↑ Up

cvc5---1.3.4.THM-Prf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : MED002+1 : TPTP v9.2.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n008.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 08:35:24 AM UTC 2026

% Result   : Theorem 0.38s 0.59s
% Output   : Proof 0.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : MED002+1 : TPTP v9.2.1. Released v3.2.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.34  % Computer : n008.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit : 300
% 0.15/0.34  % WCLimit  : 300
% 0.15/0.34  % DateTime : Tue Jun  2 09:40:48 EDT 2026
% 0.15/0.34  % CPUTime  : 
% 0.28/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.38/0.59  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.38/0.59  % SZS status Theorem
% 0.38/0.59  % SZS output start Proof
% 0.38/0.59  (
% 0.38/0.59  (declare-sort $$unsorted 0)
% 0.38/0.59  (declare-const tptp.n0 $$unsorted)
% 0.38/0.59  (declare-const tptp.drugbg (-> $$unsorted Bool))
% 0.38/0.59  (declare-const tptp.bcapacityex (-> $$unsorted Bool))
% 0.38/0.59  (declare-const tptp.releaselg (-> $$unsorted Bool))
% 0.38/0.59  (declare-const tptp.bcapacityne (-> $$unsorted Bool))
% 0.38/0.59  (declare-const tptp.qilt27 (-> $$unsorted Bool))
% 0.38/0.59  (declare-const tptp.conditionnormo (-> $$unsorted Bool))
% 0.38/0.59  (declare-const tptp.bcapacitysn (-> $$unsorted Bool))
% 0.38/0.59  (declare-const tptp.drugsu (-> $$unsorted Bool))
% 0.38/0.59  (declare-const tptp.conditionhypo (-> $$unsorted Bool))
% 0.38/0.59  (declare-const tptp.gt (-> $$unsorted $$unsorted Bool))
% 0.38/0.59  (declare-const tptp.conditionhyper (-> $$unsorted Bool))
% 0.38/0.59  (declare-const tptp.uptakepg (-> $$unsorted Bool))
% 0.38/0.59  (declare-const tptp.uptakelg (-> $$unsorted Bool))
% 0.38/0.59  (declare-const tptp.drugi (-> $$unsorted Bool))
% 0.38/0.59  (declare-const tptp.bsecretioni (-> $$unsorted Bool))
% 0.38/0.59  (define @t1 () (@var "X" $$unsorted))
% 0.38/0.59  (define @t2 () (@var "Z" $$unsorted))
% 0.38/0.59  (define @t3 () (@var "Y" $$unsorted))
% 0.38/0.59  (define @t4 () (@var "X0" $$unsorted))
% 0.38/0.59  (define @t5 () (tptp.bcapacitysn @t4))
% 0.38/0.59  (define @t6 () (tptp.bcapacityex @t4))
% 0.38/0.59  (define @t7 () (tptp.bcapacityne @t4))
% 0.38/0.59  (define @t8 () (@list @t4))
% 0.38/0.59  (define @t9 () (not @t6))
% 0.38/0.59  (define @t10 () (not @t7))
% 0.38/0.59  (define @t11 () (not @t5))
% 0.38/0.59  (define @t12 () (tptp.conditionnormo @t4))
% 0.38/0.59  (define @t13 () (tptp.conditionhypo @t4))
% 0.38/0.59  (define @t14 () (tptp.conditionhyper @t4))
% 0.38/0.59  (define @t15 () (not @t13))
% 0.38/0.59  (define @t16 () (not @t14))
% 0.38/0.59  (define @t17 () (not @t12))
% 0.38/0.59  (define @t18 () (@var "X1" $$unsorted))
% 0.38/0.59  (define @t19 () (tptp.uptakepg @t18))
% 0.38/0.59  (define @t20 () (tptp.uptakelg @t18))
% 0.38/0.59  (define @t21 () (tptp.gt @t4 @t18))
% 0.38/0.59  (define @t22 () (not @t21))
% 0.38/0.59  (define @t23 () (@list @t18))
% 0.38/0.59  (define @t24 () (not (tptp.releaselg @t18)))
% 0.38/0.59  (define @t25 () (tptp.bsecretioni @t18))
% 0.38/0.59  (define @t26 () (forall @t23 (=> @t22 @t25)))
% 0.38/0.59  (define @t27 () (tptp.drugsu @t18))
% 0.38/0.59  (define @t28 () (forall @t23 (=> @t22 @t27)))
% 0.38/0.59  (define @t29 () (and @t28 @t9))
% 0.38/0.59  (define @t30 () (=> @t29 @t26))
% 0.38/0.59  (define @t31 () (forall @t8 @t30))
% 0.38/0.59  (define @t32 () (forall @t23 (=> @t22 @t24)))
% 0.38/0.59  (define @t33 () (tptp.drugbg @t18))
% 0.38/0.59  (define @t34 () (forall @t23 (=> @t22 @t33)))
% 0.38/0.59  (define @t35 () (=> @t34 @t32))
% 0.38/0.59  (define @t36 () (forall @t8 @t35))
% 0.38/0.59  (define @t37 () (tptp.conditionnormo @t18))
