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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : NUM463+2 : TPTP v9.2.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n011.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 08:39:30 AM UTC 2026

% Result   : Theorem 0.45s 0.63s
% Output   : Proof 0.45s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : NUM463+2 : TPTP v9.2.1. Released v4.0.0.
% 0.11/0.14  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.35  % Computer : n011.cluster.edu
% 0.16/0.35  % Model    : x86_64 x86_64
% 0.16/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35  % Memory   : 8042.1875MB
% 0.16/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35  % CPULimit : 300
% 0.16/0.35  % WCLimit  : 300
% 0.16/0.35  % DateTime : Tue Jun  2 11:21:35 EDT 2026
% 0.16/0.35  % CPUTime  : 
% 0.29/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.45/0.63  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.45/0.63  % SZS status Theorem
% 0.45/0.63  % SZS output start Proof
% 0.45/0.63  (
% 0.45/0.63  (declare-sort $$unsorted 0)
% 0.45/0.63  (declare-const tptp.xm $$unsorted)
% 0.45/0.63  (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted))
% 0.45/0.63  (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted))
% 0.45/0.63  (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool))
% 0.45/0.63  (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted))
% 0.45/0.63  (declare-const tptp.xn $$unsorted)
% 0.45/0.63  (declare-const tptp.sz10 $$unsorted)
% 0.45/0.63  (declare-const tptp.sz00 $$unsorted)
% 0.45/0.63  (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool))
% 0.45/0.63  (define @t1 () (@var "W0" $$unsorted))
% 0.45/0.63  (define @t2 () (tptp.aNaturalNumber0 @t1))
% 0.45/0.63  (define @t3 () (@list @t1))
% 0.45/0.63  (define @t4 () (tptp.aNaturalNumber0 tptp.sz00))
% 0.45/0.63  (define @t5 () (tptp.aNaturalNumber0 tptp.sz10))
% 0.45/0.63  (define @t6 () (@var "W1" $$unsorted))
% 0.45/0.63  (define @t7 () (tptp.sdtpldt0 @t1 @t6))
% 0.45/0.63  (define @t8 () (tptp.aNaturalNumber0 @t6))
% 0.45/0.63  (define @t9 () (and @t2 @t8))
% 0.45/0.63  (define @t10 () (@list @t1 @t6))
% 0.45/0.63  (define @t11 () (tptp.sdtasdt0 @t1 @t6))
% 0.45/0.63  (define @t12 () (tptp.sdtpldt0 @t6 @t1))
% 0.45/0.63  (define @t13 () (@var "W2" $$unsorted))
% 0.45/0.63  (define @t14 () (tptp.sdtpldt0 @t6 @t13))
% 0.45/0.63  (define @t15 () (tptp.aNaturalNumber0 @t13))
% 0.45/0.63  (define @t16 () (and @t2 @t8 @t15))
% 0.45/0.63  (define @t17 () (@list @t1 @t6 @t13))
% 0.45/0.63  (define @t18 () (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))
% 0.45/0.63  (define @t19 () (tptp.sdtpldt0 @t1 tptp.sz00))
% 0.45/0.63  (define @t20 () (and (= @t19 @t1) @t18))
% 0.45/0.63  (define @t21 () (=> @t2 @t20))
% 0.45/0.63  (define @t22 () (forall @t3 @t21))
% 0.45/0.63  (define @t23 () (tptp.sdtasdt0 @t6 @t1))
% 0.45/0.63  (define @t24 () (= @t11 @t23))
% 0.45/0.63  (define @t25 () (forall @t10 (=> @t9 @t24)))
% 0.45/0.63  (define @t26 () (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))
% 0.45/0.63  (define @t27 () (tptp.sdtasdt0 @t1 tptp.sz10))
% 0.45/0.63  (define @t28 () (and (= @t27 @t1) @t26))
% 0.45/0.63  (define @t29 () (=> @t2 @t28))
% 0.45/0.63  (define @t30 () (forall @t3 @t29))
% 0.45/0.63  (define @t31 () (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))
% 0.45/0.63  (define @t32 () (tptp.sdtasdt0 @t1 tptp.sz00))
% 0.45/0.63  (define @t33 () (and (= @t32 tptp.sz00) @t31))
% 0.45/0.63  (define @t34 () (=> @t2 @t33))
% 0.45/0.63  (define @t35 () (forall @t3 @t34))
% 0.45/0.63  (define @t36 () (tptp.sdtasdt0 @t13 @t1))
% 0.45/0.63  (define @t37 () (tptp.sdtasdt0 @t1 @t13))
% 0.45/0.63  (define @t38 () (= @t6 @t13))
% 0.45/0.63  (define @t39 () (tptp.sdtpldt0 @t13 @t1))
% 0.45/0.63  (define @t40 () (tptp.sdtpldt0 @t1 @t13))
% 0.45/0.63  (define @t41 () (= @t23 @t36))
% 0.45/0.63  (define @t42 () (= @t11 @t37))
% 0.45/0.63  (define @t43 () (and @t8 @t15))
% 0.45/0.63  (define @t44 () (= @t1 tptp.sz00))
% 0.45/0.63  (define @t45 () (not @t44))
% 0.45/0.63  (define @t46 () (= @t6 tptp.sz00))
% 0.45/0.63  (define @t47 () (and @t15 (= @t40 @t6)))
