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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : PUZ135_1 : TPTP v9.2.1. Released v5.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n022.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 08:44:17 AM UTC 2026

% Result   : Theorem 0.38s 0.59s
% Output   : Proof 0.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : PUZ135_1 : TPTP v9.2.1. Released v5.1.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n022.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Tue Jun  2 13:19:23 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.30/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.38/0.59  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.38/0.59  % SZS status Theorem
% 0.38/0.59  % SZS output start Proof
% 0.38/0.59  (
% 0.38/0.59  (declare-sort tptp.place 0)
% 0.38/0.59  (declare-sort tptp.entry 0)
% 0.38/0.59  (declare-sort tptp.knowheyan 0)
% 0.38/0.59  (declare-const tptp.b tptp.knowheyan)
% 0.38/0.59  (declare-const tptp.a tptp.knowheyan)
% 0.38/0.59  (declare-const tptp.reconstituted_materials_sculpture tptp.entry)
% 0.38/0.59  (declare-const tptp.first tptp.place)
% 0.38/0.59  (declare-const tptp.c tptp.knowheyan)
% 0.38/0.59  (declare-const tptp.third tptp.place)
% 0.38/0.59  (declare-const tptp.d tptp.knowheyan)
% 0.38/0.59  (declare-const tptp.place_of (-> tptp.knowheyan tptp.place))
% 0.38/0.59  (declare-const tptp.fourth tptp.place)
% 0.38/0.59  (declare-const tptp.holography tptp.entry)
% 0.38/0.59  (declare-const tptp.collage_painting tptp.entry)
% 0.38/0.59  (declare-const tptp.second tptp.place)
% 0.38/0.59  (declare-const tptp.entry_of (-> tptp.knowheyan tptp.entry))
% 0.38/0.59  (declare-const tptp.laser_etching tptp.entry)
% 0.38/0.59  (define @t1 () (= tptp.a tptp.b))
% 0.38/0.59  (define @t2 () (= tptp.a tptp.c))
% 0.38/0.59  (define @t3 () (= tptp.a tptp.d))
% 0.38/0.59  (define @t4 () (= tptp.b tptp.c))
% 0.38/0.59  (define @t5 () (= tptp.b tptp.d))
% 0.38/0.59  (define @t6 () (= tptp.c tptp.d))
% 0.38/0.59  (define @t7 () (@var "X" tptp.knowheyan))
% 0.38/0.59  (define @t8 () (= @t7 tptp.c))
% 0.38/0.59  (define @t9 () (= @t7 tptp.a))
% 0.38/0.59  (define @t10 () (@list @t7))
% 0.38/0.59  (define @t11 () (@var "X" tptp.entry))
% 0.38/0.59  (define @t12 () (or (= @t11 tptp.collage_painting) (= @t11 tptp.holography) (= @t11 tptp.laser_etching) (= @t11 tptp.reconstituted_materials_sculpture)))
% 0.38/0.59  (define @t13 () (@list @t11))
% 0.38/0.59  (define @t14 () (forall @t13 @t12))
% 0.38/0.59  (define @t15 () (@var "X" tptp.place))
% 0.38/0.59  (define @t16 () (or (= @t15 tptp.first) (= @t15 tptp.second) (= @t15 tptp.third) (= @t15 tptp.fourth)))
% 0.38/0.59  (define @t17 () (forall (@list @t15) @t16))
% 0.38/0.59  (define @t18 () (@var "Y" tptp.knowheyan))
% 0.38/0.59  (define @t19 () (tptp.entry_of @t7))
% 0.38/0.59  (define @t20 () (not (= @t19 (tptp.entry_of @t18))))
% 0.38/0.59  (define @t21 () (= @t7 @t18))
% 0.38/0.59  (define @t22 () (not @t21))
% 0.38/0.59  (define @t23 () (@list @t7 @t18))
% 0.38/0.59  (define @t24 () (forall @t23 (=> @t22 @t20)))
% 0.38/0.59  (define @t25 () (tptp.place_of @t7))
% 0.38/0.59  (define @t26 () (tptp.entry_of tptp.a))
% 0.38/0.59  (define @t27 () (= @t25 tptp.fourth))
% 0.38/0.59  (define @t28 () (not (= @t25 tptp.second)))
% 0.38/0.59  (define @t29 () (not (= @t25 tptp.first)))
% 0.38/0.59  (define @t30 () (not @t8))
% 0.38/0.59  (define @t31 () (not @t9))
% 0.38/0.59  (define @t32 () (and @t31 @t30 @t29 @t28))
% 0.38/0.59  (define @t33 () (=> (= @t19 tptp.collage_painting) @t32))
% 0.38/0.59  (define @t34 () (forall @t10 @t33))
% 0.38/0.59  (define @t35 () (= @t19 tptp.laser_etching))
% 0.38/0.59  (define @t36 () (tptp.place_of tptp.b))
% 0.38/0.59  (define @t37 () (and @t31 @t28))
% 0.38/0.59  (define @t38 () (=> @t35 @t37))
% 0.38/0.59  (define @t39 () (forall @t10 @t38))
