%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG261^1 : 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 : n007.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:05:41 AM UTC 2026 % Result : Theorem 0.42s 0.80s % Output : Proof 0.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : ALG261^1 : TPTP v9.2.1. Bugfixed v5.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.20/0.35 % Computer : n007.cluster.edu % 0.20/0.35 % Model : x86_64 x86_64 % 0.20/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.20/0.35 % Memory : 8042.1875MB % 0.20/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.20/0.35 % CPULimit : 300 % 0.20/0.35 % WCLimit : 300 % 0.20/0.35 % DateTime : Wed Jun 3 01:55:26 EDT 2026 % 0.15/0.35 % CPUTime : % 0.39/0.57 %----Proving TH0 % 0.42/0.80 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.42/0.80 % SZS status Theorem % 0.42/0.80 % SZS output start Proof % 0.42/0.80 ( % 0.42/0.80 (declare-sort tptp.term 0) % 0.42/0.80 (declare-sort tptp.subst 0) % 0.42/0.80 (declare-const tptp.push (-> tptp.term tptp.subst tptp.subst)) % 0.42/0.80 (declare-const tptp.sub (-> tptp.term tptp.subst tptp.term)) % 0.42/0.80 (declare-const tptp.ap (-> tptp.term tptp.term tptp.term)) % 0.42/0.80 (declare-const tptp.one tptp.term) % 0.42/0.80 (declare-const tptp.sh tptp.subst) % 0.42/0.80 (declare-const tptp.lam (-> tptp.term tptp.term)) % 0.42/0.80 (declare-const tptp.var (-> tptp.term Bool)) % 0.42/0.80 (declare-const tptp.id tptp.subst) % 0.42/0.80 (declare-const tptp.hoasinduction_no_psi_cond_lthm Bool) % 0.42/0.80 (declare-const tptp.hoasinduction_no_psi_cond Bool) % 0.42/0.80 (declare-const tptp.hoasinduction_lthm_3 Bool) % 0.42/0.80 (declare-const tptp.hoasinduction_lthm Bool) % 0.42/0.80 (declare-const tptp.hoasinduction_gthm Bool) % 0.42/0.80 (declare-const tptp.hoasinduction Bool) % 0.42/0.80 (declare-const tptp.hoasinduction_lem3b_lthm Bool) % 0.42/0.80 (declare-const tptp.hoasinduction_lem3b_gthm Bool) % 0.42/0.80 (declare-const tptp.hoasinduction_lem3b Bool) % 0.42/0.80 (declare-const tptp.hoasinduction_lem3a_lthm Bool) % 0.42/0.80 (declare-const tptp.hoasinduction_lem3a_gthm Bool) % 0.42/0.80 (declare-const tptp.hoasinduction_lem3a Bool) % 0.42/0.80 (declare-const tptp.hoasinduction_lem3_lthm Bool) % 0.42/0.80 (declare-const tptp.hoasinduction_lem3_gthm Bool) % 0.42/0.80 (declare-const tptp.hoasinduction_lem3 Bool) % 0.42/0.80 (declare-const tptp.hoasinduction_lem3aaa Bool) % 0.42/0.80 (declare-const tptp.hoasinduction_lem3aa_lthm Bool) % 0.42/0.80 (declare-const tptp.hoasinduction_lem3aa Bool) % 0.42/0.80 (declare-const tptp.hoasinduction_lem2_lthm Bool) % 0.42/0.80 (declare-const tptp.hoasinduction_lem2_gthm Bool) % 0.42/0.80 (declare-const tptp.hoasinduction_lem2 Bool) % 0.42/0.80 (declare-const tptp.hoasinduction_lem1_lthm Bool) % 0.42/0.80 (declare-const tptp.hoasinduction_lem1_gthm Bool) % 0.42/0.80 (declare-const tptp.hoasinduction_lem1 Bool) % 0.42/0.80 (declare-const tptp.hoasinduction_lem3v2a_lthm Bool) % 0.42/0.80 (declare-const tptp.hoasinduction_lem3v2a Bool) % 0.42/0.80 (declare-const tptp.hoasinduction_lem3v2_lthm Bool) % 0.42/0.80 (declare-const tptp.hoasinduction_lem3v2_gthm Bool) % 0.42/0.80 (declare-const tptp.hoasinduction_lem3v2 Bool) % 0.42/0.80 (declare-const tptp.hoasinduction_lem3v2_f_lthm Bool) % 0.42/0.80 (declare-const tptp.hoasinduction_lem3v2_f Bool) % 0.42/0.80 (declare-const tptp.hoasinduction_lem2v2_gthm Bool) % 0.42/0.80 (declare-const tptp.hoasinduction_lem2v2 Bool) % 0.42/0.80 (declare-const tptp.hoasinduction_lem1v2_gthm Bool) % 0.42/0.80 (declare-const tptp.hoasinduction_lem1v2 Bool) % 0.42/0.80 (declare-const tptp.hoasinduction_lem0_lthm Bool) % 0.42/0.80 (declare-const tptp.hoasinduction_lem0 Bool) % 0.42/0.80 (declare-const tptp.hoasapnotvar_lthm Bool) % 0.42/0.80 (declare-const tptp.hoasapnotvar_gthm Bool) % 0.42/0.80 (declare-const tptp.hoasapnotvar Bool) % 0.42/0.80 (declare-const tptp.hoaslamnotvar_lthm Bool) % 0.42/0.80 (declare-const tptp.hoaslamnotvar_gthm Bool) % 0.42/0.80 (declare-const tptp.hoaslamnotvar Bool) % 0.42/0.80 (declare-const tptp.hoaslamnotap_lthm Bool) % 0.42/0.80 (declare-const tptp.hoaslamnotap_gthm Bool) % 0.42/0.80 (declare-const tptp.hoaslamnotap Bool) % 0.42/0.80 (declare-const tptp.hoaslaminj_lthm Bool) % 0.42/0.80 (declare-const tptp.hoaslaminj_gthm Bool) % 0.42/0.80 (declare-const tptp.hoaslaminj Bool) % 0.42/0.80 (declare-const tptp.hoasapinj2_lthm Bool) % 0.42/0.80 (declare-const tptp.hoasapinj2_gthm Bool) % 0.42/0.80 (declare-const tptp.hoasapinj2 Bool) % 0.42/0.80 (declare-const tptp.pushprop_lem0_lthm Bool) % 0.42/0.80 (declare-const tptp.axassoc Bool) % 0.42/0.80 (declare-const tptp.pushprop_lem0_gthm Bool) % 0.42/0.80 (declare-const tptp.axvarcons Bool) % 0.42/0.80 (declare-const tptp.pushprop_lem0 Bool) % 0.42/0.80 (declare-const tptp.apinj1 Bool) % 0.42/0.80 (declare-const tptp.induction Bool) % 0.42/0.80 (declare-const tptp.apnotvar Bool) % 0.42/0.80 (declare-const tptp.laminj Bool) % 0.42/0.80 (declare-const tptp.axvarshift Bool) % 0.42/0.80 (declare-const tptp.ulamvarind Bool) % 0.42/0.80 (declare-const tptp.pushprop_lem2v2_lthm Bool) % 0.42/0.80 (declare-const tptp.ulamvarsh Bool) % 0.42/0.80 (declare-const tptp.ulamvar1 Bool) % 0.42/0.80 (declare-const tptp.axabs Bool) % 0.42/0.80 (declare-const tptp.pushprop_lem1 Bool) % 0.42/0.80 (declare-const tptp.shinj Bool) % 0.42/0.80 (declare-const tptp.comp (-> tptp.subst tptp.subst tptp.subst)) % 0.42/0.80 (declare-const tptp.apinj2 Bool) % 0.42/0.80 (declare-const tptp.axvarid Bool) % 0.42/0.80 (declare-const tptp.axidl Bool) % 0.42/0.80 (declare-const tptp.axclos Bool) % 0.42/0.80 (declare-const tptp.termmset Bool) % 0.42/0.80 (declare-const tptp.axshiftcons Bool) % 0.42/0.80 (declare-const tptp.lamnotap Bool) % 0.42/0.80 (declare-const tptp.lamnotvar Bool) % 0.42/0.80 (declare-const tptp.axapp Bool) % 0.42/0.80 (declare-const tptp.axscons Bool) % 0.42/0.80 (declare-const tptp.axmap Bool) % 0.42/0.80 (declare-const tptp.axidr Bool) % 0.42/0.80 (declare-const tptp.induction2lem Bool) % 0.42/0.80 (declare-const tptp.pushprop_lem1_gthm Bool) % 0.42/0.80 (declare-const tptp.hoasapinj1_lthm Bool) % 0.42/0.80 (declare-const tptp.pushprop_lem1_lthm Bool) % 0.42/0.80 (declare-const tptp.pushprop_lem1v2 Bool) % 0.42/0.80 (declare-const tptp.pushprop_lem1v2_gthm Bool) % 0.42/0.80 (declare-const tptp.induction2 Bool) % 0.42/0.80 (declare-const tptp.pushprop_lem1v2_lthm Bool) % 0.42/0.80 (declare-const tptp.pushprop_lem2v2 Bool) % 0.42/0.80 (declare-const tptp.pushprop_lem2v2_gthm Bool) % 0.42/0.80 (declare-const tptp.pushprop_lem3v2 Bool) % 0.42/0.80 (declare-const tptp.pushprop_lem3v2_lthm Bool) % 0.42/0.80 (declare-const tptp.pushprop Bool) % 0.42/0.80 (declare-const tptp.pushprop_gthm Bool) % 0.42/0.80 (declare-const tptp.hoasapinj1 Bool) % 0.42/0.80 (declare-const tptp.pushprop_lthm_orig Bool) % 0.42/0.80 (declare-const tptp.pushprop_lthm Bool) % 0.42/0.80 (declare-const tptp.induction2lem_gthm Bool) % 0.42/0.80 (declare-const tptp.induction2lem_lthm Bool) % 0.42/0.80 (declare-const tptp.induction2_gthm Bool) % 0.42/0.80 (declare-const tptp.induction2_lthm Bool) % 0.42/0.80 (declare-const tptp.substmonoid Bool) % 0.42/0.80 (declare-const tptp.substmonoid_gthm Bool) % 0.42/0.80 (declare-const tptp.termmset_gthm Bool) % 0.42/0.80 (declare-const tptp.substmonoid_lthm Bool) % 0.42/0.80 (declare-const tptp.termmset_lthm Bool) % 0.42/0.80 (declare-const tptp.hoasapinj1_gthm Bool) % 0.42/0.80 (define tptp.pushprop_p_and_p_prime () (let ((_let_1 (@var "M" tptp.subst))) (let ((_let_2 (@var "A" tptp.term))) (let ((_let_3 (@var "X" tptp.term))) (let ((_let_4 (@var "P" (-> tptp.term Bool)))) (let ((_let_5 (@var "Q" (-> tptp.term Bool)))) (lambda (@list _let_2 _let_1 _let_4 _let_5) (forall (@list _let_3) (= (_ _let_5 _let_3) (_ _let_4 (_ (_ tptp.sub _let_3) (_ (_ tptp.push _let_2) _let_1)))))))))))) % 0.42/0.80 (define tptp.hoasap () (let ((_let_1 (@var "B" tptp.term))) (let ((_let_2 (@var "N" tptp.subst))) (let ((_let_3 (@var "A" tptp.term))) (lambda (@list (@var "M" tptp.subst) _let_3 _let_2 _let_1) (_ (_ tptp.ap (_ (_ tptp.sub _let_3) _let_2)) _let_1)))))) % 0.42/0.80 (define tptp.hoaslam () (let ((_let_1 (@var "F" (-> tptp.subst tptp.term tptp.term)))) (lambda (@list (@var "M" tptp.subst) _let_1) (_ tptp.lam (_ (_ _let_1 tptp.sh) tptp.one))))) % 0.42/0.80 (define tptp.hoasvar () (let ((_let_1 (@var "N" tptp.subst))) (let ((_let_2 (@var "A" tptp.term))) (lambda (@list (@var "M" tptp.subst) _let_2 _let_1) (_ tptp.var (_ (_ tptp.sub _let_2) _let_1)))))) % 0.42/0.80 (define tptp.hoasinduction_p_and_p_prime () (let ((_let_1 (@var "X" tptp.term))) (let ((_let_2 (@var "P" (-> tptp.subst tptp.term tptp.subst Bool)))) (let ((_let_3 (@var "Q" (-> tptp.term Bool)))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (= (_ _let_3 _let_1) (_ (_ (_ _let_2 tptp.id) _let_1) tptp.id)))))))) % 0.42/0.80 (define @t1 () (@var "M" tptp.subst)) % 0.42/0.80 (define @t2 () (@var "B" tptp.term)) % 0.42/0.80 (define @t3 () (_ tptp.sub @t2)) % 0.42/0.80 (define @t4 () (_ @t3 @t1)) % 0.42/0.80 (define @t5 () (@var "A" tptp.term)) % 0.42/0.80 (define @t6 () (_ tptp.sub @t5)) % 0.42/0.80 (define @t7 () (_ @t6 @t1)) % 0.42/0.80 (define @t8 () (_ (_ tptp.ap @t7) @t4)) % 0.42/0.80 (define @t9 () (_ tptp.ap @t5)) % 0.42/0.80 (define @t10 () (_ @t9 @t2)) % 0.42/0.80 (define @t11 () (_ (_ tptp.sub @t10) @t1)) % 0.42/0.80 (define @t12 () (= @t11 @t8)) % 0.42/0.80 (define @t13 () (@list @t5 @t2 @t1)) % 0.42/0.80 (define @t14 () (forall @t13 @t12)) % 0.42/0.80 (define @t15 () (= tptp.axapp @t14)) % 0.42/0.80 (define @t16 () (_ (_ tptp.push @t5) @t1)) % 0.42/0.80 (define @t17 () (_ tptp.sub tptp.one)) % 0.42/0.80 (define @t18 () (_ @t17 @t16)) % 0.42/0.80 (define @t19 () (@list @t5 @t1)) % 0.42/0.80 (define @t20 () (forall @t19 (= @t18 @t5))) % 0.42/0.80 (define @t21 () (= tptp.axvarcons @t20)) % 0.42/0.80 (define @t22 () (_ @t6 tptp.id)) % 0.42/0.80 (define @t23 () (@list @t5)) % 0.42/0.80 (define @t24 () (forall @t23 (= @t22 @t5))) % 0.42/0.80 (define @t25 () (= tptp.axvarid @t24)) % 0.42/0.80 (define @t26 () (_ tptp.comp @t1)) % 0.42/0.80 (define @t27 () (_ @t26 tptp.sh)) % 0.42/0.80 (define @t28 () (_ tptp.push tptp.one)) % 0.42/0.80 (define @t29 () (_ @t28 @t27)) % 0.42/0.80 (define @t30 () (_ @t6 @t29)) % 0.42/0.80 (define @t31 () (_ tptp.lam @t30)) % 0.42/0.80 (define @t32 () (_ tptp.lam @t5)) % 0.42/0.80 (define @t33 () (_ (_ tptp.sub @t32) @t1)) % 0.42/0.80 (define @t34 () (= @t33 @t31)) % 0.42/0.80 (define @t35 () (forall @t19 @t34)) % 0.42/0.80 (define @t36 () (= tptp.axabs @t35)) % 0.42/0.80 (define @t37 () (@var "N" tptp.subst)) % 0.42/0.80 (define @t38 () (_ @t26 @t37)) % 0.42/0.80 (define @t39 () (_ @t6 @t38)) % 0.42/0.80 (define @t40 () (_ (_ tptp.sub @t7) @t37)) % 0.42/0.80 (define @t41 () (= @t40 @t39)) % 0.42/0.80 (define @t42 () (@list @t5 @t1 @t37)) % 0.42/0.80 (define @t43 () (forall @t42 @t41)) % 0.42/0.80 (define @t44 () (= tptp.axclos @t43)) % 0.42/0.80 (define @t45 () (_ (_ tptp.comp tptp.id) @t1)) % 0.42/0.80 (define @t46 () (@list @t1)) % 0.42/0.80 (define @t47 () (forall @t46 (= @t45 @t1))) % 0.42/0.80 (define @t48 () (= tptp.axidl @t47)) % 0.42/0.80 (define @t49 () (_ tptp.comp tptp.sh)) % 0.42/0.80 (define @t50 () (_ @t49 @t16)) % 0.42/0.80 (define @t51 () (forall @t19 (= @t50 @t1))) % 0.42/0.80 (define @t52 () (= tptp.axshiftcons @t51)) % 0.42/0.80 (define @t53 () (@var "K" tptp.subst)) % 0.42/0.80 (define @t54 () (_ (_ tptp.comp @t37) @t53)) % 0.42/0.80 (define @t55 () (_ @t26 @t54)) % 0.42/0.80 (define @t56 () (_ (_ tptp.comp @t38) @t53)) % 0.42/0.80 (define @t57 () (= @t56 @t55)) % 0.42/0.80 (define @t58 () (@list @t1 @t37 @t53)) % 0.42/0.80 (define @t59 () (forall @t58 @t57)) % 0.42/0.80 (define @t60 () (= tptp.axassoc @t59)) % 0.42/0.80 (define @t61 () (_ @t6 @t37)) % 0.42/0.80 (define @t62 () (_ (_ tptp.push @t61) @t38)) % 0.42/0.80 (define @t63 () (_ (_ tptp.comp @t16) @t37)) % 0.42/0.80 (define @t64 () (= @t63 @t62)) % 0.42/0.80 (define @t65 () (forall @t42 @t64)) % 0.42/0.80 (define @t66 () (= tptp.axmap @t65)) % 0.42/0.80 (define @t67 () (_ @t26 tptp.id)) % 0.42/0.80 (define @t68 () (forall @t46 (= @t67 @t1))) % 0.42/0.80 (define @t69 () (= tptp.axidr @t68)) % 0.42/0.80 (define @t70 () (_ @t28 tptp.sh)) % 0.42/0.80 (define @t71 () (= tptp.axvarshift (= @t70 tptp.id))) % 0.42/0.80 (define @t72 () (_ @t49 @t1)) % 0.42/0.80 (define @t73 () (_ @t17 @t1)) % 0.42/0.80 (define @t74 () (_ (_ tptp.push @t73) @t72)) % 0.42/0.80 (define @t75 () (forall @t46 (= @t74 @t1))) % 0.42/0.80 (define @t76 () (= tptp.axscons @t75)) % 0.42/0.80 (define @t77 () (_ tptp.var tptp.one)) % 0.42/0.80 (define @t78 () (_ @t6 tptp.sh)) % 0.42/0.80 (define @t79 () (_ tptp.var @t78)) % 0.42/0.80 (define @t80 () (_ tptp.var @t5)) % 0.42/0.80 (define @t81 () (forall @t23 (=> @t80 @t79))) % 0.42/0.80 (define @t82 () (= tptp.ulamvarsh @t81)) % 0.42/0.80 (define @t83 () (@var "P" (-> tptp.term Bool))) % 0.42/0.80 (define @t84 () (_ @t83 @t5)) % 0.42/0.80 (define @t85 () (forall @t23 (=> @t80 @t84))) % 0.42/0.80 (define @t86 () (_ @t83 @t78)) % 0.42/0.80 (define @t87 () (=> @t84 @t86)) % 0.42/0.80 (define @t88 () (forall @t23 (=> @t80 @t87))) % 0.42/0.80 (define @t89 () (=> @t88 @t85)) % 0.42/0.80 (define @t90 () (_ @t83 tptp.one)) % 0.42/0.80 (define @t91 () (=> @t90 @t89)) % 0.42/0.80 (define @t92 () (@list @t83)) % 0.42/0.80 (define @t93 () (forall @t92 @t91)) % 0.42/0.80 (define @t94 () (= tptp.ulamvarind @t93)) % 0.42/0.80 (define @t95 () (= @t5 @t2)) % 0.42/0.80 (define @t96 () (@var "D" tptp.term)) % 0.42/0.80 (define @t97 () (_ tptp.ap @t2)) % 0.42/0.80 (define @t98 () (_ @t97 @t96)) % 0.42/0.80 (define @t99 () (@var "C" tptp.term)) % 0.42/0.80 (define @t100 () (_ @t9 @t99)) % 0.42/0.80 (define @t101 () (= @t100 @t98)) % 0.42/0.80 (define @t102 () (@list @t5 @t2 @t99 @t96)) % 0.42/0.80 (define @t103 () (forall @t102 (=> @t101 @t95))) % 0.42/0.80 (define @t104 () (= tptp.apinj1 @t103)) % 0.42/0.80 (define @t105 () (= @t99 @t96)) % 0.42/0.80 (define @t106 () (forall @t102 (=> @t101 @t105))) % 0.42/0.80 (define @t107 () (= tptp.apinj2 @t106)) % 0.42/0.80 (define @t108 () (_ tptp.lam @t2)) % 0.42/0.80 (define @t109 () (= @t32 @t108)) % 0.42/0.80 (define @t110 () (@list @t5 @t2)) % 0.42/0.80 (define @t111 () (forall @t110 (=> @t109 @t95))) % 0.42/0.80 (define @t112 () (= tptp.laminj @t111)) % 0.42/0.80 (define @t113 () (_ @t3 tptp.sh)) % 0.42/0.80 (define @t114 () (= @t78 @t113)) % 0.42/0.80 (define @t115 () (forall @t110 (=> @t114 @t95))) % 0.42/0.80 (define @t116 () (= tptp.shinj @t115)) % 0.42/0.80 (define @t117 () (_ @t97 @t99)) % 0.42/0.80 (define @t118 () (= @t32 @t117)) % 0.42/0.80 (define @t119 () (not @t118)) % 0.42/0.80 (define @t120 () (@list @t5 @t2 @t99)) % 0.42/0.80 (define @t121 () (forall @t120 @t119)) % 0.42/0.80 (define @t122 () (= tptp.lamnotap @t121)) % 0.42/0.80 (define @t123 () (_ tptp.var @t10)) % 0.42/0.80 (define @t124 () (not @t123)) % 0.42/0.80 (define @t125 () (forall @t110 @t124)) % 0.42/0.80 (define @t126 () (= tptp.apnotvar @t125)) % 0.42/0.80 (define @t127 () (_ tptp.var @t32)) % 0.42/0.80 (define @t128 () (not @t127)) % 0.42/0.80 (define @t129 () (forall @t23 @t128)) % 0.42/0.80 (define @t130 () (= tptp.lamnotvar @t129)) % 0.42/0.80 (define @t131 () (forall @t23 @t84)) % 0.42/0.80 (define @t132 () (_ @t83 @t32)) % 0.42/0.80 (define @t133 () (forall @t23 (=> @t84 @t132))) % 0.42/0.80 (define @t134 () (=> @t133 @t131)) % 0.42/0.80 (define @t135 () (_ @t83 @t10)) % 0.42/0.80 (define @t136 () (_ @t83 @t2)) % 0.42/0.80 (define @t137 () (=> @t136 @t135)) % 0.42/0.80 (define @t138 () (forall @t110 (=> @t84 @t137))) % 0.42/0.80 (define @t139 () (=> @t138 @t134)) % 0.42/0.80 (define @t140 () (=> @t85 @t139)) % 0.42/0.80 (define @t141 () (forall @t92 @t140)) % 0.42/0.80 (define @t142 () (= tptp.induction @t141)) % 0.42/0.80 (define @t143 () (@var "Q" (-> tptp.term Bool))) % 0.42/0.80 (define @t144 () (_ (_ (_ (_ tptp.pushprop_p_and_p_prime @t5) @t1) @t83) @t143)) % 0.42/0.80 (define @t145 () (@list @t143)) % 0.42/0.80 (define @t146 () (@list @t83 @t5 @t1)) % 0.42/0.80 (define @t147 () (_ tptp.push @t2)) % 0.42/0.80 (define @t148 () (@var "K" (-> tptp.term Bool))) % 0.42/0.80 (define @t149 () (@list @t83 @t143 @t5 @t1)) % 0.42/0.80 (define @t150 () (_ tptp.sub @t99)) % 0.42/0.80 (define @t151 () (@list @t99)) % 0.42/0.80 (define @t152 () (_ @t83 @t4)) % 0.42/0.80 (define @t153 () (_ tptp.var @t2)) % 0.42/0.80 (define @t154 () (@list @t2)) % 0.42/0.80 (define @t155 () (forall @t154 (=> @t153 @t152))) % 0.42/0.80 (define @t156 () (_ @t3 @t16)) % 0.42/0.80 (define @t157 () (_ @t83 @t156)) % 0.42/0.80 (define @t158 () (forall @t154 (=> @t153 @t157))) % 0.42/0.80 (define @t159 () (_ @t143 @t2)) % 0.42/0.80 (define @t160 () (=> @t84 @t158)) % 0.42/0.80 (define @t161 () (=> @t155 @t160)) % 0.42/0.80 (define @t162 () (forall @t146 @t161)) % 0.42/0.80 (define @t163 () (= tptp.pushprop @t162)) % 0.42/0.80 (define @t164 () (=> tptp.ulamvar1 (=> tptp.axvarcons (=> tptp.axclos (=> tptp.axshiftcons (=> tptp.ulamvarind tptp.pushprop)))))) % 0.42/0.80 (define @t165 () (_ @t83 @t7)) % 0.42/0.80 (define @t166 () (=> @t155 @t165)) % 0.42/0.80 (define @t167 () (forall @t19 @t166)) % 0.42/0.80 (define @t168 () (_ @t147 tptp.id)) % 0.42/0.80 (define @t169 () (_ @t6 @t168)) % 0.42/0.80 (define @t170 () (_ @t83 @t169)) % 0.42/0.80 (define @t171 () (forall @t154 (=> @t136 @t170))) % 0.42/0.80 (define @t172 () (=> @t171 @t132)) % 0.42/0.80 (define @t173 () (forall @t23 @t172)) % 0.42/0.80 (define @t174 () (=> @t173 @t167)) % 0.42/0.80 (define @t175 () (=> @t138 @t174)) % 0.42/0.80 (define @t176 () (forall @t92 @t175)) % 0.42/0.80 (define @t177 () (= tptp.induction2lem @t176)) % 0.42/0.80 (define @t178 () (=> tptp.induction (=> tptp.pushprop tptp.induction2lem))) % 0.42/0.80 (define @t179 () (=> @t173 @t131)) % 0.42/0.80 (define @t180 () (=> @t138 @t179)) % 0.42/0.80 (define @t181 () (=> @t85 @t180)) % 0.42/0.80 (define @t182 () (forall @t92 @t181)) % 0.42/0.80 (define @t183 () (= tptp.induction2 @t182)) % 0.42/0.80 (define @t184 () (=> tptp.induction2lem tptp.induction2)) % 0.42/0.80 (define @t185 () (and @t59 @t47 @t68)) % 0.42/0.80 (define @t186 () (= tptp.substmonoid @t185)) % 0.42/0.80 (define @t187 () (and @t43 @t24)) % 0.42/0.80 (define @t188 () (= tptp.termmset @t187)) % 0.42/0.80 (define @t189 () (_ tptp.hoasap tptp.id)) % 0.42/0.80 (define @t190 () (_ (_ @t189 @t5) tptp.id)) % 0.42/0.80 (define @t191 () (= (_ @t190 @t99) (_ (_ (_ @t189 @t2) tptp.id) @t96))) % 0.42/0.80 (define @t192 () (=> @t191 @t95)) % 0.42/0.80 (define @t193 () (forall @t102 @t192)) % 0.42/0.80 (define @t194 () (= tptp.hoasapinj1 @t193)) % 0.42/0.80 (define @t195 () (=> @t191 @t105)) % 0.42/0.80 (define @t196 () (forall @t102 @t195)) % 0.42/0.80 (define @t197 () (= tptp.hoasapinj2 @t196)) % 0.42/0.80 (define @t198 () (@var "G" (-> tptp.subst tptp.term tptp.term))) % 0.42/0.80 (define @t199 () (_ (_ @t198 @t1) @t5)) % 0.42/0.80 (define @t200 () (@var "F" (-> tptp.subst tptp.term tptp.term))) % 0.42/0.80 (define @t201 () (_ @t200 @t1)) % 0.42/0.80 (define @t202 () (_ @t201 @t5)) % 0.42/0.80 (define @t203 () (= @t202 @t199)) % 0.42/0.80 (define @t204 () (@list @t1 @t5)) % 0.42/0.80 (define @t205 () (forall @t204 @t203)) % 0.42/0.80 (define @t206 () (lambda @t204 @t199)) % 0.42/0.80 (define @t207 () (_ tptp.hoaslam tptp.id)) % 0.42/0.80 (define @t208 () (lambda @t204 @t202)) % 0.42/0.80 (define @t209 () (_ @t207 @t208)) % 0.42/0.80 (define @t210 () (= @t209 (_ @t207 @t206))) % 0.42/0.80 (define @t211 () (=> @t210 @t205)) % 0.42/0.80 (define @t212 () (_ (_ @t198 @t38) @t61)) % 0.42/0.80 (define @t213 () (_ (_ tptp.sub @t199) @t37)) % 0.42/0.80 (define @t214 () (= @t213 @t212)) % 0.42/0.80 (define @t215 () (@list @t1 @t5 @t37)) % 0.42/0.80 (define @t216 () (forall @t215 @t214)) % 0.42/0.80 (define @t217 () (=> @t216 @t211)) % 0.42/0.80 (define @t218 () (@list @t198)) % 0.42/0.80 (define @t219 () (forall @t218 @t217)) % 0.42/0.80 (define @t220 () (_ (_ @t200 @t38) @t61)) % 0.42/0.80 (define @t221 () (_ (_ tptp.sub @t202) @t37)) % 0.42/0.80 (define @t222 () (= @t221 @t220)) % 0.42/0.80 (define @t223 () (forall @t215 @t222)) % 0.42/0.80 (define @t224 () (=> @t223 @t219)) % 0.42/0.80 (define @t225 () (@list @t200)) % 0.42/0.80 (define @t226 () (forall @t225 @t224)) % 0.42/0.80 (define @t227 () (= tptp.hoaslaminj @t226)) % 0.42/0.80 (define @t228 () (_ @t190 @t2)) % 0.42/0.80 (define @t229 () (lambda (@list @t1 @t99) (_ @t201 @t99))) % 0.42/0.80 (define @t230 () (= (_ @t207 @t229) @t228)) % 0.42/0.80 (define @t231 () (not @t230)) % 