% 0.45/0.63  (define @t48 () (@list @t13))
% 0.45/0.63  (define @t49 () (tptp.sdtlseqdt0 @t1 @t6))
% 0.45/0.63  (define @t50 () (= @t1 @t6))
% 0.45/0.63  (define @t51 () (tptp.sdtlseqdt0 @t6 @t1))
% 0.45/0.63  (define @t52 () (tptp.sdtlseqdt0 @t6 @t13))
% 0.45/0.63  (define @t53 () (tptp.sdtpldt0 @t13 @t6))
% 0.45/0.63  (define @t54 () (and (not @t42) (tptp.sdtlseqdt0 @t11 @t37) (not @t41) (tptp.sdtlseqdt0 @t23 @t36)))
% 0.45/0.63  (define @t55 () (not @t38))
% 0.45/0.63  (define @t56 () (and @t45 @t55 @t52))
% 0.45/0.63  (define @t57 () (=> @t56 @t54))
% 0.45/0.63  (define @t58 () (forall @t17 (=> @t16 @t57)))
% 0.45/0.63  (define @t59 () (tptp.sdtlseqdt0 tptp.sz10 @t1))
% 0.45/0.63  (define @t60 () (not (= tptp.sz10 @t1)))
% 0.45/0.63  (define @t61 () (and @t60 @t59))
% 0.45/0.63  (define @t62 () (= @t1 tptp.sz10))
% 0.45/0.63  (define @t63 () (or @t44 @t62 @t61))
% 0.45/0.63  (define @t64 () (=> @t2 @t63))
% 0.45/0.63  (define @t65 () (forall @t3 @t64))
% 0.45/0.63  (define @t66 () (tptp.aNaturalNumber0 tptp.xn))
% 0.45/0.63  (define @t67 () (tptp.aNaturalNumber0 tptp.xm))
% 0.45/0.63  (define @t68 () (tptp.sdtasdt0 tptp.xn tptp.xm))
% 0.45/0.63  (define @t69 () (tptp.sdtlseqdt0 tptp.xn @t68))
% 0.45/0.63  (define @t70 () (= (tptp.sdtpldt0 tptp.xn @t1) @t68))
% 0.45/0.63  (define @t71 () (and @t2 @t70))
% 0.45/0.63  (define @t72 () (exists @t3 @t71))
% 0.45/0.63  (define @t73 () (or @t72 @t69))
% 0.45/0.63  (define @t74 () (= tptp.xm tptp.sz00))
% 0.45/0.63  (define @t75 () (not @t74))
% 0.45/0.63  (define @t76 () (=> @t75 @t73))
% 0.45/0.63  (define @t77 () (not @t76))
% 0.45/0.63  (define @t78 () (forall @t3 (not @t71)))
% 0.45/0.63  (define @t79 () (not @t78))
% 0.45/0.63  (define @t80 () (and (= @t1 @t27) @t26))
% 0.45/0.63  (define @t81 () (@list tptp.xn))
% 0.45/0.63  (define @t82 () (tptp.sdtasdt0 tptp.sz10 tptp.xn))
% 0.45/0.63  (define @t83 () (tptp.sdtasdt0 tptp.xn tptp.sz10))
% 0.45/0.63  (define @t84 () (= tptp.xn @t83))
% 0.45/0.63  (define @t85 () (and @t84 (= tptp.xn @t82)))
% 0.45/0.63  (define @t86 () (not @t66))
% 0.45/0.63  (define @t87 () (or @t86 @t85))
% 0.45/0.63  (define @t88 () (@list false false))
% 0.45/0.63  (define @t89 () (@list false))
% 0.45/0.63  (define @t90 () (not @t52))
% 0.45/0.63  (define @t91 () (not @t15))
% 0.45/0.63  (define @t92 () (not @t8))
% 0.45/0.63  (define @t93 () (not @t2))
% 0.45/0.63  (define @t94 () (or @t93 @t92 @t91 @t44 @t38 @t90 @t54))
% 0.45/0.63  (define @t95 () (or @t44 @t38 @t90 @t54))
% 0.45/0.63  (define @t96 () (or @t93 @t92 @t91))
% 0.45/0.63  (define @t97 () (not @t55))
% 0.45/0.63  (define @t98 () (not @t45))
% 0.45/0.63  (define @t99 () (or @t98 @t97 @t90))
% 0.45/0.63  (define @t100 () (tptp.sdtasdt0 tptp.xm tptp.xn))
% 0.45/0.63  (define @t101 () (tptp.sdtlseqdt0 @t82 @t100))
% 0.45/0.63  (define @t102 () (not (= @t82 @t100)))
% 0.45/0.63  (define @t103 () (tptp.sdtlseqdt0 @t83 @t68))
% 0.45/0.63  (define @t104 () (not (= @t83 @t68)))
% 0.45/0.63  (define @t105 () (and @t104 @t103 @t102 @t101))
% 0.45/0.63  (define @t106 () (tptp.sdtlseqdt0 tptp.sz10 tptp.xm))
% 0.45/0.63  (define @t107 () (not @t106))
% 0.45/0.63  (define @t108 () (= tptp.sz10 tptp.xm))
% 0.45/0.63  (define @t109 () (not @t67))
% 0.45/0.63  (define @t110 () (not @t5))
% 0.45/0.63  (define @t111 () (or @t86 @t110 @t109 (= tptp.xn tptp.sz00) @t108 @t107 @t105))
% 0.45/0.63  (define @t112 () (forall @t17 @t94))
% 0.45/0.63  (define @t113 () (and (not (= @t68 @t83)) @t103 (not (= @t100 @t82)) @t101))
% 0.45/0.63  (define @t114 () (= tptp.sz00 tptp.xn))
% 0.45/0.63  (define @t115 () (or @t86 @t110 @t109 @t114 @t108 @t107 @t113))
% 0.45/0.63  (define @t116 () (and (not @t62) @t59))
% 0.45/0.63  (define @t117 () (or @t93 @t44 @t62 @t116))
% 0.45/0.63  (define @t118 () (or @t44 @t62 @t116))
% 0.45/0.63  (define @t119 () (= tptp.xm tptp.sz10))
% 0.45/0.63  (define @t120 () (not @t119))
% 0.45/0.63  (define @t121 () (and @t120 @t106))
% 0.45/0.63  (define @t122 () (or @t109 @t74 @t119 @t121))
% 0.45/0.63  (define @t123 () (forall @t3 @t117))
% 0.45/0.63  (define @t124 () (@list tptp.xm))
% 0.45/0.63  (define @t125 () (not @t108))
% 0.45/0.63  (define @t126 () (and @t125 @t106))
