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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SEU258+1 : TPTP v9.2.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n014.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 08:51:09 AM UTC 2026

% Result   : Theorem 0.52s 0.70s
% Output   : Proof 0.52s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU258+1 : TPTP v9.2.1. Released v3.3.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.34  % Computer : n014.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit : 300
% 0.15/0.34  % WCLimit  : 300
% 0.15/0.34  % DateTime : Tue Jun  2 16:48:43 EDT 2026
% 0.15/0.34  % CPUTime  : 
% 0.30/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.52/0.70  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.52/0.70  % SZS status Theorem
% 0.52/0.70  % SZS output start Proof
% 0.52/0.70  (
% 0.52/0.70  (declare-sort $$unsorted 0)
% 0.52/0.70  (declare-const tptp.powerset (-> $$unsorted $$unsorted))
% 0.52/0.70  (declare-const tptp.empty_set $$unsorted)
% 0.52/0.70  (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted))
% 0.52/0.70  (declare-const tptp.relation_field (-> $$unsorted $$unsorted))
% 0.52/0.70  (declare-const tptp.relation_dom (-> $$unsorted $$unsorted))
% 0.52/0.70  (declare-const tptp.relation_rng (-> $$unsorted $$unsorted))
% 0.52/0.70  (declare-const tptp.element (-> $$unsorted $$unsorted Bool))
% 0.52/0.70  (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted))
% 0.52/0.70  (declare-const tptp.singleton (-> $$unsorted $$unsorted))
% 0.52/0.70  (declare-const tptp.well_ordering (-> $$unsorted Bool))
% 0.52/0.70  (declare-const tptp.reflexive (-> $$unsorted Bool))
% 0.52/0.70  (declare-const tptp.in (-> $$unsorted $$unsorted Bool))
% 0.52/0.70  (declare-const tptp.one_to_one (-> $$unsorted Bool))
% 0.52/0.70  (declare-const tptp.function (-> $$unsorted Bool))
% 0.52/0.70  (declare-const tptp.empty (-> $$unsorted Bool))
% 0.52/0.70  (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted))
% 0.52/0.70  (declare-const tptp.relation (-> $$unsorted Bool))
% 0.52/0.70  (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted))
% 0.52/0.70  (declare-const tptp.subset (-> $$unsorted $$unsorted Bool))
% 0.52/0.70  (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted))
% 0.52/0.70  (declare-const tptp.well_founded_relation (-> $$unsorted Bool))
% 0.52/0.70  (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted))
% 0.52/0.70  (declare-const tptp.connected (-> $$unsorted Bool))
% 0.52/0.70  (declare-const tptp.antisymmetric (-> $$unsorted Bool))
% 0.52/0.70  (declare-const tptp.transitive (-> $$unsorted Bool))
% 0.52/0.70  (define @t1 () (@var "A" $$unsorted))