% 0.38/0.59  (define @t40 () (tptp.entry_of tptp.b))
% 0.38/0.59  (define @t41 () (tptp.entry_of tptp.d))
% 0.38/0.59  (define @t42 () (tptp.entry_of tptp.c))
% 0.38/0.59  (define @t43 () (and (= @t26 tptp.reconstituted_materials_sculpture) (= @t40 tptp.holography) (= @t42 tptp.laser_etching) (= @t41 tptp.collage_painting)))
% 0.38/0.59  (define @t44 () (not @t43))
% 0.38/0.59  (define @t45 () (not (= @t42 @t41)))
% 0.38/0.59  (define @t46 () (or @t6 @t45))
% 0.38/0.59  (define @t47 () (@list true false))
% 0.38/0.59  (define @t48 () (not (= @t40 @t42)))
% 0.38/0.59  (define @t49 () (or @t4 @t48))
% 0.38/0.59  (define @t50 () (not (= @t26 @t40)))
% 0.38/0.59  (define @t51 () (or @t1 @t50))
% 0.38/0.59  (define @t52 () (@var "BOUND_VARIABLE_7720" tptp.knowheyan))
% 0.38/0.59  (define @t53 () (forall (@list @t52) (or (not (= tptp.second (tptp.place_of @t52))) (not (= tptp.laser_etching (tptp.entry_of @t52))))))
% 0.38/0.59  (define @t54 () (= tptp.laser_etching @t26))
% 0.38/0.59  (define @t55 () (not @t54))
% 0.38/0.59  (define @t56 () (not (= tptp.a tptp.a)))
% 0.38/0.59  (define @t57 () (or @t56 @t55))
% 0.38/0.59  (define @t58 () (@var "BOUND_VARIABLE_7710" tptp.knowheyan))
% 0.38/0.59  (define @t59 () (not (= tptp.laser_etching (tptp.entry_of @t58))))
% 0.38/0.59  (define @t60 () (not (= tptp.a @t58)))
% 0.38/0.59  (define @t61 () (@list @t58))
% 0.38/0.59  (define @t62 () (or @t60 @t60 @t59))
% 0.38/0.59  (define @t63 () (or @t60 @t59))
% 0.38/0.59  (define @t64 () (forall @t61 @t63))
% 0.38/0.59  (define @t65 () (= tptp.laser_etching @t19))
% 0.38/0.59  (define @t66 () (not @t65))
% 0.38/0.59  (define @t67 () (not (= tptp.second @t25)))
% 0.38/0.59  (define @t68 () (or @t67 @t66))
% 0.38/0.59  (define @t69 () (forall @t10 @t68))
% 0.38/0.59  (define @t70 () (@list @t7))
% 0.38/0.59  (define @t71 () (not (= tptp.a @t7)))
% 0.38/0.59  (define @t72 () (or @t71 @t66))
% 0.38/0.59  (define @t73 () (forall @t10 @t72))
% 0.38/0.59  (define @t74 () (and @t73 @t69))
% 0.38/0.59  (define @t75 () (and @t71 @t67))
% 0.38/0.59  (define @t76 () (or @t75 @t66))
% 0.38/0.59  (define @t77 () (or @t66 @t75))
% 0.38/0.59  (define @t78 () (@var "BOUND_VARIABLE_7662" tptp.knowheyan))
% 0.38/0.59  (define @t79 () (forall (@list @t78) (or (not (= tptp.second (tptp.place_of @t78))) (not (= tptp.collage_painting (tptp.entry_of @t78))))))
% 0.38/0.59  (define @t80 () (@var "BOUND_VARIABLE_7650" tptp.knowheyan))
% 0.38/0.59  (define @t81 () (forall (@list @t80) (or (not (= tptp.first (tptp.place_of @t80))) (not (= tptp.collage_painting (tptp.entry_of @t80))))))
% 0.38/0.59  (define @t82 () (= tptp.collage_painting @t42))
% 0.38/0.59  (define @t83 () (not @t82))
% 0.38/0.59  (define @t84 () (not (= tptp.c tptp.c)))
% 0.38/0.59  (define @t85 () (or @t84 @t83))
% 0.38/0.59  (define @t86 () (@var "BOUND_VARIABLE_7640" tptp.knowheyan))
% 0.38/0.59  (define @t87 () (not (= tptp.collage_painting (tptp.entry_of @t86))))
% 0.38/0.59  (define @t88 () (not (= tptp.c @t86)))
% 0.38/0.59  (define @t89 () (@list @t86))
% 0.38/0.59  (define @t90 () (or @t88 @t88 @t87))
% 0.38/0.59  (define @t91 () (or @t88 @t87))
% 0.38/0.59  (define @t92 () (forall @t89 @t91))
% 0.38/0.59  (define @t93 () (= tptp.collage_painting @t26))
% 0.38/0.59  (define @t94 () (not @t93))
% 0.38/0.59  (define @t95 () (or @t56 @t94))
% 0.38/0.59  (define @t96 () (@var "BOUND_VARIABLE_7630" tptp.knowheyan))
% 0.38/0.59  (define @t97 () (not (= tptp.collage_painting (tptp.entry_of @t96))))
% 0.38/0.59  (define @t98 () (not (= tptp.a @t96)))
% 0.38/0.59  (define @t99 () (@list @t96))
% 0.38/0.59  (define @t100 () (or @t98 @t98 @t97))
% 0.38/0.59  (define @t101 () (or @t98 @t97))
% 0.38/0.59  (define @t102 () (forall @t99 @t101))
% 0.38/0.59  (define @t103 () (= tptp.collage_painting @t19))
% 0.38/0.59  (define @t104 () (not @t103))