% 0.45/0.63  (define @t127 () (= tptp.sz00 tptp.xm))
% 0.45/0.63  (define @t128 () (or @t109 @t127 @t108 @t126))
% 0.45/0.63  (define @t129 () (and (= @t1 @t19) @t18))
% 0.45/0.63  (define @t130 () (tptp.sdtpldt0 tptp.xn tptp.sz00))
% 0.45/0.63  (define @t131 () (= tptp.xn @t130))
% 0.45/0.63  (define @t132 () (and @t131 (= tptp.xn (tptp.sdtpldt0 tptp.sz00 tptp.xn))))
% 0.45/0.63  (define @t133 () (or @t86 @t132))
% 0.45/0.63  (define @t134 () (not (= @t130 @t68)))
% 0.45/0.63  (define @t135 () (not @t4))
% 0.45/0.63  (define @t136 () (or @t135 @t134))
% 0.45/0.63  (define @t137 () (forall @t3 (or @t93 (not @t70))))
% 0.45/0.63  (define @t138 () (= @t68 @t130))
% 0.45/0.63  (define @t139 () (not @t138))
% 0.45/0.63  (define @t140 () (or @t135 @t139))
% 0.45/0.63  (define @t141 () (@list @t137))
% 0.45/0.63  (define @t142 () (and @t131 @t84 @t108))
% 0.45/0.63  (define @t143 () (not @t84))
% 0.45/0.63  (define @t144 () (not @t131))
% 0.45/0.63  (define @t145 () (and (= tptp.sz00 @t32) @t31))
% 0.45/0.63  (define @t146 () (= tptp.sz00 (tptp.sdtasdt0 tptp.xm tptp.sz00)))
% 0.45/0.63  (define @t147 () (and @t146 (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 tptp.xm))))
% 0.45/0.63  (define @t148 () (or @t109 @t147))
% 0.45/0.63  (define @t149 () (= @t68 @t100))
% 0.45/0.63  (define @t150 () (or @t86 @t109 @t149))
% 0.45/0.63  (define @t151 () (tptp.sdtpldt0 tptp.xn tptp.xn))
% 0.45/0.63  (define @t152 () (not (= @t151 @t68)))
% 0.45/0.63  (define @t153 () (or @t86 @t152))
% 0.45/0.63  (define @t154 () (= @t68 @t151))
% 0.45/0.63  (define @t155 () (not @t154))
% 0.45/0.63  (define @t156 () (or @t86 @t155))
% 0.45/0.63  (define @t157 () (and @t131 @t149 @t146 @t114))
% 0.45/0.63  (define @t158 () (not @t114))
% 0.45/0.63  (define @t159 () (not @t103))
% 0.45/0.63  (define @t160 () (not @t69))
% 0.45/0.63  (define @t161 () (and @t103 @t84 @t160))
% 0.45/0.63  (assume @p1 (forall @t3 (=> @t2 true)))
% 0.45/0.63  (assume @p2 @t4)
% 0.45/0.63  (assume @p3 (and @t5 (not (= tptp.sz10 tptp.sz00))))
% 0.45/0.63  (assume @p4 (forall @t10 (=> @t9 (tptp.aNaturalNumber0 @t7))))
% 0.45/0.63  (assume @p5 (forall @t10 (=> @t9 (tptp.aNaturalNumber0 @t11))))
% 0.45/0.63  (assume @p6 (forall @t10 (=> @t9 (= @t7 @t12))))
% 0.45/0.63  (assume @p7 (forall @t17 (=> @t16 (= (tptp.sdtpldt0 @t7 @t13) (tptp.sdtpldt0 @t1 @t14)))))
% 0.45/0.63  (assume @p8 @t22)
% 0.45/0.63  (assume @p9 @t25)
% 0.45/0.63  (assume @p10 (forall @t17 (=> @t16 (= (tptp.sdtasdt0 @t11 @t13) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t6 @t13))))))
% 0.45/0.63  (assume @p11 @t30)
% 0.45/0.63  (assume @p12 @t35)
% 0.45/0.63  (assume @p13 (forall @t17 (=> @t16 (and (= (tptp.sdtasdt0 @t1 @t14) (tptp.sdtpldt0 @t11 @t37)) (= (tptp.sdtasdt0 @t14 @t1) (tptp.sdtpldt0 @t23 @t36))))))
% 0.45/0.63  (assume @p14 (forall @t17 (=> @t16 (=> (or (= @t7 @t40) (= @t12 @t39)) @t38))))
% 0.45/0.63  (assume @p15 (forall @t3 (=> @t2 (=> @t45 (forall (@list @t6 @t13) (=> @t43 (=> (or @t42 @t41) @t38)))))))
% 0.45/0.63  (assume @p16 (forall @t10 (=> @t9 (=> (= @t7 tptp.sz00) (and @t44 @t46)))))
% 0.45/0.63  (assume @p17 (forall @t10 (=> @t9 (=> (= @t11 tptp.sz00) (or @t44 @t46)))))
% 0.45/0.63  (assume @p18 (forall @t10 (=> @t9 (= @t49 (exists @t48 @t47)))))
% 0.45/0.63  (assume @p19 (forall @t10 (=> @t9 (=> @t49 (forall @t48 (= (= @t13 (tptp.sdtmndt0 @t6 @t1)) @t47))))))
% 0.45/0.63  (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1))))
% 0.45/0.63  (assume @p21 (forall @t10 (=> @t9 (=> (and @t49 @t51) @t50))))
% 0.45/0.63  (assume @p22 (forall @t17 (=> @t16 (=> (and @t49 @t52) (tptp.sdtlseqdt0 @t1 @t13)))))
% 0.45/0.63  (assume @p23 (forall @t10 (=> @t9 (or @t49 (and (not (= @t6 @t1)) @t51)))))
% 0.45/0.63  (assume @p24 (forall @t10 (=> @t9 (=> (and (not @t50) @t49) (forall @t48 (=> @t15 (and (not (= @t39 @t53)) (tptp.sdtlseqdt0 @t39 @t53) (not (= @t40 @t14)) (tptp.sdtlseqdt0 @t40 @t14))))))))
% 0.45/0.63  (assume @p25 @t58)
% 0.45/0.63  (assume @p26 @t65)
% 0.45/0.63  (assume @p27 (and @t67 @t66))
% 0.45/0.63  (assume @p28 @t77)
% 0.45/0.63  (assume @p29 true)
% 0.45/0.63  (step @p30 :rule refl :args (@t69))
% 0.45/0.63  (step @p31 :rule bool-and-de-morgan :args (@t2 @t70 true))
