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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SET169+3 : TPTP v9.2.1. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Jun  3 08:47:33 AM UTC 2026

% Result   : Theorem 1.33s 1.57s
% Output   : Proof 1.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET169+3 : TPTP v9.2.1. Released v2.2.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.35  % Computer : n008.cluster.edu
% 0.18/0.35  % Model    : x86_64 x86_64
% 0.18/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35  % Memory   : 8042.1875MB
% 0.18/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35  % CPULimit : 300
% 0.18/0.35  % WCLimit  : 300
% 0.18/0.35  % DateTime : Tue Jun  2 15:05:48 EDT 2026
% 0.18/0.35  % CPUTime  : 
% 0.28/0.50  %----Proving TF0_NAR, FOF, or CNF
% 1.33/1.57  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 1.33/1.57  % SZS status Theorem
% 1.33/1.57  % SZS output start Proof
% 1.33/1.57  (
% 1.33/1.57  (declare-sort $$unsorted 0)
% 1.33/1.57  (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted))
% 1.33/1.57  (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted))
% 1.33/1.57  (declare-const tptp.subset (-> $$unsorted $$unsorted Bool))
% 1.33/1.57  (declare-const tptp.member (-> $$unsorted $$unsorted Bool))
% 1.33/1.57  (define @t1 () (@var "C" $$unsorted))
% 1.33/1.57  (define @t2 () (@var "D" $$unsorted))
% 1.33/1.57  (define @t3 () (tptp.member @t2 @t1))
% 1.33/1.57  (define @t4 () (@var "B" $$unsorted))
% 1.33/1.57  (define @t5 () (tptp.member @t2 @t4))
% 1.33/1.57  (define @t6 () (tptp.union @t4 @t1))
% 1.33/1.57  (define @t7 () (@list @t4 @t1 @t2))
% 1.33/1.57  (define @t8 () (tptp.intersection @t4 @t1))
% 1.33/1.57  (define @t9 () (tptp.subset @t4 @t1))
% 1.33/1.57  (define @t10 () (= @t4 @t1))
% 1.33/1.57  (define @t11 () (@list @t4 @t1))
% 1.33/1.57  (define @t12 () (@list @t2))
% 1.33/1.57  (define @t13 () (forall @t11 (= @t10 (forall @t12 (= @t5 @t3)))))
% 1.33/1.57  (define @t14 () (forall @t7 (= (tptp.intersection @t4 (tptp.union @t1 @t2)) (tptp.union @t8 (tptp.intersection @t4 @t2)))))
% 1.33/1.57  (define @t15 () (@quantifiers_skolemize @t14 2))
% 1.33/1.57  (define @t16 () (@quantifiers_skolemize @t14 1))
% 1.33/1.57  (define @t17 () (tptp.union @t16 @t15))
% 1.33/1.57  (define @t18 () (@quantifiers_skolemize @t14 0))
% 1.33/1.57  (define @t19 () (tptp.intersection @t18 @t17))
% 1.33/1.57  (define @t20 () (tptp.member @t2 @t19))
% 1.33/1.57  (define @t21 () (tptp.intersection @t18 @t15))
% 1.33/1.57  (define @t22 () (tptp.intersection @t18 @t16))
% 1.33/1.57  (define @t23 () (tptp.union @t22 @t21))
% 1.33/1.57  (define @t24 () (forall @t12 (= (tptp.member @t2 @t23) @t20)))
% 1.33/1.57  (define @t25 () (@quantifiers_skolemize @t24 0))
% 1.33/1.57  (define @t26 () (= (= @t23 @t19) @t24))
% 1.33/1.57  (define @t27 () (= @t19 @t23))
% 1.33/1.57  (define @t28 () (= @t27 @t24))
% 1.33/1.57  (define @t29 () (@list false))
% 1.33/1.57  (define @t30 () (not @t24))
% 1.33/1.57  (define @t31 () (@list true false))
% 1.33/1.57  (define @t32 () (tptp.member @t25 @t19))
% 1.33/1.57  (define @t33 () (tptp.member @t25 @t23))
% 1.33/1.57  (define @t34 () (= @t33 @t32))
% 1.33/1.57  (define @t35 () (not (tptp.member @t2 @t21)))
% 1.33/1.57  (define @t36 () (forall @t12 (or @t35 @t20)))
% 1.33/1.57  (define @t37 () (@quantifiers_skolemize @t36 0))
% 1.33/1.57  (define @t38 () (tptp.member @t37 @t21))
% 1.33/1.57  (define @t39 () (tptp.member @t37 @t19))
% 1.33/1.57  (define @t40 () (not @t38))
% 1.33/1.57  (define @t41 () (or @t40 @t39))
% 1.33/1.57  (define @t42 () (tptp.member @t37 @t18))
% 1.33/1.57  (define @t43 () (and @t42 (tptp.member @t37 @t15)))
% 1.33/1.57  (define @t44 () (= @t38 @t43))
% 1.33/1.57  (define @t45 () (tptp.member @t2 @t17))
% 1.33/1.57  (define @t46 () (forall @t12 (or @t35 @t45)))
% 1.33/1.57  (define @t47 () (@quantifiers_skolemize @t46 0))
% 1.33/1.57  (define @t48 () (tptp.member @t47 @t21))
% 1.33/1.57  (define @t49 () (tptp.member @t47 @t17))
% 1.33/1.57  (define @t50 () (not @t48))
% 1.33/1.57  (define @t51 () (or @t50 @t49))
% 1.33/1.57  (define @t52 () (tptp.member @t47 @t15))
% 1.33/1.57  (define @t53 () (and (tptp.member @t47 @t18) @t52))
% 1.33/1.57  (define @t54 () (= @t48 @t53))
% 1.33/1.57  (define @t55 () (forall @t12 (or (not (tptp.member @t2 @t15)) @t45)))
