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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : KLE042+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 : n016.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 08:28:11 AM UTC 2026

% Result   : Theorem 108.42s 108.66s
% Output   : Proof 108.42s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : KLE042+1 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.33  % Computer : n016.cluster.edu
% 0.16/0.33  % Model    : x86_64 x86_64
% 0.16/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33  % Memory   : 8042.1875MB
% 0.16/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33  % CPULimit : 300
% 0.16/0.33  % WCLimit  : 300
% 0.16/0.33  % DateTime : Tue Jun  2 05:11:39 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.30/0.48  %----Proving TF0_NAR, FOF, or CNF
% 108.42/108.66  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 108.42/108.66  --- Run --no-e-matching --full-saturate-quant at 6...
% 108.42/108.66  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6...
% 108.42/108.66  --- Run --finite-model-find --uf-ss=no-minimal at 6...
% 108.42/108.66  --- Run --multi-trigger-when-single --full-saturate-quant at 30...
% 108.42/108.66  --- Run --trigger-sel=max --full-saturate-quant at 15...
% 108.42/108.66  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33...
% 108.42/108.66  % SZS status Theorem
% 108.42/108.66  % SZS output start Proof
% 108.42/108.66  (
% 108.42/108.66  (declare-sort $$unsorted 0)
% 108.42/108.66  (declare-const tptp.star (-> $$unsorted $$unsorted))
% 108.42/108.66  (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted))
% 108.42/108.66  (declare-const tptp.leq (-> $$unsorted $$unsorted Bool))
% 108.42/108.66  (declare-const tptp.zero $$unsorted)
% 108.42/108.66  (declare-const tptp.one $$unsorted)
% 108.42/108.66  (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted))
% 108.42/108.66  (define @t1 () (@var "A" $$unsorted))
% 108.42/108.66  (define @t2 () (@var "B" $$unsorted))
% 108.42/108.66  (define @t3 () (tptp.addition @t1 @t2))
% 108.42/108.66  (define @t4 () (@list @t1 @t2))
% 108.42/108.66  (define @t5 () (@var "C" $$unsorted))
% 108.42/108.66  (define @t6 () (tptp.addition @t2 @t5))
% 108.42/108.66  (define @t7 () (@list @t1))
% 108.42/108.66  (define @t8 () (tptp.addition @t1 @t1))
% 108.42/108.66  (define @t9 () (forall @t7 (= @t8 @t1)))
% 108.42/108.66  (define @t10 () (tptp.multiplication @t1 @t2))
% 108.42/108.66  (define @t11 () (tptp.multiplication @t2 @t5))
% 108.42/108.66  (define @t12 () (@list @t1 @t2 @t5))
% 108.42/108.66  (define @t13 () (forall @t12 (= (tptp.multiplication @t1 @t11) (tptp.multiplication @t10 @t5))))
% 108.42/108.66  (define @t14 () (tptp.multiplication @t1 tptp.one))
% 108.42/108.66  (define @t15 () (forall @t7 (= @t14 @t1)))
% 108.42/108.66  (define @t16 () (tptp.multiplication tptp.one @t1))
% 108.42/108.66  (define @t17 () (forall @t7 (= @t16 @t1)))
% 108.42/108.66  (define @t18 () (tptp.multiplication @t1 @t5))
% 108.42/108.66  (define @t19 () (tptp.leq @t1 @t2))
% 108.42/108.66  (define @t20 () (= @t19 (= @t3 @t2)))
% 108.42/108.66  (define @t21 () (forall @t4 @t20))
% 108.42/108.66  (define @t22 () (tptp.star @t1))
% 108.42/108.66  (define @t23 () (tptp.leq (tptp.multiplication @t22 @t5) @t2))
% 108.42/108.66  (define @t24 () (tptp.addition @t10 @t5))
% 108.42/108.66  (define @t25 () (tptp.leq @t24 @t2))
% 108.42/108.66  (define @t26 () (forall @t12 (=> @t25 @t23)))
% 108.42/108.66  (define @t27 () (tptp.leq (tptp.multiplication @t5 (tptp.star @t2)) @t1))
% 108.42/108.66  (define @t28 () (tptp.leq @t24 @t1))
% 108.42/108.66  (define @t29 () (forall @t12 (=> @t28 @t27)))
% 108.42/108.66  (define @t30 () (@var "X0" $$unsorted))
% 108.42/108.66  (define @t31 () (@var "X1" $$unsorted))
% 108.42/108.66  (define @t32 () (forall (@list @t30 @t31) (= (tptp.multiplication (tptp.star (tptp.multiplication @t30 @t31)) @t30) (tptp.multiplication @t30 (tptp.star (tptp.multiplication @t31 @t30))))))
% 108.42/108.66  (define @t33 () (@quantifiers_skolemize @t32 0))
% 108.42/108.66  (define @t34 () (@quantifiers_skolemize @t32 1))
% 108.42/108.66  (define @t35 () (tptp.multiplication @t34 @t33))
% 108.42/108.66  (define @t36 () (tptp.star @t35))
% 108.42/108.66  (define @t37 () (tptp.multiplication @t36 @t35))
% 108.42/108.66  (define @t38 () (tptp.addition tptp.one @t37))
% 108.42/108.66  (define @t39 () (@list @t38 @t36))
% 108.42/108.66  (define @t40 () (@list @t35))