% 0.45/0.63  (step @p32 :rule cong :premises (@p31) :args (@t78))
% 0.45/0.63  (step @p33 :rule cong :premises (@p32) :args (@t79))
% 0.45/0.63  (step @p34 :rule exists-elim :args ((= @t72 @t79)))
% 0.45/0.63  (step @p35 :rule trans :premises (@p34 @p33))
% 0.45/0.63  (step @p36 :rule nary_cong :premises (@p35 @p30) :args (@t73))
% 0.45/0.63  (step @p37 :rule eq-symm :args (tptp.xm tptp.sz00))
% 0.45/0.63  (step @p38 :rule cong :premises (@p37) :args (@t75))
% 0.45/0.63  (step @p39 :rule cong :premises (@p38 @p36) :args (@t76))
% 0.45/0.63  (step @p40 :rule cong :premises (@p39) :args (@t77))
% 0.45/0.63  (step @p41 :rule eq_resolve :premises (@p28 @p40))
% 0.45/0.63  (step @p42 :rule not_implies_elim2 :premises (@p41))
% 0.45/0.63  (step @p43 :rule not_or_elim :premises (@p42) :args (1))
% 0.45/0.63  (step @p44 :rule bool-impl-elim :args (@t2 @t80))
% 0.45/0.63  (step @p45 :rule cong :premises (@p44) :args ((forall @t3 (=> @t2 @t80))))
% 0.45/0.63  (step @p46 :rule refl :args (@t26))
% 0.45/0.63  (step @p47 :rule eq-symm :args (@t27 @t1))
% 0.45/0.63  (step @p48 :rule nary_cong :premises (@p47 @p46) :args (@t28))
% 0.45/0.63  (step @p49 :rule refl :args (@t2))
% 0.45/0.63  (step @p50 :rule cong :premises (@p49 @p48) :args (@t29))
% 0.45/0.63  (step @p51 :rule cong :premises (@p50) :args (@t30))
% 0.45/0.63  (step @p52 :rule trans :premises (@p51 @p45))
% 0.45/0.63  (step @p53 :rule eq_resolve :premises (@p11 @p52))
% 0.45/0.63  (step @p54 :rule instantiate :premises (@p53) :args (@t81))
% 0.45/0.63  (step @p55 :rule and_elim :premises (@p27) :args (1))
% 0.45/0.63  (step @p56 :rule cnf_or_pos :args (@t87))
% 0.45/0.63  (step @p57 :rule reordering :premises (@p56) :args ((or @t86 @t85 (not @t87))))
% 0.45/0.63  (step @p58 :rule chain_m_resolution :premises (@p57 @p55 @p54) :args (@t85 @t88 (@list @t66 @t87)))
% 0.45/0.63  (step @p59 :rule cnf_and_pos :args (@t85 0))
% 0.45/0.63  (step @p60 :rule reordering :premises (@p59) :args ((or @t84 (not @t85))))
% 0.45/0.63  (step @p61 :rule chain_m_resolution :premises (@p60 @p58) :args (@t84 @t89 (@list @t85)))
% 0.45/0.63  (step @p62 :rule aci_norm :args ((= (or @t96 @t95) @t94)))
% 0.45/0.63  (step @p63 :rule aci_norm :args ((= (or (or @t44 @t38 @t90) @t54) @t95)))
% 0.45/0.63  (step @p64 :rule refl :args (@t54))
% 0.45/0.63  (step @p65 :rule refl :args (@t90))
% 0.45/0.63  (step @p66 :rule bool-double-not-elim :args (@t38))
% 0.45/0.63  (step @p67 :rule bool-double-not-elim :args (@t44))
% 0.45/0.63  (step @p68 :rule nary_cong :premises (@p67 @p66 @p65) :args (@t99))
% 0.45/0.63  (step @p69 :rule aci_norm :args ((= (or @t98 (or @t97 @t90)) @t99)))
% 0.45/0.63  (step @p70 :rule trans :premises (@p69 @p68))
% 0.45/0.63  (step @p71 :rule bool-and-de-morgan :args (@t55 @t52 true))
% 0.45/0.63  (step @p72 :rule refl :args (@t98))
% 0.45/0.64  (step @p73 :rule nary_cong :premises (@p72 @p71) :args ((or @t98 (not (and @t55 @t52)))))
% 0.45/0.64  (step @p74 :rule bool-and-de-morgan :args (@t45 @t55 (and @t52)))
% 0.45/0.64  (step @p75 :rule trans :premises (@p74 @p73))
% 0.45/0.64  (step @p76 :rule trans :premises (@p75 @p70))
% 0.45/0.64  (step @p77 :rule nary_cong :premises (@p76 @p64) :args ((or (not @t56) @t54)))
% 0.45/0.64  (step @p78 :rule trans :premises (@p77 @p63))
% 0.45/0.64  (step @p79 :rule bool-impl-elim :args (@t56 @t54))
% 0.45/0.64  (step @p80 :rule trans :premises (@p79 @p78))
% 0.45/0.64  (step @p81 :rule aci_norm :args ((= (or @t93 (or @t92 @t91)) @t96)))
% 0.45/0.64  (step @p82 :rule bool-and-de-morgan :args (@t8 @t15 true))
% 0.45/0.64  (step @p83 :rule refl :args (@t93))
% 0.45/0.64  (step @p84 :rule nary_cong :premises (@p83 @p82) :args ((or @t93 (not @t43))))
% 0.45/0.64  (step @p85 :rule bool-and-de-morgan :args (@t2 @t8 (and @t15)))
% 0.45/0.64  (step @p86 :rule trans :premises (@p85 @p84))
% 0.45/0.64  (step @p87 :rule trans :premises (@p86 @p81))
% 0.45/0.64  (step @p88 :rule nary_cong :premises (@p87 @p80) :args ((or (not @t16) @t57)))
% 0.45/0.64  (step @p89 :rule trans :premises (@p88 @p62))
% 0.45/0.64  (step @p90 :rule bool-impl-elim :args (@t16 @t57))
% 0.45/0.64  (step @p91 :rule trans :premises (@p90 @p89))
% 0.45/0.64  (step @p92 :rule cong :premises (@p91) :args (@t58))
