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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : KRS117+1 : TPTP v9.2.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n007.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 08:28:57 AM UTC 2026

% Result   : Unsatisfiable 0.46s 0.66s
% Output   : Proof 0.46s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : KRS117+1 : TPTP v9.2.1. Released v3.1.0.
% 0.13/0.14  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.35  % Computer : n007.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 05:27:12 EDT 2026
% 0.18/0.35  % CPUTime  : 
% 0.32/0.52  %----Proving TF0_NAR, FOF, or CNF
% 0.32/0.53  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.46/0.66  % SZS status Unsatisfiable
% 0.46/0.66  % SZS output start Proof
% 0.46/0.67  (
% 0.46/0.67  (declare-sort $$unsorted 0)
% 0.46/0.67  (declare-const tptp.xsd_string (-> $$unsorted Bool))
% 0.46/0.67  (declare-const tptp.ca_Vx3 (-> $$unsorted Bool))
% 0.46/0.67  (declare-const tptp.cc (-> $$unsorted Bool))
% 0.46/0.67  (declare-const tptp.ccxcomp (-> $$unsorted Bool))
% 0.46/0.67  (declare-const tptp.cd (-> $$unsorted Bool))
% 0.46/0.67  (declare-const tptp.cUnsatisfiable (-> $$unsorted Bool))
% 0.46/0.67  (declare-const tptp.rr (-> $$unsorted $$unsorted Bool))
% 0.46/0.67  (declare-const tptp.cowlNothing (-> $$unsorted Bool))
% 0.46/0.67  (declare-const tptp.ra_Px1 (-> $$unsorted $$unsorted Bool))
% 0.46/0.67  (declare-const tptp.rf (-> $$unsorted $$unsorted Bool))
% 0.46/0.67  (declare-const tptp.cowlThing (-> $$unsorted Bool))
% 0.46/0.67  (declare-const tptp.rinvF (-> $$unsorted $$unsorted Bool))
% 0.46/0.67  (declare-const tptp.rinvR (-> $$unsorted $$unsorted Bool))
% 0.46/0.67  (declare-const tptp.i2003_11_14_17_21_37349 $$unsorted)
% 0.46/0.67  (declare-const tptp.xsd_integer (-> $$unsorted Bool))
% 0.46/0.67  (define @t1 () (@var "B" $$unsorted))
% 0.46/0.67  (define @t2 () (@var "A" $$unsorted))
% 0.46/0.67  (define @t3 () (= @t2 @t1))
% 0.46/0.67  (define @t4 () (@list @t2 @t1))
% 0.46/0.67  (define @t5 () (@var "C" $$unsorted))
% 0.46/0.67  (define @t6 () (@list @t2 @t1 @t5))
% 0.46/0.67  (define @t7 () (@var "X" $$unsorted))
% 0.46/0.67  (define @t8 () (not (tptp.cowlNothing @t7)))
% 0.46/0.67  (define @t9 () (tptp.cowlThing @t7))
% 0.46/0.67  (define @t10 () (@list @t7))
% 0.46/0.67  (define @t11 () (forall @t10 (and @t9 @t8)))
% 0.46/0.67  (define @t12 () (@var "Y" $$unsorted))
% 0.46/0.67  (define @t13 () (tptp.cd @t12))
% 0.46/0.67  (define @t14 () (tptp.rinvF @t7 @t12))
% 0.46/0.67  (define @t15 () (and @t14 @t13))
% 0.46/0.67  (define @t16 () (@list @t12))
% 0.46/0.67  (define @t17 () (exists @t16 @t15))
% 0.46/0.67  (define @t18 () (tptp.ca_Vx3 @t12))
% 0.46/0.67  (define @t19 () (tptp.rinvR @t7 @t12))
% 0.46/0.67  (define @t20 () (forall @t16 (=> @t19 @t18)))
% 0.46/0.67  (define @t21 () (tptp.ccxcomp @t7))
% 0.46/0.67  (define @t22 () (and @t21 @t20 @t17))
% 0.46/0.67  (define @t23 () (tptp.cUnsatisfiable @t7))
% 0.46/0.67  (define @t24 () (= @t23 @t22))
% 0.46/0.67  (define @t25 () (forall @t10 @t24))
% 0.46/0.67  (define @t26 () (tptp.ra_Px1 @t7 @t12))
% 0.46/0.67  (define @t27 () (exists @t16 @t26))
% 0.46/0.67  (define @t28 () (not @t27))
% 0.46/0.67  (define @t29 () (tptp.cc @t7))
% 0.46/0.67  (define @t30 () (= @t29 @t28))
% 0.46/0.67  (define @t31 () (forall @t10 @t30))
% 0.46/0.67  (define @t32 () (@var "Y0" $$unsorted))
% 0.46/0.67  (define @t33 () (tptp.ra_Px1 @t7 @t32))
% 0.46/0.67  (define @t34 () (@list @t32))
% 0.46/0.67  (define @t35 () (exists @t34 @t33))
% 0.46/0.67  (define @t36 () (= @t21 @t35))
