↑ Up

cvc5---1.3.4.THM-Prf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ALG278^5 : TPTP v9.2.1. Bugfixed v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n018.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 08:05:43 AM UTC 2026

% Result   : Theorem 203.55s 203.93s
% Output   : Proof 203.55s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem  : ALG278^5 : TPTP v9.2.1. Bugfixed v5.3.0.
% 0.13/0.14  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.35  % Computer : n018.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.36  % CPULimit : 300
% 0.17/0.36  % WCLimit  : 300
% 0.17/0.36  % DateTime : Wed Jun  3 01:57:05 EDT 2026
% 0.17/0.36  % CPUTime  : 
% 0.30/0.51  %----Proving TH0
% 203.55/203.93  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 203.55/203.93  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s...
% 203.55/203.93  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s...
% 203.55/203.93  --- Run --ho-elim --full-saturate-quant at 18s...
% 203.55/203.93  --- Run --ho-elim --no-e-matching --full-saturate-quant at 12s...
% 203.55/203.93  --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 12s...
% 203.55/203.93  --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 9s...
% 203.55/203.93  --- Run --no-ho-matching --finite-model-find --uf-ss=no-minimal at 6s...
% 203.55/203.93  % SZS status Theorem
% 203.55/203.93  % SZS output start Proof
% 203.55/203.93  (
% 203.55/203.93  (declare-sort tptp.g 0)
% 203.55/203.93  (define tptp.cGRP_ASSOC () (let ((_let_1 (@var "Xc" tptp.g))) (let ((_let_2 (@var "Xb" tptp.g))) (let ((_let_3 (@var "Xf" (-> tptp.g tptp.g tptp.g)))) (let ((_let_4 (@var "Xa" tptp.g))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (= (_ (_ _let_3 (_ _let_5 _let_2)) _let_1) (_ _let_5 (_ (_ _let_3 _let_2) _let_1)))))))))))
% 203.55/203.93  (define tptp.cGRP_LEFT_INVERSE () (let ((_let_1 (@var "Xe" tptp.g))) (let ((_let_2 (@var "Xa" tptp.g))) (let ((_let_3 (@var "Xb" tptp.g))) (let ((_let_4 (@var "Xf" (-> tptp.g tptp.g tptp.g)))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (exists (@list _let_3) (= (_ (_ _let_4 _let_3) _let_2) _let_1)))))))))
% 203.55/203.93  (define tptp.cGRP_LEFT_UNIT () (let ((_let_1 (@var "Xa" tptp.g))) (let ((_let_2 (@var "Xe" tptp.g))) (let ((_let_3 (@var "Xf" (-> tptp.g tptp.g tptp.g)))) (lambda (@list _let_3 _let_2) (forall (@list _let_1) (= (_ (_ _let_3 _let_2) _let_1) _let_1)))))))
% 203.55/203.93  (define tptp.cGROUP2 () (let ((_let_1 (@var "Xe" tptp.g))) (let ((_let_2 (@var "Xf" (-> tptp.g tptp.g tptp.g)))) (lambda (@list _let_2 _let_1) (and (_ tptp.cGRP_ASSOC _let_2) (_ (_ tptp.cGRP_LEFT_UNIT _let_2) _let_1) (_ (_ tptp.cGRP_LEFT_INVERSE _let_2) _let_1))))))
% 203.55/203.93  (define @t1 () (@var "Xa" tptp.g))
% 203.55/203.93  (define @t2 () (@var "Xe" tptp.g))
% 203.55/203.93  (define @t3 () (@var "Xf" (-> tptp.g tptp.g tptp.g)))
% 203.55/203.93  (define @t4 () (_ @t3 @t1))
% 203.55/203.93  (define @t5 () (_ @t4 @t2))
% 203.55/203.93  (define @t6 () (@list @t1))
% 203.55/203.93  (define @t7 () (forall @t6 (= @t5 @t1)))
% 203.55/203.93  (define @t8 () (=> (_ (_ tptp.cGROUP2 @t3) @t2) @t7))
% 203.55/203.93  (define @t9 () (@list @t3 @t2))
% 203.55/203.93  (define @t10 () (forall @t9 @t8))
% 203.55/203.93  (define @t11 () (not @t10))
% 203.55/203.93  (define @t12 () (@var "Xc" tptp.g))
% 203.55/203.93  (define @t13 () (@var "Xb" tptp.g))
% 203.55/203.93  (define @t14 () (_ @t3 @t13))
% 203.55/203.93  (define @t15 () (_ @t14 @t12))
% 203.55/203.93  (define @t16 () (_ @t4 @t15))
% 203.55/203.93  (define @t17 () (_ @t4 @t13))
% 203.55/203.93  (define @t18 () (_ (_ @t3 @t17) @t12))
% 203.55/203.93  (define @t19 () (= @t18 @t16))
% 203.55/203.93  (define @t20 () (@list @t1 @t13 @t12))
% 203.55/203.93  (define @t21 () (forall @t20 @t19))
% 203.55/203.93  (define @t22 () (@list @t3))
% 203.55/203.93  (define @t23 () (lambda @t22 @t21))
% 203.55/203.93  (define @t24 () (_ @t14 @t1))
% 203.55/203.93  (define @t25 () (@list @t13))
% 203.55/203.93  (define @t26 () (exists @t25 (= @t24 @t2)))
% 203.55/203.93  (define @t27 () (forall @t6 @t26))
% 203.55/203.93  (define @t28 () (lambda @t9 @t27))
% 203.55/203.93  (define @t29 () (_ (_ @t3 @t2) @t1))
% 203.55/203.93  (define @t30 () (forall @t6 (= @t29 @t1)))
% 203.55/203.93  (define @t31 () (lambda @t9 @t30))
% 203.55/203.93  (define @t32 () (and (_ tptp.cGRP_ASSOC @t3) (_ (_ tptp.cGRP_LEFT_UNIT @t3) @t2) (_ (_ tptp.cGRP_LEFT_INVERSE @t3) @t2)))
% 203.55/203.93  (define @t33 () (lambda @t9 @t32))
% 203.55/203.93  (define @t34 () (@var "BOUND_VARIABLE_7567" tptp.g))
% 203.55/203.93  (define @t35 () (= @t34 (_ @t3 @t34 @t2)))
% 203.55/203.93  (define @t36 () (_ @t3 @t13 @t1))
% 203.55/203.93  (define @t37 () (forall @t6 (not (forall @t25 (not (= @t2 @t36))))))
