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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : KLE038+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 : n015.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 08:28:10 AM UTC 2026

% Result   : Theorem 0.61s 0.89s
% Output   : Proof 0.61s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : KLE038+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 : n015.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 05:11:04 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.29/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.61/0.89  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.61/0.89  % SZS status Theorem
% 0.61/0.89  % SZS output start Proof
% 0.61/0.89  (
% 0.61/0.89  (declare-sort $$unsorted 0)
% 0.61/0.89  (declare-const tptp.star (-> $$unsorted $$unsorted))
% 0.61/0.89  (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted))
% 0.61/0.89  (declare-const tptp.leq (-> $$unsorted $$unsorted Bool))
% 0.61/0.89  (declare-const tptp.zero $$unsorted)
% 0.61/0.89  (declare-const tptp.one $$unsorted)
% 0.61/0.89  (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted))
% 0.61/0.89  (define @t1 () (@var "A" $$unsorted))
% 0.61/0.89  (define @t2 () (@var "B" $$unsorted))
% 0.61/0.89  (define @t3 () (tptp.addition @t1 @t2))
% 0.61/0.89  (define @t4 () (@list @t1 @t2))
% 0.61/0.89  (define @t5 () (@var "C" $$unsorted))
% 0.61/0.89  (define @t6 () (tptp.addition @t2 @t5))
% 0.61/0.89  (define @t7 () (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5))))
% 0.61/0.89  (define @t8 () (@list @t1))
% 0.61/0.89  (define @t9 () (tptp.addition @t1 @t1))
% 0.61/0.89  (define @t10 () (forall @t8 (= @t9 @t1)))
% 0.61/0.89  (define @t11 () (tptp.multiplication @t1 @t2))
% 0.61/0.89  (define @t12 () (tptp.multiplication @t2 @t5))
% 0.61/0.89  (define @t13 () (@list @t1 @t2 @t5))
% 0.61/0.89  (define @t14 () (tptp.multiplication @t1 tptp.one))
% 0.61/0.89  (define @t15 () (forall @t8 (= @t14 @t1)))
% 0.61/0.89  (define @t16 () (tptp.multiplication tptp.one @t1))
% 0.61/0.89  (define @t17 () (forall @t8 (= @t16 @t1)))
% 0.61/0.89  (define @t18 () (tptp.multiplication @t1 @t5))
% 0.61/0.89  (define @t19 () (tptp.leq @t1 @t2))
% 0.61/0.89  (define @t20 () (= @t19 (= @t3 @t2)))
% 0.61/0.89  (define @t21 () (forall @t4 @t20))
% 0.61/0.89  (define @t22 () (tptp.star @t1))
% 0.61/0.89  (define @t23 () (tptp.leq (tptp.multiplication @t22 @t5) @t2))
% 0.61/0.89  (define @t24 () (tptp.addition @t11 @t5))
% 0.61/0.89  (define @t25 () (tptp.leq @t24 @t2))
% 0.61/0.89  (define @t26 () (forall @t13 (=> @t25 @t23)))
% 0.61/0.89  (define @t27 () (@var "X0" $$unsorted))
% 0.61/0.89  (define @t28 () (forall (@list @t27) (tptp.leq @t27 (tptp.star @t27))))
% 0.61/0.89  (define @t29 () (@quantifiers_skolemize @t28 0))
% 0.61/0.89  (define @t30 () (tptp.star @t29))
% 0.61/0.89  (define @t31 () (= @t30 (tptp.addition @t29 @t30)))
% 0.61/0.89  (define @t32 () (tptp.leq @t29 @t30))
% 0.61/0.89  (define @t33 () (= @t32 @t31))
% 0.61/0.89  (define @t34 () (not @t31))
% 0.61/0.89  (define @t35 () (tptp.multiplication @t30 @t29))
% 0.61/0.89  (define @t36 () (tptp.addition tptp.one @t35))
% 0.61/0.89  (define @t37 () (@list @t29))
% 0.61/0.89  (define @t38 () (tptp.addition @t36 @t30))
% 0.61/0.89  (define @t39 () (= @t30 @t38))
% 0.61/0.89  (define @t40 () (tptp.leq @t36 @t30))
% 0.61/0.89  (define @t41 () (= @t40 @t39))
% 0.61/0.89  (define @t42 () (@list false false))
% 0.61/0.89  (define @t43 () (tptp.addition @t35 @t30))
% 0.61/0.89  (define @t44 () (tptp.addition tptp.one @t43))
% 0.61/0.89  (define @t45 () (= @t44 @t38))
% 0.61/0.89  (define @t46 () (@list @t30 @t35 tptp.one))
% 0.61/0.89  (define @t47 () (= @t38 @t44))
% 0.61/0.89  (define @t48 () (@list false))
% 0.61/0.89  (define @t49 () (@list @t7))
% 0.61/0.89  (define @t50 () (tptp.addition @t36 @t36))
% 0.61/0.89  (define @t51 () (tptp.multiplication @t36 @t29))
