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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SET768+4 : 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 : n009.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 08:48:36 AM UTC 2026

% Result   : Theorem 0.36s 0.59s
% Output   : Proof 0.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET768+4 : 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
% 0.16/0.34  % Computer : n009.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Tue Jun  2 16:11:14 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.29/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.36/0.59  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.36/0.59  % SZS status Theorem
% 0.36/0.59  % SZS output start Proof
% 0.36/0.59  (
% 0.36/0.59  (declare-sort $$unsorted 0)
% 0.36/0.59  (declare-const tptp.pre_order (-> $$unsorted $$unsorted Bool))
% 0.36/0.59  (declare-const tptp.equivalence (-> $$unsorted $$unsorted Bool))
% 0.36/0.59  (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.36/0.59  (declare-const tptp.subset (-> $$unsorted $$unsorted Bool))
% 0.36/0.59  (declare-const tptp.singleton (-> $$unsorted $$unsorted))
% 0.36/0.59  (declare-const tptp.sum (-> $$unsorted $$unsorted))
% 0.36/0.59  (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool))
% 0.36/0.59  (declare-const tptp.power_set (-> $$unsorted $$unsorted))
% 0.36/0.59  (declare-const tptp.equivalence_class (-> $$unsorted $$unsorted $$unsorted $$unsorted))
% 0.36/0.59  (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted))
% 0.36/0.59  (declare-const tptp.empty_set $$unsorted)
% 0.36/0.59  (declare-const tptp.product (-> $$unsorted $$unsorted))
% 0.36/0.59  (declare-const tptp.partition (-> $$unsorted $$unsorted Bool))
% 0.36/0.59  (declare-const tptp.member (-> $$unsorted $$unsorted Bool))
% 0.36/0.59  (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted))
% 0.36/0.59  (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool))
% 0.36/0.59  (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted))
% 0.36/0.59  (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted))
% 0.36/0.59  (define @t1 () (@var "B" $$unsorted))
% 0.36/0.59  (define @t2 () (@var "X" $$unsorted))
% 0.36/0.59  (define @t3 () (tptp.member @t2 @t1))
% 0.36/0.59  (define @t4 () (@var "A" $$unsorted))
% 0.36/0.59  (define @t5 () (tptp.member @t2 @t4))
% 0.36/0.59  (define @t6 () (@list @t2))
% 0.36/0.59  (define @t7 () (forall @t6 (=> @t5 @t3)))
% 0.36/0.59  (define @t8 () (tptp.subset @t4 @t1))
% 0.36/0.59  (define @t9 () (= @t8 @t7))
% 0.36/0.59  (define @t10 () (@list @t4 @t1))
% 0.36/0.59  (define @t11 () (forall @t10 @t9))
% 0.36/0.59  (define @t12 () (@list @t2 @t4))
% 0.36/0.59  (define @t13 () (and @t5 @t3))
% 0.36/0.59  (define @t14 () (@list @t2 @t4 @t1))
% 0.36/0.59  (define @t15 () (@var "E" $$unsorted))
% 0.36/0.59  (define @t16 () (tptp.member @t1 @t15))
% 0.36/0.59  (define @t17 () (= @t2 @t4))
% 0.36/0.59  (define @t18 () (@var "Y" $$unsorted))
% 0.36/0.59  (define @t19 () (tptp.member @t2 @t18))
% 0.36/0.59  (define @t20 () (tptp.member @t18 @t4))
% 0.36/0.59  (define @t21 () (@list @t18))
% 0.36/0.59  (define @t22 () (exists @t21 (and @t20 @t19)))
% 0.36/0.59  (define @t23 () (@var "Z" $$unsorted))
% 0.36/0.59  (define @t24 () (and @t5 @t20))
% 0.36/0.59  (define @t25 () (@list @t2 @t18))
% 0.36/0.59  (define @t26 () (tptp.member @t2 @t15))
% 0.36/0.59  (define @t27 () (@var "R" $$unsorted))
% 0.36/0.59  (define @t28 () (tptp.apply @t27 @t2 @t23))
% 0.36/0.59  (define @t29 () (tptp.apply @t27 @t18 @t23))
% 0.36/0.59  (define @t30 () (tptp.apply @t27 @t2 @t18))
% 0.36/0.59  (define @t31 () (and @t30 @t29))
% 0.36/0.59  (define @t32 () (=> @t31 @t28))