% 203.55/203.93  (define @t38 () (not @t37))
% 203.55/203.93  (define @t39 () (_ @t3 @t2 @t1))
% 203.55/203.93  (define @t40 () (forall @t6 (= @t1 @t39)))
% 203.55/203.93  (define @t41 () (not @t40))
% 203.55/203.93  (define @t42 () (_ @t3 @t13 @t12))
% 203.55/203.93  (define @t43 () (_ @t3 @t1 @t42))
% 203.55/203.93  (define @t44 () (_ @t3 @t1 @t13))
% 203.55/203.93  (define @t45 () (_ @t3 @t44 @t12))
% 203.55/203.93  (define @t46 () (forall @t20 (= @t45 @t43)))
% 203.55/203.93  (define @t47 () (not @t46))
% 203.55/203.93  (define @t48 () (or @t47 @t41 @t38 @t35))
% 203.55/203.93  (define @t49 () (forall (@list @t3 @t2 @t34) @t48))
% 203.55/203.93  (define @t50 () (@list @t34))
% 203.55/203.93  (define @t51 () (forall @t50 @t48))
% 203.55/203.93  (define @t52 () (forall @t50 @t35))
% 203.55/203.93  (define @t53 () (or @t47 @t41 @t38 @t52))
% 203.55/203.93  (define @t54 () (_ @t3 @t1 @t2))
% 203.55/203.93  (define @t55 () (forall @t6 (= @t1 @t54)))
% 203.55/203.93  (define @t56 () (or @t47 @t41 @t38 @t55))
% 203.55/203.93  (define @t57 () (or @t47 @t41 @t38))
% 203.55/203.93  (define @t58 () (and @t46 @t40 @t37))
% 203.55/203.93  (define @t59 () (= @t1 @t5))
% 203.55/203.93  (define @t60 () (@list @t2))
% 203.55/203.93  (define @t61 () (lambda @t60 @t58))
% 203.55/203.93  (define @t62 () (_ (lambda @t9 @t58) @t3))
% 203.55/203.93  (define @t63 () (=> (_ @t62 @t2) @t7))
% 203.55/203.93  (define @t64 () (forall @t9 @t63))
% 203.55/203.93  (define @t65 () (lambda @t60 @t37))
% 203.55/203.93  (define @t66 () (_ (lambda @t9 @t37) @t3))
% 203.55/203.93  (define @t67 () (lambda @t60 @t40))
% 203.55/203.93  (define @t68 () (_ (lambda @t9 @t40) @t3))
% 203.55/203.93  (define @t69 () (_ (lambda @t22 @t46) @t3))
% 203.55/203.93  (define @t70 () (= @t2 @t24))
% 203.55/203.93  (define @t71 () (not @t70))
% 203.55/203.93  (define @t72 () (forall @t25 @t71))
% 203.55/203.93  (define @t73 () (not @t72))
% 203.55/203.93  (define @t74 () (= @t1 @t29))
% 203.55/203.93  (define @t75 () (@quantifiers_skolemize @t49 1))
% 203.55/203.93  (define @t76 () (@quantifiers_skolemize @t49 2))
% 203.55/203.93  (define @t77 () (@quantifiers_skolemize @t49 0))
% 203.55/203.93  (define @t78 () (_ @t77 @t76 @t75))
% 203.55/203.93  (define @t79 () (= @t76 @t78))
% 203.55/203.93  (define @t80 () (forall @t6 (not (forall @t25 (not (= @t75 (_ @t77 @t13 @t1)))))))
% 203.55/203.93  (define @t81 () (not @t80))
% 203.55/203.93  (define @t82 () (forall @t6 (= @t1 (_ @t77 @t75 @t1))))
% 203.55/203.93  (define @t83 () (not @t82))
% 203.55/203.93  (define @t84 () (forall @t20 (= (_ @t77 (_ @t77 @t1 @t13) @t12) (_ @t77 @t1 (_ @t77 @t13 @t12)))))
% 203.55/203.93  (define @t85 () (not @t84))
% 203.55/203.93  (define @t86 () (or @t85 @t83 @t81 @t79))
% 203.55/203.93  (define @t87 () (@list true))
% 203.55/203.93  (define @t88 () (@list @t86))
% 203.55/203.93  (define @t89 () (@list @t76))
% 203.55/203.93  (define @t90 () (forall @t25 (not (= @t75 (_ @t77 @t13 @t76)))))
% 203.55/203.93  (define @t91 () (@quantifiers_skolemize @t90 0))
% 203.55/203.93  (define @t92 () (_ @t77 @t91 @t76))
% 203.55/203.93  (define @t93 () (= @t75 @t92))
% 203.55/203.93  (define @t94 () (not @t90))
% 203.55/203.93  (define @t95 () (not @t93))
% 203.55/203.93  (define @t96 () (not @t95))
% 203.55/203.93  (define @t97 () (_ @t77 @t76 @t76))
% 203.55/203.93  (define @t98 () (_ @t77 @t97 @t75))
% 203.55/203.93  (define @t99 () (_ @t77 @t75 @t76))
% 203.55/203.93  (define @t100 () (_ @t77 @t99 @t75))
% 203.55/203.93  (define @t101 () (_ @t77 @t97 @t76))
% 203.55/203.93  (define @t102 () (@list @t91))
% 203.55/203.93  (define @t103 () (forall @t25 (not (= @t75 (_ @t77 @t13 @t91)))))
% 203.55/203.93  (define @t104 () (@quantifiers_skolemize @t103 0))
% 203.55/203.93  (define @t105 () (_ @t77 @t104 @t91))
% 203.55/203.93  (define @t106 () (= @t75 @t105))
% 203.55/203.93  (define @t107 () (not @t103))
% 203.55/203.93  (define @t108 () (not @t106))
% 203.55/203.93  (define @t109 () (not @t108))
% 203.55/203.93  (define @t110 () (_ @t77 @t76 @t91))
% 203.55/203.93  (define @t111 () (_ @t77 @t75 @t75))
% 203.55/203.93  (define @t112 () (= @t75 @t111))
% 203.55/203.93  (define @t113 () (= @t76 @t99))
% 203.55/203.93  (define @t114 () (_ @t77 @t76 @t97))
% 203.55/203.93  (define @t115 () (= @t101 @t114))
% 203.55/203.93  (define @t116 () (_ @t77 @t76 @t78))
% 203.55/203.93  (define @t117 () (= @t98 @t116))
% 203.55/203.93  (define @t118 () (_ @t77 @t75 @t97))
% 203.55/203.93  (define @t119 () (= (_ @t77 @t99 @t76) @t118))
% 203.55/203.93  (define @t120 () (= @t100 (_ @t77 @t75 @t78)))
% 203.55/203.93  (define @t121 () (_ @t77 @t91 @t97))
% 203.55/203.93  (define @t122 () (_ @t77 @t92 @t76))
% 203.55/203.93  (define @t123 () (= @t122 @t121))
% 203.55/203.93  (define @t124 () (_ @t77 @t92 @t75))