% 108.42/108.66  (define @t41 () (tptp.addition @t38 @t36))
% 108.42/108.66  (define @t42 () (= @t36 @t41))
% 108.42/108.66  (define @t43 () (tptp.leq @t38 @t36))
% 108.42/108.66  (define @t44 () (= @t43 @t42))
% 108.42/108.66  (define @t45 () (@list false false))
% 108.42/108.66  (define @t46 () (@list @t33))
% 108.42/108.66  (define @t47 () (tptp.multiplication @t33 @t34))
% 108.42/108.66  (define @t48 () (tptp.star @t47))
% 108.42/108.66  (define @t49 () (tptp.multiplication @t48 @t47))
% 108.42/108.66  (define @t50 () (tptp.addition tptp.one @t49))
% 108.42/108.66  (define @t51 () (tptp.multiplication @t33 @t36))
% 108.42/108.66  (define @t52 () (tptp.multiplication @t33 @t38))
% 108.42/108.66  (define @t53 () (tptp.addition @t51 @t52))
% 108.42/108.66  (define @t54 () (tptp.multiplication @t50 @t51))
% 108.42/108.66  (define @t55 () (tptp.multiplication @t48 @t33))
% 108.42/108.66  (define @t56 () (tptp.multiplication @t49 @t33))
% 108.42/108.66  (define @t57 () (tptp.multiplication tptp.one @t33))
% 108.42/108.66  (define @t58 () (tptp.addition @t54 @t55))
% 108.42/108.66  (define @t59 () (tptp.multiplication @t50 @t33))
% 108.42/108.66  (define @t60 () (tptp.multiplication @t59 @t36))
% 108.42/108.66  (define @t61 () (tptp.addition @t50 @t48))
% 108.42/108.66  (define @t62 () (= @t48 @t61))
% 108.42/108.66  (define @t63 () (tptp.leq @t50 @t48))
% 108.42/108.66  (define @t64 () (= @t63 @t62))
% 108.42/108.66  (define @t65 () (= @t55 (tptp.addition @t59 @t55)))
% 108.42/108.66  (define @t66 () (tptp.leq @t59 @t55))
% 108.42/108.66  (define @t67 () (= @t66 @t65))
% 108.42/108.66  (define @t68 () (tptp.multiplication @t55 @t35))
% 108.42/108.66  (define @t69 () (tptp.addition @t68 @t57))
% 108.42/108.66  (define @t70 () (tptp.addition (tptp.multiplication @t50 @t47) @t49))
% 108.42/108.66  (define @t71 () (tptp.addition @t70 tptp.one))
% 108.42/108.66  (define @t72 () (tptp.addition @t70 @t50))
% 108.42/108.66  (define @t73 () (tptp.addition @t68 @t59))
% 108.42/108.66  (define @t74 () (tptp.leq @t73 @t55))
% 108.42/108.66  (define @t75 () (tptp.leq @t60 @t55))
% 108.42/108.66  (define @t76 () (not @t74))
% 108.42/108.66  (define @t77 () (or @t76 @t75))
% 108.42/108.66  (define @t78 () (tptp.addition @t60 @t55))
% 108.42/108.66  (define @t79 () (= @t55 @t78))
% 108.42/108.66  (define @t80 () (= @t75 @t79))
% 108.42/108.66  (define @t81 () (tptp.multiplication @t33 tptp.one))
% 108.42/108.66  (define @t82 () (tptp.addition (tptp.multiplication @t47 @t51) @t81))
% 108.42/108.66  (define @t83 () (tptp.multiplication @t34 @t51))
% 108.42/108.66  (define @t84 () (tptp.multiplication @t35 @t36))
% 108.42/108.66  (define @t85 () (= @t83 @t84))
% 108.42/108.66  (define @t86 () (tptp.multiplication @t33 @t84))
% 108.42/108.66  (define @t87 () (tptp.multiplication tptp.one @t35))
% 108.42/108.66  (define @t88 () (tptp.multiplication @t84 @t35))
% 108.42/108.66  (define @t89 () (tptp.addition @t88 @t87))
% 108.42/108.66  (define @t90 () (tptp.addition @t84 @t88))
% 108.42/108.66  (define @t91 () (tptp.addition @t90 @t35))
% 108.42/108.66  (define @t92 () (tptp.multiplication @t35 tptp.one))
% 108.42/108.66  (define @t93 () (tptp.addition @t92 @t35))
% 108.42/108.66  (define @t94 () (tptp.addition @t84 @t35))
% 108.42/108.66  (define @t95 () (tptp.addition @t86 @t81))
% 108.42/108.66  (define @t96 () (tptp.addition tptp.one @t84))
% 108.42/108.66  (define @t97 () (tptp.addition @t96 @t36))
% 108.42/108.66  (define @t98 () (= @t36 @t97))
% 108.42/108.66  (define @t99 () (tptp.leq @t96 @t36))
% 108.42/108.66  (define @t100 () (= @t99 @t98))
% 108.42/108.66  (define @t101 () (= @t51 (tptp.addition @t82 @t51)))
% 108.42/108.66  (define @t102 () (tptp.leq @t82 @t51))
% 108.42/108.66  (define @t103 () (= @t102 @t101))
% 108.42/108.66  (define @t104 () (tptp.leq (tptp.multiplication @t48 @t81) @t51))
% 108.42/108.66  (define @t105 () (not @t102))
% 108.42/108.66  (define @t106 () (or @t105 @t104))
% 108.42/108.66  (define @t107 () (tptp.leq @t58 @t51))
% 108.42/108.66  (define @t108 () (= @t51 (tptp.addition @t58 @t51)))
% 108.42/108.66  (define @t109 () (= @t107 @t108))
% 108.42/108.66  (define @t110 () (tptp.multiplication @t57 @t36))
% 108.42/108.66  (define @t111 () (tptp.multiplication @t56 @t36))
% 108.42/108.66  (define @t112 () (tptp.addition @t52 @t51))
% 108.42/108.66  (define @t113 () (tptp.multiplication @t33 @t41))
% 108.42/108.66  (define @t114 () (= @t113 @t112))