% 0.38/0.59  (define @t38 () (forall @t23 (=> @t22 @t37)))
% 0.38/0.59  (define @t39 () (tptp.conditionhyper @t18))
% 0.38/0.59  (define @t40 () (forall @t23 (=> @t21 @t39)))
% 0.38/0.59  (define @t41 () (tptp.qilt27 @t4))
% 0.38/0.59  (define @t42 () (forall @t23 (=> @t22 @t19)))
% 0.38/0.59  (define @t43 () (or @t32 @t42))
% 0.38/0.59  (define @t44 () (and @t43 @t7 @t26 @t40))
% 0.38/0.59  (define @t45 () (=> @t44 @t38))
% 0.38/0.59  (define @t46 () (forall @t8 @t45))
% 0.38/0.59  (define @t47 () (tptp.gt tptp.n0 @t4))
% 0.38/0.59  (define @t48 () (not @t47))
% 0.38/0.59  (define @t49 () (forall @t8 (=> @t48 @t12)))
% 0.38/0.59  (define @t50 () (tptp.bcapacityne tptp.n0))
% 0.38/0.59  (define @t51 () (forall @t8 (=> @t47 @t14)))
% 0.38/0.59  (define @t52 () (and (tptp.drugbg @t4) (tptp.drugsu @t4)))
% 0.38/0.59  (define @t53 () (forall @t8 (=> @t48 @t52)))
% 0.38/0.59  (define @t54 () (and @t53 @t51 @t50))
% 0.38/0.59  (define @t55 () (=> @t54 @t49))
% 0.38/0.59  (define @t56 () (not @t55))
% 0.38/0.59  (define @t57 () (@var "BOUND_VARIABLE_7615" $$unsorted))
% 0.38/0.59  (define @t58 () (not (tptp.releaselg @t57)))
% 0.38/0.59  (define @t59 () (tptp.gt @t4 @t57))
% 0.38/0.59  (define @t60 () (forall @t23 (or @t21 @t33)))
% 0.38/0.59  (define @t61 () (not @t60))
% 0.38/0.59  (define @t62 () (or @t61 @t59 @t58))
% 0.38/0.59  (define @t63 () (or @t59 @t58))
% 0.38/0.59  (define @t64 () (or @t61 @t63))
% 0.38/0.59  (define @t65 () (@list @t4 @t57))
% 0.38/0.59  (define @t66 () (forall @t65 @t64))
% 0.38/0.59  (define @t67 () (@list @t57))
% 0.38/0.59  (define @t68 () (forall @t67 @t64))
% 0.38/0.59  (define @t69 () (forall @t67 @t63))
% 0.38/0.59  (define @t70 () (@list @t18))
% 0.38/0.59  (define @t71 () (or @t61 @t69))
% 0.38/0.59  (define @t72 () (forall @t23 (or @t21 @t24)))
% 0.38/0.59  (define @t73 () (not @t22))
% 0.38/0.59  (define @t74 () (@var "BOUND_VARIABLE_7683" $$unsorted))
% 0.38/0.59  (define @t75 () (tptp.conditionnormo @t74))
% 0.38/0.59  (define @t76 () (tptp.gt @t4 @t74))
% 0.38/0.59  (define @t77 () (forall @t23 (or @t22 @t39)))
% 0.38/0.59  (define @t78 () (not @t77))
% 0.38/0.59  (define @t79 () (forall @t23 (or @t21 @t25)))
% 0.38/0.59  (define @t80 () (not @t79))
% 0.38/0.59  (define @t81 () (forall @t23 (or @t21 @t19)))
% 0.38/0.59  (define @t82 () (and (not @t72) (not @t81)))
% 0.38/0.59  (define @t83 () (or @t76 @t75))
% 0.38/0.59  (define @t84 () (or @t82 @t10 @t80 @t78 @t83))
% 0.38/0.59  (define @t85 () (forall (@list @t4 @t74) @t84))
% 0.38/0.59  (define @t86 () (@list @t74))
% 0.38/0.59  (define @t87 () (forall @t86 @t84))
% 0.38/0.59  (define @t88 () (forall @t86 @t83))
% 0.38/0.59  (define @t89 () (or @t82 @t10 @t80 @t78 @t88))
% 0.38/0.59  (define @t90 () (forall @t23 (or @t21 @t37)))
% 0.38/0.59  (define @t91 () (or @t82 @t10 @t80 @t78 @t90))
% 0.38/0.59  (define @t92 () (or @t72 @t81))
% 0.38/0.59  (define @t93 () (not @t92))
% 0.38/0.59  (define @t94 () (or @t93 @t10 @t80 @t78))
% 0.38/0.59  (define @t95 () (and @t92 @t7 @t79 @t77))
% 0.38/0.59  (define @t96 () (@quantifiers_skolemize (forall @t8 (or @t47 @t12)) 0))
% 0.38/0.59  (define @t97 () (not @t48))
% 0.38/0.59  (define @t98 () (forall @t8 (or @t48 @t14)))
% 0.38/0.59  (define @t99 () (tptp.gt tptp.n0 @t18))
% 0.38/0.59  (define @t100 () (forall @t23 (or (not @t99) @t39)))
% 0.38/0.59  (define @t101 () (@list false))
% 0.38/0.59  (define @t102 () (forall @t23 (or @t99 @t25)))
% 0.38/0.59  (define @t103 () (@quantifiers_skolemize @t102 0))
% 0.38/0.59  (define @t104 () (tptp.bsecretioni @t103))
% 0.38/0.59  (define @t105 () (tptp.gt tptp.n0 @t103))
% 0.38/0.59  (define @t106 () (or @t105 @t104))
% 0.38/0.59  (define @t107 () (tptp.bcapacityex tptp.n0))
% 0.38/0.59  (define @t108 () (not @t107))