% 203.55/203.93  (define @t125 () (= @t124 (_ @t77 @t91 @t78)))
% 203.55/203.93  (define @t126 () (_ @t77 @t98 @t76))
% 203.55/203.93  (define @t127 () (= @t126 (_ @t77 @t97 @t99)))
% 203.55/203.93  (define @t128 () (_ @t77 @t91 @t114))
% 203.55/203.93  (define @t129 () (= (_ @t77 @t92 @t97) @t128))
% 203.55/203.93  (define @t130 () (_ @t77 @t92 @t78))
% 203.55/203.93  (define @t131 () (= @t130 (_ @t77 @t91 @t116)))
% 203.55/203.93  (define @t132 () (_ @t77 @t98 @t78))
% 203.55/203.93  (define @t133 () (= (_ @t77 @t126 @t75) @t132))
% 203.55/203.93  (define @t134 () (_ @t77 @t98 @t75))
% 203.55/203.93  (define @t135 () (_ @t77 @t91 @t134))
% 203.55/203.93  (define @t136 () (_ @t77 @t91 @t98))
% 203.55/203.93  (define @t137 () (= (_ @t77 @t136 @t75) @t135))
% 203.55/203.93  (define @t138 () (_ @t77 @t136 @t100))
% 203.55/203.93  (define @t139 () (= @t138 (_ @t77 @t91 (_ @t77 @t98 @t100))))
% 203.55/203.93  (define @t140 () (_ @t77 @t91 @t100))
% 203.55/203.93  (define @t141 () (_ @t77 @t140 @t100))
% 203.55/203.93  (define @t142 () (= @t141 (_ @t77 @t91 (_ @t77 @t100 @t100))))
% 203.55/203.93  (define @t143 () (_ @t77 @t101 @t75))
% 203.55/203.93  (define @t144 () (_ @t77 @t91 @t143))
% 203.55/203.93  (define @t145 () (= (_ @t77 (_ @t77 @t91 @t101) @t75) @t144))
% 203.55/203.93  (define @t146 () (_ @t77 @t91 @t110))
% 203.55/203.93  (define @t147 () (= (_ @t77 @t92 @t91) @t146))
% 203.55/203.93  (define @t148 () (_ @t77 @t100 @t91))
% 203.55/203.93  (define @t149 () (_ @t77 @t75 @t100))
% 203.55/203.93  (define @t150 () (_ @t77 @t149 @t91))
% 203.55/203.93  (define @t151 () (= @t150 (_ @t77 @t75 @t148)))
% 203.55/203.93  (define @t152 () (_ @t77 @t100 @t92))
% 203.55/203.93  (define @t153 () (= (_ @t77 @t148 @t76) @t152))
% 203.55/203.93  (define @t154 () (_ @t77 @t97 @t111))
% 203.55/203.93  (define @t155 () (= @t134 @t154))
% 203.55/203.93  (define @t156 () (_ @t77 @t75 @t91))
% 203.55/203.93  (define @t157 () (_ @t77 @t78 @t91))
% 203.55/203.93  (define @t158 () (= @t157 (_ @t77 @t76 @t156)))
% 203.55/203.93  (define @t159 () (= @t91 @t156))
% 203.55/203.93  (define @t160 () (_ @t77 @t105 @t110))
% 203.55/203.93  (define @t161 () (= @t160 (_ @t77 @t104 @t146)))
% 203.55/203.93  (define @t162 () (_ @t77 @t76 @t100))
% 203.55/203.93  (define @t163 () (_ @t77 @t75 @t99))
% 203.55/203.93  (define @t164 () (and @t112 @t113 @t115 @t117 @t119 @t120 @t93 @t123 @t125 @t127 @t129 @t131 @t133 @t137 @t139 @t142 @t145 @t147 @t151 @t153 @t155 @t158 @t159 @t106 @t161))
% 203.55/203.93  (assume @p1 @t11)
% 203.55/203.93  (assume @p2 true)
% 203.55/203.93  (step @p3 (= tptp.cGRP_ASSOC @t23) :rule refl :args (@t23))
% 203.55/203.93  (step @p4 (= tptp.cGRP_LEFT_INVERSE @t28) :rule refl :args (@t28))
% 203.55/203.93  (step @p5 (= tptp.cGRP_LEFT_UNIT @t31) :rule refl :args (@t31))
% 203.55/203.93  (step @p6 (= tptp.cGROUP2 @t33) :rule refl :args (@t33))
% 203.55/203.93  (step @p7 :rule quant-merge-prenex :args ((= (forall @t9 @t51) @t49)))
% 203.55/203.93  (step @p8 :rule alpha_equiv :args (@t52 (@list @t34) (@list @t1)))
% 203.55/203.93  (step @p9 :rule refl :args (@t38))
% 203.55/203.93  (step @p10 :rule refl :args (@t41))
% 203.55/203.93  (step @p11 :rule refl :args (@t47))
% 203.55/203.93  (step @p12 :rule nary_cong :premises (@p11 @p10 @p9 @p8) :args (@t53))
% 203.55/203.93  (step @p13 :rule quant-miniscope-or :args ((= @t51 @t53)))
% 203.55/203.93  (step @p14 :rule trans :premises (@p13 @p12))
% 203.55/203.93  (step @p15 :rule symm :premises (@p14))
% 203.55/203.93  (step @p16 :rule cong :premises (@p15) :args ((forall @t9 @t56)))
% 203.55/203.93  (step @p17 :rule trans :premises (@p16 @p7))
% 203.55/203.93  (step @p18 :rule aci_norm :args ((= (or @t57 @t55) @t56)))
% 203.55/203.93  (step @p19 :rule refl :args (@t55))
% 203.55/203.93  (step @p20 :rule aci_norm :args ((= (or @t47 (or @t41 @t38)) @t57)))
% 203.55/203.93  (step @p21 :rule bool-and-de-morgan :args (@t40 @t37 true))
% 203.55/203.93  (step @p22 :rule nary_cong :premises (@p11 @p21) :args ((or @t47 (not (and @t40 @t37)))))
% 203.55/203.93  (step @p23 :rule bool-and-de-morgan :args (@t46 @t40 (and @t37)))
% 203.55/203.93  (step @p24 :rule trans :premises (@p23 @p22))
% 203.55/203.93  (step @p25 :rule trans :premises (@p24 @p20))
% 203.55/203.93  (step @p26 :rule nary_cong :premises (@p25 @p19) :args ((or (not @t58) @t55)))
% 203.55/203.93  (step @p27 :rule trans :premises (@p26 @p18))
% 203.55/203.93  (step @p28 :rule bool-impl-elim :args (@t58 @t55))
% 203.55/203.93  (step @p29 :rule trans :premises (@p28 @p27))
% 203.55/203.93  (step @p30 :rule cong :premises (@p29) :args ((forall @t9 (=> @t58 @t55))))
% 203.55/203.93  (step @p31 :rule trans :premises (@p30 @p17))
% 203.55/203.93  (step @p32 :rule refl :args (@t54))
% 203.55/203.93  (step @p33 :rule refl :args (@t5))