% 108.42/108.66  (define @t115 () (tptp.multiplication @t36 tptp.one))
% 108.42/108.66  (define @t116 () (= @t36 @t115))
% 108.42/108.66  (define @t117 () (= @t33 @t57))
% 108.42/108.66  (define @t118 () (tptp.multiplication @t51 tptp.one))
% 108.42/108.66  (define @t119 () (tptp.multiplication @t33 @t115))
% 108.42/108.66  (define @t120 () (= @t119 @t118))
% 108.42/108.66  (define @t121 () (= @t54 @t60))
% 108.42/108.66  (define @t122 () (= @t112 @t53))
% 108.42/108.66  (define @t123 () (tptp.addition tptp.one tptp.one))
% 108.42/108.66  (define @t124 () (= tptp.one @t123))
% 108.42/108.66  (define @t125 () (tptp.addition @t57 @t56))
% 108.42/108.66  (define @t126 () (= @t59 @t125))
% 108.42/108.66  (define @t127 () (tptp.addition @t53 @t58))
% 108.42/108.66  (define @t128 () (= @t127 (tptp.addition (tptp.addition @t53 @t54) @t55)))
% 108.42/108.66  (define @t129 () (tptp.addition @t118 @t118))
% 108.42/108.66  (define @t130 () (= (tptp.multiplication @t51 @t123) @t129))
% 108.42/108.66  (define @t131 () (tptp.addition @t110 @t111))
% 108.42/108.66  (define @t132 () (tptp.multiplication @t125 @t36))
% 108.42/108.66  (define @t133 () (= @t132 @t131))
% 108.42/108.66  (define @t134 () (tptp.addition @t58 @t53))
% 108.42/108.66  (define @t135 () (= @t127 @t134))
% 108.42/108.66  (define @t136 () (tptp.addition @t53 @t131))
% 108.42/108.66  (define @t137 () (= @t136 (tptp.addition (tptp.addition @t53 @t110) @t111)))
% 108.42/108.66  (define @t138 () (= @t55 @t51))
% 108.42/108.66  (define @t139 () (and @t42 @t114 @t116 @t117 @t120 @t121 @t122 @t124 @t126 @t128 @t130 @t108 @t133 @t135 @t79 @t137))
% 108.42/108.66  (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1))))
% 108.42/108.66  (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5))))
% 108.42/108.66  (assume @p3 (forall @t7 (= (tptp.addition @t1 tptp.zero) @t1)))
% 108.42/108.66  (assume @p4 @t9)
% 108.42/108.66  (assume @p5 @t13)
% 108.42/108.66  (assume @p6 @t15)
% 108.42/108.66  (assume @p7 @t17)
% 108.42/108.66  (assume @p8 (forall @t12 (= (tptp.multiplication @t1 @t6) (tptp.addition @t10 @t18))))
% 108.42/108.66  (assume @p9 (forall @t12 (= (tptp.multiplication @t3 @t5) (tptp.addition @t18 @t11))))
% 108.42/108.66  (assume @p10 (forall @t7 (= (tptp.multiplication @t1 tptp.zero) tptp.zero)))
% 108.42/108.66  (assume @p11 (forall @t7 (= (tptp.multiplication tptp.zero @t1) tptp.zero)))
% 108.42/108.66  (assume @p12 @t21)
% 108.42/108.66  (assume @p13 (forall @t7 (tptp.leq (tptp.addition tptp.one (tptp.multiplication @t1 @t22)) @t22)))
% 108.42/108.66  (assume @p14 (forall @t7 (tptp.leq (tptp.addition tptp.one (tptp.multiplication @t22 @t1)) @t22)))
% 108.42/108.66  (assume @p15 @t26)
% 108.42/108.66  (assume @p16 @t29)
% 108.42/108.66  (assume @p17 (not @t32))
% 108.42/108.66  (assume @p18 true)
% 108.42/108.66  (step @p19 :rule skolemize :premises (@p17))
% 108.42/108.66  (step @p20 :rule eq-symm :args (@t3 @t2))
% 108.42/108.66  (step @p21 :rule refl :args (@t19))
% 108.42/108.66  (step @p22 :rule cong :premises (@p21 @p20) :args (@t20))
% 108.42/108.66  (step @p23 :rule cong :premises (@p22) :args (@t21))
% 108.42/108.66  (step @p24 :rule eq_resolve :premises (@p12 @p23))
% 108.42/108.66  (step @p25 :rule instantiate :premises (@p24) :args (@t39))
% 108.42/108.66  (step @p26 :rule instantiate :premises (@p14) :args (@t40))
% 108.42/108.66  (step @p27 :rule cnf_equiv_pos1 :args (@t44))
% 108.42/108.66  (step @p28 :rule reordering :premises (@p27) :args ((or (not @t43) @t42 (not @t44))))
% 108.42/108.66  (step @p29 :rule chain_m_resolution :premises (@p28 @p26 @p25) :args (@t42 @t45 (@list @t43 @t44)))
% 108.42/108.66  (step @p30 :rule instantiate :premises (@p8) :args ((@list @t33 @t38 @t36)))
% 108.42/108.66  (step @p31 :rule eq-symm :args (@t14 @t1))
% 108.42/108.66  (step @p32 :rule cong :premises (@p31) :args (@t15))
% 108.42/108.66  (step @p33 :rule eq_resolve :premises (@p6 @p32))
% 108.42/108.66  (step @p34 :rule instantiate :premises (@p33) :args ((@list @t36)))
% 108.42/108.66  (step @p35 :rule eq-symm :args (@t16 @t1))
% 108.42/108.66  (step @p36 :rule cong :premises (@p35) :args (@t17))
% 108.42/108.66  (step @p37 :rule eq_resolve :premises (@p7 @p36))
% 108.42/108.66  (step @p38 :rule instantiate :premises (@p37) :args (@t46))
% 108.42/108.66  (step @p39 :rule instantiate :premises (@p5) :args ((@list @t33 @t36 tptp.one)))
% 108.42/108.66  (step @p40 :rule instantiate :premises (@p5) :args ((@list @t50 @t33 @t36)))
