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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : NUM477+1 : 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 : n006.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 08:39:33 AM UTC 2026

% Result   : Theorem 0.45s 0.66s
% Output   : Proof 0.45s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM477+1 : TPTP v9.2.1. Released v4.0.0.
% 0.11/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n006.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Tue Jun  2 11:22:49 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.26/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.45/0.66  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.45/0.66  % SZS status Theorem
% 0.45/0.66  % SZS output start Proof
% 0.45/0.66  (
% 0.45/0.66  (declare-sort $$unsorted 0)
% 0.45/0.66  (declare-const tptp.xm $$unsorted)
% 0.45/0.66  (declare-const tptp.xn $$unsorted)
% 0.45/0.66  (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool))
% 0.45/0.66  (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted))
% 0.45/0.66  (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted))
% 0.45/0.66  (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted))
% 0.45/0.66  (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool))
% 0.45/0.66  (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted))
% 0.45/0.66  (declare-const tptp.sz10 $$unsorted)
% 0.45/0.66  (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool))
% 0.45/0.66  (declare-const tptp.sz00 $$unsorted)
% 0.45/0.66  (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool))
% 0.45/0.66  (define @t1 () (@var "W0" $$unsorted))
% 0.45/0.66  (define @t2 () (tptp.aNaturalNumber0 @t1))
% 0.45/0.66  (define @t3 () (@list @t1))
% 0.45/0.66  (define @t4 () (tptp.aNaturalNumber0 tptp.sz00))
% 0.45/0.66  (define @t5 () (@var "W1" $$unsorted))
% 0.45/0.66  (define @t6 () (tptp.sdtpldt0 @t1 @t5))
% 0.45/0.66  (define @t7 () (tptp.aNaturalNumber0 @t5))
% 0.45/0.66  (define @t8 () (and @t2 @t7))
% 0.45/0.66  (define @t9 () (@list @t1 @t5))
% 0.45/0.66  (define @t10 () (tptp.sdtasdt0 @t1 @t5))
% 0.45/0.66  (define @t11 () (tptp.sdtpldt0 @t5 @t1))
% 0.45/0.66  (define @t12 () (@var "W2" $$unsorted))
% 0.45/0.66  (define @t13 () (tptp.sdtpldt0 @t5 @t12))
% 0.45/0.66  (define @t14 () (tptp.aNaturalNumber0 @t12))
% 0.45/0.66  (define @t15 () (and @t2 @t7 @t14))
% 0.45/0.66  (define @t16 () (@list @t1 @t5 @t12))
% 0.45/0.66  (define @t17 () (tptp.sdtasdt0 @t5 @t1))
% 0.45/0.66  (define @t18 () (= @t10 @t17))
% 0.45/0.66  (define @t19 () (forall @t9 (=> @t8 @t18)))
% 0.45/0.66  (define @t20 () (= (tptp.sdtasdt0 @t10 @t12) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t5 @t12))))
% 0.45/0.66  (define @t21 () (forall @t16 (=> @t15 @t20)))
% 0.45/0.66  (define @t22 () (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))
% 0.45/0.66  (define @t23 () (tptp.sdtasdt0 @t1 tptp.sz00))
% 0.45/0.66  (define @t24 () (and (= @t23 tptp.sz00) @t22))
% 0.45/0.66  (define @t25 () (=> @t2 @t24))
% 0.45/0.66  (define @t26 () (forall @t3 @t25))
% 0.45/0.66  (define @t27 () (tptp.sdtasdt0 @t12 @t1))
% 0.45/0.66  (define @t28 () (tptp.sdtasdt0 @t1 @t12))
% 0.45/0.66  (define @t29 () (= @t5 @t12))
% 0.45/0.66  (define @t30 () (tptp.sdtpldt0 @t12 @t1))
% 0.45/0.66  (define @t31 () (tptp.sdtpldt0 @t1 @t12))
% 0.45/0.66  (define @t32 () (= @t17 @t27))
% 0.45/0.66  (define @t33 () (= @t10 @t28))
% 0.45/0.66  (define @t34 () (and @t7 @t14))