% 0.38/0.59  (define @t109 () (not @t50))
% 0.38/0.59  (define @t110 () (or @t109 @t108))
% 0.38/0.59  (define @t111 () (forall @t23 (or @t99 @t27)))
% 0.38/0.59  (define @t112 () (@quantifiers_skolemize @t111 0))
% 0.38/0.59  (define @t113 () (tptp.drugsu @t112))
% 0.38/0.59  (define @t114 () (tptp.gt tptp.n0 @t112))
% 0.38/0.59  (define @t115 () (or @t114 @t113))
% 0.38/0.59  (define @t116 () (and (tptp.drugbg @t112) @t113))
% 0.38/0.59  (define @t117 () (or @t114 @t116))
% 0.38/0.59  (define @t118 () (@list false false true true))
% 0.38/0.59  (define @t119 () (not @t115))
% 0.38/0.59  (define @t120 () (not @t111))
% 0.38/0.59  (define @t121 () (@var "BOUND_VARIABLE_7595" $$unsorted))
% 0.38/0.59  (define @t122 () (tptp.bsecretioni @t121))
% 0.38/0.59  (define @t123 () (tptp.gt @t4 @t121))
% 0.38/0.59  (define @t124 () (forall @t23 (or @t21 @t27)))
% 0.38/0.59  (define @t125 () (not @t124))
% 0.38/0.59  (define @t126 () (or @t123 @t122))
% 0.38/0.59  (define @t127 () (or @t125 @t6 @t126))
% 0.38/0.59  (define @t128 () (forall (@list @t4 @t121) @t127))
% 0.38/0.59  (define @t129 () (@list @t121))
% 0.38/0.59  (define @t130 () (forall @t129 @t127))
% 0.38/0.59  (define @t131 () (forall @t129 @t126))
% 0.38/0.59  (define @t132 () (or @t125 @t6 @t131))
% 0.38/0.59  (define @t133 () (or @t125 @t6 @t79))
% 0.38/0.59  (define @t134 () (and @t124 @t9))
% 0.38/0.59  (define @t135 () (or @t120 @t107 @t105 @t104))
% 0.38/0.59  (define @t136 () (not @t106))
% 0.38/0.59  (define @t137 () (not @t102))
% 0.38/0.59  (define @t138 () (tptp.conditionnormo @t96))
% 0.38/0.59  (define @t139 () (tptp.gt tptp.n0 @t96))
% 0.38/0.59  (define @t140 () (or @t139 @t138))
% 0.38/0.59  (define @t141 () (@list true))
% 0.38/0.59  (define @t142 () (@list @t140))
% 0.38/0.59  (define @t143 () (not @t100))
% 0.38/0.59  (define @t144 () (forall @t23 (or @t99 @t24)))
% 0.38/0.59  (define @t145 () (not @t144))
% 0.38/0.59  (define @t146 () (and @t145 (not (forall @t23 (or @t99 @t19)))))
% 0.38/0.59  (define @t147 () (or @t146 @t109 @t137 @t143 @t139 @t138))
% 0.38/0.59  (define @t148 () (@quantifiers_skolemize @t144 0))
% 0.38/0.59  (define @t149 () (tptp.releaselg @t148))
% 0.38/0.59  (define @t150 () (not @t149))
% 0.38/0.59  (define @t151 () (tptp.gt tptp.n0 @t148))
% 0.38/0.59  (define @t152 () (or @t151 @t150))
% 0.38/0.59  (define @t153 () (not @t152))
% 0.38/0.59  (define @t154 () (@list @t152))
% 0.38/0.59  (define @t155 () (forall @t23 (or @t99 @t33)))
% 0.38/0.59  (define @t156 () (@quantifiers_skolemize @t155 0))
% 0.38/0.59  (define @t157 () (tptp.drugbg @t156))
% 0.38/0.59  (define @t158 () (tptp.gt tptp.n0 @t156))
% 0.38/0.59  (define @t159 () (or @t158 @t157))
% 0.38/0.59  (define @t160 () (and @t157 (tptp.drugsu @t156)))
% 0.38/0.59  (define @t161 () (or @t158 @t160))
% 0.38/0.59  (define @t162 () (not @t159))
% 0.38/0.59  (define @t163 () (not @t155))
% 0.38/0.59  (define @t164 () (or @t163 @t151 @t150))
% 0.38/0.59  (define @t165 () (not @t164))
% 0.38/0.59  (define @t166 () (forall @t65 @t62))
% 0.38/0.59  (assume @p1 (forall (@list @t1) (not (tptp.gt @t1 @t1))))
% 0.38/0.59  (assume @p2 (forall (@list @t1 @t3 @t2) (=> (and (tptp.gt @t1 @t3) (tptp.gt @t3 @t2)) (tptp.gt @t1 @t2))))
% 0.38/0.59  (assume @p3 (forall @t8 (or @t7 @t6 @t5)))
% 0.38/0.59  (assume @p4 (forall @t8 (or @t10 @t9)))
% 0.38/0.59  (assume @p5 (forall @t8 (or @t10 @t11)))
% 0.38/0.59  (assume @p6 (forall @t8 (or @t9 @t11)))
% 0.38/0.59  (assume @p7 (forall @t8 (or @t14 @t13 @t12)))
% 0.38/0.59  (assume @p8 (forall @t8 (or @t16 @t15)))
% 0.38/0.59  (assume @p9 (forall @t8 (or @t16 @t17)))
% 0.38/0.59  (assume @p10 (forall @t8 (or @t15 @t17)))
% 0.38/0.59  (assume @p11 (forall @t8 (=> (forall @t23 (=> @t22 (tptp.drugi @t18))) (forall @t23 (=> @t22 (and @t20 @t19))))))