% 0.36/0.59  (define @t33 () (tptp.member @t23 @t4))
% 0.36/0.59  (define @t34 () (and @t5 @t20 @t33))
% 0.36/0.59  (define @t35 () (@list @t2 @t18 @t23))
% 0.36/0.59  (define @t36 () (forall @t35 (=> @t34 @t32)))
% 0.36/0.59  (define @t37 () (tptp.apply @t27 @t18 @t2))
% 0.36/0.59  (define @t38 () (=> @t30 @t37))
% 0.36/0.59  (define @t39 () (forall @t25 (=> @t24 @t38)))
% 0.36/0.59  (define @t40 () (tptp.apply @t27 @t2 @t2))
% 0.36/0.59  (define @t41 () (forall @t6 (=> @t5 @t40)))
% 0.36/0.59  (define @t42 () (and @t41 @t39 @t36))
% 0.36/0.59  (define @t43 () (tptp.equivalence @t27 @t4))
% 0.36/0.59  (define @t44 () (= @t43 @t42))
% 0.36/0.59  (define @t45 () (forall (@list @t4 @t27) @t44))
% 0.36/0.59  (define @t46 () (tptp.equivalence_class @t4 @t15 @t27))
% 0.36/0.59  (define @t47 () (= (tptp.equal_set @t46 (tptp.equivalence_class @t1 @t15 @t27)) (tptp.apply @t27 @t4 @t1)))
% 0.36/0.59  (define @t48 () (tptp.member @t4 @t15))
% 0.36/0.59  (define @t49 () (tptp.equivalence @t27 @t15))
% 0.36/0.59  (define @t50 () (and @t49 @t48 @t16))
% 0.36/0.59  (define @t51 () (@list @t15 @t27 @t4 @t1))
% 0.36/0.59  (define @t52 () (forall @t51 (=> @t50 @t47)))
% 0.36/0.59  (define @t53 () (not @t52))
% 0.36/0.59  (define @t54 () (not @t16))
% 0.36/0.59  (define @t55 () (not @t48))
% 0.36/0.59  (define @t56 () (not @t49))
% 0.36/0.59  (define @t57 () (or @t56 @t55 @t54 @t47))
% 0.36/0.59  (define @t58 () (forall @t51 @t57))
% 0.36/0.59  (define @t59 () (@quantifiers_skolemize @t58 3))
% 0.36/0.59  (define @t60 () (@quantifiers_skolemize @t58 0))
% 0.36/0.59  (define @t61 () (@quantifiers_skolemize @t58 1))
% 0.36/0.59  (define @t62 () (not @t29))
% 0.36/0.59  (define @t63 () (not @t30))
% 0.36/0.59  (define @t64 () (not @t33))
% 0.36/0.59  (define @t65 () (not @t20))
% 0.36/0.59  (define @t66 () (not @t5))
% 0.36/0.59  (define @t67 () (or @t63 @t62 @t28))
% 0.36/0.59  (define @t68 () (or @t66 @t65 @t64))
% 0.36/0.59  (define @t69 () (or @t56 @t55 @t54))
% 0.36/0.59  (define @t70 () (tptp.equivalence @t61 @t60))
% 0.36/0.59  (define @t71 () (@quantifiers_skolemize @t58 2))
% 0.36/0.59  (define @t72 () (tptp.apply @t61 @t71 @t59))
% 0.36/0.59  (define @t73 () (tptp.equivalence_class @t59 @t60 @t61))
% 0.36/0.59  (define @t74 () (tptp.equivalence_class @t71 @t60 @t61))
% 0.36/0.59  (define @t75 () (tptp.equal_set @t74 @t73))
% 0.36/0.59  (define @t76 () (= @t75 @t72))
% 0.36/0.59  (define @t77 () (tptp.member @t59 @t60))
% 0.36/0.59  (define @t78 () (not @t77))
% 0.36/0.59  (define @t79 () (tptp.member @t71 @t60))
% 0.36/0.59  (define @t80 () (not @t79))
% 0.36/0.59  (define @t81 () (not @t70))
% 0.36/0.59  (define @t82 () (or @t81 @t80 @t78 @t76))
% 0.36/0.59  (define @t83 () (@list true))
% 0.36/0.59  (define @t84 () (@list @t82))
% 0.36/0.59  (define @t85 () (not (tptp.apply @t61 @t2 @t18)))
% 0.36/0.59  (define @t86 () (not (tptp.member @t18 @t60)))
% 0.36/0.59  (define @t87 () (not (tptp.member @t2 @t60)))
% 0.36/0.59  (define @t88 () (forall @t35 (or @t87 @t86 (not (tptp.member @t23 @t60)) @t85 (not (tptp.apply @t61 @t18 @t23)) (tptp.apply @t61 @t2 @t23))))
% 0.36/0.59  (define @t89 () (forall @t25 (or @t87 @t86 @t85 (tptp.apply @t61 @t18 @t2))))
% 0.36/0.59  (define @t90 () (forall @t6 (or @t87 (tptp.apply @t61 @t2 @t2))))
% 0.36/0.59  (define @t91 () (and @t90 @t89 @t88))
% 0.36/0.59  (define @t92 () (= @t70 @t91))
% 0.36/0.59  (define @t93 () (@list false false))
% 0.36/0.59  (define @t94 () (not @t91))
% 0.36/0.59  (define @t95 () (@list false))
% 0.36/0.59  (define @t96 () (@list @t91))
% 0.36/0.59  (define @t97 () (@list @t59))
% 0.36/0.59  (define @t98 () (tptp.apply @t61 @t59 @t59))
% 0.36/0.59  (define @t99 () (or @t78 @t98))