% 0.52/0.70  (define @t2 () (@var "B" $$unsorted))
% 0.52/0.70  (define @t3 () (tptp.in @t1 @t2))
% 0.52/0.70  (define @t4 () (@list @t1 @t2))
% 0.52/0.70  (define @t5 () (tptp.function @t1))
% 0.52/0.70  (define @t6 () (tptp.empty @t1))
% 0.52/0.70  (define @t7 () (@list @t1))
% 0.52/0.70  (define @t8 () (tptp.relation @t1))
% 0.52/0.70  (define @t9 () (and @t8 @t5 (tptp.one_to_one @t1)))
% 0.52/0.70  (define @t10 () (and @t8 @t6 @t5))
% 0.52/0.70  (define @t11 () (tptp.unordered_pair @t1 @t2))
% 0.52/0.70  (define @t12 () (tptp.set_union2 @t2 @t1))
% 0.52/0.70  (define @t13 () (tptp.set_union2 @t1 @t2))
% 0.52/0.70  (define @t14 () (tptp.subset @t1 @t2))
% 0.52/0.70  (define @t15 () (= @t1 @t2))
% 0.52/0.70  (define @t16 () (forall @t4 (= @t15 (and @t14 (tptp.subset @t2 @t1)))))
% 0.52/0.70  (define @t17 () (@var "C" $$unsorted))
% 0.52/0.70  (define @t18 () (tptp.in @t17 @t2))
% 0.52/0.70  (define @t19 () (tptp.in @t17 @t1))
% 0.52/0.70  (define @t20 () (@list @t17))
% 0.52/0.70  (define @t21 () (forall @t20 (=> @t19 @t18)))
% 0.52/0.70  (define @t22 () (= @t14 @t21))
% 0.52/0.70  (define @t23 () (forall @t4 @t22))
% 0.52/0.70  (define @t24 () (tptp.reflexive @t1))
% 0.52/0.70  (define @t25 () (= (tptp.well_ordering @t1) (and @t24 (tptp.transitive @t1) (tptp.antisymmetric @t1) (tptp.connected @t1) (tptp.well_founded_relation @t1))))
% 0.52/0.70  (define @t26 () (forall @t7 (=> @t8 @t25)))
% 0.52/0.70  (define @t27 () (tptp.ordered_pair @t1 @t2))
% 0.52/0.70  (define @t28 () (tptp.relation_field @t1))
% 0.52/0.70  (define @t29 () (tptp.cartesian_product2 @t2 @t2))
% 0.52/0.70  (define @t30 () (tptp.relation_restriction @t1 @t2))
% 0.52/0.70  (define @t31 () (@list @t2))
% 0.52/0.70  (define @t32 () (tptp.relation @t30))
% 0.52/0.70  (define @t33 () (forall @t4 (=> @t8 @t32)))
% 0.52/0.70  (define @t34 () (not @t6))
% 0.52/0.70  (define @t35 () (tptp.ordered_pair @t2 @t2))
% 0.52/0.70  (define @t36 () (tptp.in @t35 @t1))
% 0.52/0.70  (define @t37 () (tptp.in @t2 @t28))
% 0.52/0.70  (define @t38 () (forall @t31 (=> @t37 @t36)))
% 0.52/0.70  (define @t39 () (= @t24 @t38))
% 0.52/0.70  (define @t40 () (=> @t8 @t39))
% 0.52/0.70  (define @t41 () (forall @t7 @t40))
% 0.52/0.70  (define @t42 () (@var "D" $$unsorted))
% 0.52/0.70  (define @t43 () (tptp.in @t1 @t17))
% 0.52/0.70  (define @t44 () (forall (@list @t1 @t2 @t17 @t42) (= (tptp.in @t27 (tptp.cartesian_product2 @t17 @t42)) (and @t43 (tptp.in @t2 @t42)))))
% 0.52/0.70  (define @t45 () (= (tptp.in @t1 (tptp.relation_restriction @t17 @t2)) (and @t43 (tptp.in @t1 @t29))))
% 0.52/0.70  (define @t46 () (tptp.relation @t17))
% 0.52/0.70  (define @t47 () (@list @t1 @t2 @t17))
% 0.52/0.70  (define @t48 () (forall @t47 (=> @t46 @t45)))