% 203.55/203.93  (step @p34 :rule cong :premises (@p33 @p32) :args ((= @t5 @t54)))
% 203.55/203.93  (step @p35 :rule symm :premises (@p34))
% 203.55/203.93  (step @p36 :rule eq_resolve :premises (@p33 @p35))
% 203.55/203.93  (step @p37 :rule refl :args (@t1))
% 203.55/203.93  (step @p38 :rule cong :premises (@p37 @p36) :args (@t59))
% 203.55/203.93  (step @p39 :rule cong :premises (@p38) :args ((forall @t6 @t59)))
% 203.55/203.93  (step @p40 :rule eq-symm :args (@t5 @t1))
% 203.55/203.93  (step @p41 :rule cong :premises (@p40) :args (@t7))
% 203.55/203.93  (step @p42 :rule trans :premises (@p41 @p39))
% 203.55/203.93  (step @p43 :rule beta-reduce :args ((= (_ @t61 @t2) @t58)))
% 203.55/203.93  (step @p44 :rule refl :args (@t2))
% 203.55/203.93  (step @p45 :rule beta-reduce :args ((= @t62 @t61)))
% 203.55/203.93  (step @p46 :rule ho_cong :premises (@p45 @p44))
% 203.55/203.93  (step @p47 :rule trans :premises (@p46 @p43))
% 203.55/203.93  (step @p48 :rule cong :premises (@p47 @p42) :args (@t63))
% 203.55/203.93  (step @p49 :rule cong :premises (@p48) :args (@t64))
% 203.55/203.93  (step @p50 :rule trans :premises (@p49 @p31))
% 203.55/203.93  (step @p51 :rule cong :premises (@p50) :args ((not @t64)))
% 203.55/203.93  (step @p52 :rule refl :args (@t7))
% 203.55/203.93  (step @p53 :rule refl :args (@t3))
% 203.55/203.93  (step @p54 :rule beta-reduce :args ((= (_ @t65 @t2) @t37)))
% 203.55/203.93  (step @p55 :rule beta-reduce :args ((= @t66 @t65)))
% 203.55/203.93  (step @p56 :rule ho_cong :premises (@p55 @p44))
% 203.55/203.93  (step @p57 :rule trans :premises (@p56 @p54))
% 203.55/203.93  (step @p58 :rule beta-reduce :args ((= (_ @t67 @t2) @t40)))
% 203.55/203.93  (step @p59 :rule beta-reduce :args ((= @t68 @t67)))
% 203.55/203.93  (step @p60 :rule ho_cong :premises (@p59 @p44))
% 203.55/203.93  (step @p61 :rule trans :premises (@p60 @p58))
% 203.55/203.93  (step @p62 :rule beta-reduce :args ((= @t69 @t46)))
% 203.55/203.93  (step @p63 :rule nary_cong :premises (@p62 @p61 @p57) :args ((and @t69 (_ @t68 @t2) (_ @t66 @t2))))
% 203.55/203.93  (step @p64 :rule refl :args (@t36))
% 203.55/203.93  (step @p65 :rule refl :args (@t24))
% 203.55/203.93  (step @p66 :rule cong :premises (@p65 @p64) :args ((= @t24 @t36)))
% 203.55/203.93  (step @p67 :rule symm :premises (@p66))
% 203.55/203.93  (step @p68 :rule eq_resolve :premises (@p65 @p67))
% 203.55/203.93  (step @p69 :rule refl :args (@t2))
% 203.55/203.93  (step @p70 :rule cong :premises (@p69 @p68) :args (@t70))
% 203.55/203.93  (step @p71 :rule cong :premises (@p70) :args (@t71))
% 203.55/203.93  (step @p72 :rule cong :premises (@p71) :args (@t72))
% 203.55/203.93  (step @p73 :rule cong :premises (@p72) :args (@t73))
% 203.55/203.93  (step @p74 :rule exists-elim :args ((= (exists @t25 @t70) @t73)))
% 203.55/203.93  (step @p75 :rule trans :premises (@p74 @p73))
% 203.55/203.93  (step @p76 :rule eq-symm :args (@t24 @t2))
% 203.55/203.93  (step @p77 :rule cong :premises (@p76) :args (@t26))
% 203.55/203.93  (step @p78 :rule trans :premises (@p77 @p75))
% 203.55/203.93  (step @p79 :rule cong :premises (@p78) :args (@t27))
% 203.55/203.93  (step @p80 :rule cong :premises (@p79) :args (@t28))
% 203.55/203.93  (step @p81 :rule trans :premises (@p4 @p80))
% 203.55/203.93  (step @p82 :rule ho_cong :premises (@p81 @p53))
% 203.55/203.93  (step @p83 :rule ho_cong :premises (@p82 @p44))
% 203.55/203.93  (step @p84 :rule refl :args (@t39))
% 203.55/203.93  (step @p85 :rule refl :args (@t29))
% 203.55/203.93  (step @p86 :rule cong :premises (@p85 @p84) :args ((= @t29 @t39)))
% 203.55/203.93  (step @p87 :rule symm :premises (@p86))
% 203.55/203.93  (step @p88 :rule eq_resolve :premises (@p85 @p87))
% 203.55/203.93  (step @p89 :rule cong :premises (@p37 @p88) :args (@t74))
% 203.55/203.93  (step @p90 :rule cong :premises (@p89) :args ((forall @t6 @t74)))
% 203.55/203.93  (step @p91 :rule eq-symm :args (@t29 @t1))
% 203.55/203.93  (step @p92 :rule cong :premises (@p91) :args (@t30))
% 203.55/203.93  (step @p93 :rule trans :premises (@p92 @p90))
% 203.55/203.93  (step @p94 :rule cong :premises (@p93) :args (@t31))
% 203.55/203.93  (step @p95 :rule trans :premises (@p5 @p94))
% 203.55/203.93  (step @p96 :rule ho_cong :premises (@p95 @p53))
% 203.55/203.93  (step @p97 :rule ho_cong :premises (@p96 @p44))
% 203.55/203.93  (step @p98 :rule refl :args ((_ @t3 @t1 @t15)))
% 203.55/203.93  (step @p99 :rule refl :args (@t42))
% 203.55/203.93  (step @p100 :rule cong :premises (@p37 @p99) :args (@t43))
% 203.55/203.93  (step @p101 :rule trans :premises (@p100 @p98))
% 203.55/203.93  (step @p102 :rule refl :args (@t4))
% 203.55/203.93  (step @p103 :rule ho_cong :premises (@p102 @p99))
% 203.55/203.93  (step @p104 :rule cong :premises (@p103 @p101) :args ((= (_ @t4 @t42) @t43)))
% 203.55/203.93  (step @p105 :rule symm :premises (@p104))