% 108.42/108.66  (step @p41 :rule instantiate :premises (@p1) :args ((@list @t52 @t51)))
% 108.42/108.66  (step @p42 :rule instantiate :premises (@p9) :args ((@list tptp.one @t49 @t33)))
% 108.42/108.66  (step @p43 :rule eq-symm :args (@t8 @t1))
% 108.42/108.66  (step @p44 :rule cong :premises (@p43) :args (@t9))
% 108.42/108.66  (step @p45 :rule eq_resolve :premises (@p4 @p44))
% 108.42/108.66  (step @p46 :rule instantiate :premises (@p45) :args ((@list tptp.one)))
% 108.42/108.66  (step @p47 :rule instantiate :premises (@p2) :args ((@list @t55 @t54 @t53)))
% 108.42/108.66  (step @p48 :rule instantiate :premises (@p8) :args ((@list @t51 tptp.one tptp.one)))
% 108.42/108.66  (step @p49 :rule instantiate :premises (@p9) :args ((@list @t57 @t56 @t36)))
% 108.42/108.66  (step @p50 :rule instantiate :premises (@p1) :args ((@list @t53 @t58)))
% 108.42/108.66  (step @p51 :rule instantiate :premises (@p24) :args ((@list @t60 @t55)))
% 108.42/108.66  (step @p52 :rule bool-impl-elim :args (@t28 @t27))
% 108.42/108.66  (step @p53 :rule cong :premises (@p52) :args (@t29))
% 108.42/108.66  (step @p54 :rule eq_resolve :premises (@p16 @p53))
% 108.42/108.66  (step @p55 :rule instantiate :premises (@p54) :args ((@list @t55 @t35 @t59)))
% 108.42/108.66  (step @p56 :rule instantiate :premises (@p24) :args ((@list @t59 @t55)))
% 108.42/108.66  (step @p57 :rule instantiate :premises (@p9) :args ((@list @t50 @t48 @t33)))
% 108.42/108.66  (step @p58 :rule refl :args (@t33))
% 108.42/108.66  (step @p59 :rule instantiate :premises (@p24) :args ((@list @t50 @t48)))
% 108.42/108.66  (step @p60 :rule instantiate :premises (@p14) :args ((@list @t47)))
% 108.42/108.66  (step @p61 :rule cnf_equiv_pos1 :args (@t64))
% 108.42/108.66  (step @p62 :rule reordering :premises (@p61) :args ((or (not @t63) @t62 (not @t64))))
% 108.42/108.66  (step @p63 :rule chain_m_resolution :premises (@p62 @p60 @p59) :args (@t62 @t45 (@list @t63 @t64)))
% 108.42/108.66  (step @p64 :rule cong :premises (@p63 @p58) :args (@t55))
% 108.42/108.66  (step @p65 :rule trans :premises (@p64 @p57))
% 108.42/108.66  (step @p66 :rule cnf_equiv_pos2 :args (@t67))
% 108.42/108.66  (step @p67 :rule reordering :premises (@p66) :args ((or @t66 (not @t65) (not @t67))))
% 108.42/108.66  (step @p68 :rule chain_m_resolution :premises (@p67 @p65 @p56) :args (@t66 @t45 (@list @t65 @t67)))
% 108.42/108.66  (step @p69 :rule true_intro :premises (@p68))
% 108.42/108.66  (step @p70 :rule refl :args (@t55))
% 108.42/108.66  (step @p71 :rule instantiate :premises (@p1) :args ((@list tptp.one @t49)))
% 108.42/108.66  (step @p72 :rule symm :premises (@p71))
% 108.42/108.66  (step @p73 :rule cong :premises (@p72 @p58) :args ((tptp.multiplication (tptp.addition @t49 tptp.one) @t33)))
% 108.42/108.66  (step @p74 :rule instantiate :premises (@p9) :args ((@list @t49 tptp.one @t33)))
% 108.42/108.66  (step @p75 :rule symm :premises (@p74))
% 108.42/108.66  (step @p76 :rule refl :args (@t57))
% 108.42/108.66  (step @p77 :rule instantiate :premises (@p5) :args ((@list @t48 @t33 @t34)))
% 108.42/108.66  (step @p78 :rule symm :premises (@p77))
% 108.42/108.66  (step @p79 :rule cong :premises (@p78 @p58) :args ((tptp.multiplication (tptp.multiplication @t55 @t34) @t33)))
% 108.42/108.66  (step @p80 :rule instantiate :premises (@p5) :args ((@list @t55 @t34 @t33)))
% 108.42/108.66  (step @p81 :rule trans :premises (@p80 @p79))
% 108.42/108.66  (step @p82 :rule cong :premises (@p81 @p76) :args (@t69))
% 108.42/108.66  (step @p83 :rule trans :premises (@p82 @p75 @p73))
% 108.42/108.66  (step @p84 :rule cong :premises (@p83 @p70) :args ((tptp.leq @t69 @t55)))
% 108.42/108.66  (step @p85 :rule symm :premises (@p83))
% 108.42/108.66  (step @p86 :rule instantiate :premises (@p45) :args ((@list @t50)))
% 108.42/108.66  (step @p87 :rule symm :premises (@p86))
% 108.42/108.66  (step @p88 :rule refl :args (@t50))
% 108.42/108.66  (step @p89 :rule refl :args (tptp.one))
% 108.42/108.66  (step @p90 :rule refl :args (@t47))
% 108.42/108.66  (step @p91 :rule symm :premises (@p63))
% 108.42/108.66  (step @p92 :rule cong :premises (@p91 @p90) :args ((tptp.multiplication @t61 @t47)))
% 108.42/108.66  (step @p93 :rule instantiate :premises (@p9) :args ((@list @t50 @t48 @t47)))
% 108.42/108.66  (step @p94 :rule symm :premises (@p93))
% 108.42/108.66  (step @p95 :rule trans :premises (@p94 @p92))
% 108.42/108.66  (step @p96 :rule cong :premises (@p95 @p89) :args (@t71))
% 108.42/108.66  (step @p97 :rule trans :premises (@p96 @p72))