% 0.61/0.89  (define @t52 () (tptp.addition @t35 @t36))
% 0.61/0.89  (define @t53 () (tptp.addition tptp.one @t52))
% 0.61/0.89  (define @t54 () (= @t53 @t50))
% 0.61/0.89  (define @t55 () (@list @t36 @t35 tptp.one))
% 0.61/0.89  (define @t56 () (= @t50 @t53))
% 0.61/0.89  (define @t57 () (@list @t30))
% 0.61/0.89  (define @t58 () (tptp.multiplication @t30 tptp.one))
% 0.61/0.89  (define @t59 () (tptp.multiplication @t29 @t30))
% 0.61/0.89  (define @t60 () (tptp.leq (tptp.addition @t59 tptp.one) @t30))
% 0.61/0.89  (define @t61 () (tptp.leq @t58 @t30))
% 0.61/0.89  (define @t62 () (not @t60))
% 0.61/0.89  (define @t63 () (or @t62 @t61))
% 0.61/0.89  (define @t64 () (= @t30 (tptp.addition @t58 @t30)))
% 0.61/0.89  (define @t65 () (= @t61 @t64))
% 0.61/0.89  (define @t66 () (tptp.addition @t35 tptp.one))
% 0.61/0.89  (define @t67 () (tptp.addition @t50 tptp.one))
% 0.61/0.89  (define @t68 () (tptp.multiplication tptp.one @t29))
% 0.61/0.89  (define @t69 () (tptp.multiplication @t43 @t29))
% 0.61/0.89  (define @t70 () (tptp.multiplication tptp.one @t30))
% 0.61/0.89  (define @t71 () (tptp.addition @t30 @t68))
% 0.61/0.89  (define @t72 () (tptp.addition @t43 @t29))
% 0.61/0.89  (define @t73 () (tptp.addition @t35 @t35))
% 0.61/0.89  (define @t74 () (tptp.addition tptp.one @t73))
% 0.61/0.89  (define @t75 () (tptp.addition @t36 @t35))
% 0.61/0.89  (define @t76 () (= @t74 @t75))
% 0.61/0.89  (define @t77 () (= @t75 @t74))
% 0.61/0.89  (define @t78 () (tptp.multiplication @t52 @t29))
% 0.61/0.89  (define @t79 () (tptp.addition @t43 @t68))
% 0.61/0.89  (define @t80 () (tptp.addition @t79 @t78))
% 0.61/0.89  (define @t81 () (tptp.addition @t68 @t78))
% 0.61/0.89  (define @t82 () (tptp.addition @t43 @t81))
% 0.61/0.89  (define @t83 () (= @t82 @t80))
% 0.61/0.89  (define @t84 () (not @t83))
% 0.61/0.89  (define @t85 () (not @t77))
% 0.61/0.89  (define @t86 () (tptp.addition @t51 @t72))
% 0.61/0.89  (define @t87 () (= @t86 (tptp.addition @t72 @t51)))
% 0.61/0.89  (define @t88 () (not @t87))
% 0.61/0.89  (define @t89 () (tptp.addition @t71 @t69))
% 0.61/0.89  (define @t90 () (= @t89 (tptp.addition @t69 @t71)))
% 0.61/0.89  (define @t91 () (not @t90))
% 0.61/0.89  (define @t92 () (tptp.multiplication @t53 @t29))
% 0.61/0.89  (define @t93 () (= @t92 @t81))
% 0.61/0.89  (define @t94 () (not @t93))
% 0.61/0.89  (define @t95 () (tptp.addition @t70 @t30))
% 0.61/0.89  (define @t96 () (tptp.multiplication @t95 @t29))
% 0.61/0.89  (define @t97 () (= @t96 (tptp.addition (tptp.multiplication @t70 @t29) @t35)))
% 0.61/0.89  (define @t98 () (not @t97))
% 0.61/0.89  (define @t99 () (= @t29 @t68))
% 0.61/0.89  (define @t100 () (not @t99))
% 0.61/0.89  (define @t101 () (tptp.multiplication @t43 tptp.one))
% 0.61/0.89  (define @t102 () (= @t43 @t101))
% 0.61/0.89  (define @t103 () (not @t102))
% 0.61/0.89  (define @t104 () (tptp.addition @t51 @t43))
% 0.61/0.89  (define @t105 () (tptp.addition @t104 @t29))
% 0.61/0.89  (define @t106 () (= @t86 @t105))
% 0.61/0.89  (define @t107 () (not @t106))
% 0.61/0.89  (define @t108 () (tptp.addition @t68 @t69))
% 0.61/0.89  (define @t109 () (tptp.addition @t108 @t36))
% 0.61/0.89  (define @t110 () (tptp.addition @t68 (tptp.addition @t69 @t36)))
% 0.61/0.89  (define @t111 () (= @t110 @t109))
% 0.61/0.89  (define @t112 () (not @t111))
% 0.61/0.89  (define @t113 () (tptp.addition @t30 @t108))
% 0.61/0.89  (define @t114 () (= @t113 @t89))
% 0.61/0.89  (define @t115 () (not @t114))
% 0.61/0.89  (define @t116 () (tptp.addition @t29 @t43))
% 0.61/0.89  (define @t117 () (= @t72 @t116))
% 0.61/0.89  (define @t118 () (not @t117))
% 0.61/0.89  (define @t119 () (tptp.addition @t67 @t43))
% 0.61/0.89  (define @t120 () (= @t119 (tptp.addition @t43 @t67)))
% 0.61/0.89  (define @t121 () (not @t120))
% 0.61/0.89  (define @t122 () (= @t104 (tptp.addition @t43 @t51)))
% 0.61/0.89  (define @t123 () (not @t122))
% 0.61/0.89  (define @t124 () (= @t52 @t75))