% 0.46/0.67  (define @t37 () (forall @t10 @t36))
% 0.46/0.67  (define @t38 () (tptp.ccxcomp @t12))
% 0.46/0.67  (define @t39 () (tptp.rf @t7 @t12))
% 0.46/0.67  (define @t40 () (and @t39 @t38))
% 0.46/0.67  (define @t41 () (exists @t16 @t40))
% 0.46/0.67  (define @t42 () (and @t41 @t29))
% 0.46/0.67  (define @t43 () (tptp.cd @t7))
% 0.46/0.67  (define @t44 () (= @t43 @t42))
% 0.46/0.67  (define @t45 () (forall @t10 @t44))
% 0.46/0.67  (define @t46 () (tptp.ca_Vx3 @t7))
% 0.46/0.67  (define @t47 () (forall @t10 (= @t46 @t17)))
% 0.46/0.67  (define @t48 () (@var "Y1" $$unsorted))
% 0.46/0.67  (define @t49 () (= @t32 @t48))
% 0.46/0.67  (define @t50 () (tptp.rf @t7 @t48))
% 0.46/0.67  (define @t51 () (tptp.rf @t7 @t32))
% 0.46/0.67  (define @t52 () (and @t51 @t50))
% 0.46/0.67  (define @t53 () (@list @t32 @t48))
% 0.46/0.67  (define @t54 () (forall @t53 (=> @t52 @t49)))
% 0.46/0.67  (define @t55 () (=> @t9 @t54))
% 0.46/0.67  (define @t56 () (forall @t10 @t55))
% 0.46/0.67  (define @t57 () (@list @t7 @t12))
% 0.46/0.67  (define @t58 () (forall @t57 (= @t19 (tptp.rr @t12 @t7))))
% 0.46/0.67  (define @t59 () (@var "Z" $$unsorted))
% 0.46/0.67  (define @t60 () (tptp.rr @t7 @t12))
% 0.46/0.67  (define @t61 () (tptp.cUnsatisfiable tptp.i2003_11_14_17_21_37349))
% 0.46/0.67  (define @t62 () (forall @t57 (=> @t39 @t60)))
% 0.46/0.67  (define @t63 () (forall @t16 (not @t26)))
% 0.46/0.67  (define @t64 () (not @t13))
% 0.46/0.67  (define @t65 () (forall @t16 (or (not (tptp.rinvF tptp.i2003_11_14_17_21_37349 @t12)) @t64)))
% 0.46/0.67  (define @t66 () (@quantifiers_skolemize @t65 0))
% 0.46/0.67  (define @t67 () (@list @t66))
% 0.46/0.67  (define @t68 () (forall @t16 (not @t40)))
% 0.46/0.67  (define @t69 () (not @t68))
% 0.46/0.67  (define @t70 () (forall @t16 (not @t15)))
% 0.46/0.67  (define @t71 () (not @t70))
% 0.46/0.67  (define @t72 () (not @t65))
% 0.46/0.67  (define @t73 () (forall @t16 (or (not (tptp.rinvR tptp.i2003_11_14_17_21_37349 @t12)) @t18)))
% 0.46/0.67  (define @t74 () (and (tptp.ccxcomp tptp.i2003_11_14_17_21_37349) @t73 @t72))
% 0.46/0.67  (define @t75 () (= @t61 @t74))
% 0.46/0.67  (define @t76 () (@list false false))
% 0.46/0.67  (define @t77 () (not @t74))
% 0.46/0.67  (define @t78 () (@list false))
% 0.46/0.67  (define @t79 () (@list @t74))
% 0.46/0.67  (define @t80 () (tptp.cd @t66))
% 0.46/0.67  (define @t81 () (not @t80))
% 0.46/0.67  (define @t82 () (tptp.rinvF tptp.i2003_11_14_17_21_37349 @t66))
% 0.46/0.67  (define @t83 () (not @t82))
% 0.46/0.67  (define @t84 () (or @t83 @t81))
% 0.46/0.67  (define @t85 () (@list true))
% 0.46/0.67  (define @t86 () (@list @t84))
% 0.46/0.67  (define @t87 () (tptp.cc @t66))
% 0.46/0.67  (define @t88 () (not @t38))
% 0.46/0.67  (define @t89 () (and (not (forall @t16 (or (not (tptp.rf @t66 @t12)) @t88))) @t87))
% 0.46/0.67  (define @t90 () (= @t80 @t89))
% 0.46/0.67  (define @t91 () (forall @t16 (not (tptp.ra_Px1 @t66 @t12))))
% 0.46/0.67  (define @t92 () (= @t87 @t91))
% 0.46/0.67  (define @t93 () (forall @t16 (or (not (tptp.rinvF @t66 @t12)) @t64)))
% 0.46/0.67  (define @t94 () (@quantifiers_skolemize @t93 0))
% 0.46/0.67  (define @t95 () (forall @t16 (or (not (tptp.rf @t94 @t12)) @t88)))
% 0.46/0.67  (define @t96 () (@quantifiers_skolemize @t95 0))
% 0.46/0.67  (define @t97 () (forall @t34 (not (tptp.ra_Px1 @t96 @t32))))
% 0.46/0.67  (define @t98 () (@quantifiers_skolemize @t97 0))
% 0.46/0.67  (define @t99 () (@var "BOUND_VARIABLE_7909" $$unsorted))
% 0.46/0.67  (define @t100 () (@var "BOUND_VARIABLE_7907" $$unsorted))
% 0.46/0.67  (define @t101 () (= @t100 @t99))
% 0.46/0.67  (define @t102 () (not (tptp.rf @t7 @t99)))