% 1.33/1.57  (define @t56 () (@quantifiers_skolemize @t55 0))
% 1.33/1.57  (define @t57 () (tptp.member @t56 @t15))
% 1.33/1.57  (define @t58 () (tptp.member @t56 @t17))
% 1.33/1.57  (define @t59 () (not @t57))
% 1.33/1.57  (define @t60 () (or @t59 @t58))
% 1.33/1.57  (define @t61 () (or (tptp.member @t56 @t16) @t57))
% 1.33/1.57  (define @t62 () (= @t58 @t61))
% 1.33/1.57  (define @t63 () (@list false false true false))
% 1.33/1.57  (define @t64 () (not @t60))
% 1.33/1.57  (define @t65 () (not @t55))
% 1.33/1.57  (define @t66 () (not @t52))
% 1.33/1.57  (define @t67 () (or @t66 @t49))
% 1.33/1.57  (define @t68 () (not @t51))
% 1.33/1.57  (define @t69 () (not @t46))
% 1.33/1.57  (define @t70 () (tptp.member @t37 @t17))
% 1.33/1.57  (define @t71 () (or @t40 @t70))
% 1.33/1.57  (define @t72 () (and @t42 @t70))
% 1.33/1.57  (define @t73 () (= @t39 @t72))
% 1.33/1.57  (define @t74 () (not @t41))
% 1.33/1.57  (define @t75 () (not @t36))
% 1.33/1.57  (define @t76 () (@list @t25))
% 1.33/1.57  (define @t77 () (tptp.member @t25 @t21))
% 1.33/1.57  (define @t78 () (not @t77))
% 1.33/1.57  (define @t79 () (or @t78 @t32))
% 1.33/1.57  (define @t80 () (not (tptp.member @t2 @t22)))
% 1.33/1.57  (define @t81 () (forall @t12 (or @t80 @t45)))
% 1.33/1.57  (define @t82 () (@quantifiers_skolemize @t81 0))
% 1.33/1.57  (define @t83 () (tptp.member @t82 @t22))
% 1.33/1.57  (define @t84 () (tptp.member @t82 @t17))
% 1.33/1.57  (define @t85 () (not @t83))
% 1.33/1.57  (define @t86 () (or @t85 @t84))
% 1.33/1.57  (define @t87 () (tptp.member @t2 @t16))
% 1.33/1.57  (define @t88 () (forall @t12 (or @t80 @t87)))
% 1.33/1.57  (define @t89 () (@quantifiers_skolemize @t88 0))
% 1.33/1.57  (define @t90 () (tptp.member @t89 @t22))
% 1.33/1.57  (define @t91 () (tptp.member @t89 @t16))
% 1.33/1.57  (define @t92 () (not @t90))
% 1.33/1.57  (define @t93 () (or @t92 @t91))
% 1.33/1.57  (define @t94 () (and (tptp.member @t89 @t18) @t91))
% 1.33/1.57  (define @t95 () (= @t90 @t94))
% 1.33/1.57  (define @t96 () (not @t93))
% 1.33/1.57  (define @t97 () (not @t88))
% 1.33/1.57  (define @t98 () (@list @t82))
% 1.33/1.57  (define @t99 () (tptp.member @t82 @t16))
% 1.33/1.57  (define @t100 () (or @t85 @t99))
% 1.33/1.57  (define @t101 () (forall @t12 (or (not @t87) @t45)))
% 1.33/1.57  (define @t102 () (@quantifiers_skolemize @t101 0))
% 1.33/1.57  (define @t103 () (tptp.member @t102 @t16))
% 1.33/1.57  (define @t104 () (tptp.member @t102 @t17))
% 1.33/1.57  (define @t105 () (not @t103))
% 1.33/1.57  (define @t106 () (or @t105 @t104))
% 1.33/1.57  (define @t107 () (or @t103 (tptp.member @t102 @t15)))
% 1.33/1.57  (define @t108 () (= @t104 @t107))
% 1.33/1.57  (define @t109 () (not @t106))
% 1.33/1.57  (define @t110 () (not @t101))
% 1.33/1.57  (define @t111 () (not @t99))
% 1.33/1.57  (define @t112 () (or @t111 @t84))
% 1.33/1.57  (define @t113 () (not @t86))
% 1.33/1.57  (define @t114 () (not @t81))
% 1.33/1.57  (define @t115 () (forall @t12 (or @t80 @t20)))
% 1.33/1.57  (define @t116 () (@quantifiers_skolemize @t115 0))
% 1.33/1.57  (define @t117 () (@list @t116))
% 1.33/1.57  (define @t118 () (tptp.member @t116 @t17))
% 1.33/1.57  (define @t119 () (tptp.member @t116 @t22))
% 1.33/1.57  (define @t120 () (not @t119))
% 1.33/1.57  (define @t121 () (or @t120 @t118))
% 1.33/1.57  (define @t122 () (tptp.member @t116 @t19))
% 1.33/1.57  (define @t123 () (or @t120 @t122))
% 1.33/1.57  (define @t124 () (forall @t12 (or @t80 (tptp.member @t2 @t18))))
% 1.33/1.57  (define @t125 () (@quantifiers_skolemize @t124 0))
% 1.33/1.57  (define @t126 () (tptp.member @t125 @t22))
% 1.33/1.57  (define @t127 () (tptp.member @t125 @t18))
% 1.33/1.57  (define @t128 () (not @t126))
% 1.33/1.57  (define @t129 () (or @t128 @t127))
% 1.33/1.57  (define @t130 () (and @t127 (tptp.member @t125 @t16)))
% 1.33/1.57  (define @t131 () (= @t126 @t130))
% 1.33/1.57  (define @t132 () (not @t129))
% 1.33/1.57  (define @t133 () (not @t124))
% 1.33/1.57  (define @t134 () (tptp.member @t116 @t18))
% 1.33/1.57  (define @t135 () (or @t120 @t134))
% 1.33/1.57  (define @t136 () (not @t121))
% 1.33/1.57  (define @t137 () (and @t134 @t118))
% 1.33/1.57  (define @t138 () (= @t122 @t137))
% 1.33/1.57  (define @t139 () (not @t123))
% 1.33/1.57  (define @t140 () (not @t115))
% 1.33/1.57  (define @t141 () (tptp.member @t25 @t22))
% 1.33/1.57  (define @t142 () (not @t141))