% 0.45/0.66  (define @t35 () (= @t1 tptp.sz00))
% 0.45/0.66  (define @t36 () (not @t35))
% 0.45/0.66  (define @t37 () (= @t5 tptp.sz00))
% 0.45/0.66  (define @t38 () (or @t35 @t37))
% 0.45/0.66  (define @t39 () (=> (= @t10 tptp.sz00) @t38))
% 0.45/0.66  (define @t40 () (=> @t8 @t39))
% 0.45/0.66  (define @t41 () (forall @t9 @t40))
% 0.45/0.66  (define @t42 () (and @t14 (= @t31 @t5)))
% 0.45/0.66  (define @t43 () (@list @t12))
% 0.45/0.66  (define @t44 () (tptp.sdtlseqdt0 @t1 @t5))
% 0.45/0.66  (define @t45 () (= @t1 @t5))
% 0.45/0.66  (define @t46 () (tptp.sdtlseqdt0 @t5 @t1))
% 0.45/0.66  (define @t47 () (tptp.sdtlseqdt0 @t5 @t12))
% 0.45/0.66  (define @t48 () (tptp.sdtpldt0 @t12 @t5))
% 0.45/0.66  (define @t49 () (and (not @t45) @t44))
% 0.45/0.66  (define @t50 () (tptp.sdtlseqdt0 @t5 @t17))
% 0.45/0.66  (define @t51 () (=> @t36 @t50))
% 0.45/0.66  (define @t52 () (forall @t9 (=> @t8 @t51)))
% 0.45/0.66  (define @t53 () (tptp.iLess0 @t1 @t5))
% 0.45/0.66  (define @t54 () (= @t5 @t28))
% 0.45/0.66  (define @t55 () (and @t14 @t54))
% 0.45/0.66  (define @t56 () (exists @t43 @t55))
% 0.45/0.66  (define @t57 () (tptp.doDivides0 @t1 @t5))
% 0.45/0.66  (define @t58 () (= @t57 @t56))
% 0.45/0.66  (define @t59 () (=> @t8 @t58))
% 0.45/0.66  (define @t60 () (forall @t9 @t59))
% 0.45/0.66  (define @t61 () (tptp.doDivides0 @t1 @t12))
% 0.45/0.66  (define @t62 () (tptp.doDivides0 @t1 @t13))
% 0.45/0.66  (define @t63 () (tptp.aNaturalNumber0 tptp.xn))
% 0.45/0.66  (define @t64 () (tptp.aNaturalNumber0 tptp.xm))
% 0.45/0.66  (define @t65 () (= tptp.xn tptp.sz00))
% 0.45/0.66  (define @t66 () (tptp.doDivides0 tptp.xm tptp.xn))
% 0.45/0.66  (define @t67 () (and (= tptp.sz00 @t23) @t22))
% 0.45/0.66  (define @t68 () (tptp.sdtasdt0 tptp.xm tptp.sz00))
% 0.45/0.66  (define @t69 () (= tptp.sz00 @t68))
% 0.45/0.66  (define @t70 () (and @t69 (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 tptp.xm))))
% 0.45/0.66  (define @t71 () (not @t64))
% 0.45/0.66  (define @t72 () (or @t71 @t70))
% 0.45/0.66  (define @t73 () (@list false false))
% 0.45/0.66  (define @t74 () (@list false))
% 0.45/0.66  (define @t75 () (tptp.sdtasdt0 tptp.xn tptp.sz00))
% 0.45/0.66  (define @t76 () (= tptp.sz00 @t75))
% 0.45/0.66  (define @t77 () (and @t76 (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 tptp.xn))))
% 0.45/0.66  (define @t78 () (not @t63))
% 0.45/0.66  (define @t79 () (or @t78 @t77))
% 0.45/0.66  (define @t80 () (not @t14))
% 0.45/0.66  (define @t81 () (= @t57 (not (forall @t43 (or @t80 (not @t54))))))
% 0.45/0.66  (define @t82 () (not @t7))
% 0.45/0.66  (define @t83 () (not @t2))
% 0.45/0.66  (define @t84 () (or @t83 @t82))
% 0.45/0.66  (define @t85 () (not @t8))
% 0.45/0.66  (define @t86 () (forall @t43 (not @t55)))
% 0.45/0.66  (define @t87 () (not @t86))
% 0.45/0.66  (define @t88 () (@list tptp.xm tptp.xn))
% 0.45/0.66  (define @t89 () (forall @t43 (or @t80 (not (= tptp.xn (tptp.sdtasdt0 tptp.xm @t12))))))
% 0.45/0.66  (define @t90 () (not @t89))
% 0.45/0.66  (define @t91 () (= @t66 @t90))
% 0.45/0.66  (define @t92 () (or @t71 @t78 @t91))
% 0.45/0.66  (define @t93 () (@list false false false))
% 0.45/0.66  (define @t94 () (@quantifiers_skolemize @t89 0))
% 0.45/0.66  (define @t95 () (tptp.sdtasdt0 tptp.xm @t94))
% 0.45/0.66  (define @t96 () (= tptp.xn @t95))
% 0.45/0.66  (define @t97 () (not @t96))
% 0.45/0.66  (define @t98 () (tptp.aNaturalNumber0 @t94))
% 0.45/0.66  (define @t99 () (not @t98))
% 0.45/0.66  (define @t100 () (or @t99 @t97))