% 108.42/108.66  (step @p98 :rule cong :premises (@p97 @p88) :args ((tptp.addition @t71 @t50)))
% 108.42/108.66  (step @p99 :rule instantiate :premises (@p2) :args ((@list @t50 tptp.one @t70)))
% 108.42/108.66  (step @p100 :rule instantiate :premises (@p2) :args ((@list @t49 tptp.one tptp.one)))
% 108.42/108.66  (step @p101 :rule symm :premises (@p100))
% 108.42/108.66  (step @p102 :rule refl :args (@t49))
% 108.42/108.66  (step @p103 :rule cong :premises (@p46 @p102) :args (@t50))
% 108.42/108.66  (step @p104 :rule trans :premises (@p103 @p101))
% 108.42/108.66  (step @p105 :rule refl :args (@t70))
% 108.42/108.66  (step @p106 :rule cong :premises (@p105 @p104) :args (@t72))
% 108.42/108.66  (step @p107 :rule trans :premises (@p106 @p99 @p98 @p87))
% 108.42/108.66  (step @p108 :rule cong :premises (@p107 @p58) :args ((tptp.multiplication @t72 @t33)))
% 108.42/108.66  (step @p109 :rule instantiate :premises (@p9) :args ((@list @t70 @t50 @t33)))
% 108.42/108.66  (step @p110 :rule symm :premises (@p109))
% 108.42/108.66  (step @p111 :rule refl :args (@t59))
% 108.42/108.66  (step @p112 :rule symm :premises (@p95))
% 108.42/108.66  (step @p113 :rule cong :premises (@p112 @p58) :args (@t56))
% 108.42/108.66  (step @p114 :rule trans :premises (@p81 @p113))
% 108.42/108.66  (step @p115 :rule cong :premises (@p114 @p111) :args (@t73))
% 108.42/108.66  (step @p116 :rule trans :premises (@p115 @p110 @p108))
% 108.42/108.66  (step @p117 :rule trans :premises (@p116 @p85))
% 108.42/108.66  (step @p118 :rule cong :premises (@p117 @p70) :args (@t74))
% 108.42/108.66  (step @p119 :rule trans :premises (@p118 @p84 @p69))
% 108.42/108.66  (step @p120 :rule true_elim :premises (@p119))
% 108.42/108.66  (step @p121 :rule cnf_or_pos :args (@t77))
% 108.42/108.66  (step @p122 :rule reordering :premises (@p121) :args ((or @t76 @t75 (not @t77))))
% 108.42/108.66  (step @p123 :rule chain_m_resolution :premises (@p122 @p120 @p55) :args (@t75 @t45 (@list @t74 @t77)))
% 108.42/108.66  (step @p124 :rule cnf_equiv_pos1 :args (@t80))
% 108.42/108.66  (step @p125 :rule reordering :premises (@p124) :args ((or (not @t75) @t79 (not @t80))))
% 108.42/108.66  (step @p126 :rule chain_m_resolution :premises (@p125 @p123 @p51) :args (@t79 @t45 (@list @t75 @t80)))
% 108.42/108.66  (step @p127 :rule instantiate :premises (@p24) :args ((@list @t58 @t51)))
% 108.42/108.66  (step @p128 :rule bool-impl-elim :args (@t25 @t23))
% 108.42/108.66  (step @p129 :rule cong :premises (@p128) :args (@t26))
% 108.42/108.66  (step @p130 :rule eq_resolve :premises (@p15 @p129))
% 108.42/108.66  (step @p131 :rule instantiate :premises (@p130) :args ((@list @t47 @t51 @t81)))
% 108.42/108.66  (step @p132 :rule instantiate :premises (@p24) :args ((@list @t82 @t51)))
% 108.42/108.66  (step @p133 :rule refl :args (@t51))
% 108.42/108.66  (step @p134 :rule instantiate :premises (@p33) :args (@t46))
% 108.42/108.66  (step @p135 :rule instantiate :premises (@p5) :args ((@list @t33 @t34 @t51)))
% 108.42/108.66  (step @p136 :rule eq-symm :args (@t83 @t84))
% 108.42/108.66  (step @p137 :rule refl :args (@t13))
% 108.42/108.66  (step @p138 :rule cong :premises (@p137 @p136) :args ((=> @t13 @t85)))
% 108.42/108.66  (assume-push @p331 @t13)
% 108.42/108.66  (step @p140 :rule instantiate :premises (@p5) :args ((@list @t34 @t33 @t36)))
% 108.42/108.66  (step-pop @p332 :rule scope :premises (@p140))
% 108.42/108.66  (step @p141 :rule process_scope :premises (@p332) :args (@t85))
% 108.42/108.66  (step @p143 :rule eq_resolve :premises (@p141 @p138))
% 108.42/108.66  (step @p144 :rule implies_elim :premises (@p143))
% 108.42/108.66  (step @p145 :rule chain_m_resolution :premises (@p144 @p5) :args ((= @t84 @t83) (@list false) (@list @t13)))
% 108.42/108.66  (step @p146 :rule cong :premises (@p58 @p145) :args (@t86))
% 108.42/108.66  (step @p147 :rule trans :premises (@p146 @p135))
% 108.42/108.66  (step @p148 :rule symm :premises (@p29))
% 108.42/108.66  (step @p149 :rule instantiate :premises (@p1) :args (@t39))
% 108.42/108.66  (step @p150 :rule symm :premises (@p149))
% 108.42/108.66  (step @p151 :rule trans :premises (@p150 @p148))
% 108.42/108.66  (step @p152 :rule refl :args (@t35))
% 108.42/108.66  (step @p153 :rule cong :premises (@p152 @p151) :args ((tptp.multiplication @t35 (tptp.addition @t36 @t38))))
% 108.42/108.66  (step @p154 :rule instantiate :premises (@p8) :args ((@list @t35 @t36 @t38)))
% 108.42/108.66  (step @p155 :rule symm :premises (@p154))