% 0.61/0.89  (define @t125 () (not @t124))
% 0.61/0.89  (define @t126 () (tptp.addition @t43 @t66))
% 0.61/0.89  (define @t127 () (tptp.addition @t66 @t43))
% 0.61/0.89  (define @t128 () (= @t127 @t126))
% 0.61/0.89  (define @t129 () (not @t128))
% 0.61/0.89  (define @t130 () (= @t67 (tptp.addition tptp.one @t50)))
% 0.61/0.89  (define @t131 () (not @t130))
% 0.61/0.89  (define @t132 () (not @t64))
% 0.61/0.89  (define @t133 () (tptp.multiplication @t44 @t29))
% 0.61/0.89  (define @t134 () (= @t133 @t108))
% 0.61/0.89  (define @t135 () (not @t134))
% 0.61/0.89  (define @t136 () (= @t30 @t70))
% 0.61/0.89  (define @t137 () (not @t136))
% 0.61/0.89  (define @t138 () (= @t30 @t58))
% 0.61/0.89  (define @t139 () (not @t138))
% 0.61/0.89  (define @t140 () (= @t36 @t50))
% 0.61/0.89  (define @t141 () (not @t140))
% 0.61/0.89  (define @t142 () (not @t56))
% 0.61/0.89  (define @t143 () (tptp.addition @t51 @t35))
% 0.61/0.89  (define @t144 () (tptp.addition @t143 @t30))
% 0.61/0.89  (define @t145 () (= @t104 @t144))
% 0.61/0.89  (define @t146 () (not @t145))
% 0.61/0.89  (define @t147 () (tptp.addition @t50 @t44))
% 0.61/0.89  (define @t148 () (= @t147 @t119))
% 0.61/0.89  (define @t149 () (not @t148))
% 0.61/0.89  (define @t150 () (= (tptp.addition @t35 @t44) @t127))
% 0.61/0.89  (define @t151 () (not @t150))
% 0.61/0.89  (define @t152 () (= @t43 (tptp.addition @t30 @t35)))
% 0.61/0.89  (define @t153 () (not @t152))
% 0.61/0.89  (define @t154 () (tptp.multiplication @t38 @t29))
% 0.61/0.89  (define @t155 () (= @t154 @t143))
% 0.61/0.89  (define @t156 () (not @t155))
% 0.61/0.89  (define @t157 () (not @t47))
% 0.61/0.89  (define @t158 () (tptp.addition @t36 @t38))
% 0.61/0.89  (define @t159 () (= @t158 (tptp.addition @t50 @t30)))
% 0.61/0.89  (define @t160 () (not @t159))
% 0.61/0.89  (define @t161 () (not @t39))
% 0.61/0.89  (define @t162 () (= @t36 @t66))
% 0.61/0.89  (define @t163 () (not @t162))
% 0.61/0.89  (define @t164 () (tptp.addition @t30 @t29))
% 0.61/0.89  (define @t165 () (tptp.addition @t69 @t164))
% 0.61/0.89  (define @t166 () (tptp.addition @t165 @t36))
% 0.61/0.89  (define @t167 () (and @t34 @t162 @t39 @t159 @t47 @t155 @t152 @t150 @t148 @t145 @t56 @t140 @t138 @t136 @t134 @t64 @t130 @t128 @t124 @t122 @t120 @t117 @t114 @t111 @t106 @t102 @t99 @t97 @t93 @t90 @t87 @t77))
% 0.61/0.89  (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1))))
% 0.61/0.89  (assume @p2 @t7)
% 0.61/0.89  (assume @p3 (forall @t8 (= (tptp.addition @t1 tptp.zero) @t1)))
% 0.61/0.89  (assume @p4 @t10)
% 0.61/0.89  (assume @p5 (forall @t13 (= (tptp.multiplication @t1 @t12) (tptp.multiplication @t11 @t5))))
% 0.61/0.89  (assume @p6 @t15)
% 0.61/0.89  (assume @p7 @t17)
% 0.61/0.89  (assume @p8 (forall @t13 (= (tptp.multiplication @t1 @t6) (tptp.addition @t11 @t18))))
% 0.61/0.89  (assume @p9 (forall @t13 (= (tptp.multiplication @t3 @t5) (tptp.addition @t18 @t12))))
% 0.61/0.89  (assume @p10 (forall @t8 (= (tptp.multiplication @t1 tptp.zero) tptp.zero)))
% 0.61/0.89  (assume @p11 (forall @t8 (= (tptp.multiplication tptp.zero @t1) tptp.zero)))
% 0.61/0.89  (assume @p12 @t21)
% 0.61/0.89  (assume @p13 (forall @t8 (tptp.leq (tptp.addition tptp.one (tptp.multiplication @t1 @t22)) @t22)))
% 0.61/0.89  (assume @p14 (forall @t8 (tptp.leq (tptp.addition tptp.one (tptp.multiplication @t22 @t1)) @t22)))
% 0.61/0.89  (assume @p15 @t26)
% 0.61/0.89  (assume @p16 (forall @t13 (=> (tptp.leq @t24 @t1) (tptp.leq (tptp.multiplication @t5 (tptp.star @t2)) @t1))))
% 0.61/0.89  (assume @p17 (not @t28))
% 0.61/0.89  (assume @p18 true)
% 0.61/0.89  (step @p19 :rule eq-symm :args (@t3 @t2))
% 0.61/0.89  (step @p20 :rule refl :args (@t19))
% 0.61/0.89  (step @p21 :rule cong :premises (@p20 @p19) :args (@t20))
% 0.61/0.89  (step @p22 :rule cong :premises (@p21) :args (@t21))
% 0.61/0.89  (step @p23 :rule eq_resolve :premises (@p12 @p22))
% 0.61/0.89  (step @p24 :rule instantiate :premises (@p23) :args ((@list @t29 @t30)))