% 0.52/0.70  (define @t49 () (tptp.element @t1 @t2))
% 0.52/0.70  (define @t50 () (tptp.relation_field (tptp.relation_restriction @t2 @t1)))
% 0.52/0.70  (define @t51 () (tptp.relation_field @t2))
% 0.52/0.70  (define @t52 () (and (tptp.subset @t50 @t51) (tptp.subset @t50 @t1)))
% 0.52/0.70  (define @t53 () (tptp.relation @t2))
% 0.52/0.70  (define @t54 () (forall @t4 (=> @t53 @t52)))
% 0.52/0.70  (define @t55 () (tptp.empty @t2))
% 0.52/0.70  (define @t56 () (tptp.relation_field @t17))
% 0.52/0.70  (define @t57 () (and (tptp.in @t1 @t56) (tptp.in @t2 @t56)))
% 0.52/0.70  (define @t58 () (tptp.in @t27 @t17))
% 0.52/0.70  (define @t59 () (=> @t58 @t57))
% 0.52/0.70  (define @t60 () (forall @t47 (=> @t46 @t59)))
% 0.52/0.70  (define @t61 () (tptp.subset @t1 @t51))
% 0.52/0.70  (define @t62 () (tptp.well_ordering @t2))
% 0.52/0.70  (define @t63 () (and @t62 @t61))
% 0.52/0.70  (define @t64 () (=> @t63 (= @t50 @t1)))
% 0.52/0.70  (define @t65 () (=> @t53 @t64))
% 0.52/0.70  (define @t66 () (forall @t4 @t65))
% 0.52/0.70  (define @t67 () (not @t66))
% 0.52/0.70  (define @t68 () (tptp.element @t2 (tptp.powerset @t17)))
% 0.52/0.70  (define @t69 () (not @t58))
% 0.52/0.70  (define @t70 () (not @t46))
% 0.52/0.70  (define @t71 () (or @t70 @t69 @t57))
% 0.52/0.70  (define @t72 () (= @t1 @t50))
% 0.52/0.70  (define @t73 () (not @t61))
% 0.52/0.70  (define @t74 () (not @t62))
% 0.52/0.70  (define @t75 () (not @t53))
% 0.52/0.70  (define @t76 () (or @t75 @t74 @t73 @t72))
% 0.52/0.70  (define @t77 () (forall @t4 @t76))
% 0.52/0.70  (define @t78 () (@quantifiers_skolemize @t77 0))
% 0.52/0.70  (define @t79 () (@quantifiers_skolemize @t77 1))
% 0.52/0.70  (define @t80 () (tptp.relation_restriction @t79 @t78))
% 0.52/0.70  (define @t81 () (tptp.relation_field @t80))
% 0.52/0.70  (define @t82 () (not (tptp.in @t17 @t78)))
% 0.52/0.70  (define @t83 () (forall @t20 (or @t82 (tptp.in @t17 @t81))))
% 0.52/0.70  (define @t84 () (@quantifiers_skolemize @t83 0))
% 0.52/0.70  (define @t85 () (tptp.in @t84 @t81))
% 0.52/0.70  (define @t86 () (and @t85 @t85))
% 0.52/0.70  (define @t87 () (tptp.ordered_pair @t84 @t84))
% 0.52/0.70  (define @t88 () (tptp.in @t87 @t80))
% 0.52/0.70  (define @t89 () (not @t88))
% 0.52/0.70  (define @t90 () (tptp.relation @t80))
% 0.52/0.70  (define @t91 () (not @t90))
% 0.52/0.70  (define @t92 () (or @t91 @t89 @t86))
% 0.52/0.70  (define @t93 () (forall @t47 @t71))
% 0.52/0.70  (define @t94 () (or @t91 @t89 @t85))
% 0.52/0.70  (define @t95 () (@list false))
% 0.52/0.70  (define @t96 () (tptp.subset @t78 @t81))
% 0.52/0.70  (define @t97 () (tptp.subset @t81 @t78))
% 0.52/0.70  (define @t98 () (and @t97 @t96))
% 0.52/0.70  (define @t99 () (= (= @t81 @t78) @t98))
% 0.52/0.70  (define @t100 () (= @t78 @t81))