% 0.38/0.59  (define @t105 () (or @t67 @t104))
% 0.38/0.59  (define @t106 () (forall @t10 @t105))
% 0.38/0.59  (define @t107 () (not (= tptp.first @t25)))
% 0.38/0.59  (define @t108 () (or @t107 @t104))
% 0.38/0.59  (define @t109 () (forall @t10 @t108))
% 0.38/0.59  (define @t110 () (not (= tptp.c @t7)))
% 0.38/0.59  (define @t111 () (or @t110 @t104))
% 0.38/0.59  (define @t112 () (forall @t10 @t111))
% 0.38/0.59  (define @t113 () (or @t71 @t104))
% 0.38/0.59  (define @t114 () (forall @t10 @t113))
% 0.38/0.59  (define @t115 () (and @t114 @t112 @t109 @t106))
% 0.38/0.59  (define @t116 () (and @t113 @t111 @t108 @t105))
% 0.38/0.59  (define @t117 () (and @t71 @t110 @t107 @t67))
% 0.38/0.59  (define @t118 () (or @t117 @t104))
% 0.38/0.59  (define @t119 () (or @t104 @t117))
% 0.38/0.59  (define @t120 () (= tptp.reconstituted_materials_sculpture @t26))
% 0.38/0.59  (define @t121 () (= tptp.holography @t26))
% 0.38/0.59  (define @t122 () (or @t93 @t121 @t54 @t120))
% 0.38/0.59  (define @t123 () (@list true true true false))
% 0.38/0.59  (define @t124 () (= tptp.reconstituted_materials_sculpture @t40))
% 0.38/0.59  (define @t125 () (@list tptp.b))
% 0.38/0.59  (define @t126 () (= tptp.collage_painting @t40))
% 0.38/0.59  (define @t127 () (not @t126))
% 0.38/0.59  (define @t128 () (= tptp.first @t36))
% 0.38/0.59  (define @t129 () (not @t128))
% 0.38/0.59  (define @t130 () (or @t129 @t127))
% 0.38/0.59  (define @t131 () (= tptp.second @t36))
% 0.38/0.59  (define @t132 () (not @t131))
% 0.38/0.59  (define @t133 () (or @t132 @t127))
% 0.38/0.59  (define @t134 () (= tptp.fourth @t36))
% 0.38/0.59  (define @t135 () (= tptp.third @t36))
% 0.38/0.59  (define @t136 () (or @t128 @t131 @t135 @t134))
% 0.38/0.59  (define @t137 () (= tptp.laser_etching @t40))
% 0.38/0.59  (define @t138 () (= tptp.holography @t40))
% 0.38/0.59  (define @t139 () (or @t126 @t138 @t137 @t124))
% 0.38/0.59  (define @t140 () (= tptp.holography @t42))
% 0.38/0.59  (define @t141 () (not (= @t26 @t42)))
% 0.38/0.59  (define @t142 () (or @t2 @t141))
% 0.38/0.59  (define @t143 () (= tptp.reconstituted_materials_sculpture @t42))
% 0.38/0.59  (define @t144 () (= tptp.laser_etching @t42))
% 0.38/0.59  (define @t145 () (or @t82 @t140 @t144 @t143))
% 0.38/0.59  (define @t146 () (= tptp.laser_etching @t41))
% 0.38/0.59  (define @t147 () (not (= @t40 @t41)))
% 0.38/0.59  (define @t148 () (or @t5 @t147))
% 0.38/0.59  (define @t149 () (= tptp.holography @t41))
% 0.38/0.59  (define @t150 () (not (= @t26 @t41)))
% 0.38/0.59  (define @t151 () (or @t3 @t150))
% 0.38/0.59  (define @t152 () (= tptp.reconstituted_materials_sculpture @t41))
% 0.38/0.59  (define @t153 () (= tptp.collage_painting @t41))
% 0.38/0.59  (define @t154 () (or @t153 @t149 @t146 @t152))
% 0.38/0.59  (define @t155 () (not @t154))
% 0.38/0.59  (define @t156 () (forall @t13 (or (= tptp.collage_painting @t11) (= tptp.holography @t11) (= tptp.laser_etching @t11) (= tptp.reconstituted_materials_sculpture @t11))))
% 0.38/0.59  (assume @p1 (not @t1))
% 0.38/0.59  (assume @p2 (not @t2))
% 0.38/0.59  (assume @p3 (not @t3))
% 0.38/0.59  (assume @p4 (not @t4))
% 0.38/0.59  (assume @p5 (not @t5))
% 0.38/0.59  (assume @p6 (not @t6))
% 0.38/0.59  (assume @p7 (not (= tptp.collage_painting tptp.holography)))
% 0.38/0.59  (assume @p8 (not (= tptp.collage_painting tptp.laser_etching)))
% 0.38/0.59  (assume @p9 (not (= tptp.collage_painting tptp.reconstituted_materials_sculpture)))
% 0.38/0.59  (assume @p10 (not (= tptp.holography tptp.laser_etching)))
% 0.38/0.59  (assume @p11 (not (= tptp.holography tptp.reconstituted_materials_sculpture)))
% 0.38/0.59  (assume @p12 (not (= tptp.laser_etching tptp.reconstituted_materials_sculpture)))
% 0.38/0.59  (assume @p13 (not (= tptp.first tptp.second)))
% 0.38/0.59  (assume @p14 (not (= tptp.first tptp.third)))
% 0.38/0.59  (assume @p15 (not (= tptp.first tptp.fourth)))