% 0.36/0.59  (define @t100 () (and @t77 @t98))
% 0.36/0.59  (define @t101 () (tptp.member @t59 @t73))
% 0.36/0.59  (define @t102 () (= @t101 @t100))
% 0.36/0.59  (define @t103 () (tptp.member @t2 @t73))
% 0.36/0.59  (define @t104 () (tptp.member @t2 @t74))
% 0.36/0.59  (define @t105 () (forall @t6 (or (not @t104) @t103)))
% 0.36/0.59  (define @t106 () (@quantifiers_skolemize @t105 0))
% 0.36/0.59  (define @t107 () (tptp.member @t106 @t74))
% 0.36/0.59  (define @t108 () (tptp.member @t106 @t73))
% 0.36/0.59  (define @t109 () (not @t107))
% 0.36/0.59  (define @t110 () (or @t109 @t108))
% 0.36/0.59  (define @t111 () (tptp.apply @t61 @t71 @t106))
% 0.36/0.59  (define @t112 () (tptp.member @t106 @t60))
% 0.36/0.59  (define @t113 () (and @t112 @t111))
% 0.36/0.59  (define @t114 () (= @t107 @t113))
% 0.36/0.59  (define @t115 () (tptp.apply @t61 @t59 @t106))
% 0.36/0.59  (define @t116 () (and @t112 @t115))
% 0.36/0.59  (define @t117 () (= @t108 @t116))
% 0.36/0.59  (define @t118 () (not @t113))
% 0.36/0.59  (define @t119 () (not @t111))
% 0.36/0.59  (define @t120 () (tptp.apply @t61 @t59 @t71))
% 0.36/0.59  (define @t121 () (not @t120))
% 0.36/0.59  (define @t122 () (not @t112))
% 0.36/0.59  (define @t123 () (or @t78 @t80 @t122 @t121 @t119 @t115))
% 0.36/0.59  (define @t124 () (or @t78 @t80 @t121 @t72))
% 0.36/0.59  (define @t125 () (not @t110))
% 0.36/0.59  (define @t126 () (not @t105))
% 0.36/0.59  (define @t127 () (@list @t74 @t73))
% 0.36/0.59  (define @t128 () (tptp.subset @t74 @t73))
% 0.36/0.59  (define @t129 () (= @t128 @t105))
% 0.36/0.59  (define @t130 () (tptp.subset @t73 @t74))
% 0.36/0.59  (define @t131 () (and @t128 @t130))
% 0.36/0.59  (define @t132 () (= @t75 @t131))
% 0.36/0.59  (define @t133 () (not @t132))
% 0.36/0.59  (define @t134 () (not @t131))
% 0.36/0.59  (define @t135 () (forall @t6 (or (not @t103) @t104)))
% 0.36/0.59  (define @t136 () (= @t130 @t135))
% 0.36/0.59  (define @t137 () (not @t136))
% 0.36/0.59  (define @t138 () (not @t135))
% 0.36/0.59  (define @t139 () (@quantifiers_skolemize @t135 0))
% 0.36/0.59  (define @t140 () (tptp.member @t139 @t74))
% 0.36/0.59  (define @t141 () (tptp.member @t139 @t73))
% 0.36/0.59  (define @t142 () (not @t141))
% 0.36/0.59  (define @t143 () (or @t142 @t140))
% 0.36/0.59  (define @t144 () (not @t143))
% 0.36/0.59  (define @t145 () (tptp.apply @t61 @t59 @t139))
% 0.36/0.59  (define @t146 () (tptp.member @t139 @t60))
% 0.36/0.59  (define @t147 () (and @t146 @t145))
% 0.36/0.59  (define @t148 () (= @t141 @t147))
% 0.36/0.59  (define @t149 () (tptp.apply @t61 @t71 @t139))
% 0.36/0.59  (define @t150 () (and @t146 @t149))
% 0.36/0.59  (define @t151 () (= @t140 @t150))
% 0.36/0.59  (define @t152 () (not @t147))
% 0.36/0.59  (define @t153 () (not @t145))
% 0.36/0.59  (define @t154 () (not @t72))
% 0.36/0.59  (define @t155 () (not @t146))
% 0.36/0.59  (define @t156 () (or @t80 @t78 @t155 @t154 @t153 @t149))
% 0.36/0.59  (define @t157 () (or @t80 @t78 @t154 @t120))
% 0.36/0.59  (define @t158 () (and @t77 @t72))
% 0.36/0.59  (define @t159 () (not @t158))
% 0.36/0.59  (define @t160 () (tptp.member @t59 @t74))
% 0.36/0.59  (define @t161 () (= @t160 @t158))
% 0.36/0.59  (define @t162 () (not @t160))
% 0.36/0.59  (define @t163 () (@list true false))
% 0.36/0.59  (define @t164 () (not @t101))
% 0.36/0.59  (define @t165 () (or @t164 @t160))
% 0.36/0.59  (define @t166 () (not @t165))
% 0.36/0.59  (assume @p1 @t11)
% 0.36/0.59  (assume @p2 (forall @t10 (= (tptp.equal_set @t4 @t1) (and @t8 (tptp.subset @t1 @t4)))))
% 0.36/0.59  (assume @p3 (forall @t12 (= (tptp.member @t2 (tptp.power_set @t4)) (tptp.subset @t2 @t4))))
% 0.36/0.59  (assume @p4 (forall @t14 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) @t13)))
