265)) % 0.41/0.85 (define @t268 () (= tptp.hoasinduction_lem1v2 @t267)) % 0.41/0.85 (define @t269 () (=> tptp.hoasapnotvar tptp.hoasinduction_lem1v2)) % 0.41/0.85 (define @t270 () (=> tptp.hoaslamnotvar @t269)) % 0.41/0.85 (define @t271 () (=> tptp.hoaslamnotap @t270)) % 0.41/0.85 (define @t272 () (=> tptp.hoaslaminj @t271)) % 0.41/0.85 (define @t273 () (=> tptp.hoasapinj2 @t272)) % 0.41/0.85 (define @t274 () (=> tptp.hoasapinj1 @t273)) % 0.41/0.85 (define @t275 () (=> tptp.termmset @t274)) % 0.41/0.85 (define @t276 () (=> tptp.substmonoid @t275)) % 0.41/0.85 (define @t277 () (=> tptp.induction2 @t276)) % 0.41/0.85 (define @t278 () (=> tptp.induction2lem @t277)) % 0.41/0.85 (define @t279 () (=> tptp.pushprop @t278)) % 0.41/0.85 (define @t280 () (=> tptp.induction @t279)) % 0.41/0.85 (define @t281 () (=> tptp.lamnotvar @t280)) % 0.41/0.85 (define @t282 () (=> tptp.apnotvar @t281)) % 0.41/0.85 (define @t283 () (=> tptp.lamnotap @t282)) % 0.41/0.85 (define @t284 () (=> tptp.shinj @t283)) % 0.41/0.85 (define @t285 () (=> tptp.laminj @t284)) % 0.41/0.85 (define @t286 () (=> tptp.apinj2 @t285)) % 0.41/0.85 (define @t287 () (=> tptp.apinj1 @t286)) % 0.41/0.85 (define @t288 () (=> tptp.ulamvarind @t287)) % 0.41/0.85 (define @t289 () (=> tptp.ulamvarsh @t288)) % 0.41/0.85 (define @t290 () (=> tptp.ulamvar1 @t289)) % 0.41/0.85 (define @t291 () (=> tptp.axscons @t290)) % 0.41/0.85 (define @t292 () (=> tptp.axvarshift @t291)) % 0.41/0.85 (define @t293 () (=> tptp.axidr @t292)) % 0.41/0.85 (define @t294 () (=> tptp.axmap @t293)) % 0.41/0.85 (define @t295 () (=> tptp.axassoc @t294)) % 0.41/0.85 (define @t296 () (=> tptp.axshiftcons @t295)) % 0.41/0.85 (define @t297 () (=> tptp.axidl @t296)) % 0.41/0.85 (define @t298 () (=> tptp.axclos @t297)) % 0.41/0.85 (define @t299 () (=> tptp.axabs @t298)) % 0.41/0.85 (define @t300 () (=> tptp.axvarid @t299)) % 0.41/0.85 (define @t301 () (=> tptp.axvarcons @t300)) % 0.41/0.85 (define @t302 () (=> tptp.axapp @t301)) % 0.41/0.85 (define @t303 () (= tptp.hoasinduction_lem1v2_gthm @t302)) % 0.41/0.85 (define @t304 () (_ (_ @t250 @t2) tptp.id)) % 0.41/0.85 (define @t305 () (forall @t110 (=> @t251 (=> @t304 (_ (_ @t250 @t228) tptp.id))))) % 0.41/0.85 (define @t306 () (=> (forall @t23 (=> @t251 (_ (_ @t250 (_ (_ @t200 tptp.id) @t5)) tptp.id))) (_ (_ @t250 @t209) tptp.id))) % 0.41/0.85 (define @t307 () (forall @t225 (=> @t223 @t306))) % 0.41/0.85 (define @t308 () (=> @t307 (=> @t245 (forall @t23 (=> (forall @t154 (=> @t159 (_ @t143 @t169))) (_ @t143 @t32)))))) % 0.41/0.85 (define @t309 () (=> 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))))))))))))))))))))))))))))))))))) % 0.41/0.85 (define @t310 () (=> 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))))))))))))))))))))))))))))))))))) % 0.41/0.85 (define @t311 () (forall @t154 (=> @t304 (_ (_ @t250 @t169) tptp.id)))) % 0.41/0.85 (define @t312 () (forall @t23 (=> @t311 (_ (_ @t250 (_ tptp.lam (_ @t6 @t70))) tptp.id)))) % 0.41/0.85 (define @t313 () (=> @t307 (forall @t23 (=> @t311 (_ (_ @t250 @t32) tptp.id))))) % 0.41/0.85 (define @t314 () (_ @t200 tptp.sh)) % 0.41/0.85 (define @t315 () (_ @t314 tptp.one)) % 0.41/0.85 (define @t316 () (=> @t305 (=> @t307 (forall @t23 @t251)))) % 0.41/0.85 (define @t317 () (=> tptp.hoasinduction_lem1 (=> tptp.hoasinduction_lem2 (=> tptp.hoasinduction_lem3 tptp.hoasinduction)))) % 0.41/0.85 (define @t318 () (not tptp.hoasinduction_lem1v2_gthm)) % 0.41/0.85 (define @t319 () (@var "X" tptp.term)) % 0.41/0.85 (define @t320 () (_ @t143 @t319)) % 0.41/0.85 (define @t321 () (@list @t319)) % 0.41/0.85 (define @t322 () (lambda (@list @t5 @t1 @t83 @t143) (forall @t321 (= @t320 (_ @t83 (_ (_ tptp.sub @t319) @t16)))))) % 0.41/0.85 (define @t323 () (_ tptp.ap @t61)) % 0.41/0.85 (define @t324 () (_ @t323 @t2)) % 0.41/0.85 (define @t325 () (lambda (@list @t1 @t5 @t37 @t2) @t324)) % 0.41/0.85 (define @t326 () (_ tptp.lam @t315)) % 0.41/0.85 (define @t327 () (lambda (@list @t1 @t200) @t326)) % 0.41/0.85 (define @t328 () (_ tptp.var @t61)) % 0.41/0.85 (define @t329 () (lambda @t215 @t328)) % 0.41/0.85 (define @t330 () (_ (_ @t250 @t319) tptp.id)) % 0.41/0.85 (define @t331 () (= @t320 @t330)) % 0.41/0.85 (define @t332 () (forall @t321 @t331)) % 0.41/0.85 (define @t333 () (lambda @t266 @t332)) % 0.41/0.85 (define @t334 () (@var "BOUND_VARIABLE_9784" tptp.term)) % 0.41/0.85 (define @t335 () (_ @t143 @t334)) % 0.41/0.85 (define @t336 () (not (tptp.var @t334))) % 0.41/0.85 (define @t337 () (tptp.push tptp.one tptp.sh)) % 0.41/0.85 (define @t338 () (_ @t143 @t319)) % 0.41/0.85 (define @t339 () (tptp.sub @t5 @t337)) % 0.41/0.85 (define @t340 () (not (tptp.var @t339))) % 0.41/0.85 (define @t341 () (tptp.comp @t53 @t37)) % 0.41/0.85 (define @t342 () (_ @t244 @t1 @t5 @t341)) % 0.41/0.85 (define @t343 () (tptp.sub @t5 @t53)) % 0.41/0.85 (define @t344 () (tptp.comp @t1 @t53)) % 0.41/0.85 (define @t345 () (_ @t244 @t344 @t343 @t37)) % 0.41/0.85 (define @t346 () (forall @t261 (or (not @t345) @t342))) % 0.41/0.85 (define @t347 () (not @t346)) % 0.41/0.85 (define @t348 () (forall @t261 (or (not @t342) @t345))) % 0.41/0.85 (define @t349 () (not @t348)) % 0.41/0.85 (define @t350 () (@list @t244 @t143 @t334)) % 0.41/0.85 (define @t351 () (forall @t350 (or @t349 @t347 (not (forall @t23 (or @t340 (_ @t244 @t337 @t5 @t337)))) (not (forall @t321 (= @t338 (_ @t244 @t337 @t319 @t337)))) @t336 @t335))) % 0.41/0.85 (define @t352 () (_ @t200 tptp.sh tptp.one)) % 0.41/0.85 (define @t353 () (tptp.lam @t352)) % 0.41/0.85 (define @t354 () (tptp.sub @t5 @t37)) % 0.41/0.85 (define @t355 () (tptp.comp @t1 @t37)) % 0.41/0.85 (define @t356 () (_ @t200 @t355 @t354)) % 0.41/0.85 (define @t357 () (_ @t200 @t1 @t5)) % 0.41/0.85 (define @t358 () (tptp.sub @t357 @t37)) % 0.41/0.85 (define @t359 () (forall @t215 (= @t358 @t356))) % 0.41/0.85 (define @t360 () (not @t359)) % 0.41/0.85 (define @t361 () (@var "BOUND_VARIABLE_9634" tptp.term)) % 0.41/0.85 (define @t362 () (@var "BOUND_VARIABLE_9632" tptp.term)) % 0.41/0.85 (define @t363 () (@list @t200 @t362 @t361)) % 0.41/0.85 (define @t364 () (@var "BOUND_VARIABLE_9580" tptp.term)) % 0.41/0.85 (define @t365 () (@var "BOUND_VARIABLE_9578" tptp.subst)) % 0.41/0.85 (define @t366 () (@var "BOUND_VARIABLE_9576" (-> tptp.subst tptp.term tptp.term))) % 0.41/0.85 (define @t367 () (= (_ @t200 @t365 @t364) (_ @t366 @t365 @t364))) % 0.41/0.85 (define @t368 () (not (= @t353 (tptp.lam (_ @t366 tptp.sh tptp.one))))) % 0.41/0.85 (define @t369 () (not (forall @t215 (= (tptp.sub (_ @t366 @t1 @t5) @t37) (_ @t366 @t355 @t354))))) % 0.41/0.85 (define @t370 () (or @t360 @t369 @t368 @t367)) % 0.41/0.85 (define @t371 () (@list @t200 @t366 @t365 @t364)) % 0.41/0.85 (define @t372 () (forall @t371 @t370)) % 0.41/0.85 (define @t373 () (not (= (tptp.ap (tptp.sub @t2 @t337) @t96) (tptp.ap @t339 @t99)))) % 0.41/0.85 (define @t374 () (forall @t23 (= @t5 @t339))) % 0.41/0.85 (define @t375 () (tptp.sub @t5 @t355)) % 0.41/0.85 (define @t376 () (tptp.sub @t5 @t1)) % 0.41/0.85 (define @t377 () (tptp.sub @t376 @t37)) % 0.41/0.85 (define @t378 () (forall @t42 (= @t377 @t375))) % 0.41/0.85 (define @t379 () (forall @t46 (= @t1 (tptp.comp @t1 @t337)))) % 0.41/0.85 (define @t380 () (forall @t46 (= @t1 (tptp.comp @t337 @t1)))) % 0.41/0.85 (define @t381 () (tptp.comp @t37 @t53)) % 0.41/0.85 (define @t382 () (tptp.comp @t1 @t381)) % 0.41/0.85 (define @t383 () (tptp.comp @t355 @t53)) % 0.41/0.85 (define @t384 () (forall @t58 (= @t383 @t382))) % 0.41/0.85 (define @t385 () (@var "BOUND_VARIABLE_9396" tptp.term)) % 0.41/0.85 (define @t386 () (_ @t83 @t385)) % 0.41/0.85 (define @t387 () (tptp.lam @t5)) % 0.41/0.85 (define @t388 () (_ @t83 @t387)) % 0.41/0.85 (define @t389 () (_ @t83 @t2)) % 0.41/0.85 (define @t390 () (not @t389)) % 0.41/0.85 (define @t391 () (not (forall @t23 (or (not (forall @t154 (or @t390 (_ @t83 (tptp.sub @t5 (tptp.push @t2 @t337)))))) @t388)))) % 0.41/0.85 (define @t392 () (tptp.ap @t5 @t2)) % 0.41/0.85 (define @t393 () (_ @t83 @t392)) % 0.41/0.85 (define @t394 () (_ @t83 @t5)) % 0.41/0.85 (define @t395 () (not @t394)) % 0.41/0.85 (define @t396 () (forall @t110 (or @t395 @t390 @t393))) % 0.41/0.85 (define @t397 () (not @t396)) % 0.41/0.85 (define @t398 () (tptp.var @t5)) % 0.41/0.85 (define @t399 () (not @t398)) % 0.41/0.85 (define @t400 () (forall @t23 (or @t399 @t394))) % 0.41/0.85 (define @t401 () (not @t400)) % 0.41/0.85 (define @t402 () (@list @t83 @t385)) % 0.41/0.85 (define @t403 () (@var "BOUND_VARIABLE_9371" tptp.subst)) % 0.41/0.85 (define @t404 () (@var "BOUND_VARIABLE_9369" tptp.term)) % 0.41/0.85 (define @t405 () (_ @t83 (tptp.sub @t404 @t403))) % 0.41/0.85 (define @t406 () (tptp.var @t2)) % 0.41/0.85 (define @t407 () (not @t406)) % 0.41/0.85 (define @t408 () (not (forall @t154 (or @t407 (_ @t83 (tptp.sub @t2 @t403)))))) % 0.41/0.85 (define @t409 () (@list @t83 @t404 @t403)) % 0.41/0.85 (define @t410 () (tptp.push @t5 @t1)) % 0.41/0.85 (define @t411 () (@var "BOUND_VARIABLE_9324" tptp.term)) % 0.41/0.85 (define @t412 () (_ @t83 (tptp.sub @t411 @t410))) % 0.41/0.85 (define @t413 () (not (tptp.var @t411))) % 0.41/0.85 (define @t414 () (tptp.sub @t2 @t1)) % 0.41/0.85 (define @t415 () (_ @t83 @t414)) % 0.41/0.85 (define @t416 () (forall @t154 (or @t407 @t415))) % 0.41/0.85 (define @t417 () (not @t416)) % 0.41/0.85 (define @t418 () (or @t417 @t395 @t413 @t412)) % 0.41/0.85 (define @t419 () (@list @t83 @t5 @t1 @t411)) % 0.41/0.85 (define @t420 () (forall @t419 @t418)) % 0.41/0.85 (define @t421 () (@var "BOUND_VARIABLE_9170" tptp.term)) % 0.41/0.85 (define @t422 () (_ @t83 @t421)) % 0.41/0.85 (define @t423 () (forall @t23 (or @t395 @t388))) % 0.41/0.85 (define @t424 () (not @t423)) % 0.41/0.85 (define @t425 () (or @t401 @t397 @t424 @t422)) % 0.41/0.85 (define @t426 () (forall (@list @t83 @t421) @t425)) % 0.41/0.85 (define @t427 () (tptp.var @t387)) % 0.41/0.85 (define @t428 () (forall @t23 (not @t427))) % 0.41/0.85 (define @t429 () (tptp.var @t392)) % 0.41/0.85 (define @t430 () (forall @t110 (not @t429))) % 0.41/0.85 (define @t431 () (tptp.ap @t2 @t99)) % 0.41/0.85 (define @t432 () (forall @t120 (not (= @t387 @t431)))) % 0.41/0.85 (define @t433 () (tptp.sub @t2 tptp.sh)) % 0.41/0.85 (define @t434 () (tptp.sub @t5 tptp.sh)) % 0.41/0.85 (define @t435 () (forall @t110 (or (not (= @t434 @t433)) @t95))) % 0.41/0.85 (define @t436 () (tptp.lam @t2)) % 0.41/0.85 (define @t437 () (forall @t110 (or (not (= @t387 @t436)) @t95))) % 0.41/0.85 (define @t438 () (tptp.ap @t2 @t96)) % 0.41/0.85 (define @t439 () (tptp.ap @t5 @t99)) % 0.41/0.85 (define @t440 () (not (= @t439 @t438))) % 0.41/0.85 (define @t441 () (forall @t102 (or @t440 @t105))) % 0.41/0.85 (define @t442 () (forall @t102 (or @t440 @t95))) % 0.41/0.85 (define @t443 () (@var "BOUND_VARIABLE_9074" tptp.term)) % 0.41/0.85 (define @t444 () (_ @t83 @t443)) % 0.41/0.85 (define @t445 () (not (tptp.var @t443))) % 0.41/0.85 (define @t446 () (_ @t83 @t434)) % 0.41/0.85 (define @t447 () (forall @t23 (or @t399 @t395 @t446))) % 0.41/0.85 (define @t448 () (not @t447)) % 0.41/0.85 (define @t449 () (_ @t83 tptp.one)) % 0.41/0.85 (define @t450 () (not @t449)) % 0.41/0.85 (define @t451 () (or @t450 @t448 @t445 @t444)) % 0.41/0.85 (define @t452 () (@list @t83 @t443)) % 0.41/0.85 (define @t453 () (forall @t452 @t451)) % 0.41/0.85 (define @t454 () (tptp.var @t434)) % 0.41/0.85 (define @t455 () (forall @t23 (or @t399 @t454))) % 0.41/0.85 (define @t456 () (=> @t455 (=> @t453 (=> @t442 (=> @t441 (=> @t437 (=> @t435 (=> @t432 (=> @t430 (=> @t428 (=> @t426 (=> @t420 (=> (forall @t409 (or @t397 @t391 @t408 @t405)) (=> (forall @t402 (or @t401 @t397 @t391 @t386)) (=> (and @t384 @t380 @t379) (=> (and @t378 @t374) (=> (forall @t102 (or @t373 @t95)) (=> (forall @t102 (or @t373 @t105)) (=> @t372 (=> (forall @t363 (or @t360 (not (= @t353 (tptp.ap (tptp.sub @t362 @t337) @t361))))) (=> (forall @t225 (or @t360 (not (tptp.var (tptp.sub @t353 @t337))))) (=> (forall @t110 (not (tptp.var (tptp.sub (tptp.ap @t339 @t2) @t337)))) @t351)))))))))))))))))))))) % 0.41/0.85 (define @t457 () (tptp.var tptp.one)) % 0.41/0.85 (define @t458 () (=> @t77 @t456)) % 0.41/0.85 (define @t459 () (tptp.comp tptp.sh @t1)) % 0.41/0.85 (define @t460 () (tptp.sub tptp.one @t1)) % 0.41/0.85 (define @t461 () (tptp.push @t460 @t459)) % 0.41/0.85 (define @t462 () (forall @t46 (= @t1 @t461))) % 0.41/0.85 (define @t463 () (=> @t462 @t458)) % 0.41/0.85 (define @t464 () (=> @t379 @t463)) % 0.41/0.85 (define @t465 () (tptp.push @t354 @t355)) % 0.41/0.85 (define @t466 () (tptp.comp @t410 @t37)) % 0.41/0.85 (define @t467 () (forall @t42 (= @t466 @t465))) % 0.41/0.85 (define @t468 () (=> @t467 @t464)) % 0.41/0.85 (define @t469 () (=> @t384 @t468)) % 0.41/0.85 (define @t470 () (tptp.comp tptp.sh @t410)) % 0.41/0.85 (define @t471 () (forall @t19 (= @t1 @t470))) % 0.41/0.85 (define @t472 () (=> @t471 @t469)) % 0.41/0.85 (define @t473 () (=> @t380 @t472)) % 0.41/0.85 (define @t474 () (=> @t378 @t473)) % 0.41/0.85 (define @t475 () (tptp.comp @t1 tptp.sh)) % 0.41/0.85 (define @t476 () (tptp.push tptp.one @t475)) % 0.41/0.85 (define @t477 () (tptp.sub @t5 @t476)) % 0.41/0.85 (define @t478 () (tptp.lam @t477)) % 0.41/0.85 (define @t479 () (tptp.sub @t387 @t1)) % 0.41/0.85 (define @t480 () (forall @t19 (= @t479 @t478))) % 0.41/0.85 (define @t481 () (=> @t480 @t474)) % 0.41/0.85 (define @t482 () (=> @t374 @t481)) % 0.41/0.85 (define @t483 () (tptp.sub tptp.one @t410)) % 0.41/0.85 (define @t484 () (forall @t19 (= @t5 @t483))) % 0.41/0.85 (define @t485 () (=> @t484 @t482)) % 0.41/0.85 (define @t486 () (tptp.ap @t376 @t414)) % 0.41/0.85 (define @t487 () (tptp.sub @t392 @t1)) % 0.41/0.85 (define @t488 () (forall @t13 (= @t487 @t486))) % 0.41/0.85 (define @t489 () (=> @t488 @t485)) % 0.41/0.85 (define @t490 () (_ @t244 @t70 @t319 @t70)) % 0.41/0.85 (define @t491 () (= @t338 @t490)) % 0.41/0.85 (define @t492 () (forall @t321 @t491)) % 0.41/0.85 (define @t493 () (not @t492)) % 0.41/0.85 (define @t494 () (_ @t244 @t70 @t5 @t70)) % 0.41/0.85 (define @t495 () (tptp.sub @t5 @t70)) % 0.41/0.85 (define @t496 () (tptp.var @t495)) % 0.41/0.85 (define @t497 () (not @t496)) % 0.41/0.85 (define @t498 () (or @t497 @t494)) % 0.41/0.85 (define @t499 () (forall @t23 @t498)) % 0.41/0.85 (define @t500 () (not @t499)) % 0.41/0.85 (define @t501 () (or @t349 @t347 @t500 @t493 @t336 @t335)) % 0.41/0.85 (define @t502 () (forall @t350 @t501)) % 0.41/0.85 (define @t503 () (tptp.ap @t495 @t2)) % 0.41/0.85 (define @t504 () (tptp.sub @t503 @t70)) % 0.41/0.85 (define @t505 () (tptp.var @t504)) % 0.41/0.85 (define @t506 () (not @t505)) % 0.41/0.85 (define @t507 () (forall @t110 @t506)) % 0.41/0.85 (define @t508 () (=> @t507 @t502)) % 0.41/0.85 (define @t509 () (tptp.sub @t353 @t70)) % 0.41/0.85 (define @t510 () (tptp.var @t509)) % 0.41/0.85 (define @t511 () (not @t510)) % 0.41/0.85 (define @t512 () (or @t360 @t511)) % 0.41/0.85 (define @t513 () (forall @t225 @t512)) % 0.41/0.85 (define @t514 () (=> @t513 @t508)) % 0.41/0.85 (define @t515 () (tptp.sub @t362 @t70)) % 0.41/0.85 (define @t516 () (tptp.ap @t515 @t361)) % 0.41/0.85 (define @t517 () (= @t353 @t516)) % 0.41/0.85 (define @t518 () (not @t517)) % 0.41/0.85 (define @t519 () (or @t360 @t518)) % 0.41/0.85 (define @t520 () (forall @t363 @t519)) % 0.41/0.85 (define @t521 () (=> @t520 @t514)) % 0.41/0.85 (define @t522 () (=> @t372 @t521)) % 0.41/0.85 (define @t523 () (tptp.ap @t495 @t99)) % 0.41/0.85 (define @t524 () (tptp.sub @t2 @t70)) % 0.41/0.85 (define @t525 () (tptp.ap @t524 @t96)) % 0.41/0.85 (define @t526 () (= @t525 @t523)) % 0.41/0.85 (define @t527 () (not @t526)) % 0.41/0.85 (define @t528 () (or @t527 @t105)) % 0.41/0.85 (define @t529 () (not (= @t523 @t525))) % 0.41/0.85 (define @t530 () (or @t529 @t105)) % 0.41/0.85 (define @t531 () (forall @t102 @t530)) % 0.41/0.85 (define @t532 () (=> @t531 @t522)) % 0.41/0.85 (define @t533 () (or @t527 @t95)) % 0.41/0.85 (define @t534 () (or @t529 @t95)) % 0.41/0.85 (define @t535 () (forall @t102 @t534)) % 0.41/0.85 (define @t536 () (=> @t535 @t532)) % 0.41/0.85 (define @t537 () (= @t5 @t495)) % 0.41/0.85 (define @t538 () (forall @t23 @t537)) % 0.41/0.85 (define @t539 () (and @t378 @t538)) % 0.41/0.85 (define @t540 () (=> @t539 @t536)) % 0.41/0.85 (define @t541 () (tptp.comp @t1 @t70)) % 0.41/0.85 (define @t542 () (= @t1 @t541)) % 0.41/0.85 (define @t543 () (forall @t46 @t542)) % 0.41/0.85 (define @t544 () (tptp.comp @t70 @t1)) % 0.41/0.85 (define @t545 () (= @t1 @t544)) % 0.41/0.85 (define @t546 () (forall @t46 @t545)) % 0.41/0.85 (define @t547 () (and @t384 @t546 @t543)) % 0.41/0.85 (define @t548 () (=> @t547 @t540)) % 0.41/0.85 (define @t549 () (tptp.push @t2 @t70)) % 0.41/0.85 (define @t550 () (tptp.sub @t5 @t549)) % 0.41/0.85 (define @t551 () (_ @t83 @t550)) % 0.41/0.85 (define @t552 () (or @t390 @t551)) % 0.41/0.85 (define @t553 () (forall @t154 @t552)) % 0.41/0.85 (define @t554 () (not @t553)) % 0.41/0.85 (define @t555 () (or @t554 @t388)) % 0.41/0.85 (define @t556 () (forall @t23 @t555)) % 0.41/0.85 (define @t557 () (not @t556)) % 0.41/0.85 (define @t558 () (or @t401 @t397 @t557 @t386)) % 0.41/0.85 (define @t559 () (forall @t402 @t558)) % 0.41/0.85 (define @t560 () (=> @t559 @t548)) % 0.41/0.85 (define @t561 () (or @t397 @t557 @t408 @t405)) % 0.41/0.85 (define @t562 () (forall @t409 @t561)) % 0.41/0.85 (define @t563 () (=> @t562 @t560)) % 0.41/0.85 (define @t564 () (=> @t420 @t563)) % 0.41/0.85 (define @t565 () (=> @t426 @t564)) % 0.41/0.85 (define @t566 () (=> @t428 @t565)) % 0.41/0.85 (define @t567 () (=> @t430 @t566)) % 0.41/0.85 (define @t568 () (=> @t432 @t567)) % 0.41/0.85 (define @t569 () (=> @t435 @t568)) % 0.41/0.85 (define @t570 () (=> @t437 @t569)) % 0.41/0.85 (define @t571 () (=> @t441 @t570)) % 0.41/0.85 (define @t572 () (=> @t442 @t571)) % 0.41/0.85 (define @t573 () (=> @t453 @t572)) % 0.41/0.85 (define @t574 () (=> @t455 @t573)) % 0.41/0.85 (define @t575 () (=> @t77 @t574)) % 0.41/0.85 (define @t576 () (=> @t462 @t575)) % 0.41/0.85 (define @t577 () (=> (= @t70 @t70) @t576)) % 0.41/0.85 (define @t578 () (=> @t543 @t577)) % 0.41/0.85 (define @t579 () (=> @t467 @t578)) % 0.41/0.85 (define @t580 () (=> @t384 @t579)) % 0.41/0.85 (define @t581 () (=> @t471 @t580)) % 0.41/0.85 (define @t582 () (=> @t546 @t581)) % 0.41/0.85 (define @t583 () (=> @t378 @t582)) % 0.41/0.85 (define @t584 () (=> @t480 @t583)) % 0.41/0.85 (define @t585 () (=> @t538 @t584)) % 0.41/0.85 (define @t586 () (=> @t484 @t585)) % 0.41/0.85 (define @t587 () (=> @t488 @t586)) % 0.41/0.85 (define @t588 () (_ @t244 tptp.id @t319 tptp.id)) % 0.41/0.85 (define @t589 () (= @t338 @t588)) % 0.41/0.85 (define @t590 () (forall @t321 @t589)) % 0.41/0.85 (define @t591 () (not @t590)) % 0.41/0.85 (define @t592 () (_ @t244 tptp.id @t5 tptp.id)) % 0.41/0.85 (define @t593 () (tptp.sub @t5 tptp.id)) % 0.41/0.85 (define @t594 () (tptp.var @t593)) % 0.41/0.85 (define @t595 () (not @t594)) % 0.41/0.85 (define @t596 () (or @t595 @t592)) % 0.41/0.85 (define @t597 () (forall @t23 @t596)) % 0.41/0.85 (define @t598 () (not @t597)) % 0.41/0.85 (define @t599 () (or @t349 @t347 @t598 @t591 @t336 @t335)) % 0.41/0.85 (define @t600 () (forall @t350 @t599)) % 0.41/0.85 (define @t601 () (tptp.ap @t593 @t2)) % 0.41/0.85 (define @t602 () (tptp.sub @t601 tptp.id)) % 0.41/0.85 (define @t603 () (tptp.var @t602)) % 0.41/0.85 (define @t604 () (not @t603)) % 0.41/0.85 (define @t605 () (forall @t110 @t604)) % 0.41/0.85 (define @t606 () (=> @t605 @t600)) % 0.41/0.85 (define @t607 () (tptp.sub @t353 tptp.id)) % 0.41/0.85 (define @t608 () (tptp.var @t607)) % 0.41/0.85 (define @t609 () (not @t608)) % 0.41/0.85 (define @t610 () (or @t360 @t609)) % 0.41/0.85 (define @t611 () (forall @t225 @t610)) % 0.41/0.85 (define @t612 () (=> @t611 @t606)) % 0.41/0.85 (define @t613 () (tptp.sub @t362 tptp.id)) % 0.41/0.85 (define @t614 () (tptp.ap @t613 @t361)) % 0.41/0.85 (define @t615 () (= @t353 @t614)) % 0.41/0.85 (define @t616 () (not @t615)) % 0.41/0.85 (define @t617 () (or @t360 @t616)) % 0.41/0.85 (define @t618 () (forall @t363 @t617)) % 0.41/0.85 (define @t619 () (=> @t618 @t612)) % 0.41/0.85 (define @t620 () (=> @t372 @t619)) % 0.41/0.85 (define @t621 () (tptp.sub @t2 tptp.id)) % 0.41/0.85 (define @t622 () (tptp.ap @t621 @t96)) % 0.41/0.85 (define @t623 () (tptp.ap @t593 @t99)) % 0.41/0.85 (define @t624 () (= @t623 @t622)) % 0.41/0.85 (define @t625 () (not @t624)) % 0.41/0.85 (define @t626 () (or @t625 @t105)) % 0.41/0.85 (define @t627 () (forall @t102 @t626)) % 0.41/0.85 (define @t628 () (=> @t627 @t620)) % 0.41/0.85 (define @t629 () (or @t625 @t95)) % 0.41/0.85 (define @t630 () (forall @t102 @t629)) % 0.41/0.85 (define @t631 () (=> @t630 @t628)) % 0.41/0.85 (define @t632 () (= @t5 @t593)) % 0.41/0.85 (define @t633 () (forall @t23 @t632)) % 0.41/0.85 (define @t634 () (and @t378 @t633)) % 0.41/0.85 (define @t635 () (=> @t634 @t631)) % 0.41/0.85 (define @t636 () (tptp.comp @t1 tptp.id)) % 0.41/0.85 (define @t637 () (= @t1 @t636)) % 0.41/0.85 (define @t638 () (forall @t46 @t637)) % 0.41/0.85 (define @t639 () (tptp.comp tptp.id @t1)) % 0.41/0.85 (define @t640 () (= @t1 @t639)) % 0.41/0.85 (define @t641 () (forall @t46 @t640)) % 0.41/0.85 (define @t642 () (and @t384 @t641 @t638)) % 0.41/0.85 (define @t643 () (=> @t642 @t635)) % 0.41/0.85 (define @t644 () (tptp.push @t2 tptp.id)) % 0.41/0.85 (define @t645 () (tptp.sub @t5 @t644)) % 0.41/0.85 (define @t646 () (_ @t83 @t645)) % 0.41/0.85 (define @t647 () (or @t390 @t646)) % 0.41/0.85 (define @t648 () (forall @t154 @t647)) % 0.41/0.85 (define @t649 () (not @t648)) % 0.41/0.85 (define @t650 () (or @t649 @t388)) % 0.41/0.85 (define @t651 () (forall @t23 @t650)) % 0.41/0.85 (define @t652 () (not @t651)) % 0.41/0.85 (define @t653 () (or @t401 @t397 @t652 @t386)) % 0.41/0.85 (define @t654 () (forall @t402 @t653)) % 0.41/0.85 (define @t655 () (=> @t654 @t643)) % 0.41/0.85 (define @t656 () (or @t397 @t652 @t408 @t405)) % 0.41/0.85 (define @t657 () (forall @t409 @t656)) % 0.41/0.85 (define @t658 () (=> @t657 @t655)) % 0.41/0.85 (define @t659 () (=> @t420 @t658)) % 0.41/0.85 (define @t660 () (=> @t426 @t659)) % 0.41/0.85 (define @t661 () (=> @t428 @t660)) % 0.41/0.85 (define @t662 () (=> @t430 @t661)) % 0.41/0.85 (define @t663 () (=> @t432 @t662)) % 0.41/0.85 (define @t664 () (=> @t435 @t663)) % 0.41/0.85 (define @t665 () (=> @t437 @t664)) % 0.41/0.85 (define @t666 () (=> @t441 @t665)) % 0.41/0.85 (define @t667 () (=> @t442 @t666)) % 0.41/0.85 (define @t668 () (=> @t453 @t667)) % 0.41/0.85 (define @t669 () (=> @t455 @t668)) % 0.41/0.85 (define @t670 () (=> @t77 @t669)) % 0.41/0.85 (define @t671 () (=> @t462 @t670)) % 0.41/0.85 (define @t672 () (= tptp.id @t70)) % 0.41/0.85 (define @t673 () (=> @t672 @t671)) % 0.41/0.85 (define @t674 () (=> @t638 @t673)) % 0.41/0.85 (define @t675 () (=> @t467 @t674)) % 0.41/0.85 (define @t676 () (=> @t384 @t675)) % 0.41/0.85 (define @t677 () (=> @t471 @t676)) % 0.41/0.85 (define @t678 () (=> @t641 @t677)) % 0.41/0.85 (define @t679 () (=> @t378 @t678)) % 0.41/0.85 (define @t680 () (=> @t480 @t679)) % 0.41/0.85 (define @t681 () (=> @t633 @t680)) % 0.41/0.85 (define @t682 () (=> @t484 @t681)) % 0.41/0.85 (define @t683 () (or @t336 @t335)) % 0.41/0.85 (define @t684 () (or @t349 @t347 @t598 @t591 @t683)) % 0.41/0.85 (define @t685 () (forall @t350 @t684)) % 0.41/0.85 (define @t686 () (@list @t334)) % 0.41/0.85 (define @t687 () (forall @t686 @t684)) % 0.41/0.85 (define @t688 () (forall @t686 @t683)) % 0.41/0.85 (define @t689 () (@list @t5)) % 0.41/0.85 (define @t690 () (or @t349 @t347 @t598 @t591 @t688)) % 0.41/0.85 (define @t691 () (_ @t143 @t5)) % 0.41/0.85 (define @t692 () (forall @t23 (or @t399 @t691))) % 0.41/0.85 (define @t693 () (or @t349 @t347 @t598 @t591 @t692)) % 0.41/0.85 (define @t694 () (or @t347 @t598 @t591 @t692)) % 0.41/0.85 (define @t695 () (or @t598 @t591 @t692)) % 0.41/0.85 (define @t696 () (=> @t590 @t692)) % 0.41/0.85 (define @t697 () (=> @t597 @t696)) % 0.41/0.85 (define @t698 () (=> @t346 @t697)) % 0.41/0.85 (define @t699 () (not @t80)) % 0.41/0.85 (define @t700 () (or @t699 @t247)) % 0.41/0.85 (define @t701 () (lambda @t145 @t590)) % 0.41/0.85 (define @t702 () (_ (lambda @t266 @t590) @t244)) % 0.41/0.85 (define @t703 () (=> (_ @t702 @t143) @t248)) % 0.41/0.85 (define @t704 () (_ tptp.var @t22)) % 0.41/0.85 (define @t705 () (not @t704)) % 0.41/0.85 (define @t706 () (or @t705 @t251)) % 0.41/0.85 (define @t707 () (@list @t37)) % 0.41/0.85 (define @t708 () (lambda @t707 @t328)) % 0.41/0.85 (define @t709 () (lambda (@list @t5 @t37) @t328)) % 0.41/0.85 (define @t710 () (_ @t329 tptp.id)) % 0.41/0.85 (define @t711 () (=> (_ (_ @t710 @t5) tptp.id) @t251)) % 0.41/0.85 (define @t712 () (forall @t23 @t711)) % 0.41/0.85 (define @t713 () (=> @t712 @t703)) % 0.41/0.85 (define @t714 () (not @t260)) % 0.41/0.85 (define @t715 () (or @t714 @t257)) % 0.41/0.85 (define @t716 () (=> @t262 @t713)) % 0.41/0.85 (define @t717 () (not @t257)) % 0.41/0.85 (define @t718 () (or @t717 @t260)) % 0.41/0.85 (define @t719 () (=> @t264 @t716)) % 0.41/0.85 (define @t720 () (forall @t266 @t719)) % 0.41/0.85 (define @t721 () (_ tptp.ap @t22)) % 0.41/0.85 (define @t722 () (_ @t721 @t2)) % 0.41/0.85 (define @t723 () (_ tptp.sub @t722)) % 0.41/0.85 (define @t724 () (_ @t723 tptp.id)) % 0.41/0.85 (define @t725 () (_ tptp.var @t724)) % 0.41/0.85 (define @t726 () (_ tptp.ap @t593)) % 0.41/0.85 (define @t727 () (not @t725)) % 0.41/0.85 (define @t728 () (lambda @t707 (_ tptp.var (_ @t723 @t37)))) % 0.41/0.85 (define @t729 () (lambda @t154 @t722)) % 0.41/0.85 (define @t730 () (lambda (@list @t37 @t2) @t324)) % 0.41/0.85 (define @t731 () (lambda (@list @t5 @t37 @t2) @t324)) % 0.41/0.85 (define @t732 () (_ @t325 tptp.id)) % 0.41/0.85 (define @t733 () (_ (_ @t732 @t5) tptp.id)) % 0.41/0.85 (define @t734 () (_ @t733 @t2)) % 0.41/0.85 (define @t735 () (not (_ (_ @t710 @t734) tptp.id))) % 0.41/0.85 (define @t736 () (forall @t110 @t735)) % 0.41/0.85 (define @t737 () (_ tptp.sub @t326)) % 0.41/0.85 (define @t738 () (_ @t737 tptp.id)) % 0.41/0.85 (define @t739 () (_ tptp.var @t738)) % 0.41/0.85 (define @t740 () (not @t739)) % 0.41/0.85 (define @t741 () (or @t360 @t740)) % 0.41/0.85 (define @t742 () (lambda @t707 (_ tptp.var (_ @t737 @t37)))) % 0.41/0.85 (define @t743 () (lambda @t23 (_ @t314 @t5))) % 0.41/0.85 (define @t744 () (_ @t208 tptp.sh)) % 0.41/0.85 (define @t745 () (lambda @t225 @t326)) % 0.41/0.85 (define @t746 () (_ @t327 tptp.id)) % 0.41/0.85 (define @t747 () (_ @t746 @t208)) % 0.41/0.85 (define @t748 () (not (_ (_ @t710 @t747) tptp.id))) % 0.41/0.85 (define @t749 () (=> @t223 @t748)) % 0.41/0.85 (define @t750 () (forall @t225 @t749)) % 0.41/0.85 (define @t751 () (@list @t362 @t361)) % 0.41/0.85 (define @t752 () (forall @t751 @t617)) % 0.41/0.85 (define @t753 () (forall @t751 @t616)) % 0.41/0.85 (define @t754 () (or @t360 @t753)) % 0.41/0.85 (define @t755 () (forall @t110 (not (= @t353 @t601)))) % 0.41/0.85 (define @t756 () (= @t326 @t722)) % 0.41/0.85 (define @t757 () (not @t756)) % 0.41/0.85 (define @t758 () (lambda @t151 (_ @t314 @t99))) % 0.41/0.85 (define @t759 () (_ @t229 tptp.sh)) % 0.41/0.85 (define @t760 () (= (_ @t746 @t229) @t734)) % 0.41/0.85 (define @t761 () (not @t760)) % 0.41/0.85 (define @t762 () (forall @t110 @t761)) % 0.41/0.85 (define @t763 () (=> @t223 @t762)) % 0.41/0.85 (define @t764 () (forall @t225 @t763)) % 0.41/0.85 (define @t765 () (or @t369 @t368 @t367)) % 0.41/0.85 (define @t766 () (or @t360 @t765)) % 0.41/0.85 (define @t767 () (forall @t371 @t766)) % 0.41/0.85 (define @t768 () (@list @t366 @t365 @t364)) % 0.41/0.85 (define @t769 () (forall @t768 @t766)) % 0.41/0.85 (define @t770 () (forall @t768 @t765)) % 0.41/0.85 (define @t771 () (@var "BOUND_VARIABLE_9563" tptp.term)) % 0.41/0.85 (define @t772 () (@var "BOUND_VARIABLE_9561" tptp.subst)) % 0.41/0.85 (define @t773 () (or @t360 @t770)) % 0.41/0.85 (define @t774 () (= (_ @t200 @t772 @t771) (_ @t198 @t772 @t771))) % 0.41/0.85 (define @t775 () (_ @t198 tptp.sh tptp.one)) % 0.41/0.85 (define @t776 () (tptp.lam @t775)) % 0.41/0.85 (define @t777 () (not (= @t353 @t776))) % 0.41/0.85 (define @t778 () (_ @t198 @t355 @t354)) % 0.41/0.85 (define @t779 () (_ @t198 @t1 @t5)) % 0.41/0.85 (define @t780 () (tptp.sub @t779 @t37)) % 0.41/0.85 (define @t781 () (forall @t215 (= @t780 @t778))) % 0.41/0.85 (define @t782 () (not @t781)) % 0.41/0.85 (define @t783 () (or @t782 @t777 @t774)) % 0.41/0.85 (define @t784 () (forall (@list @t198 @t772 @t771) @t783)) % 0.41/0.85 (define @t785 () (@list @t772 @t771)) % 0.41/0.85 (define @t786 () (forall @t785 @t783)) % 0.41/0.85 (define @t787 () (forall @t785 @t774)) % 0.41/0.85 (define @t788 () (or @t782 @t777 @t787)) % 0.41/0.85 (define @t789 () (forall @t204 (= @t357 @t779))) % 0.41/0.85 (define @t790 () (_ @t198 tptp.sh)) % 0.41/0.85 (define @t791 () (_ @t790 tptp.one)) % 0.41/0.85 (define @t792 () (_ tptp.lam @t791)) % 0.41/0.85 (define @t793 () (= @t326 @t792)) % 0.41/0.85 (define @t794 () (not @t793)) % 0.41/0.85 (define @t795 () (or @t782 @t794 @t789)) % 0.41/0.85 (define @t796 () (=> @t793 @t789)) % 0.41/0.85 (define @t797 () (lambda @t23 (_ @t790 @t5))) % 0.41/0.85 (define @t798 () (_ @t206 tptp.sh)) % 0.41/0.85 (define @t799 () (= @t747 (_ @t746 @t206))) % 0.41/0.85 (define @t800 () (=> @t799 @t205)) % 0.41/0.85 (define @t801 () (=> @t216 @t800)) % 0.41/0.85 (define @t802 () (forall @t218 @t801)) % 0.41/0.85 (define @t803 () (=> @t223 @t802)) % 0.41/0.85 (define @t804 () (forall @t225 @t803)) % 0.41/0.85 (define @t805 () (_ @t3 tptp.id)) % 0.41/0.85 (define @t806 () (_ tptp.ap @t805)) % 0.41/0.85 (define @t807 () (_ @t806 @t96)) % 0.41/0.85 (define @t808 () (_ @t721 @t99)) % 0.41/0.85 (define @t809 () (= @t808 @t807)) % 0.41/0.85 (define @t810 () (not @t809)) % 0.41/0.85 (define @t811 () (or @t810 @t105)) % 0.41/0.85 (define @t812 () (@var "BOUND_VARIABLE_9440" tptp.term)) % 0.41/0.85 (define @t813 () (lambda (@list @t812) (_ @t806 @t812))) % 0.41/0.85 (define @t814 () (lambda (@list @t37 @t812) (_ (_ tptp.ap (_ @t3 @t37)) @t812))) % 0.41/0.85 (define @t815 () (@list @t2)) % 0.41/0.85 (define @t816 () (= (_ @t733 @t99) (_ (_ (_ @t732 @t2) tptp.id) @t96))) % 0.41/0.85 (define @t817 () (=> @t816 @t105)) % 0.41/0.85 (define @t818 () (forall @t102 @t817)) % 0.41/0.85 (define @t819 () (or @t810 @t95)) % 0.41/0.85 (define @t820 () (=> @t816 @t95)) % 0.41/0.85 (define @t821 () (forall @t102 @t820)) % 0.41/0.85 (define @t822 () (= @t5 @t22)) % 0.41/0.85 (define @t823 () (= @t1 @t67)) % 0.41/0.85 (define @t824 () (= @t1 @t45)) % 0.41/0.85 (define @t825 () (@list @t385)) % 0.41/0.85 (define @t826 () (forall @t825 @t653)) % 0.41/0.85 (define @t827 () (forall @t825 @t386)) % 0.41/0.85 (define @t828 () (or @t401 @t397 @t652 @t827)) % 0.41/0.85 (define @t829 () (forall @t23 @t394)) % 0.41/0.85 (define @t830 () (or @t401 @t397 @t652 @t829)) % 0.41/0.85 (define @t831 () (or @t397 @t652 @t829)) % 0.41/0.85 (define @t832 () (=> @t651 @t829)) % 0.41/0.85 (define @t833 () (=> @t396 @t832)) % 0.41/0.85 (define @t834 () (or @t649 @t132)) % 0.41/0.85 (define @t835 () (not @t136)) % 0.41/0.85 (define @t836 () (or @t835 @t170)) % 0.41/0.85 (define @t837 () (not @t84)) % 0.41/0.85 (define @t838 () (or @t837 @t835 @t135)) % 0.41/0.85 (define @t839 () (or @t699 @t84)) % 0.41/0.85 (define @t840 () (or @t408 @t405)) % 0.41/0.85 (define @t841 () (or @t397 @t652 @t840)) % 0.41/0.85 (define @t842 () (forall @t409 @t841)) % 0.41/0.85 (define @t843 () (@list @t404 @t403)) % 0.41/0.85 (define @t844 () (forall @t843 @t841)) % 0.41/0.85 (define @t845 () (forall @t843 @t840)) % 0.41/0.85 (define @t846 () (or @t397 @t652 @t845)) % 0.41/0.85 (define @t847 () (_ @t83 @t376)) % 0.41/0.85 (define @t848 () (forall @t19 (or @t417 @t847))) % 0.41/0.85 (define @t849 () (or @t397 @t652 @t848)) % 0.41/0.85 (define @t850 () (=> @t651 @t848)) % 0.41/0.85 (define @t851 () (or @t417 @t165)) % 0.41/0.85 (define @t852 () (not @t153)) % 0.41/0.85 (define @t853 () (or @t852 @t152)) % 0.41/0.85 (define @t854 () (or @t413 @t412)) % 0.41/0.85 (define @t855 () (or @t417 @t395 @t854)) % 0.41/0.85 (define @t856 () (forall @t419 @t855)) % 0.41/0.85 (define @t857 () (@list @t411)) % 0.41/0.85 (define @t858 () (forall @t857 @t855)) % 0.41/0.85 (define @t859 () (forall @t857 @t854)) % 0.41/0.85 (define @t860 () (or @t417 @t395 @t859)) % 0.41/0.85 (define @t861 () (tptp.sub @t2 @t410)) % 0.41/0.85 (define @t862 () (_ @t83 @t861)) % 0.41/0.85 (define @t863 () (forall @t154 (or @t407 @t862))) % 0.41/0.85 (define @t864 () (or @t417 @t837 @t863)) % 0.41/0.85 (define @t865 () (=> @t84 @t863)) % 0.41/0.85 (define @t866 () (or @t852 @t157)) % 0.41/0.85 (define @t867 () (@list @t421)) % 0.41/0.85 (define @t868 () (forall @t867 @t425)) % 0.41/0.85 (define @t869 () (forall @t867 @t422)) % 0.41/0.85 (define @t870 () (or @t401 @t397 @t424 @t869)) % 0.41/0.85 (define @t871 () (or @t401 @t397 @t424 @t829)) % 0.41/0.85 (define @t872 () (or @t397 @t424 @t829)) % 0.41/0.85 (define @t873 () (=> @t423 @t829)) % 0.41/0.85 (define @t874 () (=> @t396 @t873)) % 0.41/0.85 (define @t875 () (or @t837 @t132)) % 0.41/0.85 (define @t876 () (not @t114)) % 0.41/0.85 (define @t877 () (or @t876 @t95)) % 0.41/0.85 (define @t878 () (not @t109)) % 0.41/0.85 (define @t879 () (or @t878 @t95)) % 0.41/0.85 (define @t880 () (not @t101)) % 0.41/0.85 (define @t881 () (or @t880 @t105)) % 0.41/0.85 (define @t882 () (or @t880 @t95)) % 0.41/0.85 (define @t883 () (or @t445 @t444)) % 0.41/0.85 (define @t884 () (or @t450 @t448 @t883)) % 0.41/0.85 (define @t885 () (forall @t452 @t884)) % 0.41/0.85 (define @t886 () (@list @t443)) % 0.41/0.85 (define @t887 () (forall @t886 @t884)) % 0.41/0.85 (define @t888 () (forall @t886 @t883)) % 0.41/0.85 (define @t889 () (or @t450 @t448 @t888)) % 0.41/0.85 (define @t890 () (not @t90)) % 0.41/0.85 (define @t891 () (or @t890 @t448 @t400)) % 0.41/0.85 (define @t892 () (=> @t447 @t400)) % 0.41/0.85 (define @t893 () (or @t699 @t837 @t86)) % 0.41/0.85 (define @t894 () (or @t699 @t79)) % 0.41/0.85 (define @t895 () (= @t1 @t74)) % 0.41/0.85 (define @t896 () (= @t1 @t50)) % 0.41/0.85 (define @t897 () (= @t5 @t18)) % 0.41/0.85 (define @t898 () (@quantifiers_skolemize @t351 2)) % 0.41/0.85 (define @t899 () (tptp.var @t898)) % 0.41/0.85 (define @t900 () (@quantifiers_skolemize @t351 1)) % 0.41/0.85 (define @t901 () (_ @t900 @t898)) % 0.41/0.85 (define @t902 () (not @t899)) % 0.41/0.85 (define @t903 () (@quantifiers_skolemize @t351 0)) % 0.41/0.85 (define @t904 () (forall @t321 (= (_ @t900 @t319) (_ @t903 @t337 @t319 @t337)))) % 0.41/0.85 (define @t905 () (not @t904)) % 0.41/0.85 (define @t906 () (forall @t23 (or @t340 (_ @t903 @t337 @t5 @t337)))) % 0.41/0.85 (define @t907 () (not @t906)) % 0.41/0.85 (define @t908 () (_ @t903 @t1 @t5 @t341)) % 0.41/0.85 (define @t909 () (_ @t903 @t344 @t343 @t37)) % 0.41/0.85 (define @t910 () (or (not (forall @t261 (or (not @t908) @t909))) (not (forall @t261 (or (not @t909) @t908))) @t907 @t905 @t902 @t901)) % 0.41/0.85 (define @t911 () (@list true)) % 0.41/0.85 (define @t912 () (@list @t910)) % 0.41/0.85 (define @t913 () (@list @t898)) % 0.41/0.85 (define @t914 () (tptp.var (tptp.sub @t898 @t337))) % 0.41/0.85 (define @t915 () (_ @t903 @t337 @t898 @t337)) % 0.41/0.85 (define @t916 () (= @t901 @t915)) % 0.41/0.85 (define @t917 () (not @t915)) % 0.41/0.85 (define @t918 () (@list true false)) % 0.41/0.85 (define @t919 () (not @t914)) % 0.41/0.85 (define @t920 () (or @t919 @t915)) % 0.41/0.85 (assume @p1 @t15) % 0.41/0.85 (assume @p2 @t21) % 0.41/0.85 (assume @p3 @t25) % 0.41/0.85 (assume @p4 @t36) % 0.41/0.85 (assume @p5 @t44) % 0.41/0.85 (assume @p6 @t48) % 0.41/0.85 (assume @p7 @t52) % 0.41/0.85 (assume @p8 @t60) % 0.41/0.85 (assume @p9 @t66) % 0.41/0.85 (assume @p10 @t69) % 0.41/0.85 (assume @p11 @t71) % 0.41/0.85 (assume @p12 @t76) % 0.41/0.85 (assume @p13 (= tptp.ulamvar1 @t77)) % 0.41/0.85 (assume @p14 @t82) % 0.41/0.85 (assume @p15 @t94) % 0.41/0.85 (assume @p16 @t104) % 0.41/0.85 (assume @p17 @t107) % 0.41/0.85 (assume @p18 @t112) % 0.41/0.85 (assume @p19 @t116) % 0.41/0.85 (assume @p20 @t122) % 0.41/0.85 (assume @p21 @t126) % 0.41/0.85 (assume @p22 @t130) % 0.41/0.85 (assume @p23 @t142) % 0.41/0.85 (assume @p24 (= tptp.pushprop_lem0 (forall @t146 (exists @t145 @t144)))) % 0.41/0.85 (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))))))))))))))))))))))))) % 0.41/0.85 (assume @p26 (= tptp.pushprop_lem0_lthm tptp.pushprop_lem0)) % 0.41/0.85 (assume @p27 (= tptp.pushprop_lem1 (forall (@list @t83 @t148 @t5 @t1 @t2) (=> @t84 (_ @t148 (_ @t6 (_ @t147 @t1))))))) % 0.41/0.85 (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))))))))))))))))))))))))) % 0.41/0.85 (assume @p29 (= tptp.pushprop_lem1_lthm (=> tptp.axvarcons (=> tptp.axclos (=> tptp.axshiftcons (=> tptp.ulamvarind tptp.pushprop_lem1)))))) % 0.41/0.85 (assume @p30 (= tptp.pushprop_lem1v2 (forall @t149 (=> @t84 (=> @t144 (_ @t143 tptp.one)))))) % 0.41/0.85 (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))))))))))))))))))))))))) % 0.41/0.85 (assume @p32 (= tptp.pushprop_lem1v2_lthm (=> tptp.axvarcons tptp.pushprop_lem1v2))) % 0.41/0.85 (assume @p33 (= tptp.pushprop_lem2v2 (forall @t149 (=> @t144 (=> @t155 (forall @t151 (=> (_ tptp.var @t99) (=> (_ @t143 @t99) (_ @t143 (_ @t150 tptp.sh)))))))))) % 0.41/0.85 (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))))))))))))))))))))))))) % 0.41/0.85 (assume @p35 (= tptp.pushprop_lem2v2_lthm (=> tptp.axclos (=> tptp.axshiftcons tptp.pushprop_lem2v2)))) % 0.41/0.85 (assume @p36 (= tptp.pushprop_lem3v2 (forall @t149 (=> @t144 (=> (forall @t154 (=> @t153 @t159)) @t158))))) % 0.41/0.85 (assume @p37 (= tptp.pushprop_lem3v2_lthm tptp.pushprop_lem3v2)) % 0.41/0.85 (assume @p38 @t163) % 0.41/0.85 (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))))))))))))))))))))))))) % 0.41/0.85 (assume @p40 (= tptp.pushprop_lthm_orig @t164)) % 0.41/0.85 (assume @p41 (= tptp.pushprop_lthm (=> tptp.pushprop_lem0 @t164))) % 0.41/0.85 (assume @p42 @t177) % 0.41/0.85 (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)))))))))))))))))))))))) % 0.41/0.85 (assume @p44 (= tptp.induction2lem_lthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axabs (=> tptp.axclos (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr @t178)))))))))) % 0.41/0.85 (assume @p45 @t183) % 0.41/0.85 (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)))))))))))))))))))))))))) % 0.41/0.85 (assume @p47 (= tptp.induction2_lthm (=> tptp.axvarid @t184))) % 0.41/0.85 (assume @p48 @t186) % 0.41/0.85 (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)))))))))))))))))))))))))))) % 0.41/0.85 (assume @p50 (= tptp.substmonoid_lthm (=> tptp.axidl (=> tptp.axassoc (=> tptp.axidr tptp.substmonoid))))) % 0.41/0.85 (assume @p51 @t188) % 0.41/0.85 (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))))))))))))))))))))))))))))) % 0.41/0.85 (assume @p53 (= tptp.termmset_lthm (=> tptp.axvarid (=> tptp.axclos tptp.termmset)))) % 0.41/0.85 (assume @p54 @t194) % 0.41/0.85 (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)))))))))))))))))))))))))))))) % 