% 108.42/108.66  (step @p156 :rule instantiate :premises (@p1) :args ((@list tptp.one @t37)))
% 108.42/108.66  (step @p157 :rule symm :premises (@p156))
% 108.42/108.66  (step @p158 :rule cong :premises (@p152 @p157) :args ((tptp.multiplication @t35 (tptp.addition @t37 tptp.one))))
% 108.42/108.66  (step @p159 :rule instantiate :premises (@p8) :args ((@list @t35 @t37 tptp.one)))
% 108.42/108.66  (step @p160 :rule symm :premises (@p159))
% 108.42/108.66  (step @p161 :rule instantiate :premises (@p33) :args (@t40))
% 108.42/108.66  (step @p162 :rule instantiate :premises (@p37) :args (@t40))
% 108.42/108.66  (step @p163 :rule symm :premises (@p162))
% 108.42/108.66  (step @p164 :rule trans :premises (@p163 @p161))
% 108.42/108.66  (step @p165 :rule instantiate :premises (@p5) :args ((@list @t35 @t36 @t35)))
% 108.42/108.66  (step @p166 :rule symm :premises (@p165))
% 108.42/108.66  (step @p167 :rule cong :premises (@p166 @p164) :args (@t89))
% 108.42/108.66  (step @p168 :rule trans :premises (@p167 @p160 @p158))
% 108.42/108.66  (step @p169 :rule refl :args (@t84))
% 108.42/108.66  (step @p170 :rule cong :premises (@p169 @p168) :args ((tptp.addition @t84 @t89)))
% 108.42/108.66  (step @p171 :rule instantiate :premises (@p2) :args ((@list @t87 @t88 @t84)))
% 108.42/108.66  (step @p172 :rule symm :premises (@p171))
% 108.42/108.66  (step @p173 :rule refl :args (@t90))
% 108.42/108.66  (step @p174 :rule cong :premises (@p173 @p162) :args (@t91))
% 108.42/108.66  (step @p175 :rule instantiate :premises (@p45) :args ((@list @t87)))
% 108.42/108.66  (step @p176 :rule symm :premises (@p175))
% 108.42/108.66  (step @p177 :rule symm :premises (@p164))
% 108.42/108.66  (step @p178 :rule cong :premises (@p177 @p162) :args (@t93))
% 108.42/108.66  (step @p179 :rule trans :premises (@p178 @p176 @p163))
% 108.42/108.66  (step @p180 :rule cong :premises (@p173 @p179) :args ((tptp.addition @t90 @t93)))
% 108.42/108.66  (step @p181 :rule instantiate :premises (@p2) :args ((@list @t35 @t92 @t90)))
% 108.42/108.66  (step @p182 :rule symm :premises (@p181))
% 108.42/108.66  (step @p183 :rule cong :premises (@p173 @p161) :args (@t91))
% 108.42/108.66  (step @p184 :rule symm :premises (@p174))
% 108.42/108.66  (step @p185 :rule symm :premises (@p170))
% 108.42/108.66  (step @p186 :rule symm :premises (@p153))
% 108.42/108.66  (step @p187 :rule trans :premises (@p186 @p154 @p185 @p171 @p184 @p183))
% 108.42/108.66  (step @p188 :rule cong :premises (@p187 @p152) :args (@t94))
% 108.42/108.66  (step @p189 :rule trans :premises (@p188 @p182 @p180 @p174 @p172 @p170 @p155 @p153))
% 108.42/108.66  (step @p190 :rule cong :premises (@p58 @p189) :args ((tptp.multiplication @t33 @t94)))
% 108.42/108.66  (step @p191 :rule instantiate :premises (@p8) :args ((@list @t33 @t84 @t35)))
% 108.42/108.66  (step @p192 :rule symm :premises (@p191))
% 108.42/108.66  (step @p193 :rule trans :premises (@p192 @p190))
% 108.42/108.66  (step @p194 :rule trans :premises (@p193 @p147))
% 108.42/108.66  (step @p195 :rule cong :premises (@p194 @p134) :args ((tptp.addition (tptp.addition @t86 (tptp.multiplication @t33 @t35)) @t33)))
% 108.42/108.66  (step @p196 :rule symm :premises (@p134))
% 108.42/108.66  (step @p197 :rule symm :premises (@p193))
% 108.42/108.66  (step @p198 :rule cong :premises (@p197 @p196) :args (@t95))
% 108.42/108.66  (step @p199 :rule trans :premises (@p198 @p195))
% 108.42/108.66  (step @p200 :rule cong :premises (@p199 @p133) :args ((tptp.addition @t95 @t51)))
% 108.42/108.66  (step @p201 :rule instantiate :premises (@p2) :args ((@list @t51 @t81 @t86)))
% 108.42/108.66  (step @p202 :rule instantiate :premises (@p8) :args ((@list @t33 tptp.one @t36)))
% 108.42/108.66  (step @p203 :rule instantiate :premises (@p24) :args ((@list @t96 @t36)))
% 108.42/108.66  (step @p204 :rule instantiate :premises (@p13) :args (@t40))
% 108.42/108.66  (step @p205 :rule cnf_equiv_pos1 :args (@t100))
% 108.42/108.66  (step @p206 :rule reordering :premises (@p205) :args ((or (not @t99) @t98 (not @t100))))
% 108.42/108.66  (step @p207 :rule chain_m_resolution :premises (@p206 @p204 @p203) :args (@t98 @t45 (@list @t99 @t100)))
% 108.42/108.66  (step @p208 :rule symm :premises (@p207))
% 108.42/108.66  (step @p209 :rule cong :premises (@p89 @p208) :args ((tptp.addition tptp.one @t97)))
% 108.42/108.66  (step @p210 :rule instantiate :premises (@p2) :args ((@list @t36 @t96 tptp.one)))
% 108.42/108.66  (step @p211 :rule symm :premises (@p210))