% 203.55/203.93  (step @p106 :rule refl :args (@t16))
% 203.55/203.93  (step @p107 :rule eq_resolve :premises (@p106 @p105))
% 203.55/203.93  (step @p108 :rule refl :args (@t15))
% 203.55/203.93  (step @p109 :rule cong :premises (@p108 @p99) :args ((= @t15 @t42)))
% 203.55/203.93  (step @p110 :rule symm :premises (@p109))
% 203.55/203.93  (step @p111 :rule eq_resolve :premises (@p108 @p110))
% 203.55/203.93  (step @p112 :rule ho_cong :premises (@p102 @p111))
% 203.55/203.93  (step @p113 :rule trans :premises (@p112 @p107))
% 203.55/203.93  (step @p114 :rule refl :args ((_ @t3 @t17 @t12)))
% 203.55/203.93  (step @p115 :rule refl :args (@t12))
% 203.55/203.93  (step @p116 :rule refl :args (@t44))
% 203.55/203.93  (step @p117 :rule cong :premises (@p116 @p115) :args (@t45))
% 203.55/203.93  (step @p118 :rule trans :premises (@p117 @p114))
% 203.55/203.93  (step @p119 :rule refl :args (@t3))
% 203.55/203.93  (step @p120 :rule ho_cong :premises (@p119 @p116))
% 203.55/203.93  (step @p121 :rule ho_cong :premises (@p120 @p115))
% 203.55/203.93  (step @p122 :rule cong :premises (@p121 @p118) :args ((= (_ (_ @t3 @t44) @t12) @t45)))
% 203.55/203.93  (step @p123 :rule symm :premises (@p122))
% 203.55/203.93  (step @p124 :rule refl :args (@t18))
% 203.55/203.93  (step @p125 :rule eq_resolve :premises (@p124 @p123))
% 203.55/203.93  (step @p126 :rule refl :args (@t17))
% 203.55/203.93  (step @p127 :rule cong :premises (@p126 @p116) :args ((= @t17 @t44)))
% 203.55/203.93  (step @p128 :rule symm :premises (@p127))
% 203.55/203.93  (step @p129 :rule eq_resolve :premises (@p126 @p128))
% 203.55/203.93  (step @p130 :rule ho_cong :premises (@p119 @p129))
% 203.55/203.93  (step @p131 :rule ho_cong :premises (@p130 @p115))
% 203.55/203.93  (step @p132 :rule trans :premises (@p131 @p125))
% 203.55/203.93  (step @p133 :rule cong :premises (@p132 @p113) :args (@t19))
% 203.55/203.93  (step @p134 :rule cong :premises (@p133) :args (@t21))
% 203.55/203.93  (step @p135 :rule cong :premises (@p134) :args (@t23))
% 203.55/203.93  (step @p136 :rule trans :premises (@p3 @p135))
% 203.55/203.93  (step @p137 :rule ho_cong :premises (@p136 @p53))
% 203.55/203.93  (step @p138 :rule nary_cong :premises (@p137 @p97 @p83) :args (@t32))
% 203.55/203.93  (step @p139 :rule trans :premises (@p138 @p63))
% 203.55/203.93  (step @p140 :rule cong :premises (@p139) :args (@t33))
% 203.55/203.93  (step @p141 :rule trans :premises (@p6 @p140))
% 203.55/203.93  (step @p142 :rule ho_cong :premises (@p141 @p53))
% 203.55/203.93  (step @p143 :rule ho_cong :premises (@p142 @p44))
% 203.55/203.93  (step @p144 :rule cong :premises (@p143 @p52) :args (@t8))
% 203.55/203.93  (step @p145 :rule cong :premises (@p144) :args (@t10))
% 203.55/203.93  (step @p146 :rule cong :premises (@p145) :args (@t11))
% 203.55/203.93  (step @p147 :rule trans :premises (@p146 @p51))
% 203.55/203.93  (step @p148 :rule eq_resolve :premises (@p1 @p147))
% 203.55/203.93  (step @p149 :rule skolemize :premises (@p148))
% 203.55/203.93  (step @p150 :rule cnf_or_neg :args (@t86 3))
% 203.55/203.93  (step @p151 :rule chain_m_resolution :premises (@p150 @p149) :args ((not @t79) @t87 @t88))
% 203.55/203.93  (step @p152 :rule bool-double-not-elim :args (@t82))
% 203.55/203.93  (step @p153 :rule refl :args (@t86))
% 203.55/203.93  (step @p154 :rule nary_cong :premises (@p153 @p152) :args ((or @t86 (not @t83))))
% 203.55/203.93  (step @p155 :rule cnf_or_neg :args (@t86 1))
% 203.55/203.93  (step @p156 :rule eq_resolve :premises (@p155 @p154))
% 203.55/203.93  (step @p157 :rule reordering :premises (@p156) :args ((or @t82 @t86)))
% 203.55/203.93  (step @p158 :rule chain_m_resolution :premises (@p157 @p149) :args (@t82 @t87 @t88))
% 203.55/203.93  (step @p159 :rule instantiate :premises (@p158) :args ((@list @t75)))
% 203.55/203.93  (step @p160 :rule instantiate :premises (@p158) :args (@t89))
% 203.55/203.93  (step @p161 :rule bool-double-not-elim :args (@t84))
% 203.55/203.93  (step @p162 :rule nary_cong :premises (@p153 @p161) :args ((or @t86 (not @t85))))
% 203.55/203.93  (step @p163 :rule cnf_or_neg :args (@t86 0))
% 203.55/203.93  (step @p164 :rule eq_resolve :premises (@p163 @p162))
% 203.55/203.93  (step @p165 :rule reordering :premises (@p164) :args ((or @t84 @t86)))
% 203.55/203.93  (step @p166 :rule chain_m_resolution :premises (@p165 @p149) :args (@t84 @t87 @t88))
% 203.55/203.93  (step @p167 :rule instantiate :premises (@p166) :args ((@list @t76 @t76 @t76)))
% 203.55/203.93  (step @p168 :rule instantiate :premises (@p166) :args ((@list @t76 @t76 @t75)))
% 203.55/203.93  (step @p169 :rule instantiate :premises (@p166) :args ((@list @t75 @t76 @t76)))
% 203.55/203.93  (step @p170 :rule instantiate :premises (@p166) :args ((@list @t75 @t76 @t75)))
% 203.55/203.93  (step @p171 :rule bool-double-not-elim :args (@t80))