% 0.45/0.66  (define @t101 () (@list true))
% 0.45/0.66  (define @t102 () (@list @t100))
% 0.45/0.66  (define @t103 () (or @t83 @t82 @t18))
% 0.45/0.66  (define @t104 () (tptp.sdtasdt0 tptp.xm tptp.xn))
% 0.45/0.66  (define @t105 () (tptp.sdtasdt0 tptp.xn tptp.xm))
% 0.45/0.66  (define @t106 () (or @t71 @t78 (= @t104 @t105)))
% 0.45/0.66  (define @t107 () (forall @t9 @t103))
% 0.45/0.66  (define @t108 () (= @t105 @t104))
% 0.45/0.66  (define @t109 () (or @t71 @t78 @t108))
% 0.45/0.66  (define @t110 () (or @t83 @t82 @t80))
% 0.45/0.66  (define @t111 () (tptp.sdtasdt0 tptp.xn @t95))
% 0.45/0.66  (define @t112 () (= (tptp.sdtasdt0 @t105 @t94) @t111))
% 0.45/0.66  (define @t113 () (or @t78 @t71 @t99 @t112))
% 0.45/0.66  (define @t114 () (@list false false false false))
% 0.45/0.66  (define @t115 () (tptp.sdtasdt0 @t104 tptp.sz00))
% 0.45/0.66  (define @t116 () (= @t115 (tptp.sdtasdt0 tptp.xm @t75)))
% 0.45/0.66  (define @t117 () (not @t4))
% 0.45/0.66  (define @t118 () (or @t71 @t78 @t117 @t116))
% 0.45/0.66  (define @t119 () (= tptp.sz00 @t5))
% 0.45/0.66  (define @t120 () (= tptp.sz00 @t10))
% 0.45/0.66  (define @t121 () (not @t120))
% 0.45/0.66  (define @t122 () (or @t83 @t82 @t121 @t35 @t119))
% 0.45/0.66  (define @t123 () (or @t121 @t35 @t119))
% 0.45/0.66  (define @t124 () (or @t35 @t119))
% 0.45/0.66  (define @t125 () (=> @t120 @t124))
% 0.45/0.66  (define @t126 () (= tptp.sz00 tptp.xn))
% 0.45/0.66  (define @t127 () (= tptp.sz00 (tptp.sdtasdt0 tptp.xn tptp.xn)))
% 0.45/0.66  (define @t128 () (not @t127))
% 0.45/0.66  (define @t129 () (or @t78 @t78 @t128 @t65 @t126))
% 0.45/0.66  (define @t130 () (forall @t9 @t122))
% 0.45/0.66  (define @t131 () (or @t78 @t78 @t128 @t126 @t126))
% 0.45/0.66  (define @t132 () (or @t83 @t82 @t35 @t50))
% 0.45/0.66  (define @t133 () (tptp.sdtlseqdt0 tptp.xm @t95))
% 0.45/0.66  (define @t134 () (or @t99 @t71 (= @t94 tptp.sz00) @t133))
% 0.45/0.66  (define @t135 () (forall @t9 @t132))
% 0.45/0.66  (define @t136 () (= tptp.sz00 @t94))
% 0.45/0.66  (define @t137 () (or @t99 @t71 @t136 @t133))
% 0.45/0.66  (define @t138 () (and @t69 @t76 @t96 @t108 @t112 @t116 @t136))
% 0.45/0.66  (assume @p1 (forall @t3 (=> @t2 true)))
% 0.45/0.66  (assume @p2 @t4)
% 0.45/0.66  (assume @p3 (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00))))
% 0.45/0.66  (assume @p4 (forall @t9 (=> @t8 (tptp.aNaturalNumber0 @t6))))
% 0.45/0.66  (assume @p5 (forall @t9 (=> @t8 (tptp.aNaturalNumber0 @t10))))
% 0.45/0.66  (assume @p6 (forall @t9 (=> @t8 (= @t6 @t11))))
% 0.45/0.66  (assume @p7 (forall @t16 (=> @t15 (= (tptp.sdtpldt0 @t6 @t12) (tptp.sdtpldt0 @t1 @t13)))))
% 0.45/0.66  (assume @p8 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1))))))
% 0.45/0.66  (assume @p9 @t19)
% 0.45/0.66  (assume @p10 @t21)
% 0.45/0.66  (assume @p11 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1))))))
% 0.45/0.66  (assume @p12 @t26)
% 0.45/0.66  (assume @p13 (forall @t16 (=> @t15 (and (= (tptp.sdtasdt0 @t1 @t13) (tptp.sdtpldt0 @t10 @t28)) (= (tptp.sdtasdt0 @t13 @t1) (tptp.sdtpldt0 @t17 @t27))))))
% 0.45/0.66  (assume @p14 (forall @t16 (=> @t15 (=> (or (= @t6 @t31) (= @t11 @t30)) @t29))))
% 0.45/0.66  (assume @p15 (forall @t3 (=> @t2 (=> @t36 (forall (@list @t5 @t12) (=> @t34 (=> (or @t33 @t32) @t29)))))))
% 0.45/0.66  (assume @p16 (forall @t9 (=> @t8 (=> (= @t6 tptp.sz00) (and @t35 @t37)))))
% 0.45/0.66  (assume @p17 @t41)
% 0.45/0.66  (assume @p18 (forall @t9 (=> @t8 (= @t44 (exists @t43 @t42)))))