% 0.38/0.59  (assume @p16 (not (= tptp.second tptp.third)))
% 0.38/0.59  (assume @p17 (not (= tptp.second tptp.fourth)))
% 0.38/0.59  (assume @p18 (not (= tptp.third tptp.fourth)))
% 0.38/0.59  (assume @p19 (forall @t10 (or @t9 (= @t7 tptp.b) @t8 (= @t7 tptp.d))))
% 0.38/0.59  (assume @p20 @t14)
% 0.38/0.59  (assume @p21 @t17)
% 0.38/0.59  (assume @p22 @t24)
% 0.38/0.59  (assume @p23 (forall @t23 (=> @t22 (not (= @t25 (tptp.place_of @t18))))))
% 0.38/0.59  (assume @p24 (and (not (= (tptp.place_of tptp.a) tptp.first)) (not (= @t26 tptp.holography))))
% 0.38/0.59  (assume @p25 (forall @t10 (=> @t27 (and (not (= @t19 tptp.reconstituted_materials_sculpture)) (not (= @t19 tptp.holography))))))
% 0.38/0.59  (assume @p26 @t34)
% 0.38/0.59  (assume @p27 (and (not (= @t36 tptp.fourth)) (forall @t10 (=> @t35 (not @t27)))))
% 0.38/0.59  (assume @p28 (and (not (= @t36 tptp.third)) (not (= (tptp.place_of tptp.c) tptp.third))))
% 0.38/0.59  (assume @p29 (and (not (= @t40 tptp.laser_etching)) @t39))
% 0.38/0.59  (assume @p30 @t44)
% 0.38/0.59  (assume @p31 true)
% 0.38/0.59  (step @p32 :rule eq-symm :args (@t11 tptp.reconstituted_materials_sculpture))
% 0.38/0.59  (step @p33 :rule eq-symm :args (@t11 tptp.laser_etching))
% 0.38/0.59  (step @p34 :rule eq-symm :args (@t11 tptp.holography))
% 0.38/0.59  (step @p35 :rule eq-symm :args (@t11 tptp.collage_painting))
% 0.38/0.59  (step @p36 :rule nary_cong :premises (@p35 @p34 @p33 @p32) :args (@t12))
% 0.38/0.59  (step @p37 :rule cong :premises (@p36) :args (@t14))
% 0.38/0.59  (step @p38 :rule eq_resolve :premises (@p20 @p37))
% 0.38/0.59  (step @p39 :rule refl :args (@t20))
% 0.38/0.59  (step @p40 :rule bool-double-not-elim :args (@t21))
% 0.38/0.59  (step @p41 :rule nary_cong :premises (@p40 @p39) :args ((or (not @t22) @t20)))
% 0.38/0.59  (step @p42 :rule bool-impl-elim :args (@t22 @t20))
% 0.38/0.59  (step @p43 :rule trans :premises (@p42 @p41))
% 0.38/0.59  (step @p44 :rule cong :premises (@p43) :args (@t24))
% 0.38/0.59  (step @p45 :rule eq_resolve :premises (@p22 @p44))
% 0.38/0.59  (step @p46 :rule instantiate :premises (@p45) :args ((@list tptp.c tptp.d)))
% 0.38/0.59  (step @p47 :rule cnf_or_pos :args (@t46))
% 0.38/0.59  (step @p48 :rule reordering :premises (@p47) :args ((or @t6 @t45 (not @t46))))
% 0.38/0.59  (step @p49 :rule chain_m_resolution :premises (@p48 @p6 @p46) :args (@t45 @t47 (@list @t6 @t46)))
% 0.38/0.59  (step @p50 :rule false_intro :premises (@p49))
% 0.38/0.59  (step @p51 :rule refl :args (@t41))
% 0.38/0.59  (step @p52 :rule instantiate :premises (@p38) :args ((@list @t42)))
% 0.38/0.59  (step @p53 :rule instantiate :premises (@p45) :args ((@list tptp.b tptp.c)))
% 0.38/0.59  (step @p54 :rule cnf_or_pos :args (@t49))
% 0.38/0.59  (step @p55 :rule reordering :premises (@p54) :args ((or @t4 @t48 (not @t49))))
% 0.38/0.59  (step @p56 :rule chain_m_resolution :premises (@p55 @p4 @p53) :args (@t48 @t47 (@list @t4 @t49)))
% 0.38/0.59  (step @p57 :rule false_intro :premises (@p56))
% 0.38/0.59  (step @p58 :rule refl :args (@t42))
% 0.38/0.59  (step @p59 :rule instantiate :premises (@p38) :args ((@list @t40)))
% 0.38/0.59  (step @p60 :rule instantiate :premises (@p45) :args ((@list tptp.a tptp.b)))
% 0.38/0.59  (step @p61 :rule cnf_or_pos :args (@t51))
% 0.38/0.59  (step @p62 :rule reordering :premises (@p61) :args ((or @t1 @t50 (not @t51))))
% 0.38/0.59  (step @p63 :rule chain_m_resolution :premises (@p62 @p1 @p60) :args (@t50 @t47 (@list @t1 @t51)))
% 0.38/0.59  (step @p64 :rule false_intro :premises (@p63))
% 0.38/0.59  (step @p65 :rule refl :args (@t40))
% 0.38/0.59  (step @p66 :rule instantiate :premises (@p38) :args ((@list @t26)))
% 0.38/0.59  (step @p67 :rule refl :args (@t53))
% 0.38/0.59  (step @p68 :rule aci_norm :args ((= (or false @t55) @t55)))
% 0.38/0.59  (step @p69 :rule refl :args (@t55))
% 0.38/0.59  (step @p70 :rule evaluate :args ((not true)))