% 1.33/1.57  (define @t143 () (or @t142 @t32))
% 1.33/1.57  (define @t144 () (or @t141 @t77))
% 1.33/1.57  (define @t145 () (= @t33 @t144))
% 1.33/1.57  (define @t146 () (not @t145))
% 1.33/1.57  (define @t147 () (not @t33))
% 1.33/1.57  (define @t148 () (not @t144))
% 1.33/1.57  (define @t149 () (tptp.member @t25 @t17))
% 1.33/1.57  (define @t150 () (tptp.member @t25 @t18))
% 1.33/1.57  (define @t151 () (and @t150 @t149))
% 1.33/1.57  (define @t152 () (= @t32 @t151))
% 1.33/1.57  (define @t153 () (@list false false))
% 1.33/1.57  (define @t154 () (not @t151))
% 1.33/1.57  (define @t155 () (@list @t151))
% 1.33/1.57  (define @t156 () (tptp.member @t25 @t15))
% 1.33/1.57  (define @t157 () (tptp.member @t25 @t16))
% 1.33/1.57  (define @t158 () (or @t157 @t156))
% 1.33/1.57  (define @t159 () (= @t149 @t158))
% 1.33/1.57  (define @t160 () (@list true))
% 1.33/1.57  (define @t161 () (@list @t144))
% 1.33/1.57  (define @t162 () (and @t150 @t156))
% 1.33/1.57  (define @t163 () (= @t77 @t162))
% 1.33/1.57  (define @t164 () (not @t162))
% 1.33/1.57  (define @t165 () (not @t156))
% 1.33/1.57  (define @t166 () (not @t150))
% 1.33/1.57  (define @t167 () (@list false true))
% 1.33/1.57  (define @t168 () (and @t150 @t157))
% 1.33/1.57  (define @t169 () (= @t141 @t168))
% 1.33/1.57  (define @t170 () (not @t168))
% 1.33/1.57  (define @t171 () (not @t157))
% 1.33/1.57  (assume @p1 (forall @t7 (= (tptp.member @t2 @t6) (or @t5 @t3))))
% 1.33/1.57  (assume @p2 (forall @t7 (= (tptp.member @t2 @t8) (and @t5 @t3))))
% 1.33/1.57  (assume @p3 (forall @t11 (= @t10 (and @t9 (tptp.subset @t1 @t4)))))
% 1.33/1.57  (assume @p4 (forall @t11 (= @t6 (tptp.union @t1 @t4))))
% 1.33/1.57  (assume @p5 (forall @t11 (= @t8 (tptp.intersection @t1 @t4))))
% 1.33/1.57  (assume @p6 (forall @t11 (= @t9 (forall @t12 (=> @t5 @t3)))))
% 1.33/1.57  (assume @p7 (forall (@list @t4) (tptp.subset @t4 @t4)))
% 1.33/1.57  (assume @p8 @t13)
% 1.33/1.57  (assume @p9 (not @t14))
% 1.33/1.57  (assume @p10 true)
% 1.33/1.57  (step @p11 :rule instantiate :premises (@p1) :args ((@list @t16 @t15 @t25)))
% 1.33/1.57  (step @p12 :rule instantiate :premises (@p2) :args ((@list @t18 @t17 @t25)))
% 1.33/1.57  (step @p13 :rule refl :args (@t24))
% 1.33/1.57  (step @p14 :rule eq-symm :args (@t23 @t19))
% 1.33/1.57  (step @p15 :rule cong :premises (@p14 @p13) :args (@t26))
% 1.33/1.57  (step @p16 :rule refl :args (@t13))
% 1.33/1.57  (step @p17 :rule cong :premises (@p16 @p15) :args ((=> @t13 @t26)))
% 1.33/1.57  (assume-push @p323 @t13)
% 1.33/1.57  (step @p19 :rule instantiate :premises (@p8) :args ((@list @t23 @t19)))
% 1.33/1.57  (step-pop @p324 :rule scope :premises (@p19))
% 1.33/1.57  (step @p20 :rule process_scope :premises (@p324) :args (@t26))
% 1.33/1.57  (step @p22 :rule eq_resolve :premises (@p20 @p17))
% 1.33/1.57  (step @p23 :rule implies_elim :premises (@p22))
% 1.33/1.57  (step @p24 :rule chain_m_resolution :premises (@p23 @p8) :args (@t28 @t29 (@list @t13)))
% 1.33/1.57  (step @p25 :rule skolemize :premises (@p9))
% 1.33/1.57  (step @p26 :rule cnf_equiv_pos2 :args (@t28))
% 1.33/1.57  (step @p27 :rule reordering :premises (@p26) :args ((or @t27 @t30 (not @t28))))
% 1.33/1.57  (step @p28 :rule chain_m_resolution :premises (@p27 @p25 @p24) :args (@t30 @t31 (@list @t27 @t28)))
% 1.33/1.57  (step @p29 :rule skolemize :premises (@p28))
% 1.33/1.57  (step @p30 :rule cnf_equiv_neg1 :args (@t34))
% 1.33/1.57  (step @p31 :rule reordering :premises (@p30) :args ((or @t33 @t32 @t34)))
% 1.33/1.57  (step @p32 :rule bool-double-not-elim :args (@t38))
% 1.33/1.57  (step @p33 :rule refl :args (@t41))
% 1.33/1.57  (step @p34 :rule nary_cong :premises (@p33 @p32) :args ((or @t41 (not @t40))))
% 1.33/1.57  (step @p35 :rule cnf_or_neg :args (@t41 0))
% 1.33/1.57  (step @p36 :rule eq_resolve :premises (@p35 @p34))
% 1.33/1.57  (step @p37 :rule reordering :premises (@p36) :args ((or @t38 @t41)))
% 1.33/1.57  (step @p38 :rule cnf_or_neg :args (@t41 1))
% 1.33/1.57  (step @p39 :rule instantiate :premises (@p2) :args ((@list @t18 @t15 @t37)))
% 1.33/1.57  (step @p40 :rule cnf_equiv_pos1 :args (@t44))
% 1.33/1.57  (step @p41 :rule reordering :premises (@p40) :args ((or @t40 @t43 (not @t44))))
% 1.33/1.57  (step @p42 :rule bool-double-not-elim :args (@t48))
% 1.33/1.57  (step @p43 :rule refl :args (@t51))