% 0.45/0.66  (assume @p19 (forall @t9 (=> @t8 (=> @t44 (forall @t43 (= (= @t12 (tptp.sdtmndt0 @t5 @t1)) @t42))))))
% 0.45/0.66  (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1))))
% 0.45/0.66  (assume @p21 (forall @t9 (=> @t8 (=> (and @t44 @t46) @t45))))
% 0.45/0.66  (assume @p22 (forall @t16 (=> @t15 (=> (and @t44 @t47) (tptp.sdtlseqdt0 @t1 @t12)))))
% 0.45/0.66  (assume @p23 (forall @t9 (=> @t8 (or @t44 (and (not (= @t5 @t1)) @t46)))))
% 0.45/0.66  (assume @p24 (forall @t9 (=> @t8 (=> @t49 (forall @t43 (=> @t14 (and (not (= @t30 @t48)) (tptp.sdtlseqdt0 @t30 @t48) (not (= @t31 @t13)) (tptp.sdtlseqdt0 @t31 @t13))))))))
% 0.45/0.66  (assume @p25 (forall @t16 (=> @t15 (=> (and @t36 (not @t29) @t47) (and (not @t33) (tptp.sdtlseqdt0 @t10 @t28) (not @t32) (tptp.sdtlseqdt0 @t17 @t27))))))
% 0.45/0.66  (assume @p26 (forall @t3 (=> @t2 (or @t35 (= @t1 tptp.sz10) (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1))))))
% 0.45/0.66  (assume @p27 @t52)
% 0.45/0.66  (assume @p28 (forall @t9 (=> @t8 (=> @t53 true))))
% 0.45/0.66  (assume @p29 (forall @t9 (=> @t8 (=> @t49 @t53))))
% 0.45/0.66  (assume @p30 @t60)
% 0.45/0.66  (assume @p31 (forall @t9 (=> @t8 (=> (and @t36 @t57) (forall @t43 (= (= @t12 (tptp.sdtsldt0 @t5 @t1)) @t55))))))
% 0.45/0.66  (assume @p32 (forall @t16 (=> @t15 (=> (and @t57 (tptp.doDivides0 @t5 @t12)) @t61))))
% 0.45/0.66  (assume @p33 (forall @t16 (=> @t15 (=> (and @t57 @t61) @t62))))
% 0.45/0.66  (assume @p34 (forall @t16 (=> @t15 (=> (and @t57 @t62) @t61))))
% 0.45/0.66  (assume @p35 (and @t64 @t63))
% 0.45/0.66  (assume @p36 (and @t66 (not @t65)))
% 0.45/0.66  (assume @p37 (not (tptp.sdtlseqdt0 tptp.xm tptp.xn)))
% 0.45/0.66  (assume @p38 true)
% 0.45/0.66  (step @p39 :rule bool-impl-elim :args (@t2 @t67))
% 0.45/0.66  (step @p40 :rule cong :premises (@p39) :args ((forall @t3 (=> @t2 @t67))))
% 0.45/0.66  (step @p41 :rule refl :args (@t22))
% 0.45/0.66  (step @p42 :rule eq-symm :args (@t23 tptp.sz00))
% 0.45/0.66  (step @p43 :rule nary_cong :premises (@p42 @p41) :args (@t24))
% 0.45/0.66  (step @p44 :rule refl :args (@t2))
% 0.45/0.66  (step @p45 :rule cong :premises (@p44 @p43) :args (@t25))
% 0.45/0.66  (step @p46 :rule cong :premises (@p45) :args (@t26))
% 0.45/0.66  (step @p47 :rule trans :premises (@p46 @p40))
% 0.45/0.66  (step @p48 :rule eq_resolve :premises (@p12 @p47))
% 0.45/0.66  (step @p49 :rule instantiate :premises (@p48) :args ((@list tptp.xm)))
% 0.45/0.66  (step @p50 :rule and_elim :premises (@p35) :args (0))
% 0.45/0.66  (step @p51 :rule cnf_or_pos :args (@t72))
% 0.45/0.66  (step @p52 :rule reordering :premises (@p51) :args ((or @t71 @t70 (not @t72))))
% 0.45/0.66  (step @p53 :rule chain_m_resolution :premises (@p52 @p50 @p49) :args (@t70 @t73 (@list @t64 @t72)))
% 0.45/0.66  (step @p54 :rule cnf_and_pos :args (@t70 0))
% 0.45/0.66  (step @p55 :rule reordering :premises (@p54) :args ((or @t69 (not @t70))))
% 0.45/0.66  (step @p56 :rule chain_m_resolution :premises (@p55 @p53) :args (@t69 @t74 (@list @t70)))
% 0.45/0.66  (step @p57 :rule instantiate :premises (@p48) :args ((@list tptp.xn)))
% 0.45/0.66  (step @p58 :rule and_elim :premises (@p35) :args (1))
% 0.45/0.66  (step @p59 :rule cnf_or_pos :args (@t79))
% 0.45/0.66  (step @p60 :rule reordering :premises (@p59) :args ((or @t78 @t77 (not @t79))))
% 0.45/0.66  (step @p61 :rule chain_m_resolution :premises (@p60 @p58 @p57) :args (@t77 @t73 (@list @t63 @t79)))
% 0.45/0.66  (step @p62 :rule cnf_and_pos :args (@t77 0))