% 0.45/0.64  (step @p93 :rule eq_resolve :premises (@p25 @p92))
% 0.45/0.64  (step @p94 :rule refl :args (@t101))
% 0.45/0.64  (step @p95 :rule eq-symm :args (@t82 @t100))
% 0.45/0.64  (step @p96 :rule cong :premises (@p95) :args (@t102))
% 0.45/0.64  (step @p97 :rule refl :args (@t103))
% 0.45/0.64  (step @p98 :rule eq-symm :args (@t83 @t68))
% 0.45/0.64  (step @p99 :rule cong :premises (@p98) :args (@t104))
% 0.45/0.64  (step @p100 :rule nary_cong :premises (@p99 @p97 @p96 @p94) :args (@t105))
% 0.45/0.64  (step @p101 :rule refl :args (@t107))
% 0.45/0.64  (step @p102 :rule refl :args (@t108))
% 0.45/0.64  (step @p103 :rule eq-symm :args (tptp.xn tptp.sz00))
% 0.45/0.64  (step @p104 :rule refl :args (@t109))
% 0.45/0.64  (step @p105 :rule refl :args (@t110))
% 0.45/0.64  (step @p106 :rule refl :args (@t86))
% 0.45/0.64  (step @p107 :rule nary_cong :premises (@p106 @p105 @p104 @p103 @p102 @p101 @p100) :args (@t111))
% 0.45/0.64  (step @p108 :rule refl :args (@t112))
% 0.45/0.64  (step @p109 :rule cong :premises (@p108 @p107) :args ((=> @t112 @t111)))
% 0.45/0.64  (assume-push @p327 @t112)
% 0.45/0.64  (step @p111 :rule instantiate :premises (@p93) :args ((@list tptp.xn tptp.sz10 tptp.xm)))
% 0.45/0.64  (step-pop @p328 :rule scope :premises (@p111))
% 0.45/0.64  (step @p112 :rule process_scope :premises (@p328) :args (@t111))
% 0.45/0.64  (step @p114 :rule eq_resolve :premises (@p112 @p109))
% 0.45/0.64  (step @p115 :rule implies_elim :premises (@p114))
% 0.45/0.64  (step @p116 :rule chain_m_resolution :premises (@p115 @p93) :args (@t115 @t89 (@list @t112)))
% 0.45/0.64  (step @p117 :rule aci_norm :args ((= (or @t93 @t118) @t117)))
% 0.45/0.64  (step @p118 :rule bool-impl-elim :args (@t2 @t118))
% 0.45/0.64  (step @p119 :rule trans :premises (@p118 @p117))
% 0.45/0.64  (step @p120 :rule cong :premises (@p119) :args ((forall @t3 (=> @t2 @t118))))
% 0.45/0.64  (step @p121 :rule refl :args (@t59))
% 0.45/0.64  (step @p122 :rule eq-symm :args (tptp.sz10 @t1))
% 0.45/0.64  (step @p123 :rule cong :premises (@p122) :args (@t60))
% 0.45/0.64  (step @p124 :rule nary_cong :premises (@p123 @p121) :args (@t61))
% 0.45/0.64  (step @p125 :rule refl :args (@t62))
% 0.45/0.64  (step @p126 :rule refl :args (@t44))
% 0.45/0.64  (step @p127 :rule nary_cong :premises (@p126 @p125 @p124) :args (@t63))
% 0.45/0.64  (step @p128 :rule cong :premises (@p49 @p127) :args (@t64))
% 0.45/0.64  (step @p129 :rule cong :premises (@p128) :args (@t65))
% 0.45/0.64  (step @p130 :rule trans :premises (@p129 @p120))
% 0.45/0.64  (step @p131 :rule eq_resolve :premises (@p26 @p130))
% 0.45/0.64  (step @p132 :rule refl :args (@t106))
% 0.45/0.64  (step @p133 :rule eq-symm :args (tptp.xm tptp.sz10))
% 0.45/0.64  (step @p134 :rule cong :premises (@p133) :args (@t120))
% 0.45/0.64  (step @p135 :rule nary_cong :premises (@p134 @p132) :args (@t121))
% 0.45/0.64  (step @p136 :rule nary_cong :premises (@p104 @p37 @p133 @p135) :args (@t122))
% 0.45/0.64  (step @p137 :rule refl :args (@t123))
% 0.45/0.64  (step @p138 :rule cong :premises (@p137 @p136) :args ((=> @t123 @t122)))
% 0.45/0.64  (assume-push @p329 @t123)
% 0.45/0.64  (step @p140 :rule instantiate :premises (@p131) :args (@t124))
% 0.45/0.64  (step-pop @p330 :rule scope :premises (@p140))
% 0.45/0.64  (step @p141 :rule process_scope :premises (@p330) :args (@t122))
% 0.45/0.64  (step @p143 :rule eq_resolve :premises (@p141 @p138))
% 0.45/0.64  (step @p144 :rule implies_elim :premises (@p143))
% 0.45/0.64  (step @p145 :rule chain_m_resolution :premises (@p144 @p131) :args (@t128 @t89 (@list @t123)))
% 0.45/0.64  (step @p146 :rule bool-impl-elim :args (@t2 @t129))
% 0.45/0.64  (step @p147 :rule cong :premises (@p146) :args ((forall @t3 (=> @t2 @t129))))
% 0.45/0.64  (step @p148 :rule refl :args (@t18))
% 0.45/0.64  (step @p149 :rule eq-symm :args (@t19 @t1))
% 0.45/0.64  (step @p150 :rule nary_cong :premises (@p149 @p148) :args (@t20))
% 0.45/0.64  (step @p151 :rule cong :premises (@p49 @p150) :args (@t21))
% 0.45/0.64  (step @p152 :rule cong :premises (@p151) :args (@t22))
% 0.45/0.64  (step @p153 :rule trans :premises (@p152 @p147))
% 0.45/0.64  (step @p154 :rule eq_resolve :premises (@p8 @p153))