% 0.46/0.67  (define @t103 () (not (tptp.rf @t7 @t100)))
% 0.46/0.67  (define @t104 () (not @t9))
% 0.46/0.67  (define @t105 () (or @t103 @t102 @t101))
% 0.46/0.67  (define @t106 () (or @t104 @t105))
% 0.46/0.67  (define @t107 () (forall (@list @t7 @t100 @t99) @t106))
% 0.46/0.67  (define @t108 () (@list @t100 @t99))
% 0.46/0.67  (define @t109 () (forall @t108 @t106))
% 0.46/0.67  (define @t110 () (forall @t108 @t105))
% 0.46/0.67  (define @t111 () (or @t104 @t110))
% 0.46/0.67  (define @t112 () (not @t50))
% 0.46/0.67  (define @t113 () (not @t51))
% 0.46/0.67  (define @t114 () (or @t113 @t112 @t49))
% 0.46/0.67  (define @t115 () (forall @t53 @t114))
% 0.46/0.67  (define @t116 () (forall @t10 @t8))
% 0.46/0.67  (define @t117 () (@list @t7))
% 0.46/0.67  (define @t118 () (forall @t10 @t9))
% 0.46/0.67  (define @t119 () (and @t118 @t116))
% 0.46/0.67  (define @t120 () (@list @t94))
% 0.46/0.67  (define @t121 () (tptp.rinvR tptp.i2003_11_14_17_21_37349 @t66))
% 0.46/0.67  (define @t122 () (tptp.rr @t66 tptp.i2003_11_14_17_21_37349))
% 0.46/0.67  (define @t123 () (= @t121 @t122))
% 0.46/0.67  (define @t124 () (@list tptp.i2003_11_14_17_21_37349 @t66))
% 0.46/0.67  (define @t125 () (= @t122 @t121))
% 0.46/0.67  (define @t126 () (tptp.rf @t66 tptp.i2003_11_14_17_21_37349))
% 0.46/0.67  (define @t127 () (= @t82 @t126))
% 0.46/0.67  (define @t128 () (not @t126))
% 0.46/0.67  (define @t129 () (or @t128 @t122))
% 0.46/0.67  (define @t130 () (tptp.ca_Vx3 @t66))
% 0.46/0.67  (define @t131 () (not @t121))
% 0.46/0.67  (define @t132 () (or @t131 @t130))
% 0.46/0.67  (define @t133 () (not @t93))
% 0.46/0.67  (define @t134 () (= @t130 @t133))
% 0.46/0.67  (define @t135 () (tptp.cd @t94))
% 0.46/0.67  (define @t136 () (not @t135))
% 0.46/0.67  (define @t137 () (tptp.rinvF @t66 @t94))
% 0.46/0.67  (define @t138 () (not @t137))
% 0.46/0.67  (define @t139 () (or @t138 @t136))
% 0.46/0.67  (define @t140 () (@list @t139))
% 0.46/0.67  (define @t141 () (not @t95))
% 0.46/0.67  (define @t142 () (and @t141 (tptp.cc @t94)))
% 0.46/0.67  (define @t143 () (= @t135 @t142))
% 0.46/0.67  (define @t144 () (tptp.rf @t94 @t96))
% 0.46/0.67  (define @t145 () (tptp.ccxcomp @t96))
% 0.46/0.67  (define @t146 () (not @t145))
% 0.46/0.67  (define @t147 () (not @t144))
% 0.46/0.67  (define @t148 () (or @t147 @t146))
% 0.46/0.67  (define @t149 () (@list @t148))
% 0.46/0.67  (define @t150 () (tptp.rf @t94 @t66))
% 0.46/0.67  (define @t151 () (= @t137 @t150))
% 0.46/0.67  (define @t152 () (= @t66 @t96))
% 0.46/0.67  (define @t153 () (not @t150))
% 0.46/0.67  (define @t154 () (tptp.cowlThing @t94))
% 0.46/0.67  (define @t155 () (not @t154))
% 0.46/0.67  (define @t156 () (or @t155 @t153 @t147 @t152))
% 0.46/0.67  (define @t157 () (tptp.ra_Px1 @t96 @t98))
% 0.46/0.67  (define @t158 () (not @t97))
% 0.46/0.67  (define @t159 () (= @t145 @t158))
% 0.46/0.67  (define @t160 () (not (not @t157)))
% 0.46/0.67  (assume @p1 (forall @t4 (=> (and @t3 (tptp.cUnsatisfiable @t2)) (tptp.cUnsatisfiable @t1))))
% 0.46/0.67  (assume @p2 (forall @t4 (=> (and @t3 (tptp.ca_Vx3 @t2)) (tptp.ca_Vx3 @t1))))
% 0.46/0.67  (assume @p3 (forall @t4 (=> (and @t3 (tptp.cc @t2)) (tptp.cc @t1))))
% 0.46/0.67  (assume @p4 (forall @t4 (=> (and @t3 (tptp.ccxcomp @t2)) (tptp.ccxcomp @t1))))
% 0.46/0.67  (assume @p5 (forall @t4 (=> (and @t3 (tptp.cd @t2)) (tptp.cd @t1))))
% 0.46/0.67  (assume @p6 (forall @t4 (=> (and @t3 (tptp.cowlNothing @t2)) (tptp.cowlNothing @t1))))
% 0.46/0.67  (assume @p7 (forall @t4 (=> (and @t3 (tptp.cowlThing @t2)) (tptp.cowlThing @t1))))
% 0.46/0.67  (assume @p8 (forall @t6 (=> (and @t3 (tptp.ra_Px1 @t2 @t5)) (tptp.ra_Px1 @t1 @t5))))