% 203.55/203.93  (step @p172 :rule nary_cong :premises (@p153 @p171) :args ((or @t86 (not @t81))))
% 203.55/203.93  (step @p173 :rule cnf_or_neg :args (@t86 2))
% 203.55/203.93  (step @p174 :rule eq_resolve :premises (@p173 @p172))
% 203.55/203.93  (step @p175 :rule reordering :premises (@p174) :args ((or @t80 @t86)))
% 203.55/203.93  (step @p176 :rule chain_m_resolution :premises (@p175 @p149) :args (@t80 @t87 @t88))
% 203.55/203.93  (step @p177 :rule instantiate :premises (@p176) :args (@t89))
% 203.55/203.93  (step @p178 :rule refl :args (@t93))
% 203.55/203.93  (step @p179 :rule bool-double-not-elim :args (@t90))
% 203.55/203.93  (step @p180 :rule nary_cong :premises (@p179 @p178) :args ((or (not @t94) @t93)))
% 203.55/203.93  (step @p181 :rule bool-double-not-elim :args (@t93))
% 203.55/203.93  (step @p182 :rule refl :args (@t94))
% 203.55/203.93  (step @p183 :rule cong :premises (@p182 @p181) :args ((=> @t94 @t96)))
% 203.55/203.93  (assume-push @p364 @t94)
% 203.55/203.93  (step @p185 :rule skolemize :premises (@p177))
% 203.55/203.93  (step-pop @p365 :rule scope :premises (@p185))
% 203.55/203.93  (step @p186 :rule process_scope :premises (@p365) :args (@t96))
% 203.55/203.93  (step @p188 :rule eq_resolve :premises (@p186 @p183))
% 203.55/203.93  (step @p189 :rule implies_elim :premises (@p188))
% 203.55/203.93  (step @p190 :rule eq_resolve :premises (@p189 @p180))
% 203.55/203.93  (step @p191 :rule chain_m_resolution :premises (@p190 @p177) :args (@t93 @t87 (@list @t90)))
% 203.55/203.93  (step @p192 :rule instantiate :premises (@p166) :args ((@list @t91 @t76 @t76)))
% 203.55/203.93  (step @p193 :rule instantiate :premises (@p166) :args ((@list @t91 @t76 @t75)))
% 203.55/203.93  (step @p194 :rule instantiate :premises (@p166) :args ((@list @t97 @t75 @t76)))
% 203.55/203.93  (step @p195 :rule instantiate :premises (@p166) :args ((@list @t91 @t76 @t97)))
% 203.55/203.93  (step @p196 :rule instantiate :premises (@p166) :args ((@list @t91 @t76 @t78)))
% 203.55/203.93  (step @p197 :rule instantiate :premises (@p166) :args ((@list @t98 @t76 @t75)))
% 203.55/203.93  (step @p198 :rule instantiate :premises (@p166) :args ((@list @t91 @t98 @t75)))
% 203.55/203.93  (step @p199 :rule instantiate :premises (@p166) :args ((@list @t91 @t98 @t100)))
% 203.55/203.93  (step @p200 :rule instantiate :premises (@p166) :args ((@list @t91 @t100 @t100)))
% 203.55/203.93  (step @p201 :rule instantiate :premises (@p166) :args ((@list @t91 @t101 @t75)))
% 203.55/203.93  (step @p202 :rule instantiate :premises (@p166) :args ((@list @t91 @t76 @t91)))
% 203.55/203.93  (step @p203 :rule instantiate :premises (@p166) :args ((@list @t75 @t100 @t91)))
% 203.55/203.93  (step @p204 :rule instantiate :premises (@p166) :args ((@list @t100 @t91 @t76)))
% 203.55/203.93  (step @p205 :rule instantiate :premises (@p166) :args ((@list @t97 @t75 @t75)))
% 203.55/203.93  (step @p206 :rule instantiate :premises (@p166) :args ((@list @t76 @t75 @t91)))
% 203.55/203.93  (step @p207 :rule instantiate :premises (@p158) :args (@t102))
% 203.55/203.93  (step @p208 :rule instantiate :premises (@p176) :args (@t102))
% 203.55/203.93  (step @p209 :rule refl :args (@t106))
% 203.55/203.93  (step @p210 :rule bool-double-not-elim :args (@t103))
% 203.55/203.93  (step @p211 :rule nary_cong :premises (@p210 @p209) :args ((or (not @t107) @t106)))
% 203.55/203.93  (step @p212 :rule bool-double-not-elim :args (@t106))
% 203.55/203.93  (step @p213 :rule refl :args (@t107))
% 203.55/203.93  (step @p214 :rule cong :premises (@p213 @p212) :args ((=> @t107 @t109)))
% 203.55/203.93  (assume-push @p366 @t107)
% 203.55/203.93  (step @p216 :rule skolemize :premises (@p208))
% 203.55/203.93  (step-pop @p367 :rule scope :premises (@p216))
% 203.55/203.93  (step @p217 :rule process_scope :premises (@p367) :args (@t109))
% 203.55/203.93  (step @p219 :rule eq_resolve :premises (@p217 @p214))
% 203.55/203.93  (step @p220 :rule implies_elim :premises (@p219))
% 203.55/203.93  (step @p221 :rule eq_resolve :premises (@p220 @p211))
% 203.55/203.93  (step @p222 :rule chain_m_resolution :premises (@p221 @p208) :args (@t106 @t87 (@list @t103)))
% 203.55/203.93  (step @p223 :rule instantiate :premises (@p166) :args ((@list @t104 @t91 @t110)))
% 203.55/203.93  (assume-push @p368 @t112)
% 203.55/203.93  (assume-push @p369 @t113)
% 203.55/203.93  (assume-push @p370 @t115)
% 203.55/203.93  (assume-push @p371 @t117)
% 203.55/203.93  (assume-push @p372 @t119)
% 203.55/203.93  (assume-push @p373 @t120)
% 203.55/203.93  (assume-push @p374 @t93)
% 203.55/203.93  (assume-push @p375 @t123)
% 203.55/203.93  (assume-push @p376 @t125)
% 203.55/203.93  (assume-push @p377 @t127)
% 203.55/203.93  (assume-push @p378 @t129)
% 203.55/203.93  (assume-push @p379 @t131)