% 1.33/1.57  (step @p44 :rule nary_cong :premises (@p43 @p42) :args ((or @t51 (not @t50))))
% 1.33/1.57  (step @p45 :rule cnf_or_neg :args (@t51 0))
% 1.33/1.57  (step @p46 :rule eq_resolve :premises (@p45 @p44))
% 1.33/1.57  (step @p47 :rule reordering :premises (@p46) :args ((or @t48 @t51)))
% 1.33/1.57  (step @p48 :rule cnf_or_neg :args (@t51 1))
% 1.33/1.57  (step @p49 :rule instantiate :premises (@p2) :args ((@list @t18 @t15 @t47)))
% 1.33/1.57  (step @p50 :rule cnf_equiv_pos1 :args (@t54))
% 1.33/1.57  (step @p51 :rule reordering :premises (@p50) :args ((or @t50 @t53 (not @t54))))
% 1.33/1.57  (step @p52 :rule bool-double-not-elim :args (@t57))
% 1.33/1.57  (step @p53 :rule refl :args (@t60))
% 1.33/1.57  (step @p54 :rule nary_cong :premises (@p53 @p52) :args ((or @t60 (not @t59))))
% 1.33/1.57  (step @p55 :rule cnf_or_neg :args (@t60 0))
% 1.33/1.57  (step @p56 :rule eq_resolve :premises (@p55 @p54))
% 1.33/1.57  (step @p57 :rule reordering :premises (@p56) :args ((or @t57 @t60)))
% 1.33/1.57  (step @p58 :rule cnf_or_neg :args (@t60 1))
% 1.33/1.57  (step @p59 :rule cnf_or_neg :args (@t61 1))
% 1.33/1.57  (step @p60 :rule reordering :premises (@p59) :args ((or @t59 @t61)))
% 1.33/1.57  (step @p61 :rule instantiate :premises (@p1) :args ((@list @t16 @t15 @t56)))
% 1.33/1.57  (step @p62 :rule cnf_equiv_pos2 :args (@t62))
% 1.33/1.57  (step @p63 :rule reordering :premises (@p62) :args ((or @t58 (not @t61) (not @t62))))
% 1.33/1.57  (step @p64 :rule chain_m_resolution :premises (@p63 @p61 @p60 @p58 @p57) :args (@t60 @t63 (@list @t62 @t61 @t58 @t57)))
% 1.33/1.57  (step @p65 :rule refl :args (@t64))
% 1.33/1.57  (step @p66 :rule bool-double-not-elim :args (@t55))
% 1.33/1.57  (step @p67 :rule nary_cong :premises (@p66 @p65) :args ((or (not @t65) @t64)))
% 1.33/1.57  (assume-push @p325 @t65)
% 1.33/1.57  (step @p69 :rule skolemize :premises (@p325))
% 1.33/1.57  (step-pop @p326 :rule scope :premises (@p69))
% 1.33/1.57  (step @p70 :rule process_scope :premises (@p326) :args (@t64))
% 1.33/1.57  (step @p72 :rule implies_elim :premises (@p70))
% 1.33/1.57  (step @p73 :rule eq_resolve :premises (@p72 @p67))
% 1.33/1.57  (step @p74 :rule chain_m_resolution :premises (@p73 @p64) :args (@t55 @t29 (@list @t60)))
% 1.33/1.57  (assume-push @p327 @t55)
% 1.33/1.57  (step @p76 :rule instantiate :premises (@p327) :args ((@list @t47)))
% 1.33/1.57  (step-pop @p328 :rule scope :premises (@p76))
% 1.33/1.57  (step @p77 :rule process_scope :premises (@p328) :args (@t67))
% 1.33/1.57  (step @p79 :rule implies_elim :premises (@p77))
% 1.33/1.57  (step @p80 :rule chain_m_resolution :premises (@p79 @p74) :args (@t67 @t29 (@list @t55)))
% 1.33/1.57  (step @p81 :rule cnf_or_pos :args (@t67))
% 1.33/1.57  (step @p82 :rule reordering :premises (@p81) :args ((or @t49 @t66 (not @t67))))
% 1.33/1.57  (step @p83 :rule cnf_and_pos :args (@t53 1))
% 1.33/1.57  (step @p84 :rule reordering :premises (@p83) :args ((or @t52 (not @t53))))
% 1.33/1.57  (step @p85 :rule chain_m_resolution :premises (@p84 @p82 @p80 @p51 @p49 @p48 @p47) :args (@t51 (@list true false false false true false) (@list @t52 @t67 @t53 @t54 @t49 @t48)))
% 1.33/1.57  (step @p86 :rule refl :args (@t68))
% 1.33/1.57  (step @p87 :rule bool-double-not-elim :args (@t46))
% 1.33/1.57  (step @p88 :rule nary_cong :premises (@p87 @p86) :args ((or (not @t69) @t68)))
% 1.33/1.57  (assume-push @p329 @t69)
% 1.33/1.57  (step @p90 :rule skolemize :premises (@p329))
% 1.33/1.57  (step-pop @p330 :rule scope :premises (@p90))
% 1.33/1.57  (step @p91 :rule process_scope :premises (@p330) :args (@t68))
% 1.33/1.57  (step @p93 :rule implies_elim :premises (@p91))
% 1.33/1.57  (step @p94 :rule eq_resolve :premises (@p93 @p88))
% 1.33/1.57  (step @p95 :rule chain_m_resolution :premises (@p94 @p85) :args (@t46 @t29 (@list @t51)))
% 1.33/1.57  (assume-push @p331 @t46)
% 1.33/1.57  (step @p97 :rule instantiate :premises (@p331) :args ((@list @t37)))
% 1.33/1.57  (step-pop @p332 :rule scope :premises (@p97))
% 1.33/1.57  (step @p98 :rule process_scope :premises (@p332) :args (@t71))
% 1.33/1.57  (step @p100 :rule implies_elim :premises (@p98))
% 1.33/1.57  (step @p101 :rule chain_m_resolution :premises (@p100 @p95) :args (@t71 @t29 (@list @t46)))
% 1.33/1.57  (step @p102 :rule cnf_or_pos :args (@t71))
% 1.33/1.57  (step @p103 :rule reordering :premises (@p102) :args ((or @t40 @t70 (not @t71))))