% 0.45/0.64  (step @p155 :rule instantiate :premises (@p154) :args (@t81))
% 0.45/0.64  (step @p156 :rule cnf_or_pos :args (@t133))
% 0.45/0.64  (step @p157 :rule reordering :premises (@p156) :args ((or @t86 @t132 (not @t133))))
% 0.45/0.64  (step @p158 :rule chain_m_resolution :premises (@p157 @p55 @p155) :args (@t132 @t88 (@list @t66 @t133)))
% 0.45/0.64  (step @p159 :rule cnf_and_pos :args (@t132 0))
% 0.45/0.64  (step @p160 :rule reordering :premises (@p159) :args ((or @t131 (not @t132))))
% 0.45/0.64  (step @p161 :rule chain_m_resolution :premises (@p160 @p158) :args (@t131 @t89 (@list @t132)))
% 0.45/0.64  (step @p162 :rule not_or_elim :premises (@p42) :args (0))
% 0.45/0.64  (step @p163 :rule not_not_elim :premises (@p162))
% 0.45/0.64  (step @p164 :rule eq-symm :args (@t130 @t68))
% 0.45/0.64  (step @p165 :rule cong :premises (@p164) :args (@t134))
% 0.45/0.64  (step @p166 :rule refl :args (@t135))
% 0.45/0.64  (step @p167 :rule nary_cong :premises (@p166 @p165) :args (@t136))
% 0.45/0.64  (step @p168 :rule refl :args (@t137))
% 0.45/0.64  (step @p169 :rule cong :premises (@p168 @p167) :args ((=> @t137 @t136)))
% 0.45/0.64  (assume-push @p331 @t137)
% 0.45/0.64  (step @p171 :rule instantiate :premises (@p163) :args ((@list tptp.sz00)))
% 0.45/0.64  (step-pop @p332 :rule scope :premises (@p171))
% 0.45/0.64  (step @p172 :rule process_scope :premises (@p332) :args (@t136))
% 0.45/0.64  (step @p174 :rule eq_resolve :premises (@p172 @p169))
% 0.45/0.64  (step @p175 :rule implies_elim :premises (@p174))
% 0.45/0.64  (step @p176 :rule chain_m_resolution :premises (@p175 @p163) :args (@t140 @t89 @t141))
% 0.45/0.64  (step @p177 :rule cnf_or_pos :args (@t140))
% 0.45/0.64  (step @p178 :rule reordering :premises (@p177) :args ((or @t135 @t139 (not @t140))))
% 0.45/0.64  (step @p179 :rule chain_m_resolution :premises (@p178 @p2 @p176) :args (@t139 @t88 (@list @t4 @t140)))
% 0.45/0.64  (assume-push @p333 @t131)
% 0.45/0.64  (assume-push @p334 @t84)
% 0.45/0.64  (assume-push @p335 @t108)
% 0.45/0.64  (assume-push @p336 @t131)
% 0.45/0.64  (assume-push @p337 @t84)
% 0.45/0.64  (assume-push @p338 @t108)
% 0.45/0.64  (step @p186 :rule symm :premises (@p61))
% 0.45/0.64  (step @p187 :rule symm :premises (@p335))
% 0.45/0.64  (step @p188 :rule refl :args (tptp.xn))
% 0.45/0.64  (step @p189 :rule cong :premises (@p188 @p187) :args (@t68))
% 0.45/0.64  (step @p190 :rule trans :premises (@p189 @p186 @p161))
% 0.45/0.64  (step-pop @p339 :rule scope :premises (@p190))
% 0.45/0.64  (step-pop @p340 :rule scope :premises (@p339))
% 0.45/0.64  (step-pop @p341 :rule scope :premises (@p340))
% 0.45/0.64  (step @p191 :rule process_scope :premises (@p341) :args (@t138))
% 0.45/0.64  (step @p195 :rule and_intro :premises (@p161 @p61 @p335))
% 0.45/0.64  (step @p196 :rule modus_ponens :premises (@p195 @p191))
% 0.45/0.64  (step-pop @p342 :rule scope :premises (@p196))
% 0.45/0.64  (step-pop @p343 :rule scope :premises (@p342))
% 0.45/0.64  (step-pop @p344 :rule scope :premises (@p343))
% 0.45/0.64  (step @p197 :rule process_scope :premises (@p344) :args (@t138))
% 0.45/0.64  (step @p201 :rule implies_elim :premises (@p197))
% 0.45/0.64  (step @p202 :rule cnf_and_neg :args (@t142))
% 0.45/0.64  (step @p203 :rule resolution :premises (@p202 @p201) :args (true @t142))
% 0.45/0.64  (step @p204 :rule reordering :premises (@p203) :args ((or @t125 @t138 @t144 @t143)))
% 0.45/0.64  (step @p205 :rule chain_m_resolution :premises (@p204 @p179 @p161 @p61) :args (@t125 (@list true false false) (@list @t138 @t131 @t84)))
% 0.45/0.64  (step @p206 :rule and_elim :premises (@p27) :args (0))
% 0.45/0.64  (step @p207 :rule not_implies_elim1 :premises (@p41))
% 0.45/0.64  (step @p208 :rule cnf_or_pos :args (@t128))
% 0.45/0.64  (step @p209 :rule reordering :premises (@p208) :args ((or @t127 @t109 @t108 @t126 (not @t128))))
% 0.45/0.64  (step @p210 :rule chain_m_resolution :premises (@p209 @p207 @p206 @p205 @p145) :args (@t126 (@list true false true false) (@list @t127 @t67 @t108 @t128)))
% 0.45/0.64  (step @p211 :rule cnf_and_pos :args (@t126 1))
% 0.45/0.64  (step @p212 :rule reordering :premises (@p211) :args ((or @t106 (not @t126))))