% 203.55/203.93  (assume-push @p380 @t133)
% 203.55/203.93  (assume-push @p381 @t137)
% 203.55/203.93  (assume-push @p382 @t139)
% 203.55/203.93  (assume-push @p383 @t142)
% 203.55/203.93  (assume-push @p384 @t145)
% 203.55/203.93  (assume-push @p385 @t147)
% 203.55/203.93  (assume-push @p386 @t151)
% 203.55/203.93  (assume-push @p387 @t153)
% 203.55/203.93  (assume-push @p388 @t155)
% 203.55/203.93  (assume-push @p389 @t158)
% 203.55/203.93  (assume-push @p390 @t159)
% 203.55/203.93  (assume-push @p391 @t106)
% 203.55/203.93  (assume-push @p392 @t161)
% 203.55/203.93  (step @p249 :rule refl :args (@t75))
% 203.55/203.93  (step @p250 :rule symm :premises (@p160))
% 203.55/203.93  (step @p251 :rule cong :premises (@p250 @p249) :args (@t100))
% 203.55/203.93  (step @p252 :rule symm :premises (@p170))
% 203.55/203.93  (step @p253 :rule symm :premises (@p159))
% 203.55/203.93  (step @p254 :rule symm :premises (@p191))
% 203.55/203.93  (step @p255 :rule cong :premises (@p254 @p249) :args (@t124))
% 203.55/203.93  (step @p256 :rule symm :premises (@p193))
% 203.55/203.93  (step @p257 :rule refl :args (@t91))
% 203.55/203.93  (step @p258 :rule cong :premises (@p257 @p251) :args (@t140))
% 203.55/203.93  (step @p259 :rule trans :premises (@p258 @p256 @p255 @p253))
% 203.55/203.93  (step @p260 :rule cong :premises (@p259 @p251) :args (@t141))
% 203.55/203.93  (step @p261 :rule symm :premises (@p200))
% 203.55/203.93  (step @p262 :rule refl :args (@t100))
% 203.55/203.93  (step @p263 :rule symm :premises (@p251))
% 203.55/203.93  (step @p264 :rule refl :args (@t78))
% 203.55/203.93  (step @p265 :rule cong :premises (@p254 @p264) :args (@t130))
% 203.55/203.93  (step @p266 :rule symm :premises (@p196))
% 203.55/203.93  (step @p267 :rule cong :premises (@p257 @p168) :args (@t136))
% 203.55/203.93  (step @p268 :rule trans :premises (@p267 @p266 @p265 @p252 @p251))
% 203.55/203.93  (step @p269 :rule trans :premises (@p268 @p263))
% 203.55/203.93  (step @p270 :rule cong :premises (@p269 @p262) :args (@t138))
% 203.55/203.93  (step @p271 :rule symm :premises (@p199))
% 203.55/203.93  (step @p272 :rule symm :premises (@p168))
% 203.55/203.93  (step @p273 :rule refl :args (@t76))
% 203.55/203.93  (step @p274 :rule cong :premises (@p273 @p251) :args (@t162))
% 203.55/203.93  (step @p275 :rule trans :premises (@p274 @p272))
% 203.55/203.93  (step @p276 :rule cong :premises (@p275 @p262) :args ((_ @t77 @t162 @t100)))
% 203.55/203.93  (step @p277 :rule symm :premises (@p275))
% 203.55/203.93  (step @p278 :rule cong :premises (@p277 @p263) :args (@t132))
% 203.55/203.93  (step @p279 :rule symm :premises (@p194))
% 203.55/203.93  (step @p280 :rule refl :args (@t97))
% 203.55/203.93  (step @p281 :rule cong :premises (@p280 @p160) :args (@t101))
% 203.55/203.93  (step @p282 :rule symm :premises (@p167))
% 203.55/203.93  (step @p283 :rule trans :premises (@p282 @p281 @p279))
% 203.55/203.93  (step @p284 :rule trans :premises (@p167 @p283))
% 203.55/203.93  (step @p285 :rule cong :premises (@p284 @p249) :args (@t143))
% 203.55/203.93  (step @p286 :rule trans :premises (@p285 @p197 @p278 @p276))
% 203.55/203.93  (step @p287 :rule cong :premises (@p257 @p286) :args (@t144))
% 203.55/203.93  (step @p288 :rule cong :premises (@p257 @p282) :args (@t128))
% 203.55/203.93  (step @p289 :rule cong :premises (@p191 @p280) :args (@t118))
% 203.55/203.93  (step @p290 :rule cong :premises (@p160 @p250) :args ((_ @t77 @t76 @t99)))
% 203.55/203.93  (step @p291 :rule cong :premises (@p273 @p160) :args (@t97))
% 203.55/203.93  (step @p292 :rule trans :premises (@p291 @p290 @p169 @p289 @p195 @p288))
% 203.55/203.93  (step @p293 :rule cong :premises (@p292 @p249) :args (@t98))
% 203.55/203.93  (step @p294 :rule cong :premises (@p280 @p253) :args (@t154))
% 203.55/203.93  (step @p295 :rule trans :premises (@p205 @p294 @p293 @p201 @p287 @p271 @p270))
% 203.55/203.93  (step @p296 :rule cong :premises (@p257 @p295) :args (@t135))
% 203.55/203.93  (step @p297 :rule symm :premises (@p269))
% 203.55/203.93  (step @p298 :rule cong :premises (@p297 @p249) :args ((_ @t77 @t100 @t75)))
% 203.55/203.93  (step @p299 :rule cong :premises (@p262 @p254) :args (@t152))
% 203.55/203.93  (step @p300 :rule cong :premises (@p263 @p257) :args (@t157))
% 203.55/203.93  (step @p301 :rule symm :premises (@p206))
% 203.55/203.93  (step @p302 :rule cong :premises (@p253 @p273) :args ((_ @t77 @t111 @t76)))
% 203.55/203.93  (step @p303 :rule cong :premises (@p159 @p250) :args (@t163))
% 203.55/203.93  (step @p304 :rule cong :premises (@p254 @p160) :args (@t122))
% 203.55/203.93  (step @p305 :rule symm :premises (@p192))
% 203.55/203.93  (step @p306 :rule trans :premises (@p305 @p304 @p303 @p302))
% 203.55/203.93  (step @p307 :rule trans :premises (@p306 @p250))