% 0.46/0.67  (assume @p9 (forall @t6 (=> (and @t3 (tptp.ra_Px1 @t5 @t2)) (tptp.ra_Px1 @t5 @t1))))
% 0.46/0.67  (assume @p10 (forall @t6 (=> (and @t3 (tptp.rf @t2 @t5)) (tptp.rf @t1 @t5))))
% 0.46/0.67  (assume @p11 (forall @t6 (=> (and @t3 (tptp.rf @t5 @t2)) (tptp.rf @t5 @t1))))
% 0.46/0.67  (assume @p12 (forall @t6 (=> (and @t3 (tptp.rinvF @t2 @t5)) (tptp.rinvF @t1 @t5))))
% 0.46/0.67  (assume @p13 (forall @t6 (=> (and @t3 (tptp.rinvF @t5 @t2)) (tptp.rinvF @t5 @t1))))
% 0.46/0.67  (assume @p14 (forall @t6 (=> (and @t3 (tptp.rinvR @t2 @t5)) (tptp.rinvR @t1 @t5))))
% 0.46/0.67  (assume @p15 (forall @t6 (=> (and @t3 (tptp.rinvR @t5 @t2)) (tptp.rinvR @t5 @t1))))
% 0.46/0.67  (assume @p16 (forall @t6 (=> (and @t3 (tptp.rr @t2 @t5)) (tptp.rr @t1 @t5))))
% 0.46/0.67  (assume @p17 (forall @t6 (=> (and @t3 (tptp.rr @t5 @t2)) (tptp.rr @t5 @t1))))
% 0.46/0.67  (assume @p18 (forall @t4 (=> (and @t3 (tptp.xsd_integer @t2)) (tptp.xsd_integer @t1))))
% 0.46/0.67  (assume @p19 (forall @t4 (=> (and @t3 (tptp.xsd_string @t2)) (tptp.xsd_string @t1))))
% 0.46/0.67  (assume @p20 @t11)
% 0.46/0.67  (assume @p21 (forall @t10 (= (tptp.xsd_string @t7) (not (tptp.xsd_integer @t7)))))
% 0.46/0.67  (assume @p22 @t25)
% 0.46/0.67  (assume @p23 @t31)
% 0.46/0.67  (assume @p24 @t37)
% 0.46/0.67  (assume @p25 @t45)
% 0.46/0.67  (assume @p26 @t47)
% 0.46/0.67  (assume @p27 @t56)
% 0.46/0.67  (assume @p28 (forall @t57 (= @t14 (tptp.rf @t12 @t7))))
% 0.46/0.67  (assume @p29 @t58)
% 0.46/0.67  (assume @p30 (forall (@list @t7 @t12 @t59) (=> (and @t60 (tptp.rr @t12 @t59)) (tptp.rr @t7 @t59))))
% 0.46/0.67  (assume @p31 @t61)
% 0.46/0.67  (assume @p32 @t62)
% 0.46/0.67  (step @p33 :rule evaluate :args ((= true false)))
% 0.46/0.67  (step @p34 :rule bool-double-not-elim :args (@t63))
% 0.46/0.67  (step @p35 :rule exists-elim :args ((= @t27 (not @t63))))
% 0.46/0.67  (step @p36 :rule cong :premises (@p35) :args (@t28))
% 0.46/0.67  (step @p37 :rule trans :premises (@p36 @p34))
% 0.46/0.67  (step @p38 :rule refl :args (@t29))
% 0.46/0.67  (step @p39 :rule cong :premises (@p38 @p37) :args (@t30))
% 0.46/0.67  (step @p40 :rule cong :premises (@p39) :args (@t31))
% 0.46/0.67  (step @p41 :rule eq_resolve :premises (@p23 @p40))
% 0.46/0.67  (step @p42 :rule instantiate :premises (@p41) :args (@t67))
% 0.46/0.67  (step @p43 :rule bool-and-de-morgan :args (@t39 @t38 true))
% 0.46/0.67  (step @p44 :rule cong :premises (@p43) :args (@t68))
% 0.46/0.67  (step @p45 :rule cong :premises (@p44) :args (@t69))
% 0.46/0.67  (step @p46 :rule exists-elim :args ((= @t41 @t69)))
% 0.46/0.67  (step @p47 :rule trans :premises (@p46 @p45))
% 0.46/0.67  (step @p48 :rule nary_cong :premises (@p47 @p38) :args (@t42))
% 0.46/0.67  (step @p49 :rule refl :args (@t43))
% 0.46/0.67  (step @p50 :rule cong :premises (@p49 @p48) :args (@t44))
% 0.46/0.67  (step @p51 :rule cong :premises (@p50) :args (@t45))
% 0.46/0.67  (step @p52 :rule eq_resolve :premises (@p25 @p51))
% 0.46/0.67  (step @p53 :rule instantiate :premises (@p52) :args (@t67))
% 0.46/0.67  (step @p54 :rule bool-and-de-morgan :args (@t14 @t13 true))
% 0.46/0.67  (step @p55 :rule cong :premises (@p54) :args (@t70))
% 0.46/0.67  (step @p56 :rule cong :premises (@p55) :args (@t71))
% 0.46/0.67  (step @p57 :rule exists-elim :args ((= @t17 @t71)))
% 0.46/0.67  (step @p58 :rule trans :premises (@p57 @p56))
% 0.46/0.67  (step @p59 :rule bool-impl-elim :args (@t19 @t18))
% 0.46/0.67  (step @p60 :rule cong :premises (@p59) :args (@t20))
% 0.46/0.67  (step @p61 :rule refl :args (@t21))
% 0.46/0.67  (step @p62 :rule nary_cong :premises (@p61 @p60 @p58) :args (@t22))
% 0.46/0.67  (step @p63 :rule refl :args (@t23))