% 0.45/0.66  (step @p63 :rule reordering :premises (@p62) :args ((or @t76 (not @t77))))
% 0.45/0.66  (step @p64 :rule chain_m_resolution :premises (@p63 @p61) :args (@t76 @t74 (@list @t77)))
% 0.45/0.66  (step @p65 :rule aci_norm :args ((= (or @t84 @t81) (or @t83 @t82 @t81))))
% 0.45/0.66  (step @p66 :rule refl :args (@t81))
% 0.45/0.66  (step @p67 :rule bool-and-de-morgan :args (@t2 @t7 true))
% 0.45/0.66  (step @p68 :rule nary_cong :premises (@p67 @p66) :args ((or @t85 @t81)))
% 0.45/0.66  (step @p69 :rule trans :premises (@p68 @p65))
% 0.45/0.66  (step @p70 :rule bool-impl-elim :args (@t8 @t81))
% 0.45/0.66  (step @p71 :rule trans :premises (@p70 @p69))
% 0.45/0.66  (step @p72 :rule cong :premises (@p71) :args ((forall @t9 (=> @t8 @t81))))
% 0.45/0.66  (step @p73 :rule bool-and-de-morgan :args (@t14 @t54 true))
% 0.45/0.66  (step @p74 :rule cong :premises (@p73) :args (@t86))
% 0.45/0.66  (step @p75 :rule cong :premises (@p74) :args (@t87))
% 0.45/0.66  (step @p76 :rule exists-elim :args ((= @t56 @t87)))
% 0.45/0.66  (step @p77 :rule trans :premises (@p76 @p75))
% 0.45/0.66  (step @p78 :rule refl :args (@t57))
% 0.45/0.66  (step @p79 :rule cong :premises (@p78 @p77) :args (@t58))
% 0.45/0.66  (step @p80 :rule refl :args (@t8))
% 0.45/0.66  (step @p81 :rule cong :premises (@p80 @p79) :args (@t59))
% 0.45/0.66  (step @p82 :rule cong :premises (@p81) :args (@t60))
% 0.45/0.66  (step @p83 :rule trans :premises (@p82 @p72))
% 0.45/0.66  (step @p84 :rule eq_resolve :premises (@p30 @p83))
% 0.45/0.66  (step @p85 :rule instantiate :premises (@p84) :args (@t88))
% 0.45/0.66  (step @p86 :rule cnf_or_pos :args (@t92))
% 0.45/0.66  (step @p87 :rule reordering :premises (@p86) :args ((or @t71 @t78 @t91 (not @t92))))
% 0.45/0.66  (step @p88 :rule chain_m_resolution :premises (@p87 @p50 @p58 @p85) :args (@t91 @t93 (@list @t64 @t63 @t92)))
% 0.45/0.66  (step @p89 :rule and_elim :premises (@p36) :args (0))
% 0.45/0.66  (step @p90 :rule cnf_equiv_pos1 :args (@t91))
% 0.45/0.66  (step @p91 :rule reordering :premises (@p90) :args ((or (not @t66) @t90 (not @t91))))
% 0.45/0.66  (step @p92 :rule chain_m_resolution :premises (@p91 @p89 @p88) :args (@t90 @t73 (@list @t66 @t91)))
% 0.45/0.66  (step @p93 :rule skolemize :premises (@p92))
% 0.45/0.66  (step @p94 :rule bool-double-not-elim :args (@t96))
% 0.45/0.66  (step @p95 :rule refl :args (@t100))
% 0.45/0.66  (step @p96 :rule nary_cong :premises (@p95 @p94) :args ((or @t100 (not @t97))))
% 0.45/0.66  (step @p97 :rule cnf_or_neg :args (@t100 1))
% 0.45/0.66  (step @p98 :rule eq_resolve :premises (@p97 @p96))
% 0.45/0.66  (step @p99 :rule reordering :premises (@p98) :args ((or @t96 @t100)))
% 0.45/0.66  (step @p100 :rule chain_m_resolution :premises (@p99 @p93) :args (@t96 @t101 @t102))
% 0.45/0.66  (step @p101 :rule aci_norm :args ((= (or @t84 @t18) @t103)))
% 0.45/0.66  (step @p102 :rule refl :args (@t18))
% 0.45/0.66  (step @p103 :rule nary_cong :premises (@p67 @p102) :args ((or @t85 @t18)))
% 0.45/0.66  (step @p104 :rule trans :premises (@p103 @p101))
% 0.45/0.66  (step @p105 :rule bool-impl-elim :args (@t8 @t18))
% 0.45/0.66  (step @p106 :rule trans :premises (@p105 @p104))
% 0.45/0.66  (step @p107 :rule cong :premises (@p106) :args (@t19))
% 0.45/0.66  (step @p108 :rule eq_resolve :premises (@p9 @p107))
% 0.45/0.66  (step @p109 :rule eq-symm :args (@t104 @t105))
% 0.45/0.66  (step @p110 :rule refl :args (@t78))
% 0.45/0.66  (step @p111 :rule refl :args (@t71))