% 0.38/0.59  (assume @p12 (forall (@list @t4 @t18) (=> @t22 (=> @t20 @t24))))
% 0.38/0.59  (assume @p13 @t31)
% 0.38/0.59  (assume @p14 @t36)
% 0.38/0.59  (assume @p15 (forall @t8 (=> (and @t26 @t5 @t41 @t40) @t38)))
% 0.38/0.59  (assume @p16 (forall @t8 (=> (and @t32 @t5 (not @t41) @t40) @t38)))
% 0.38/0.59  (assume @p17 @t46)
% 0.38/0.59  (assume @p18 (forall @t8 (=> (and (forall @t23 (=> @t22 @t20)) @t42 @t6 @t40) (forall @t23 (=> @t22 (or @t37 (tptp.conditionhypo @t18)))))))
% 0.38/0.59  (assume @p19 @t56)
% 0.38/0.59  (assume @p20 true)
% 0.38/0.59  (step @p21 :rule aci_norm :args ((= @t64 @t62)))
% 0.38/0.59  (step @p22 :rule cong :premises (@p21) :args (@t66))
% 0.38/0.59  (step @p23 :rule quant-merge-prenex :args ((= (forall @t8 @t68) @t66)))
% 0.38/0.59  (step @p24 :rule alpha_equiv :args (@t69 (@list @t57) @t70))
% 0.38/0.59  (step @p25 :rule refl :args (@t61))
% 0.38/0.59  (step @p26 :rule nary_cong :premises (@p25 @p24) :args (@t71))
% 0.38/0.59  (step @p27 :rule quant-miniscope-or :args ((= @t68 @t71)))
% 0.38/0.59  (step @p28 :rule trans :premises (@p27 @p26))
% 0.38/0.59  (step @p29 :rule symm :premises (@p28))
% 0.38/0.59  (step @p30 :rule cong :premises (@p29) :args ((forall @t8 (or @t61 @t72))))
% 0.38/0.59  (step @p31 :rule trans :premises (@p30 @p23))
% 0.38/0.59  (step @p32 :rule trans :premises (@p31 @p22))
% 0.38/0.59  (step @p33 :rule bool-impl-elim :args (@t60 @t72))
% 0.38/0.59  (step @p34 :rule cong :premises (@p33) :args ((forall @t8 (=> @t60 @t72))))
% 0.38/0.59  (step @p35 :rule trans :premises (@p34 @p32))
% 0.38/0.59  (step @p36 :rule refl :args (@t24))
% 0.38/0.59  (step @p37 :rule bool-double-not-elim :args (@t21))
% 0.38/0.59  (step @p38 :rule nary_cong :premises (@p37 @p36) :args ((or @t73 @t24)))
% 0.38/0.59  (step @p39 :rule bool-impl-elim :args (@t22 @t24))
% 0.38/0.59  (step @p40 :rule trans :premises (@p39 @p38))
% 0.38/0.59  (step @p41 :rule cong :premises (@p40) :args (@t32))
% 0.38/0.59  (step @p42 :rule refl :args (@t33))
% 0.38/0.59  (step @p43 :rule nary_cong :premises (@p37 @p42) :args ((or @t73 @t33)))
% 0.38/0.59  (step @p44 :rule bool-impl-elim :args (@t22 @t33))
% 0.38/0.59  (step @p45 :rule trans :premises (@p44 @p43))
% 0.38/0.59  (step @p46 :rule cong :premises (@p45) :args (@t34))
% 0.38/0.59  (step @p47 :rule cong :premises (@p46 @p41) :args (@t35))
% 0.38/0.59  (step @p48 :rule cong :premises (@p47) :args (@t36))
% 0.38/0.59  (step @p49 :rule trans :premises (@p48 @p35))
% 0.38/0.59  (step @p50 :rule eq_resolve :premises (@p14 @p49))
% 0.38/0.59  (step @p51 :rule aci_norm :args ((= @t84 (or @t82 @t10 @t80 @t78 @t76 @t75))))
% 0.38/0.59  (step @p52 :rule cong :premises (@p51) :args (@t85))
% 0.38/0.59  (step @p53 :rule quant-merge-prenex :args ((= (forall @t8 @t87) @t85)))
% 0.38/0.59  (step @p54 :rule alpha_equiv :args (@t88 (@list @t74) @t70))
% 0.38/0.59  (step @p55 :rule refl :args (@t78))
% 0.38/0.59  (step @p56 :rule refl :args (@t80))
% 0.38/0.59  (step @p57 :rule refl :args (@t10))
% 0.38/0.59  (step @p58 :rule refl :args (@t82))
% 0.38/0.59  (step @p59 :rule nary_cong :premises (@p58 @p57 @p56 @p55 @p54) :args (@t89))
% 0.38/0.59  (step @p60 :rule quant-miniscope-or :args ((= @t87 @t89)))
% 0.38/0.59  (step @p61 :rule trans :premises (@p60 @p59))
% 0.38/0.59  (step @p62 :rule symm :premises (@p61))
% 0.38/0.59  (step @p63 :rule cong :premises (@p62) :args ((forall @t8 @t91)))
% 0.38/0.59  (step @p64 :rule trans :premises (@p63 @p53))
% 0.38/0.59  (step @p65 :rule trans :premises (@p64 @p52))
% 0.38/0.59  (step @p66 :rule aci_norm :args ((= (or (or @t82 @t10 @t80 @t78) @t90) @t91)))
% 0.38/0.59  (step @p67 :rule refl :args (@t90))
% 0.38/0.59  (step @p68 :rule bool-or-de-morgan :args (@t72 @t81 false))