% 0.46/0.67  (step @p64 :rule cong :premises (@p63 @p62) :args (@t24))
% 0.46/0.67  (step @p65 :rule cong :premises (@p64) :args (@t25))
% 0.46/0.67  (step @p66 :rule eq_resolve :premises (@p22 @p65))
% 0.46/0.67  (step @p67 :rule instantiate :premises (@p66) :args ((@list tptp.i2003_11_14_17_21_37349)))
% 0.46/0.67  (step @p68 :rule cnf_equiv_pos1 :args (@t75))
% 0.46/0.67  (step @p69 :rule reordering :premises (@p68) :args ((or (not @t61) @t74 (not @t75))))
% 0.46/0.67  (step @p70 :rule chain_m_resolution :premises (@p69 @p31 @p67) :args (@t74 @t76 (@list @t61 @t75)))
% 0.46/0.67  (step @p71 :rule cnf_and_pos :args (@t74 2))
% 0.46/0.67  (step @p72 :rule reordering :premises (@p71) :args ((or @t72 @t77)))
% 0.46/0.67  (step @p73 :rule chain_m_resolution :premises (@p72 @p70) :args (@t72 @t78 @t79))
% 0.46/0.67  (step @p74 :rule skolemize :premises (@p73))
% 0.46/0.67  (step @p75 :rule bool-double-not-elim :args (@t80))
% 0.46/0.67  (step @p76 :rule refl :args (@t84))
% 0.46/0.67  (step @p77 :rule nary_cong :premises (@p76 @p75) :args ((or @t84 (not @t81))))
% 0.46/0.67  (step @p78 :rule cnf_or_neg :args (@t84 1))
% 0.46/0.67  (step @p79 :rule eq_resolve :premises (@p78 @p77))
% 0.46/0.67  (step @p80 :rule reordering :premises (@p79) :args ((or @t80 @t84)))
% 0.46/0.67  (step @p81 :rule chain_m_resolution :premises (@p80 @p74) :args (@t80 @t85 @t86))
% 0.46/0.67  (step @p82 :rule cnf_equiv_pos1 :args (@t90))
% 0.46/0.67  (step @p83 :rule reordering :premises (@p82) :args ((or @t81 @t89 (not @t90))))
% 0.46/0.67  (step @p84 :rule chain_m_resolution :premises (@p83 @p81 @p53) :args (@t89 @t76 (@list @t80 @t90)))
% 0.46/0.67  (step @p85 :rule cnf_and_pos :args (@t89 1))
% 0.46/0.67  (step @p86 :rule reordering :premises (@p85) :args ((or @t87 (not @t89))))
% 0.46/0.67  (step @p87 :rule chain_m_resolution :premises (@p86 @p84) :args (@t87 @t78 (@list @t89)))
% 0.46/0.67  (step @p88 :rule cnf_equiv_pos1 :args (@t92))
% 0.46/0.67  (step @p89 :rule reordering :premises (@p88) :args ((or (not @t87) @t91 (not @t92))))
% 0.46/0.67  (step @p90 :rule chain_m_resolution :premises (@p89 @p87 @p42) :args (@t91 @t76 (@list @t87 @t92)))
% 0.46/0.67  (step @p91 :rule instantiate :premises (@p90) :args ((@list @t98)))
% 0.46/0.67  (step @p92 :rule false_intro :premises (@p91))
% 0.46/0.67  (step @p93 :rule refl :args (@t98))
% 0.46/0.67  (step @p94 :rule aci_norm :args ((= @t106 (or @t104 @t103 @t102 @t101))))
% 0.46/0.67  (step @p95 :rule cong :premises (@p94) :args (@t107))
% 0.46/0.67  (step @p96 :rule quant-merge-prenex :args ((= (forall @t10 @t109) @t107)))
% 0.46/0.67  (step @p97 :rule alpha_equiv :args (@t110 (@list @t100 @t99) (@list @t32 @t48)))
% 0.46/0.67  (step @p98 :rule refl :args (@t104))
% 0.46/0.67  (step @p99 :rule nary_cong :premises (@p98 @p97) :args (@t111))
% 0.46/0.67  (step @p100 :rule quant-miniscope-or :args ((= @t109 @t111)))
% 0.46/0.67  (step @p101 :rule trans :premises (@p100 @p99))
% 0.46/0.67  (step @p102 :rule symm :premises (@p101))
% 0.46/0.67  (step @p103 :rule cong :premises (@p102) :args ((forall @t10 (or @t104 @t115))))
% 0.46/0.67  (step @p104 :rule trans :premises (@p103 @p96))
% 0.46/0.67  (step @p105 :rule trans :premises (@p104 @p95))
% 0.46/0.67  (step @p106 :rule bool-impl-elim :args (@t9 @t115))
% 0.46/0.67  (step @p107 :rule cong :premises (@p106) :args ((forall @t10 (=> @t9 @t115))))
% 0.46/0.67  (step @p108 :rule trans :premises (@p107 @p105))
% 0.46/0.67  (step @p109 :rule aci_norm :args ((= (or (or @t113 @t112) @t49) @t114)))
% 0.46/0.67  (step @p110 :rule refl :args (@t49))
% 0.46/0.67  (step @p111 :rule bool-and-de-morgan :args (@t51 @t50 true))