% 0.45/0.64  (step @p213 :rule chain_m_resolution :premises (@p212 @p210) :args (@t106 @t89 (@list @t126)))
% 0.45/0.64  (step @p214 :rule bool-impl-elim :args (@t2 @t145))
% 0.45/0.64  (step @p215 :rule cong :premises (@p214) :args ((forall @t3 (=> @t2 @t145))))
% 0.45/0.64  (step @p216 :rule refl :args (@t31))
% 0.45/0.64  (step @p217 :rule eq-symm :args (@t32 tptp.sz00))
% 0.45/0.64  (step @p218 :rule nary_cong :premises (@p217 @p216) :args (@t33))
% 0.45/0.64  (step @p219 :rule cong :premises (@p49 @p218) :args (@t34))
% 0.45/0.64  (step @p220 :rule cong :premises (@p219) :args (@t35))
% 0.45/0.64  (step @p221 :rule trans :premises (@p220 @p215))
% 0.45/0.64  (step @p222 :rule eq_resolve :premises (@p12 @p221))
% 0.45/0.64  (step @p223 :rule instantiate :premises (@p222) :args (@t124))
% 0.45/0.64  (step @p224 :rule cnf_or_pos :args (@t148))
% 0.45/0.64  (step @p225 :rule reordering :premises (@p224) :args ((or @t109 @t147 (not @t148))))
% 0.45/0.64  (step @p226 :rule chain_m_resolution :premises (@p225 @p206 @p223) :args (@t147 @t88 (@list @t67 @t148)))
% 0.45/0.64  (step @p227 :rule cnf_and_pos :args (@t147 0))
% 0.45/0.64  (step @p228 :rule reordering :premises (@p227) :args ((or @t146 (not @t147))))
% 0.45/0.64  (step @p229 :rule chain_m_resolution :premises (@p228 @p226) :args (@t146 @t89 (@list @t147)))
% 0.45/0.64  (step @p230 :rule aci_norm :args ((= (or (or @t93 @t92) @t24) (or @t93 @t92 @t24))))
% 0.45/0.64  (step @p231 :rule refl :args (@t24))
% 0.45/0.64  (step @p232 :rule bool-and-de-morgan :args (@t2 @t8 true))
% 0.45/0.64  (step @p233 :rule nary_cong :premises (@p232 @p231) :args ((or (not @t9) @t24)))
% 0.45/0.64  (step @p234 :rule trans :premises (@p233 @p230))
% 0.45/0.64  (step @p235 :rule bool-impl-elim :args (@t9 @t24))
% 0.45/0.64  (step @p236 :rule trans :premises (@p235 @p234))
% 0.45/0.64  (step @p237 :rule cong :premises (@p236) :args (@t25))
% 0.45/0.64  (step @p238 :rule eq_resolve :premises (@p9 @p237))
% 0.45/0.64  (step @p239 :rule instantiate :premises (@p238) :args ((@list tptp.xn tptp.xm)))
% 0.45/0.64  (step @p240 :rule cnf_or_pos :args (@t150))
% 0.45/0.64  (step @p241 :rule reordering :premises (@p240) :args ((or @t109 @t86 @t149 (not @t150))))
% 0.45/0.64  (step @p242 :rule chain_m_resolution :premises (@p241 @p206 @p55 @p239) :args (@t149 (@list false false false) (@list @t67 @t66 @t150)))
% 0.45/0.64  (step @p243 :rule eq-symm :args (@t151 @t68))
% 0.45/0.64  (step @p244 :rule cong :premises (@p243) :args (@t152))
% 0.45/0.64  (step @p245 :rule nary_cong :premises (@p106 @p244) :args (@t153))
% 0.45/0.64  (step @p246 :rule cong :premises (@p168 @p245) :args ((=> @t137 @t153)))
% 0.45/0.64  (assume-push @p345 @t137)
% 0.45/0.64  (step @p248 :rule instantiate :premises (@p163) :args (@t81))
% 0.45/0.64  (step-pop @p346 :rule scope :premises (@p248))
% 0.45/0.64  (step @p249 :rule process_scope :premises (@p346) :args (@t153))
% 0.45/0.64  (step @p251 :rule eq_resolve :premises (@p249 @p246))
% 0.45/0.64  (step @p252 :rule implies_elim :premises (@p251))
% 0.45/0.64  (step @p253 :rule chain_m_resolution :premises (@p252 @p163) :args (@t156 @t89 @t141))
% 0.45/0.64  (step @p254 :rule cnf_or_pos :args (@t156))
% 0.45/0.64  (step @p255 :rule reordering :premises (@p254) :args ((or @t86 @t155 (not @t156))))
% 0.45/0.64  (step @p256 :rule chain_m_resolution :premises (@p255 @p55 @p253) :args (@t155 @t88 (@list @t66 @t156)))
% 0.45/0.64  (assume-push @p347 @t131)
% 0.45/0.64  (assume-push @p348 @t149)
% 0.45/0.64  (assume-push @p349 @t146)
% 0.45/0.64  (assume-push @p350 @t114)
% 0.45/0.64  (assume-push @p351 @t114)
% 0.45/0.64  (assume-push @p352 @t131)
% 0.45/0.64  (assume-push @p353 @t146)
% 0.45/0.64  (assume-push @p354 @t149)
% 0.45/0.64  (step @p188 :rule refl :args (tptp.xn))
% 0.45/0.64  (step @p265 :rule cong :premises (@p188 @p350) :args (@t130))
% 0.45/0.64  (step @p266 :rule symm :premises (@p229))
% 0.45/0.64  (step @p267 :rule symm :premises (@p350))
% 0.45/0.64  (step @p268 :rule refl :args (tptp.xm))
% 0.45/0.64  (step @p269 :rule cong :premises (@p268 @p267) :args (@t100))
% 0.45/0.64  (step @p270 :rule trans :premises (@p242 @p269 @p266 @p350 @p161 @p265))