% 0.38/0.59  (step @p69 :rule nary_cong :premises (@p68 @p57 @p56 @p55) :args (@t94))
% 0.38/0.59  (step @p70 :rule aci_norm :args ((= (or @t93 (or @t10 (or @t80 @t78))) @t94)))
% 0.38/0.59  (step @p71 :rule bool-and-de-morgan :args (@t79 @t77 true))
% 0.38/0.59  (step @p72 :rule nary_cong :premises (@p57 @p71) :args ((or @t10 (not (and @t79 @t77)))))
% 0.38/0.59  (step @p73 :rule bool-and-de-morgan :args (@t7 @t79 (and @t77)))
% 0.38/0.59  (step @p74 :rule trans :premises (@p73 @p72))
% 0.38/0.59  (step @p75 :rule refl :args (@t93))
% 0.38/0.59  (step @p76 :rule nary_cong :premises (@p75 @p74) :args ((or @t93 (not (and @t7 @t79 @t77)))))
% 0.38/0.59  (step @p77 :rule bool-and-de-morgan :args (@t92 @t7 (and @t79 @t77)))
% 0.38/0.59  (step @p78 :rule trans :premises (@p77 @p76))
% 0.38/0.59  (step @p79 :rule trans :premises (@p78 @p70))
% 0.38/0.59  (step @p80 :rule trans :premises (@p79 @p69))
% 0.38/0.59  (step @p81 :rule nary_cong :premises (@p80 @p67) :args ((or (not @t95) @t90)))
% 0.38/0.59  (step @p82 :rule trans :premises (@p81 @p66))
% 0.38/0.59  (step @p83 :rule bool-impl-elim :args (@t95 @t90))
% 0.38/0.59  (step @p84 :rule trans :premises (@p83 @p82))
% 0.38/0.59  (step @p85 :rule cong :premises (@p84) :args ((forall @t8 (=> @t95 @t90))))
% 0.38/0.59  (step @p86 :rule trans :premises (@p85 @p65))
% 0.38/0.59  (step @p87 :rule refl :args (@t37))
% 0.38/0.59  (step @p88 :rule nary_cong :premises (@p37 @p87) :args ((or @t73 @t37)))
% 0.38/0.59  (step @p89 :rule bool-impl-elim :args (@t22 @t37))
% 0.38/0.59  (step @p90 :rule trans :premises (@p89 @p88))
% 0.38/0.59  (step @p91 :rule cong :premises (@p90) :args (@t38))
% 0.38/0.59  (step @p92 :rule bool-impl-elim :args (@t21 @t39))
% 0.38/0.59  (step @p93 :rule cong :premises (@p92) :args (@t40))
% 0.38/0.59  (step @p94 :rule refl :args (@t25))
% 0.38/0.59  (step @p95 :rule nary_cong :premises (@p37 @p94) :args ((or @t73 @t25)))
% 0.38/0.59  (step @p96 :rule bool-impl-elim :args (@t22 @t25))
% 0.38/0.59  (step @p97 :rule trans :premises (@p96 @p95))
% 0.38/0.59  (step @p98 :rule cong :premises (@p97) :args (@t26))
% 0.38/0.59  (step @p99 :rule refl :args (@t7))
% 0.38/0.59  (step @p100 :rule refl :args (@t19))
% 0.38/0.59  (step @p101 :rule nary_cong :premises (@p37 @p100) :args ((or @t73 @t19)))
% 0.38/0.59  (step @p102 :rule bool-impl-elim :args (@t22 @t19))
% 0.38/0.59  (step @p103 :rule trans :premises (@p102 @p101))
% 0.38/0.59  (step @p104 :rule cong :premises (@p103) :args (@t42))
% 0.38/0.59  (step @p105 :rule nary_cong :premises (@p41 @p104) :args (@t43))
% 0.38/0.59  (step @p106 :rule nary_cong :premises (@p105 @p99 @p98 @p93) :args (@t44))
% 0.38/0.59  (step @p107 :rule cong :premises (@p106 @p91) :args (@t45))
% 0.38/0.59  (step @p108 :rule cong :premises (@p107) :args (@t46))
% 0.38/0.59  (step @p109 :rule trans :premises (@p108 @p86))
% 0.38/0.59  (step @p110 :rule eq_resolve :premises (@p17 @p109))
% 0.38/0.59  (step @p111 :rule instantiate :premises (@p110) :args ((@list tptp.n0 @t96)))
% 0.38/0.59  (step @p112 :rule refl :args (@t12))
% 0.38/0.59  (step @p113 :rule bool-double-not-elim :args (@t47))
% 0.38/0.59  (step @p114 :rule nary_cong :premises (@p113 @p112) :args ((or @t97 @t12)))
% 0.38/0.59  (step @p115 :rule bool-impl-elim :args (@t48 @t12))
% 0.38/0.59  (step @p116 :rule trans :premises (@p115 @p114))
% 0.38/0.59  (step @p117 :rule cong :premises (@p116) :args (@t49))
% 0.38/0.59  (step @p118 :rule refl :args (@t50))
% 0.38/0.59  (step @p119 :rule bool-impl-elim :args (@t47 @t14))
% 0.38/0.59  (step @p120 :rule cong :premises (@p119) :args (@t51))
% 0.38/0.59  (step @p121 :rule refl :args (@t52))
% 0.38/0.59  (step @p122 :rule nary_cong :premises (@p113 @p121) :args ((or @t97 @t52)))