% 1.33/1.57  (step @p104 :rule instantiate :premises (@p2) :args ((@list @t18 @t17 @t37)))
% 1.33/1.57  (step @p105 :rule cnf_equiv_pos2 :args (@t73))
% 1.33/1.57  (step @p106 :rule reordering :premises (@p105) :args ((or @t39 (not @t72) (not @t73))))
% 1.33/1.57  (step @p107 :rule cnf_and_pos :args (@t43 0))
% 1.33/1.57  (step @p108 :rule reordering :premises (@p107) :args ((or @t42 (not @t43))))
% 1.33/1.57  (step @p109 :rule cnf_and_neg :args (@t72))
% 1.33/1.57  (step @p110 :rule chain_m_resolution :premises (@p109 @p108 @p106 @p104 @p103 @p101 @p41 @p39 @p38 @p37) :args (@t41 (@list false true false false false false false true false) (@list @t42 @t72 @t73 @t70 @t71 @t43 @t44 @t39 @t38)))
% 1.33/1.57  (step @p111 :rule refl :args (@t74))
% 1.33/1.57  (step @p112 :rule bool-double-not-elim :args (@t36))
% 1.33/1.57  (step @p113 :rule nary_cong :premises (@p112 @p111) :args ((or (not @t75) @t74)))
% 1.33/1.57  (assume-push @p333 @t75)
% 1.33/1.57  (step @p115 :rule skolemize :premises (@p333))
% 1.33/1.57  (step-pop @p334 :rule scope :premises (@p115))
% 1.33/1.57  (step @p116 :rule process_scope :premises (@p334) :args (@t74))
% 1.33/1.57  (step @p118 :rule implies_elim :premises (@p116))
% 1.33/1.57  (step @p119 :rule eq_resolve :premises (@p118 @p113))
% 1.33/1.57  (step @p120 :rule chain_m_resolution :premises (@p119 @p110) :args (@t36 @t29 (@list @t41)))
% 1.33/1.57  (assume-push @p335 @t36)
% 1.33/1.57  (step @p122 :rule instantiate :premises (@p335) :args (@t76))
% 1.33/1.57  (step-pop @p336 :rule scope :premises (@p122))
% 1.33/1.57  (step @p123 :rule process_scope :premises (@p336) :args (@t79))
% 1.33/1.57  (step @p125 :rule implies_elim :premises (@p123))
% 1.33/1.57  (step @p126 :rule chain_m_resolution :premises (@p125 @p120) :args (@t79 @t29 (@list @t36)))
% 1.33/1.57  (step @p127 :rule cnf_or_pos :args (@t79))
% 1.33/1.57  (step @p128 :rule reordering :premises (@p127) :args ((or @t32 @t78 (not @t79))))
% 1.33/1.57  (step @p129 :rule bool-double-not-elim :args (@t83))
% 1.33/1.57  (step @p130 :rule refl :args (@t86))
% 1.33/1.57  (step @p131 :rule nary_cong :premises (@p130 @p129) :args ((or @t86 (not @t85))))
% 1.33/1.57  (step @p132 :rule cnf_or_neg :args (@t86 0))
% 1.33/1.57  (step @p133 :rule eq_resolve :premises (@p132 @p131))
% 1.33/1.57  (step @p134 :rule reordering :premises (@p133) :args ((or @t83 @t86)))
% 1.33/1.57  (step @p135 :rule cnf_or_neg :args (@t86 1))
% 1.33/1.57  (step @p136 :rule bool-double-not-elim :args (@t90))
% 1.33/1.57  (step @p137 :rule refl :args (@t93))
% 1.33/1.57  (step @p138 :rule nary_cong :premises (@p137 @p136) :args ((or @t93 (not @t92))))
% 1.33/1.57  (step @p139 :rule cnf_or_neg :args (@t93 0))
% 1.33/1.57  (step @p140 :rule eq_resolve :premises (@p139 @p138))
% 1.33/1.57  (step @p141 :rule reordering :premises (@p140) :args ((or @t90 @t93)))
% 1.33/1.57  (step @p142 :rule cnf_or_neg :args (@t93 1))
% 1.33/1.57  (step @p143 :rule instantiate :premises (@p2) :args ((@list @t18 @t16 @t89)))
% 1.33/1.57  (step @p144 :rule cnf_equiv_pos1 :args (@t95))
% 1.33/1.57  (step @p145 :rule reordering :premises (@p144) :args ((or @t92 @t94 (not @t95))))
% 1.33/1.57  (step @p146 :rule cnf_and_pos :args (@t94 1))
% 1.33/1.57  (step @p147 :rule reordering :premises (@p146) :args ((or @t91 (not @t94))))
% 1.33/1.57  (step @p148 :rule chain_m_resolution :premises (@p147 @p145 @p143 @p142 @p141) :args (@t93 @t63 (@list @t94 @t95 @t91 @t90)))
% 1.33/1.57  (step @p149 :rule refl :args (@t96))
% 1.33/1.57  (step @p150 :rule bool-double-not-elim :args (@t88))
% 1.33/1.57  (step @p151 :rule nary_cong :premises (@p150 @p149) :args ((or (not @t97) @t96)))
% 1.33/1.57  (assume-push @p337 @t97)
% 1.33/1.57  (step @p153 :rule skolemize :premises (@p337))
% 1.33/1.57  (step-pop @p338 :rule scope :premises (@p153))
% 1.33/1.57  (step @p154 :rule process_scope :premises (@p338) :args (@t96))
% 1.33/1.57  (step @p156 :rule implies_elim :premises (@p154))
% 1.33/1.57  (step @p157 :rule eq_resolve :premises (@p156 @p151))
% 1.33/1.57  (step @p158 :rule chain_m_resolution :premises (@p157 @p148) :args (@t88 @t29 (@list @t93)))
% 1.33/1.57  (assume-push @p339 @t88)
% 1.33/1.57  (step @p160 :rule instantiate :premises (@p339) :args (@t98))
% 1.33/1.57  (step-pop @p340 :rule scope :premises (@p160))