% 0.38/0.59  (step @p71 :rule eq-refl :args (tptp.a))
% 0.38/0.59  (step @p72 :rule cong :premises (@p71) :args (@t56))
% 0.38/0.59  (step @p73 :rule trans :premises (@p72 @p70))
% 0.38/0.59  (step @p74 :rule nary_cong :premises (@p73 @p69) :args (@t57))
% 0.38/0.59  (step @p75 :rule trans :premises (@p74 @p68))
% 0.38/0.59  (step @p76 :rule quant-var-elim-eq :args ((= (forall @t61 (or (not (= @t58 tptp.a)) @t60 @t59)) @t57)))
% 0.38/0.59  (step @p77 :rule refl :args (@t59))
% 0.38/0.59  (step @p78 :rule refl :args (@t60))
% 0.38/0.59  (step @p79 :rule eq-symm :args (tptp.a @t58))
% 0.38/0.59  (step @p80 :rule cong :premises (@p79) :args (@t60))
% 0.38/0.59  (step @p81 :rule nary_cong :premises (@p80 @p78 @p77) :args (@t62))
% 0.38/0.59  (step @p82 :rule aci_norm :args ((= @t63 @t62)))
% 0.38/0.59  (step @p83 :rule trans :premises (@p82 @p81))
% 0.38/0.59  (step @p84 :rule cong :premises (@p83) :args (@t64))
% 0.38/0.59  (step @p85 :rule trans :premises (@p84 @p76))
% 0.38/0.59  (step @p86 :rule trans :premises (@p85 @p75))
% 0.38/0.59  (step @p87 :rule nary_cong :premises (@p86 @p67) :args ((and @t64 @t53)))
% 0.38/0.59  (step @p88 :rule alpha_equiv :args (@t69 @t70 (@list @t52)))
% 0.38/0.59  (step @p89 :rule alpha_equiv :args (@t73 @t70 (@list @t58)))
% 0.38/0.59  (step @p90 :rule nary_cong :premises (@p89 @p88) :args (@t74))
% 0.38/0.59  (step @p91 :rule quant-miniscope-and :args ((= (forall @t10 (and @t72 @t68)) @t74)))
% 0.38/0.59  (step @p92 :rule trans :premises (@p91 @p90))
% 0.38/0.59  (step @p93 :rule trans :premises (@p92 @p87))
% 0.38/0.59  (step @p94 :rule bool-or-and-distrib :args (@t71 @t67 true @t66 false))
% 0.38/0.59  (step @p95 :rule cong :premises (@p94) :args ((forall @t10 @t76)))
% 0.38/0.59  (step @p96 :rule trans :premises (@p95 @p93))
% 0.38/0.59  (step @p97 :rule aci_norm :args ((= @t77 @t76)))
% 0.38/0.59  (step @p98 :rule cong :premises (@p97) :args ((forall @t10 @t77)))
% 0.38/0.59  (step @p99 :rule trans :premises (@p98 @p96))
% 0.38/0.59  (step @p100 :rule bool-impl-elim :args (@t65 @t75))
% 0.38/0.59  (step @p101 :rule cong :premises (@p100) :args ((forall @t10 (=> @t65 @t75))))
% 0.38/0.59  (step @p102 :rule trans :premises (@p101 @p99))
% 0.38/0.59  (step @p103 :rule eq-symm :args (@t25 tptp.second))
% 0.38/0.59  (step @p104 :rule cong :premises (@p103) :args (@t28))
% 0.38/0.59  (step @p105 :rule eq-symm :args (@t7 tptp.a))
% 0.38/0.59  (step @p106 :rule cong :premises (@p105) :args (@t31))
% 0.38/0.59  (step @p107 :rule nary_cong :premises (@p106 @p104) :args (@t37))
% 0.38/0.59  (step @p108 :rule eq-symm :args (@t19 tptp.laser_etching))
% 0.38/0.59  (step @p109 :rule cong :premises (@p108 @p107) :args (@t38))
% 0.38/0.59  (step @p110 :rule cong :premises (@p109) :args (@t39))
% 0.38/0.59  (step @p111 :rule trans :premises (@p110 @p102))
% 0.38/0.59  (step @p112 :rule and_elim :premises (@p29) :args (1))
% 0.38/0.59  (step @p113 :rule eq_resolve :premises (@p112 @p111))
% 0.38/0.59  (step @p114 :rule and_elim :premises (@p113) :args (0))
% 0.38/0.59  (step @p115 :rule refl :args (@t79))
% 0.38/0.59  (step @p116 :rule refl :args (@t81))
% 0.38/0.59  (step @p117 :rule aci_norm :args ((= (or false @t83) @t83)))
% 0.38/0.59  (step @p118 :rule refl :args (@t83))
% 0.38/0.59  (step @p119 :rule eq-refl :args (tptp.c))
% 0.38/0.59  (step @p120 :rule cong :premises (@p119) :args (@t84))
% 0.38/0.59  (step @p121 :rule trans :premises (@p120 @p70))
% 0.38/0.59  (step @p122 :rule nary_cong :premises (@p121 @p118) :args (@t85))
% 0.38/0.59  (step @p123 :rule trans :premises (@p122 @p117))
% 0.38/0.59  (step @p124 :rule quant-var-elim-eq :args ((= (forall @t89 (or (not (= @t86 tptp.c)) @t88 @t87)) @t85)))
% 0.38/0.59  (step @p125 :rule refl :args (@t87))
% 0.38/0.59  (step @p126 :rule refl :args (@t88))
% 0.38/0.59  (step @p127 :rule eq-symm :args (tptp.c @t86))