% 0.61/0.89  (step @p25 :rule skolemize :premises (@p17))
% 0.61/0.89  (step @p26 :rule cnf_equiv_pos2 :args (@t33))
% 0.61/0.89  (step @p27 :rule reordering :premises (@p26) :args ((or @t32 @t34 (not @t33))))
% 0.61/0.89  (step @p28 :rule chain_m_resolution :premises (@p27 @p25 @p24) :args (@t34 (@list true false) (@list @t32 @t33)))
% 0.61/0.89  (step @p29 :rule instantiate :premises (@p1) :args ((@list tptp.one @t35)))
% 0.61/0.89  (step @p30 :rule instantiate :premises (@p23) :args ((@list @t36 @t30)))
% 0.61/0.89  (step @p31 :rule instantiate :premises (@p14) :args (@t37))
% 0.61/0.89  (step @p32 :rule cnf_equiv_pos1 :args (@t41))
% 0.61/0.89  (step @p33 :rule reordering :premises (@p32) :args ((or (not @t40) @t39 (not @t41))))
% 0.61/0.89  (step @p34 :rule chain_m_resolution :premises (@p33 @p31 @p30) :args (@t39 @t42 (@list @t40 @t41)))
% 0.61/0.89  (step @p35 :rule instantiate :premises (@p2) :args ((@list @t30 @t36 @t36)))
% 0.61/0.89  (step @p36 :rule eq-symm :args (@t44 @t38))
% 0.61/0.89  (step @p37 :rule refl :args (@t7))
% 0.61/0.89  (step @p38 :rule cong :premises (@p37 @p36) :args ((=> @t7 @t45)))
% 0.61/0.89  (assume-push @p312 @t7)
% 0.61/0.89  (step @p40 :rule instantiate :premises (@p2) :args (@t46))
% 0.61/0.89  (step-pop @p313 :rule scope :premises (@p40))
% 0.61/0.89  (step @p41 :rule process_scope :premises (@p313) :args (@t45))
% 0.61/0.89  (step @p43 :rule eq_resolve :premises (@p41 @p38))
% 0.61/0.89  (step @p44 :rule implies_elim :premises (@p43))
% 0.61/0.89  (step @p45 :rule chain_m_resolution :premises (@p44 @p2) :args (@t47 @t48 @t49))
% 0.61/0.89  (step @p46 :rule instantiate :premises (@p9) :args ((@list @t36 @t30 @t29)))
% 0.61/0.89  (step @p47 :rule instantiate :premises (@p1) :args ((@list @t35 @t30)))
% 0.61/0.89  (step @p48 :rule instantiate :premises (@p2) :args ((@list @t43 tptp.one @t35)))
% 0.61/0.89  (step @p49 :rule instantiate :premises (@p2) :args ((@list @t43 tptp.one @t50)))
% 0.61/0.89  (step @p50 :rule instantiate :premises (@p2) :args ((@list @t30 @t35 @t51)))
% 0.61/0.89  (step @p51 :rule eq-symm :args (@t53 @t50))
% 0.61/0.89  (step @p52 :rule cong :premises (@p37 @p51) :args ((=> @t7 @t54)))
% 0.61/0.89  (assume-push @p314 @t7)
% 0.61/0.89  (step @p54 :rule instantiate :premises (@p2) :args (@t55))
% 0.61/0.89  (step-pop @p315 :rule scope :premises (@p54))
% 0.61/0.89  (step @p55 :rule process_scope :premises (@p315) :args (@t54))
% 0.61/0.89  (step @p57 :rule eq_resolve :premises (@p55 @p52))
% 0.61/0.89  (step @p58 :rule implies_elim :premises (@p57))
% 0.61/0.89  (step @p59 :rule chain_m_resolution :premises (@p58 @p2) :args (@t56 @t48 @t49))
% 0.61/0.89  (step @p60 :rule eq-symm :args (@t9 @t1))
% 0.61/0.89  (step @p61 :rule cong :premises (@p60) :args (@t10))
% 0.61/0.89  (step @p62 :rule eq_resolve :premises (@p4 @p61))
% 0.61/0.89  (step @p63 :rule instantiate :premises (@p62) :args ((@list @t36)))
% 0.61/0.89  (step @p64 :rule eq-symm :args (@t14 @t1))
% 0.61/0.89  (step @p65 :rule cong :premises (@p64) :args (@t15))
% 0.61/0.89  (step @p66 :rule eq_resolve :premises (@p6 @p65))
% 0.61/0.89  (step @p67 :rule instantiate :premises (@p66) :args (@t57))
% 0.61/0.89  (step @p68 :rule eq-symm :args (@t16 @t1))
% 0.61/0.89  (step @p69 :rule cong :premises (@p68) :args (@t17))
% 0.61/0.89  (step @p70 :rule eq_resolve :premises (@p7 @p69))
% 0.61/0.89  (step @p71 :rule instantiate :premises (@p70) :args (@t57))
% 0.61/0.89  (step @p72 :rule instantiate :premises (@p9) :args ((@list tptp.one @t43 @t29)))
% 0.61/0.89  (step @p73 :rule instantiate :premises (@p23) :args ((@list @t58 @t30)))
% 0.61/0.89  (step @p74 :rule bool-impl-elim :args (@t25 @t23))
% 0.61/0.89  (step @p75 :rule cong :premises (@p74) :args (@t26))
% 0.61/0.89  (step @p76 :rule eq_resolve :premises (@p15 @p75))
% 0.61/0.89  (step @p77 :rule instantiate :premises (@p76) :args ((@list @t29 @t30 tptp.one)))
% 0.61/0.89  (step @p78 :rule instantiate :premises (@p13) :args (@t37))