% 0.38/0.59  (step @p123 :rule bool-impl-elim :args (@t48 @t52))
% 0.38/0.59  (step @p124 :rule trans :premises (@p123 @p122))
% 0.38/0.59  (step @p125 :rule cong :premises (@p124) :args (@t53))
% 0.38/0.59  (step @p126 :rule nary_cong :premises (@p125 @p120 @p118) :args (@t54))
% 0.38/0.59  (step @p127 :rule cong :premises (@p126 @p117) :args (@t55))
% 0.38/0.59  (step @p128 :rule cong :premises (@p127) :args (@t56))
% 0.38/0.59  (step @p129 :rule eq_resolve :premises (@p19 @p128))
% 0.38/0.59  (step @p130 :rule not_implies_elim1 :premises (@p129))
% 0.38/0.59  (step @p131 :rule and_elim :premises (@p130) :args (1))
% 0.38/0.59  (step @p132 :rule alpha_equiv :args (@t98 (@list @t4) @t70))
% 0.38/0.59  (step @p133 :rule equiv_elim1 :premises (@p132))
% 0.38/0.59  (step @p134 :rule chain_m_resolution :premises (@p133 @p131) :args (@t100 @t101 (@list @t98)))
% 0.38/0.59  (step @p135 :rule cnf_or_neg :args (@t106 0))
% 0.38/0.59  (step @p136 :rule cnf_or_neg :args (@t106 1))
% 0.38/0.59  (step @p137 :rule instantiate :premises (@p4) :args ((@list tptp.n0)))
% 0.38/0.59  (step @p138 :rule and_elim :premises (@p130) :args (2))
% 0.38/0.59  (step @p139 :rule cnf_or_pos :args (@t110))
% 0.38/0.59  (step @p140 :rule reordering :premises (@p139) :args ((or @t109 @t108 (not @t110))))
% 0.38/0.59  (step @p141 :rule chain_m_resolution :premises (@p140 @p138 @p137) :args (@t108 (@list false false) (@list @t50 @t110)))
% 0.38/0.59  (step @p142 :rule cnf_or_neg :args (@t115 0))
% 0.38/0.59  (step @p143 :rule cnf_or_neg :args (@t115 1))
% 0.38/0.59  (step @p144 :rule and_elim :premises (@p130) :args (0))
% 0.38/0.59  (step @p145 :rule instantiate :premises (@p144) :args ((@list @t112)))
% 0.38/0.59  (step @p146 :rule cnf_or_pos :args (@t117))
% 0.38/0.59  (step @p147 :rule reordering :premises (@p146) :args ((or @t114 @t116 (not @t117))))
% 0.38/0.59  (step @p148 :rule cnf_and_pos :args (@t116 1))
% 0.38/0.59  (step @p149 :rule reordering :premises (@p148) :args ((or @t113 (not @t116))))
% 0.38/0.59  (step @p150 :rule chain_m_resolution :premises (@p149 @p147 @p145 @p143 @p142) :args (@t115 @t118 (@list @t116 @t117 @t113 @t114)))
% 0.38/0.59  (step @p151 :rule refl :args (@t119))
% 0.38/0.59  (step @p152 :rule bool-double-not-elim :args (@t111))
% 0.38/0.59  (step @p153 :rule nary_cong :premises (@p152 @p151) :args ((or (not @t120) @t119)))
% 0.38/0.59  (assume-push @p269 @t120)
% 0.38/0.59  (step @p155 :rule skolemize :premises (@p269))
% 0.38/0.59  (step-pop @p270 :rule scope :premises (@p155))
% 0.38/0.59  (step @p156 :rule process_scope :premises (@p270) :args (@t119))
% 0.38/0.59  (step @p158 :rule implies_elim :premises (@p156))
% 0.38/0.59  (step @p159 :rule eq_resolve :premises (@p158 @p153))
% 0.38/0.59  (step @p160 :rule chain_m_resolution :premises (@p159 @p150) :args (@t111 @t101 (@list @t115)))
% 0.38/0.59  (step @p161 :rule aci_norm :args ((= @t127 (or @t125 @t6 @t123 @t122))))
% 0.38/0.59  (step @p162 :rule cong :premises (@p161) :args (@t128))
% 0.38/0.59  (step @p163 :rule quant-merge-prenex :args ((= (forall @t8 @t130) @t128)))
% 0.38/0.59  (step @p164 :rule alpha_equiv :args (@t131 (@list @t121) @t70))
% 0.38/0.59  (step @p165 :rule refl :args (@t6))
% 0.38/0.59  (step @p166 :rule refl :args (@t125))
% 0.38/0.59  (step @p167 :rule nary_cong :premises (@p166 @p165 @p164) :args (@t132))
% 0.38/0.59  (step @p168 :rule quant-miniscope-or :args ((= @t130 @t132)))
% 0.38/0.59  (step @p169 :rule trans :premises (@p168 @p167))
% 0.38/0.59  (step @p170 :rule symm :premises (@p169))
% 0.38/0.59  (step @p171 :rule cong :premises (@p170) :args ((forall @t8 @t133)))
% 0.38/0.59  (step @p172 :rule trans :premises (@p171 @p163))
% 0.38/0.59  (step @p173 :rule trans :premises (@p172 @p162))