% 0.52/0.70  (define @t101 () (= @t100 @t98))
% 0.52/0.70  (define @t102 () (or @t74 @t73 @t72))
% 0.52/0.70  (define @t103 () (=> @t63 @t72))
% 0.52/0.70  (define @t104 () (tptp.relation_field @t79))
% 0.52/0.70  (define @t105 () (tptp.subset @t78 @t104))
% 0.52/0.70  (define @t106 () (not @t105))
% 0.52/0.70  (define @t107 () (tptp.well_ordering @t79))
% 0.52/0.70  (define @t108 () (not @t107))
% 0.52/0.70  (define @t109 () (tptp.relation @t79))
% 0.52/0.70  (define @t110 () (not @t109))
% 0.52/0.70  (define @t111 () (or @t110 @t108 @t106 @t100))
% 0.52/0.70  (define @t112 () (@list true))
% 0.52/0.70  (define @t113 () (@list @t111))
% 0.52/0.70  (define @t114 () (not @t98))
% 0.52/0.70  (define @t115 () (@list true false))
% 0.52/0.70  (define @t116 () (and (tptp.subset @t81 @t104) @t97))
% 0.52/0.70  (define @t117 () (or @t110 @t116))
% 0.52/0.70  (define @t118 () (@list false false))
% 0.52/0.70  (define @t119 () (not @t96))
% 0.52/0.70  (define @t120 () (= @t96 @t83))
% 0.52/0.70  (define @t121 () (not @t83))
% 0.52/0.70  (define @t122 () (tptp.in @t84 @t78))
% 0.52/0.70  (define @t123 () (not @t122))
% 0.52/0.70  (define @t124 () (or @t123 @t85))
% 0.52/0.70  (define @t125 () (@list @t124))
% 0.52/0.70  (define @t126 () (or @t110 @t90))
% 0.52/0.70  (define @t127 () (tptp.in @t87 (tptp.cartesian_product2 @t78 @t78)))
% 0.52/0.70  (define @t128 () (tptp.in @t87 @t79))
% 0.52/0.70  (define @t129 () (and @t128 @t127))
% 0.52/0.70  (define @t130 () (= @t88 @t129))
% 0.52/0.70  (define @t131 () (or @t110 @t130))
% 0.52/0.70  (define @t132 () (and @t122 @t122))
% 0.52/0.70  (define @t133 () (= @t127 @t132))
% 0.52/0.70  (define @t134 () (= @t122 @t127))
% 0.52/0.70  (define @t135 () (= @t24 (forall @t31 (or (not @t37) @t36))))
% 0.52/0.70  (define @t136 () (@list @t79))
% 0.52/0.70  (define @t137 () (forall @t31 (or (not (tptp.in @t2 @t104)) (tptp.in @t35 @t79))))
% 0.52/0.70  (define @t138 () (tptp.reflexive @t79))
% 0.52/0.70  (define @t139 () (= @t138 @t137))
% 0.52/0.70  (define @t140 () (or @t110 @t139))
% 0.52/0.70  (define @t141 () (and @t138 (tptp.transitive @t79) (tptp.antisymmetric @t79) (tptp.connected @t79) (tptp.well_founded_relation @t79)))
% 0.52/0.70  (define @t142 () (= @t107 @t141))
% 0.52/0.70  (define @t143 () (or @t110 @t142))
% 0.52/0.70  (define @t144 () (@list @t84))
% 0.52/0.70  (define @t145 () (forall @t20 (or @t82 (tptp.in @t17 @t104))))
% 0.52/0.70  (define @t146 () (= @t105 @t145))
% 0.52/0.70  (define @t147 () (tptp.in @t84 @t104))
% 0.52/0.70  (define @t148 () (or @t123 @t147))
% 0.52/0.70  (define @t149 () (not @t147))
% 0.52/0.70  (define @t150 () (or @t149 @t128))
% 0.52/0.70  (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1)))))