% 0.46/0.67  (step @p112 :rule nary_cong :premises (@p111 @p110) :args ((or (not @t52) @t49)))
% 0.46/0.67  (step @p113 :rule trans :premises (@p112 @p109))
% 0.46/0.67  (step @p114 :rule bool-impl-elim :args (@t52 @t49))
% 0.46/0.67  (step @p115 :rule trans :premises (@p114 @p113))
% 0.46/0.67  (step @p116 :rule cong :premises (@p115) :args (@t54))
% 0.46/0.67  (step @p117 :rule refl :args (@t9))
% 0.46/0.67  (step @p118 :rule cong :premises (@p117 @p116) :args (@t55))
% 0.46/0.67  (step @p119 :rule cong :premises (@p118) :args (@t56))
% 0.46/0.67  (step @p120 :rule trans :premises (@p119 @p108))
% 0.46/0.67  (step @p121 :rule eq_resolve :premises (@p27 @p120))
% 0.46/0.67  (step @p122 :rule instantiate :premises (@p121) :args ((@list @t94 @t66 @t96)))
% 0.46/0.67  (step @p123 :rule alpha_equiv :args (@t116 @t117 (@list (@var "BOUND_VARIABLE_7843" $$unsorted))))
% 0.46/0.67  (step @p124 :rule alpha_equiv :args (@t118 @t117 (@list (@var "BOUND_VARIABLE_7838" $$unsorted))))
% 0.46/0.67  (step @p125 :rule nary_cong :premises (@p124 @p123) :args (@t119))
% 0.46/0.67  (step @p126 :rule quant-miniscope-and :args ((= @t11 @t119)))
% 0.46/0.67  (step @p127 :rule trans :premises (@p126 @p125))
% 0.46/0.67  (step @p128 :rule eq_resolve :premises (@p20 @p127))
% 0.46/0.67  (step @p129 :rule and_elim :premises (@p128) :args (0))
% 0.46/0.67  (step @p130 :rule instantiate :premises (@p129) :args (@t120))
% 0.46/0.67  (step @p131 :rule instantiate :premises (@p52) :args (@t120))
% 0.46/0.67  (step @p132 :rule eq-symm :args ((not (forall @t16 (or (not @t14) @t64))) @t46))
% 0.46/0.67  (step @p133 :rule refl :args (@t46))
% 0.46/0.67  (step @p134 :rule cong :premises (@p58 @p133) :args ((= @t17 @t46)))
% 0.46/0.67  (step @p135 :rule trans :premises (@p134 @p132))
% 0.46/0.67  (step @p136 :rule eq-symm :args (@t46 @t17))
% 0.46/0.67  (step @p137 :rule trans :premises (@p136 @p135))
% 0.46/0.67  (step @p138 :rule cong :premises (@p137) :args (@t47))
% 0.46/0.67  (step @p139 :rule eq_resolve :premises (@p26 @p138))
% 0.46/0.67  (step @p140 :rule instantiate :premises (@p139) :args (@t67))
% 0.46/0.67  (step @p141 :rule cnf_and_pos :args (@t74 1))
% 0.46/0.67  (step @p142 :rule reordering :premises (@p141) :args ((or @t73 @t77)))
% 0.46/0.67  (step @p143 :rule chain_m_resolution :premises (@p142 @p70) :args (@t73 @t78 @t79))
% 0.46/0.67  (step @p144 :rule instantiate :premises (@p143) :args (@t67))
% 0.46/0.67  (step @p145 :rule eq-symm :args (@t121 @t122))
% 0.46/0.67  (step @p146 :rule refl :args (@t58))
% 0.46/0.67  (step @p147 :rule cong :premises (@p146 @p145) :args ((=> @t58 @t123)))
% 0.46/0.67  (assume-push @p250 @t58)
% 0.46/0.67  (step @p149 :rule instantiate :premises (@p29) :args (@t124))
% 0.46/0.67  (step-pop @p251 :rule scope :premises (@p149))
% 0.46/0.67  (step @p150 :rule process_scope :premises (@p251) :args (@t123))
% 0.46/0.67  (step @p152 :rule eq_resolve :premises (@p150 @p147))
% 0.46/0.67  (step @p153 :rule implies_elim :premises (@p152))
% 0.46/0.67  (step @p154 :rule chain_m_resolution :premises (@p153 @p29) :args (@t125 @t78 (@list @t58)))
% 0.46/0.67  (step @p155 :rule bool-impl-elim :args (@t39 @t60))
% 0.46/0.67  (step @p156 :rule cong :premises (@p155) :args (@t62))
% 0.46/0.67  (step @p157 :rule eq_resolve :premises (@p32 @p156))
% 0.46/0.67  (step @p158 :rule instantiate :premises (@p157) :args ((@list @t66 tptp.i2003_11_14_17_21_37349)))
% 0.46/0.67  (step @p159 :rule instantiate :premises (@p28) :args (@t124))
% 0.46/0.67  (step @p160 :rule bool-double-not-elim :args (@t82))
% 0.46/0.67  (step @p161 :rule nary_cong :premises (@p76 @p160) :args ((or @t84 (not @t83))))