% 0.61/0.89  (step @p79 :rule true_intro :premises (@p78))
% 0.61/0.89  (step @p80 :rule refl :args (@t30))
% 0.61/0.89  (step @p81 :rule instantiate :premises (@p1) :args ((@list tptp.one @t59)))
% 0.61/0.89  (step @p82 :rule symm :premises (@p81))
% 0.61/0.89  (step @p83 :rule cong :premises (@p82 @p80) :args (@t60))
% 0.61/0.89  (step @p84 :rule trans :premises (@p83 @p79))
% 0.61/0.89  (step @p85 :rule true_elim :premises (@p84))
% 0.61/0.89  (step @p86 :rule cnf_or_pos :args (@t63))
% 0.61/0.89  (step @p87 :rule reordering :premises (@p86) :args ((or @t62 @t61 (not @t63))))
% 0.61/0.89  (step @p88 :rule chain_m_resolution :premises (@p87 @p85 @p77) :args (@t61 @t42 (@list @t60 @t63)))
% 0.61/0.89  (step @p89 :rule cnf_equiv_pos1 :args (@t65))
% 0.61/0.89  (step @p90 :rule reordering :premises (@p89) :args ((or (not @t61) @t64 (not @t65))))
% 0.61/0.89  (step @p91 :rule chain_m_resolution :premises (@p90 @p88 @p73) :args (@t64 @t42 (@list @t61 @t65)))
% 0.61/0.89  (step @p92 :rule instantiate :premises (@p1) :args ((@list @t50 tptp.one)))
% 0.61/0.89  (step @p93 :rule instantiate :premises (@p1) :args ((@list @t66 @t43)))
% 0.61/0.89  (step @p94 :rule instantiate :premises (@p1) :args ((@list @t35 @t36)))
% 0.61/0.89  (step @p95 :rule instantiate :premises (@p1) :args ((@list @t51 @t43)))
% 0.61/0.89  (step @p96 :rule instantiate :premises (@p1) :args ((@list @t67 @t43)))
% 0.61/0.89  (step @p97 :rule instantiate :premises (@p1) :args ((@list @t43 @t29)))
% 0.61/0.89  (step @p98 :rule instantiate :premises (@p2) :args ((@list @t69 @t68 @t30)))
% 0.61/0.89  (step @p99 :rule instantiate :premises (@p2) :args ((@list @t36 @t69 @t68)))
% 0.61/0.89  (step @p100 :rule instantiate :premises (@p2) :args ((@list @t29 @t43 @t51)))
% 0.61/0.89  (step @p101 :rule instantiate :premises (@p66) :args ((@list @t43)))
% 0.61/0.89  (step @p102 :rule instantiate :premises (@p70) :args (@t37))
% 0.61/0.89  (step @p103 :rule instantiate :premises (@p9) :args ((@list @t70 @t30 @t29)))
% 0.61/0.89  (step @p104 :rule instantiate :premises (@p9) :args ((@list tptp.one @t52 @t29)))
% 0.61/0.89  (step @p105 :rule instantiate :premises (@p1) :args ((@list @t71 @t69)))
% 0.61/0.89  (step @p106 :rule instantiate :premises (@p1) :args ((@list @t51 @t72)))
% 0.61/0.89  (step @p107 :rule eq-symm :args (@t74 @t75))
% 0.61/0.89  (step @p108 :rule cong :premises (@p37 @p107) :args ((=> @t7 @t76)))
% 0.61/0.89  (assume-push @p316 @t7)
% 0.61/0.89  (step @p110 :rule instantiate :premises (@p2) :args ((@list @t35 @t35 tptp.one)))
% 0.61/0.89  (step-pop @p317 :rule scope :premises (@p110))
% 0.61/0.89  (step @p111 :rule process_scope :premises (@p317) :args (@t76))
% 0.61/0.89  (step @p113 :rule eq_resolve :premises (@p111 @p108))
% 0.61/0.89  (step @p114 :rule implies_elim :premises (@p113))
% 0.61/0.89  (step @p115 :rule chain_m_resolution :premises (@p114 @p2) :args (@t77 @t48 @t49))
% 0.61/0.89  (step @p116 :rule instantiate :premises (@p2) :args ((@list @t78 @t68 @t43)))
% 0.61/0.89  (step @p117 :rule refl :args (@t84))
% 0.61/0.89  (step @p118 :rule refl :args (@t85))
% 0.61/0.89  (step @p119 :rule refl :args (@t88))
% 0.61/0.89  (step @p120 :rule refl :args (@t91))
% 0.61/0.89  (step @p121 :rule refl :args (@t94))
% 0.61/0.89  (step @p122 :rule refl :args (@t98))
% 0.61/0.89  (step @p123 :rule refl :args (@t100))
% 0.61/0.89  (step @p124 :rule refl :args (@t103))
% 0.61/0.89  (step @p125 :rule refl :args (@t107))
% 0.61/0.89  (step @p126 :rule refl :args (@t112))
% 0.61/0.89  (step @p127 :rule refl :args (@t115))
% 0.61/0.89  (step @p128 :rule refl :args (@t118))
% 0.61/0.89  (step @p129 :rule refl :args (@t121))
% 0.61/0.89  (step @p130 :rule refl :args (@t123))
% 0.61/0.89  (step @p131 :rule refl :args (@t125))
% 0.61/0.89  (step @p132 :rule refl :args (@t129))
% 0.61/0.89  (step @p133 :rule refl :args (@t131))
% 0.61/0.89  (step @p134 :rule refl :args (@t132))