% 0.52/0.70  (assume @p2 (forall @t7 (=> @t6 @t5)))
% 0.52/0.70  (assume @p3 (forall @t7 (=> @t10 @t9)))
% 0.52/0.70  (assume @p4 (forall @t4 (= @t11 (tptp.unordered_pair @t2 @t1))))
% 0.52/0.70  (assume @p5 (forall @t4 (= @t13 @t12)))
% 0.52/0.70  (assume @p6 (forall @t4 (= (tptp.set_intersection2 @t1 @t2) (tptp.set_intersection2 @t2 @t1))))
% 0.52/0.70  (assume @p7 @t16)
% 0.52/0.70  (assume @p8 @t23)
% 0.52/0.70  (assume @p9 @t26)
% 0.52/0.70  (assume @p10 (forall @t4 (= @t27 (tptp.unordered_pair @t11 (tptp.singleton @t1)))))
% 0.52/0.70  (assume @p11 (forall @t7 (=> @t8 (= @t28 (tptp.set_union2 (tptp.relation_dom @t1) (tptp.relation_rng @t1))))))
% 0.52/0.70  (assume @p12 (forall @t7 (=> @t8 (forall @t31 (= @t30 (tptp.set_intersection2 @t1 @t29))))))
% 0.52/0.70  (assume @p13 true)
% 0.52/0.70  (assume @p14 @t33)
% 0.52/0.70  (assume @p15 (forall @t7 (exists @t31 (tptp.element @t2 @t1))))
% 0.52/0.70  (assume @p16 (tptp.empty tptp.empty_set))
% 0.52/0.70  (assume @p17 (forall @t4 (not (tptp.empty @t27))))
% 0.52/0.70  (assume @p18 (forall @t4 (=> @t34 (not (tptp.empty @t13)))))
% 0.52/0.70  (assume @p19 (forall @t4 (=> @t34 (not (tptp.empty @t12)))))
% 0.52/0.70  (assume @p20 (forall @t4 (= (tptp.set_union2 @t1 @t1) @t1)))
% 0.52/0.70  (assume @p21 (forall @t4 (= (tptp.set_intersection2 @t1 @t1) @t1)))
% 0.52/0.70  (assume @p22 @t41)
% 0.52/0.70  (assume @p23 (exists @t7 (and @t8 @t5)))
% 0.52/0.70  (assume @p24 (exists @t7 @t6))
% 0.52/0.70  (assume @p25 (exists @t7 @t10))
% 0.52/0.70  (assume @p26 (exists @t7 @t34))
% 0.52/0.70  (assume @p27 (exists @t7 @t9))
% 0.52/0.70  (assume @p28 (forall @t4 (tptp.subset @t1 @t1)))
% 0.52/0.70  (assume @p29 @t44)
% 0.52/0.70  (assume @p30 @t48)
% 0.52/0.70  (assume @p31 (forall @t7 (= (tptp.set_union2 @t1 tptp.empty_set) @t1)))
% 0.52/0.70  (assume @p32 (forall @t4 (=> @t3 @t49)))
% 0.52/0.70  (assume @p33 @t54)
% 0.52/0.70  (assume @p34 (forall @t7 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set)))
% 0.52/0.70  (assume @p35 (forall @t4 (=> @t49 (or @t55 @t3))))
% 0.52/0.70  (assume @p36 @t60)
% 0.52/0.70  (assume @p37 @t67)
% 0.52/0.70  (assume @p38 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) @t14)))
% 0.52/0.70  (assume @p39 (forall @t47 (=> (and @t3 @t68) (tptp.element @t1 @t17))))
% 0.52/0.70  (assume @p40 (forall @t47 (not (and @t3 @t68 (tptp.empty @t17)))))
% 0.52/0.70  (assume @p41 (forall @t7 (=> @t6 (= @t1 tptp.empty_set))))
% 0.52/0.70  (assume @p42 (forall @t4 (not (and @t3 @t55))))
% 0.52/0.70  (assume @p43 (forall @t4 (not (and @t6 (not @t15) @t55))))
% 0.52/0.70  (step @p44 :rule aci_norm :args ((= (or @t70 (or @t69 @t57)) @t71)))
% 0.52/0.70  (step @p45 :rule bool-impl-elim :args (@t58 @t57))