% 0.45/0.66  (step @p112 :rule nary_cong :premises (@p111 @p110 @p109) :args (@t106))
% 0.45/0.66  (step @p113 :rule refl :args (@t107))
% 0.45/0.66  (step @p114 :rule cong :premises (@p113 @p112) :args ((=> @t107 @t106)))
% 0.45/0.66  (assume-push @p252 @t107)
% 0.45/0.66  (step @p116 :rule instantiate :premises (@p108) :args (@t88))
% 0.45/0.66  (step-pop @p253 :rule scope :premises (@p116))
% 0.45/0.66  (step @p117 :rule process_scope :premises (@p253) :args (@t106))
% 0.45/0.66  (step @p119 :rule eq_resolve :premises (@p117 @p114))
% 0.45/0.66  (step @p120 :rule implies_elim :premises (@p119))
% 0.45/0.66  (step @p121 :rule chain_m_resolution :premises (@p120 @p108) :args (@t109 @t74 (@list @t107)))
% 0.45/0.66  (step @p122 :rule cnf_or_pos :args (@t109))
% 0.45/0.66  (step @p123 :rule reordering :premises (@p122) :args ((or @t71 @t78 @t108 (not @t109))))
% 0.45/0.66  (step @p124 :rule chain_m_resolution :premises (@p123 @p50 @p58 @p121) :args (@t108 @t93 (@list @t64 @t63 @t109)))
% 0.45/0.66  (step @p125 :rule aci_norm :args ((= (or @t110 @t20) (or @t83 @t82 @t80 @t20))))
% 0.45/0.66  (step @p126 :rule refl :args (@t20))
% 0.45/0.66  (step @p127 :rule aci_norm :args ((= (or @t83 (or @t82 @t80)) @t110)))
% 0.45/0.66  (step @p128 :rule bool-and-de-morgan :args (@t7 @t14 true))
% 0.45/0.66  (step @p129 :rule refl :args (@t83))
% 0.45/0.66  (step @p130 :rule nary_cong :premises (@p129 @p128) :args ((or @t83 (not @t34))))
% 0.45/0.66  (step @p131 :rule bool-and-de-morgan :args (@t2 @t7 (and @t14)))
% 0.45/0.66  (step @p132 :rule trans :premises (@p131 @p130))
% 0.45/0.66  (step @p133 :rule trans :premises (@p132 @p127))
% 0.45/0.66  (step @p134 :rule nary_cong :premises (@p133 @p126) :args ((or (not @t15) @t20)))
% 0.45/0.66  (step @p135 :rule trans :premises (@p134 @p125))
% 0.45/0.66  (step @p136 :rule bool-impl-elim :args (@t15 @t20))
% 0.45/0.66  (step @p137 :rule trans :premises (@p136 @p135))
% 0.45/0.66  (step @p138 :rule cong :premises (@p137) :args (@t21))
% 0.45/0.66  (step @p139 :rule eq_resolve :premises (@p10 @p138))
% 0.45/0.66  (step @p140 :rule instantiate :premises (@p139) :args ((@list tptp.xn tptp.xm @t94)))
% 0.45/0.66  (step @p141 :rule bool-double-not-elim :args (@t98))
% 0.45/0.66  (step @p142 :rule nary_cong :premises (@p95 @p141) :args ((or @t100 (not @t99))))
% 0.45/0.66  (step @p143 :rule cnf_or_neg :args (@t100 0))
% 0.45/0.66  (step @p144 :rule eq_resolve :premises (@p143 @p142))
% 0.45/0.66  (step @p145 :rule reordering :premises (@p144) :args ((or @t98 @t100)))
% 0.45/0.66  (step @p146 :rule chain_m_resolution :premises (@p145 @p93) :args (@t98 @t101 @t102))
% 0.45/0.66  (step @p147 :rule cnf_or_pos :args (@t113))
% 0.45/0.66  (step @p148 :rule reordering :premises (@p147) :args ((or @t71 @t78 @t99 @t112 (not @t113))))
% 0.45/0.66  (step @p149 :rule chain_m_resolution :premises (@p148 @p50 @p58 @p146 @p140) :args (@t112 @t114 (@list @t64 @t63 @t98 @t113)))
% 0.45/0.66  (step @p150 :rule instantiate :premises (@p139) :args ((@list tptp.xm tptp.xn tptp.sz00)))
% 0.45/0.66  (step @p151 :rule cnf_or_pos :args (@t118))
% 0.45/0.66  (step @p152 :rule reordering :premises (@p151) :args ((or @t117 @t71 @t78 @t116 (not @t118))))
% 0.45/0.66  (step @p153 :rule chain_m_resolution :premises (@p152 @p2 @p50 @p58 @p150) :args (@t116 @t114 (@list @t4 @t64 @t63 @t118)))
% 0.45/0.66  (step @p154 :rule aci_norm :args ((= (or @t84 @t123) @t122)))
% 0.45/0.66  (step @p155 :rule aci_norm :args ((= (or @t121 @t124) @t123)))