% 0.61/0.89  (step @p135 :rule refl :args (@t135))
% 0.61/0.89  (step @p136 :rule refl :args (@t137))
% 0.61/0.89  (step @p137 :rule refl :args (@t139))
% 0.61/0.89  (step @p138 :rule refl :args (@t141))
% 0.61/0.89  (step @p139 :rule refl :args (@t142))
% 0.61/0.89  (step @p140 :rule refl :args (@t146))
% 0.61/0.89  (step @p141 :rule refl :args (@t149))
% 0.61/0.89  (step @p142 :rule refl :args (@t151))
% 0.61/0.89  (step @p143 :rule refl :args (@t153))
% 0.61/0.89  (step @p144 :rule refl :args (@t156))
% 0.61/0.89  (step @p145 :rule refl :args (@t157))
% 0.61/0.89  (step @p146 :rule refl :args (@t160))
% 0.61/0.89  (step @p147 :rule refl :args (@t161))
% 0.61/0.89  (step @p148 :rule refl :args (@t163))
% 0.61/0.89  (step @p149 :rule bool-double-not-elim :args (@t31))
% 0.61/0.89  (step @p150 :rule nary_cong :premises (@p149 @p148 @p147 @p146 @p145 @p144 @p143 @p142 @p141 @p140 @p139 @p138 @p137 @p136 @p135 @p134 @p133 @p132 @p131 @p130 @p129 @p128 @p127 @p126 @p125 @p124 @p123 @p122 @p121 @p120 @p119 @p118 @p117) :args ((or (not @t34) @t163 @t161 @t160 @t157 @t156 @t153 @t151 @t149 @t146 @t142 @t141 @t139 @t137 @t135 @t132 @t131 @t129 @t125 @t123 @t121 @t118 @t115 @t112 @t107 @t103 @t100 @t98 @t94 @t91 @t88 @t85 @t84)))
% 0.61/0.89  (assume-push @p318 @t34)
% 0.61/0.89  (assume-push @p319 @t162)
% 0.61/0.89  (assume-push @p320 @t39)
% 0.61/0.89  (assume-push @p321 @t159)
% 0.61/0.89  (assume-push @p322 @t47)
% 0.61/0.89  (assume-push @p323 @t155)
% 0.61/0.89  (assume-push @p324 @t152)
% 0.61/0.89  (assume-push @p325 @t150)
% 0.61/0.89  (assume-push @p326 @t148)
% 0.61/0.89  (assume-push @p327 @t145)
% 0.61/0.89  (assume-push @p328 @t56)
% 0.61/0.89  (assume-push @p329 @t140)
% 0.61/0.89  (assume-push @p330 @t138)
% 0.61/0.89  (assume-push @p331 @t136)
% 0.61/0.89  (assume-push @p332 @t134)
% 0.61/0.89  (assume-push @p333 @t64)
% 0.61/0.89  (assume-push @p334 @t130)
% 0.61/0.89  (assume-push @p335 @t128)
% 0.61/0.89  (assume-push @p336 @t124)
% 0.61/0.89  (assume-push @p337 @t122)
% 0.61/0.89  (assume-push @p338 @t120)
% 0.61/0.89  (assume-push @p339 @t117)
% 0.61/0.89  (assume-push @p340 @t114)
% 0.61/0.89  (assume-push @p341 @t111)
% 0.61/0.89  (assume-push @p342 @t106)
% 0.61/0.89  (assume-push @p343 @t102)
% 0.61/0.89  (assume-push @p344 @t99)
% 0.61/0.89  (assume-push @p345 @t97)
% 0.61/0.89  (assume-push @p346 @t93)
% 0.61/0.89  (assume-push @p347 @t90)
% 0.61/0.89  (assume-push @p348 @t87)
% 0.61/0.89  (assume-push @p349 @t77)
% 0.61/0.89  (step @p183 :rule false_intro :premises (@p28))
% 0.61/0.89  (step @p184 :rule symm :premises (@p91))
% 0.61/0.89  (step @p185 :rule symm :premises (@p71))
% 0.61/0.89  (step @p186 :rule trans :premises (@p185 @p67))
% 0.61/0.89  (step @p187 :rule cong :premises (@p186 @p80) :args (@t95))
% 0.61/0.89  (step @p188 :rule trans :premises (@p187 @p184))
% 0.61/0.89  (step @p189 :rule refl :args (@t29))
% 0.61/0.89  (step @p190 :rule cong :premises (@p189 @p188) :args ((tptp.addition @t29 @t95)))
% 0.61/0.89  (step @p191 :rule symm :premises (@p187))
% 0.61/0.89  (step @p192 :rule symm :premises (@p34))
% 0.61/0.89  (step @p193 :rule refl :args (@t36))
% 0.61/0.89  (step @p194 :rule cong :premises (@p193 @p192) :args (@t158))
% 0.61/0.89  (step @p195 :rule symm :premises (@p35))
% 0.61/0.89  (step @p40 :rule instantiate :premises (@p2) :args (@t46))
% 0.61/0.89  (step @p196 :rule trans :premises (@p40 @p192))
% 0.61/0.89  (step @p197 :rule refl :args (@t50))
% 0.61/0.89  (step @p198 :rule cong :premises (@p197 @p196) :args (@t147))
% 0.61/0.89  (step @p199 :rule symm :premises (@p49))
% 0.61/0.89  (step @p200 :rule symm :premises (@p96))
% 0.61/0.89  (step @p201 :rule refl :args (@t67))
% 0.61/0.89  (step @p202 :rule symm :premises (@p101))
% 0.61/0.89  (step @p203 :rule cong :premises (@p202 @p201) :args ((tptp.addition @t101 @t67)))
% 0.61/0.89  (step @p204 :rule symm :premises (@p92))
% 0.61/0.89  (step @p205 :rule symm :premises (@p29))