% 0.36/0.59  (assume @p5 (forall @t14 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3))))
% 0.36/0.59  (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set))))
% 0.36/0.59  (assume @p7 (forall (@list @t1 @t4 @t15) (= (tptp.member @t1 (tptp.difference @t15 @t4)) (and @t16 (not (tptp.member @t1 @t4))))))
% 0.36/0.59  (assume @p8 (forall @t12 (= (tptp.member @t2 (tptp.singleton @t4)) @t17)))
% 0.36/0.59  (assume @p9 (forall @t14 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t17 (= @t2 @t1)))))
% 0.36/0.59  (assume @p10 (forall @t12 (= (tptp.member @t2 (tptp.sum @t4)) @t22)))
% 0.36/0.59  (assume @p11 (forall @t12 (= (tptp.member @t2 (tptp.product @t4)) (forall @t21 (=> @t20 @t19)))))
% 0.36/0.59  (assume @p12 (forall @t10 (= (tptp.disjoint @t4 @t1) (not (exists @t6 @t13)))))
% 0.36/0.59  (assume @p13 (forall (@list @t4 @t15) (= (tptp.partition @t4 @t15) (and (forall @t6 (=> @t5 (tptp.subset @t2 @t15))) (forall @t6 (=> @t26 @t22)) (forall @t25 (=> @t24 (=> (exists (@list @t23) (and (tptp.member @t23 @t2) (tptp.member @t23 @t18))) (= @t2 @t18))))))))
% 0.36/0.59  (assume @p14 @t45)
% 0.36/0.59  (assume @p15 (forall (@list @t27 @t15 @t4 @t2) (= (tptp.member @t2 @t46) (and @t26 (tptp.apply @t27 @t4 @t2)))))
% 0.36/0.59  (assume @p16 (forall (@list @t27 @t15) (= (tptp.pre_order @t27 @t15) (and (forall @t6 (=> @t26 @t40)) (forall @t35 (=> (and @t26 (tptp.member @t18 @t15) (tptp.member @t23 @t15)) @t32))))))
% 0.36/0.59  (assume @p17 @t53)
% 0.36/0.59  (assume @p18 true)
% 0.36/0.59  (step @p19 :rule instantiate :premises (@p15) :args ((@list @t61 @t60 @t59 @t59)))
% 0.36/0.59  (step @p20 :rule aci_norm :args ((= (or @t68 @t67) (or @t66 @t65 @t64 @t63 @t62 @t28))))
% 0.36/0.59  (step @p21 :rule aci_norm :args ((= (or (or @t63 @t62) @t28) @t67)))
% 0.36/0.59  (step @p22 :rule refl :args (@t28))
% 0.36/0.59  (step @p23 :rule bool-and-de-morgan :args (@t30 @t29 true))
% 0.36/0.59  (step @p24 :rule nary_cong :premises (@p23 @p22) :args ((or (not @t31) @t28)))
% 0.36/0.59  (step @p25 :rule trans :premises (@p24 @p21))
% 0.36/0.59  (step @p26 :rule bool-impl-elim :args (@t31 @t28))
% 0.36/0.59  (step @p27 :rule trans :premises (@p26 @p25))
% 0.36/0.59  (step @p28 :rule aci_norm :args ((= (or @t66 (or @t65 @t64)) @t68)))
% 0.36/0.59  (step @p29 :rule bool-and-de-morgan :args (@t20 @t33 true))
% 0.36/0.59  (step @p30 :rule refl :args (@t66))
% 0.36/0.59  (step @p31 :rule nary_cong :premises (@p30 @p29) :args ((or @t66 (not (and @t20 @t33)))))
% 0.36/0.59  (step @p32 :rule bool-and-de-morgan :args (@t5 @t20 (and @t33)))
% 0.36/0.59  (step @p33 :rule trans :premises (@p32 @p31))
% 0.36/0.59  (step @p34 :rule trans :premises (@p33 @p28))
% 0.36/0.59  (step @p35 :rule nary_cong :premises (@p34 @p27) :args ((or (not @t34) @t32)))
% 0.36/0.59  (step @p36 :rule trans :premises (@p35 @p20))
% 0.36/0.59  (step @p37 :rule bool-impl-elim :args (@t34 @t32))
% 0.36/0.59  (step @p38 :rule trans :premises (@p37 @p36))
% 0.36/0.59  (step @p39 :rule cong :premises (@p38) :args (@t36))
% 0.36/0.59  (step @p40 :rule aci_norm :args ((= (or (or @t66 @t65) (or @t63 @t37)) (or @t66 @t65 @t63 @t37))))
% 0.36/0.59  (step @p41 :rule bool-impl-elim :args (@t30 @t37))
% 0.36/0.59  (step @p42 :rule bool-and-de-morgan :args (@t5 @t20 true))
% 0.36/0.59  (step @p43 :rule nary_cong :premises (@p42 @p41) :args ((or (not @t24) @t38)))
% 0.36/0.59  (step @p44 :rule trans :premises (@p43 @p40))
% 0.36/0.59  (step @p45 :rule bool-impl-elim :args (@t24 @t38))
% 0.36/0.59  (step @p46 :rule trans :premises (@p45 @p44))
% 0.36/0.59  (step @p47 :rule cong :premises (@p46) :args (@t39))
% 0.36/0.59  (step @p48 :rule bool-impl-elim :args (@t5 @t40))