% 0.38/0.59  (step @p128 :rule cong :premises (@p127) :args (@t88))
% 0.38/0.59  (step @p129 :rule nary_cong :premises (@p128 @p126 @p125) :args (@t90))
% 0.38/0.59  (step @p130 :rule aci_norm :args ((= @t91 @t90)))
% 0.38/0.59  (step @p131 :rule trans :premises (@p130 @p129))
% 0.38/0.59  (step @p132 :rule cong :premises (@p131) :args (@t92))
% 0.38/0.59  (step @p133 :rule trans :premises (@p132 @p124))
% 0.38/0.59  (step @p134 :rule trans :premises (@p133 @p123))
% 0.38/0.59  (step @p135 :rule aci_norm :args ((= (or false @t94) @t94)))
% 0.38/0.59  (step @p136 :rule refl :args (@t94))
% 0.38/0.59  (step @p137 :rule nary_cong :premises (@p73 @p136) :args (@t95))
% 0.38/0.59  (step @p138 :rule trans :premises (@p137 @p135))
% 0.38/0.59  (step @p139 :rule quant-var-elim-eq :args ((= (forall @t99 (or (not (= @t96 tptp.a)) @t98 @t97)) @t95)))
% 0.38/0.59  (step @p140 :rule refl :args (@t97))
% 0.38/0.59  (step @p141 :rule refl :args (@t98))
% 0.38/0.59  (step @p142 :rule eq-symm :args (tptp.a @t96))
% 0.38/0.59  (step @p143 :rule cong :premises (@p142) :args (@t98))
% 0.38/0.59  (step @p144 :rule nary_cong :premises (@p143 @p141 @p140) :args (@t100))
% 0.38/0.59  (step @p145 :rule aci_norm :args ((= @t101 @t100)))
% 0.38/0.59  (step @p146 :rule trans :premises (@p145 @p144))
% 0.38/0.59  (step @p147 :rule cong :premises (@p146) :args (@t102))
% 0.38/0.59  (step @p148 :rule trans :premises (@p147 @p139))
% 0.38/0.59  (step @p149 :rule trans :premises (@p148 @p138))
% 0.38/0.59  (step @p150 :rule nary_cong :premises (@p149 @p134 @p116 @p115) :args ((and @t102 @t92 @t81 @t79)))
% 0.38/0.59  (step @p151 :rule alpha_equiv :args (@t106 @t70 (@list @t78)))
% 0.38/0.59  (step @p152 :rule alpha_equiv :args (@t109 @t70 (@list @t80)))
% 0.38/0.59  (step @p153 :rule alpha_equiv :args (@t112 @t70 (@list @t86)))
% 0.38/0.59  (step @p154 :rule alpha_equiv :args (@t114 @t70 (@list @t96)))
% 0.38/0.59  (step @p155 :rule nary_cong :premises (@p154 @p153 @p152 @p151) :args (@t115))
% 0.38/0.59  (step @p156 :rule quant-miniscope-and :args ((= (forall @t10 @t116) @t115)))
% 0.38/0.59  (step @p157 :rule trans :premises (@p156 @p155))
% 0.38/0.59  (step @p158 :rule trans :premises (@p157 @p150))
% 0.38/0.59  (step @p159 :rule aci_norm :args ((= (and @t113 (and @t111 (and @t108 @t105))) @t116)))
% 0.38/0.59  (step @p160 :rule bool-or-and-distrib :args (@t107 @t67 true @t104 false))
% 0.38/0.59  (step @p161 :rule refl :args (@t111))
% 0.38/0.59  (step @p162 :rule nary_cong :premises (@p161 @p160) :args ((and @t111 (or (and @t107 @t67) @t104))))
% 0.38/0.59  (step @p163 :rule bool-or-and-distrib :args (@t110 @t107 (and @t67) @t104 false))
% 0.38/0.59  (step @p164 :rule trans :premises (@p163 @p162))
% 0.38/0.59  (step @p165 :rule refl :args (@t113))
% 0.38/0.59  (step @p166 :rule nary_cong :premises (@p165 @p164) :args ((and @t113 (or (and @t110 @t107 @t67) @t104))))
% 0.38/0.59  (step @p167 :rule bool-or-and-distrib :args (@t71 @t110 (and @t107 @t67) @t104 false))
% 0.38/0.59  (step @p168 :rule trans :premises (@p167 @p166))
% 0.38/0.59  (step @p169 :rule trans :premises (@p168 @p159))
% 0.38/0.59  (step @p170 :rule cong :premises (@p169) :args ((forall @t10 @t118)))
% 0.38/0.59  (step @p171 :rule trans :premises (@p170 @p158))
% 0.38/0.59  (step @p172 :rule aci_norm :args ((= @t119 @t118)))
% 0.38/0.59  (step @p173 :rule cong :premises (@p172) :args ((forall @t10 @t119)))
% 0.38/0.59  (step @p174 :rule trans :premises (@p173 @p171))
% 0.38/0.59  (step @p175 :rule bool-impl-elim :args (@t103 @t117))
% 0.38/0.59  (step @p176 :rule cong :premises (@p175) :args ((forall @t10 (=> @t103 @t117))))
% 0.38/0.59  (step @p177 :rule trans :premises (@p176 @p174))
% 0.38/0.59  (step @p178 :rule eq-symm :args (@t25 tptp.first))
% 0.38/0.59  (step @p179 :rule cong :premises (@p178) :args (@t29))
% 0.38/0.59  (step @p180 :rule eq-symm :args (@t7 tptp.c))