% 0.38/0.59  (step @p174 :rule aci_norm :args ((= (or (or @t125 @t6) @t79) @t133)))
% 0.38/0.59  (step @p175 :rule refl :args (@t79))
% 0.38/0.59  (step @p176 :rule bool-double-not-elim :args (@t6))
% 0.38/0.59  (step @p177 :rule nary_cong :premises (@p166 @p176) :args ((or @t125 (not @t9))))
% 0.38/0.59  (step @p178 :rule bool-and-de-morgan :args (@t124 @t9 true))
% 0.38/0.59  (step @p179 :rule trans :premises (@p178 @p177))
% 0.38/0.59  (step @p180 :rule nary_cong :premises (@p179 @p175) :args ((or (not @t134) @t79)))
% 0.38/0.59  (step @p181 :rule trans :premises (@p180 @p174))
% 0.38/0.59  (step @p182 :rule bool-impl-elim :args (@t134 @t79))
% 0.38/0.59  (step @p183 :rule trans :premises (@p182 @p181))
% 0.38/0.59  (step @p184 :rule cong :premises (@p183) :args ((forall @t8 (=> @t134 @t79))))
% 0.38/0.59  (step @p185 :rule trans :premises (@p184 @p173))
% 0.38/0.59  (step @p186 :rule refl :args (@t9))
% 0.38/0.59  (step @p187 :rule refl :args (@t27))
% 0.38/0.59  (step @p188 :rule nary_cong :premises (@p37 @p187) :args ((or @t73 @t27)))
% 0.38/0.59  (step @p189 :rule bool-impl-elim :args (@t22 @t27))
% 0.38/0.59  (step @p190 :rule trans :premises (@p189 @p188))
% 0.38/0.59  (step @p191 :rule cong :premises (@p190) :args (@t28))
% 0.38/0.59  (step @p192 :rule nary_cong :premises (@p191 @p186) :args (@t29))
% 0.38/0.59  (step @p193 :rule cong :premises (@p192 @p98) :args (@t30))
% 0.38/0.59  (step @p194 :rule cong :premises (@p193) :args (@t31))
% 0.38/0.59  (step @p195 :rule trans :premises (@p194 @p185))
% 0.38/0.59  (step @p196 :rule eq_resolve :premises (@p13 @p195))
% 0.38/0.59  (step @p197 :rule instantiate :premises (@p196) :args ((@list tptp.n0 @t103)))
% 0.38/0.59  (step @p198 :rule cnf_or_pos :args (@t135))
% 0.38/0.59  (step @p199 :rule reordering :premises (@p198) :args ((or @t107 @t120 @t105 @t104 (not @t135))))
% 0.38/0.59  (step @p200 :rule chain_m_resolution :premises (@p199 @p197 @p160 @p141 @p136 @p135) :args (@t106 (@list false false true true true) (@list @t135 @t111 @t107 @t104 @t105)))
% 0.38/0.59  (step @p201 :rule refl :args (@t136))
% 0.38/0.59  (step @p202 :rule bool-double-not-elim :args (@t102))
% 0.38/0.59  (step @p203 :rule nary_cong :premises (@p202 @p201) :args ((or (not @t137) @t136)))
% 0.38/0.59  (assume-push @p271 @t137)
% 0.38/0.59  (step @p205 :rule skolemize :premises (@p271))
% 0.38/0.59  (step-pop @p272 :rule scope :premises (@p205))
% 0.38/0.59  (step @p206 :rule process_scope :premises (@p272) :args (@t136))
% 0.38/0.59  (step @p208 :rule implies_elim :premises (@p206))
% 0.38/0.59  (step @p209 :rule eq_resolve :premises (@p208 @p203))
% 0.38/0.59  (step @p210 :rule chain_m_resolution :premises (@p209 @p200) :args (@t102 @t101 (@list @t106)))
% 0.38/0.59  (step @p211 :rule not_implies_elim2 :premises (@p129))
% 0.38/0.59  (step @p212 :rule skolemize :premises (@p211))
% 0.38/0.59  (step @p213 :rule cnf_or_neg :args (@t140 1))
% 0.38/0.59  (step @p214 :rule chain_m_resolution :premises (@p213 @p212) :args ((not @t138) @t141 @t142))
% 0.38/0.59  (step @p215 :rule cnf_or_neg :args (@t140 0))
% 0.38/0.59  (step @p216 :rule chain_m_resolution :premises (@p215 @p212) :args ((not @t139) @t141 @t142))
% 0.38/0.59  (step @p217 :rule cnf_or_pos :args (@t147))
% 0.38/0.59  (step @p218 :rule reordering :premises (@p217) :args ((or @t109 @t139 @t138 @t137 @t143 @t146 (not @t147))))
% 0.38/0.59  (step @p219 :rule chain_m_resolution :premises (@p218 @p138 @p216 @p214 @p210 @p134 @p111) :args (@t146 (@list false true true false false false) (@list @t50 @t139 @t138 @t102 @t100 @t147)))
% 0.38/0.59  (step @p220 :rule cnf_and_pos :args (@t146 0))
% 0.38/0.59  (step @p221 :rule reordering :premises (@p220) :args ((or @t145 (not @t146))))