% 0.36/0.59  (step @p49 :rule cong :premises (@p48) :args (@t41))
% 0.36/0.59  (step @p50 :rule nary_cong :premises (@p49 @p47 @p39) :args (@t42))
% 0.36/0.59  (step @p51 :rule refl :args (@t43))
% 0.36/0.59  (step @p52 :rule cong :premises (@p51 @p50) :args (@t44))
% 0.36/0.59  (step @p53 :rule cong :premises (@p52) :args (@t45))
% 0.36/0.59  (step @p54 :rule eq_resolve :premises (@p14 @p53))
% 0.36/0.59  (step @p55 :rule instantiate :premises (@p54) :args ((@list @t60 @t61)))
% 0.36/0.59  (step @p56 :rule aci_norm :args ((= (or @t69 @t47) @t57)))
% 0.36/0.59  (step @p57 :rule refl :args (@t47))
% 0.36/0.59  (step @p58 :rule aci_norm :args ((= (or @t56 (or @t55 @t54)) @t69)))
% 0.36/0.59  (step @p59 :rule bool-and-de-morgan :args (@t48 @t16 true))
% 0.36/0.59  (step @p60 :rule refl :args (@t56))
% 0.36/0.59  (step @p61 :rule nary_cong :premises (@p60 @p59) :args ((or @t56 (not (and @t48 @t16)))))
% 0.36/0.59  (step @p62 :rule bool-and-de-morgan :args (@t49 @t48 (and @t16)))
% 0.36/0.59  (step @p63 :rule trans :premises (@p62 @p61))
% 0.36/0.59  (step @p64 :rule trans :premises (@p63 @p58))
% 0.36/0.59  (step @p65 :rule nary_cong :premises (@p64 @p57) :args ((or (not @t50) @t47)))
% 0.36/0.59  (step @p66 :rule trans :premises (@p65 @p56))
% 0.36/0.59  (step @p67 :rule bool-impl-elim :args (@t50 @t47))
% 0.36/0.59  (step @p68 :rule trans :premises (@p67 @p66))
% 0.36/0.59  (step @p69 :rule cong :premises (@p68) :args (@t52))
% 0.36/0.59  (step @p70 :rule cong :premises (@p69) :args (@t53))
% 0.36/0.59  (step @p71 :rule eq_resolve :premises (@p17 @p70))
% 0.36/0.59  (step @p72 :rule skolemize :premises (@p71))
% 0.36/0.59  (step @p73 :rule bool-double-not-elim :args (@t70))
% 0.36/0.59  (step @p74 :rule refl :args (@t82))
% 0.36/0.59  (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((or @t82 (not @t81))))
% 0.36/0.59  (step @p76 :rule cnf_or_neg :args (@t82 0))
% 0.36/0.59  (step @p77 :rule eq_resolve :premises (@p76 @p75))
% 0.36/0.59  (step @p78 :rule reordering :premises (@p77) :args ((or @t70 @t82)))
% 0.36/0.59  (step @p79 :rule chain_m_resolution :premises (@p78 @p72) :args (@t70 @t83 @t84))
% 0.36/0.59  (step @p80 :rule cnf_equiv_pos1 :args (@t92))
% 0.36/0.59  (step @p81 :rule reordering :premises (@p80) :args ((or @t81 @t91 (not @t92))))
% 0.36/0.59  (step @p82 :rule chain_m_resolution :premises (@p81 @p79 @p55) :args (@t91 @t93 (@list @t70 @t92)))
% 0.36/0.59  (step @p83 :rule cnf_and_pos :args (@t91 0))
% 0.36/0.59  (step @p84 :rule reordering :premises (@p83) :args ((or @t90 @t94)))
% 0.36/0.59  (step @p85 :rule chain_m_resolution :premises (@p84 @p82) :args (@t90 @t95 @t96))
% 0.36/0.59  (step @p86 :rule instantiate :premises (@p85) :args (@t97))
% 0.36/0.59  (step @p87 :rule bool-double-not-elim :args (@t77))
% 0.36/0.59  (step @p88 :rule nary_cong :premises (@p74 @p87) :args ((or @t82 (not @t78))))
% 0.36/0.59  (step @p89 :rule cnf_or_neg :args (@t82 2))
% 0.36/0.59  (step @p90 :rule eq_resolve :premises (@p89 @p88))
% 0.36/0.59  (step @p91 :rule reordering :premises (@p90) :args ((or @t77 @t82)))
% 0.36/0.59  (step @p92 :rule chain_m_resolution :premises (@p91 @p72) :args (@t77 @t83 @t84))
% 0.36/0.59  (step @p93 :rule cnf_or_pos :args (@t99))
% 0.36/0.59  (step @p94 :rule reordering :premises (@p93) :args ((or @t78 @t98 (not @t99))))
% 0.36/0.59  (step @p95 :rule chain_m_resolution :premises (@p94 @p92 @p86) :args (@t98 @t93 (@list @t77 @t99)))
% 0.36/0.59  (step @p96 :rule cnf_and_neg :args (@t100))
% 0.36/0.59  (step @p97 :rule reordering :premises (@p96) :args ((or @t78 (not @t98) @t100)))
% 0.36/0.59  (step @p98 :rule chain_m_resolution :premises (@p97 @p92 @p95) :args (@t100 @t93 (@list @t77 @t98)))
% 0.36/0.59  (step @p99 :rule cnf_equiv_pos2 :args (@t102))