% 0.45/0.64  (step-pop @p355 :rule scope :premises (@p270))
% 0.45/0.64  (step-pop @p356 :rule scope :premises (@p355))
% 0.45/0.64  (step-pop @p357 :rule scope :premises (@p356))
% 0.45/0.64  (step-pop @p358 :rule scope :premises (@p357))
% 0.45/0.64  (step @p271 :rule process_scope :premises (@p358) :args (@t154))
% 0.45/0.64  (step @p276 :rule and_intro :premises (@p350 @p161 @p229 @p242))
% 0.45/0.64  (step @p277 :rule modus_ponens :premises (@p276 @p271))
% 0.45/0.64  (step-pop @p359 :rule scope :premises (@p277))
% 0.45/0.64  (step-pop @p360 :rule scope :premises (@p359))
% 0.45/0.64  (step-pop @p361 :rule scope :premises (@p360))
% 0.45/0.64  (step-pop @p362 :rule scope :premises (@p361))
% 0.45/0.64  (step @p278 :rule process_scope :premises (@p362) :args (@t154))
% 0.45/0.64  (step @p283 :rule implies_elim :premises (@p278))
% 0.45/0.64  (step @p284 :rule cnf_and_neg :args (@t157))
% 0.45/0.64  (step @p285 :rule resolution :premises (@p284 @p283) :args (true @t157))
% 0.45/0.64  (step @p286 :rule reordering :premises (@p285) :args ((or @t154 @t144 (not @t149) (not @t146) @t158)))
% 0.45/0.64  (step @p287 :rule chain_m_resolution :premises (@p286 @p256 @p161 @p242 @p229) :args (@t158 (@list true false false false) (@list @t154 @t131 @t149 @t146)))
% 0.45/0.64  (step @p288 :rule and_elim :premises (@p3) :args (0))
% 0.45/0.64  (step @p289 :rule cnf_or_pos :args (@t115))
% 0.45/0.64  (step @p290 :rule reordering :premises (@p289) :args ((or @t110 @t109 @t86 @t114 @t108 @t107 @t113 (not @t115))))
% 0.45/0.64  (step @p291 :rule chain_m_resolution :premises (@p290 @p288 @p206 @p55 @p287 @p205 @p213 @p116) :args (@t113 (@list false false false true true false false) (@list @t5 @t67 @t66 @t114 @t108 @t106 @t115)))
% 0.45/0.64  (step @p292 :rule cnf_and_pos :args (@t113 1))
% 0.45/0.64  (step @p293 :rule reordering :premises (@p292) :args ((or @t103 (not @t113))))
% 0.45/0.64  (step @p294 :rule chain_m_resolution :premises (@p293 @p291) :args (@t103 @t89 (@list @t113)))
% 0.45/0.64  (step @p295 :rule refl :args (@t159))
% 0.45/0.64  (step @p296 :rule refl :args (@t143))
% 0.45/0.64  (step @p297 :rule bool-double-not-elim :args (@t69))
% 0.45/0.64  (step @p298 :rule nary_cong :premises (@p297 @p296 @p295) :args ((or (not @t160) @t143 @t159)))
% 0.45/0.64  (assume-push @p363 @t103)
% 0.45/0.64  (assume-push @p364 @t84)
% 0.45/0.64  (assume-push @p365 @t160)
% 0.45/0.64  (step @p302 :rule evaluate :args ((= false true)))
% 0.45/0.64  (step @p303 :rule true_intro :premises (@p363))
% 0.45/0.64  (step @p304 :rule refl :args (@t68))
% 0.45/0.64  (step @p305 :rule cong :premises (@p61 @p304) :args (@t69))
% 0.45/0.64  (step @p306 :rule false_intro :premises (@p43))
% 0.45/0.64  (step @p307 :rule symm :premises (@p306))
% 0.45/0.64  (step @p308 :rule trans :premises (@p307 @p305 @p303))
% 0.45/0.64  (step @p309 false :rule eq_resolve :premises (@p308 @p302))
% 0.45/0.64  (step-pop @p366 :rule scope :premises (@p309))
% 0.45/0.64  (step-pop @p367 :rule scope :premises (@p366))
% 0.45/0.64  (step-pop @p368 :rule scope :premises (@p367))
% 0.45/0.64  (step @p310 :rule process_scope :premises (@p368) :args (false))
% 0.45/0.64  (assume-push @p369 @t160)
% 0.45/0.64  (assume-push @p370 @t84)
% 0.45/0.64  (assume-push @p371 @t103)
% 0.45/0.64  (step @p317 :rule and_intro :premises (@p371 @p61 @p43))
% 0.45/0.64  (step-pop @p372 :rule scope :premises (@p317))
% 0.45/0.64  (step-pop @p373 :rule scope :premises (@p372))
% 0.45/0.64  (step-pop @p374 :rule scope :premises (@p373))
% 0.45/0.64  (step @p318 :rule process_scope :premises (@p374) :args (@t161))
% 0.45/0.64  (step @p322 :rule implies_elim :premises (@p318))
% 0.45/0.64  (step @p323 :rule resolution :premises (@p322 @p310) :args (true @t161))
% 0.45/0.64  (step @p324 :rule not_and :premises (@p323))
% 0.45/0.64  (step @p325 :rule eq_resolve :premises (@p324 @p298))
% 0.45/0.64  (step @p326 false :rule chain_m_resolution :premises (@p325 @p294 @p61 @p43) :args (false (@list false false true) (@list @t103 @t84 @t69)))
% 0.45/0.64  )
% 0.45/0.64  % SZS output end Proof
% 0.45/0.64  % cvc5 exiting
%------------------------------------------------------------------------------