% 0.38/0.59  (step @p222 :rule chain_m_resolution :premises (@p221 @p219) :args (@t145 @t101 (@list @t146)))
% 0.38/0.59  (step @p223 :rule refl :args (@t153))
% 0.38/0.59  (step @p224 :rule bool-double-not-elim :args (@t144))
% 0.38/0.60  (step @p225 :rule nary_cong :premises (@p224 @p223) :args ((or (not @t145) @t153)))
% 0.38/0.60  (assume-push @p273 @t145)
% 0.38/0.60  (step @p227 :rule skolemize :premises (@p273))
% 0.38/0.60  (step-pop @p274 :rule scope :premises (@p227))
% 0.38/0.60  (step @p228 :rule process_scope :premises (@p274) :args (@t153))
% 0.38/0.60  (step @p230 :rule implies_elim :premises (@p228))
% 0.38/0.60  (step @p231 :rule eq_resolve :premises (@p230 @p225))
% 0.38/0.60  (step @p232 :rule chain_m_resolution :premises (@p231 @p222) :args (@t153 @t141 (@list @t144)))
% 0.38/0.60  (step @p233 :rule bool-double-not-elim :args (@t149))
% 0.38/0.60  (step @p234 :rule refl :args (@t152))
% 0.38/0.60  (step @p235 :rule nary_cong :premises (@p234 @p233) :args ((or @t152 (not @t150))))
% 0.38/0.60  (step @p236 :rule cnf_or_neg :args (@t152 1))
% 0.38/0.60  (step @p237 :rule eq_resolve :premises (@p236 @p235))
% 0.38/0.60  (step @p238 :rule reordering :premises (@p237) :args ((or @t149 @t152)))
% 0.38/0.60  (step @p239 :rule chain_m_resolution :premises (@p238 @p232) :args (@t149 @t141 @t154))
% 0.38/0.60  (step @p240 :rule cnf_or_neg :args (@t152 0))
% 0.38/0.60  (step @p241 :rule chain_m_resolution :premises (@p240 @p232) :args ((not @t151) @t141 @t154))
% 0.38/0.60  (step @p242 :rule cnf_or_neg :args (@t159 0))
% 0.38/0.60  (step @p243 :rule cnf_or_neg :args (@t159 1))
% 0.38/0.60  (step @p244 :rule instantiate :premises (@p144) :args ((@list @t156)))
% 0.38/0.60  (step @p245 :rule cnf_or_pos :args (@t161))
% 0.38/0.60  (step @p246 :rule reordering :premises (@p245) :args ((or @t158 @t160 (not @t161))))
% 0.38/0.60  (step @p247 :rule cnf_and_pos :args (@t160 0))
% 0.38/0.60  (step @p248 :rule reordering :premises (@p247) :args ((or @t157 (not @t160))))
% 0.38/0.60  (step @p249 :rule chain_m_resolution :premises (@p248 @p246 @p244 @p243 @p242) :args (@t159 @t118 (@list @t160 @t161 @t157 @t158)))
% 0.38/0.60  (step @p250 :rule refl :args (@t162))
% 0.38/0.60  (step @p251 :rule bool-double-not-elim :args (@t155))
% 0.38/0.60  (step @p252 :rule nary_cong :premises (@p251 @p250) :args ((or (not @t163) @t162)))
% 0.38/0.60  (assume-push @p275 @t163)
% 0.38/0.60  (step @p254 :rule skolemize :premises (@p275))
% 0.38/0.60  (step-pop @p276 :rule scope :premises (@p254))
% 0.38/0.60  (step @p255 :rule process_scope :premises (@p276) :args (@t162))
% 0.38/0.60  (step @p257 :rule implies_elim :premises (@p255))
% 0.38/0.60  (step @p258 :rule eq_resolve :premises (@p257 @p252))
% 0.38/0.60  (step @p259 :rule chain_m_resolution :premises (@p258 @p249) :args (@t155 @t101 (@list @t159)))
% 0.38/0.60  (step @p260 :rule cnf_or_pos :args (@t164))
% 0.38/0.60  (step @p261 :rule reordering :premises (@p260) :args ((or @t163 @t151 @t150 @t165)))
% 0.38/0.60  (step @p262 :rule chain_m_resolution :premises (@p261 @p259 @p241 @p239) :args (@t165 (@list false true false) (@list @t155 @t151 @t149)))
% 0.38/0.60  (assume-push @p277 @t166)
% 0.38/0.60  (step @p264 :rule instantiate :premises (@p50) :args ((@list tptp.n0 @t148)))
% 0.38/0.60  (step-pop @p278 :rule scope :premises (@p264))
% 0.38/0.60  (step @p265 :rule process_scope :premises (@p278) :args (@t164))
% 0.38/0.60  (step @p267 :rule implies_elim :premises (@p265))
% 0.38/0.60  (step @p268 false :rule chain_m_resolution :premises (@p267 @p262 @p50) :args (false (@list true false) (@list @t164 @t166)))
% 0.38/0.60  )
% 0.38/0.60  % SZS output end Proof
% 0.38/0.60  % cvc5 exiting
%------------------------------------------------------------------------------