% 0.36/0.59  (step @p100 :rule reordering :premises (@p99) :args ((or @t101 (not @t100) (not @t102))))
% 0.36/0.59  (step @p101 :rule chain_m_resolution :premises (@p100 @p98 @p19) :args (@t101 @t93 (@list @t100 @t102)))
% 0.36/0.59  (step @p102 :rule instantiate :premises (@p15) :args ((@list @t61 @t60 @t71 @t59)))
% 0.36/0.59  (step @p103 :rule cnf_and_pos :args (@t91 1))
% 0.36/0.59  (step @p104 :rule reordering :premises (@p103) :args ((or @t89 @t94)))
% 0.36/0.59  (step @p105 :rule chain_m_resolution :premises (@p104 @p82) :args (@t89 @t95 @t96))
% 0.36/0.59  (step @p106 :rule instantiate :premises (@p105) :args ((@list @t71 @t59)))
% 0.36/0.59  (step @p107 :rule bool-double-not-elim :args (@t107))
% 0.36/0.59  (step @p108 :rule refl :args (@t110))
% 0.36/0.59  (step @p109 :rule nary_cong :premises (@p108 @p107) :args ((or @t110 (not @t109))))
% 0.36/0.59  (step @p110 :rule cnf_or_neg :args (@t110 0))
% 0.36/0.59  (step @p111 :rule eq_resolve :premises (@p110 @p109))
% 0.36/0.59  (step @p112 :rule reordering :premises (@p111) :args ((or @t107 @t110)))
% 0.36/0.59  (step @p113 :rule cnf_or_neg :args (@t110 1))
% 0.36/0.59  (step @p114 :rule instantiate :premises (@p15) :args ((@list @t61 @t60 @t71 @t106)))
% 0.36/0.59  (step @p115 :rule cnf_equiv_pos1 :args (@t114))
% 0.36/0.59  (step @p116 :rule reordering :premises (@p115) :args ((or @t109 @t113 (not @t114))))
% 0.36/0.59  (step @p117 :rule instantiate :premises (@p15) :args ((@list @t61 @t60 @t59 @t106)))
% 0.36/0.59  (step @p118 :rule cnf_equiv_pos2 :args (@t117))
% 0.36/0.59  (step @p119 :rule reordering :premises (@p118) :args ((or @t108 (not @t116) (not @t117))))
% 0.36/0.59  (step @p120 :rule cnf_and_pos :args (@t113 0))
% 0.36/0.59  (step @p121 :rule reordering :premises (@p120) :args ((or @t112 @t118)))
% 0.36/0.59  (step @p122 :rule cnf_and_pos :args (@t113 1))
% 0.36/0.59  (step @p123 :rule reordering :premises (@p122) :args ((or @t111 @t118)))
% 0.36/0.59  (step @p124 :rule cnf_and_neg :args (@t116))
% 0.36/0.59  (step @p125 :rule bool-double-not-elim :args (@t79))
% 0.36/0.59  (step @p126 :rule nary_cong :premises (@p74 @p125) :args ((or @t82 (not @t80))))
% 0.36/0.59  (step @p127 :rule cnf_or_neg :args (@t82 1))
% 0.36/0.59  (step @p128 :rule eq_resolve :premises (@p127 @p126))
% 0.36/0.59  (step @p129 :rule reordering :premises (@p128) :args ((or @t79 @t82)))
% 0.36/0.59  (step @p130 :rule chain_m_resolution :premises (@p129 @p72) :args (@t79 @t83 @t84))
% 0.36/0.59  (step @p131 :rule cnf_and_pos :args (@t91 2))
% 0.36/0.59  (step @p132 :rule reordering :premises (@p131) :args ((or @t88 @t94)))
% 0.36/0.59  (step @p133 :rule chain_m_resolution :premises (@p132 @p82) :args (@t88 @t95 @t96))
% 0.36/0.59  (step @p134 :rule instantiate :premises (@p133) :args ((@list @t59 @t71 @t106)))
% 0.36/0.59  (step @p135 :rule cnf_or_pos :args (@t123))
% 0.36/0.59  (step @p136 :rule reordering :premises (@p135) :args ((or @t80 @t78 @t121 @t115 @t122 @t119 (not @t123))))
% 0.36/0.59  (step @p137 :rule chain_m_resolution :premises (@p136 @p134 @p92 @p130 @p124 @p123 @p121 @p119 @p117 @p116 @p114 @p113 @p112) :args ((or @t121 @t110) (@list false false false true false false true false false false true false) (@list @t123 @t77 @t79 @t115 @t111 @t112 @t116 @t117 @t113 @t114 @t108 @t107)))
% 0.36/0.59  (step @p138 :rule instantiate :premises (@p105) :args ((@list @t59 @t71)))
% 0.36/0.59  (step @p139 :rule cnf_or_pos :args (@t124))
% 0.36/0.59  (step @p140 :rule reordering :premises (@p139) :args ((or @t80 @t78 @t72 @t121 (not @t124))))
% 0.36/0.59  (step @p141 :rule refl :args (@t125))
% 0.36/0.59  (step @p142 :rule bool-double-not-elim :args (@t105))
