%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG259^1 : TPTP v9.2.1. Bugfixed v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n002.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:05:40 AM UTC 2026 % Result : Theorem 0.39s 0.79s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG259^1 : TPTP v9.2.1. Bugfixed v5.2.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n002.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Wed Jun 3 01:55:33 EDT 2026 % 0.16/0.34 % CPUTime : % 0.38/0.55 %----Proving TH0 % 0.39/0.79 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.39/0.79 % SZS status Theorem % 0.39/0.79 % SZS output start Proof % 0.39/0.79 ( % 0.39/0.79 (declare-sort tptp.term 0) % 0.39/0.79 (declare-sort tptp.subst 0) % 0.39/0.79 (declare-const tptp.push (-> tptp.term tptp.subst tptp.subst)) % 0.39/0.79 (declare-const tptp.sub (-> tptp.term tptp.subst tptp.term)) % 0.39/0.79 (declare-const tptp.ap (-> tptp.term tptp.term tptp.term)) % 0.39/0.79 (declare-const tptp.one tptp.term) % 0.39/0.79 (declare-const tptp.sh tptp.subst) % 0.39/0.79 (declare-const tptp.lam (-> tptp.term tptp.term)) % 0.39/0.79 (declare-const tptp.var (-> tptp.term Bool)) % 0.39/0.79 (declare-const tptp.id tptp.subst) % 0.39/0.79 (declare-const tptp.hoasinduction_no_psi_cond_lthm Bool) % 0.39/0.79 (declare-const tptp.hoasinduction_no_psi_cond Bool) % 0.39/0.79 (declare-const tptp.hoasinduction_lthm_3 Bool) % 0.39/0.79 (declare-const tptp.hoasinduction_lthm Bool) % 0.39/0.79 (declare-const tptp.hoasinduction_gthm Bool) % 0.39/0.79 (declare-const tptp.hoasinduction Bool) % 0.39/0.79 (declare-const tptp.hoasinduction_lem3b_lthm Bool) % 0.39/0.79 (declare-const tptp.hoasinduction_lem3b_gthm Bool) % 0.39/0.79 (declare-const tptp.hoasinduction_lem3b Bool) % 0.39/0.79 (declare-const tptp.hoasinduction_lem3a_lthm Bool) % 0.39/0.79 (declare-const tptp.hoasinduction_lem3a_gthm Bool) % 0.39/0.79 (declare-const tptp.hoasinduction_lem3a Bool) % 0.39/0.79 (declare-const tptp.hoasinduction_lem3_lthm Bool) % 0.39/0.79 (declare-const tptp.hoasinduction_lem3_gthm Bool) % 0.39/0.79 (declare-const tptp.hoasinduction_lem3 Bool) % 0.39/0.79 (declare-const tptp.hoasinduction_lem3aaa Bool) % 0.39/0.79 (declare-const tptp.hoasinduction_lem3aa_lthm Bool) % 0.39/0.79 (declare-const tptp.hoasinduction_lem3aa Bool) % 0.39/0.79 (declare-const tptp.hoasinduction_lem2_lthm Bool) % 0.39/0.79 (declare-const tptp.hoasinduction_lem2_gthm Bool) % 0.39/0.79 (declare-const tptp.hoasinduction_lem2 Bool) % 0.39/0.79 (declare-const tptp.hoasinduction_lem1_lthm Bool) % 0.39/0.79 (declare-const tptp.hoasinduction_lem1_gthm Bool) % 0.39/0.79 (declare-const tptp.hoasinduction_lem1 Bool) % 0.39/0.79 (declare-const tptp.hoasinduction_lem3v2a_lthm Bool) % 0.39/0.79 (declare-const tptp.hoasinduction_lem3v2a Bool) % 0.39/0.79 (declare-const tptp.hoasinduction_lem3v2_lthm Bool) % 0.39/0.79 (declare-const tptp.hoasinduction_lem3v2_gthm Bool) % 0.39/0.79 (declare-const tptp.hoasinduction_lem3v2 Bool) % 0.39/0.79 (declare-const tptp.hoasinduction_lem3v2_f_lthm Bool) % 0.39/0.79 (declare-const tptp.hoasinduction_lem3v2_f Bool) % 0.39/0.79 (declare-const tptp.hoasinduction_lem2v2_gthm Bool) % 0.39/0.79 (declare-const tptp.hoasinduction_lem2v2 Bool) % 0.39/0.79 (declare-const tptp.hoasinduction_lem1v2_gthm Bool) % 0.39/0.79 (declare-const tptp.hoasinduction_lem1v2 Bool) % 0.39/0.79 (declare-const tptp.hoasinduction_lem0_lthm Bool) % 0.39/0.79 (declare-const tptp.hoasinduction_lem0 Bool) % 0.39/0.79 (declare-const tptp.hoasapnotvar_lthm Bool) % 0.39/0.79 (declare-const tptp.hoasapnotvar_gthm Bool) % 0.39/0.79 (declare-const tptp.hoasapnotvar Bool) % 0.39/0.79 (declare-const tptp.hoaslamnotvar_lthm Bool) % 0.39/0.79 (declare-const tptp.hoaslamnotvar_gthm Bool) % 0.39/0.79 (declare-const tptp.hoaslamnotvar Bool) % 0.39/0.79 (declare-const tptp.hoaslamnotap_lthm Bool) % 0.39/0.79 (declare-const tptp.hoaslamnotap_gthm Bool) % 0.39/0.79 (declare-const tptp.hoaslamnotap Bool) % 0.39/0.79 (declare-const tptp.hoaslaminj_lthm Bool) % 0.39/0.79 (declare-const tptp.hoaslaminj_gthm Bool) % 0.39/0.79 (declare-const tptp.hoaslaminj Bool) % 0.39/0.79 (declare-const tptp.hoasapinj2_lthm Bool) % 0.39/0.79 (declare-const tptp.hoasapinj2_gthm Bool) % 0.39/0.79 (declare-const tptp.hoasapinj2 Bool) % 0.39/0.79 (declare-const tptp.pushprop_lem0_lthm Bool) % 0.39/0.79 (declare-const tptp.axassoc Bool) % 0.39/0.79 (declare-const tptp.pushprop_lem0_gthm Bool) % 0.39/0.79 (declare-const tptp.axvarcons Bool) % 0.39/0.79 (declare-const tptp.pushprop_lem0 Bool) % 0.39/0.79 (declare-const tptp.apinj1 Bool) % 0.39/0.79 (declare-const tptp.induction Bool) % 0.39/0.79 (declare-const tptp.apnotvar Bool) % 0.39/0.79 (declare-const tptp.laminj Bool) % 0.39/0.79 (declare-const tptp.axvarshift Bool) % 0.39/0.79 (declare-const tptp.ulamvarind Bool) % 0.39/0.79 (declare-const tptp.pushprop_lem2v2_lthm Bool) % 0.39/0.79 (declare-const tptp.ulamvarsh Bool) % 0.39/0.79 (declare-const tptp.ulamvar1 Bool) % 0.39/0.79 (declare-const tptp.axabs Bool) % 0.39/0.79 (declare-const tptp.pushprop_lem1 Bool) % 0.39/0.79 (declare-const tptp.shinj Bool) % 0.39/0.79 (declare-const tptp.comp (-> tptp.subst tptp.subst tptp.subst)) % 0.39/0.79 (declare-const tptp.apinj2 Bool) % 0.39/0.79 (declare-const tptp.axvarid Bool) % 0.39/0.79 (declare-const tptp.axidl Bool) % 0.39/0.79 (declare-const tptp.axclos Bool) % 0.39/0.79 (declare-const tptp.termmset Bool) % 0.39/0.79 (declare-const tptp.axshiftcons Bool) % 0.39/0.79 (declare-const tptp.lamnotap Bool) % 0.39/0.79 (declare-const tptp.lamnotvar Bool) % 0.39/0.79 (declare-const tptp.axapp Bool) % 0.39/0.79 (declare-const tptp.axscons Bool) % 0.39/0.79 (declare-const tptp.axmap Bool) % 0.39/0.79 (declare-const tptp.axidr Bool) % 0.39/0.79 (declare-const tptp.induction2lem Bool) % 0.39/0.79 (declare-const tptp.pushprop_lem1_gthm Bool) % 0.39/0.79 (declare-const tptp.hoasapinj1_lthm Bool) % 0.39/0.79 (declare-const tptp.pushprop_lem1_lthm Bool) % 0.39/0.79 (declare-const tptp.pushprop_lem1v2 Bool) % 0.39/0.79 (declare-const tptp.pushprop_lem1v2_gthm Bool) % 0.39/0.79 (declare-const tptp.induction2 Bool) % 0.39/0.79 (declare-const tptp.pushprop_lem1v2_lthm Bool) % 0.39/0.79 (declare-const tptp.pushprop_lem2v2 Bool) % 0.39/0.79 (declare-const tptp.pushprop_lem2v2_gthm Bool) % 0.39/0.79 (declare-const tptp.pushprop_lem3v2 Bool) % 0.39/0.79 (declare-const tptp.pushprop_lem3v2_lthm Bool) % 0.39/0.79 (declare-const tptp.pushprop Bool) % 0.39/0.79 (declare-const tptp.pushprop_gthm Bool) % 0.39/0.79 (declare-const tptp.hoasapinj1 Bool) % 0.39/0.79 (declare-const tptp.pushprop_lthm_orig Bool) % 0.39/0.79 (declare-const tptp.pushprop_lthm Bool) % 0.39/0.79 (declare-const tptp.induction2lem_gthm Bool) % 0.39/0.79 (declare-const tptp.induction2lem_lthm Bool) % 0.39/0.79 (declare-const tptp.induction2_gthm Bool) % 0.39/0.79 (declare-const tptp.induction2_lthm Bool) % 0.39/0.79 (declare-const tptp.substmonoid Bool) % 0.39/0.79 (declare-const tptp.substmonoid_gthm Bool) % 0.39/0.79 (declare-const tptp.termmset_gthm Bool) % 0.39/0.79 (declare-const tptp.substmonoid_lthm Bool) % 0.39/0.79 (declare-const tptp.termmset_lthm Bool) % 0.39/0.79 (declare-const tptp.hoasapinj1_gthm Bool) % 0.39/0.79 (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)))))))))))) % 0.39/0.79 (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)))))) % 0.39/0.79 (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))))) % 0.39/0.79 (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)))))) % 0.39/0.79 (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)))))))) % 0.39/0.79 (define @t1 () (@var "M" tptp.subst)) % 0.39/0.79 (define @t2 () (@var "B" tptp.term)) % 0.39/0.79 (define @t3 () (_ tptp.sub @t2)) % 0.39/0.79 (define @t4 () (_ @t3 @t1)) % 0.39/0.79 (define @t5 () (@var "A" tptp.term)) % 0.39/0.79 (define @t6 () (_ tptp.sub @t5)) % 0.39/0.79 (define @t7 () (_ @t6 @t1)) % 0.39/0.79 (define @t8 () (_ (_ tptp.ap @t7) @t4)) % 0.39/0.79 (define @t9 () (_ tptp.ap @t5)) % 0.39/0.79 (define @t10 () (_ @t9 @t2)) % 0.39/0.79 (define @t11 () (_ (_ tptp.sub @t10) @t1)) % 0.39/0.79 (define @t12 () (= @t11 @t8)) % 0.39/0.79 (define @t13 () (@list @t5 @t2 @t1)) % 0.39/0.79 (define @t14 () (forall @t13 @t12)) % 0.39/0.79 (define @t15 () (= tptp.axapp @t14)) % 0.39/0.79 (define @t16 () (_ (_ tptp.push @t5) @t1)) % 0.39/0.79 (define @t17 () (_ tptp.sub tptp.one)) % 0.39/0.79 (define @t18 () (_ @t17 @t16)) % 0.39/0.79 (define @t19 () (@list @t5 @t1)) % 0.39/0.79 (define @t20 () (forall @t19 (= @t18 @t5))) % 0.39/0.79 (define @t21 () (= tptp.axvarcons @t20)) % 0.39/0.79 (define @t22 () (_ @t6 tptp.id)) % 0.39/0.79 (define @t23 () (@list @t5)) % 0.39/0.79 (define @t24 () (forall @t23 (= @t22 @t5))) % 0.39/0.79 (define @t25 () (= tptp.axvarid @t24)) % 0.39/0.79 (define @t26 () (_ tptp.comp @t1)) % 0.39/0.79 (define @t27 () (_ @t26 tptp.sh)) % 0.39/0.79 (define @t28 () (_ tptp.push tptp.one)) % 0.39/0.79 (define @t29 () (_ @t28 @t27)) % 0.39/0.79 (define @t30 () (_ @t6 @t29)) % 0.39/0.79 (define @t31 () (_ tptp.lam @t30)) % 0.39/0.79 (define @t32 () (_ tptp.lam @t5)) % 0.39/0.79 (define @t33 () (_ (_ tptp.sub @t32) @t1)) % 0.39/0.79 (define @t34 () (= @t33 @t31)) % 0.39/0.79 (define @t35 () (forall @t19 @t34)) % 0.39/0.79 (define @t36 () (= tptp.axabs @t35)) % 0.39/0.79 (define @t37 () (@var "N" tptp.subst)) % 0.39/0.79 (define @t38 () (_ @t26 @t37)) % 0.39/0.79 (define @t39 () (_ @t6 @t38)) % 0.39/0.79 (define @t40 () (_ (_ tptp.sub @t7) @t37)) % 0.39/0.79 (define @t41 () (= @t40 @t39)) % 0.39/0.79 (define @t42 () (@list @t5 @t1 @t37)) % 0.39/0.79 (define @t43 () (forall @t42 @t41)) % 0.39/0.79 (define @t44 () (= tptp.axclos @t43)) % 0.39/0.79 (define @t45 () (_ (_ tptp.comp tptp.id) @t1)) % 0.39/0.79 (define @t46 () (@list @t1)) % 0.39/0.79 (define @t47 () (forall @t46 (= @t45 @t1))) % 0.39/0.79 (define @t48 () (= tptp.axidl @t47)) % 0.39/0.79 (define @t49 () (_ tptp.comp tptp.sh)) % 0.39/0.79 (define @t50 () (_ @t49 @t16)) % 0.39/0.79 (define @t51 () (forall @t19 (= @t50 @t1))) % 0.39/0.79 (define @t52 () (= tptp.axshiftcons @t51)) % 0.39/0.79 (define @t53 () (@var "K" tptp.subst)) % 0.39/0.79 (define @t54 () (_ (_ tptp.comp @t37) @t53)) % 0.39/0.79 (define @t55 () (_ @t26 @t54)) % 0.39/0.79 (define @t56 () (_ (_ tptp.comp @t38) @t53)) % 0.39/0.79 (define @t57 () (= @t56 @t55)) % 0.39/0.79 (define @t58 () (@list @t1 @t37 @t53)) % 0.39/0.79 (define @t59 () (forall @t58 @t57)) % 0.39/0.79 (define @t60 () (= tptp.axassoc @t59)) % 0.39/0.79 (define @t61 () (_ @t6 @t37)) % 0.39/0.79 (define @t62 () (_ (_ tptp.push @t61) @t38)) % 0.39/0.79 (define @t63 () (_ (_ tptp.comp @t16) @t37)) % 0.39/0.79 (define @t64 () (= @t63 @t62)) % 0.39/0.79 (define @t65 () (forall @t42 @t64)) % 0.39/0.79 (define @t66 () (= tptp.axmap @t65)) % 0.39/0.79 (define @t67 () (_ @t26 tptp.id)) % 0.39/0.79 (define @t68 () (forall @t46 (= @t67 @t1))) % 0.39/0.79 (define @t69 () (= tptp.axidr @t68)) % 0.39/0.79 (define @t70 () (_ @t28 tptp.sh)) % 0.39/0.79 (define @t71 () (= tptp.axvarshift (= @t70 tptp.id))) % 0.39/0.79 (define @t72 () (_ @t49 @t1)) % 0.39/0.79 (define @t73 () (_ @t17 @t1)) % 0.39/0.79 (define @t74 () (_ (_ tptp.push @t73) @t72)) % 0.39/0.79 (define @t75 () (forall @t46 (= @t74 @t1))) % 0.39/0.79 (define @t76 () (= tptp.axscons @t75)) % 0.39/0.79 (define @t77 () (_ tptp.var tptp.one)) % 0.39/0.79 (define @t78 () (_ @t6 tptp.sh)) % 0.39/0.79 (define @t79 () (_ tptp.var @t78)) % 0.39/0.79 (define @t80 () (_ tptp.var @t5)) % 0.39/0.79 (define @t81 () (forall @t23 (=> @t80 @t79))) % 0.39/0.79 (define @t82 () (= tptp.ulamvarsh @t81)) % 0.39/0.79 (define @t83 () (@var "P" (-> tptp.term Bool))) % 0.39/0.79 (define @t84 () (_ @t83 @t5)) % 0.39/0.79 (define @t85 () (forall @t23 (=> @t80 @t84))) % 0.39/0.79 (define @t86 () (_ @t83 @t78)) % 0.39/0.79 (define @t87 () (=> @t84 @t86)) % 0.39/0.79 (define @t88 () (forall @t23 (=> @t80 @t87))) % 0.39/0.79 (define @t89 () (=> @t88 @t85)) % 0.39/0.79 (define @t90 () (_ @t83 tptp.one)) % 0.39/0.79 (define @t91 () (=> @t90 @t89)) % 0.39/0.79 (define @t92 () (@list @t83)) % 0.39/0.79 (define @t93 () (forall @t92 @t91)) % 0.39/0.79 (define @t94 () (= tptp.ulamvarind @t93)) % 0.39/0.79 (define @t95 () (= @t5 @t2)) % 0.39/0.79 (define @t96 () (@var "D" tptp.term)) % 0.39/0.79 (define @t97 () (_ tptp.ap @t2)) % 0.39/0.79 (define @t98 () (_ @t97 @t96)) % 0.39/0.79 (define @t99 () (@var "C" tptp.term)) % 0.39/0.79 (define @t100 () (_ @t9 @t99)) % 0.39/0.79 (define @t101 () (= @t100 @t98)) % 0.39/0.79 (define @t102 () (@list @t5 @t2 @t99 @t96)) % 0.39/0.79 (define @t103 () (forall @t102 (=> @t101 @t95))) % 0.39/0.79 (define @t104 () (= tptp.apinj1 @t103)) % 0.39/0.79 (define @t105 () (= @t99 @t96)) % 0.39/0.79 (define @t106 () (forall @t102 (=> @t101 @t105))) % 0.39/0.79 (define @t107 () (= tptp.apinj2 @t106)) % 0.39/0.79 (define @t108 () (_ tptp.lam @t2)) % 0.39/0.79 (define @t109 () (= @t32 @t108)) % 0.39/0.79 (define @t110 () (@list @t5 @t2)) % 0.39/0.79 (define @t111 () (forall @t110 (=> @t109 @t95))) % 0.39/0.79 (define @t112 () (= tptp.laminj @t111)) % 0.39/0.79 (define @t113 () (_ @t3 tptp.sh)) % 0.39/0.79 (define @t114 () (= @t78 @t113)) % 0.39/0.79 (define @t115 () (forall @t110 (=> @t114 @t95))) % 0.39/0.79 (define @t116 () (= tptp.shinj @t115)) % 0.39/0.79 (define @t117 () (_ @t97 @t99)) % 0.39/0.79 (define @t118 () (= @t32 @t117)) % 0.39/0.79 (define @t119 () (not @t118)) % 0.39/0.79 (define @t120 () (@list @t5 @t2 @t99)) % 0.39/0.79 (define @t121 () (forall @t120 @t119)) % 0.39/0.79 (define @t122 () (= tptp.lamnotap @t121)) % 0.39/0.79 (define @t123 () (_ tptp.var @t10)) % 0.39/0.79 (define @t124 () (not @t123)) % 0.39/0.79 (define @t125 () (forall @t110 @t124)) % 0.39/0.79 (define @t126 () (= tptp.apnotvar @t125)) % 0.39/0.79 (define @t127 () (_ tptp.var @t32)) % 0.39/0.79 (define @t128 () (not @t127)) % 0.39/0.79 (define @t129 () (forall @t23 @t128)) % 0.39/0.79 (define @t130 () (= tptp.lamnotvar @t129)) % 0.39/0.79 (define @t131 () (forall @t23 @t84)) % 0.39/0.79 (define @t132 () (_ @t83 @t32)) % 0.39/0.79 (define @t133 () (forall @t23 (=> @t84 @t132))) % 0.39/0.79 (define @t134 () (=> @t133 @t131)) % 0.39/0.79 (define @t135 () (_ @t83 @t10)) % 0.39/0.79 (define @t136 () (_ @t83 @t2)) % 0.39/0.79 (define @t137 () (=> @t136 @t135)) % 0.39/0.79 (define @t138 () (forall @t110 (=> @t84 @t137))) % 0.39/0.79 (define @t139 () (=> @t138 @t134)) % 0.39/0.79 (define @t140 () (=> @t85 @t139)) % 0.39/0.79 (define @t141 () (forall @t92 @t140)) % 0.39/0.79 (define @t142 () (= tptp.induction @t141)) % 0.39/0.79 (define @t143 () (@var "Q" (-> tptp.term Bool))) % 0.39/0.79 (define @t144 () (_ (_ (_ (_ tptp.pushprop_p_and_p_prime @t5) @t1) @t83) @t143)) % 0.39/0.79 (define @t145 () (@list @t143)) % 0.39/0.79 (define @t146 () (@list @t83 @t5 @t1)) % 0.39/0.79 (define @t147 () (_ tptp.push @t2)) % 0.39/0.79 (define @t148 () (@var "K" (-> tptp.term Bool))) % 0.39/0.79 (define @t149 () (@list @t83 @t143 @t5 @t1)) % 0.39/0.79 (define @t150 () (_ tptp.sub @t99)) % 0.39/0.79 (define @t151 () (@list @t99)) % 0.39/0.79 (define @t152 () (_ @t83 @t4)) % 0.39/0.79 (define @t153 () (_ tptp.var @t2)) % 0.39/0.79 (define @t154 () (@list @t2)) % 0.39/0.79 (define @t155 () (forall @t154 (=> @t153 @t152))) % 0.39/0.79 (define @t156 () (_ @t3 @t16)) % 0.39/0.79 (define @t157 () (_ @t83 @t156)) % 0.39/0.79 (define @t158 () (forall @t154 (=> @t153 @t157))) % 0.39/0.79 (define @t159 () (_ @t143 @t2)) % 0.39/0.79 (define @t160 () (=> @t84 @t158)) % 0.39/0.79 (define @t161 () (=> @t155 @t160)) % 0.39/0.79 (define @t162 () (forall @t146 @t161)) % 0.39/0.79 (define @t163 () (= tptp.pushprop @t162)) % 0.39/0.79 (define @t164 () (=> tptp.ulamvar1 (=> tptp.axvarcons (=> tptp.axclos (=> tptp.axshiftcons (=> tptp.ulamvarind tptp.pushprop)))))) % 0.39/0.79 (define @t165 () (_ @t83 @t7)) % 0.39/0.79 (define @t166 () (=> @t155 @t165)) % 0.39/0.79 (define @t167 () (forall @t19 @t166)) % 0.39/0.79 (define @t168 () (_ @t147 tptp.id)) % 0.39/0.79 (define @t169 () (_ @t6 @t168)) % 0.39/0.79 (define @t170 () (_ @t83 @t169)) % 0.39/0.79 (define @t171 () (forall @t154 (=> @t136 @t170))) % 0.39/0.79 (define @t172 () (=> @t171 @t132)) % 0.39/0.79 (define @t173 () (forall @t23 @t172)) % 0.39/0.79 (define @t174 () (=> @t173 @t167)) % 0.39/0.79 (define @t175 () (=> @t138 @t174)) % 0.39/0.79 (define @t176 () (forall @t92 @t175)) % 0.39/0.79 (define @t177 () (= tptp.induction2lem @t176)) % 0.39/0.79 (define @t178 () (=> tptp.induction (=> tptp.pushprop tptp.induction2lem))) % 0.39/0.79 (define @t179 () (=> @t173 @t131)) % 0.39/0.79 (define @t180 () (=> @t138 @t179)) % 0.39/0.79 (define @t181 () (=> @t85 @t180)) % 0.39/0.79 (define @t182 () (forall @t92 @t181)) % 0.39/0.79 (define @t183 () (= tptp.induction2 @t182)) % 0.39/0.79 (define @t184 () (=> tptp.induction2lem tptp.induction2)) % 0.39/0.79 (define @t185 () (and @t59 @t47 @t68)) % 0.39/0.79 (define @t186 () (= tptp.substmonoid @t185)) % 0.39/0.79 (define @t187 () (and @t43 @t24)) % 0.39/0.79 (define @t188 () (= tptp.termmset @t187)) % 0.39/0.79 (define @t189 () (_ tptp.hoasap tptp.id)) % 0.39/0.79 (define @t190 () (_ (_ @t189 @t5) tptp.id)) % 0.39/0.79 (define @t191 () (= (_ @t190 @t99) (_ (_ (_ @t189 @t2) tptp.id) @t96))) % 0.39/0.79 (define @t192 () (=> @t191 @t95)) % 0.39/0.79 (define @t193 () (forall @t102 @t192)) % 0.39/0.79 (define @t194 () (= tptp.hoasapinj1 @t193)) % 0.39/0.79 (define @t195 () (=> @t191 @t105)) % 0.39/0.79 (define @t196 () (forall @t102 @t195)) % 0.39/0.79 (define @t197 () (= tptp.hoasapinj2 @t196)) % 0.39/0.79 (define @t198 () (@var "G" (-> tptp.subst tptp.term tptp.term))) % 0.39/0.79 (define @t199 () (_ (_ @t198 @t1) @t5)) % 0.39/0.79 (define @t200 () (@var "F" (-> tptp.subst tptp.term tptp.term))) % 0.39/0.79 (define @t201 () (_ @t200 @t1)) % 0.39/0.79 (define @t202 () (_ @t201 @t5)) % 0.39/0.79 (define @t203 () (= @t202 @t199)) % 0.39/0.79 (define @t204 () (@list @t1 @t5)) % 0.39/0.79 (define @t205 () (forall @t204 @t203)) % 0.39/0.79 (define @t206 () (lambda @t204 @t199)) % 0.39/0.79 (define @t207 () (_ tptp.hoaslam tptp.id)) % 0.39/0.79 (define @t208 () (lambda @t204 @t202)) % 0.39/0.79 (define @t209 () (_ @t207 @t208)) % 0.39/0.79 (define @t210 () (= @t209 (_ @t207 @t206))) % 0.39/0.79 (define @t211 () (=> @t210 @t205)) % 0.39/0.79 (define @t212 () (_ (_ @t198 @t38) @t61)) % 0.39/0.79 (define @t213 () (_ (_ tptp.sub @t199) @t37)) % 0.39/0.79 (define @t214 () (= @t213 @t212)) % 0.39/0.79 (define @t215 () (@list @t1 @t5 @t37)) % 0.39/0.79 (define @t216 () (forall @t215 @t214)) % 0.39/0.79 (define @t217 () (=> @t216 @t211)) % 0.39/0.79 (define @t218 () (@list @t198)) % 0.39/0.79 (define @t219 () (forall @t218 @t217)) % 0.39/0.79 (define @t220 () (_ (_ @t200 @t38) @t61)) % 0.39/0.79 (define @t221 () (_ (_ tptp.sub @t202) @t37)) % 0.39/0.79 (define @t222 () (= @t221 @t220)) % 0.39/0.79 (define @t223 () (forall @t215 @t222)) % 0.39/0.79 (define @t224 () (=> @t223 @t219)) % 0.39/0.79 (define @t225 () (@list @t200)) % 0.39/0.79 (define @t226 () (forall @t225 @t224)) % 0.39/0.79 (define @t227 () (= tptp.hoaslaminj @t226)) % 0.39/0.79 (define @t228 () (_ @t190 @t2)) % 0.39/0.79 (define @t229 () (lambda (@list @t1 @t99) (_ @t201 @t99))) % 0.39/0.79 (define @t230 () (= (_ @t207 @t229) @t228)) % 0.39/0.79 (define @t231 () (not @t230)) % 0.39/0.79 (define @t232 () (forall @t110 @t231)) % 0.39/0.79 (define @t233 () (=> @t223 @t232)) % 0.39/0.79 (define @t234 () (forall @t225 @t233)) % 0.39/0.79 (define @t235 () (= tptp.hoaslamnotap @t234)) % 0.39/0.79 (define @t236 () (=> tptp.hoaslaminj tptp.hoaslamnotap)) % 0.39/0.79 (define @t237 () (=> tptp.hoasapinj2 @t236)) % 0.39/0.79 (define @t238 () (=> tptp.hoasapinj1 @t237)) % 0.39/0.79 (define @t239 () (=> tptp.termmset @t238)) % 0.39/0.79 (define @t240 () (=> tptp.substmonoid @t239)) % 0.39/0.79 (define @t241 () (=> tptp.induction2 @t240)) % 0.39/0.79 (define @t242 () (=> tptp.induction2lem @t241)) % 0.39/0.79 (define @t243 () (=> tptp.pushprop @t242)) % 0.39/0.79 (define @t244 () (=> tptp.induction @t243)) % 0.39/0.79 (define @t245 () (=> tptp.lamnotvar @t244)) % 0.39/0.79 (define @t246 () (=> tptp.apnotvar @t245)) % 0.39/0.79 (define @t247 () (=> tptp.lamnotap @t246)) % 0.39/0.79 (define @t248 () (=> tptp.shinj @t247)) % 0.39/0.79 (define @t249 () (=> tptp.laminj @t248)) % 0.39/0.79 (define @t250 () (=> tptp.apinj2 @t249)) % 0.39/0.79 (define @t251 () (=> tptp.apinj1 @t250)) % 0.39/0.79 (define @t252 () (=> tptp.ulamvarind @t251)) % 0.39/0.79 (define @t253 () (=> tptp.ulamvarsh @t252)) % 0.39/0.79 (define @t254 () (=> tptp.ulamvar1 @t253)) % 0.39/0.79 (define @t255 () (=> tptp.axscons @t254)) % 0.39/0.79 (define @t256 () (=> tptp.axvarshift @t255)) % 0.39/0.79 (define @t257 () (=> tptp.axidr @t256)) % 0.39/0.79 (define @t258 () (=> tptp.axmap @t257)) % 0.39/0.79 (define @t259 () (=> tptp.axassoc @t258)) % 0.39/0.79 (define @t260 () (=> tptp.axshiftcons @t259)) % 0.39/0.79 (define @t261 () (=> tptp.axidl @t260)) % 0.39/0.79 (define @t262 () (=> tptp.axclos @t261)) % 0.39/0.79 (define @t263 () (=> tptp.axabs @t262)) % 0.39/0.79 (define @t264 () (=> tptp.axvarid @t263)) % 0.39/0.79 (define @t265 () (=> tptp.axvarcons @t264)) % 0.39/0.79 (define @t266 () (=> tptp.axapp @t265)) % 0.39/0.79 (define @t267 () (= tptp.hoaslamnotap_gthm @t266)) % 0.39/0.79 (define @t268 () (_ tptp.hoasvar tptp.id)) % 0.39/0.79 (define @t269 () (@var "P" (-> tptp.subst tptp.term tptp.subst Bool))) % 0.39/0.79 (define @t270 () (_ (_ tptp.hoasinduction_p_and_p_prime @t269) @t143)) % 0.39/0.79 (define @t271 () (@list @t269)) % 0.39/0.79 (define @t272 () (_ @t143 @t5)) % 0.39/0.79 (define @t273 () (_ @t269 tptp.id)) % 0.39/0.79 (define @t274 () (_ (_ @t273 @t5) tptp.id)) % 0.39/0.79 (define @t275 () (forall @t23 (=> (_ (_ @t268 @t5) tptp.id) @t274))) % 0.39/0.79 (define @t276 () (_ (_ (_ @t269 @t1) @t5) (_ (_ tptp.comp @t53) @t37))) % 0.39/0.79 (define @t277 () (_ (_ (_ @t269 (_ @t26 @t53)) (_ @t6 @t53)) @t37)) % 0.39/0.79 (define @t278 () (@list @t1 @t5 @t37 @t53)) % 0.39/0.79 (define @t279 () (forall @t278 (=> @t277 @t276))) % 0.39/0.79 (define @t280 () (forall @t278 (=> @t276 @t277))) % 0.39/0.79 (define @t281 () (@list @t269 @t143)) % 0.39/0.79 (define @t282 () (_ (_ @t273 @t2) tptp.id)) % 0.39/0.79 (define @t283 () (forall @t110 (=> @t274 (=> @t282 (_ (_ @t273 @t228) tptp.id))))) % 0.39/0.79 (define @t284 () (=> (forall @t23 (=> @t274 (_ (_ @t273 (_ (_ @t200 tptp.id) @t5)) tptp.id))) (_ (_ @t273 @t209) tptp.id))) % 0.39/0.79 (define @t285 () (forall @t225 (=> @t223 @t284))) % 0.39/0.79 (define @t286 () (=> @t285 (=> @t270 (forall @t23 (=> (forall @t154 (=> @t159 (_ @t143 @t169))) (_ @t143 @t32)))))) % 0.39/0.79 (define @t287 () (=> 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))))))))))))))))))))))))))))))))))) % 0.39/0.79 (define @t288 () (=> 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))))))))))))))))))))))))))))))))))) % 0.39/0.79 (define @t289 () (forall @t154 (=> @t282 (_ (_ @t273 @t169) tptp.id)))) % 0.39/0.79 (define @t290 () (forall @t23 (=> @t289 (_ (_ @t273 (_ tptp.lam (_ @t6 @t70))) tptp.id)))) % 0.39/0.79 (define @t291 () (=> @t285 (forall @t23 (=> @t289 (_ (_ @t273 @t32) tptp.id))))) % 0.39/0.79 (define @t292 () (_ @t200 tptp.sh)) % 0.39/0.79 (define @t293 () (_ @t292 tptp.one)) % 0.39/0.79 (define @t294 () (=> @t283 (=> @t285 (forall @t23 @t274)))) % 0.39/0.79 (define @t295 () (=> tptp.hoasinduction_lem1 (=> tptp.hoasinduction_lem2 (=> tptp.hoasinduction_lem3 tptp.hoasinduction)))) % 0.39/0.79 (define @t296 () (not tptp.hoaslamnotap_gthm)) % 0.39/0.79 (define @t297 () (@var "X" tptp.term)) % 0.39/0.79 (define @t298 () (_ @t143 @t297)) % 0.39/0.79 (define @t299 () (@list @t297)) % 0.39/0.79 (define @t300 () (lambda (@list @t5 @t1 @t83 @t143) (forall @t299 (= @t298 (_ @t83 (_ (_ tptp.sub @t297) @t16)))))) % 0.39/0.79 (define @t301 () (_ tptp.ap @t61)) % 0.39/0.79 (define @t302 () (_ @t301 @t2)) % 0.39/0.79 (define @t303 () (lambda (@list @t1 @t5 @t37 @t2) @t302)) % 0.39/0.79 (define @t304 () (_ tptp.lam @t293)) % 0.39/0.79 (define @t305 () (lambda (@list @t1 @t200) @t304)) % 0.39/0.79 (define @t306 () (lambda @t215 (_ tptp.var @t61))) % 0.39/0.79 (define @t307 () (lambda @t281 (forall @t299 (= @t298 (_ (_ @t273 @t297) tptp.id))))) % 0.39/0.79 (define @t308 () (@var "BOUND_VARIABLE_9634" tptp.term)) % 0.39/0.79 (define @t309 () (tptp.push tptp.one tptp.sh)) % 0.39/0.79 (define @t310 () (@var "BOUND_VARIABLE_9632" tptp.term)) % 0.39/0.79 (define @t311 () (_ @t200 tptp.sh tptp.one)) % 0.39/0.79 (define @t312 () (tptp.lam @t311)) % 0.39/0.79 (define @t313 () (tptp.sub @t5 @t37)) % 0.39/0.79 (define @t314 () (tptp.comp @t1 @t37)) % 0.39/0.79 (define @t315 () (_ @t200 @t314 @t313)) % 0.39/0.79 (define @t316 () (_ @t200 @t1 @t5)) % 0.39/0.79 (define @t317 () (tptp.sub @t316 @t37)) % 0.39/0.79 (define @t318 () (forall @t215 (= @t317 @t315))) % 0.39/0.79 (define @t319 () (not @t318)) % 0.39/0.79 (define @t320 () (@list @t200 @t310 @t308)) % 0.39/0.79 (define @t321 () (forall @t320 (or @t319 (not (= @t312 (tptp.ap (tptp.sub @t310 @t309) @t308)))))) % 0.39/0.79 (define @t322 () (@var "BOUND_VARIABLE_9580" tptp.term)) % 0.39/0.79 (define @t323 () (@var "BOUND_VARIABLE_9578" tptp.subst)) % 0.39/0.79 (define @t324 () (@var "BOUND_VARIABLE_9576" (-> tptp.subst tptp.term tptp.term))) % 0.39/0.79 (define @t325 () (= (_ @t200 @t323 @t322) (_ @t324 @t323 @t322))) % 0.39/0.79 (define @t326 () (not (= @t312 (tptp.lam (_ @t324 tptp.sh tptp.one))))) % 0.39/0.79 (define @t327 () (not (forall @t215 (= (tptp.sub (_ @t324 @t1 @t5) @t37) (_ @t324 @t314 @t313))))) % 0.39/0.79 (define @t328 () (or @t319 @t327 @t326 @t325)) % 0.39/0.79 (define @t329 () (@list @t200 @t324 @t323 @t322)) % 0.39/0.79 (define @t330 () (forall @t329 @t328)) % 0.39/0.79 (define @t331 () (tptp.sub @t5 @t309)) % 0.39/0.79 (define @t332 () (not (= (tptp.ap (tptp.sub @t2 @t309) @t96) (tptp.ap @t331 @t99)))) % 0.39/0.79 (define @t333 () (forall @t23 (= @t5 @t331))) % 0.39/0.79 (define @t334 () (tptp.sub @t5 @t314)) % 0.39/0.79 (define @t335 () (tptp.sub @t5 @t1)) % 0.39/0.79 (define @t336 () (tptp.sub @t335 @t37)) % 0.39/0.79 (define @t337 () (forall @t42 (= @t336 @t334))) % 0.39/0.79 (define @t338 () (forall @t46 (= @t1 (tptp.comp @t1 @t309)))) % 0.39/0.79 (define @t339 () (forall @t46 (= @t1 (tptp.comp @t309 @t1)))) % 0.39/0.79 (define @t340 () (tptp.comp @t37 @t53)) % 0.39/0.79 (define @t341 () (tptp.comp @t1 @t340)) % 0.39/0.79 (define @t342 () (tptp.comp @t314 @t53)) % 0.39/0.79 (define @t343 () (forall @t58 (= @t342 @t341))) % 0.39/0.79 (define @t344 () (@var "BOUND_VARIABLE_9396" tptp.term)) % 0.39/0.79 (define @t345 () (_ @t83 @t344)) % 0.39/0.79 (define @t346 () (tptp.lam @t5)) % 0.39/0.79 (define @t347 () (_ @t83 @t346)) % 0.39/0.79 (define @t348 () (_ @t83 @t2)) % 0.39/0.79 (define @t349 () (not @t348)) % 0.39/0.79 (define @t350 () (not (forall @t23 (or (not (forall @t154 (or @t349 (_ @t83 (tptp.sub @t5 (tptp.push @t2 @t309)))))) @t347)))) % 0.39/0.79 (define @t351 () (tptp.ap @t5 @t2)) % 0.39/0.79 (define @t352 () (_ @t83 @t351)) % 0.39/0.79 (define @t353 () (_ @t83 @t5)) % 0.39/0.79 (define @t354 () (not @t353)) % 0.39/0.79 (define @t355 () (forall @t110 (or @t354 @t349 @t352))) % 0.39/0.79 (define @t356 () (not @t355)) % 0.39/0.79 (define @t357 () (tptp.var @t5)) % 0.39/0.79 (define @t358 () (not @t357)) % 0.39/0.79 (define @t359 () (forall @t23 (or @t358 @t353))) % 0.39/0.79 (define @t360 () (not @t359)) % 0.39/0.79 (define @t361 () (@list @t83 @t344)) % 0.39/0.79 (define @t362 () (@var "BOUND_VARIABLE_9371" tptp.subst)) % 0.39/0.79 (define @t363 () (@var "BOUND_VARIABLE_9369" tptp.term)) % 0.39/0.79 (define @t364 () (_ @t83 (tptp.sub @t363 @t362))) % 0.39/0.80 (define @t365 () (tptp.var @t2)) % 0.39/0.80 (define @t366 () (not @t365)) % 0.39/0.80 (define @t367 () (not (forall @t154 (or @t366 (_ @t83 (tptp.sub @t2 @t362)))))) % 0.39/0.80 (define @t368 () (@list @t83 @t363 @t362)) % 0.39/0.80 (define @t369 () (tptp.push @t5 @t1)) % 0.39/0.80 (define @t370 () (@var "BOUND_VARIABLE_9324" tptp.term)) % 0.39/0.80 (define @t371 () (_ @t83 (tptp.sub @t370 @t369))) % 0.39/0.80 (define @t372 () (not (tptp.var @t370))) % 0.39/0.80 (define @t373 () (tptp.sub @t2 @t1)) % 0.39/0.80 (define @t374 () (_ @t83 @t373)) % 0.39/0.80 (define @t375 () (forall @t154 (or @t366 @t374))) % 0.39/0.80 (define @t376 () (not @t375)) % 0.39/0.80 (define @t377 () (or @t376 @t354 @t372 @t371)) % 0.39/0.80 (define @t378 () (@list @t83 @t5 @t1 @t370)) % 0.39/0.80 (define @t379 () (forall @t378 @t377)) % 0.39/0.80 (define @t380 () (@var "BOUND_VARIABLE_9170" tptp.term)) % 0.39/0.80 (define @t381 () (_ @t83 @t380)) % 0.39/0.80 (define @t382 () (forall @t23 (or @t354 @t347))) % 0.39/0.80 (define @t383 () (not @t382)) % 0.39/0.80 (define @t384 () (or @t360 @t356 @t383 @t381)) % 0.39/0.80 (define @t385 () (forall (@list @t83 @t380) @t384)) % 0.39/0.80 (define @t386 () (tptp.var @t346)) % 0.39/0.80 (define @t387 () (forall @t23 (not @t386))) % 0.39/0.80 (define @t388 () (tptp.var @t351)) % 0.39/0.80 (define @t389 () (forall @t110 (not @t388))) % 0.39/0.80 (define @t390 () (tptp.ap @t2 @t99)) % 0.39/0.80 (define @t391 () (forall @t120 (not (= @t346 @t390)))) % 0.39/0.80 (define @t392 () (tptp.sub @t2 tptp.sh)) % 0.39/0.80 (define @t393 () (tptp.sub @t5 tptp.sh)) % 0.39/0.80 (define @t394 () (forall @t110 (or (not (= @t393 @t392)) @t95))) % 0.39/0.80 (define @t395 () (tptp.lam @t2)) % 0.39/0.80 (define @t396 () (forall @t110 (or (not (= @t346 @t395)) @t95))) % 0.39/0.80 (define @t397 () (tptp.ap @t2 @t96)) % 0.39/0.80 (define @t398 () (tptp.ap @t5 @t99)) % 0.39/0.80 (define @t399 () (not (= @t398 @t397))) % 0.39/0.80 (define @t400 () (forall @t102 (or @t399 @t105))) % 0.39/0.80 (define @t401 () (forall @t102 (or @t399 @t95))) % 0.39/0.80 (define @t402 () (@var "BOUND_VARIABLE_9074" tptp.term)) % 0.39/0.80 (define @t403 () (_ @t83 @t402)) % 0.39/0.80 (define @t404 () (not (tptp.var @t402))) % 0.39/0.80 (define @t405 () (_ @t83 @t393)) % 0.39/0.80 (define @t406 () (forall @t23 (or @t358 @t354 @t405))) % 0.39/0.80 (define @t407 () (not @t406)) % 0.39/0.80 (define @t408 () (_ @t83 tptp.one)) % 0.39/0.80 (define @t409 () (not @t408)) % 0.39/0.80 (define @t410 () (or @t409 @t407 @t404 @t403)) % 0.39/0.80 (define @t411 () (@list @t83 @t402)) % 0.39/0.80 (define @t412 () (forall @t411 @t410)) % 0.39/0.80 (define @t413 () (tptp.var @t393)) % 0.39/0.80 (define @t414 () (forall @t23 (or @t358 @t413))) % 0.39/0.80 (define @t415 () (=> @t414 (=> @t412 (=> @t401 (=> @t400 (=> @t396 (=> @t394 (=> @t391 (=> @t389 (=> @t387 (=> @t385 (=> @t379 (=> (forall @t368 (or @t356 @t350 @t367 @t364)) (=> (forall @t361 (or @t360 @t356 @t350 @t345)) (=> (and @t343 @t339 @t338) (=> (and @t337 @t333) (=> (forall @t102 (or @t332 @t95)) (=> (forall @t102 (or @t332 @t105)) (=> @t330 @t321))))))))))))))))))) % 0.39/0.80 (define @t416 () (tptp.var tptp.one)) % 0.39/0.80 (define @t417 () (=> @t77 @t415)) % 0.39/0.80 (define @t418 () (tptp.comp tptp.sh @t1)) % 0.39/0.80 (define @t419 () (tptp.sub tptp.one @t1)) % 0.39/0.80 (define @t420 () (tptp.push @t419 @t418)) % 0.39/0.80 (define @t421 () (forall @t46 (= @t1 @t420))) % 0.39/0.80 (define @t422 () (=> @t421 @t417)) % 0.39/0.80 (define @t423 () (=> @t338 @t422)) % 0.39/0.80 (define @t424 () (tptp.push @t313 @t314)) % 0.39/0.80 (define @t425 () (tptp.comp @t369 @t37)) % 0.39/0.80 (define @t426 () (forall @t42 (= @t425 @t424))) % 0.39/0.80 (define @t427 () (=> @t426 @t423)) % 0.39/0.80 (define @t428 () (=> @t343 @t427)) % 0.39/0.80 (define @t429 () (tptp.comp tptp.sh @t369)) % 0.39/0.80 (define @t430 () (forall @t19 (= @t1 @t429))) % 0.39/0.80 (define @t431 () (=> @t430 @t428)) % 0.39/0.80 (define @t432 () (=> @t339 @t431)) % 0.39/0.80 (define @t433 () (=> @t337 @t432)) % 0.39/0.80 (define @t434 () (tptp.comp @t1 tptp.sh)) % 0.39/0.80 (define @t435 () (tptp.push tptp.one @t434)) % 0.39/0.80 (define @t436 () (tptp.sub @t5 @t435)) % 0.39/0.80 (define @t437 () (tptp.lam @t436)) % 0.39/0.80 (define @t438 () (tptp.sub @t346 @t1)) % 0.39/0.80 (define @t439 () (forall @t19 (= @t438 @t437))) % 0.39/0.80 (define @t440 () (=> @t439 @t433)) % 0.39/0.80 (define @t441 () (=> @t333 @t440)) % 0.39/0.80 (define @t442 () (tptp.sub tptp.one @t369)) % 0.39/0.80 (define @t443 () (forall @t19 (= @t5 @t442))) % 0.39/0.80 (define @t444 () (=> @t443 @t441)) % 0.39/0.80 (define @t445 () (tptp.ap @t335 @t373)) % 0.39/0.80 (define @t446 () (tptp.sub @t351 @t1)) % 0.39/0.80 (define @t447 () (forall @t13 (= @t446 @t445))) % 0.39/0.80 (define @t448 () (=> @t447 @t444)) % 0.39/0.80 (define @t449 () (tptp.sub @t310 @t70)) % 0.39/0.80 (define @t450 () (tptp.ap @t449 @t308)) % 0.39/0.80 (define @t451 () (= @t312 @t450)) % 0.39/0.80 (define @t452 () (not @t451)) % 0.39/0.80 (define @t453 () (or @t319 @t452)) % 0.39/0.80 (define @t454 () (forall @t320 @t453)) % 0.39/0.80 (define @t455 () (=> @t330 @t454)) % 0.39/0.80 (define @t456 () (tptp.sub @t5 @t70)) % 0.39/0.80 (define @t457 () (tptp.ap @t456 @t99)) % 0.39/0.80 (define @t458 () (tptp.sub @t2 @t70)) % 0.39/0.80 (define @t459 () (tptp.ap @t458 @t96)) % 0.39/0.80 (define @t460 () (= @t459 @t457)) % 0.39/0.80 (define @t461 () (not @t460)) % 0.39/0.80 (define @t462 () (or @t461 @t105)) % 0.39/0.80 (define @t463 () (not (= @t457 @t459))) % 0.39/0.80 (define @t464 () (or @t463 @t105)) % 0.39/0.80 (define @t465 () (forall @t102 @t464)) % 0.39/0.80 (define @t466 () (=> @t465 @t455)) % 0.39/0.80 (define @t467 () (or @t461 @t95)) % 0.39/0.80 (define @t468 () (or @t463 @t95)) % 0.39/0.80 (define @t469 () (forall @t102 @t468)) % 0.39/0.80 (define @t470 () (=> @t469 @t466)) % 0.39/0.80 (define @t471 () (= @t5 @t456)) % 0.39/0.80 (define @t472 () (forall @t23 @t471)) % 0.39/0.80 (define @t473 () (and @t337 @t472)) % 0.39/0.80 (define @t474 () (=> @t473 @t470)) % 0.39/0.80 (define @t475 () (tptp.comp @t1 @t70)) % 0.39/0.80 (define @t476 () (= @t1 @t475)) % 0.39/0.80 (define @t477 () (forall @t46 @t476)) % 0.39/0.80 (define @t478 () (tptp.comp @t70 @t1)) % 0.39/0.80 (define @t479 () (= @t1 @t478)) % 0.39/0.80 (define @t480 () (forall @t46 @t479)) % 0.39/0.80 (define @t481 () (and @t343 @t480 @t477)) % 0.39/0.80 (define @t482 () (=> @t481 @t474)) % 0.39/0.80 (define @t483 () (tptp.push @t2 @t70)) % 0.39/0.80 (define @t484 () (tptp.sub @t5 @t483)) % 0.39/0.80 (define @t485 () (_ @t83 @t484)) % 0.39/0.80 (define @t486 () (or @t349 @t485)) % 0.39/0.80 (define @t487 () (forall @t154 @t486)) % 0.39/0.80 (define @t488 () (not @t487)) % 0.39/0.80 (define @t489 () (or @t488 @t347)) % 0.39/0.80 (define @t490 () (forall @t23 @t489)) % 0.39/0.80 (define @t491 () (not @t490)) % 0.39/0.80 (define @t492 () (or @t360 @t356 @t491 @t345)) % 0.39/0.80 (define @t493 () (forall @t361 @t492)) % 0.39/0.80 (define @t494 () (=> @t493 @t482)) % 0.39/0.80 (define @t495 () (or @t356 @t491 @t367 @t364)) % 0.39/0.80 (define @t496 () (forall @t368 @t495)) % 0.39/0.80 (define @t497 () (=> @t496 @t494)) % 0.39/0.80 (define @t498 () (=> @t379 @t497)) % 0.39/0.80 (define @t499 () (=> @t385 @t498)) % 0.39/0.80 (define @t500 () (=> @t387 @t499)) % 0.39/0.80 (define @t501 () (=> @t389 @t500)) % 0.39/0.80 (define @t502 () (=> @t391 @t501)) % 0.39/0.80 (define @t503 () (=> @t394 @t502)) % 0.39/0.80 (define @t504 () (=> @t396 @t503)) % 0.39/0.80 (define @t505 () (=> @t400 @t504)) % 0.39/0.80 (define @t506 () (=> @t401 @t505)) % 0.39/0.80 (define @t507 () (=> @t412 @t506)) % 0.39/0.80 (define @t508 () (=> @t414 @t507)) % 0.39/0.80 (define @t509 () (=> @t77 @t508)) % 0.39/0.80 (define @t510 () (=> @t421 @t509)) % 0.39/0.80 (define @t511 () (=> (= @t70 @t70) @t510)) % 0.39/0.80 (define @t512 () (=> @t477 @t511)) % 0.39/0.80 (define @t513 () (=> @t426 @t512)) % 0.39/0.80 (define @t514 () (=> @t343 @t513)) % 0.39/0.80 (define @t515 () (=> @t430 @t514)) % 0.39/0.80 (define @t516 () (=> @t480 @t515)) % 0.39/0.80 (define @t517 () (=> @t337 @t516)) % 0.39/0.80 (define @t518 () (=> @t439 @t517)) % 0.39/0.80 (define @t519 () (=> @t472 @t518)) % 0.39/0.80 (define @t520 () (=> @t443 @t519)) % 0.39/0.80 (define @t521 () (=> @t447 @t520)) % 0.39/0.80 (define @t522 () (tptp.sub @t310 tptp.id)) % 0.39/0.80 (define @t523 () (tptp.ap @t522 @t308)) % 0.39/0.80 (define @t524 () (= @t312 @t523)) % 0.39/0.80 (define @t525 () (not @t524)) % 0.39/0.80 (define @t526 () (or @t319 @t525)) % 0.39/0.80 (define @t527 () (forall @t320 @t526)) % 0.39/0.80 (define @t528 () (=> @t330 @t527)) % 0.39/0.80 (define @t529 () (tptp.sub @t2 tptp.id)) % 0.39/0.80 (define @t530 () (tptp.ap @t529 @t96)) % 0.39/0.80 (define @t531 () (tptp.sub @t5 tptp.id)) % 0.39/0.80 (define @t532 () (tptp.ap @t531 @t99)) % 0.39/0.80 (define @t533 () (= @t532 @t530)) % 0.39/0.80 (define @t534 () (not @t533)) % 0.39/0.80 (define @t535 () (or @t534 @t105)) % 0.39/0.80 (define @t536 () (forall @t102 @t535)) % 0.39/0.80 (define @t537 () (=> @t536 @t528)) % 0.39/0.80 (define @t538 () (or @t534 @t95)) % 0.39/0.80 (define @t539 () (forall @t102 @t538)) % 0.39/0.80 (define @t540 () (=> @t539 @t537)) % 0.39/0.80 (define @t541 () (= @t5 @t531)) % 0.39/0.80 (define @t542 () (forall @t23 @t541)) % 0.39/0.80 (define @t543 () (and @t337 @t542)) % 0.39/0.80 (define @t544 () (=> @t543 @t540)) % 0.39/0.80 (define @t545 () (tptp.comp @t1 tptp.id)) % 0.39/0.80 (define @t546 () (= @t1 @t545)) % 0.39/0.80 (define @t547 () (forall @t46 @t546)) % 0.39/0.80 (define @t548 () (tptp.comp tptp.id @t1)) % 0.39/0.80 (define @t549 () (= @t1 @t548)) % 0.39/0.80 (define @t550 () (forall @t46 @t549)) % 0.39/0.80 (define @t551 () (and @t343 @t550 @t547)) % 0.39/0.80 (define @t552 () (=> @t551 @t544)) % 0.39/0.80 (define @t553 () (tptp.push @t2 tptp.id)) % 0.39/0.80 (define @t554 () (tptp.sub @t5 @t553)) % 0.39/0.80 (define @t555 () (_ @t83 @t554)) % 0.39/0.80 (define @t556 () (or @t349 @t555)) % 0.39/0.80 (define @t557 () (forall @t154 @t556)) % 0.39/0.80 (define @t558 () (not @t557)) % 0.39/0.80 (define @t559 () (or @t558 @t347)) % 0.39/0.80 (define @t560 () (forall @t23 @t559)) % 0.39/0.80 (define @t561 () (not @t560)) % 0.39/0.80 (define @t562 () (or @t360 @t356 @t561 @t345)) % 0.39/0.80 (define @t563 () (forall @t361 @t562)) % 0.39/0.80 (define @t564 () (=> @t563 @t552)) % 0.39/0.80 (define @t565 () (or @t356 @t561 @t367 @t364)) % 0.39/0.80 (define @t566 () (forall @t368 @t565)) % 0.39/0.80 (define @t567 () (=> @t566 @t564)) % 0.39/0.80 (define @t568 () (=> @t379 @t567)) % 0.39/0.80 (define @t569 () (=> @t385 @t568)) % 0.39/0.80 (define @t570 () (=> @t387 @t569)) % 0.39/0.80 (define @t571 () (=> @t389 @t570)) % 0.39/0.80 (define @t572 () (=> @t391 @t571)) % 0.39/0.80 (define @t573 () (=> @t394 @t572)) % 0.39/0.80 (define @t574 () (=> @t396 @t573)) % 0.39/0.80 (define @t575 () (=> @t400 @t574)) % 0.39/0.80 (define @t576 () (=> @t401 @t575)) % 0.39/0.80 (define @t577 () (=> @t412 @t576)) % 0.39/0.80 (define @t578 () (=> @t414 @t577)) % 0.39/0.80 (define @t579 () (=> @t77 @t578)) % 0.39/0.80 (define @t580 () (=> @t421 @t579)) % 0.39/0.80 (define @t581 () (= tptp.id @t70)) % 0.39/0.80 (define @t582 () (=> @t581 @t580)) % 0.39/0.80 (define @t583 () (=> @t547 @t582)) % 0.39/0.80 (define @t584 () (=> @t426 @t583)) % 0.39/0.80 (define @t585 () (=> @t343 @t584)) % 0.39/0.80 (define @t586 () (=> @t430 @t585)) % 0.39/0.80 (define @t587 () (=> @t550 @t586)) % 0.39/0.80 (define @t588 () (=> @t337 @t587)) % 0.39/0.80 (define @t589 () (=> @t439 @t588)) % 0.39/0.80 (define @t590 () (=> @t542 @t589)) % 0.39/0.80 (define @t591 () (=> @t443 @t590)) % 0.39/0.80 (define @t592 () (@list @t310 @t308)) % 0.39/0.80 (define @t593 () (forall @t592 @t526)) % 0.39/0.80 (define @t594 () (forall @t592 @t525)) % 0.39/0.80 (define @t595 () (or @t319 @t594)) % 0.39/0.80 (define @t596 () (tptp.ap @t531 @t2)) % 0.39/0.80 (define @t597 () (forall @t110 (not (= @t312 @t596)))) % 0.39/0.80 (define @t598 () (_ tptp.ap @t531)) % 0.39/0.80 (define @t599 () (_ tptp.ap @t22)) % 0.39/0.80 (define @t600 () (_ @t599 @t2)) % 0.39/0.80 (define @t601 () (= @t304 @t600)) % 0.39/0.80 (define @t602 () (not @t601)) % 0.39/0.80 (define @t603 () (lambda @t154 @t600)) % 0.39/0.80 (define @t604 () (lambda (@list @t37 @t2) @t302)) % 0.39/0.80 (define @t605 () (lambda (@list @t5 @t37 @t2) @t302)) % 0.39/0.80 (define @t606 () (_ @t303 tptp.id)) % 0.39/0.80 (define @t607 () (lambda @t151 (_ @t292 @t99))) % 0.39/0.80 (define @t608 () (_ @t229 tptp.sh)) % 0.39/0.80 (define @t609 () (lambda @t225 @t304)) % 0.39/0.80 (define @t610 () (_ @t305 tptp.id)) % 0.39/0.80 (define @t611 () (_ (_ @t606 @t5) tptp.id)) % 0.39/0.80 (define @t612 () (= (_ @t610 @t229) (_ @t611 @t2))) % 0.39/0.80 (define @t613 () (not @t612)) % 0.39/0.80 (define @t614 () (forall @t110 @t613)) % 0.39/0.80 (define @t615 () (=> @t223 @t614)) % 0.39/0.80 (define @t616 () (forall @t225 @t615)) % 0.39/0.80 (define @t617 () (or @t327 @t326 @t325)) % 0.39/0.80 (define @t618 () (or @t319 @t617)) % 0.39/0.80 (define @t619 () (forall @t329 @t618)) % 0.39/0.80 (define @t620 () (@list @t324 @t323 @t322)) % 0.39/0.80 (define @t621 () (forall @t620 @t618)) % 0.39/0.80 (define @t622 () (forall @t620 @t617)) % 0.39/0.80 (define @t623 () (@var "BOUND_VARIABLE_9563" tptp.term)) % 0.39/0.80 (define @t624 () (@var "BOUND_VARIABLE_9561" tptp.subst)) % 0.39/0.80 (define @t625 () (or @t319 @t622)) % 0.39/0.80 (define @t626 () (= (_ @t200 @t624 @t623) (_ @t198 @t624 @t623))) % 0.39/0.80 (define @t627 () (_ @t198 tptp.sh tptp.one)) % 0.39/0.80 (define @t628 () (tptp.lam @t627)) % 0.39/0.80 (define @t629 () (not (= @t312 @t628))) % 0.39/0.80 (define @t630 () (_ @t198 @t314 @t313)) % 0.39/0.80 (define @t631 () (_ @t198 @t1 @t5)) % 0.39/0.80 (define @t632 () (tptp.sub @t631 @t37)) % 0.39/0.80 (define @t633 () (forall @t215 (= @t632 @t630))) % 0.39/0.80 (define @t634 () (not @t633)) % 0.39/0.80 (define @t635 () (or @t634 @t629 @t626)) % 0.39/0.80 (define @t636 () (forall (@list @t198 @t624 @t623) @t635)) % 0.39/0.80 (define @t637 () (@list @t624 @t623)) % 0.39/0.80 (define @t638 () (forall @t637 @t635)) % 0.39/0.80 (define @t639 () (forall @t637 @t626)) % 0.39/0.80 (define @t640 () (or @t634 @t629 @t639)) % 0.39/0.80 (define @t641 () (forall @t204 (= @t316 @t631))) % 0.39/0.80 (define @t642 () (_ @t198 tptp.sh)) % 0.39/0.80 (define @t643 () (_ @t642 tptp.one)) % 0.39/0.80 (define @t644 () (_ tptp.lam @t643)) % 0.39/0.80 (define @t645 () (= @t304 @t644)) % 0.39/0.80 (define @t646 () (not @t645)) % 0.39/0.80 (define @t647 () (or @t634 @t646 @t641)) % 0.39/0.80 (define @t648 () (=> @t645 @t641)) % 0.39/0.80 (define @t649 () (lambda @t23 (_ @t642 @t5))) % 0.39/0.80 (define @t650 () (_ @t206 tptp.sh)) % 0.39/0.80 (define @t651 () (lambda @t23 (_ @t292 @t5))) % 0.39/0.80 (define @t652 () (_ @t208 tptp.sh)) % 0.39/0.80 (define @t653 () (= (_ @t610 @t208) (_ @t610 @t206))) % 0.39/0.80 (define @t654 () (=> @t653 @t205)) % 0.39/0.80 (define @t655 () (=> @t216 @t654)) % 0.39/0.80 (define @t656 () (forall @t218 @t655)) % 0.39/0.80 (define @t657 () (=> @t223 @t656)) % 0.39/0.80 (define @t658 () (forall @t225 @t657)) % 0.39/0.80 (define @t659 () (_ @t3 tptp.id)) % 0.39/0.80 (define @t660 () (_ tptp.ap @t659)) % 0.39/0.80 (define @t661 () (_ @t660 @t96)) % 0.39/0.80 (define @t662 () (_ @t599 @t99)) % 0.39/0.80 (define @t663 () (= @t662 @t661)) % 0.39/0.80 (define @t664 () (not @t663)) % 0.39/0.80 (define @t665 () (or @t664 @t105)) % 0.39/0.80 (define @t666 () (@var "BOUND_VARIABLE_9440" tptp.term)) % 0.39/0.80 (define @t667 () (lambda (@list @t666) (_ @t660 @t666))) % 0.39/0.80 (define @t668 () (lambda (@list @t37 @t666) (_ (_ tptp.ap (_ @t3 @t37)) @t666))) % 0.39/0.80 (define @t669 () (@list @t2)) % 0.39/0.80 (define @t670 () (= (_ @t611 @t99) (_ (_ (_ @t606 @t2) tptp.id) @t96))) % 0.39/0.80 (define @t671 () (=> @t670 @t105)) % 0.39/0.80 (define @t672 () (forall @t102 @t671)) % 0.39/0.80 (define @t673 () (or @t664 @t95)) % 0.39/0.80 (define @t674 () (=> @t670 @t95)) % 0.39/0.80 (define @t675 () (forall @t102 @t674)) % 0.39/0.80 (define @t676 () (= @t5 @t22)) % 0.39/0.80 (define @t677 () (= @t1 @t67)) % 0.39/0.80 (define @t678 () (= @t1 @t45)) % 0.39/0.80 (define @t679 () (@list @t344)) % 0.39/0.80 (define @t680 () (forall @t679 @t562)) % 0.39/0.80 (define @t681 () (forall @t679 @t345)) % 0.39/0.80 (define @t682 () (@list @t5)) % 0.39/0.80 (define @t683 () (or @t360 @t356 @t561 @t681)) % 0.39/0.80 (define @t684 () (forall @t23 @t353)) % 0.39/0.80 (define @t685 () (or @t360 @t356 @t561 @t684)) % 0.39/0.80 (define @t686 () (or @t356 @t561 @t684)) % 0.39/0.80 (define @t687 () (=> @t560 @t684)) % 0.39/0.80 (define @t688 () (=> @t355 @t687)) % 0.39/0.80 (define @t689 () (or @t558 @t132)) % 0.39/0.80 (define @t690 () (not @t136)) % 0.39/0.80 (define @t691 () (or @t690 @t170)) % 0.39/0.80 (define @t692 () (not @t84)) % 0.39/0.80 (define @t693 () (or @t692 @t690 @t135)) % 0.39/0.80 (define @t694 () (not @t80)) % 0.39/0.80 (define @t695 () (or @t694 @t84)) % 0.39/0.80 (define @t696 () (or @t367 @t364)) % 0.39/0.80 (define @t697 () (or @t356 @t561 @t696)) % 0.39/0.80 (define @t698 () (forall @t368 @t697)) % 0.39/0.80 (define @t699 () (@list @t363 @t362)) % 0.39/0.80 (define @t700 () (forall @t699 @t697)) % 0.39/0.80 (define @t701 () (forall @t699 @t696)) % 0.39/0.80 (define @t702 () (or @t356 @t561 @t701)) % 0.39/0.80 (define @t703 () (_ @t83 @t335)) % 0.39/0.80 (define @t704 () (forall @t19 (or @t376 @t703))) % 0.39/0.80 (define @t705 () (or @t356 @t561 @t704)) % 0.39/0.80 (define @t706 () (=> @t560 @t704)) % 0.39/0.80 (define @t707 () (or @t376 @t165)) % 0.39/0.80 (define @t708 () (not @t153)) % 0.39/0.80 (define @t709 () (or @t708 @t152)) % 0.39/0.80 (define @t710 () (or @t372 @t371)) % 0.39/0.80 (define @t711 () (or @t376 @t354 @t710)) % 0.39/0.80 (define @t712 () (forall @t378 @t711)) % 0.39/0.80 (define @t713 () (@list @t370)) % 0.39/0.80 (define @t714 () (forall @t713 @t711)) % 0.39/0.80 (define @t715 () (forall @t713 @t710)) % 0.39/0.80 (define @t716 () (or @t376 @t354 @t715)) % 0.39/0.80 (define @t717 () (tptp.sub @t2 @t369)) % 0.39/0.80 (define @t718 () (_ @t83 @t717)) % 0.39/0.80 (define @t719 () (forall @t154 (or @t366 @t718))) % 0.39/0.80 (define @t720 () (or @t376 @t692 @t719)) % 0.39/0.80 (define @t721 () (=> @t84 @t719)) % 0.39/0.80 (define @t722 () (or @t708 @t157)) % 0.39/0.80 (define @t723 () (@list @t380)) % 0.39/0.80 (define @t724 () (forall @t723 @t384)) % 0.39/0.80 (define @t725 () (forall @t723 @t381)) % 0.39/0.80 (define @t726 () (or @t360 @t356 @t383 @t725)) % 0.39/0.80 (define @t727 () (or @t360 @t356 @t383 @t684)) % 0.39/0.80 (define @t728 () (or @t356 @t383 @t684)) % 0.39/0.80 (define @t729 () (=> @t382 @t684)) % 0.39/0.80 (define @t730 () (=> @t355 @t729)) % 0.39/0.80 (define @t731 () (or @t692 @t132)) % 0.39/0.80 (define @t732 () (not @t114)) % 0.39/0.80 (define @t733 () (or @t732 @t95)) % 0.39/0.80 (define @t734 () (not @t109)) % 0.39/0.80 (define @t735 () (or @t734 @t95)) % 0.39/0.80 (define @t736 () (not @t101)) % 0.39/0.80 (define @t737 () (or @t736 @t105)) % 0.39/0.80 (define @t738 () (or @t736 @t95)) % 0.39/0.80 (define @t739 () (or @t404 @t403)) % 0.39/0.80 (define @t740 () (or @t409 @t407 @t739)) % 0.39/0.80 (define @t741 () (forall @t411 @t740)) % 0.39/0.80 (define @t742 () (@list @t402)) % 0.39/0.80 (define @t743 () (forall @t742 @t740)) % 0.39/0.80 (define @t744 () (forall @t742 @t739)) % 0.39/0.80 (define @t745 () (or @t409 @t407 @t744)) % 0.39/0.80 (define @t746 () (not @t90)) % 0.39/0.80 (define @t747 () (or @t746 @t407 @t359)) % 0.39/0.80 (define @t748 () (=> @t406 @t359)) % 0.39/0.80 (define @t749 () (or @t694 @t692 @t86)) % 0.39/0.80 (define @t750 () (or @t694 @t79)) % 0.39/0.80 (define @t751 () (= @t1 @t74)) % 0.39/0.80 (define @t752 () (= @t1 @t50)) % 0.39/0.80 (define @t753 () (= @t5 @t18)) % 0.39/0.80 (define @t754 () (@quantifiers_skolemize @t321 2)) % 0.39/0.80 (define @t755 () (tptp.sub (@quantifiers_skolemize @t321 1) @t309)) % 0.39/0.80 (define @t756 () (@quantifiers_skolemize @t321 0)) % 0.39/0.80 (define @t757 () (_ @t756 tptp.sh tptp.one)) % 0.39/0.80 (define @t758 () (= (tptp.lam @t757) (tptp.ap @t755 @t754))) % 0.39/0.80 (define @t759 () (not @t758)) % 0.39/0.80 (define @t760 () (or (not (forall @t215 (= (tptp.sub (_ @t756 @t1 @t5) @t37) (_ @t756 @t314 @t313)))) @t759)) % 0.39/0.80 (assume @p1 @t15) % 0.39/0.80 (assume @p2 @t21) % 0.39/0.80 (assume @p3 @t25) % 0.39/0.80 (assume @p4 @t36) % 0.39/0.80 (assume @p5 @t44) % 0.39/0.80 (assume @p6 @t48) % 0.39/0.80 (assume @p7 @t52) % 0.39/0.80 (assume @p8 @t60) % 0.39/0.80 (assume @p9 @t66) % 0.39/0.80 (assume @p10 @t69) % 0.39/0.80 (assume @p11 @t71) % 0.39/0.80 (assume @p12 @t76) % 0.39/0.80 (assume @p13 (= tptp.ulamvar1 @t77)) % 0.39/0.80 (assume @p14 @t82) % 0.39/0.80 (assume @p15 @t94) % 0.39/0.80 (assume @p16 @t104) % 0.39/0.80 (assume @p17 @t107) % 0.39/0.80 (assume @p18 @t112) % 0.39/0.80 (assume @p19 @t116) % 0.39/0.80 (assume @p20 @t122) % 0.39/0.80 (assume @p21 @t126) % 0.39/0.80 (assume @p22 @t130) % 0.39/0.80 (assume @p23 @t142) % 0.39/0.80 (assume @p24 (= tptp.pushprop_lem0 (forall @t146 (exists @t145 @t144)))) % 0.39/0.80 (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))))))))))))))))))))))))) % 0.39/0.80 (assume @p26 (= tptp.pushprop_lem0_lthm tptp.pushprop_lem0)) % 0.39/0.80 (assume @p27 (= tptp.pushprop_lem1 (forall (@list @t83 @t148 @t5 @t1 @t2) (=> @t84 (_ @t148 (_ @t6 (_ @t147 @t1))))))) % 0.39/0.80 (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))))))))))))))))))))))))) % 0.39/0.80 (assume @p29 (= tptp.pushprop_lem1_lthm (=> tptp.axvarcons (=> tptp.axclos (=> tptp.axshiftcons (=> tptp.ulamvarind tptp.pushprop_lem1)))))) % 0.39/0.80 (assume @p30 (= tptp.pushprop_lem1v2 (forall @t149 (=> @t84 (=> @t144 (_ @t143 tptp.one)))))) % 0.39/0.80 (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))))))))))))))))))))))))) % 0.39/0.80 (assume @p32 (= tptp.pushprop_lem1v2_lthm (=> tptp.axvarcons tptp.pushprop_lem1v2))) % 0.39/0.80 (assume @p33 (= tptp.pushprop_lem2v2 (forall @t149 (=> @t144 (=> @t155 (forall @t151 (=> (_ tptp.var @t99) (=> (_ @t143 @t99) (_ @t143 (_ @t150 tptp.sh)))))))))) % 0.39/0.80 (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))))))))))))))))))))))))) % 0.39/0.80 (assume @p35 (= tptp.pushprop_lem2v2_lthm (=> tptp.axclos (=> tptp.axshiftcons tptp.pushprop_lem2v2)))) % 0.39/0.80 (assume @p36 (= tptp.pushprop_lem3v2 (forall @t149 (=> @t144 (=> (forall @t154 (=> @t153 @t159)) @t158))))) % 0.39/0.80 (assume @p37 (= tptp.pushprop_lem3v2_lthm tptp.pushprop_lem3v2)) % 0.39/0.80 (assume @p38 @t163) % 0.39/0.80 (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))))))))))))))))))))))))) % 0.39/0.80 (assume @p40 (= tptp.pushprop_lthm_orig @t164)) % 0.39/0.80 (assume @p41 (= tptp.pushprop_lthm (=> tptp.pushprop_lem0 @t164))) % 0.39/0.80 (assume @p42 @t177) % 0.39/0.80 (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)))))))))))))))))))))))) % 0.39/0.80 (assume @p44 (= tptp.induction2lem_lthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axabs (=> tptp.axclos (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr @t178)))))))))) % 0.39/0.80 (assume @p45 @t183) % 0.39/0.80 (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)))))))))))))))))))))))))) % 0.39/0.80 (assume @p47 (= tptp.induction2_lthm (=> tptp.axvarid @t184))) % 0.39/0.80 (assume @p48 @t186) % 0.39/0.80 (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)))))))))))))))))))))))))))) % 0.39/0.80 (assume @p50 (= tptp.substmonoid_lthm (=> tptp.axidl (=> tptp.axassoc (=> tptp.axidr tptp.substmonoid))))) % 0.39/0.80 (assume @p51 @t188) % 0.39/0.80 (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))))))))))))))))))))))))))))) % 0.39/0.80 (assume @p53 (= tptp.termmset_lthm (=> tptp.axvarid (=> tptp.axclos tptp.termmset)))) % 0.39/0.80 (assume @p54 @t194) % 0.39/0.80 (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)))))))))))))))))))))))))))))) % 0.39/0.80 (assume @p56 (= tptp.hoasapinj1_lthm (=> tptp.axvarid (=> tptp.apinj1 tptp.hoasapinj1)))) % 0.39/0.80 (assume @p57 @t197) % 0.39/0.80 (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))))))))))))))))))))))))))))))) % 0.39/0.80 (assume @p59 (= tptp.hoasapinj2_lthm (=> tptp.apinj2 tptp.hoasapinj2))) % 0.39/0.80 (assume @p60 @t227) % 0.39/0.80 (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)))))))))))))))))))))))))))))))) % 0.39/0.80 (assume @p62 (= tptp.hoaslaminj_lthm (=> tptp.axvarcons (=> tptp.axshiftcons (=> tptp.laminj tptp.hoaslaminj))))) % 0.39/0.80 (assume @p63 @t235) % 0.39/0.80 (assume @p64 @t267) % 0.39/0.80 (assume @p65 (= tptp.hoaslamnotap_lthm (=> tptp.lamnotap tptp.hoaslamnotap))) % 0.39/0.80 (assume @p66 (= tptp.hoaslamnotvar (forall @t225 (=> @t223 (not (_ (_ @t268 @t209) tptp.id)))))) % 0.39/0.80 (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)))))))))))))))))))))))))))))))))) % 0.39/0.80 (assume @p68 (= tptp.hoaslamnotvar_lthm (=> tptp.axvarid (=> tptp.lamnotvar tptp.hoaslamnotvar)))) % 0.39/0.80 (assume @p69 (= tptp.hoasapnotvar (forall @t110 (not (_ (_ @t268 @t228) tptp.id))))) % 0.39/0.80 (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))))))))))))))))))))))))))))))))))) % 0.39/0.80 (assume @p71 (= tptp.hoasapnotvar_lthm (=> tptp.axvarid (=> tptp.apnotvar tptp.hoasapnotvar)))) % 0.39/0.80 (assume @p72 (= tptp.hoasinduction_lem0 (forall @t271 (exists @t145 @t270)))) % 0.39/0.80 (assume @p73 (= tptp.hoasinduction_lem0_lthm tptp.hoasinduction_lem0)) % 0.39/0.80 (assume @p74 (= tptp.hoasinduction_lem1v2 (forall @t281 (=> @t280 (=> @t279 (=> @t275 (=> @t270 (forall @t23 (=> @t80 @t272))))))))) % 0.39/0.80 (assume @p75 (= tptp.hoasinduction_lem1v2_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction (=> tptp.pushprop (=> tptp.induction2lem (=> tptp.induction2 (=> tptp.substmonoid (=> tptp.termmset (=> tptp.hoasapinj1 (=> tptp.hoasapinj2 (=> tptp.hoaslaminj (=> tptp.hoaslamnotap (=> tptp.hoaslamnotvar (=> tptp.hoasapnotvar tptp.hoasinduction_lem1v2)))))))))))))))))))))))))))))))))))) % 0.39/0.80 (assume @p76 (= tptp.hoasinduction_lem2v2 (forall @t281 (=> @t280 (=> @t279 (=> @t283 (=> @t270 (forall @t110 (=> @t272 (=> @t159 (_ @t143 @t10))))))))))) % 0.39/0.80 (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)))))))))))))))))))))))))))))))))))) % 0.39/0.80 (assume @p78 (= tptp.hoasinduction_lem3v2_f (forall @t154 (exists @t225 (forall @t19 (= @t202 @t156)))))) % 0.39/0.80 (assume @p79 (= tptp.hoasinduction_lem3v2_f_lthm tptp.hoasinduction_lem3v2_f)) % 0.39/0.80 (assume @p80 (= tptp.hoasinduction_lem3v2 (forall @t281 (=> @t280 (=> @t279 @t286))))) % 0.39/0.80 (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)))))))))))))))))))))))))))))))))))) % 0.39/0.80 (assume @p82 (= tptp.hoasinduction_lem3v2_lthm (=> tptp.axvarid (=> tptp.axvarshift (=> tptp.axclos (=> tptp.axmap tptp.hoasinduction_lem3v2)))))) % 0.39/0.80 (assume @p83 (= tptp.hoasinduction_lem3v2a (forall @t281 @t286))) % 0.39/0.80 (assume @p84 (= tptp.hoasinduction_lem3v2a_lthm (=> tptp.hoasinduction_lem3v2_f (=> tptp.axvarid (=> tptp.axvarshift (=> tptp.axclos (=> tptp.axmap tptp.hoasinduction_lem3v2a))))))) % 0.39/0.80 (assume @p85 (= tptp.hoasinduction_lem1 (forall @t271 (=> @t280 (=> @t279 (=> @t275 (forall @t23 (=> @t80 @t274)))))))) % 0.39/0.80 (assume @p86 (= tptp.hoasinduction_lem1_gthm @t287)) % 0.39/0.80 (assume @p87 (= tptp.hoasinduction_lem1_lthm @t287)) % 0.39/0.80 (assume @p88 (= tptp.hoasinduction_lem2 (forall @t271 (=> @t280 (=> @t279 (=> @t283 (forall @t110 (=> @t274 (=> @t282 (_ (_ @t273 @t10) tptp.id)))))))))) % 0.39/0.80 (assume @p89 (= tptp.hoasinduction_lem2_gthm @t288)) % 0.39/0.80 (assume @p90 (= tptp.hoasinduction_lem2_lthm @t288)) % 0.39/0.80 (assume @p91 (= tptp.hoasinduction_lem3aa (forall @t271 (=> @t285 @t290)))) % 0.39/0.80 (assume @p92 (= tptp.hoasinduction_lem3aa_lthm (=> tptp.axclos (=> tptp.axmap tptp.hoasinduction_lem3aa)))) % 0.39/0.80 (assume @p93 (= tptp.hoasinduction_lem3aaa (forall @t271 (=> (forall @t225 (=> (exists @t151 (forall @t215 (and (= @t221 (_ (_ tptp.sub (_ @t150 @t16)) @t37)) (= (_ @t150 @t62) @t220)))) @t284)) @t290)))) % 0.39/0.80 (assume @p94 (= tptp.hoasinduction_lem3 (forall @t271 (=> @t280 (=> @t279 @t291))))) % 0.39/0.80 (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)))))))))))))))))))))))))))))))))))))) % 0.39/0.80 (assume @p96 (= tptp.hoasinduction_lem3_lthm (=> tptp.axvarid (=> tptp.axvarshift (=> tptp.hoasinduction_lem3aa tptp.hoasinduction_lem3))))) % 0.39/0.80 (assume @p97 (= tptp.hoasinduction_lem3a (forall @t271 @t291))) % 0.39/0.80 (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)))))))))))))))))))))))))))))))))))))) % 0.39/0.80 (assume @p99 (= tptp.hoasinduction_lem3a_lthm (=> tptp.axvarid (=> tptp.axvarshift (=> tptp.hoasinduction_lem3aa tptp.hoasinduction_lem3a))))) % 0.39/0.80 (assume @p100 (= tptp.hoasinduction_lem3b (forall @t154 (exists @t225 (= (_ @t3 @t70) @t293))))) % 0.39/0.80 (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)))))))))))))))))))))))))))))))))))))) % 0.39/0.80 (assume @p102 (= tptp.hoasinduction_lem3b_lthm tptp.hoasinduction_lem3b)) % 0.39/0.80 (assume @p103 (= tptp.hoasinduction (forall @t271 (=> @t280 (=> @t279 (=> @t275 @t294)))))) % 0.39/0.80 (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 @t295)))))))))))))))))))))))))))))))))))) % 0.39/0.80 (assume @p105 (= tptp.hoasinduction_lthm (=> tptp.induction2 @t295))) % 0.39/0.80 (assume @p106 (= tptp.hoasinduction_lthm_3 (=> tptp.hoasinduction_lem0 (=> tptp.induction2 (=> tptp.axvarid (=> tptp.hoasinduction_lem3v2a tptp.hoasinduction)))))) % 0.39/0.80 (assume @p107 (= tptp.hoasinduction_no_psi_cond (forall @t271 @t294))) % 0.39/0.80 (assume @p108 (= tptp.hoasinduction_no_psi_cond_lthm (=> tptp.hoasinduction_lem0 (=> tptp.induction2 (=> tptp.axvarid (=> tptp.hoasinduction_lem3v2a tptp.hoasinduction_no_psi_cond)))))) % 0.39/0.80 (assume @p109 @t296) % 0.39/0.80 (assume @p110 true) % 0.39/0.80 (step @p111 (= tptp.pushprop_p_and_p_prime @t300) :rule refl :args (@t300)) % 0.39/0.80 (step @p112 (= tptp.hoasap @t303) :rule refl :args (@t303)) % 0.39/0.80 (step @p113 (= tptp.hoaslam @t305) :rule refl :args (@t305)) % 0.39/0.80 (step @p114 (= tptp.hoasvar @t306) :rule refl :args (@t306)) % 0.39/0.80 (step @p115 (= tptp.hoasinduction_p_and_p_prime @t307) :rule refl :args (@t307)) % 0.39/0.80 (step @p116 :rule refl :args (@t415)) % 0.39/0.80 (step @p117 :rule refl :args (@t416)) % 0.39/0.80 (step @p118 :rule refl :args (@t77)) % 0.39/0.80 (step @p119 :rule cong :premises (@p118 @p117) :args ((= @t77 @t416))) % 0.39/0.80 (step @p120 :rule symm :premises (@p119)) % 0.39/0.80 (step @p121 :rule eq_resolve :premises (@p118 @p120)) % 0.39/0.80 (step @p122 :rule cong :premises (@p121 @p116) :args (@t417)) % 0.39/0.80 (step @p123 :rule refl :args (@t421)) % 0.39/0.80 (step @p124 :rule cong :premises (@p123 @p122) :args (@t422)) % 0.39/0.80 (step @p125 :rule refl :args (@t338)) % 0.39/0.80 (step @p126 :rule cong :premises (@p125 @p124) :args (@t423)) % 0.39/0.80 (step @p127 :rule refl :args (@t426)) % 0.39/0.80 (step @p128 :rule cong :premises (@p127 @p126) :args (@t427)) % 0.39/0.80 (step @p129 :rule refl :args (@t343)) % 0.39/0.80 (step @p130 :rule cong :premises (@p129 @p128) :args (@t428)) % 0.39/0.80 (step @p131 :rule refl :args (@t430)) % 0.39/0.80 (step @p132 :rule cong :premises (@p131 @p130) :args (@t431)) % 0.39/0.80 (step @p133 :rule refl :args (@t339)) % 0.39/0.80 (step @p134 :rule cong :premises (@p133 @p132) :args (@t432)) % 0.39/0.80 (step @p135 :rule refl :args (@t337)) % 0.39/0.80 (step @p136 :rule cong :premises (@p135 @p134) :args (@t433)) % 0.39/0.80 (step @p137 :rule refl :args (@t439)) % 0.39/0.80 (step @p138 :rule cong :premises (@p137 @p136) :args (@t440)) % 0.39/0.80 (step @p139 :rule refl :args (@t333)) % 0.39/0.80 (step @p140 :rule cong :premises (@p139 @p138) :args (@t441)) % 0.39/0.80 (step @p141 :rule refl :args (@t443)) % 0.39/0.80 (step @p142 :rule cong :premises (@p141 @p140) :args (@t444)) % 0.39/0.80 (step @p143 :rule refl :args (@t447)) % 0.39/0.80 (step @p144 :rule cong :premises (@p143 @p142) :args (@t448)) % 0.39/0.80 (step @p145 :rule cong :premises (@p144) :args ((not @t448))) % 0.39/0.80 (step @p146 :rule bool-impl-true2 :args (@t422)) % 0.39/0.80 (step @p147 :rule refl :args (@t308)) % 0.39/0.80 (step @p148 :rule refl :args (@t309)) % 0.39/0.80 (step @p149 :rule refl :args (@t70)) % 0.39/0.80 (step @p150 :rule cong :premises (@p149 @p148) :args ((= @t70 @t309))) % 0.39/0.80 (step @p151 :rule symm :premises (@p150)) % 0.39/0.80 (step @p152 :rule eq_resolve :premises (@p149 @p151)) % 0.39/0.80 (step @p153 :rule refl :args (@t310)) % 0.39/0.80 (step @p154 :rule cong :premises (@p153 @p152) :args (@t449)) % 0.39/0.80 (step @p155 :rule cong :premises (@p154 @p147) :args (@t450)) % 0.39/0.80 (step @p156 :rule refl :args (@t312)) % 0.39/0.80 (step @p157 :rule cong :premises (@p156 @p155) :args (@t451)) % 0.39/0.80 (step @p158 :rule cong :premises (@p157) :args (@t452)) % 0.39/0.80 (step @p159 :rule refl :args (@t319)) % 0.39/0.80 (step @p160 :rule nary_cong :premises (@p159 @p158) :args (@t453)) % 0.39/0.80 (step @p161 :rule cong :premises (@p160) :args (@t454)) % 0.39/0.80 (step @p162 :rule refl :args (@t330)) % 0.39/0.80 (step @p163 :rule cong :premises (@p162 @p161) :args (@t455)) % 0.39/0.80 (step @p164 :rule refl :args (@t105)) % 0.39/0.80 (step @p165 :rule refl :args (@t99)) % 0.39/0.80 (step @p166 :rule refl :args (@t5)) % 0.39/0.80 (step @p167 :rule cong :premises (@p166 @p152) :args (@t456)) % 0.39/0.80 (step @p168 :rule cong :premises (@p167 @p165) :args (@t457)) % 0.39/0.80 (step @p169 :rule refl :args (@t96)) % 0.39/0.80 (step @p170 :rule refl :args (@t2)) % 0.39/0.80 (step @p171 :rule cong :premises (@p170 @p152) :args (@t458)) % 0.39/0.80 (step @p172 :rule cong :premises (@p171 @p169) :args (@t459)) % 0.39/0.80 (step @p173 :rule cong :premises (@p172 @p168) :args (@t460)) % 0.39/0.80 (step @p174 :rule cong :premises (@p173) :args (@t461)) % 0.39/0.80 (step @p175 :rule nary_cong :premises (@p174 @p164) :args (@t462)) % 0.39/0.80 (step @p176 :rule cong :premises (@p175) :args ((forall @t102 @t462))) % 0.39/0.80 (step @p177 :rule refl :args (@t105)) % 0.39/0.80 (step @p178 :rule eq-symm :args (@t457 @t459)) % 0.39/0.80 (step @p179 :rule cong :premises (@p178) :args (@t463)) % 0.39/0.80 (step @p180 :rule nary_cong :premises (@p179 @p177) :args (@t464)) % 0.39/0.80 (step @p181 :rule cong :premises (@p180) :args (@t465)) % 0.39/0.80 (step @p182 :rule trans :premises (@p181 @p176)) % 0.39/0.80 (step @p183 :rule cong :premises (@p182 @p163) :args (@t466)) % 0.39/0.80 (step @p184 :rule refl :args (@t95)) % 0.39/0.80 (step @p185 :rule nary_cong :premises (@p174 @p184) :args (@t467)) % 0.39/0.80 (step @p186 :rule cong :premises (@p185) :args ((forall @t102 @t467))) % 0.39/0.80 (step @p187 :rule refl :args (@t95)) % 0.39/0.80 (step @p188 :rule nary_cong :premises (@p179 @p187) :args (@t468)) % 0.39/0.80 (step @p189 :rule cong :premises (@p188) :args (@t469)) % 0.39/0.80 (step @p190 :rule trans :premises (@p189 @p186)) % 0.39/0.80 (step @p191 :rule cong :premises (@p190 @p183) :args (@t470)) % 0.39/0.80 (step @p192 :rule cong :premises (@p166 @p167) :args (@t471)) % 0.39/0.80 (step @p193 :rule cong :premises (@p192) :args (@t472)) % 0.39/0.80 (step @p194 :rule nary_cong :premises (@p135 @p193) :args (@t473)) % 0.39/0.80 (step @p195 :rule cong :premises (@p194 @p191) :args (@t474)) % 0.39/0.80 (step @p196 :rule refl :args (@t1)) % 0.39/0.80 (step @p197 :rule cong :premises (@p196 @p152) :args (@t475)) % 0.39/0.80 (step @p198 :rule cong :premises (@p196 @p197) :args (@t476)) % 0.39/0.80 (step @p199 :rule cong :premises (@p198) :args (@t477)) % 0.39/0.80 (step @p200 :rule cong :premises (@p152 @p196) :args (@t478)) % 0.39/0.80 (step @p201 :rule cong :premises (@p196 @p200) :args (@t479)) % 0.39/0.80 (step @p202 :rule cong :premises (@p201) :args (@t480)) % 0.39/0.80 (step @p203 :rule nary_cong :premises (@p129 @p202 @p199) :args (@t481)) % 0.39/0.80 (step @p204 :rule cong :premises (@p203 @p195) :args (@t482)) % 0.39/0.80 (step @p205 :rule refl :args (@t345)) % 0.39/0.80 (step @p206 :rule refl :args (@t347)) % 0.39/0.80 (step @p207 :rule cong :premises (@p170 @p152) :args (@t483)) % 0.39/0.80 (step @p208 :rule cong :premises (@p166 @p207) :args (@t484)) % 0.39/0.80 (step @p209 :rule cong :premises (@p208) :args (@t485)) % 0.39/0.80 (step @p210 :rule refl :args (@t349)) % 0.39/0.80 (step @p211 :rule nary_cong :premises (@p210 @p209) :args (@t486)) % 0.39/0.80 (step @p212 :rule cong :premises (@p211) :args (@t487)) % 0.39/0.80 (step @p213 :rule cong :premises (@p212) :args (@t488)) % 0.39/0.80 (step @p214 :rule nary_cong :premises (@p213 @p206) :args (@t489)) % 0.39/0.80 (step @p215 :rule cong :premises (@p214) :args (@t490)) % 0.39/0.80 (step @p216 :rule cong :premises (@p215) :args (@t491)) % 0.39/0.80 (step @p217 :rule refl :args (@t356)) % 0.39/0.80 (step @p218 :rule refl :args (@t360)) % 0.39/0.80 (step @p219 :rule nary_cong :premises (@p218 @p217 @p216 @p205) :args (@t492)) % 0.39/0.80 (step @p220 :rule cong :premises (@p219) :args (@t493)) % 0.39/0.80 (step @p221 :rule cong :premises (@p220 @p204) :args (@t494)) % 0.39/0.80 (step @p222 :rule refl :args (@t364)) % 0.39/0.80 (step @p223 :rule refl :args (@t367)) % 0.39/0.80 (step @p224 :rule nary_cong :premises (@p217 @p216 @p223 @p222) :args (@t495)) % 0.39/0.80 (step @p225 :rule cong :premises (@p224) :args (@t496)) % 0.39/0.80 (step @p226 :rule cong :premises (@p225 @p221) :args (@t497)) % 0.39/0.80 (step @p227 :rule refl :args (@t379)) % 0.39/0.80 (step @p228 :rule cong :premises (@p227 @p226) :args (@t498)) % 0.39/0.80 (step @p229 :rule refl :args (@t385)) % 0.39/0.80 (step @p230 :rule cong :premises (@p229 @p228) :args (@t499)) % 0.39/0.80 (step @p231 :rule refl :args (@t387)) % 0.39/0.80 (step @p232 :rule cong :premises (@p231 @p230) :args (@t500)) % 0.39/0.80 (step @p233 :rule refl :args (@t389)) % 0.39/0.80 (step @p234 :rule cong :premises (@p233 @p232) :args (@t501)) % 0.39/0.80 (step @p235 :rule refl :args (@t391)) % 0.39/0.80 (step @p236 :rule cong :premises (@p235 @p234) :args (@t502)) % 0.39/0.80 (step @p237 :rule refl :args (@t394)) % 0.39/0.80 (step @p238 :rule cong :premises (@p237 @p236) :args (@t503)) % 0.39/0.80 (step @p239 :rule refl :args (@t396)) % 0.39/0.80 (step @p240 :rule cong :premises (@p239 @p238) :args (@t504)) % 0.39/0.80 (step @p241 :rule refl :args (@t400)) % 0.39/0.80 (step @p242 :rule cong :premises (@p241 @p240) :args (@t505)) % 0.39/0.80 (step @p243 :rule refl :args (@t401)) % 0.39/0.80 (step @p244 :rule cong :premises (@p243 @p242) :args (@t506)) % 0.39/0.80 (step @p245 :rule refl :args (@t412)) % 0.39/0.80 (step @p246 :rule cong :premises (@p245 @p244) :args (@t507)) % 0.39/0.80 (step @p247 :rule refl :args (@t414)) % 0.39/0.80 (step @p248 :rule cong :premises (@p247 @p246) :args (@t508)) % 0.39/0.80 (step @p249 :rule refl :args (@t77)) % 0.39/0.80 (step @p250 :rule cong :premises (@p249 @p248) :args (@t509)) % 0.39/0.80 (step @p251 :rule cong :premises (@p123 @p250) :args (@t510)) % 0.39/0.80 (step @p252 :rule eq-refl :args (@t70)) % 0.39/0.80 (step @p253 :rule cong :premises (@p252 @p251) :args (@t511)) % 0.39/0.80 (step @p254 :rule trans :premises (@p253 @p146)) % 0.39/0.80 (step @p255 :rule cong :premises (@p199 @p254) :args (@t512)) % 0.39/0.80 (step @p256 :rule cong :premises (@p127 @p255) :args (@t513)) % 0.39/0.80 (step @p257 :rule cong :premises (@p129 @p256) :args (@t514)) % 0.39/0.80 (step @p258 :rule cong :premises (@p131 @p257) :args (@t515)) % 0.39/0.80 (step @p259 :rule cong :premises (@p202 @p258) :args (@t516)) % 0.39/0.80 (step @p260 :rule cong :premises (@p135 @p259) :args (@t517)) % 0.39/0.80 (step @p261 :rule cong :premises (@p137 @p260) :args (@t518)) % 0.39/0.80 (step @p262 :rule cong :premises (@p193 @p261) :args (@t519)) % 0.39/0.80 (step @p263 :rule cong :premises (@p141 @p262) :args (@t520)) % 0.39/0.80 (step @p264 :rule cong :premises (@p143 @p263) :args (@t521)) % 0.39/0.80 (step @p265 :rule cong :premises (@p264) :args ((not @t521))) % 0.39/0.80 (step @p266 :rule refl :args (@t308)) % 0.39/0.80 (step @p267 :rule eq-symm :args (@t70 tptp.id)) % 0.39/0.80 (step @p268 :rule refl :args (tptp.axvarshift)) % 0.39/0.80 (step @p269 :rule cong :premises (@p268 @p267) :args (@t71)) % 0.39/0.80 (step @p270 :rule eq_resolve :premises (@p11 @p269)) % 0.39/0.80 (step @p271 :rule equiv_elim2 :premises (@p64)) % 0.39/0.80 (step @p272 :rule resolution :premises (@p271 @p109) :args (true tptp.hoaslamnotap_gthm)) % 0.39/0.80 (step @p273 :rule not_implies_elim2 :premises (@p272)) % 0.39/0.80 (step @p274 :rule not_implies_elim2 :premises (@p273)) % 0.39/0.80 (step @p275 :rule not_implies_elim2 :premises (@p274)) % 0.39/0.80 (step @p276 :rule not_implies_elim2 :premises (@p275)) % 0.39/0.80 (step @p277 :rule not_implies_elim2 :premises (@p276)) % 0.39/0.80 (step @p278 :rule not_implies_elim2 :premises (@p277)) % 0.39/0.80 (step @p279 :rule not_implies_elim2 :premises (@p278)) % 0.39/0.80 (step @p280 :rule not_implies_elim2 :premises (@p279)) % 0.39/0.80 (step @p281 :rule not_implies_elim2 :premises (@p280)) % 0.39/0.80 (step @p282 :rule not_implies_elim2 :premises (@p281)) % 0.39/0.80 (step @p283 :rule not_implies_elim1 :premises (@p282)) % 0.39/0.80 (step @p284 :rule eq_resolve :premises (@p283 @p270)) % 0.39/0.80 (step @p285 :rule refl :args (@t310)) % 0.39/0.80 (step @p286 :rule cong :premises (@p285 @p284) :args (@t522)) % 0.39/0.80 (step @p287 :rule cong :premises (@p286 @p266) :args (@t523)) % 0.39/0.80 (step @p288 :rule refl :args (@t312)) % 0.39/0.80 (step @p289 :rule cong :premises (@p288 @p287) :args (@t524)) % 0.39/0.80 (step @p290 :rule cong :premises (@p289) :args (@t525)) % 0.39/0.80 (step @p291 :rule refl :args (@t319)) % 0.39/0.80 (step @p292 :rule nary_cong :premises (@p291 @p290) :args (@t526)) % 0.39/0.80 (step @p293 :rule cong :premises (@p292) :args (@t527)) % 0.39/0.80 (step @p294 :rule cong :premises (@p162 @p293) :args (@t528)) % 0.39/0.80 (step @p295 :rule refl :args (@t96)) % 0.39/0.80 (step @p296 :rule refl :args (@t2)) % 0.39/0.80 (step @p297 :rule cong :premises (@p296 @p284) :args (@t529)) % 0.39/0.80 (step @p298 :rule cong :premises (@p297 @p295) :args (@t530)) % 0.39/0.80 (step @p299 :rule refl :args (@t99)) % 0.39/0.80 (step @p300 :rule refl :args (@t5)) % 0.39/0.80 (step @p301 :rule cong :premises (@p300 @p284) :args (@t531)) % 0.39/0.80 (step @p302 :rule cong :premises (@p301 @p299) :args (@t532)) % 0.39/0.80 (step @p303 :rule cong :premises (@p302 @p298) :args (@t533)) % 0.39/0.80 (step @p304 :rule cong :premises (@p303) :args (@t534)) % 0.39/0.80 (step @p305 :rule nary_cong :premises (@p304 @p177) :args (@t535)) % 0.39/0.80 (step @p306 :rule cong :premises (@p305) :args (@t536)) % 0.39/0.80 (step @p307 :rule cong :premises (@p306 @p294) :args (@t537)) % 0.39/0.80 (step @p308 :rule nary_cong :premises (@p304 @p187) :args (@t538)) % 0.39/0.80 (step @p309 :rule cong :premises (@p308) :args (@t539)) % 0.39/0.80 (step @p310 :rule cong :premises (@p309 @p307) :args (@t540)) % 0.39/0.80 (step @p311 :rule cong :premises (@p300 @p301) :args (@t541)) % 0.39/0.80 (step @p312 :rule cong :premises (@p311) :args (@t542)) % 0.39/0.80 (step @p313 :rule nary_cong :premises (@p135 @p312) :args (@t543)) % 0.39/0.80 (step @p314 :rule cong :premises (@p313 @p310) :args (@t544)) % 0.39/0.80 (step @p315 :rule refl :args (@t1)) % 0.39/0.80 (step @p316 :rule cong :premises (@p315 @p284) :args (@t545)) % 0.39/0.80 (step @p317 :rule cong :premises (@p315 @p316) :args (@t546)) % 0.39/0.80 (step @p318 :rule cong :premises (@p317) :args (@t547)) % 0.39/0.80 (step @p319 :rule cong :premises (@p284 @p315) :args (@t548)) % 0.39/0.80 (step @p320 :rule cong :premises (@p315 @p319) :args (@t549)) % 0.39/0.80 (step @p321 :rule cong :premises (@p320) :args (@t550)) % 0.39/0.80 (step @p322 :rule nary_cong :premises (@p129 @p321 @p318) :args (@t551)) % 0.39/0.80 (step @p323 :rule cong :premises (@p322 @p314) :args (@t552)) % 0.39/0.80 (step @p324 :rule cong :premises (@p296 @p284) :args (@t553)) % 0.39/0.80 (step @p325 :rule cong :premises (@p300 @p324) :args (@t554)) % 0.39/0.80 (step @p326 :rule cong :premises (@p325) :args (@t555)) % 0.39/0.80 (step @p327 :rule refl :args (@t349)) % 0.39/0.80 (step @p328 :rule nary_cong :premises (@p327 @p326) :args (@t556)) % 0.39/0.80 (step @p329 :rule cong :premises (@p328) :args (@t557)) % 0.39/0.80 (step @p330 :rule cong :premises (@p329) :args (@t558)) % 0.39/0.80 (step @p331 :rule nary_cong :premises (@p330 @p206) :args (@t559)) % 0.39/0.80 (step @p332 :rule cong :premises (@p331) :args (@t560)) % 0.39/0.80 (step @p333 :rule cong :premises (@p332) :args (@t561)) % 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eq_resolve :premises (@p2 @p1498)) % 0.39/0.80 (step @p1500 :rule cong :premises (@p1499 @p1480) :args (@t265)) % 0.39/0.80 (step @p1501 :rule refl :args ((tptp.ap @t7 @t4))) % 0.39/0.80 (step @p1502 :rule cong :premises (@p736 @p992) :args (@t445)) % 0.39/0.80 (step @p1503 :rule trans :premises (@p1502 @p1501)) % 0.39/0.80 (step @p1504 :rule ho_cong :premises (@p381 @p736)) % 0.39/0.80 (step @p1505 :rule ho_cong :premises (@p1504 @p992)) % 0.39/0.80 (step @p1506 :rule cong :premises (@p1505 @p1503) :args ((= (_ (_ tptp.ap @t335) @t373) @t445))) % 0.39/0.80 (step @p1507 :rule symm :premises (@p1506)) % 0.39/0.80 (step @p1508 :rule refl :args (@t8)) % 0.39/0.80 (step @p1509 :rule eq_resolve :premises (@p1508 @p1507)) % 0.39/0.80 (step @p1510 :rule ho_cong :premises (@p381 @p748)) % 0.39/0.80 (step @p1511 :rule ho_cong :premises (@p1510 @p1003)) % 0.39/0.80 (step @p1512 :rule trans :premises (@p1511 @p1509)) % 0.39/0.80 (step @p1513 :rule refl :args ((tptp.sub @t10 @t1))) % 0.39/0.80 (step @p1514 :rule cong :premises (@p910 @p196) :args (@t446)) % 0.39/0.80 (step @p1515 :rule trans :premises (@p1514 @p1513)) % 0.39/0.80 (step @p1516 :rule ho_cong :premises (@p470 @p910)) % 0.39/0.80 (step @p1517 :rule ho_cong :premises (@p1516 @p196)) % 0.39/0.80 (step @p1518 :rule cong :premises (@p1517 @p1515) :args ((= (_ (_ tptp.sub @t351) @t1) @t446))) % 0.39/0.80 (step @p1519 :rule symm :premises (@p1518)) % 0.39/0.80 (step @p1520 :rule refl :args (@t11)) % 0.39/0.80 (step @p1521 :rule eq_resolve :premises (@p1520 @p1519)) % 0.39/0.80 (step @p1522 :rule ho_cong :premises (@p470 @p921)) % 0.39/0.80 (step @p1523 :rule ho_cong :premises (@p1522 @p196)) % 0.39/0.80 (step @p1524 :rule trans :premises (@p1523 @p1521)) % 0.39/0.80 (step @p1525 :rule cong :premises (@p1524 @p1512) :args (@t12)) % 0.39/0.80 (step @p1526 :rule cong :premises (@p1525) :args (@t14)) % 0.39/0.80 (step @p1527 :rule refl :args (tptp.axapp)) % 0.39/0.80 (step @p1528 :rule cong :premises (@p1527 @p1526) :args (@t15)) % 0.39/0.80 (step @p1529 :rule eq_resolve :premises (@p1 @p1528)) % 0.39/0.80 (step @p1530 :rule cong :premises (@p1529 @p1500) :args (@t266)) % 0.39/0.80 (step @p1531 :rule refl :args (tptp.hoaslamnotap_gthm)) % 0.39/0.80 (step @p1532 :rule cong :premises (@p1531 @p1530) :args (@t267)) % 0.39/0.80 (step @p1533 :rule eq_resolve :premises (@p64 @p1532)) % 0.39/0.80 (step @p1534 :rule trans :premises (@p1533 @p365)) % 0.39/0.80 (step @p1535 :rule cong :premises (@p1534) :args (@t296)) % 0.39/0.80 (step @p1536 :rule trans :premises (@p1535 @p265)) % 0.39/0.80 (step @p1537 :rule trans :premises (@p1536 @p145)) % 0.39/0.80 (step @p1538 :rule eq_resolve :premises (@p109 @p1537)) % 0.39/0.80 (step @p1539 :rule not_implies_elim2 :premises (@p1538)) % 0.39/0.80 (step @p1540 :rule not_implies_elim2 :premises (@p1539)) % 0.39/0.80 (step @p1541 :rule not_implies_elim2 :premises (@p1540)) % 0.39/0.80 (step @p1542 :rule not_implies_elim2 :premises (@p1541)) % 0.39/0.80 (step @p1543 :rule not_implies_elim2 :premises (@p1542)) % 0.39/0.80 (step @p1544 :rule not_implies_elim2 :premises (@p1543)) % 0.39/0.80 (step @p1545 :rule not_implies_elim2 :premises (@p1544)) % 0.39/0.80 (step @p1546 :rule not_implies_elim2 :premises (@p1545)) % 0.39/0.80 (step @p1547 :rule not_implies_elim2 :premises (@p1546)) % 0.39/0.80 (step @p1548 :rule not_implies_elim2 :premises (@p1547)) % 0.39/0.80 (step @p1549 :rule not_implies_elim2 :premises (@p1548)) % 0.39/0.80 (step @p1550 :rule not_implies_elim2 :premises (@p1549)) % 0.39/0.80 (step @p1551 :rule not_implies_elim2 :premises (@p1550)) % 0.39/0.80 (step @p1552 :rule not_implies_elim2 :premises (@p1551)) % 0.39/0.80 (step @p1553 :rule not_implies_elim2 :premises (@p1552)) % 0.39/0.80 (step @p1554 :rule not_implies_elim2 :premises (@p1553)) % 0.39/0.80 (step @p1555 :rule not_implies_elim2 :premises (@p1554)) % 0.39/0.80 (step @p1556 :rule not_implies_elim2 :premises (@p1555)) % 0.39/0.80 (step @p1557 :rule not_implies_elim1 :premises (@p1556)) % 0.39/0.80 (step @p1558 :rule not_implies_elim2 :premises (@p1556)) % 0.39/0.80 (step @p1559 :rule not_implies_elim2 :premises (@p1558)) % 0.39/0.80 (step @p1560 :rule not_implies_elim2 :premises (@p1559)) % 0.39/0.80 (step @p1561 :rule not_implies_elim2 :premises (@p1560)) % 0.39/0.80 (step @p1562 :rule not_implies_elim2 :premises (@p1561)) % 0.39/0.80 (step @p1563 :rule not_implies_elim2 :premises (@p1562)) % 0.39/0.80 (step @p1564 :rule not_implies_elim2 :premises (@p1563)) % 0.39/0.80 (step @p1565 :rule not_implies_elim2 :premises (@p1564)) % 0.39/0.80 (step @p1566 :rule not_implies_elim2 :premises (@p1565)) % 0.39/0.80 (step @p1567 :rule not_implies_elim2 :premises (@p1566)) % 0.39/0.80 (step @p1568 :rule not_implies_elim2 :premises (@p1567)) % 0.39/0.80 (step @p1569 :rule not_implies_elim2 :premises (@p1568)) % 0.39/0.80 (step @p1570 :rule skolemize :premises (@p1569)) % 0.39/0.80 (step @p1571 :rule bool-double-not-elim :args (@t758)) % 0.39/0.80 (step @p1572 :rule refl :args (@t760)) % 0.39/0.80 (step @p1573 :rule nary_cong :premises (@p1572 @p1571) :args ((or @t760 (not @t759)))) % 0.39/0.80 (step @p1574 :rule cnf_or_neg :args (@t760 1)) % 0.39/0.80 (step @p1575 :rule eq_resolve :premises (@p1574 @p1573)) % 0.39/0.80 (step @p1576 :rule reordering :premises (@p1575) :args ((or @t758 @t760))) % 0.39/0.80 (step @p1577 :rule chain_m_resolution :premises (@p1576 @p1570) :args (@t758 (@list true) (@list @t760))) % 0.39/0.80 (assume-push @p1584 @t391) % 0.39/0.80 (step @p1579 :rule instantiate :premises (@p1557) :args ((@list @t757 @t755 @t754))) % 0.39/0.80 (step-pop @p1585 :rule scope :premises (@p1579)) % 0.39/0.80 (step @p1580 :rule process_scope :premises (@p1585) :args (@t759)) % 0.39/0.80 (step @p1582 :rule implies_elim :premises (@p1580)) % 0.39/0.80 (step @p1583 false :rule chain_m_resolution :premises (@p1582 @p1577 @p1557) :args (false (@list false false) (@list @t758 @t391))) % 0.39/0.80 ) % 0.39/0.80 % SZS output end Proof % 0.39/0.80 % cvc5 exiting %------------------------------------------------------------------------------