% 108.42/108.66  (step @p212 :rule refl :args (@t36))
% 108.42/108.66  (step @p213 :rule instantiate :premises (@p2) :args ((@list @t84 tptp.one tptp.one)))
% 108.42/108.66  (step @p214 :rule symm :premises (@p213))
% 108.42/108.66  (step @p215 :rule cong :premises (@p46 @p169) :args (@t96))
% 108.42/108.66  (step @p216 :rule trans :premises (@p215 @p214))
% 108.42/108.66  (step @p217 :rule instantiate :premises (@p1) :args ((@list tptp.one @t84)))
% 108.42/108.66  (step @p218 :rule symm :premises (@p217))
% 108.42/108.66  (step @p219 :rule trans :premises (@p218 @p216))
% 108.42/108.66  (step @p220 :rule cong :premises (@p219 @p212) :args ((tptp.addition (tptp.addition @t84 tptp.one) @t36)))
% 108.42/108.66  (step @p221 :rule cong :premises (@p217 @p212) :args (@t97))
% 108.42/108.66  (step @p222 :rule trans :premises (@p207 @p221 @p220 @p211 @p209))
% 108.42/108.66  (step @p223 :rule cong :premises (@p58 @p222) :args (@t51))
% 108.42/108.66  (step @p224 :rule trans :premises (@p223 @p202))
% 108.42/108.66  (step @p225 :rule refl :args (@t86))
% 108.42/108.66  (step @p226 :rule cong :premises (@p225 @p224) :args ((tptp.addition @t86 @t51)))
% 108.42/108.66  (step @p227 :rule instantiate :premises (@p8) :args ((@list @t33 @t84 @t36)))
% 108.42/108.66  (step @p228 :rule symm :premises (@p222))
% 108.42/108.66  (step @p229 :rule cong :premises (@p169 @p228) :args ((tptp.addition @t84 (tptp.addition tptp.one @t36))))
% 108.42/108.66  (step @p230 :rule instantiate :premises (@p2) :args ((@list @t36 tptp.one @t84)))
% 108.42/108.66  (step @p231 :rule symm :premises (@p230))
% 108.42/108.66  (step @p232 :rule trans :premises (@p207 @p221 @p231 @p229))
% 108.42/108.66  (step @p233 :rule cong :premises (@p58 @p232) :args (@t51))
% 108.42/108.66  (step @p234 :rule trans :premises (@p233 @p227 @p226 @p201 @p200))
% 108.42/108.66  (step @p235 :rule cnf_equiv_pos2 :args (@t103))
% 108.42/108.66  (step @p236 :rule reordering :premises (@p235) :args ((or @t102 (not @t101) (not @t103))))
% 108.42/108.66  (step @p237 :rule chain_m_resolution :premises (@p236 @p234 @p132) :args (@t102 @t45 (@list @t101 @t103)))
% 108.42/108.66  (step @p238 :rule cnf_or_pos :args (@t106))
% 108.42/108.66  (step @p239 :rule reordering :premises (@p238) :args ((or @t105 @t104 (not @t106))))
% 108.42/108.66  (step @p240 :rule chain_m_resolution :premises (@p239 @p237 @p131) :args (@t104 @t45 (@list @t102 @t106)))
% 108.42/108.66  (step @p241 :rule true_intro :premises (@p240))
% 108.42/108.66  (step @p242 :rule refl :args (@t48))
% 108.42/108.66  (step @p243 :rule cong :premises (@p242 @p134) :args (@t55))
% 108.42/108.66  (step @p244 :rule symm :premises (@p126))
% 108.42/108.66  (step @p245 :rule cong :premises (@p40 @p70) :args (@t58))
% 108.42/108.66  (step @p246 :rule trans :premises (@p245 @p244))
% 108.42/108.66  (step @p247 :rule trans :premises (@p246 @p243))
% 108.42/108.66  (step @p248 :rule cong :premises (@p247 @p133) :args (@t107))
% 108.42/108.66  (step @p249 :rule trans :premises (@p248 @p241))
% 108.42/108.66  (step @p250 :rule true_elim :premises (@p249))
% 108.42/108.66  (step @p251 :rule cnf_equiv_pos1 :args (@t109))
% 108.42/108.66  (step @p252 :rule reordering :premises (@p251) :args ((or (not @t107) @t108 (not @t109))))
% 108.42/108.66  (step @p253 :rule chain_m_resolution :premises (@p252 @p250 @p127) :args (@t108 @t45 (@list @t107 @t109)))
% 108.42/108.66  (step @p254 :rule instantiate :premises (@p2) :args ((@list @t111 @t110 @t53)))
% 108.42/108.66  (assume-push @p333 @t42)
% 108.42/108.66  (assume-push @p334 @t114)
% 108.42/108.66  (assume-push @p335 @t116)
% 108.42/108.66  (assume-push @p336 @t117)
% 108.42/108.66  (assume-push @p337 @t120)
% 108.42/108.66  (assume-push @p338 @t121)
% 108.42/108.66  (assume-push @p339 @t122)
% 108.42/108.66  (assume-push @p340 @t124)
% 108.42/108.66  (assume-push @p341 @t126)
% 108.42/108.66  (assume-push @p342 @t128)
% 108.42/108.66  (assume-push @p343 @t130)
% 108.42/108.66  (assume-push @p344 @t108)
% 108.42/108.66  (assume-push @p345 @t133)
% 108.42/108.66  (assume-push @p346 @t135)
% 108.42/108.66  (assume-push @p347 @t79)
% 108.42/108.66  (assume-push @p348 @t137)
% 108.42/108.66  (step @p271 :rule symm :premises (@p253))
% 108.42/108.66  (step @p272 :rule cong :premises (@p58 @p148) :args (@t113))
% 108.42/108.66  (step @p273 :rule symm :premises (@p30))
% 108.42/108.66  (step @p274 :rule symm :premises (@p41))
% 108.42/108.66  (step @p275 :rule trans :premises (@p274 @p273 @p272))