% 1.33/1.57  (step @p161 :rule process_scope :premises (@p340) :args (@t100))
% 1.33/1.57  (step @p163 :rule implies_elim :premises (@p161))
% 1.33/1.57  (step @p164 :rule chain_m_resolution :premises (@p163 @p158) :args (@t100 @t29 (@list @t88)))
% 1.33/1.57  (step @p165 :rule cnf_or_pos :args (@t100))
% 1.33/1.57  (step @p166 :rule reordering :premises (@p165) :args ((or @t85 @t99 (not @t100))))
% 1.33/1.57  (step @p167 :rule bool-double-not-elim :args (@t103))
% 1.33/1.57  (step @p168 :rule refl :args (@t106))
% 1.33/1.57  (step @p169 :rule nary_cong :premises (@p168 @p167) :args ((or @t106 (not @t105))))
% 1.33/1.57  (step @p170 :rule cnf_or_neg :args (@t106 0))
% 1.33/1.57  (step @p171 :rule eq_resolve :premises (@p170 @p169))
% 1.33/1.57  (step @p172 :rule reordering :premises (@p171) :args ((or @t103 @t106)))
% 1.33/1.57  (step @p173 :rule cnf_or_neg :args (@t106 1))
% 1.33/1.57  (step @p174 :rule cnf_or_neg :args (@t107 0))
% 1.33/1.57  (step @p175 :rule reordering :premises (@p174) :args ((or @t105 @t107)))
% 1.33/1.57  (step @p176 :rule instantiate :premises (@p1) :args ((@list @t16 @t15 @t102)))
% 1.33/1.57  (step @p177 :rule cnf_equiv_pos2 :args (@t108))
% 1.33/1.57  (step @p178 :rule reordering :premises (@p177) :args ((or @t104 (not @t107) (not @t108))))
% 1.33/1.57  (step @p179 :rule chain_m_resolution :premises (@p178 @p176 @p175 @p173 @p172) :args (@t106 @t63 (@list @t108 @t107 @t104 @t103)))
% 1.33/1.57  (step @p180 :rule refl :args (@t109))
% 1.33/1.57  (step @p181 :rule bool-double-not-elim :args (@t101))
% 1.33/1.57  (step @p182 :rule nary_cong :premises (@p181 @p180) :args ((or (not @t110) @t109)))
% 1.33/1.57  (assume-push @p341 @t110)
% 1.33/1.57  (step @p184 :rule skolemize :premises (@p341))
% 1.33/1.57  (step-pop @p342 :rule scope :premises (@p184))
% 1.33/1.57  (step @p185 :rule process_scope :premises (@p342) :args (@t109))
% 1.33/1.57  (step @p187 :rule implies_elim :premises (@p185))
% 1.33/1.57  (step @p188 :rule eq_resolve :premises (@p187 @p182))
% 1.33/1.57  (step @p189 :rule chain_m_resolution :premises (@p188 @p179) :args (@t101 @t29 (@list @t106)))
% 1.33/1.57  (assume-push @p343 @t101)
% 1.33/1.57  (step @p191 :rule instantiate :premises (@p343) :args (@t98))
% 1.33/1.57  (step-pop @p344 :rule scope :premises (@p191))
% 1.33/1.57  (step @p192 :rule process_scope :premises (@p344) :args (@t112))
% 1.33/1.57  (step @p194 :rule implies_elim :premises (@p192))
% 1.33/1.57  (step @p195 :rule chain_m_resolution :premises (@p194 @p189) :args (@t112 @t29 (@list @t101)))
% 1.33/1.57  (step @p196 :rule cnf_or_pos :args (@t112))
% 1.33/1.57  (step @p197 :rule reordering :premises (@p196) :args ((or @t84 @t111 (not @t112))))
% 1.33/1.57  (step @p198 :rule chain_m_resolution :premises (@p197 @p195 @p166 @p164 @p135 @p134) :args (@t86 (@list false false false true false) (@list @t112 @t99 @t100 @t84 @t83)))
% 1.33/1.57  (step @p199 :rule refl :args (@t113))
% 1.33/1.57  (step @p200 :rule bool-double-not-elim :args (@t81))
% 1.33/1.57  (step @p201 :rule nary_cong :premises (@p200 @p199) :args ((or (not @t114) @t113)))
% 1.33/1.57  (assume-push @p345 @t114)
% 1.33/1.57  (step @p203 :rule skolemize :premises (@p345))
% 1.33/1.57  (step-pop @p346 :rule scope :premises (@p203))
% 1.33/1.57  (step @p204 :rule process_scope :premises (@p346) :args (@t113))
% 1.33/1.57  (step @p206 :rule implies_elim :premises (@p204))
% 1.33/1.57  (step @p207 :rule eq_resolve :premises (@p206 @p201))
% 1.33/1.57  (step @p208 :rule chain_m_resolution :premises (@p207 @p198) :args (@t81 @t29 (@list @t86)))
% 1.33/1.57  (assume-push @p347 @t81)
% 1.33/1.57  (step @p210 :rule instantiate :premises (@p347) :args (@t117))
% 1.33/1.57  (step-pop @p348 :rule scope :premises (@p210))
% 1.33/1.57  (step @p211 :rule process_scope :premises (@p348) :args (@t121))
% 1.33/1.57  (step @p213 :rule implies_elim :premises (@p211))
% 1.33/1.57  (step @p214 :rule chain_m_resolution :premises (@p213 @p208) :args (@t121 @t29 (@list @t81)))
% 1.33/1.57  (step @p215 :rule bool-double-not-elim :args (@t119))
% 1.33/1.57  (step @p216 :rule refl :args (@t123))
% 1.33/1.57  (step @p217 :rule nary_cong :premises (@p216 @p215) :args ((or @t123 (not @t120))))
% 1.33/1.57  (step @p218 :rule cnf_or_neg :args (@t123 0))
% 1.33/1.57  (step @p219 :rule eq_resolve :premises (@p218 @p217))