% 0.45/0.66  (step @p156 :rule bool-impl-elim :args (@t120 @t124))
% 0.45/0.66  (step @p157 :rule trans :premises (@p156 @p155))
% 0.45/0.66  (step @p158 :rule nary_cong :premises (@p67 @p157) :args ((or @t85 @t125)))
% 0.45/0.66  (step @p159 :rule trans :premises (@p158 @p154))
% 0.45/0.66  (step @p160 :rule bool-impl-elim :args (@t8 @t125))
% 0.45/0.66  (step @p161 :rule trans :premises (@p160 @p159))
% 0.45/0.66  (step @p162 :rule cong :premises (@p161) :args ((forall @t9 (=> @t8 @t125))))
% 0.45/0.66  (step @p163 :rule eq-symm :args (@t5 tptp.sz00))
% 0.45/0.66  (step @p164 :rule refl :args (@t35))
% 0.45/0.66  (step @p165 :rule nary_cong :premises (@p164 @p163) :args (@t38))
% 0.45/0.66  (step @p166 :rule eq-symm :args (@t10 tptp.sz00))
% 0.45/0.66  (step @p167 :rule cong :premises (@p166 @p165) :args (@t39))
% 0.45/0.66  (step @p168 :rule cong :premises (@p80 @p167) :args (@t40))
% 0.45/0.66  (step @p169 :rule cong :premises (@p168) :args (@t41))
% 0.45/0.66  (step @p170 :rule trans :premises (@p169 @p162))
% 0.45/0.66  (step @p171 :rule eq_resolve :premises (@p17 @p170))
% 0.45/0.66  (step @p172 :rule refl :args (@t126))
% 0.45/0.66  (step @p173 :rule eq-symm :args (tptp.xn tptp.sz00))
% 0.45/0.66  (step @p174 :rule refl :args (@t128))
% 0.45/0.66  (step @p175 :rule nary_cong :premises (@p110 @p110 @p174 @p173 @p172) :args (@t129))
% 0.45/0.66  (step @p176 :rule refl :args (@t130))
% 0.45/0.66  (step @p177 :rule cong :premises (@p176 @p175) :args ((=> @t130 @t129)))
% 0.45/0.66  (assume-push @p254 @t130)
% 0.45/0.66  (step @p179 :rule instantiate :premises (@p171) :args ((@list tptp.xn tptp.xn)))
% 0.45/0.66  (step-pop @p255 :rule scope :premises (@p179))
% 0.45/0.66  (step @p180 :rule process_scope :premises (@p255) :args (@t129))
% 0.45/0.66  (step @p182 :rule eq_resolve :premises (@p180 @p177))
% 0.45/0.66  (step @p183 :rule implies_elim :premises (@p182))
% 0.45/0.66  (step @p184 :rule chain_m_resolution :premises (@p183 @p171) :args (@t131 @t74 (@list @t130)))
% 0.45/0.66  (step @p185 :rule and_elim :premises (@p36) :args (1))
% 0.45/0.66  (step @p186 :rule symm :premises (@p185))
% 0.45/0.66  (step @p187 :rule cnf_or_pos :args (@t131))
% 0.45/0.66  (step @p188 :rule factoring :premises (@p187))
% 0.45/0.66  (step @p189 :rule reordering :premises (@p188) :args ((or @t126 @t78 @t128 (not @t131))))
% 0.45/0.66  (step @p190 :rule chain_m_resolution :premises (@p189 @p186 @p58 @p184) :args (@t128 (@list true false false) (@list @t126 @t63 @t131)))
% 0.45/0.66  (step @p191 :rule aci_norm :args ((= (or @t84 (or @t35 @t50)) @t132)))
% 0.45/0.66  (step @p192 :rule refl :args (@t50))
% 0.45/0.66  (step @p193 :rule bool-double-not-elim :args (@t35))
% 0.45/0.66  (step @p194 :rule nary_cong :premises (@p193 @p192) :args ((or (not @t36) @t50)))
% 0.45/0.66  (step @p195 :rule bool-impl-elim :args (@t36 @t50))
% 0.45/0.66  (step @p196 :rule trans :premises (@p195 @p194))
% 0.45/0.66  (step @p197 :rule nary_cong :premises (@p67 @p196) :args ((or @t85 @t51)))
% 0.45/0.66  (step @p198 :rule trans :premises (@p197 @p191))
% 0.45/0.66  (step @p199 :rule bool-impl-elim :args (@t8 @t51))
% 0.45/0.66  (step @p200 :rule trans :premises (@p199 @p198))
% 0.45/0.66  (step @p201 :rule cong :premises (@p200) :args (@t52))
% 0.45/0.66  (step @p202 :rule eq_resolve :premises (@p27 @p201))
% 0.45/0.66  (step @p203 :rule refl :args (@t133))
% 0.45/0.66  (step @p204 :rule eq-symm :args (@t94 tptp.sz00))