% 0.36/0.59  (step @p143 :rule nary_cong :premises (@p142 @p141) :args ((or (not @t126) @t125)))
% 0.36/0.59  (assume-push @p230 @t126)
% 0.36/0.59  (step @p145 :rule skolemize :premises (@p230))
% 0.36/0.59  (step-pop @p231 :rule scope :premises (@p145))
% 0.36/0.59  (step @p146 :rule process_scope :premises (@p231) :args (@t125))
% 0.36/0.59  (step @p148 :rule implies_elim :premises (@p146))
% 0.36/0.59  (step @p149 :rule eq_resolve :premises (@p148 @p143))
% 0.36/0.59  (step @p150 :rule cnf_or_neg :args (@t82 3))
% 0.36/0.59  (step @p151 :rule chain_m_resolution :premises (@p150 @p72) :args ((not @t76) @t83 @t84))
% 0.36/0.59  (step @p152 :rule cnf_equiv_neg2 :args (@t76))
% 0.36/0.59  (step @p153 :rule bool-impl-elim :args (@t5 @t3))
% 0.36/0.59  (step @p154 :rule cong :premises (@p153) :args (@t7))
% 0.36/0.59  (step @p155 :rule refl :args (@t8))
% 0.36/0.59  (step @p156 :rule cong :premises (@p155 @p154) :args (@t9))
% 0.36/0.59  (step @p157 :rule cong :premises (@p156) :args (@t11))
% 0.36/0.59  (step @p158 :rule eq_resolve :premises (@p1 @p157))
% 0.36/0.59  (step @p159 :rule instantiate :premises (@p158) :args (@t127))
% 0.36/0.59  (step @p160 :rule cnf_equiv_pos2 :args (@t129))
% 0.36/0.59  (step @p161 :rule reordering :premises (@p160) :args ((or @t128 @t126 (not @t129))))
% 0.36/0.59  (step @p162 :rule instantiate :premises (@p2) :args (@t127))
% 0.36/0.59  (step @p163 :rule cnf_equiv_pos2 :args (@t132))
% 0.36/0.59  (step @p164 :rule reordering :premises (@p163) :args ((or @t75 @t134 @t133)))
% 0.36/0.59  (step @p165 :rule cnf_and_neg :args (@t131))
% 0.36/0.59  (step @p166 :rule instantiate :premises (@p158) :args ((@list @t73 @t74)))
% 0.36/0.59  (step @p167 :rule cnf_equiv_pos2 :args (@t136))
% 0.36/0.59  (step @p168 :rule reordering :premises (@p167) :args ((or @t130 @t138 @t137)))
% 0.36/0.59  (step @p169 :rule refl :args (@t144))
% 0.36/0.59  (step @p170 :rule bool-double-not-elim :args (@t135))
% 0.36/0.59  (step @p171 :rule nary_cong :premises (@p170 @p169) :args ((or (not @t138) @t144)))
% 0.36/0.59  (assume-push @p232 @t138)
% 0.36/0.59  (step @p173 :rule skolemize :premises (@p232))
% 0.36/0.59  (step-pop @p233 :rule scope :premises (@p173))
% 0.36/0.59  (step @p174 :rule process_scope :premises (@p233) :args (@t144))
% 0.36/0.59  (step @p176 :rule implies_elim :premises (@p174))
% 0.36/0.59  (step @p177 :rule eq_resolve :premises (@p176 @p171))
% 0.36/0.59  (step @p178 :rule bool-double-not-elim :args (@t141))
% 0.36/0.59  (step @p179 :rule refl :args (@t143))
% 0.36/0.59  (step @p180 :rule nary_cong :premises (@p179 @p178) :args ((or @t143 (not @t142))))
% 0.36/0.59  (step @p181 :rule cnf_or_neg :args (@t143 0))
% 0.36/0.59  (step @p182 :rule eq_resolve :premises (@p181 @p180))
% 0.36/0.59  (step @p183 :rule reordering :premises (@p182) :args ((or @t141 @t143)))
% 0.36/0.59  (step @p184 :rule cnf_or_neg :args (@t143 1))
% 0.36/0.59  (step @p185 :rule instantiate :premises (@p15) :args ((@list @t61 @t60 @t59 @t139)))
% 0.36/0.59  (step @p186 :rule cnf_equiv_pos1 :args (@t148))
% 0.36/0.59  (step @p187 :rule reordering :premises (@p186) :args ((or @t142 @t147 (not @t148))))
% 0.36/0.59  (step @p188 :rule instantiate :premises (@p15) :args ((@list @t61 @t60 @t71 @t139)))
% 0.36/0.59  (step @p189 :rule cnf_equiv_pos2 :args (@t151))
% 0.36/0.59  (step @p190 :rule reordering :premises (@p189) :args ((or @t140 (not @t150) (not @t151))))
% 0.36/0.59  (step @p191 :rule cnf_and_pos :args (@t147 0))
% 0.36/0.59  (step @p192 :rule reordering :premises (@p191) :args ((or @t146 @t152)))
% 0.36/0.59  (step @p193 :rule cnf_and_pos :args (@t147 1))
% 0.36/0.59  (step @p194 :rule reordering :premises (@p193) :args ((or @t145 @t152)))
% 0.36/0.59  (step @p195 :rule cnf_and_neg :args (@t150))