% 1.33/1.57  (step @p220 :rule reordering :premises (@p219) :args ((or @t119 @t123)))
% 1.33/1.57  (step @p221 :rule cnf_or_neg :args (@t123 1))
% 1.33/1.57  (step @p222 :rule bool-double-not-elim :args (@t126))
% 1.33/1.57  (step @p223 :rule refl :args (@t129))
% 1.33/1.57  (step @p224 :rule nary_cong :premises (@p223 @p222) :args ((or @t129 (not @t128))))
% 1.33/1.57  (step @p225 :rule cnf_or_neg :args (@t129 0))
% 1.33/1.57  (step @p226 :rule eq_resolve :premises (@p225 @p224))
% 1.33/1.57  (step @p227 :rule reordering :premises (@p226) :args ((or @t126 @t129)))
% 1.33/1.57  (step @p228 :rule cnf_or_neg :args (@t129 1))
% 1.33/1.57  (step @p229 :rule instantiate :premises (@p2) :args ((@list @t18 @t16 @t125)))
% 1.33/1.57  (step @p230 :rule cnf_equiv_pos1 :args (@t131))
% 1.33/1.57  (step @p231 :rule reordering :premises (@p230) :args ((or @t128 @t130 (not @t131))))
% 1.33/1.57  (step @p232 :rule cnf_and_pos :args (@t130 0))
% 1.33/1.57  (step @p233 :rule reordering :premises (@p232) :args ((or @t127 (not @t130))))
% 1.33/1.57  (step @p234 :rule chain_m_resolution :premises (@p233 @p231 @p229 @p228 @p227) :args (@t129 @t63 (@list @t130 @t131 @t127 @t126)))
% 1.33/1.57  (step @p235 :rule refl :args (@t132))
% 1.33/1.57  (step @p236 :rule bool-double-not-elim :args (@t124))
% 1.33/1.57  (step @p237 :rule nary_cong :premises (@p236 @p235) :args ((or (not @t133) @t132)))
% 1.33/1.57  (assume-push @p349 @t133)
% 1.33/1.57  (step @p239 :rule skolemize :premises (@p349))
% 1.33/1.57  (step-pop @p350 :rule scope :premises (@p239))
% 1.33/1.57  (step @p240 :rule process_scope :premises (@p350) :args (@t132))
% 1.33/1.57  (step @p242 :rule implies_elim :premises (@p240))
% 1.33/1.57  (step @p243 :rule eq_resolve :premises (@p242 @p237))
% 1.33/1.57  (step @p244 :rule chain_m_resolution :premises (@p243 @p234) :args (@t124 @t29 (@list @t129)))
% 1.33/1.57  (assume-push @p351 @t124)
% 1.33/1.57  (step @p246 :rule instantiate :premises (@p351) :args (@t117))
% 1.33/1.57  (step-pop @p352 :rule scope :premises (@p246))
% 1.33/1.57  (step @p247 :rule process_scope :premises (@p352) :args (@t135))
% 1.33/1.57  (step @p249 :rule implies_elim :premises (@p247))
% 1.33/1.57  (step @p250 :rule chain_m_resolution :premises (@p249 @p244) :args (@t135 @t29 (@list @t124)))
% 1.33/1.57  (step @p251 :rule cnf_or_pos :args (@t135))
% 1.33/1.57  (step @p252 :rule reordering :premises (@p251) :args ((or @t120 @t134 (not @t135))))
% 1.33/1.57  (step @p253 :rule cnf_or_pos :args (@t121))
% 1.33/1.57  (step @p254 :rule reordering :premises (@p253) :args ((or @t120 @t118 @t136)))
% 1.33/1.57  (step @p255 :rule instantiate :premises (@p2) :args ((@list @t18 @t17 @t116)))
% 1.33/1.57  (step @p256 :rule cnf_equiv_pos2 :args (@t138))
% 1.33/1.57  (step @p257 :rule reordering :premises (@p256) :args ((or @t122 (not @t137) (not @t138))))
% 1.33/1.57  (step @p258 :rule cnf_and_neg :args (@t137))
% 1.33/1.57  (step @p259 :rule chain_m_resolution :premises (@p258 @p257 @p255 @p254 @p252 @p250 @p221 @p220) :args ((or @t123 @t136) (@list true false false false false true false) (@list @t137 @t138 @t118 @t134 @t135 @t122 @t119)))
% 1.33/1.57  (step @p260 :rule chain_m_resolution :premises (@p259 @p214) :args (@t123 @t29 (@list @t121)))
% 1.33/1.57  (step @p261 :rule refl :args (@t139))
% 1.33/1.57  (step @p262 :rule bool-double-not-elim :args (@t115))
% 1.33/1.57  (step @p263 :rule nary_cong :premises (@p262 @p261) :args ((or (not @t140) @t139)))
% 1.33/1.57  (assume-push @p353 @t140)
% 1.33/1.57  (step @p265 :rule skolemize :premises (@p353))
% 1.33/1.57  (step-pop @p354 :rule scope :premises (@p265))
% 1.33/1.57  (step @p266 :rule process_scope :premises (@p354) :args (@t139))
% 1.33/1.57  (step @p268 :rule implies_elim :premises (@p266))
% 1.33/1.57  (step @p269 :rule eq_resolve :premises (@p268 @p263))
% 1.33/1.57  (step @p270 :rule chain_m_resolution :premises (@p269 @p260) :args (@t115 @t29 (@list @t123)))
% 1.33/1.57  (assume-push @p355 @t115)
% 1.33/1.57  (step @p272 :rule instantiate :premises (@p355) :args (@t76))
% 1.33/1.57  (step-pop @p356 :rule scope :premises (@p272))
% 1.33/1.57  (step @p273 :rule process_scope :premises (@p356) :args (@t143))
% 1.33/1.57  (step @p275 :rule implies_elim :premises (@p273))
% 1.33/1.57  (step @p276 :rule chain_m_resolution :premises (@p275 @p270) :args (@t143 @t29 (@list @t115)))