% 0.46/0.67  (step @p162 :rule cnf_or_neg :args (@t84 0))
% 0.46/0.67  (step @p163 :rule eq_resolve :premises (@p162 @p161))
% 0.46/0.67  (step @p164 :rule reordering :premises (@p163) :args ((or @t82 @t84)))
% 0.46/0.67  (step @p165 :rule chain_m_resolution :premises (@p164 @p74) :args (@t82 @t85 @t86))
% 0.46/0.67  (step @p166 :rule cnf_equiv_pos1 :args (@t127))
% 0.46/0.67  (step @p167 :rule reordering :premises (@p166) :args ((or @t83 @t126 (not @t127))))
% 0.46/0.67  (step @p168 :rule chain_m_resolution :premises (@p167 @p165 @p159) :args (@t126 @t76 (@list @t82 @t127)))
% 0.46/0.67  (step @p169 :rule cnf_or_pos :args (@t129))
% 0.46/0.67  (step @p170 :rule reordering :premises (@p169) :args ((or @t128 @t122 (not @t129))))
% 0.46/0.67  (step @p171 :rule chain_m_resolution :premises (@p170 @p168 @p158) :args (@t122 @t76 (@list @t126 @t129)))
% 0.46/0.67  (step @p172 :rule cnf_equiv_pos1 :args (@t125))
% 0.46/0.67  (step @p173 :rule reordering :premises (@p172) :args ((or (not @t122) @t121 (not @t125))))
% 0.46/0.67  (step @p174 :rule chain_m_resolution :premises (@p173 @p171 @p154) :args (@t121 @t76 (@list @t122 @t125)))
% 0.46/0.67  (step @p175 :rule cnf_or_pos :args (@t132))
% 0.46/0.67  (step @p176 :rule reordering :premises (@p175) :args ((or @t131 @t130 (not @t132))))
% 0.46/0.67  (step @p177 :rule chain_m_resolution :premises (@p176 @p174 @p144) :args (@t130 @t76 (@list @t121 @t132)))
% 0.46/0.67  (step @p178 :rule cnf_equiv_pos1 :args (@t134))
% 0.46/0.67  (step @p179 :rule reordering :premises (@p178) :args ((or (not @t130) @t133 (not @t134))))
% 0.46/0.67  (step @p180 :rule chain_m_resolution :premises (@p179 @p177 @p140) :args (@t133 @t76 (@list @t130 @t134)))
% 0.46/0.67  (step @p181 :rule skolemize :premises (@p180))
% 0.46/0.67  (step @p182 :rule bool-double-not-elim :args (@t135))
% 0.46/0.67  (step @p183 :rule refl :args (@t139))
% 0.46/0.67  (step @p184 :rule nary_cong :premises (@p183 @p182) :args ((or @t139 (not @t136))))
% 0.46/0.67  (step @p185 :rule cnf_or_neg :args (@t139 1))
% 0.46/0.67  (step @p186 :rule eq_resolve :premises (@p185 @p184))
% 0.46/0.67  (step @p187 :rule reordering :premises (@p186) :args ((or @t135 @t139)))
% 0.46/0.67  (step @p188 :rule chain_m_resolution :premises (@p187 @p181) :args (@t135 @t85 @t140))
% 0.46/0.67  (step @p189 :rule cnf_equiv_pos1 :args (@t143))
% 0.46/0.67  (step @p190 :rule reordering :premises (@p189) :args ((or @t136 @t142 (not @t143))))
% 0.46/0.67  (step @p191 :rule chain_m_resolution :premises (@p190 @p188 @p131) :args (@t142 @t76 (@list @t135 @t143)))
% 0.46/0.67  (step @p192 :rule cnf_and_pos :args (@t142 0))
% 0.46/0.67  (step @p193 :rule reordering :premises (@p192) :args ((or @t141 (not @t142))))
% 0.46/0.67  (step @p194 :rule chain_m_resolution :premises (@p193 @p191) :args (@t141 @t78 (@list @t142)))
% 0.46/0.67  (step @p195 :rule skolemize :premises (@p194))
% 0.46/0.67  (step @p196 :rule bool-double-not-elim :args (@t144))
% 0.46/0.67  (step @p197 :rule refl :args (@t148))
% 0.46/0.67  (step @p198 :rule nary_cong :premises (@p197 @p196) :args ((or @t148 (not @t147))))
% 0.46/0.67  (step @p199 :rule cnf_or_neg :args (@t148 0))
% 0.46/0.67  (step @p200 :rule eq_resolve :premises (@p199 @p198))
% 0.46/0.67  (step @p201 :rule reordering :premises (@p200) :args ((or @t144 @t148)))
% 0.46/0.67  (step @p202 :rule chain_m_resolution :premises (@p201 @p195) :args (@t144 @t85 @t149))
% 0.46/0.67  (step @p203 :rule instantiate :premises (@p28) :args ((@list @t66 @t94)))
% 0.46/0.67  (step @p204 :rule bool-double-not-elim :args (@t137))