0.42/0.80 (define @t232 () (forall @t110 @t231)) % 0.42/0.80 (define @t233 () (=> @t223 @t232)) % 0.42/0.80 (define @t234 () (forall @t225 @t233)) % 0.42/0.80 (define @t235 () (= tptp.hoaslamnotap @t234)) % 0.42/0.80 (define @t236 () (_ tptp.hoasvar tptp.id)) % 0.42/0.80 (define @t237 () (not (_ (_ @t236 @t209) tptp.id))) % 0.42/0.80 (define @t238 () (=> @t223 @t237)) % 0.42/0.80 (define @t239 () (forall @t225 @t238)) % 0.42/0.80 (define @t240 () (= tptp.hoaslamnotvar @t239)) % 0.42/0.80 (define @t241 () (not (_ (_ @t236 @t228) tptp.id))) % 0.42/0.80 (define @t242 () (forall @t110 @t241)) % 0.42/0.80 (define @t243 () (= tptp.hoasapnotvar @t242)) % 0.42/0.80 (define @t244 () (=> tptp.hoaslamnotvar tptp.hoasapnotvar)) % 0.42/0.80 (define @t245 () (=> tptp.hoaslamnotap @t244)) % 0.42/0.80 (define @t246 () (=> tptp.hoaslaminj @t245)) % 0.42/0.80 (define @t247 () (=> tptp.hoasapinj2 @t246)) % 0.42/0.80 (define @t248 () (=> tptp.hoasapinj1 @t247)) % 0.42/0.80 (define @t249 () (=> tptp.termmset @t248)) % 0.42/0.80 (define @t250 () (=> tptp.substmonoid @t249)) % 0.42/0.80 (define @t251 () (=> tptp.induction2 @t250)) % 0.42/0.80 (define @t252 () (=> tptp.induction2lem @t251)) % 0.42/0.80 (define @t253 () (=> tptp.pushprop @t252)) % 0.42/0.80 (define @t254 () (=> tptp.induction @t253)) % 0.42/0.80 (define @t255 () (=> tptp.lamnotvar @t254)) % 0.42/0.80 (define @t256 () (=> tptp.apnotvar @t255)) % 0.42/0.80 (define @t257 () (=> tptp.lamnotap @t256)) % 0.42/0.80 (define @t258 () (=> tptp.shinj @t257)) % 0.42/0.80 (define @t259 () (=> tptp.laminj @t258)) % 0.42/0.80 (define @t260 () (=> tptp.apinj2 @t259)) % 0.42/0.80 (define @t261 () (=> tptp.apinj1 @t260)) % 0.42/0.80 (define @t262 () (=> tptp.ulamvarind @t261)) % 0.42/0.80 (define @t263 () (=> tptp.ulamvarsh @t262)) % 0.42/0.80 (define @t264 () (=> tptp.ulamvar1 @t263)) % 0.42/0.80 (define @t265 () (=> tptp.axscons @t264)) % 0.42/0.80 (define @t266 () (=> tptp.axvarshift @t265)) % 0.42/0.80 (define @t267 () (=> tptp.axidr @t266)) % 0.42/0.80 (define @t268 () (=> tptp.axmap @t267)) % 0.42/0.80 (define @t269 () (=> tptp.axassoc @t268)) % 0.42/0.80 (define @t270 () (=> tptp.axshiftcons @t269)) % 0.42/0.80 (define @t271 () (=> tptp.axidl @t270)) % 0.42/0.80 (define @t272 () (=> tptp.axclos @t271)) % 0.42/0.80 (define @t273 () (=> tptp.axabs @t272)) % 0.42/0.80 (define @t274 () (=> tptp.axvarid @t273)) % 0.42/0.80 (define @t275 () (=> tptp.axvarcons @t274)) % 0.42/0.80 (define @t276 () (=> tptp.axapp @t275)) % 0.42/0.80 (define @t277 () (= tptp.hoasapnotvar_gthm @t276)) % 0.42/0.80 (define @t278 () (@var "P" (-> tptp.subst tptp.term tptp.subst Bool))) % 0.42/0.80 (define @t279 () (_ (_ tptp.hoasinduction_p_and_p_prime @t278) @t143)) % 0.42/0.80 (define @t280 () (@list @t278)) % 0.42/0.80 (define @t281 () (_ @t143 @t5)) % 0.42/0.80 (define @t282 () (_ @t278 tptp.id)) % 0.42/0.80 (define @t283 () (_ (_ @t282 @t5) tptp.id)) % 0.42/0.80 (define @t284 () (forall @t23 (=> (_ (_ @t236 @t5) tptp.id) @t283))) % 0.42/0.80 (define @t285 () (_ (_ (_ @t278 @t1) @t5) (_ (_ tptp.comp @t53) @t37))) % 0.42/0.80 (define @t286 () (_ (_ (_ @t278 (_ @t26 @t53)) (_ @t6 @t53)) @t37)) % 0.42/0.80 (define @t287 () (@list @t1 @t5 @t37 @t53)) % 0.42/0.80 (define @t288 () (forall @t287 (=> @t286 @t285))) % 0.42/0.80 (define @t289 () (forall @t287 (=> @t285 @t286))) % 0.42/0.80 (define @t290 () (@list @t278 @t143)) % 0.42/0.80 (define @t291 () (_ (_ @t282 @t2) tptp.id)) % 0.42/0.80 (define @t292 () (forall @t110 (=> @t283 (=> @t291 (_ (_ @t282 @t228) tptp.id))))) % 0.42/0.80 (define @t293 () (=> (forall @t23 (=> @t283 (_ (_ @t282 (_ (_ @t200 tptp.id) @t5)) tptp.id))) (_ (_ @t282 @t209) tptp.id))) % 0.42/0.80 (define @t294 () (forall @t225 (=> @t223 @t293))) % 0.42/0.80 (define @t295 () (=> @t294 (=> @t279 (forall @t23 (=> (forall @t154 (=> @t159 (_ @t143 @t169))) (_ @t143 @t32)))))) % 0.42/0.80 (define @t296 () (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction (=> tptp.pushprop (=> tptp.induction2lem (=> tptp.induction2 (=> tptp.substmonoid (=> tptp.termmset (=> tptp.hoasapinj1 (=> tptp.hoasapinj2 (=> tptp.hoaslaminj (=> tptp.hoaslamnotap (=> tptp.hoaslamnotvar (=> tptp.hoasapnotvar tptp.hoasinduction_lem1))))))))))))))))))))))))))))))))))) % 0.42/0.80 (define @t297 () (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction (=> tptp.pushprop (=> tptp.induction2lem (=> tptp.induction2 (=> tptp.substmonoid (=> tptp.termmset (=> tptp.hoasapinj1 (=> tptp.hoasapinj2 (=> tptp.hoaslaminj (=> tptp.hoaslamnotap (=> tptp.hoaslamnotvar (=> tptp.hoasapnotvar tptp.hoasinduction_lem2))))))))))))))))))))))))))))))))))) % 0.42/0.80 (define @t298 () (forall @t154 (=> @t291 (_ (_ @t282 @t169) tptp.id)))) % 0.42/0.80 (define @t299 () (forall @t23 (=> @t298 (_ (_ @t282 (_ tptp.lam (_ @t6 @t70))) tptp.id)))) % 0.42/0.80 (define @t300 () (=> @t294 (forall @t23 (=> @t298 (_ (_ @t282 @t32) tptp.id))))) % 0.42/0.80 (define @t301 () (_ @t200 tptp.sh)) % 0.42/0.80 (define @t302 () (_ @t301 tptp.one)) % 0.42/0.80 (define @t303 () (=> @t292 (=> @t294 (forall @t23 @t283)))) % 0.42/0.80 (define @t304 () (=> tptp.hoasinduction_lem1 (=> tptp.hoasinduction_lem2 (=> tptp.hoasinduction_lem3 tptp.hoasinduction)))) % 0.42/0.80 (define @t305 () (not tptp.hoasapnotvar_gthm)) % 0.42/0.80 (define @t306 () (@var "X" tptp.term)) % 0.42/0.80 (define @t307 () (_ @t143 @t306)) % 0.42/0.80 (define @t308 () (@list @t306)) % 0.42/0.80 (define @t309 () (lambda (@list @t5 @t1 @t83 @t143) (forall @t308 (= @t307 (_ @t83 (_ (_ tptp.sub @t306) @t16)))))) % 0.42/0.80 (define @t310 () (_ tptp.ap @t61)) % 0.42/0.80 (define @t311 () (_ @t310 @t2)) % 0.42/0.80 (define @t312 () (lambda (@list @t1 @t5 @t37 @t2) @t311)) % 0.42/0.80 (define @t313 () (_ tptp.lam @t302)) % 0.42/0.80 (define @t314 () (lambda (@list @t1 @t200) @t313)) % 0.42/0.80 (define @t315 () (_ tptp.var @t61)) % 0.42/0.80 (define @t316 () (lambda @t215 @t315)) % 0.42/0.80 (define @t317 () (lambda @t290 (forall @t308 (= @t307 (_ (_ @t282 @t306) tptp.id))))) % 0.42/0.80 (define @t318 () (tptp.push tptp.one tptp.sh)) % 0.42/0.80 (define @t319 () (tptp.sub @t5 @t318)) % 0.42/0.80 (define @t320 () (forall @t110 (not (tptp.var (tptp.sub (tptp.ap @t319 @t2) @t318))))) % 0.42/0.80 (define @t321 () (_ @t200 tptp.sh tptp.one)) % 0.42/0.80 (define @t322 () (tptp.lam @t321)) % 0.42/0.80 (define @t323 () (tptp.sub @t5 @t37)) % 0.42/0.80 (define @t324 () (tptp.comp @t1 @t37)) % 0.42/0.80 (define @t325 () (_ @t200 @t324 @t323)) % 0.42/0.80 (define @t326 () (_ @t200 @t1 @t5)) % 0.42/0.80 (define @t327 () (tptp.sub @t326 @t37)) % 0.42/0.80 (define @t328 () (forall @t215 (= @t327 @t325))) % 0.42/0.80 (define @t329 () (not @t328)) % 0.42/0.80 (define @t330 () (@var "BOUND_VARIABLE_9634" tptp.term)) % 0.42/0.80 (define @t331 () (@var "BOUND_VARIABLE_9632" tptp.term)) % 0.42/0.80 (define @t332 () (@list @t200 @t331 @t330)) % 0.42/0.80 (define @t333 () (@var "BOUND_VARIABLE_9580" tptp.term)) % 0.42/0.80 (define @t334 () (@var "BOUND_VARIABLE_9578" tptp.subst)) % 0.42/0.80 (define @t335 () (@var "BOUND_VARIABLE_9576" (-> tptp.subst tptp.term tptp.term))) % 0.42/0.80 (define @t336 () (= (_ @t200 @t334 @t333) (_ @t335 @t334 @t333))) % 0.42/0.80 (define @t337 () (not (= @t322 (tptp.lam (_ @t335 tptp.sh tptp.one))))) % 0.42/0.80 (define @t338 () (not (forall @t215 (= (tptp.sub (_ @t335 @t1 @t5) @t37) (_ @t335 @t324 @t323))))) % 0.42/0.80 (define @t339 () (or @t329 @t338 @t337 @t336)) % 0.42/0.80 (define @t340 () (@list @t200 @t335 @t334 @t333)) % 0.42/0.80 (define @t341 () (forall @t340 @t339)) % 0.42/0.80 (define @t342 () (not (= (tptp.ap (tptp.sub @t2 @t318) @t96) (tptp.ap @t319 @t99)))) % 0.42/0.80 (define @t343 () (forall @t23 (= @t5 @t319))) % 0.42/0.80 (define @t344 () (tptp.sub @t5 @t324)) % 0.42/0.80 (define @t345 () (tptp.sub @t5 @t1)) % 0.42/0.80 (define @t346 () (tptp.sub @t345 @t37)) % 0.42/0.80 (define @t347 () (forall @t42 (= @t346 @t344))) % 0.42/0.80 (define @t348 () (forall @t46 (= @t1 (tptp.comp @t1 @t318)))) % 0.42/0.80 (define @t349 () (forall @t46 (= @t1 (tptp.comp @t318 @t1)))) % 0.42/0.80 (define @t350 () (tptp.comp @t37 @t53)) % 0.42/0.80 (define @t351 () (tptp.comp @t1 @t350)) % 0.42/0.80 (define @t352 () (tptp.comp @t324 @t53)) % 0.42/0.80 (define @t353 () (forall @t58 (= @t352 @t351))) % 0.42/0.80 (define @t354 () (@var "BOUND_VARIABLE_9396" tptp.term)) % 0.42/0.80 (define @t355 () (_ @t83 @t354)) % 0.42/0.80 (define @t356 () (tptp.lam @t5)) % 0.42/0.80 (define @t357 () (_ @t83 @t356)) % 0.42/0.80 (define @t358 () (_ @t83 @t2)) % 0.42/0.80 (define @t359 () (not @t358)) % 0.42/0.80 (define @t360 () (not (forall @t23 (or (not (forall @t154 (or @t359 (_ @t83 (tptp.sub @t5 (tptp.push @t2 @t318)))))) @t357)))) % 0.42/0.80 (define @t361 () (tptp.ap @t5 @t2)) % 0.42/0.80 (define @t362 () (_ @t83 @t361)) % 0.42/0.80 (define @t363 () (_ @t83 @t5)) % 0.42/0.80 (define @t364 () (not @t363)) % 0.42/0.80 (define @t365 () (forall @t110 (or @t364 @t359 @t362))) % 0.42/0.80 (define @t366 () (not @t365)) % 0.42/0.80 (define @t367 () (tptp.var @t5)) % 0.42/0.80 (define @t368 () (not @t367)) % 0.42/0.80 (define @t369 () (forall @t23 (or @t368 @t363))) % 0.42/0.80 (define @t370 () (not @t369)) % 0.42/0.80 (define @t371 () (@list @t83 @t354)) % 0.42/0.80 (define @t372 () (@var "BOUND_VARIABLE_9371" tptp.subst)) % 0.42/0.80 (define @t373 () (@var "BOUND_VARIABLE_9369" tptp.term)) % 0.42/0.80 (define @t374 () (_ @t83 (tptp.sub @t373 @t372))) % 0.42/0.80 (define @t375 () (tptp.var @t2)) % 0.42/0.80 (define @t376 () (not @t375)) % 0.42/0.80 (define @t377 () (not (forall @t154 (or @t376 (_ @t83 (tptp.sub @t2 @t372)))))) % 0.42/0.80 (define @t378 () (@list @t83 @t373 @t372)) % 0.42/0.80 (define @t379 () (tptp.push @t5 @t1)) % 0.42/0.80 (define @t380 () (@var "BOUND_VARIABLE_9324" tptp.term)) % 0.42/0.80 (define @t381 () (_ @t83 (tptp.sub @t380 @t379))) % 0.42/0.80 (define @t382 () (not (tptp.var @t380))) % 0.42/0.80 (define @t383 () (tptp.sub @t2 @t1)) % 0.42/0.80 (define @t384 () (_ @t83 @t383)) % 0.42/0.80 (define @t385 () (forall @t154 (or @t376 @t384))) % 0.42/0.80 (define @t386 () (not @t385)) % 0.42/0.80 (define @t387 () (or @t386 @t364 @t382 @t381)) % 0.42/0.80 (define @t388 () (@list @t83 @t5 @t1 @t380)) % 0.42/0.80 (define @t389 () (forall @t388 @t387)) % 0.42/0.80 (define @t390 () (@var "BOUND_VARIABLE_9170" tptp.term)) % 0.42/0.80 (define @t391 () (_ @t83 @t390)) % 0.42/0.80 (define @t392 () (forall @t23 (or @t364 @t357))) % 0.42/0.80 (define @t393 () (not @t392)) % 0.42/0.80 (define @t394 () (or @t370 @t366 @t393 @t391)) % 0.42/0.80 (define @t395 () (forall (@list @t83 @t390) @t394)) % 0.42/0.80 (define @t396 () (tptp.var @t356)) % 0.42/0.80 (define @t397 () (forall @t23 (not @t396))) % 0.42/0.80 (define @t398 () (tptp.var @t361)) % 0.42/0.80 (define @t399 () (forall @t110 (not @t398))) % 0.42/0.80 (define @t400 () (tptp.ap @t2 @t99)) % 0.42/0.80 (define @t401 () (forall @t120 (not (= @t356 @t400)))) % 0.42/0.80 (define @t402 () (tptp.sub @t2 tptp.sh)) % 0.42/0.80 (define @t403 () (tptp.sub @t5 tptp.sh)) % 0.42/0.80 (define @t404 () (forall @t110 (or (not (= @t403 @t402)) @t95))) % 0.42/0.80 (define @t405 () (tptp.lam @t2)) % 0.42/0.80 (define @t406 () (forall @t110 (or (not (= @t356 @t405)) @t95))) % 0.42/0.80 (define @t407 () (tptp.ap @t2 @t96)) % 0.42/0.80 (define @t408 () (tptp.ap @t5 @t99)) % 0.42/0.80 (define @t409 () (not (= @t408 @t407))) % 0.42/0.80 (define @t410 () (forall @t102 (or @t409 @t105))) % 0.42/0.80 (define @t411 () (forall @t102 (or @t409 @t95))) % 0.42/0.80 (define @t412 () (@var "BOUND_VARIABLE_9074" tptp.term)) % 0.42/0.80 (define @t413 () (_ @t83 @t412)) % 0.42/0.80 (define @t414 () (not (tptp.var @t412))) % 0.42/0.80 (define @t415 () (_ @t83 @t403)) % 0.42/0.80 (define @t416 () (forall @t23 (or @t368 @t364 @t415))) % 0.42/0.80 (define @t417 () (not @t416)) % 0.42/0.80 (define @t418 () (_ @t83 tptp.one)) % 0.42/0.80 (define @t419 () (not @t418)) % 0.42/0.80 (define @t420 () (or @t419 @t417 @t414 @t413)) % 0.42/0.80 (define @t421 () (@list @t83 @t412)) % 0.42/0.80 (define @t422 () (forall @t421 @t420)) % 0.42/0.80 (define @t423 () (tptp.var @t403)) % 0.42/0.80 (define @t424 () (forall @t23 (or @t368 @t423))) % 0.42/0.80 (define @t425 () (=> @t424 (=> @t422 (=> @t411 (=> @t410 (=> @t406 (=> @t404 (=> @t401 (=> @t399 (=> @t397 (=> @t395 (=> @t389 (=> (forall @t378 (or @t366 @t360 @t377 @t374)) (=> (forall @t371 (or @t370 @t366 @t360 @t355)) (=> (and @t353 @t349 @t348) (=> (and @t347 @t343) (=> (forall @t102 (or @t342 @t95)) (=> (forall @t102 (or @t342 @t105)) (=> @t341 (=> (forall @t332 (or @t329 (not (= @t322 (tptp.ap (tptp.sub @t331 @t318) @t330))))) (=> (forall @t225 (or @t329 (not (tptp.var (tptp.sub @t322 @t318))))) @t320))))))))))))))))))))) % 0.42/0.80 (define @t426 () (tptp.var tptp.one)) % 0.42/0.80 (define @t427 () (=> @t77 @t425)) % 0.42/0.80 (define @t428 () (tptp.comp tptp.sh @t1)) % 0.42/0.80 (define @t429 () (tptp.sub tptp.one @t1)) % 0.42/0.80 (define @t430 () (tptp.push @t429 @t428)) % 0.42/0.80 (define @t431 () (forall @t46 (= @t1 @t430))) % 0.42/0.80 (define @t432 () (=> @t431 @t427)) % 0.42/0.80 (define @t433 () (=> @t348 @t432)) % 0.42/0.80 (define @t434 () (tptp.push @t323 @t324)) % 0.42/0.80 (define @t435 () (tptp.comp @t379 @t37)) % 0.42/0.80 (define @t436 () (forall @t42 (= @t435 @t434))) % 0.42/0.80 (define @t437 () (=> @t436 @t433)) % 0.42/0.80 (define @t438 () (=> @t353 @t437)) % 0.42/0.80 (define @t439 () (tptp.comp tptp.sh @t379)) % 0.42/0.80 (define @t440 () (forall @t19 (= @t1 @t439))) % 0.42/0.80 (define @t441 () (=> @t440 @t438)) % 0.42/0.80 (define @t442 () (=> @t349 @t441)) % 0.42/0.80 (define @t443 () (=> @t347 @t442)) % 0.42/0.80 (define @t444 () (tptp.comp @t1 tptp.sh)) % 0.42/0.80 (define @t445 () (tptp.push tptp.one @t444)) % 0.42/0.80 (define @t446 () (tptp.sub @t5 @t445)) % 0.42/0.80 (define @t447 () (tptp.lam @t446)) % 0.42/0.80 (define @t448 () (tptp.sub @t356 @t1)) % 0.42/0.80 (define @t449 () (forall @t19 (= @t448 @t447))) % 0.42/0.80 (define @t450 () (=> @t449 @t443)) % 0.42/0.80 (define @t451 () (=> @t343 @t450)) % 0.42/0.80 (define @t452 () (tptp.sub tptp.one @t379)) % 0.42/0.80 (define @t453 () (forall @t19 (= @t5 @t452))) % 0.42/0.80 (define @t454 () (=> @t453 @t451)) % 0.42/0.80 (define @t455 () (tptp.ap @t345 @t383)) % 0.42/0.80 (define @t456 () (tptp.sub @t361 @t1)) % 0.42/0.80 (define @t457 () (forall @t13 (= @t456 @t455))) % 0.42/0.80 (define @t458 () (=> @t457 @t454)) % 0.42/0.80 (define @t459 () (tptp.sub @t5 @t70)) % 0.42/0.80 (define @t460 () (tptp.ap @t459 @t2)) % 0.42/0.80 (define @t461 () (tptp.sub @t460 @t70)) % 0.42/0.80 (define @t462 () (tptp.var @t461)) % 0.42/0.80 (define @t463 () (not @t462)) % 0.42/0.80 (define @t464 () (forall @t110 @t463)) % 0.42/0.80 (define @t465 () (tptp.sub @t322 @t70)) % 0.42/0.80 (define @t466 () (tptp.var @t465)) % 0.42/0.80 (define @t467 () (not @t466)) % 0.42/0.80 (define @t468 () (or @t329 @t467)) % 0.42/0.80 (define @t469 () (forall @t225 @t468)) % 0.42/0.80 (define @t470 () (=> @t469 @t464)) % 0.42/0.80 (define @t471 () (tptp.sub @t331 @t70)) % 0.42/0.80 (define @t472 () (tptp.ap @t471 @t330)) % 0.42/0.80 (define @t473 () (= @t322 @t472)) % 0.42/0.80 (define @t474 () (not @t473)) % 0.42/0.80 (define @t475 () (or @t329 @t474)) % 0.42/0.80 (define @t476 () (forall @t332 @t475)) % 0.42/0.80 (define @t477 () (=> @t476 @t470)) % 0.42/0.80 (define @t478 () (=> @t341 @t477)) % 0.42/0.80 (define @t479 () (tptp.ap @t459 @t99)) % 0.42/0.80 (define @t480 () (tptp.sub @t2 @t70)) % 0.42/0.80 (define @t481 () (tptp.ap @t480 @t96)) % 0.42/0.80 (define @t482 () (= @t481 @t479)) % 0.42/0.80 (define @t483 () (not @t482)) % 0.42/0.80 (define @t484 () (or @t483 @t105)) % 0.42/0.80 (define @t485 () (not (= @t479 @t481))) % 0.42/0.80 (define @t486 () (or @t485 @t105)) % 0.42/0.80 (define @t487 () (forall @t102 @t486)) % 0.42/0.80 (define @t488 () (=> @t487 @t478)) % 0.42/0.80 (define @t489 () (or @t483 @t95)) % 0.42/0.80 (define @t490 () (or @t485 @t95)) % 0.42/0.80 (define @t491 () (forall @t102 @t490)) % 0.42/0.80 (define @t492 () (=> @t491 @t488)) % 0.42/0.80 (define @t493 () (= @t5 @t459)) % 0.42/0.80 (define @t494 () (forall @t23 @t493)) % 0.42/0.80 (define @t495 () (and @t347 @t494)) % 0.42/0.80 (define @t496 () (=> @t495 @t492)) % 0.42/0.80 (define @t497 () (tptp.comp @t1 @t70)) % 0.42/0.80 (define @t498 () (= @t1 @t497)) % 0.42/0.80 (define @t499 () (forall @t46 @t498)) % 0.42/0.80 (define @t500 () (tptp.comp @t70 @t1)) % 0.42/0.80 (define @t501 () (= @t1 @t500)) % 0.42/0.80 (define @t502 () (forall @t46 @t501)) % 0.42/0.80 (define @t503 () (and @t353 @t502 @t499)) % 0.42/0.80 (define @t504 () (=> @t503 @t496)) % 0.42/0.80 (define @t505 () (tptp.push @t2 @t70)) % 0.42/0.80 (define @t506 () (tptp.sub @t5 @t505)) % 0.42/0.80 (define @t507 () (_ @t83 @t506)) % 0.42/0.80 (define @t508 () (or @t359 @t507)) % 0.42/0.80 (define @t509 () (forall @t154 @t508)) % 0.42/0.80 (define @t510 () (not @t509)) % 0.42/0.80 (define @t511 () (or @t510 @t357)) % 0.42/0.80 (define @t512 () (forall @t23 @t511)) % 0.42/0.80 (define @t513 () (not @t512)) % 0.42/0.80 (define @t514 () (or @t370 @t366 @t513 @t355)) % 0.42/0.80 (define @t515 () (forall @t371 @t514)) % 0.42/0.80 (define @t516 () (=> @t515 @t504)) % 0.42/0.80 (define @t517 () (or @t366 @t513 @t377 @t374)) % 0.42/0.80 (define @t518 () (forall @t378 @t517)) % 0.42/0.80 (define @t519 () (=> @t518 @t516)) % 0.42/0.80 (define @t520 () (=> @t389 @t519)) % 0.42/0.80 (define @t521 () (=> @t395 @t520)) % 0.42/0.80 (define @t522 () (=> @t397 @t521)) % 0.42/0.80 (define @t523 () (=> @t399 @t522)) % 0.42/0.80 (define @t524 () (=> @t401 @t523)) % 0.42/0.80 (define @t525 () (=> @t404 @t524)) % 0.42/0.80 (define @t526 () (=> @t406 @t525)) % 0.42/0.80 (define @t527 () (=> @t410 @t526)) % 0.42/0.80 (define @t528 () (=> @t411 @t527)) % 0.42/0.80 (define @t529 () (=> @t422 @t528)) % 0.42/0.80 (define @t530 () (=> @t424 @t529)) % 0.42/0.80 (define @t531 () (=> @t77 @t530)) % 0.42/0.80 (define @t532 () (=> @t431 @t531)) % 0.42/0.80 (define @t533 () (=> (= @t70 @t70) @t532)) % 0.42/0.80 (define @t534 () (=> @t499 @t533)) % 0.42/0.80 (define @t535 () (=> @t436 @t534)) % 0.42/0.80 (define @t536 () (=> @t353 @t535)) % 0.42/0.80 (define @t537 () (=> @t440 @t536)) % 0.42/0.80 (define @t538 () (=> @t502 @t537)) % 0.42/0.80 (define @t539 () (=> @t347 @t538)) % 0.42/0.80 (define @t540 () (=> @t449 @t539)) % 0.42/0.80 (define @t541 () (=> @t494 @t540)) % 0.42/0.80 (define @t542 () (=> @t453 @t541)) % 0.42/0.80 (define @t543 () (=> @t457 @t542)) % 0.42/0.80 (define @t544 () (tptp.sub @t5 tptp.id)) % 0.42/0.80 (define @t545 () (tptp.ap @t544 @t2)) % 0.42/0.80 (define @t546 () (tptp.sub @t545 tptp.id)) % 0.42/0.80 (define @t547 () (tptp.var @t546)) % 0.42/0.80 (define @t548 () (not @t547)) % 0.42/0.80 (define @t549 () (forall @t110 @t548)) % 0.42/0.80 (define @t550 () (tptp.sub @t322 tptp.id)) % 0.42/0.80 (define @t551 () (tptp.var @t550)) % 0.42/0.80 (define @t552 () (not @t551)) % 0.42/0.80 (define @t553 () (or @t329 @t552)) % 0.42/0.80 (define @t554 () (forall @t225 @t553)) % 0.42/0.80 (define @t555 () (=> @t554 @t549)) % 0.42/0.80 (define @t556 () (tptp.sub @t331 tptp.id)) % 0.42/0.80 (define @t557 () (tptp.ap @t556 @t330)) % 0.42/0.80 (define @t558 () (= @t322 @t557)) % 0.42/0.80 (define @t559 () (not @t558)) % 0.42/0.80 (define @t560 () (or @t329 @t559)) % 0.42/0.80 (define @t561 () (forall @t332 @t560)) % 0.42/0.80 (define @t562 () (=> @t561 @t555)) % 0.42/0.80 (define @t563 () (=> @t341 @t562)) % 0.42/0.80 (define @t564 () (tptp.sub @t2 tptp.id)) % 0.42/0.80 (define @t565 () (tptp.ap @t564 @t96)) % 0.42/0.80 (define @t566 () (tptp.ap @t544 @t99)) % 0.42/0.80 (define @t567 () (= @t566 @t565)) % 0.42/0.80 (define @t568 () (not @t567)) % 0.42/0.80 (define @t569 () (or @t568 @t105)) % 0.42/0.80 (define @t570 () (forall @t102 @t569)) % 0.42/0.80 (define @t571 () (=> @t570 @t563)) % 0.42/0.80 (define @t572 () (or @t568 @t95)) % 0.42/0.80 (define @t573 () (forall @t102 @t572)) % 0.42/0.80 (define @t574 () (=> @t573 @t571)) % 0.42/0.80 (define @t575 () (= @t5 @t544)) % 0.42/0.80 (define @t576 () (forall @t23 @t575)) % 0.42/0.80 (define @t577 () (and @t347 @t576)) % 0.42/0.80 (define @t578 () (=> @t577 @t574)) % 0.42/0.80 (define @t579 () (tptp.comp @t1 tptp.id)) % 0.42/0.80 (define @t580 () (= @t1 @t579)) % 0.42/0.80 (define @t581 () (forall @t46 @t580)) % 0.42/0.80 (define @t582 () (tptp.comp tptp.id @t1)) % 0.42/0.80 (define @t583 () (= @t1 @t582)) % 0.42/0.80 (define @t584 () (forall @t46 @t583)) % 0.42/0.80 (define @t585 () (and @t353 @t584 @t581)) % 0.42/0.80 (define @t586 () (=> @t585 @t578)) % 0.42/0.80 (define @t587 () (tptp.push @t2 tptp.id)) % 0.42/0.80 (define @t588 () (tptp.sub @t5 @t587)) % 0.42/0.80 (define @t589 () (_ @t83 @t588)) % 0.42/0.81 (define @t590 () (or @t359 @t589)) % 0.42/0.81 (define @t591 () (forall @t154 @t590)) % 0.42/0.81 (define @t592 () (not @t591)) % 0.42/0.81 (define @t593 () (or @t592 @t357)) % 0.42/0.81 (define @t594 () (forall @t23 @t593)) % 0.42/0.81 (define @t595 () (not @t594)) % 0.42/0.81 (define @t596 () (or @t370 @t366 @t595 @t355)) % 0.42/0.81 (define @t597 () (forall @t371 @t596)) % 0.42/0.81 (define @t598 () (=> @t597 @t586)) % 0.42/0.81 (define @t599 () (or @t366 @t595 @t377 @t374)) % 0.42/0.81 (define @t600 () (forall @t378 @t599)) % 0.42/0.81 (define @t601 () (=> @t600 @t598)) % 0.42/0.81 (define @t602 () (=> @t389 @t601)) % 0.42/0.81 (define @t603 () (=> @t395 @t602)) % 0.42/0.81 (define @t604 () (=> @t397 @t603)) % 0.42/0.81 (define @t605 () (=> @t399 @t604)) % 0.42/0.81 (define @t606 () (=> @t401 @t605)) % 0.42/0.81 (define @t607 () (=> @t404 @t606)) % 0.42/0.81 (define @t608 () (=> @t406 @t607)) % 0.42/0.81 (define @t609 () (=> @t410 @t608)) % 0.42/0.81 (define @t610 () (=> @t411 @t609)) % 0.42/0.81 (define @t611 () (=> @t422 @t610)) % 0.42/0.81 (define @t612 () (=> @t424 @t611)) % 0.42/0.81 (define @t613 () (=> @t77 @t612)) % 0.42/0.81 (define @t614 () (=> @t431 @t613)) % 0.42/0.81 (define @t615 () (= tptp.id @t70)) % 0.42/0.81 (define @t616 () (=> @t615 @t614)) % 0.42/0.81 (define @t617 () (=> @t581 @t616)) % 0.42/0.81 (define @t618 () (=> @t436 @t617)) % 0.42/0.81 (define @t619 () (=> @t353 @t618)) % 0.42/0.81 (define @t620 () (=> @t440 @t619)) % 0.42/0.81 (define @t621 () (=> @t584 @t620)) % 0.42/0.81 (define @t622 () (=> @t347 @t621)) % 0.42/0.81 (define @t623 () (=> @t449 @t622)) % 0.42/0.81 (define @t624 () (=> @t576 @t623)) % 0.42/0.81 (define @t625 () (=> @t453 @t624)) % 0.42/0.81 (define @t626 () (_ tptp.ap @t22)) % 0.42/0.81 (define @t627 () (_ @t626 @t2)) % 0.42/0.81 (define @t628 () (_ tptp.sub @t627)) % 0.42/0.81 (define @t629 () (_ @t628 tptp.id)) % 0.42/0.81 (define @t630 () (_ tptp.var @t629)) % 0.42/0.81 (define @t631 () (_ tptp.ap @t544)) % 0.42/0.81 (define @t632 () (not @t630)) % 0.42/0.81 (define @t633 () (@list @t37)) % 0.42/0.81 (define @t634 () (lambda @t633 (_ tptp.var (_ @t628 @t37)))) % 0.42/0.81 (define @t635 () (lambda (@list @t5 @t37) @t315)) % 0.42/0.81 (define @t636 () (lambda @t154 @t627)) % 0.42/0.81 (define @t637 () (lambda (@list @t37 @t2) @t311)) % 0.42/0.81 (define @t638 () (lambda (@list @t5 @t37 @t2) @t311)) % 0.42/0.81 (define @t639 () (_ @t312 tptp.id)) % 0.42/0.81 (define @t640 () (_ @t316 tptp.id)) % 0.42/0.81 (define @t641 () (_ (_ @t639 @t5) tptp.id)) % 0.42/0.81 (define @t642 () (_ @t641 @t2)) % 0.42/0.81 (define @t643 () (not (_ (_ @t640 @t642) tptp.id))) % 0.42/0.81 (define @t644 () (forall @t110 @t643)) % 0.42/0.81 (define @t645 () (_ tptp.sub @t313)) % 0.42/0.81 (define @t646 () (_ @t645 tptp.id)) % 0.42/0.81 (define @t647 () (_ tptp.var @t646)) % 0.42/0.81 (define @t648 () (not @t647)) % 0.42/0.81 (define @t649 () (or @t329 @t648)) % 0.42/0.81 (define @t650 () (lambda @t633 (_ tptp.var (_ @t645 @t37)))) % 0.42/0.81 (define @t651 () (lambda @t23 (_ @t301 @t5))) % 0.42/0.81 (define @t652 () (_ @t208 tptp.sh)) % 0.42/0.81 (define @t653 () (lambda @t225 @t313)) % 0.42/0.81 (define @t654 () (_ @t314 tptp.id)) % 0.42/0.81 (define @t655 () (_ @t654 @t208)) % 0.42/0.81 (define @t656 () (not (_ (_ @t640 @t655) tptp.id))) % 0.42/0.81 (define @t657 () (=> @t223 @t656)) % 0.42/0.81 (define @t658 () (forall @t225 @t657)) % 0.42/0.81 (define @t659 () (@list @t331 @t330)) % 0.42/0.81 (define @t660 () (forall @t659 @t560)) % 0.42/0.81 (define @t661 () (forall @t659 @t559)) % 0.42/0.81 (define @t662 () (or @t329 @t661)) % 0.42/0.81 (define @t663 () (forall @t110 (not (= @t322 @t545)))) % 0.42/0.81 (define @t664 () (= @t313 @t627)) % 0.42/0.81 (define @t665 () (not @t664)) % 0.42/0.81 (define @t666 () (lambda @t151 (_ @t301 @t99))) % 0.42/0.81 (define @t667 () (_ @t229 tptp.sh)) % 0.42/0.81 (define @t668 () (= (_ @t654 @t229) @t642)) % 0.42/0.81 (define @t669 () (not @t668)) % 0.42/0.81 (define @t670 () (forall @t110 @t669)) % 0.42/0.81 (define @t671 () (=> @t223 @t670)) % 0.42/0.81 (define @t672 () (forall @t225 @t671)) % 0.42/0.81 (define @t673 () (or @t338 @t337 @t336)) % 0.42/0.81 (define @t674 () (or @t329 @t673)) % 0.42/0.81 (define @t675 () (forall @t340 @t674)) % 0.42/0.81 (define @t676 () (@list @t335 @t334 @t333)) % 0.42/0.81 (define @t677 () (forall @t676 @t674)) % 0.42/0.81 (define @t678 () (forall @t676 @t673)) % 0.42/0.81 (define @t679 () (@var "BOUND_VARIABLE_9563" tptp.term)) % 0.42/0.81 (define @t680 () (@var "BOUND_VARIABLE_9561" tptp.subst)) % 0.42/0.81 (define @t681 () (or @t329 @t678)) % 0.42/0.81 (define @t682 () (= (_ @t200 @t680 @t679) (_ @t198 @t680 @t679))) % 0.42/0.81 (define @t683 () (_ @t198 tptp.sh tptp.one)) % 0.42/0.81 (define @t684 () (tptp.lam @t683)) % 0.42/0.81 (define @t685 () (not (= @t322 @t684))) % 0.42/0.81 (define @t686 () (_ @t198 @t324 @t323)) % 0.42/0.81 (define @t687 () (_ @t198 @t1 @t5)) % 0.42/0.81 (define @t688 () (tptp.sub @t687 @t37)) % 0.42/0.81 (define @t689 () (forall @t215 (= @t688 @t686))) % 0.42/0.81 (define @t690 () (not @t689)) % 0.42/0.81 (define @t691 () (or @t690 @t685 @t682)) % 0.42/0.81 (define @t692 () (forall (@list @t198 @t680 @t679) @t691)) % 0.42/0.81 (define @t693 () (@list @t680 @t679)) % 0.42/0.81 (define @t694 () (forall @t693 @t691)) % 0.42/0.81 (define @t695 () (forall @t693 @t682)) % 0.42/0.81 (define @t696 () (or @t690 @t685 @t695)) % 0.42/0.81 (define @t697 () (forall @t204 (= @t326 @t687))) % 0.42/0.81 (define @t698 () (_ @t198 tptp.sh)) % 0.42/0.81 (define @t699 () (_ @t698 tptp.one)) % 0.42/0.81 (define @t700 () (_ tptp.lam @t699)) % 0.42/0.81 (define @t701 () (= @t313 @t700)) % 0.42/0.81 (define @t702 () (not @t701)) % 0.42/0.81 (define @t703 () (or @t690 @t702 @t697)) % 0.42/0.81 (define @t704 () (=> @t701 @t697)) % 0.42/0.81 (define @t705 () (lambda @t23 (_ @t698 @t5))) % 0.42/0.81 (define @t706 () (_ @t206 tptp.sh)) % 0.42/0.81 (define @t707 () (= @t655 (_ @t654 @t206))) % 0.42/0.81 (define @t708 () (=> @t707 @t205)) % 0.42/0.81 (define @t709 () (=> @t216 @t708)) % 0.42/0.81 (define @t710 () (forall @t218 @t709)) % 0.42/0.81 (define @t711 () (=> @t223 @t710)) % 0.42/0.81 (define @t712 () (forall @t225 @t711)) % 0.42/0.81 (define @t713 () (_ @t3 tptp.id)) % 0.42/0.81 (define @t714 () (_ tptp.ap @t713)) % 0.42/0.81 (define @t715 () (_ @t714 @t96)) % 0.42/0.81 (define @t716 () (_ @t626 @t99)) % 0.42/0.81 (define @t717 () (= @t716 @t715)) % 0.42/0.81 (define @t718 () (not @t717)) % 0.42/0.81 (define @t719 () (or @t718 @t105)) % 0.42/0.81 (define @t720 () (@var "BOUND_VARIABLE_9440" tptp.term)) % 0.42/0.81 (define @t721 () (lambda (@list @t720) (_ @t714 @t720))) % 0.42/0.81 (define @t722 () (lambda (@list @t37 @t720) (_ (_ tptp.ap (_ @t3 @t37)) @t720))) % 0.42/0.81 (define @t723 () (@list @t2)) % 0.42/0.81 (define @t724 () (= (_ @t641 @t99) (_ (_ (_ @t639 @t2) tptp.id) @t96))) % 0.42/0.81 (define @t725 () (=> @t724 @t105)) % 0.42/0.81 (define @t726 () (forall @t102 @t725)) % 0.42/0.81 (define @t727 () (or @t718 @t95)) % 0.42/0.81 (define @t728 () (=> @t724 @t95)) % 0.42/0.81 (define @t729 () (forall @t102 @t728)) % 0.42/0.81 (define @t730 () (= @t5 @t22)) % 0.42/0.81 (define @t731 () (= @t1 @t67)) % 0.42/0.81 (define @t732 () (= @t1 @t45)) % 0.42/0.81 (define @t733 () (@list @t354)) % 0.42/0.81 (define @t734 () (forall @t733 @t596)) % 0.42/0.81 (define @t735 () (forall @t733 @t355)) % 0.42/0.81 (define @t736 () (@list @t5)) % 0.42/0.81 (define @t737 () (or @t370 @t366 @t595 @t735)) % 0.42/0.81 (define @t738 () (forall @t23 @t363)) % 0.42/0.81 (define @t739 () (or @t370 @t366 @t595 @t738)) % 0.42/0.81 (define @t740 () (or @t366 @t595 @t738)) % 0.42/0.81 (define @t741 () (=> @t594 @t738)) % 0.42/0.81 (define @t742 () (=> @t365 @t741)) % 0.42/0.81 (define @t743 () (or @t592 @t132)) % 0.42/0.81 (define @t744 () (not @t136)) % 0.42/0.81 (define @t745 () (or @t744 @t170)) % 0.42/0.81 (define @t746 () (not @t84)) % 0.42/0.81 (define @t747 () (or @t746 @t744 @t135)) % 0.42/0.81 (define @t748 () (not @t80)) % 0.42/0.81 (define @t749 () (or @t748 @t84)) % 0.42/0.81 (define @t750 () (or @t377 @t374)) % 0.42/0.81 (define @t751 () (or @t366 @t595 @t750)) % 0.42/0.81 (define @t752 () (forall @t378 @t751)) % 0.42/0.81 (define @t753 () (@list @t373 @t372)) % 0.42/0.81 (define @t754 () (forall @t753 @t751)) % 0.42/0.81 (define @t755 () (forall @t753 @t750)) % 0.42/0.81 (define @t756 () (or @t366 @t595 @t755)) % 0.42/0.81 (define @t757 () (_ @t83 @t345)) % 0.42/0.81 (define @t758 () (forall @t19 (or @t386 @t757))) % 0.42/0.81 (define @t759 () (or @t366 @t595 @t758)) % 0.42/0.81 (define @t760 () (=> @t594 @t758)) % 0.42/0.81 (define @t761 () (or @t386 @t165)) % 0.42/0.81 (define @t762 () (not @t153)) % 0.42/0.81 (define @t763 () (or @t762 @t152)) % 0.42/0.81 (define @t764 () (or @t382 @t381)) % 0.42/0.81 (define @t765 () (or @t386 @t364 @t764)) % 0.42/0.81 (define @t766 () (forall @t388 @t765)) % 0.42/0.81 (define @t767 () (@list @t380)) % 0.42/0.81 (define @t768 () (forall @t767 @t765)) % 0.42/0.81 (define @t769 () (forall @t767 @t764)) % 0.42/0.81 (define @t770 () (or @t386 @t364 @t769)) % 0.42/0.81 (define @t771 () (tptp.sub @t2 @t379)) % 0.42/0.81 (define @t772 () (_ @t83 @t771)) % 0.42/0.81 (define @t773 () (forall @t154 (or @t376 @t772))) % 0.42/0.81 (define @t774 () (or @t386 @t746 @t773)) % 0.42/0.81 (define @t775 () (=> @t84 @t773)) % 0.42/0.81 (define @t776 () (or @t762 @t157)) % 0.42/0.81 (define @t777 () (@list @t390)) % 0.42/0.81 (define @t778 () (forall @t777 @t394)) % 0.42/0.81 (define @t779 () (forall @t777 @t391)) % 0.42/0.81 (define @t780 () (or @t370 @t366 @t393 @t779)) % 0.42/0.81 (define @t781 () (or @t370 @t366 @t393 @t738)) % 0.42/0.81 (define @t782 () (or @t366 @t393 @t738)) % 0.42/0.81 (define @t783 () (=> @t392 @t738)) % 0.42/0.81 (define @t784 () (=> @t365 @t783)) % 0.42/0.81 (define @t785 () (or @t746 @t132)) % 0.42/0.81 (define @t786 () (not @t114)) % 0.42/0.81 (define @t787 () (or @t786 @t95)) % 0.42/0.81 (define @t788 () (not @t109)) % 0.42/0.81 (define @t789 () (or @t788 @t95)) % 0.42/0.81 (define @t790 () (not @t101)) % 