0.41/0.85 (assume @p56 (= tptp.hoasapinj1_lthm (=> tptp.axvarid (=> tptp.apinj1 tptp.hoasapinj1)))) % 0.41/0.85 (assume @p57 @t197) % 0.41/0.85 (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))))))))))))))))))))))))))))))) % 0.41/0.85 (assume @p59 (= tptp.hoasapinj2_lthm (=> tptp.apinj2 tptp.hoasapinj2))) % 0.41/0.85 (assume @p60 @t227) % 0.41/0.85 (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)))))))))))))))))))))))))))))))) % 0.41/0.85 (assume @p62 (= tptp.hoaslaminj_lthm (=> tptp.axvarcons (=> tptp.axshiftcons (=> tptp.laminj tptp.hoaslaminj))))) % 0.41/0.85 (assume @p63 @t235) % 0.41/0.85 (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))))))))))))))))))))))))))))))))) % 0.41/0.85 (assume @p65 (= tptp.hoaslamnotap_lthm (=> tptp.lamnotap tptp.hoaslamnotap))) % 0.41/0.85 (assume @p66 @t240) % 0.41/0.85 (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)))))))))))))))))))))))))))))))))) % 0.41/0.85 (assume @p68 (= tptp.hoaslamnotvar_lthm (=> tptp.axvarid (=> tptp.lamnotvar tptp.hoaslamnotvar)))) % 0.41/0.85 (assume @p69 @t243) % 0.41/0.85 (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))))))))))))))))))))))))))))))))))) % 0.41/0.85 (assume @p71 (= tptp.hoasapnotvar_lthm (=> tptp.axvarid (=> tptp.apnotvar tptp.hoasapnotvar)))) % 0.41/0.85 (assume @p72 (= tptp.hoasinduction_lem0 (forall @t246 (exists @t145 @t245)))) % 0.41/0.85 (assume @p73 (= tptp.hoasinduction_lem0_lthm tptp.hoasinduction_lem0)) % 0.41/0.85 (assume @p74 @t268) % 0.41/0.85 (assume @p75 @t303) % 0.41/0.85 (assume @p76 (= tptp.hoasinduction_lem2v2 (forall @t266 (=> @t264 (=> @t262 (=> @t305 (=> @t245 (forall @t110 (=> @t247 (=> @t159 (_ @t143 @t10))))))))))) % 0.41/0.85 (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)))))))))))))))))))))))))))))))))))) % 0.41/0.85 (assume @p78 (= tptp.hoasinduction_lem3v2_f (forall @t154 (exists @t225 (forall @t19 (= @t202 @t156)))))) % 0.41/0.85 (assume @p79 (= tptp.hoasinduction_lem3v2_f_lthm tptp.hoasinduction_lem3v2_f)) % 0.41/0.85 (assume @p80 (= tptp.hoasinduction_lem3v2 (forall @t266 (=> @t264 (=> @t262 @t308))))) % 0.41/0.85 (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)))))))))))))))))))))))))))))))))))) % 0.41/0.85 (assume @p82 (= tptp.hoasinduction_lem3v2_lthm (=> tptp.axvarid (=> tptp.axvarshift (=> tptp.axclos (=> tptp.axmap tptp.hoasinduction_lem3v2)))))) % 0.41/0.85 (assume @p83 (= tptp.hoasinduction_lem3v2a (forall @t266 @t308))) % 0.41/0.85 (assume @p84 (= tptp.hoasinduction_lem3v2a_lthm (=> tptp.hoasinduction_lem3v2_f (=> tptp.axvarid (=> tptp.axvarshift (=> tptp.axclos (=> tptp.axmap tptp.hoasinduction_lem3v2a))))))) % 0.41/0.85 (assume @p85 (= tptp.hoasinduction_lem1 (forall @t246 (=> @t264 (=> @t262 (=> @t253 (forall @t23 (=> @t80 @t251)))))))) % 0.41/0.85 (assume @p86 (= tptp.hoasinduction_lem1_gthm @t309)) % 0.41/0.85 (assume @p87 (= tptp.hoasinduction_lem1_lthm @t309)) % 0.41/0.85 (assume @p88 (= tptp.hoasinduction_lem2 (forall @t246 (=> @t264 (=> @t262 (=> @t305 (forall @t110 (=> @t251 (=> @t304 (_ (_ @t250 @t10) tptp.id)))))))))) % 0.41/0.85 (assume @p89 (= tptp.hoasinduction_lem2_gthm @t310)) % 0.41/0.85 (assume @p90 (= tptp.hoasinduction_lem2_lthm @t310)) % 0.41/0.85 (assume @p91 (= tptp.hoasinduction_lem3aa (forall @t246 (=> @t307 @t312)))) % 0.41/0.85 (assume @p92 (= tptp.hoasinduction_lem3aa_lthm (=> tptp.axclos (=> tptp.axmap tptp.hoasinduction_lem3aa)))) % 0.41/0.85 (assume @p93 (= tptp.hoasinduction_lem3aaa (forall @t246 (=> (forall @t225 (=> (exists @t151 (forall @t215 (and (= @t221 (_ (_ tptp.sub (_ @t150 @t16)) @t37)) (= (_ @t150 @t62) @t220)))) @t306)) @t312)))) % 0.41/0.85 (assume @p94 (= tptp.hoasinduction_lem3 (forall @t246 (=> @t264 (=> @t262 @t313))))) % 0.41/0.85 (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)))))))))))))))))))))))))))))))))))))) % 0.41/0.85 (assume @p96 (= tptp.hoasinduction_lem3_lthm (=> tptp.axvarid (=> tptp.axvarshift (=> tptp.hoasinduction_lem3aa tptp.hoasinduction_lem3))))) % 0.41/0.85 (assume @p97 (= tptp.hoasinduction_lem3a (forall @t246 @t313))) % 0.41/0.85 (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)))))))))))))))))))))))))))))))))))))) % 0.41/0.85 (assume @p99 (= tptp.hoasinduction_lem3a_lthm (=> tptp.axvarid (=> tptp.axvarshift (=> tptp.hoasinduction_lem3aa tptp.hoasinduction_lem3a))))) % 0.41/0.85 (assume @p100 (= tptp.hoasinduction_lem3b (forall @t154 (exists @t225 (= (_ @t3 @t70) @t315))))) % 0.41/0.85 (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)))))))))))))))))))))))))))))))))))))) % 0.41/0.85 (assume @p102 (= tptp.hoasinduction_lem3b_lthm tptp.hoasinduction_lem3b)) % 0.41/0.85 (assume @p103 (= tptp.hoasinduction (forall @t246 (=> @t264 (=> @t262 (=> @t253 @t316)))))) % 0.41/0.85 (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 @t317)))))))))))))))))))))))))))))))))))) % 0.41/0.85 (assume @p105 (= tptp.hoasinduction_lthm (=> tptp.induction2 @t317))) % 0.41/0.85 (assume @p106 (= tptp.hoasinduction_lthm_3 (=> tptp.hoasinduction_lem0 (=> tptp.induction2 (=> tptp.axvarid (=> tptp.hoasinduction_lem3v2a tptp.hoasinduction)))))) % 0.41/0.85 (assume @p107 (= tptp.hoasinduction_no_psi_cond (forall @t246 @t316))) % 0.41/0.85 (assume @p108 (= tptp.hoasinduction_no_psi_cond_lthm (=> tptp.hoasinduction_lem0 (=> tptp.induction2 (=> tptp.axvarid (=> tptp.hoasinduction_lem3v2a tptp.hoasinduction_no_psi_cond)))))) % 0.41/0.85 (assume @p109 @t318) % 0.41/0.85 (assume @p110 true) % 0.41/0.85 (step @p111 (= tptp.pushprop_p_and_p_prime @t322) :rule refl :args (@t322)) % 0.41/0.85 (step @p112 (= tptp.hoasap @t325) :rule refl :args (@t325)) % 0.41/0.85 (step @p113 (= tptp.hoaslam @t327) :rule refl :args (@t327)) % 0.41/0.85 (step @p114 (= tptp.hoasvar @t329) :rule refl :args (@t329)) % 0.41/0.85 (step @p115 (= tptp.hoasinduction_p_and_p_prime @t333) :rule refl :args (@t333)) % 0.41/0.85 (step @p116 :rule evaluate :args ((= false true))) % 0.41/0.85 (step @p117 :rule refl :args (@t456)) % 0.41/0.85 (step @p118 :rule refl :args (@t457)) % 0.41/0.85 (step @p119 :rule refl :args (@t77)) % 0.41/0.85 (step @p120 :rule cong :premises (@p119 @p118) :args ((= @t77 @t457))) % 0.41/0.85 (step @p121 :rule symm :premises (@p120)) % 0.41/0.85 (step @p122 :rule eq_resolve :premises (@p119 @p121)) % 0.41/0.85 (step @p123 :rule cong :premises (@p122 @p117) :args (@t458)) % 0.41/0.85 (step @p124 :rule refl :args (@t462)) % 0.41/0.85 (step @p125 :rule cong :premises (@p124 @p123) :args (@t463)) % 0.41/0.85 (step @p126 :rule refl :args (@t379)) % 0.41/0.85 (step @p127 :rule cong :premises (@p126 @p125) :args (@t464)) % 0.41/0.85 (step @p128 :rule refl :args (@t467)) % 0.41/0.85 (step @p129 :rule cong :premises (@p128 @p127) :args (@t468)) % 0.41/0.85 (step @p130 :rule refl :args (@t384)) % 0.41/0.85 (step @p131 :rule cong :premises (@p130 @p129) :args (@t469)) % 0.41/0.85 (step @p132 :rule refl :args (@t471)) % 0.41/0.85 (step @p133 :rule cong :premises (@p132 @p131) :args (@t472)) % 0.41/0.85 (step @p134 :rule refl :args (@t380)) % 0.41/0.85 (step @p135 :rule cong :premises (@p134 @p133) :args (@t473)) % 0.41/0.85 (step @p136 :rule refl :args (@t378)) % 0.41/0.85 (step @p137 :rule cong :premises (@p136 @p135) :args (@t474)) % 0.41/0.85 (step @p138 :rule refl :args (@t480)) % 0.41/0.85 (step @p139 :rule cong :premises (@p138 @p137) :args (@t481)) % 0.41/0.85 (step @p140 :rule refl :args (@t374)) % 0.41/0.85 (step @p141 :rule cong :premises (@p140 @p139) :args (@t482)) % 0.41/0.85 (step @p142 :rule refl :args (@t484)) % 0.41/0.85 (step @p143 :rule cong :premises (@p142 @p141) :args (@t485)) % 0.41/0.85 (step @p144 :rule refl :args (@t488)) % 0.41/0.85 (step @p145 :rule cong :premises (@p144 @p143) :args (@t489)) % 0.41/0.85 (step @p146 :rule cong :premises (@p145) :args ((not @t489))) % 0.41/0.85 (step @p147 :rule bool-impl-true2 :args (@t463)) % 0.41/0.85 (step @p148 :rule refl :args (@t335)) % 0.41/0.85 (step @p149 :rule refl :args (@t336)) % 0.41/0.85 (step @p150 :rule refl :args (@t337)) % 0.41/0.85 (step @p151 :rule refl :args (@t70)) % 0.41/0.85 (step @p152 :rule cong :premises (@p151 @p150) :args ((= @t70 @t337))) % 0.41/0.85 (step @p153 :rule symm :premises (@p152)) % 0.41/0.85 (step @p154 :rule eq_resolve :premises (@p151 @p153)) % 0.41/0.85 (step @p155 :rule refl :args (@t319)) % 0.41/0.85 (step @p156 :rule cong :premises (@p154 @p155 @p154) :args (@t490)) % 0.41/0.85 (step @p157 :rule refl :args (@t338)) % 0.41/0.85 (step @p158 :rule cong :premises (@p157 @p156) :args (@t491)) % 0.41/0.85 (step @p159 :rule cong :premises (@p158) :args (@t492)) % 0.41/0.85 (step @p160 :rule cong :premises (@p159) :args (@t493)) % 0.41/0.85 (step @p161 :rule refl :args (@t5)) % 0.41/0.85 (step @p162 :rule cong :premises (@p154 @p161 @p154) :args (@t494)) % 0.41/0.85 (step @p163 :rule cong :premises (@p161 @p154) :args (@t495)) % 0.41/0.85 (step @p164 :rule cong :premises (@p163) :args (@t496)) % 0.41/0.85 (step @p165 :rule cong :premises (@p164) :args (@t497)) % 0.41/0.85 (step @p166 :rule nary_cong :premises (@p165 @p162) :args (@t498)) % 0.41/0.85 (step @p167 :rule cong :premises (@p166) :args (@t499)) % 0.41/0.85 (step @p168 :rule cong :premises (@p167) :args (@t500)) % 0.41/0.85 (step @p169 :rule refl :args (@t347)) % 0.41/0.85 (step @p170 :rule refl :args (@t349)) % 0.41/0.85 (step @p171 :rule nary_cong :premises (@p170 @p169 @p168 @p160 @p149 @p148) :args (@t501)) % 0.41/0.85 (step @p172 :rule cong :premises (@p171) :args (@t502)) % 0.41/0.85 (step @p173 :rule refl :args (@t2)) % 0.41/0.85 (step @p174 :rule cong :premises (@p163 @p173) :args (@t503)) % 0.41/0.85 (step @p175 :rule cong :premises (@p174 @p154) :args (@t504)) % 0.41/0.85 (step @p176 :rule cong :premises (@p175) :args (@t505)) % 0.41/0.85 (step @p177 :rule cong :premises (@p176) :args (@t506)) % 0.41/0.85 (step @p178 :rule cong :premises (@p177) :args (@t507)) % 0.41/0.85 (step @p179 :rule cong :premises (@p178 @p172) :args (@t508)) % 0.41/0.85 (step @p180 :rule refl :args (@t353)) % 0.41/0.85 (step @p181 :rule cong :premises (@p180 @p154) :args (@t509)) % 0.41/0.85 (step @p182 :rule cong :premises (@p181) :args (@t510)) % 0.41/0.85 (step @p183 :rule cong :premises (@p182) :args (@t511)) % 0.41/0.85 (step @p184 :rule refl :args (@t360)) % 0.41/0.85 (step @p185 :rule nary_cong :premises (@p184 @p183) :args (@t512)) % 0.41/0.85 (step @p186 :rule cong :premises (@p185) :args (@t513)) % 0.41/0.85 (step @p187 :rule cong :premises (@p186 @p179) :args (@t514)) % 0.41/0.85 (step @p188 :rule refl :args (@t361)) % 0.41/0.85 (step @p189 :rule refl :args (@t362)) % 0.41/0.85 (step @p190 :rule cong :premises (@p189 @p154) :args (@t515)) % 0.41/0.85 (step @p191 :rule cong :premises (@p190 @p188) :args (@t516)) % 0.41/0.85 (step @p192 :rule cong :premises (@p180 @p191) :args (@t517)) % 0.41/0.85 (step @p193 :rule cong :premises (@p192) :args (@t518)) % 0.41/0.85 (step @p194 :rule nary_cong :premises (@p184 @p193) :args (@t519)) % 0.41/0.85 (step @p195 :rule cong :premises (@p194) :args (@t520)) % 0.41/0.85 (step @p196 :rule cong :premises (@p195 @p187) :args (@t521)) % 0.41/0.85 (step @p197 :rule refl :args (@t372)) % 0.41/0.85 (step @p198 :rule cong :premises (@p197 @p196) :args (@t522)) % 0.41/0.85 (step @p199 :rule refl :args (@t105)) % 0.41/0.85 (step @p200 :rule refl :args (@t99)) % 0.41/0.85 (step @p201 :rule cong :premises (@p163 @p200) :args (@t523)) % 0.41/0.85 (step @p202 :rule refl :args (@t96)) % 0.41/0.85 (step @p203 :rule cong :premises (@p173 @p154) :args (@t524)) % 0.41/0.85 (step @p204 :rule cong :premises (@p203 @p202) :args (@t525)) % 0.41/0.85 (step @p205 :rule cong :premises (@p204 @p201) :args (@t526)) % 0.41/0.85 (step @p206 :rule cong :premises (@p205) :args (@t527)) % 0.41/0.85 (step @p207 :rule nary_cong :premises (@p206 @p199) :args (@t528)) % 0.41/0.85 (step @p208 :rule cong :premises (@p207) :args ((forall @t102 @t528))) % 0.41/0.85 (step @p209 :rule refl :args (@t105)) % 0.41/0.85 (step @p210 :rule eq-symm :args (@t523 @t525)) % 0.41/0.85 (step @p211 :rule cong :premises (@p210) :args (@t529)) % 0.41/0.85 (step @p212 :rule nary_cong :premises (@p211 @p209) :args (@t530)) % 0.41/0.85 (step @p213 :rule cong :premises (@p212) :args (@t531)) % 0.41/0.85 (step @p214 :rule trans :premises (@p213 @p208)) % 0.41/0.85 (step @p215 :rule cong :premises (@p214 @p198) :args (@t532)) % 0.41/0.85 (step @p216 :rule refl :args (@t95)) % 0.41/0.85 (step @p217 :rule nary_cong :premises (@p206 @p216) :args (@t533)) % 0.41/0.85 (step @p218 :rule cong :premises (@p217) :args ((forall @t102 @t533))) % 0.41/0.85 (step @p219 :rule refl :args (@t95)) % 0.41/0.85 (step @p220 :rule nary_cong :premises (@p211 @p219) :args (@t534)) % 0.41/0.85 (step @p221 :rule cong :premises (@p220) :args (@t535)) % 0.41/0.85 (step @p222 :rule trans :premises (@p221 @p218)) % 0.41/0.85 (step @p223 :rule cong :premises (@p222 @p215) :args (@t536)) % 0.41/0.85 (step @p224 :rule cong :premises (@p161 @p163) :args (@t537)) % 0.41/0.85 (step @p225 :rule cong :premises (@p224) :args (@t538)) % 0.41/0.85 (step @p226 :rule nary_cong :premises (@p136 @p225) :args (@t539)) % 0.41/0.85 (step @p227 :rule cong :premises (@p226 @p223) :args (@t540)) % 0.41/0.85 (step @p228 :rule refl :args (@t1)) % 0.41/0.85 (step @p229 :rule cong :premises (@p228 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cong :premises (@p1798) :args (@t35)) % 0.41/0.86 (step @p1800 :rule refl :args (tptp.axabs)) % 0.41/0.86 (step @p1801 :rule cong :premises (@p1800 @p1799) :args (@t36)) % 0.41/0.86 (step @p1802 :rule eq_resolve :premises (@p4 @p1801)) % 0.41/0.86 (step @p1803 :rule cong :premises (@p1802 @p1748) :args (@t299)) % 0.41/0.86 (step @p1804 :rule refl :args (tptp.axvarid)) % 0.41/0.86 (step @p1805 :rule cong :premises (@p1804 @p1057) :args (@t25)) % 0.41/0.86 (step @p1806 :rule eq_resolve :premises (@p3 @p1805)) % 0.41/0.86 (step @p1807 :rule cong :premises (@p1806 @p1803) :args (@t300)) % 0.41/0.86 (step @p1808 :rule refl :args ((tptp.sub tptp.one @t16))) % 0.41/0.86 (step @p1809 :rule cong :premises (@p1753 @p1382) :args (@t483)) % 0.41/0.86 (step @p1810 :rule trans :premises (@p1809 @p1808)) % 0.41/0.86 (step @p1811 :rule refl :args (@t17)) % 0.41/0.86 (step @p1812 :rule ho_cong :premises (@p1811 @p1382)) % 0.41/0.86 (step @p1813 :rule cong :premises (@p1812 @p1810) :args ((= (_ @t17 @t410) @t483))) % 0.41/0.86 (step @p1814 :rule symm :premises (@p1813)) % 0.41/0.86 (step @p1815 :rule refl :args (@t18)) % 0.41/0.86 (step @p1816 :rule eq_resolve :premises (@p1815 @p1814)) % 0.41/0.86 (step @p1817 :rule ho_cong :premises (@p1811 @p1401)) % 0.41/0.86 (step @p1818 :rule trans :premises (@p1817 @p1816)) % 0.41/0.86 (step @p1819 :rule cong :premises (@p161 @p1818) :args (@t897)) % 0.41/0.86 (step @p1820 :rule cong :premises (@p1819) :args ((forall @t19 @t897))) % 0.41/0.86 (step @p1821 :rule eq-symm :args (@t18 @t5)) % 0.41/0.86 (step @p1822 :rule cong :premises (@p1821) :args (@t20)) % 0.41/0.86 (step @p1823 :rule trans :premises (@p1822 @p1820)) % 0.41/0.86 (step @p1824 :rule refl :args (tptp.axvarcons)) % 0.41/0.86 (step @p1825 :rule cong :premises (@p1824 @p1823) :args (@t21)) % 0.41/0.86 (step @p1826 :rule eq_resolve :premises (@p2 @p1825)) % 0.41/0.86 (step @p1827 :rule cong :premises (@p1826 @p1807) :args (@t301)) % 0.41/0.86 (step @p1828 :rule refl :args ((tptp.ap @t7 @t4))) % 0.41/0.86 (step @p1829 :rule cong :premises (@p1070 @p1320) :args (@t486)) % 0.41/0.86 (step @p1830 :rule trans :premises (@p1829 @p1828)) % 0.41/0.86 (step @p1831 :rule ho_cong :premises (@p635 @p1070)) % 0.41/0.86 (step @p1832 :rule ho_cong :premises (@p1831 @p1320)) % 0.41/0.86 (step @p1833 :rule cong :premises (@p1832 @p1830) :args ((= (_ (_ tptp.ap @t376) @t414) @t486))) % 0.41/0.86 (step @p1834 :rule symm :premises (@p1833)) % 0.41/0.86 (step @p1835 :rule refl :args (@t8)) % 0.41/0.86 (step @p1836 :rule eq_resolve :premises (@p1835 @p1834)) % 0.41/0.86 (step @p1837 :rule ho_cong :premises (@p635 @p1082)) % 0.41/0.86 (step @p1838 :rule ho_cong :premises (@p1837 @p1331)) % 0.41/0.86 (step @p1839 :rule trans :premises (@p1838 @p1836)) % 0.41/0.86 (step @p1840 :rule refl :args ((tptp.sub @t10 @t1))) % 0.41/0.86 (step @p1841 :rule cong :premises (@p1244 @p228) :args (@t487)) % 0.41/0.86 (step @p1842 :rule trans :premises (@p1841 @p1840)) % 0.41/0.86 (step @p1843 :rule ho_cong :premises (@p628 @p1244)) % 0.41/0.86 (step @p1844 :rule ho_cong :premises (@p1843 @p228)) % 0.41/0.86 (step @p1845 :rule cong :premises (@p1844 @p1842) :args ((= (_ (_ tptp.sub @t392) @t1) @t487))) % 0.41/0.86 (step @p1846 :rule symm :premises (@p1845)) % 0.41/0.86 (step @p1847 :rule refl :args (@t11)) % 0.41/0.86 (step @p1848 :rule eq_resolve :premises (@p1847 @p1846)) % 0.41/0.86 (step @p1849 :rule ho_cong :premises (@p628 @p1255)) % 0.41/0.86 (step @p1850 :rule ho_cong :premises (@p1849 @p228)) % 0.41/0.86 (step @p1851 :rule trans :premises (@p1850 @p1848)) % 0.41/0.86 (step @p1852 :rule cong :premises (@p1851 @p1839) :args (@t12)) % 0.41/0.86 (step @p1853 :rule cong :premises (@p1852) :args (@t14)) % 0.41/0.86 (step @p1854 :rule refl :args (tptp.axapp)) % 0.41/0.86 (step @p1855 :rule cong :premises (@p1854 @p1853) :args (@t15)) % 0.41/0.86 (step @p1856 :rule eq_resolve :premises (@p1 @p1855)) % 0.41/0.86 (step @p1857 :rule cong :premises (@p1856 @p1827) :args (@t302)) % 0.41/0.86 (step @p1858 :rule refl :args (tptp.hoasinduction_lem1v2_gthm)) % 0.41/0.86 (step @p1859 :rule cong :premises (@p1858 @p1857) :args (@t303)) % 0.41/0.86 (step @p1860 :rule eq_resolve :premises (@p75 @p1859)) % 0.41/0.86 (step @p1861 :rule trans :premises (@p1860 @p424)) % 0.41/0.86 (step @p1862 :rule cong :premises (@p1861) :args (@t318)) % 0.41/0.86 (step @p1863 :rule trans :premises (@p1862 @p297)) % 0.41/0.86 (step @p1864 :rule trans :premises (@p1863 @p146)) % 0.41/0.86 (step @p1865 :rule eq_resolve :premises (@p109 @p1864)) % 0.41/0.86 (step @p1866 :rule not_implies_elim2 :premises (@p1865)) % 0.41/0.86 (step @p1867 :rule not_implies_elim2 :premises (@p1866)) % 0.41/0.86 (step @p1868 :rule not_implies_elim2 :premises (@p1867)) % 0.41/0.86 (step @p1869 :rule not_implies_elim2 :premises (@p1868)) % 0.41/0.86 (step @p1870 :rule not_implies_elim2 :premises (@p1869)) % 0.41/0.86 (step @p1871 :rule not_implies_elim2 :premises (@p1870)) % 0.41/0.86 (step @p1872 :rule not_implies_elim2 :premises (@p1871)) % 0.41/0.86 (step @p1873 :rule not_implies_elim2 :premises (@p1872)) % 0.41/0.86 (step @p1874 :rule not_implies_elim2 :premises (@p1873)) % 0.41/0.86 (step @p1875 :rule not_implies_elim2 :premises (@p1874)) % 0.41/0.86 (step @p1876 :rule not_implies_elim2 :premises (@p1875)) % 0.41/0.86 (step @p1877 :rule not_implies_elim2 :premises (@p1876)) % 0.41/0.86 (step @p1878 :rule not_implies_elim2 :premises (@p1877)) % 0.41/0.86 (step @p1879 :rule not_implies_elim2 :premises (@p1878)) % 0.41/0.86 (step @p1880 :rule not_implies_elim2 :premises (@p1879)) % 0.41/0.86 (step @p1881 :rule not_implies_elim2 :premises (@p1880)) % 0.41/0.86 (step @p1882 :rule not_implies_elim2 :premises (@p1881)) % 0.41/0.86 (step @p1883 :rule not_implies_elim2 :premises (@p1882)) % 0.41/0.86 (step @p1884 :rule not_implies_elim2 :premises (@p1883)) % 0.41/0.86 (step @p1885 :rule not_implies_elim2 :premises (@p1884)) % 0.41/0.86 (step @p1886 :rule not_implies_elim2 :premises (@p1885)) % 0.41/0.86 (step @p1887 :rule not_implies_elim2 :premises (@p1886)) % 0.41/0.86 (step @p1888 :rule not_implies_elim2 :premises (@p1887)) % 0.41/0.86 (step @p1889 :rule not_implies_elim2 :premises (@p1888)) % 0.41/0.86 (step @p1890 :rule not_implies_elim2 :premises (@p1889)) % 0.41/0.86 (step @p1891 :rule not_implies_elim2 :premises (@p1890)) % 0.41/0.86 (step @p1892 :rule not_implies_elim2 :premises (@p1891)) % 0.41/0.86 (step @p1893 :rule not_implies_elim2 :premises (@p1892)) % 0.41/0.86 (step @p1894 :rule not_implies_elim2 :premises (@p1893)) % 0.41/0.86 (step @p1895 :rule not_implies_elim2 :premises (@p1894)) % 0.41/0.86 (step @p1896 :rule not_implies_elim2 :premises (@p1895)) % 0.41/0.86 (step @p1897 :rule not_implies_elim2 :premises (@p1896)) % 0.41/0.86 (step @p1898 :rule not_implies_elim2 :premises (@p1897)) % 0.41/0.86 (step @p1899 :rule skolemize :premises (@p1898)) % 0.41/0.86 (step @p1900 :rule bool-double-not-elim :args (@t899)) % 0.41/0.86 (step @p1901 :rule refl :args (@t910)) % 0.41/0.86 (step @p1902 :rule nary_cong :premises (@p1901 @p1900) :args ((or @t910 (not @t902)))) % 0.41/0.86 (step @p1903 :rule cnf_or_neg :args (@t910 4)) % 0.41/0.86 (step @p1904 :rule eq_resolve :premises (@p1903 @p1902)) % 0.41/0.86 (step @p1905 :rule reordering :premises (@p1904) :args ((or @t899 @t910))) % 0.41/0.86 (step @p1906 :rule chain_m_resolution :premises (@p1905 @p1899) :args (@t899 @t911 @t912)) % 0.41/0.86 (step @p1907 :rule true_intro :premises (@p1906)) % 0.41/0.86 (step @p1908 :rule not_implies_elim1 :premises (@p1867)) % 0.41/0.86 (step @p1909 :rule instantiate :premises (@p1908) :args (@t913)) % 0.41/0.86 (step @p1910 :rule symm :premises (@p1909)) % 0.41/0.86 (step @p1911 :rule cong :premises (@p1910) :args (@t914)) % 0.41/0.86 (step @p1912 :rule bool-double-not-elim :args (@t906)) % 0.41/0.86 (step @p1913 :rule nary_cong :premises (@p1901 @p1912) :args ((or @t910 (not @t907)))) % 0.41/0.86 (step @p1914 :rule cnf_or_neg :args (@t910 2)) % 0.41/0.86 (step @p1915 :rule eq_resolve :premises (@p1914 @p1913)) % 0.41/0.86 (step @p1916 :rule reordering :premises (@p1915) :args ((or @t906 @t910))) % 0.41/0.86 (step @p1917 :rule chain_m_resolution :premises (@p1916 @p1899) :args (@t906 @t911 @t912)) % 0.41/0.86 (step @p1918 :rule instantiate :premises (@p1917) :args (@t913)) % 0.41/0.86 (step @p1919 :rule bool-double-not-elim :args (@t904)) % 0.41/0.86 (step @p1920 :rule nary_cong :premises (@p1901 @p1919) :args ((or @t910 (not @t905)))) % 0.41/0.86 (step @p1921 :rule cnf_or_neg :args (@t910 3)) % 0.41/0.86 (step @p1922 :rule eq_resolve :premises (@p1921 @p1920)) % 0.41/0.86 (step @p1923 :rule reordering :premises (@p1922) :args ((or @t904 @t910))) % 0.41/0.86 (step @p1924 :rule chain_m_resolution :premises (@p1923 @p1899) :args (@t904 @t911 @t912)) % 0.41/0.86 (step @p1925 :rule instantiate :premises (@p1924) :args (@t913)) % 0.41/0.86 (step @p1926 :rule cnf_or_neg :args (@t910 5)) % 0.41/0.86 (step @p1927 :rule chain_m_resolution :premises (@p1926 @p1899) :args ((not @t901) @t911 @t912)) % 0.41/0.86 (step @p1928 :rule cnf_equiv_pos2 :args (@t916)) % 0.41/0.86 (step @p1929 :rule reordering :premises (@p1928) :args ((or @t901 @t917 (not @t916)))) % 0.41/0.86 (step @p1930 :rule chain_m_resolution :premises (@p1929 @p1927 @p1925) :args (@t917 @t918 (@list @t901 @t916))) % 0.41/0.86 (step @p1931 :rule cnf_or_pos :args (@t920)) % 0.41/0.86 (step @p1932 :rule reordering :premises (@p1931) :args ((or @t915 @t919 (not @t920)))) % 0.41/0.86 (step @p1933 :rule chain_m_resolution :premises (@p1932 @p1930 @p1918) :args (@t919 @t918 (@list @t915 @t920))) % 0.41/0.86 (step @p1934 :rule false_intro :premises (@p1933)) % 0.41/0.86 (step @p1935 :rule symm :premises (@p1934)) % 0.41/0.86 (step @p1936 :rule trans :premises (@p1935 @p1911 @p1907)) % 0.41/0.86 (step @p1937 false :rule eq_resolve :premises (@p1936 @p116)) % 0.41/0.86 ) % 0.41/0.86 % SZS output end Proof % 0.41/0.86 % cvc5 exiting %------------------------------------------------------------------------------