% 0.38/0.59  (step @p181 :rule cong :premises (@p180) :args (@t30))
% 0.38/0.59  (step @p182 :rule nary_cong :premises (@p106 @p181 @p179 @p104) :args (@t32))
% 0.38/0.59  (step @p183 :rule eq-symm :args (@t19 tptp.collage_painting))
% 0.38/0.59  (step @p184 :rule cong :premises (@p183 @p182) :args (@t33))
% 0.38/0.59  (step @p185 :rule cong :premises (@p184) :args (@t34))
% 0.38/0.59  (step @p186 :rule trans :premises (@p185 @p177))
% 0.38/0.59  (step @p187 :rule eq_resolve :premises (@p26 @p186))
% 0.38/0.59  (step @p188 :rule and_elim :premises (@p187) :args (0))
% 0.38/0.59  (step @p189 :rule and_elim :premises (@p24) :args (1))
% 0.38/0.59  (step @p190 :rule symm :premises (@p189))
% 0.38/0.59  (step @p191 :rule cnf_or_pos :args (@t122))
% 0.38/0.59  (step @p192 :rule reordering :premises (@p191) :args ((or @t121 @t93 @t54 @t120 (not @t122))))
% 0.38/0.59  (step @p193 :rule chain_m_resolution :premises (@p192 @p190 @p188 @p114 @p66) :args (@t120 @t123 (@list @t121 @t93 @t54 @t122)))
% 0.38/0.59  (step @p194 :rule cong :premises (@p193 @p65) :args (@t124))
% 0.38/0.59  (step @p195 :rule trans :premises (@p194 @p64))
% 0.38/0.59  (step @p196 :rule false_elim :premises (@p195))
% 0.38/0.59  (step @p197 :rule and_elim :premises (@p187) :args (2))
% 0.38/0.59  (step @p198 :rule instantiate :premises (@p197) :args (@t125))
% 0.38/0.59  (step @p199 :rule cnf_or_pos :args (@t130))
% 0.38/0.59  (step @p200 :rule reordering :premises (@p199) :args ((or @t129 @t127 (not @t130))))
% 0.38/0.59  (step @p201 :rule and_elim :premises (@p187) :args (3))
% 0.38/0.59  (step @p202 :rule instantiate :premises (@p201) :args (@t125))
% 0.38/0.59  (step @p203 :rule cnf_or_pos :args (@t133))
% 0.38/0.59  (step @p204 :rule reordering :premises (@p203) :args ((or @t127 @t132 (not @t133))))
% 0.38/0.59  (step @p205 :rule and_elim :premises (@p27) :args (0))
% 0.38/0.59  (step @p206 :rule symm :premises (@p205))
% 0.38/0.59  (step @p207 :rule and_elim :premises (@p28) :args (0))
% 0.38/0.59  (step @p208 :rule symm :premises (@p207))
% 0.38/0.59  (step @p209 :rule eq-symm :args (@t15 tptp.fourth))
% 0.38/0.59  (step @p210 :rule eq-symm :args (@t15 tptp.third))
% 0.38/0.59  (step @p211 :rule eq-symm :args (@t15 tptp.second))
% 0.38/0.59  (step @p212 :rule eq-symm :args (@t15 tptp.first))
% 0.38/0.59  (step @p213 :rule nary_cong :premises (@p212 @p211 @p210 @p209) :args (@t16))
% 0.38/0.59  (step @p214 :rule cong :premises (@p213) :args (@t17))
% 0.38/0.59  (step @p215 :rule eq_resolve :premises (@p21 @p214))
% 0.38/0.59  (step @p216 :rule instantiate :premises (@p215) :args ((@list @t36)))
% 0.38/0.59  (step @p217 :rule cnf_or_pos :args (@t136))
% 0.38/0.59  (step @p218 :rule reordering :premises (@p217) :args ((or @t134 @t135 @t128 @t131 (not @t136))))
% 0.38/0.59  (step @p219 :rule chain_m_resolution :premises (@p218 @p216 @p208 @p206 @p204 @p202 @p200 @p198) :args (@t127 (@list false true true true false true false) (@list @t136 @t135 @t134 @t131 @t133 @t128 @t130)))
% 0.38/0.59  (step @p220 :rule and_elim :premises (@p29) :args (0))
% 0.38/0.59  (step @p221 :rule symm :premises (@p220))
% 0.38/0.59  (step @p222 :rule cnf_or_pos :args (@t139))
% 0.38/0.59  (step @p223 :rule reordering :premises (@p222) :args ((or @t137 @t138 @t126 @t124 (not @t139))))
% 0.38/0.59  (step @p224 :rule chain_m_resolution :premises (@p223 @p221 @p219 @p196 @p59) :args (@t138 @t123 (@list @t137 @t126 @t124 @t139)))
% 0.38/0.59  (step @p225 :rule cong :premises (@p224 @p58) :args (@t140))
% 0.38/0.59  (step @p226 :rule trans :premises (@p225 @p57))
% 0.38/0.59  (step @p227 :rule false_elim :premises (@p226))
% 0.38/0.59  (step @p228 :rule instantiate :premises (@p45) :args ((@list tptp.a tptp.c)))
% 0.38/0.59  (step @p229 :rule cnf_or_pos :args (@t142))
% 0.38/0.59  (step @p230 :rule reordering :premises (@p229) :args ((or @t2 @t141 (not @t142))))