% 0.61/0.89  (step @p206 :rule trans :premises (@p205 @p63))
% 0.61/0.89  (step @p207 :rule refl :args (tptp.one))
% 0.61/0.89  (step @p208 :rule cong :premises (@p207 @p206) :args ((tptp.addition tptp.one @t66)))
% 0.61/0.89  (step @p209 :rule cong :premises (@p188 @p189) :args (@t96))
% 0.61/0.89  (step @p210 :rule symm :premises (@p103))
% 0.61/0.89  (step @p211 :rule refl :args (@t35))
% 0.61/0.89  (step @p212 :rule cong :premises (@p71 @p189) :args (@t35))
% 0.61/0.89  (step @p213 :rule cong :premises (@p212 @p211) :args (@t73))
% 0.61/0.89  (step @p214 :rule trans :premises (@p213 @p210 @p209))
% 0.61/0.89  (step @p215 :rule cong :premises (@p207 @p214) :args (@t74))
% 0.61/0.89  (step @p216 :rule cong :premises (@p196 @p189) :args (@t133))
% 0.61/0.89  (step @p217 :rule symm :premises (@p72))
% 0.61/0.89  (step @p218 :rule trans :premises (@p217 @p216))
% 0.61/0.89  (step @p219 :rule cong :premises (@p218 @p193) :args (@t109))
% 0.61/0.89  (step @p220 :rule trans :premises (@p99 @p219 @p94 @p115 @p215 @p29))
% 0.61/0.89  (step @p221 :rule cong :premises (@p207 @p220) :args ((tptp.addition tptp.one @t110)))
% 0.61/0.89  (step @p222 :rule symm :premises (@p99))
% 0.61/0.89  (step @p223 :rule symm :premises (@p219))
% 0.61/0.89  (step @p224 :rule trans :premises (@p223 @p222))
% 0.61/0.89  (step @p225 :rule cong :premises (@p207 @p224) :args (@t53))
% 0.61/0.89  (step @p226 :rule trans :premises (@p63 @p59 @p225 @p221 @p208 @p204))
% 0.61/0.89  (step @p227 :rule cong :premises (@p101 @p226) :args ((tptp.addition @t43 @t36)))
% 0.61/0.89  (step @p228 :rule symm :premises (@p47))
% 0.61/0.89  (step @p229 :rule cong :premises (@p80 @p218) :args (@t113))
% 0.61/0.89  (step @p230 :rule symm :premises (@p98))
% 0.61/0.89  (step @p231 :rule symm :premises (@p105))
% 0.61/0.89  (step @p232 :rule cong :premises (@p192 @p102) :args ((tptp.addition @t38 @t29)))
% 0.61/0.89  (step @p233 :rule cong :premises (@p34 @p189) :args (@t164))
% 0.61/0.89  (step @p234 :rule trans :premises (@p233 @p232))
% 0.61/0.89  (step @p235 :rule refl :args (@t69))
% 0.61/0.89  (step @p236 :rule cong :premises (@p235 @p234) :args (@t165))
% 0.61/0.89  (step @p237 :rule trans :premises (@p236 @p231 @p230 @p229 @p228))
% 0.61/0.89  (step @p238 :rule cong :premises (@p237 @p193) :args (@t166))
% 0.61/0.89  (step @p239 :rule trans :premises (@p238 @p227 @p203 @p200 @p199 @p198 @p195 @p194 @p192 @p91 @p191))
% 0.61/0.89  (step @p240 :rule symm :premises (@p102))
% 0.61/0.89  (step @p241 :rule cong :premises (@p240 @p239) :args ((tptp.addition @t68 @t166)))
% 0.61/0.89  (step @p242 :rule symm :premises (@p238))
% 0.61/0.89  (step @p243 :rule refl :args (@t43))
% 0.61/0.89  (step @p244 :rule cong :premises (@p243 @p205) :args (@t126))
% 0.61/0.89  (step @p245 :rule symm :premises (@p196))
% 0.61/0.89  (step @p246 :rule cong :premises (@p211 @p245) :args (@t43))
% 0.61/0.89  (step @p247 :rule trans :premises (@p246 @p48 @p93 @p244 @p242))
% 0.61/0.89  (step @p248 :rule cong :premises (@p102 @p247) :args (@t116))
% 0.61/0.89  (step @p249 :rule cong :premises (@p192 @p189) :args (@t154))
% 0.61/0.89  (step @p250 :rule symm :premises (@p46))
% 0.61/0.89  (step @p251 :rule trans :premises (@p250 @p249))
% 0.61/0.89  (step @p252 :rule cong :premises (@p251 @p80) :args (@t144))
% 0.61/0.89  (step @p253 :rule trans :premises (@p50 @p252))
% 0.61/0.89  (step @p254 :rule cong :premises (@p253 @p189) :args (@t105))
% 0.61/0.89  (step @p255 :rule symm :premises (@p106))
% 0.61/0.89  (step @p256 :rule trans :premises (@p99 @p219 @p94 @p115 @p215))
% 0.61/0.89  (step @p257 :rule cong :premises (@p256 @p189) :args ((tptp.multiplication @t110 @t29)))
% 0.61/0.89  (step @p258 :rule cong :premises (@p224 @p189) :args (@t78))
% 0.61/0.89  (step @p259 :rule trans :premises (@p258 @p257))
% 0.61/0.89  (step @p260 :rule cong :premises (@p243 @p240) :args (@t79))
% 0.61/0.89  (step @p261 :rule cong :premises (@p260 @p259) :args (@t80))