% 0.36/0.59  (step @p196 :rule instantiate :premises (@p133) :args ((@list @t71 @t59 @t139)))
% 0.36/0.59  (step @p197 :rule cnf_or_pos :args (@t156))
% 0.36/0.59  (step @p198 :rule reordering :premises (@p197) :args ((or @t80 @t78 @t154 @t149 @t155 @t153 (not @t156))))
% 0.36/0.59  (step @p199 :rule chain_m_resolution :premises (@p198 @p196 @p92 @p130 @p195 @p194 @p192 @p190 @p188 @p187 @p185 @p184 @p183 @p177 @p168 @p166 @p165 @p164 @p162 @p161 @p159 @p152 @p151 @p149 @p140 @p138 @p92 @p130 @p137) :args (@t121 (@list false false false true false false true false false false true false true true false true true false false false true true false false false false false false) (@list @t156 @t77 @t79 @t149 @t145 @t146 @t150 @t151 @t147 @t148 @t140 @t141 @t143 @t135 @t136 @t130 @t131 @t132 @t128 @t129 @t75 @t76 @t105 @t72 @t124 @t77 @t79 @t110)))
% 0.36/0.59  (step @p200 :rule cnf_or_pos :args (@t157))
% 0.36/0.59  (step @p201 :rule reordering :premises (@p200) :args ((or @t80 @t78 @t154 @t120 (not @t157))))
% 0.36/0.59  (step @p202 :rule chain_m_resolution :premises (@p201 @p130 @p92 @p199 @p106) :args (@t154 (@list false false true false) (@list @t79 @t77 @t120 @t157)))
% 0.36/0.59  (step @p203 :rule cnf_and_pos :args (@t158 1))
% 0.36/0.59  (step @p204 :rule reordering :premises (@p203) :args ((or @t72 @t159)))
% 0.36/0.59  (step @p205 :rule chain_m_resolution :premises (@p204 @p202) :args (@t159 @t83 (@list @t72)))
% 0.36/0.59  (step @p206 :rule cnf_equiv_pos1 :args (@t161))
% 0.36/0.59  (step @p207 :rule reordering :premises (@p206) :args ((or @t158 @t162 (not @t161))))
% 0.36/0.59  (step @p208 :rule chain_m_resolution :premises (@p207 @p205 @p102) :args (@t162 @t163 (@list @t158 @t161)))
% 0.36/0.59  (step @p209 :rule cnf_or_pos :args (@t165))
% 0.36/0.59  (step @p210 :rule reordering :premises (@p209) :args ((or @t160 @t164 @t166)))
% 0.36/0.59  (step @p211 :rule chain_m_resolution :premises (@p210 @p208 @p101) :args (@t166 @t163 (@list @t160 @t101)))
% 0.36/0.59  (step @p212 :rule cnf_equiv_neg1 :args (@t76))
% 0.36/0.59  (step @p213 :rule reordering :premises (@p212) :args ((or @t75 @t72 @t76)))
% 0.36/0.59  (step @p214 :rule chain_m_resolution :premises (@p213 @p202 @p151) :args (@t75 (@list true true) (@list @t72 @t76)))
% 0.36/0.59  (step @p215 :rule cnf_equiv_pos1 :args (@t132))
% 0.36/0.59  (step @p216 :rule reordering :premises (@p215) :args ((or (not @t75) @t131 @t133)))
% 0.36/0.59  (step @p217 :rule chain_m_resolution :premises (@p216 @p214 @p162) :args (@t131 @t93 (@list @t75 @t132)))
% 0.36/0.59  (step @p218 :rule cnf_and_pos :args (@t131 1))
% 0.36/0.59  (step @p219 :rule reordering :premises (@p218) :args ((or @t130 @t134)))
% 0.36/0.59  (step @p220 :rule chain_m_resolution :premises (@p219 @p217) :args (@t130 @t95 (@list @t131)))
% 0.36/0.59  (step @p221 :rule cnf_equiv_pos1 :args (@t136))
% 0.36/0.59  (step @p222 :rule reordering :premises (@p221) :args ((or (not @t130) @t135 @t137)))
% 0.36/0.59  (step @p223 :rule chain_m_resolution :premises (@p222 @p220 @p166) :args (@t135 @t93 (@list @t130 @t136)))
% 0.36/0.59  (assume-push @p234 @t135)
% 0.36/0.59  (step @p225 :rule instantiate :premises (@p234) :args (@t97))
% 0.36/0.59  (step-pop @p235 :rule scope :premises (@p225))
% 0.36/0.59  (step @p226 :rule process_scope :premises (@p235) :args (@t165))
% 0.36/0.59  (step @p228 :rule implies_elim :premises (@p226))
% 0.36/0.59  (step @p229 false :rule chain_m_resolution :premises (@p228 @p223 @p211) :args (false (@list false true) (@list @t135 @t165)))
% 0.36/0.59  )
% 0.36/0.59  % SZS output end Proof
% 0.36/0.59  % cvc5 exiting
%------------------------------------------------------------------------------