% 0.38/0.59  (step @p231 :rule chain_m_resolution :premises (@p230 @p2 @p228) :args (@t141 @t47 (@list @t2 @t142)))
% 0.38/0.59  (step @p232 :rule false_intro :premises (@p231))
% 0.38/0.59  (step @p233 :rule cong :premises (@p193 @p58) :args (@t143))
% 0.38/0.59  (step @p234 :rule trans :premises (@p233 @p232))
% 0.38/0.59  (step @p235 :rule false_elim :premises (@p234))
% 0.38/0.59  (step @p236 :rule and_elim :premises (@p187) :args (1))
% 0.38/0.59  (step @p237 :rule cnf_or_pos :args (@t145))
% 0.38/0.59  (step @p238 :rule reordering :premises (@p237) :args ((or @t82 @t144 @t143 @t140 (not @t145))))
% 0.38/0.59  (step @p239 :rule chain_m_resolution :premises (@p238 @p236 @p235 @p227 @p52) :args (@t144 @t123 (@list @t82 @t143 @t140 @t145)))
% 0.38/0.59  (step @p240 :rule cong :premises (@p239 @p51) :args (@t146))
% 0.38/0.59  (step @p241 :rule trans :premises (@p240 @p50))
% 0.38/0.59  (step @p242 :rule false_elim :premises (@p241))
% 0.38/0.59  (step @p243 :rule instantiate :premises (@p45) :args ((@list tptp.b tptp.d)))
% 0.38/0.59  (step @p244 :rule cnf_or_pos :args (@t148))
% 0.38/0.59  (step @p245 :rule reordering :premises (@p244) :args ((or @t5 @t147 (not @t148))))
% 0.38/0.59  (step @p246 :rule chain_m_resolution :premises (@p245 @p5 @p243) :args (@t147 @t47 (@list @t5 @t148)))
% 0.38/0.59  (step @p247 :rule false_intro :premises (@p246))
% 0.38/0.59  (step @p248 :rule cong :premises (@p224 @p51) :args (@t149))
% 0.38/0.59  (step @p249 :rule trans :premises (@p248 @p247))
% 0.38/0.59  (step @p250 :rule false_elim :premises (@p249))
% 0.38/0.59  (step @p251 :rule instantiate :premises (@p45) :args ((@list tptp.a tptp.d)))
% 0.38/0.59  (step @p252 :rule cnf_or_pos :args (@t151))
% 0.38/0.59  (step @p253 :rule reordering :premises (@p252) :args ((or @t3 @t150 (not @t151))))
% 0.38/0.59  (step @p254 :rule chain_m_resolution :premises (@p253 @p3 @p251) :args (@t150 @t47 (@list @t3 @t151)))
% 0.38/0.59  (step @p255 :rule false_intro :premises (@p254))
% 0.38/0.59  (step @p256 :rule cong :premises (@p193 @p51) :args (@t152))
% 0.38/0.59  (step @p257 :rule trans :premises (@p256 @p255))
% 0.38/0.59  (step @p258 :rule false_elim :premises (@p257))
% 0.38/0.59  (step @p259 :rule eq-symm :args (@t41 tptp.collage_painting))
% 0.38/0.59  (step @p260 :rule eq-symm :args (@t42 tptp.laser_etching))
% 0.38/0.59  (step @p261 :rule eq-symm :args (@t40 tptp.holography))
% 0.38/0.59  (step @p262 :rule eq-symm :args (@t26 tptp.reconstituted_materials_sculpture))
% 0.38/0.59  (step @p263 :rule nary_cong :premises (@p262 @p261 @p260 @p259) :args (@t43))
% 0.38/0.59  (step @p264 :rule cong :premises (@p263) :args (@t44))
% 0.38/0.59  (step @p265 :rule eq_resolve :premises (@p30 @p264))
% 0.38/0.59  (step @p266 :rule not_and :premises (@p265))
% 0.38/0.59  (step @p267 :rule chain_m_resolution :premises (@p266 @p193 @p224 @p239) :args ((not @t153) (@list false false false) (@list @t120 @t138 @t144)))
% 0.38/0.59  (step @p268 :rule cnf_or_pos :args (@t154))
% 0.38/0.59  (step @p269 :rule reordering :premises (@p268) :args ((or @t153 @t152 @t149 @t146 @t155)))
% 0.38/0.59  (step @p270 :rule chain_m_resolution :premises (@p269 @p267 @p258 @p250 @p242) :args (@t155 (@list true true true true) (@list @t153 @t152 @t149 @t146)))
% 0.38/0.59  (assume-push @p277 @t156)
% 0.38/0.59  (step @p272 :rule instantiate :premises (@p38) :args ((@list @t41)))
% 0.38/0.59  (step-pop @p278 :rule scope :premises (@p272))
% 0.38/0.59  (step @p273 :rule process_scope :premises (@p278) :args (@t154))
% 0.38/0.59  (step @p275 :rule implies_elim :premises (@p273))
% 0.38/0.59  (step @p276 false :rule chain_m_resolution :premises (@p275 @p270 @p38) :args (false @t47 (@list @t154 @t156)))
% 0.38/0.59  )
% 0.38/0.59  % SZS output end Proof
% 0.38/0.59  % cvc5 exiting
%------------------------------------------------------------------------------