% 0.61/0.89  (step @p262 :rule trans :premises (@p261 @p255 @p100 @p254 @p97 @p248 @p241 @p190))
% 0.61/0.89  (step @p263 :rule symm :premises (@p95))
% 0.61/0.89  (step @p264 :rule symm :premises (@p63))
% 0.61/0.89  (step @p54 :rule instantiate :premises (@p2) :args (@t55))
% 0.61/0.89  (step @p265 :rule trans :premises (@p54 @p264))
% 0.61/0.89  (step @p266 :rule cong :premises (@p265 @p189) :args (@t92))
% 0.61/0.89  (step @p267 :rule symm :premises (@p104))
% 0.61/0.89  (step @p268 :rule trans :premises (@p267 @p266))
% 0.61/0.89  (step @p269 :rule cong :premises (@p243 @p268) :args (@t82))
% 0.61/0.89  (step @p270 :rule trans :premises (@p269 @p263 @p50 @p252 @p246 @p48 @p93 @p244 @p227 @p203 @p200 @p199 @p198 @p195 @p194 @p192))
% 0.61/0.89  (step @p271 :rule cong :premises (@p270 @p262) :args (@t83))
% 0.61/0.89  (step @p272 :rule trans :premises (@p271 @p183))
% 0.61/0.89  (step @p273 :rule false_elim :premises (@p272))
% 0.61/0.89  (step-pop @p350 :rule scope :premises (@p273))
% 0.61/0.89  (step-pop @p351 :rule scope :premises (@p350))
% 0.61/0.89  (step-pop @p352 :rule scope :premises (@p351))
% 0.61/0.89  (step-pop @p353 :rule scope :premises (@p352))
% 0.61/0.89  (step-pop @p354 :rule scope :premises (@p353))
% 0.61/0.89  (step-pop @p355 :rule scope :premises (@p354))
% 0.61/0.89  (step-pop @p356 :rule scope :premises (@p355))
% 0.61/0.89  (step-pop @p357 :rule scope :premises (@p356))
% 0.61/0.89  (step-pop @p358 :rule scope :premises (@p357))
% 0.61/0.89  (step-pop @p359 :rule scope :premises (@p358))
% 0.61/0.89  (step-pop @p360 :rule scope :premises (@p359))
% 0.61/0.89  (step-pop @p361 :rule scope :premises (@p360))
% 0.61/0.89  (step-pop @p362 :rule scope :premises (@p361))
% 0.61/0.89  (step-pop @p363 :rule scope :premises (@p362))
% 0.61/0.89  (step-pop @p364 :rule scope :premises (@p363))
% 0.61/0.89  (step-pop @p365 :rule scope :premises (@p364))
% 0.61/0.89  (step-pop @p366 :rule scope :premises (@p365))
% 0.61/0.89  (step-pop @p367 :rule scope :premises (@p366))
% 0.61/0.89  (step-pop @p368 :rule scope :premises (@p367))
% 0.61/0.89  (step-pop @p369 :rule scope :premises (@p368))
% 0.61/0.89  (step-pop @p370 :rule scope :premises (@p369))
% 0.61/0.89  (step-pop @p371 :rule scope :premises (@p370))
% 0.61/0.89  (step-pop @p372 :rule scope :premises (@p371))
% 0.61/0.89  (step-pop @p373 :rule scope :premises (@p372))
% 0.61/0.89  (step-pop @p374 :rule scope :premises (@p373))
% 0.61/0.89  (step-pop @p375 :rule scope :premises (@p374))
% 0.61/0.89  (step-pop @p376 :rule scope :premises (@p375))
% 0.61/0.89  (step-pop @p377 :rule scope :premises (@p376))
% 0.61/0.89  (step-pop @p378 :rule scope :premises (@p377))
% 0.61/0.89  (step-pop @p379 :rule scope :premises (@p378))
% 0.61/0.89  (step-pop @p380 :rule scope :premises (@p379))
% 0.61/0.89  (step-pop @p381 :rule scope :premises (@p380))
% 0.61/0.89  (step @p274 :rule process_scope :premises (@p381) :args (@t84))
% 0.61/0.89  (step @p307 :rule implies_elim :premises (@p274))
% 0.61/0.89  (step @p308 :rule cnf_and_neg :args (@t167))
% 0.61/0.89  (step @p309 :rule resolution :premises (@p308 @p307) :args (true @t167))
% 0.61/0.89  (step @p310 :rule eq_resolve :premises (@p309 @p150))
% 0.61/0.89  (step @p311 false :rule chain_m_resolution :premises (@p310 @p116 @p115 @p106 @p105 @p104 @p103 @p102 @p101 @p100 @p99 @p98 @p97 @p96 @p95 @p94 @p93 @p92 @p91 @p72 @p71 @p67 @p63 @p59 @p50 @p49 @p48 @p47 @p46 @p45 @p35 @p34 @p29 @p28) :args (false (@list false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false true) (@list @t83 @t77 @t87 @t90 @t93 @t97 @t99 @t102 @t106 @t111 @t114 @t117 @t120 @t122 @t124 @t128 @t130 @t64 @t134 @t136 @t138 @t140 @t56 @t145 @t148 @t150 @t152 @t155 @t47 @t159 @t39 @t162 @t31)))
% 0.61/0.89  )
% 0.61/0.89  % SZS output end Proof
% 0.61/0.89  % cvc5 exiting
%------------------------------------------------------------------------------