% 0.45/0.66  (step @p205 :rule refl :args (@t99))
% 0.45/0.66  (step @p206 :rule nary_cong :premises (@p205 @p111 @p204 @p203) :args (@t134))
% 0.45/0.66  (step @p207 :rule refl :args (@t135))
% 0.45/0.66  (step @p208 :rule cong :premises (@p207 @p206) :args ((=> @t135 @t134)))
% 0.45/0.66  (assume-push @p256 @t135)
% 0.45/0.66  (step @p210 :rule instantiate :premises (@p202) :args ((@list @t94 tptp.xm)))
% 0.45/0.66  (step-pop @p257 :rule scope :premises (@p210))
% 0.45/0.66  (step @p211 :rule process_scope :premises (@p257) :args (@t134))
% 0.45/0.66  (step @p213 :rule eq_resolve :premises (@p211 @p208))
% 0.45/0.66  (step @p214 :rule implies_elim :premises (@p213))
% 0.45/0.66  (step @p215 :rule chain_m_resolution :premises (@p214 @p202) :args (@t137 @t74 (@list @t135)))
% 0.45/0.66  (step @p216 :rule false_intro :premises (@p37))
% 0.45/0.66  (step @p217 :rule symm :premises (@p100))
% 0.45/0.66  (step @p218 :rule refl :args (tptp.xm))
% 0.45/0.66  (step @p219 :rule cong :premises (@p218 @p217) :args (@t133))
% 0.45/0.66  (step @p220 :rule trans :premises (@p219 @p216))
% 0.45/0.66  (step @p221 :rule false_elim :premises (@p220))
% 0.45/0.66  (step @p222 :rule cnf_or_pos :args (@t137))
% 0.45/0.66  (step @p223 :rule reordering :premises (@p222) :args ((or @t71 @t99 @t136 @t133 (not @t137))))
% 0.45/0.66  (step @p224 :rule chain_m_resolution :premises (@p223 @p50 @p146 @p221 @p215) :args (@t136 (@list false false true false) (@list @t64 @t98 @t133 @t137)))
% 0.45/0.66  (assume-push @p258 @t69)
% 0.45/0.66  (assume-push @p259 @t76)
% 0.45/0.66  (assume-push @p260 @t96)
% 0.45/0.66  (assume-push @p261 @t108)
% 0.45/0.66  (assume-push @p262 @t112)
% 0.45/0.66  (assume-push @p263 @t116)
% 0.45/0.66  (assume-push @p264 @t136)
% 0.45/0.66  (step @p232 :rule refl :args (tptp.xn))
% 0.45/0.66  (step @p233 :rule cong :premises (@p232 @p217) :args (@t111))
% 0.45/0.66  (step @p234 :rule symm :premises (@p124))
% 0.45/0.66  (step @p235 :rule cong :premises (@p234 @p224) :args (@t115))
% 0.45/0.66  (step @p236 :rule symm :premises (@p153))
% 0.45/0.66  (step @p237 :rule cong :premises (@p218 @p64) :args (@t68))
% 0.45/0.66  (step @p238 :rule trans :premises (@p56 @p237 @p236 @p235 @p149 @p233))
% 0.45/0.66  (step-pop @p265 :rule scope :premises (@p238))
% 0.45/0.66  (step-pop @p266 :rule scope :premises (@p265))
% 0.45/0.66  (step-pop @p267 :rule scope :premises (@p266))
% 0.45/0.66  (step-pop @p268 :rule scope :premises (@p267))
% 0.45/0.66  (step-pop @p269 :rule scope :premises (@p268))
% 0.45/0.66  (step-pop @p270 :rule scope :premises (@p269))
% 0.45/0.66  (step-pop @p271 :rule scope :premises (@p270))
% 0.45/0.66  (step @p239 :rule process_scope :premises (@p271) :args (@t127))
% 0.45/0.66  (step @p247 :rule implies_elim :premises (@p239))
% 0.45/0.66  (step @p248 :rule cnf_and_neg :args (@t138))
% 0.45/0.66  (step @p249 :rule resolution :premises (@p248 @p247) :args (true @t138))
% 0.45/0.66  (step @p250 :rule reordering :premises (@p249) :args ((or (not @t69) (not @t76) @t97 @t127 (not @t108) (not @t112) (not @t116) (not @t136))))
% 0.45/0.66  (step @p251 false :rule chain_m_resolution :premises (@p250 @p224 @p190 @p153 @p149 @p124 @p100 @p64 @p56) :args (false (@list false true false false false false false false) (@list @t136 @t127 @t116 @t112 @t108 @t96 @t76 @t69)))
% 0.45/0.66  )
% 0.45/0.66  % SZS output end Proof
% 0.45/0.66  % cvc5 exiting
%------------------------------------------------------------------------------