% 1.33/1.57  (step @p277 :rule cnf_or_pos :args (@t143))
% 1.33/1.57  (step @p278 :rule reordering :premises (@p277) :args ((or @t32 @t142 (not @t143))))
% 1.33/1.57  (step @p279 :rule instantiate :premises (@p1) :args ((@list @t22 @t21 @t25)))
% 1.33/1.57  (step @p280 :rule cnf_equiv_pos1 :args (@t145))
% 1.33/1.57  (step @p281 :rule reordering :premises (@p280) :args ((or @t147 @t144 @t146)))
% 1.33/1.57  (step @p282 :rule cnf_or_pos :args (@t144))
% 1.33/1.57  (step @p283 :rule reordering :premises (@p282) :args ((or @t141 @t77 @t148)))
% 1.33/1.57  (step @p284 :rule chain_m_resolution :premises (@p283 @p281 @p279 @p278 @p276 @p128 @p126 @p31 @p29) :args (@t32 (@list false false true false true false false true) (@list @t144 @t145 @t141 @t143 @t77 @t79 @t33 @t34)))
% 1.33/1.57  (step @p285 :rule cnf_equiv_pos1 :args (@t152))
% 1.33/1.57  (step @p286 :rule reordering :premises (@p285) :args ((or (not @t32) @t151 (not @t152))))
% 1.33/1.57  (step @p287 :rule chain_m_resolution :premises (@p286 @p284 @p12) :args (@t151 @t153 (@list @t32 @t152)))
% 1.33/1.58  (step @p288 :rule cnf_and_pos :args (@t151 1))
% 1.33/1.58  (step @p289 :rule reordering :premises (@p288) :args ((or @t149 @t154)))
% 1.33/1.58  (step @p290 :rule chain_m_resolution :premises (@p289 @p287) :args (@t149 @t29 @t155))
% 1.33/1.58  (step @p291 :rule cnf_equiv_pos1 :args (@t159))
% 1.33/1.58  (step @p292 :rule reordering :premises (@p291) :args ((or (not @t149) @t158 (not @t159))))
% 1.33/1.58  (step @p293 :rule chain_m_resolution :premises (@p292 @p290 @p11) :args (@t158 @t153 (@list @t149 @t159)))
% 1.33/1.58  (step @p294 :rule instantiate :premises (@p2) :args ((@list @t18 @t15 @t25)))
% 1.33/1.58  (step @p295 :rule cnf_equiv_neg2 :args (@t34))
% 1.33/1.58  (step @p296 :rule chain_m_resolution :premises (@p295 @p29 @p284) :args (@t147 @t31 (@list @t34 @t32)))
% 1.33/1.58  (step @p297 :rule cnf_equiv_pos2 :args (@t145))
% 1.33/1.58  (step @p298 :rule reordering :premises (@p297) :args ((or @t33 @t148 @t146)))
% 1.33/1.58  (step @p299 :rule chain_m_resolution :premises (@p298 @p296 @p279) :args (@t148 @t31 (@list @t33 @t145)))
% 1.33/1.58  (step @p300 :rule cnf_or_neg :args (@t144 1))
% 1.33/1.58  (step @p301 :rule chain_m_resolution :premises (@p300 @p299) :args (@t78 @t160 @t161))
% 1.33/1.58  (step @p302 :rule cnf_equiv_pos2 :args (@t163))
% 1.33/1.58  (step @p303 :rule reordering :premises (@p302) :args ((or @t77 @t164 (not @t163))))
% 1.33/1.58  (step @p304 :rule chain_m_resolution :premises (@p303 @p301 @p294) :args (@t164 @t31 (@list @t77 @t163)))
% 1.33/1.58  (step @p305 :rule cnf_and_pos :args (@t151 0))
% 1.33/1.58  (step @p306 :rule reordering :premises (@p305) :args ((or @t150 @t154)))
% 1.33/1.58  (step @p307 :rule chain_m_resolution :premises (@p306 @p287) :args (@t150 @t29 @t155))
% 1.33/1.58  (step @p308 :rule cnf_and_neg :args (@t162))
% 1.33/1.58  (step @p309 :rule reordering :premises (@p308) :args ((or @t166 @t162 @t165)))
% 1.33/1.58  (step @p310 :rule chain_m_resolution :premises (@p309 @p307 @p304) :args (@t165 @t167 (@list @t150 @t162)))
% 1.33/1.58  (step @p311 :rule instantiate :premises (@p2) :args ((@list @t18 @t16 @t25)))
% 1.33/1.58  (step @p312 :rule cnf_or_neg :args (@t144 0))
% 1.33/1.58  (step @p313 :rule chain_m_resolution :premises (@p312 @p299) :args (@t142 @t160 @t161))
% 1.33/1.58  (step @p314 :rule cnf_equiv_pos2 :args (@t169))
% 1.33/1.58  (step @p315 :rule reordering :premises (@p314) :args ((or @t141 @t170 (not @t169))))
% 1.33/1.58  (step @p316 :rule chain_m_resolution :premises (@p315 @p313 @p311) :args (@t170 @t31 (@list @t141 @t169)))
% 1.33/1.58  (step @p317 :rule cnf_and_neg :args (@t168))
% 1.33/1.58  (step @p318 :rule reordering :premises (@p317) :args ((or @t166 @t168 @t171)))
% 1.33/1.58  (step @p319 :rule chain_m_resolution :premises (@p318 @p307 @p316) :args (@t171 @t167 (@list @t150 @t168)))
% 1.33/1.58  (step @p320 :rule cnf_or_pos :args (@t158))
% 1.33/1.58  (step @p321 :rule reordering :premises (@p320) :args ((or @t157 @t156 (not @t158))))
% 1.33/1.58  (step @p322 false :rule chain_m_resolution :premises (@p321 @p319 @p310 @p293) :args (false (@list true true false) (@list @t157 @t156 @t158)))
% 1.33/1.58  )
% 1.33/1.58  % SZS output end Proof
% 1.33/1.58  % cvc5 exiting
%------------------------------------------------------------------------------