0.42/0.81 (define @t791 () (or @t790 @t105)) % 0.42/0.81 (define @t792 () (or @t790 @t95)) % 0.42/0.81 (define @t793 () (or @t414 @t413)) % 0.42/0.81 (define @t794 () (or @t419 @t417 @t793)) % 0.42/0.81 (define @t795 () (forall @t421 @t794)) % 0.42/0.81 (define @t796 () (@list @t412)) % 0.42/0.81 (define @t797 () (forall @t796 @t794)) % 0.42/0.81 (define @t798 () (forall @t796 @t793)) % 0.42/0.81 (define @t799 () (or @t419 @t417 @t798)) % 0.42/0.81 (define @t800 () (not @t90)) % 0.42/0.81 (define @t801 () (or @t800 @t417 @t369)) % 0.42/0.81 (define @t802 () (=> @t416 @t369)) % 0.42/0.81 (define @t803 () (or @t748 @t746 @t86)) % 0.42/0.81 (define @t804 () (or @t748 @t79)) % 0.42/0.81 (define @t805 () (= @t1 @t74)) % 0.42/0.81 (define @t806 () (= @t1 @t50)) % 0.42/0.81 (define @t807 () (= @t5 @t18)) % 0.42/0.81 (define @t808 () (@quantifiers_skolemize @t320 1)) % 0.42/0.81 (define @t809 () (tptp.sub (@quantifiers_skolemize @t320 0) @t318)) % 0.42/0.81 (define @t810 () (tptp.ap @t809 @t808)) % 0.42/0.81 (define @t811 () (tptp.var (tptp.sub @t810 @t318))) % 0.42/0.81 (define @t812 () (not @t320)) % 0.42/0.81 (define @t813 () (not (not @t811))) % 0.42/0.81 (define @t814 () (tptp.var @t810)) % 0.42/0.81 (assume @p1 @t15) % 0.42/0.81 (assume @p2 @t21) % 0.42/0.81 (assume @p3 @t25) % 0.42/0.81 (assume @p4 @t36) % 0.42/0.81 (assume @p5 @t44) % 0.42/0.81 (assume @p6 @t48) % 0.42/0.81 (assume @p7 @t52) % 0.42/0.81 (assume @p8 @t60) % 0.42/0.81 (assume @p9 @t66) % 0.42/0.81 (assume @p10 @t69) % 0.42/0.81 (assume @p11 @t71) % 0.42/0.81 (assume @p12 @t76) % 0.42/0.81 (assume @p13 (= tptp.ulamvar1 @t77)) % 0.42/0.81 (assume @p14 @t82) % 0.42/0.81 (assume @p15 @t94) % 0.42/0.81 (assume @p16 @t104) % 0.42/0.81 (assume @p17 @t107) % 0.42/0.81 (assume @p18 @t112) % 0.42/0.81 (assume @p19 @t116) % 0.42/0.81 (assume @p20 @t122) % 0.42/0.81 (assume @p21 @t126) % 0.42/0.81 (assume @p22 @t130) % 0.42/0.81 (assume @p23 @t142) % 0.42/0.81 (assume @p24 (= tptp.pushprop_lem0 (forall @t146 (exists @t145 @t144)))) % 0.42/0.81 (assume @p25 (= tptp.pushprop_lem0_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction tptp.pushprop_lem0))))))))))))))))))))))))) % 0.42/0.81 (assume @p26 (= tptp.pushprop_lem0_lthm tptp.pushprop_lem0)) % 0.42/0.81 (assume @p27 (= tptp.pushprop_lem1 (forall (@list @t83 @t148 @t5 @t1 @t2) (=> @t84 (_ @t148 (_ @t6 (_ @t147 @t1))))))) % 0.42/0.81 (assume @p28 (= tptp.pushprop_lem1_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction tptp.pushprop_lem1))))))))))))))))))))))))) % 0.42/0.81 (assume @p29 (= tptp.pushprop_lem1_lthm (=> tptp.axvarcons (=> tptp.axclos (=> tptp.axshiftcons (=> tptp.ulamvarind tptp.pushprop_lem1)))))) % 0.42/0.81 (assume @p30 (= tptp.pushprop_lem1v2 (forall @t149 (=> @t84 (=> @t144 (_ @t143 tptp.one)))))) % 0.42/0.81 (assume @p31 (= tptp.pushprop_lem1v2_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction tptp.pushprop_lem1v2))))))))))))))))))))))))) % 0.42/0.81 (assume @p32 (= tptp.pushprop_lem1v2_lthm (=> tptp.axvarcons tptp.pushprop_lem1v2))) % 0.42/0.81 (assume @p33 (= tptp.pushprop_lem2v2 (forall @t149 (=> @t144 (=> @t155 (forall @t151 (=> (_ tptp.var @t99) (=> (_ @t143 @t99) (_ @t143 (_ @t150 tptp.sh)))))))))) % 0.42/0.81 (assume @p34 (= tptp.pushprop_lem2v2_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction tptp.pushprop_lem2v2))))))))))))))))))))))))) % 0.42/0.81 (assume @p35 (= tptp.pushprop_lem2v2_lthm (=> tptp.axclos (=> tptp.axshiftcons tptp.pushprop_lem2v2)))) % 0.42/0.81 (assume @p36 (= tptp.pushprop_lem3v2 (forall @t149 (=> @t144 (=> (forall @t154 (=> @t153 @t159)) @t158))))) % 0.42/0.81 (assume @p37 (= tptp.pushprop_lem3v2_lthm tptp.pushprop_lem3v2)) % 0.42/0.81 (assume @p38 @t163) % 0.42/0.81 (assume @p39 (= tptp.pushprop_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction tptp.pushprop))))))))))))))))))))))))) % 0.42/0.81 (assume @p40 (= tptp.pushprop_lthm_orig @t164)) % 0.42/0.81 (assume @p41 (= tptp.pushprop_lthm (=> tptp.pushprop_lem0 @t164))) % 0.42/0.81 (assume @p42 @t177) % 0.42/0.81 (assume @p43 (= tptp.induction2lem_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar @t178)))))))))))))))))))))))) % 0.42/0.81 (assume @p44 (= tptp.induction2lem_lthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axabs (=> tptp.axclos (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr @t178)))))))))) % 0.42/0.81 (assume @p45 @t183) % 0.42/0.81 (assume @p46 (= tptp.induction2_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction (=> tptp.pushprop @t184)))))))))))))))))))))))))) % 0.42/0.81 (assume @p47 (= tptp.induction2_lthm (=> tptp.axvarid @t184))) % 0.42/0.81 (assume @p48 @t186) % 0.42/0.81 (assume @p49 (= tptp.substmonoid_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction (=> tptp.pushprop (=> tptp.induction2lem (=> tptp.induction2 tptp.substmonoid)))))))))))))))))))))))))))) % 0.42/0.81 (assume @p50 (= tptp.substmonoid_lthm (=> tptp.axidl (=> tptp.axassoc (=> tptp.axidr tptp.substmonoid))))) % 0.42/0.81 (assume @p51 @t188) % 0.42/0.81 (assume @p52 (= tptp.termmset_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction (=> tptp.pushprop (=> tptp.induction2lem (=> tptp.induction2 (=> tptp.substmonoid tptp.termmset))))))))))))))))))))))))))))) % 0.42/0.81 (assume @p53 (= tptp.termmset_lthm (=> tptp.axvarid (=> tptp.axclos tptp.termmset)))) % 0.42/0.81 (assume @p54 @t194) % 0.42/0.81 (assume @p55 (= tptp.hoasapinj1_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction (=> tptp.pushprop (=> tptp.induction2lem (=> tptp.induction2 (=> tptp.substmonoid (=> tptp.termmset tptp.hoasapinj1)))))))))))))))))))))))))))))) % 0.42/0.81 (assume @p56 (= tptp.hoasapinj1_lthm (=> tptp.axvarid (=> tptp.apinj1 tptp.hoasapinj1)))) % 0.42/0.81 (assume @p57 @t197) % 0.42/0.81 (assume @p58 (= tptp.hoasapinj2_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction (=> tptp.pushprop (=> tptp.induction2lem (=> tptp.induction2 (=> tptp.substmonoid (=> tptp.termmset (=> tptp.hoasapinj1 tptp.hoasapinj2))))))))))))))))))))))))))))))) % 0.42/0.81 (assume @p59 (= tptp.hoasapinj2_lthm (=> tptp.apinj2 tptp.hoasapinj2))) % 0.42/0.81 (assume @p60 @t227) % 0.42/0.81 (assume @p61 (= tptp.hoaslaminj_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction (=> tptp.pushprop (=> tptp.induction2lem (=> tptp.induction2 (=> tptp.substmonoid (=> tptp.termmset (=> tptp.hoasapinj1 (=> tptp.hoasapinj2 tptp.hoaslaminj)))))))))))))))))))))))))))))))) % 0.42/0.81 (assume @p62 (= tptp.hoaslaminj_lthm (=> tptp.axvarcons (=> tptp.axshiftcons (=> tptp.laminj tptp.hoaslaminj))))) % 0.42/0.81 (assume @p63 @t235) % 0.42/0.81 (assume @p64 (= tptp.hoaslamnotap_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction (=> tptp.pushprop (=> tptp.induction2lem (=> tptp.induction2 (=> tptp.substmonoid (=> tptp.termmset (=> tptp.hoasapinj1 (=> tptp.hoasapinj2 (=> tptp.hoaslaminj tptp.hoaslamnotap))))))))))))))))))))))))))))))))) % 0.42/0.81 (assume @p65 (= tptp.hoaslamnotap_lthm (=> tptp.lamnotap tptp.hoaslamnotap))) % 0.42/0.81 (assume @p66 @t240) % 0.42/0.81 (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)))))))))))))))))))))))))))))))))) % 0.42/0.81 (assume @p68 (= tptp.hoaslamnotvar_lthm (=> tptp.axvarid (=> tptp.lamnotvar tptp.hoaslamnotvar)))) % 0.42/0.81 (assume @p69 @t243) % 0.42/0.81 (assume @p70 @t277) % 0.42/0.81 (assume @p71 (= tptp.hoasapnotvar_lthm (=> tptp.axvarid (=> tptp.apnotvar tptp.hoasapnotvar)))) % 0.42/0.81 (assume @p72 (= tptp.hoasinduction_lem0 (forall @t280 (exists @t145 @t279)))) % 0.42/0.81 (assume @p73 (= tptp.hoasinduction_lem0_lthm tptp.hoasinduction_lem0)) % 0.42/0.81 (assume @p74 (= tptp.hoasinduction_lem1v2 (forall @t290 (=> @t289 (=> @t288 (=> @t284 (=> @t279 (forall @t23 (=> @t80 @t281))))))))) % 0.42/0.81 (assume @p75 (= tptp.hoasinduction_lem1v2_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction (=> tptp.pushprop (=> tptp.induction2lem (=> tptp.induction2 (=> tptp.substmonoid (=> tptp.termmset (=> tptp.hoasapinj1 (=> tptp.hoasapinj2 (=> tptp.hoaslaminj (=> tptp.hoaslamnotap (=> tptp.hoaslamnotvar (=> tptp.hoasapnotvar tptp.hoasinduction_lem1v2)))))))))))))))))))))))))))))))))))) % 0.42/0.81 (assume @p76 (= tptp.hoasinduction_lem2v2 (forall @t290 (=> @t289 (=> @t288 (=> @t292 (=> @t279 (forall @t110 (=> @t281 (=> @t159 (_ @t143 @t10))))))))))) % 0.42/0.81 (assume @p77 (= tptp.hoasinduction_lem2v2_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction (=> tptp.pushprop (=> tptp.induction2lem (=> tptp.induction2 (=> tptp.substmonoid (=> tptp.termmset (=> tptp.hoasapinj1 (=> tptp.hoasapinj2 (=> tptp.hoaslaminj (=> tptp.hoaslamnotap (=> tptp.hoaslamnotvar (=> tptp.hoasapnotvar tptp.hoasinduction_lem2v2)))))))))))))))))))))))))))))))))))) % 0.42/0.81 (assume @p78 (= tptp.hoasinduction_lem3v2_f (forall @t154 (exists @t225 (forall @t19 (= @t202 @t156)))))) % 0.42/0.81 (assume @p79 (= tptp.hoasinduction_lem3v2_f_lthm tptp.hoasinduction_lem3v2_f)) % 0.42/0.81 (assume @p80 (= tptp.hoasinduction_lem3v2 (forall @t290 (=> @t289 (=> @t288 @t295))))) % 0.42/0.81 (assume @p81 (= tptp.hoasinduction_lem3v2_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction (=> tptp.pushprop (=> tptp.induction2lem (=> tptp.induction2 (=> tptp.substmonoid (=> tptp.termmset (=> tptp.hoasapinj1 (=> tptp.hoasapinj2 (=> tptp.hoaslaminj (=> tptp.hoaslamnotap (=> tptp.hoaslamnotvar (=> tptp.hoasapnotvar tptp.hoasinduction_lem3v2)))))))))))))))))))))))))))))))))))) % 0.42/0.81 (assume @p82 (= tptp.hoasinduction_lem3v2_lthm (=> tptp.axvarid (=> tptp.axvarshift (=> tptp.axclos (=> tptp.axmap tptp.hoasinduction_lem3v2)))))) % 0.42/0.81 (assume @p83 (= tptp.hoasinduction_lem3v2a (forall @t290 @t295))) % 0.42/0.81 (assume @p84 (= tptp.hoasinduction_lem3v2a_lthm (=> tptp.hoasinduction_lem3v2_f (=> tptp.axvarid (=> tptp.axvarshift (=> tptp.axclos (=> tptp.axmap tptp.hoasinduction_lem3v2a))))))) % 0.42/0.81 (assume @p85 (= tptp.hoasinduction_lem1 (forall @t280 (=> @t289 (=> @t288 (=> @t284 (forall @t23 (=> @t80 @t283)))))))) % 0.42/0.81 (assume @p86 (= tptp.hoasinduction_lem1_gthm @t296)) % 0.42/0.81 (assume @p87 (= tptp.hoasinduction_lem1_lthm @t296)) % 0.42/0.81 (assume @p88 (= tptp.hoasinduction_lem2 (forall @t280 (=> @t289 (=> @t288 (=> @t292 (forall @t110 (=> @t283 (=> @t291 (_ (_ @t282 @t10) tptp.id)))))))))) % 0.42/0.81 (assume @p89 (= tptp.hoasinduction_lem2_gthm @t297)) % 0.42/0.81 (assume @p90 (= tptp.hoasinduction_lem2_lthm @t297)) % 0.42/0.81 (assume @p91 (= tptp.hoasinduction_lem3aa (forall @t280 (=> @t294 @t299)))) % 0.42/0.81 (assume @p92 (= tptp.hoasinduction_lem3aa_lthm (=> tptp.axclos (=> tptp.axmap tptp.hoasinduction_lem3aa)))) % 0.42/0.81 (assume @p93 (= tptp.hoasinduction_lem3aaa (forall @t280 (=> (forall @t225 (=> (exists @t151 (forall @t215 (and (= @t221 (_ (_ tptp.sub (_ @t150 @t16)) @t37)) (= (_ @t150 @t62) @t220)))) @t293)) @t299)))) % 0.42/0.81 (assume @p94 (= tptp.hoasinduction_lem3 (forall @t280 (=> @t289 (=> @t288 @t300))))) % 0.42/0.81 (assume @p95 (= tptp.hoasinduction_lem3_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction (=> tptp.pushprop (=> tptp.induction2lem (=> tptp.induction2 (=> tptp.substmonoid (=> tptp.termmset (=> tptp.hoasapinj1 (=> tptp.hoasapinj2 (=> tptp.hoaslaminj (=> tptp.hoaslamnotap (=> tptp.hoaslamnotvar (=> tptp.hoasapnotvar (=> tptp.hoasinduction_lem1 (=> tptp.hoasinduction_lem2 tptp.hoasinduction_lem3)))))))))))))))))))))))))))))))))))))) % 0.42/0.81 (assume @p96 (= tptp.hoasinduction_lem3_lthm (=> tptp.axvarid (=> tptp.axvarshift (=> tptp.hoasinduction_lem3aa tptp.hoasinduction_lem3))))) % 0.42/0.81 (assume @p97 (= tptp.hoasinduction_lem3a (forall @t280 @t300))) % 0.42/0.81 (assume @p98 (= tptp.hoasinduction_lem3a_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction (=> tptp.pushprop (=> tptp.induction2lem (=> tptp.induction2 (=> tptp.substmonoid (=> tptp.termmset (=> tptp.hoasapinj1 (=> tptp.hoasapinj2 (=> tptp.hoaslaminj (=> tptp.hoaslamnotap (=> tptp.hoaslamnotvar (=> tptp.hoasapnotvar (=> tptp.hoasinduction_lem1 (=> tptp.hoasinduction_lem2 tptp.hoasinduction_lem3a)))))))))))))))))))))))))))))))))))))) % 0.42/0.81 (assume @p99 (= tptp.hoasinduction_lem3a_lthm (=> tptp.axvarid (=> tptp.axvarshift (=> tptp.hoasinduction_lem3aa tptp.hoasinduction_lem3a))))) % 0.42/0.81 (assume @p100 (= tptp.hoasinduction_lem3b (forall @t154 (exists @t225 (= (_ @t3 @t70) @t302))))) % 0.42/0.81 (assume @p101 (= tptp.hoasinduction_lem3b_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction (=> tptp.pushprop (=> tptp.induction2lem (=> tptp.induction2 (=> tptp.substmonoid (=> tptp.termmset (=> tptp.hoasapinj1 (=> tptp.hoasapinj2 (=> tptp.hoaslaminj (=> tptp.hoaslamnotap (=> tptp.hoaslamnotvar (=> tptp.hoasapnotvar (=> tptp.hoasinduction_lem1 (=> tptp.hoasinduction_lem2 tptp.hoasinduction_lem3b)))))))))))))))))))))))))))))))))))))) % 0.42/0.81 (assume @p102 (= tptp.hoasinduction_lem3b_lthm tptp.hoasinduction_lem3b)) % 0.42/0.81 (assume @p103 (= tptp.hoasinduction (forall @t280 (=> @t289 (=> @t288 (=> @t284 @t303)))))) % 0.42/0.81 (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 @t304)))))))))))))))))))))))))))))))))))) % 0.42/0.81 (assume @p105 (= tptp.hoasinduction_lthm (=> tptp.induction2 @t304))) % 0.42/0.81 (assume @p106 (= tptp.hoasinduction_lthm_3 (=> tptp.hoasinduction_lem0 (=> tptp.induction2 (=> tptp.axvarid (=> tptp.hoasinduction_lem3v2a tptp.hoasinduction)))))) % 0.42/0.81 (assume @p107 (= tptp.hoasinduction_no_psi_cond (forall @t280 @t303))) % 0.42/0.81 (assume @p108 (= tptp.hoasinduction_no_psi_cond_lthm (=> tptp.hoasinduction_lem0 (=> tptp.induction2 (=> tptp.axvarid (=> tptp.hoasinduction_lem3v2a tptp.hoasinduction_no_psi_cond)))))) % 0.42/0.81 (assume @p109 @t305) % 0.42/0.81 (assume @p110 true) % 0.42/0.81 (step @p111 (= tptp.pushprop_p_and_p_prime @t309) :rule refl :args (@t309)) % 0.42/0.81 (step @p112 (= tptp.hoasap @t312) :rule refl :args (@t312)) % 0.42/0.81 (step @p113 (= tptp.hoaslam @t314) :rule refl :args (@t314)) % 0.42/0.81 (step @p114 (= tptp.hoasvar @t316) :rule refl :args (@t316)) % 0.42/0.81 (step @p115 (= tptp.hoasinduction_p_and_p_prime @t317) :rule refl :args (@t317)) % 0.42/0.81 (step @p116 :rule refl :args (@t425)) % 0.42/0.81 (step @p117 :rule refl :args (@t426)) % 0.42/0.81 (step @p118 :rule refl :args (@t77)) % 0.42/0.81 (step @p119 :rule cong :premises (@p118 @p117) :args ((= @t77 @t426))) % 0.42/0.81 (step @p120 :rule symm :premises (@p119)) % 0.42/0.81 (step @p121 :rule eq_resolve :premises (@p118 @p120)) % 0.42/0.81 (step @p122 :rule cong :premises (@p121 @p116) :args (@t427)) % 0.42/0.81 (step @p123 :rule refl :args (@t431)) % 0.42/0.81 (step @p124 :rule cong :premises (@p123 @p122) :args (@t432)) % 0.42/0.81 (step @p125 :rule refl :args (@t348)) % 0.42/0.81 (step @p126 :rule cong :premises (@p125 @p124) :args (@t433)) % 0.42/0.81 (step @p127 :rule refl :args (@t436)) % 0.42/0.81 (step @p128 :rule cong :premises (@p127 @p126) :args (@t437)) % 0.42/0.81 (step @p129 :rule refl :args (@t353)) % 0.42/0.81 (step @p130 :rule cong :premises (@p129 @p128) :args (@t438)) % 0.42/0.81 (step @p131 :rule refl :args (@t440)) % 0.42/0.81 (step @p132 :rule cong :premises (@p131 @p130) :args (@t441)) % 0.42/0.81 (step @p133 :rule refl :args (@t349)) % 0.42/0.81 (step @p134 :rule cong :premises (@p133 @p132) :args (@t442)) % 0.42/0.81 (step @p135 :rule refl :args (@t347)) % 0.42/0.81 (step @p136 :rule cong :premises (@p135 @p134) :args (@t443)) % 0.42/0.81 (step @p137 :rule refl :args (@t449)) % 0.42/0.81 (step @p138 :rule cong :premises (@p137 @p136) :args (@t450)) % 0.42/0.81 (step @p139 :rule refl :args (@t343)) % 0.42/0.81 (step @p140 :rule cong :premises (@p139 @p138) :args (@t451)) % 0.42/0.81 (step @p141 :rule refl :args (@t453)) % 0.42/0.81 (step @p142 :rule cong :premises (@p141 @p140) :args (@t454)) % 0.42/0.81 (step @p143 :rule refl :args (@t457)) % 0.42/0.81 (step @p144 :rule cong :premises (@p143 @p142) :args (@t458)) % 0.42/0.81 (step @p145 :rule cong :premises (@p144) :args ((not @t458))) % 0.42/0.81 (step @p146 :rule bool-impl-true2 :args (@t432)) % 0.42/0.81 (step @p147 :rule refl :args (@t318)) % 0.42/0.81 (step @p148 :rule refl :args (@t70)) % 0.42/0.81 (step @p149 :rule cong :premises (@p148 @p147) :args ((= @t70 @t318))) % 0.42/0.81 (step @p150 :rule symm :premises (@p149)) % 0.42/0.81 (step @p151 :rule eq_resolve :premises (@p148 @p150)) % 0.42/0.81 (step @p152 :rule refl :args (@t2)) % 0.42/0.81 (step @p153 :rule refl :args (@t5)) % 0.42/0.81 (step @p154 :rule cong :premises (@p153 @p151) :args (@t459)) % 0.42/0.81 (step @p155 :rule cong :premises (@p154 @p152) :args (@t460)) % 0.42/0.81 (step @p156 :rule cong :premises (@p155 @p151) :args (@t461)) % 0.42/0.81 (step @p157 :rule cong :premises (@p156) :args (@t462)) % 0.42/0.81 (step @p158 :rule cong :premises (@p157) :args (@t463)) % 0.42/0.81 (step @p159 :rule cong :premises (@p158) :args (@t464)) % 0.42/0.81 (step @p160 :rule refl :args (@t322)) % 0.42/0.81 (step @p161 :rule cong :premises (@p160 @p151) :args (@t465)) % 0.42/0.81 (step @p162 :rule cong :premises (@p161) :args (@t466)) % 0.42/0.81 (step @p163 :rule cong :premises (@p162) :args (@t467)) % 0.42/0.81 (step @p164 :rule refl :args (@t329)) % 0.42/0.81 (step @p165 :rule nary_cong :premises (@p164 @p163) :args (@t468)) % 0.42/0.81 (step @p166 :rule cong :premises (@p165) :args (@t469)) % 0.42/0.81 (step @p167 :rule cong :premises (@p166 @p159) :args (@t470)) % 0.42/0.81 (step @p168 :rule refl :args (@t330)) % 0.42/0.81 (step @p169 :rule refl :args (@t331)) % 0.42/0.81 (step @p170 :rule cong :premises (@p169 @p151) :args (@t471)) % 0.42/0.81 (step @p171 :rule cong :premises (@p170 @p168) :args (@t472)) % 0.42/0.81 (step @p172 :rule cong :premises (@p160 @p171) :args (@t473)) % 0.42/0.81 (step @p173 :rule cong :premises (@p172) :args (@t474)) % 0.42/0.81 (step @p174 :rule nary_cong :premises (@p164 @p173) :args (@t475)) % 0.42/0.81 (step @p175 :rule cong :premises (@p174) :args (@t476)) % 0.42/0.81 (step @p176 :rule cong :premises (@p175 @p167) :args (@t477)) % 0.42/0.81 (step @p177 :rule refl :args (@t341)) % 0.42/0.81 (step @p178 :rule cong :premises (@p177 @p176) :args (@t478)) % 0.42/0.81 (step @p179 :rule refl :args (@t105)) % 0.42/0.81 (step @p180 :rule refl :args (@t99)) % 0.42/0.81 (step @p181 :rule cong :premises (@p154 @p180) :args (@t479)) % 0.42/0.81 (step @p182 :rule refl :args (@t96)) % 0.42/0.81 (step @p183 :rule cong :premises (@p152 @p151) :args (@t480)) % 0.42/0.81 (step @p184 :rule cong :premises (@p183 @p182) :args (@t481)) % 0.42/0.81 (step @p185 :rule cong :premises (@p184 @p181) :args (@t482)) % 0.42/0.81 (step @p186 :rule cong :premises (@p185) :args (@t483)) % 0.42/0.81 (step @p187 :rule nary_cong :premises (@p186 @p179) :args (@t484)) % 0.42/0.81 (step @p188 :rule cong :premises (@p187) :args ((forall @t102 @t484))) % 0.42/0.81 (step @p189 :rule refl :args (@t105)) % 0.42/0.81 (step @p190 :rule eq-symm :args (@t479 @t481)) % 0.42/0.81 (step @p191 :rule cong :premises (@p190) :args (@t485)) % 0.42/0.81 (step @p192 :rule nary_cong :premises (@p191 @p189) :args (@t486)) % 0.42/0.81 (step @p193 :rule cong :premises (@p192) :args (@t487)) % 0.42/0.81 (step @p194 :rule trans :premises (@p193 @p188)) % 0.42/0.81 (step @p195 :rule cong :premises (@p194 @p178) :args (@t488)) % 0.42/0.81 (step @p196 :rule refl :args (@t95)) % 0.42/0.81 (step @p197 :rule nary_cong :premises (@p186 @p196) :args (@t489)) % 0.42/0.81 (step @p198 :rule cong :premises (@p197) :args ((forall @t102 @t489))) % 0.42/0.81 (step @p199 :rule refl :args (@t95)) % 0.42/0.81 (step @p200 :rule nary_cong :premises (@p191 @p199) :args (@t490)) % 0.42/0.81 (step @p201 :rule cong :premises (@p200) :args (@t491)) % 0.42/0.81 (step @p202 :rule trans :premises (@p201 @p198)) % 0.42/0.81 (step @p203 :rule cong :premises (@p202 @p195) :args (@t492)) % 0.42/0.81 (step @p204 :rule cong :premises (@p153 @p154) :args (@t493)) % 0.42/0.81 (step @p205 :rule cong :premises (@p204) :args (@t494)) % 0.42/0.81 (step @p206 :rule nary_cong :premises (@p135 @p205) :args (@t495)) % 0.42/0.81 (step @p207 :rule cong :premises (@p206 @p203) :args (@t496)) % 0.42/0.81 (step @p208 :rule refl :args (@t1)) % 0.42/0.81 (step @p209 :rule cong :premises (@p208 @p151) :args (@t497)) % 0.42/0.81 (step @p210 :rule cong :premises (@p208 @p209) :args (@t498)) % 0.42/0.81 (step @p211 :rule cong :premises (@p210) :args (@t499)) % 0.42/0.81 (step @p212 :rule cong :premises (@p151 @p208) :args (@t500)) % 0.42/0.81 (step @p213 :rule cong :premises (@p208 @p212) :args (@t501)) % 0.42/0.81 (step @p214 :rule cong :premises (@p213) :args (@t502)) % 0.42/0.81 (step @p215 :rule nary_cong :premises (@p129 @p214 @p211) :args (@t503)) % 0.42/0.81 (step @p216 :rule cong :premises (@p215 @p207) :args (@t504)) % 0.42/0.81 (step @p217 :rule refl :args (@t355)) % 0.42/0.81 (step @p218 :rule refl :args (@t357)) % 0.42/0.81 (step @p219 :rule cong :premises (@p152 @p151) :args (@t505)) % 0.42/0.81 (step @p220 :rule cong :premises (@p153 @p219) :args (@t506)) % 0.42/0.81 (step @p221 :rule cong :premises (@p220) :args (@t507)) % 0.42/0.81 (step @p222 :rule refl :args (@t359)) % 0.42/0.81 (step @p223 :rule nary_cong :premises (@p222 @p221) :args (@t508)) % 0.42/0.81 (step @p224 :rule cong :premises (@p223) :args (@t509)) % 0.42/0.81 (step @p225 :rule cong :premises (@p224) :args (@t510)) % 0.42/0.81 (step @p226 :rule nary_cong :premises (@p225 @p218) :args (@t511)) % 0.42/0.81 (step @p227 :rule cong :premises (@p226) :args (@t512)) % 0.42/0.81 (step @p228 :rule cong :premises (@p227) :args (@t513)) % 0.42/0.81 (step @p229 :rule refl :args (@t366)) % 0.42/0.81 (step @p230 :rule refl :args (@t370)) % 0.42/0.81 (step @p231 :rule nary_cong :premises (@p230 @p229 @p228 @p217) :args (@t514)) % 0.42/0.81 (step @p232 :rule cong :premises (@p231) :args (@t515)) % 0.42/0.81 (step @p233 :rule cong :premises (@p232 @p216) :args (@t516)) % 0.42/0.81 (step @p234 :rule refl :args (@t374)) % 0.42/0.81 (step @p235 :rule refl :args (@t377)) % 0.42/0.81 (step @p236 :rule nary_cong :premises (@p229 @p228 @p235 @p234) :args (@t517)) % 0.42/0.81 (step @p237 :rule cong :premises (@p236) :args (@t518)) % 0.42/0.81 (step @p238 :rule cong :premises (@p237 @p233) :args (@t519)) % 0.42/0.81 (step @p239 :rule refl :args (@t389)) % 0.42/0.81 (step @p240 :rule cong :premises (@p239 @p238) :args (@t520)) % 0.42/0.81 (step @p241 :rule refl :args (@t395)) % 0.42/0.81 (step @p242 :rule cong :premises (@p241 @p240) :args (@t521)) % 0.42/0.81 (step @p243 :rule refl :args (@t397)) % 0.42/0.81 (step @p244 :rule cong :premises (@p243 @p242) :args (@t522)) % 0.42/0.81 (step @p245 :rule refl :args (@t399)) % 0.42/0.81 (step @p246 :rule cong :premises (@p245 @p244) :args (@t523)) % 0.42/0.81 (step @p247 :rule refl :args (@t401)) % 0.42/0.81 (step @p248 :rule cong :premises (@p247 @p246) :args (@t524)) % 0.42/0.81 (step @p249 :rule refl :args (@t404)) % 0.42/0.81 (step @p250 :rule cong :premises (@p249 @p248) :args (@t525)) % 0.42/0.81 (step @p251 :rule refl :args (@t406)) % 0.42/0.81 (step @p252 :rule cong :premises (@p251 @p250) :args (@t526)) % 0.42/0.81 (step @p253 :rule refl :args (@t410)) % 0.42/0.81 (step @p254 :rule cong :premises (@p253 @p252) :args (@t527)) % 0.42/0.81 (step @p255 :rule refl :args (@t411)) % 0.42/0.81 (step @p256 :rule cong :premises (@p255 @p254) :args (@t528)) % 0.42/0.81 (step @p257 :rule refl :args (@t422)) % 0.42/0.81 (step @p258 :rule cong :premises (@p257 @p256) :args (@t529)) % 0.42/0.81 (step @p259 :rule refl :args (@t424)) % 0.42/0.81 (step @p260 :rule cong :premises (@p259 @p258) :args (@t530)) % 0.42/0.81 (step @p261 :rule refl :args (@t77)) % 0.42/0.81 (step @p262 :rule cong :premises (@p261 @p260) :args (@t531)) % 0.42/0.81 (step @p263 :rule cong :premises (@p123 @p262) :args (@t532)) % 0.42/0.81 (step @p264 :rule eq-refl :args (@t70)) % 0.42/0.81 (step @p265 :rule cong :premises (@p264 @p263) :args (@t533)) % 0.42/0.81 (step @p266 :rule trans :premises (@p265 @p146)) % 0.42/0.81 (step @p267 :rule cong :premises (@p211 @p266) :args (@t534)) % 0.42/0.81 (step @p268 :rule cong :premises (@p127 @p267) :args (@t535)) % 0.42/0.81 (step @p269 :rule cong :premises (@p129 @p268) :args (@t536)) % 0.42/0.81 (step @p270 :rule cong :premises (@p131 @p269) :args (@t537)) % 0.42/0.81 (step @p271 :rule cong :premises (@p214 @p270) :args (@t538)) % 0.42/0.81 (step @p272 :rule cong :premises (@p135 @p271) :args (@t539)) % 0.42/0.81 (step @p273 :rule cong :premises (@p137 @p272) :args (@t540)) % 0.42/0.81 (step @p274 :rule cong :premises (@p205 @p273) :args (@t541)) % 0.42/0.81 (step @p275 :rule cong :premises (@p141 @p274) :args (@t542)) % 0.42/0.81 (step @p276 :rule cong :premises (@p143 @p275) :args (@t543)) % 0.42/0.81 (step @p277 :rule cong :premises (@p276) :args ((not @t543))) % 0.42/0.81 (step @p278 :rule eq-symm :args (@t70 tptp.id)) % 0.42/0.81 (step @p279 :rule refl :args (tptp.axvarshift)) % 0.42/0.81 (step @p280 :rule cong :premises (@p279 @p278) :args (@t71)) % 0.42/0.81 (step @p281 :rule eq_resolve :premises (@p11 @p280)) % 0.42/0.81 (step @p282 :rule equiv_elim2 :premises (@p70)) % 0.42/0.81 (step @p283 :rule resolution :premises (@p282 @p109) :args (true tptp.hoasapnotvar_gthm)) % 0.42/0.81 (step @p284 :rule not_implies_elim2 :premises (@p283)) % 0.42/0.81 (step @p285 :rule not_implies_elim2 :premises (@p284)) % 0.42/0.81 (step @p286 :rule not_implies_elim2 :premises (@p285)) % 0.42/0.81 (step @p287 :rule not_implies_elim2 :premises (@p286)) % 0.42/0.81 (step @p288 :rule not_implies_elim2 :premises (@p287)) % 0.42/0.81 (step @p289 :rule not_implies_elim2 :premises (@p288)) % 0.42/0.81 (step @p290 :rule not_implies_elim2 :premises (@p289)) % 0.42/0.81 (step @p291 :rule not_implies_elim2 :premises (@p290)) % 0.42/0.81 (step @p292 :rule not_implies_elim2 :premises (@p291)) % 0.42/0.81 (step @p293 :rule not_implies_elim2 :premises (@p292)) % 0.42/0.81 (step @p294 :rule not_implies_elim1 :premises (@p293)) % 0.42/0.81 (step @p295 :rule eq_resolve :premises (@p294 @p281)) % 0.42/0.81 (step @p296 :rule refl :args (@t2)) % 0.42/0.81 (step @p297 :rule refl :args (@t5)) % 0.42/0.81 (step @p298 :rule cong :premises (@p297 @p295) :args (@t544)) % 0.42/0.81 (step @p299 :rule cong :premises (@p298 @p296) :args (@t545)) % 0.42/0.81 (step @p300 :rule cong :premises (@p299 @p295) :args (@t546)) % 0.42/0.81 (step @p301 :rule cong :premises (@p300) :args (@t547)) % 0.42/0.81 (step @p302 :rule cong :premises (@p301) :args (@t548)) % 0.42/0.81 (step @p303 :rule cong :premises (@p302) :args (@t549)) % 0.42/0.81 (step @p304 :rule refl :args (@t322)) % 0.42/0.81 (step @p305 :rule cong :premises (@p304 @p295) :args (@t550)) % 0.42/0.81 (step @p306 :rule cong :premises (@p305) :args (@t551)) % 0.42/0.81 (step @p307 :rule cong :premises (@p306) :args (@t552)) % 0.42/0.81 (step @p308 :rule refl :args (@t329)) % 0.42/0.81 (step @p309 :rule nary_cong :premises (@p308 @p307) :args (@t553)) % 0.42/0.81 (step @p310 :rule cong :premises (@p309) :args (@t554)) % 0.42/0.81 (step 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:premises (@p1662)) % 0.42/0.81 (step @p1664 :rule not_implies_elim2 :premises (@p1663)) % 0.42/0.81 (step @p1665 :rule not_implies_elim2 :premises (@p1664)) % 0.42/0.81 (step @p1666 :rule not_implies_elim2 :premises (@p1665)) % 0.42/0.81 (step @p1667 :rule not_implies_elim2 :premises (@p1666)) % 0.42/0.81 (step @p1668 :rule not_implies_elim2 :premises (@p1667)) % 0.42/0.81 (step @p1669 :rule not_implies_elim2 :premises (@p1668)) % 0.42/0.81 (step @p1670 :rule not_implies_elim2 :premises (@p1669)) % 0.42/0.81 (step @p1671 :rule not_implies_elim2 :premises (@p1670)) % 0.42/0.81 (step @p1672 :rule not_implies_elim2 :premises (@p1671)) % 0.42/0.81 (step @p1673 :rule not_implies_elim2 :premises (@p1672)) % 0.42/0.81 (step @p1674 :rule not_implies_elim2 :premises (@p1673)) % 0.42/0.81 (step @p1675 :rule not_implies_elim2 :premises (@p1674)) % 0.42/0.81 (step @p1676 :rule not_implies_elim2 :premises (@p1675)) % 0.42/0.81 (step @p1677 :rule not_implies_elim1 :premises (@p1676)) % 0.42/0.81 (step @p1678 :rule not_implies_elim2 :premises (@p1676)) % 0.42/0.81 (step @p1679 :rule not_implies_elim2 :premises (@p1678)) % 0.42/0.81 (step @p1680 :rule not_implies_elim2 :premises (@p1679)) % 0.42/0.81 (step @p1681 :rule not_implies_elim2 :premises (@p1680)) % 0.42/0.81 (step @p1682 :rule not_implies_elim2 :premises (@p1681)) % 0.42/0.81 (step @p1683 :rule not_implies_elim2 :premises (@p1682)) % 0.42/0.81 (step @p1684 :rule not_implies_elim2 :premises (@p1683)) % 0.42/0.81 (step @p1685 :rule not_implies_elim2 :premises (@p1684)) % 0.42/0.81 (step @p1686 :rule not_implies_elim2 :premises (@p1685)) % 0.42/0.81 (step @p1687 :rule not_implies_elim2 :premises (@p1686)) % 0.42/0.81 (step @p1688 :rule not_implies_elim2 :premises (@p1687)) % 0.42/0.81 (step @p1689 :rule not_implies_elim2 :premises (@p1688)) % 0.42/0.81 (step @p1690 :rule not_implies_elim2 :premises (@p1689)) % 0.42/0.81 (step @p1691 :rule refl :args (@t811)) % 0.42/0.81 (step @p1692 :rule bool-double-not-elim :args (@t320)) % 0.42/0.81 (step @p1693 :rule nary_cong :premises (@p1692 @p1691) :args ((or (not @t812) @t811))) % 0.42/0.81 (step @p1694 :rule bool-double-not-elim :args (@t811)) % 0.42/0.81 (step @p1695 :rule refl :args (@t812)) % 0.42/0.81 (step @p1696 :rule cong :premises (@p1695 @p1694) :args ((=> @t812 @t813))) % 0.42/0.81 (assume-push @p1717 @t812) % 0.42/0.81 (step @p1698 :rule skolemize :premises (@p1690)) % 0.42/0.81 (step-pop @p1718 :rule scope :premises (@p1698)) % 0.42/0.81 (step @p1699 :rule process_scope :premises (@p1718) :args (@t813)) % 0.42/0.81 (step @p1701 :rule eq_resolve :premises (@p1699 @p1696)) % 0.42/0.81 (step @p1702 :rule implies_elim :premises (@p1701)) % 0.42/0.81 (step @p1703 :rule eq_resolve :premises (@p1702 @p1693)) % 0.42/0.81 (step @p1704 :rule chain_m_resolution :premises (@p1703 @p1690) :args (@t811 (@list true) (@list @t320))) % 0.42/0.81 (step @p1705 :rule true_intro :premises (@p1704)) % 0.42/0.81 (step @p1706 :rule not_implies_elim1 :premises (@p1659)) % 0.42/0.81 (step @p1707 :rule instantiate :premises (@p1706) :args ((@list @t810))) % 0.42/0.81 (step @p1708 :rule cong :premises (@p1707) :args (@t814)) % 0.42/0.81 (step @p1709 :rule trans :premises (@p1708 @p1705)) % 0.42/0.81 (step @p1710 :rule true_elim :premises (@p1709)) % 0.42/0.81 (assume-push @p1719 @t399) % 0.42/0.81 (step @p1712 :rule instantiate :premises (@p1677) :args ((@list @t809 @t808))) % 0.42/0.81 (step-pop @p1720 :rule scope :premises (@p1712)) % 0.42/0.81 (step @p1713 :rule process_scope :premises (@p1720) :args ((not @t814))) % 0.42/0.81 (step @p1715 :rule implies_elim :premises (@p1713)) % 0.42/0.81 (step @p1716 false :rule chain_m_resolution :premises (@p1715 @p1710 @p1677) :args (false (@list false false) (@list @t814 @t399))) % 0.42/0.81 ) % 0.42/0.81 % SZS output end Proof % 0.42/0.81 % cvc5 exiting %------------------------------------------------------------------------------