% 203.55/203.93  (step @p308 :rule cong :premises (@p307 @p207) :args ((_ @t77 @t121 @t91)))
% 203.55/203.93  (step @p309 :rule symm :premises (@p307))
% 203.55/203.93  (step @p310 :rule cong :premises (@p309 @p257) :args (@t110))
% 203.55/203.93  (step @p311 :rule trans :premises (@p310 @p308 @p301 @p300))
% 203.55/203.93  (step @p312 :rule symm :premises (@p310))
% 203.55/203.93  (step @p313 :rule symm :premises (@p308))
% 203.55/203.93  (step @p314 :rule symm :premises (@p300))
% 203.55/203.93  (step @p315 :rule cong :premises (@p249 @p251) :args (@t149))
% 203.55/203.93  (step @p316 :rule trans :premises (@p315 @p252 @p251))
% 203.55/203.93  (step @p317 :rule trans :premises (@p316 @p263))
% 203.55/203.93  (step @p318 :rule cong :premises (@p317 @p257) :args (@t150))
% 203.55/203.93  (step @p319 :rule symm :premises (@p203))
% 203.55/203.93  (step @p320 :rule symm :premises (@p222))
% 203.55/203.93  (step @p321 :rule cong :premises (@p320 @p311) :args (@t160))
% 203.55/203.93  (step @p322 :rule symm :premises (@p223))
% 203.55/203.93  (step @p323 :rule cong :premises (@p191 @p257) :args (@t156))
% 203.55/203.93  (step @p324 :rule trans :premises (@p207 @p323 @p202))
% 203.55/203.93  (step @p325 :rule refl :args (@t104))
% 203.55/203.93  (step @p326 :rule cong :premises (@p325 @p324) :args (@t105))
% 203.55/203.93  (step @p327 :rule trans :premises (@p222 @p326 @p322 @p321 @p319 @p318 @p314 @p206 @p313 @p312))
% 203.55/203.93  (step @p328 :rule trans :premises (@p327 @p311))
% 203.55/203.93  (step @p329 :rule cong :premises (@p328 @p250) :args (@t163))
% 203.55/203.93  (step @p330 :rule symm :premises (@p303))
% 203.55/203.93  (step @p331 :rule symm :premises (@p302))
% 203.55/203.93  (step @p332 :rule trans :premises (@p160 @p331 @p330 @p329 @p204 @p299 @p298 @p198 @p296 @p261 @p260 @p252 @p251))
% 203.55/203.93  (step-pop @p393 :rule scope :premises (@p332))
% 203.55/203.93  (step-pop @p394 :rule scope :premises (@p393))
% 203.55/203.93  (step-pop @p395 :rule scope :premises (@p394))
% 203.55/203.93  (step-pop @p396 :rule scope :premises (@p395))
% 203.55/203.93  (step-pop @p397 :rule scope :premises (@p396))
% 203.55/203.93  (step-pop @p398 :rule scope :premises (@p397))
% 203.55/203.93  (step-pop @p399 :rule scope :premises (@p398))
% 203.55/203.93  (step-pop @p400 :rule scope :premises (@p399))
% 203.55/203.93  (step-pop @p401 :rule scope :premises (@p400))
% 203.55/203.93  (step-pop @p402 :rule scope :premises (@p401))
% 203.55/203.93  (step-pop @p403 :rule scope :premises (@p402))
% 203.55/203.93  (step-pop @p404 :rule scope :premises (@p403))
% 203.55/203.93  (step-pop @p405 :rule scope :premises (@p404))
% 203.55/203.93  (step-pop @p406 :rule scope :premises (@p405))
% 203.55/203.93  (step-pop @p407 :rule scope :premises (@p406))
% 203.55/203.93  (step-pop @p408 :rule scope :premises (@p407))
% 203.55/203.93  (step-pop @p409 :rule scope :premises (@p408))
% 203.55/203.93  (step-pop @p410 :rule scope :premises (@p409))
% 203.55/203.93  (step-pop @p411 :rule scope :premises (@p410))
% 203.55/203.93  (step-pop @p412 :rule scope :premises (@p411))
% 203.55/203.93  (step-pop @p413 :rule scope :premises (@p412))
% 203.55/203.93  (step-pop @p414 :rule scope :premises (@p413))
% 203.55/203.93  (step-pop @p415 :rule scope :premises (@p414))
% 203.55/203.93  (step-pop @p416 :rule scope :premises (@p415))
% 203.55/203.93  (step-pop @p417 :rule scope :premises (@p416))
% 203.55/203.93  (step @p333 :rule process_scope :premises (@p417) :args (@t79))
% 203.55/203.93  (step @p359 :rule implies_elim :premises (@p333))
% 203.55/203.93  (step @p360 :rule cnf_and_neg :args (@t164))
% 203.55/203.93  (step @p361 :rule resolution :premises (@p360 @p359) :args (true @t164))
% 203.55/203.93  (step @p362 :rule reordering :premises (@p361) :args ((or @t79 (not @t112) (not @t113) (not @t115) (not @t117) (not @t119) (not @t120) @t95 (not @t123) (not @t125) (not @t127) (not @t129) (not @t131) (not @t133) (not @t137) (not @t139) (not @t142) (not @t145) (not @t147) (not @t151) (not @t153) (not @t155) (not @t158) (not @t159) @t108 (not @t161))))
% 203.55/203.93  (step @p363 false :rule chain_m_resolution :premises (@p362 @p223 @p222 @p207 @p206 @p205 @p204 @p203 @p202 @p201 @p200 @p199 @p198 @p197 @p196 @p195 @p194 @p193 @p192 @p191 @p170 @p169 @p168 @p167 @p160 @p159 @p151) :args (false (@list false false false false false false false false false false false false false false false false false false false false false false false false false true) (@list @t161 @t106 @t159 @t158 @t155 @t153 @t151 @t147 @t145 @t142 @t139 @t137 @t133 @t131 @t129 @t127 @t125 @t123 @t93 @t120 @t119 @t117 @t115 @t113 @t112 @t79)))
% 203.55/203.93  )
% 203.55/203.93  % SZS output end Proof
% 203.55/203.93  % cvc5 exiting
%------------------------------------------------------------------------------