% 0.46/0.67  (step @p205 :rule nary_cong :premises (@p183 @p204) :args ((or @t139 (not @t138))))
% 0.46/0.67  (step @p206 :rule cnf_or_neg :args (@t139 0))
% 0.46/0.67  (step @p207 :rule eq_resolve :premises (@p206 @p205))
% 0.46/0.67  (step @p208 :rule reordering :premises (@p207) :args ((or @t137 @t139)))
% 0.46/0.67  (step @p209 :rule chain_m_resolution :premises (@p208 @p181) :args (@t137 @t85 @t140))
% 0.46/0.67  (step @p210 :rule cnf_equiv_pos1 :args (@t151))
% 0.46/0.67  (step @p211 :rule reordering :premises (@p210) :args ((or @t138 @t150 (not @t151))))
% 0.46/0.67  (step @p212 :rule chain_m_resolution :premises (@p211 @p209 @p203) :args (@t150 @t76 (@list @t137 @t151)))
% 0.46/0.67  (step @p213 :rule cnf_or_pos :args (@t156))
% 0.46/0.67  (step @p214 :rule reordering :premises (@p213) :args ((or @t153 @t147 @t155 @t152 (not @t156))))
% 0.46/0.67  (step @p215 :rule chain_m_resolution :premises (@p214 @p212 @p202 @p130 @p122) :args (@t152 (@list false false false false) (@list @t150 @t144 @t154 @t156)))
% 0.46/0.67  (step @p216 :rule symm :premises (@p215))
% 0.46/0.67  (step @p217 :rule cong :premises (@p216 @p93) :args (@t157))
% 0.46/0.67  (step @p218 :rule exists-elim :args ((= @t35 (not (forall @t34 (not @t33))))))
% 0.46/0.67  (step @p219 :rule cong :premises (@p61 @p218) :args (@t36))
% 0.46/0.67  (step @p220 :rule cong :premises (@p219) :args (@t37))
% 0.46/0.67  (step @p221 :rule eq_resolve :premises (@p24 @p220))
% 0.46/0.67  (step @p222 :rule instantiate :premises (@p221) :args ((@list @t96)))
% 0.46/0.67  (step @p223 :rule bool-double-not-elim :args (@t145))
% 0.46/0.67  (step @p224 :rule nary_cong :premises (@p197 @p223) :args ((or @t148 (not @t146))))
% 0.46/0.67  (step @p225 :rule cnf_or_neg :args (@t148 1))
% 0.46/0.67  (step @p226 :rule eq_resolve :premises (@p225 @p224))
% 0.46/0.67  (step @p227 :rule reordering :premises (@p226) :args ((or @t145 @t148)))
% 0.46/0.67  (step @p228 :rule chain_m_resolution :premises (@p227 @p195) :args (@t145 @t85 @t149))
% 0.46/0.67  (step @p229 :rule cnf_equiv_pos1 :args (@t159))
% 0.46/0.67  (step @p230 :rule reordering :premises (@p229) :args ((or @t146 @t158 (not @t159))))
% 0.46/0.67  (step @p231 :rule chain_m_resolution :premises (@p230 @p228 @p222) :args (@t158 @t76 (@list @t145 @t159)))
% 0.46/0.67  (step @p232 :rule refl :args (@t157))
% 0.46/0.67  (step @p233 :rule bool-double-not-elim :args (@t97))
% 0.46/0.67  (step @p234 :rule nary_cong :premises (@p233 @p232) :args ((or (not @t158) @t157)))
% 0.46/0.67  (step @p235 :rule bool-double-not-elim :args (@t157))
% 0.46/0.67  (step @p236 :rule refl :args (@t158))
% 0.46/0.67  (step @p237 :rule cong :premises (@p236 @p235) :args ((=> @t158 @t160)))
% 0.46/0.67  (assume-push @p252 @t158)
% 0.46/0.67  (step @p239 :rule skolemize :premises (@p231))
% 0.46/0.67  (step-pop @p253 :rule scope :premises (@p239))
% 0.46/0.67  (step @p240 :rule process_scope :premises (@p253) :args (@t160))
% 0.46/0.67  (step @p242 :rule eq_resolve :premises (@p240 @p237))
% 0.46/0.67  (step @p243 :rule implies_elim :premises (@p242))
% 0.46/0.67  (step @p244 :rule eq_resolve :premises (@p243 @p234))
% 0.46/0.67  (step @p245 :rule chain_m_resolution :premises (@p244 @p231) :args (@t157 @t85 (@list @t97)))
% 0.46/0.67  (step @p246 :rule true_intro :premises (@p245))
% 0.46/0.67  (step @p247 :rule symm :premises (@p246))
% 0.46/0.67  (step @p248 :rule trans :premises (@p247 @p217 @p92))
% 0.46/0.67  (step @p249 false :rule eq_resolve :premises (@p248 @p33))
% 0.46/0.67  )
% 0.46/0.67  % SZS output end Proof
% 0.46/0.67  % cvc5 exiting
%------------------------------------------------------------------------------