% 108.42/108.66  (step @p276 :rule refl :args (@t58))
% 108.42/108.66  (step @p277 :rule cong :premises (@p276 @p275) :args (@t134))
% 108.42/108.66  (step @p278 :rule symm :premises (@p47))
% 108.42/108.66  (step @p279 :rule symm :premises (@p40))
% 108.42/108.66  (step @p280 :rule symm :premises (@p42))
% 108.42/108.66  (step @p281 :rule cong :premises (@p280 @p212) :args (@t132))
% 108.42/108.66  (step @p282 :rule symm :premises (@p49))
% 108.42/108.66  (step @p283 :rule trans :premises (@p282 @p281 @p279))
% 108.42/108.66  (step @p284 :rule refl :args (@t53))
% 108.42/108.66  (step @p285 :rule cong :premises (@p284 @p283) :args (@t136))
% 108.42/108.66  (step @p286 :rule symm :premises (@p254))
% 108.42/108.66  (step @p287 :rule refl :args (@t111))
% 108.42/108.66  (step @p288 :rule cong :premises (@p38 @p212) :args (@t51))
% 108.42/108.66  (step @p289 :rule symm :premises (@p275))
% 108.42/108.66  (step @p290 :rule symm :premises (@p34))
% 108.42/108.66  (step @p291 :rule cong :premises (@p58 @p290) :args (@t119))
% 108.42/108.66  (step @p292 :rule symm :premises (@p39))
% 108.42/108.66  (step @p293 :rule trans :premises (@p292 @p291))
% 108.42/108.66  (step @p294 :rule trans :premises (@p293 @p289))
% 108.42/108.66  (step @p295 :rule cong :premises (@p294 @p288) :args ((tptp.addition @t118 @t51)))
% 108.42/108.66  (step @p296 :rule refl :args (@t118))
% 108.42/108.66  (step @p297 :rule cong :premises (@p296 @p293) :args (@t129))
% 108.42/108.66  (step @p298 :rule cong :premises (@p133 @p46) :args (@t118))
% 108.42/108.66  (step @p299 :rule symm :premises (@p291))
% 108.42/108.66  (step @p300 :rule trans :premises (@p299 @p39 @p298 @p48 @p297 @p295))
% 108.42/108.67  (step @p301 :rule symm :premises (@p288))
% 108.42/108.67  (step @p302 :rule trans :premises (@p301 @p300))
% 108.42/108.67  (step @p303 :rule cong :premises (@p302 @p287) :args (@t131))
% 108.42/108.67  (step @p304 :rule symm :premises (@p281))
% 108.42/108.67  (step @p305 :rule trans :premises (@p40 @p304 @p49 @p303 @p286 @p285))
% 108.42/108.67  (step @p306 :rule cong :premises (@p305 @p70) :args (@t58))
% 108.42/108.67  (step @p307 :rule cong :premises (@p279 @p70) :args (@t78))
% 108.42/108.67  (step @p308 :rule trans :premises (@p126 @p307 @p306 @p278 @p50 @p277 @p271))
% 108.42/108.67  (step-pop @p349 :rule scope :premises (@p308))
% 108.42/108.67  (step-pop @p350 :rule scope :premises (@p349))
% 108.42/108.67  (step-pop @p351 :rule scope :premises (@p350))
% 108.42/108.67  (step-pop @p352 :rule scope :premises (@p351))
% 108.42/108.67  (step-pop @p353 :rule scope :premises (@p352))
% 108.42/108.67  (step-pop @p354 :rule scope :premises (@p353))
% 108.42/108.67  (step-pop @p355 :rule scope :premises (@p354))
% 108.42/108.67  (step-pop @p356 :rule scope :premises (@p355))
% 108.42/108.67  (step-pop @p357 :rule scope :premises (@p356))
% 108.42/108.67  (step-pop @p358 :rule scope :premises (@p357))
% 108.42/108.67  (step-pop @p359 :rule scope :premises (@p358))
% 108.42/108.67  (step-pop @p360 :rule scope :premises (@p359))
% 108.42/108.67  (step-pop @p361 :rule scope :premises (@p360))
% 108.42/108.67  (step-pop @p362 :rule scope :premises (@p361))
% 108.42/108.67  (step-pop @p363 :rule scope :premises (@p362))
% 108.42/108.67  (step-pop @p364 :rule scope :premises (@p363))
% 108.42/108.67  (step @p309 :rule process_scope :premises (@p364) :args (@t138))
% 108.42/108.67  (step @p326 :rule implies_elim :premises (@p309))
% 108.42/108.67  (step @p327 :rule cnf_and_neg :args (@t139))
% 108.42/108.67  (step @p328 :rule resolution :premises (@p327 @p326) :args (true @t139))
% 108.42/108.67  (step @p329 :rule reordering :premises (@p328) :args ((or @t138 (not @t42) (not @t114) (not @t116) (not @t117) (not @t120) (not @t121) (not @t122) (not @t126) (not @t124) (not @t128) (not @t130) (not @t108) (not @t133) (not @t135) (not @t79) (not @t137))))
% 108.42/108.67  (step @p330 false :rule chain_m_resolution :premises (@p329 @p254 @p253 @p126 @p50 @p49 @p48 @p47 @p46 @p42 @p41 @p40 @p39 @p38 @p34 @p30 @p29 @p19) :args (false (@list false false false false false false false false false false false false false false false false true) (@list @t137 @t108 @t79 @t135 @t133 @t130 @t128 @t124 @t126 @t122 @t121 @t120 @t117 @t116 @t114 @t42 @t138)))
% 108.42/108.67  )
% 108.42/108.67  % SZS output end Proof
% 108.42/108.67  % cvc5 exiting
%------------------------------------------------------------------------------