% 0.52/0.70  (step @p46 :rule refl :args (@t70))
% 0.52/0.70  (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or @t70 @t59)))
% 0.52/0.70  (step @p48 :rule trans :premises (@p47 @p44))
% 0.52/0.70  (step @p49 :rule bool-impl-elim :args (@t46 @t59))
% 0.52/0.70  (step @p50 :rule trans :premises (@p49 @p48))
% 0.52/0.70  (step @p51 :rule cong :premises (@p50) :args (@t60))
% 0.52/0.70  (step @p52 :rule eq_resolve :premises (@p36 @p51))
% 0.52/0.70  (step @p53 :rule aci_norm :args ((= @t86 @t85)))
% 0.52/0.70  (step @p54 :rule refl :args (@t89))
% 0.52/0.70  (step @p55 :rule refl :args (@t91))
% 0.52/0.70  (step @p56 :rule nary_cong :premises (@p55 @p54 @p53) :args (@t92))
% 0.52/0.70  (step @p57 :rule refl :args (@t93))
% 0.52/0.70  (step @p58 :rule cong :premises (@p57 @p56) :args ((=> @t93 @t92)))
% 0.52/0.70  (assume-push @p242 @t93)
% 0.52/0.70  (step @p60 :rule instantiate :premises (@p52) :args ((@list @t84 @t84 @t80)))
% 0.52/0.70  (step-pop @p243 :rule scope :premises (@p60))
% 0.52/0.70  (step @p61 :rule process_scope :premises (@p243) :args (@t92))
% 0.52/0.70  (step @p63 :rule eq_resolve :premises (@p61 @p58))
% 0.52/0.70  (step @p64 :rule implies_elim :premises (@p63))
% 0.52/0.70  (step @p65 :rule chain_m_resolution :premises (@p64 @p52) :args (@t94 @t95 (@list @t93)))
% 0.52/0.70  (step @p66 :rule bool-impl-elim :args (@t19 @t18))
% 0.52/0.70  (step @p67 :rule cong :premises (@p66) :args (@t21))
% 0.52/0.70  (step @p68 :rule refl :args (@t14))
% 0.52/0.70  (step @p69 :rule cong :premises (@p68 @p67) :args (@t22))
% 0.52/0.70  (step @p70 :rule cong :premises (@p69) :args (@t23))
% 0.52/0.70  (step @p71 :rule eq_resolve :premises (@p8 @p70))
% 0.52/0.70  (step @p72 :rule instantiate :premises (@p71) :args ((@list @t78 @t81)))
% 0.52/0.70  (step @p73 :rule refl :args (@t98))
% 0.52/0.70  (step @p74 :rule eq-symm :args (@t81 @t78))
% 0.52/0.70  (step @p75 :rule cong :premises (@p74 @p73) :args (@t99))
% 0.52/0.70  (step @p76 :rule refl :args (@t16))
% 0.52/0.70  (step @p77 :rule cong :premises (@p76 @p75) :args ((=> @t16 @t99)))
% 0.52/0.70  (assume-push @p244 @t16)
% 0.52/0.70  (step @p79 :rule instantiate :premises (@p7) :args ((@list @t81 @t78)))
% 0.52/0.70  (step-pop @p245 :rule scope :premises (@p79))
% 0.52/0.70  (step @p80 :rule process_scope :premises (@p245) :args (@t99))
% 0.52/0.70  (step @p82 :rule eq_resolve :premises (@p80 @p77))
% 0.52/0.70  (step @p83 :rule implies_elim :premises (@p82))
% 0.52/0.70  (step @p84 :rule chain_m_resolution :premises (@p83 @p7) :args (@t101 @t95 (@list @t16)))
% 0.52/0.70  (step @p85 :rule aci_norm :args ((= (or @t75 @t102) @t76)))
% 0.52/0.70  (step @p86 :rule aci_norm :args ((= (or (or @t74 @t73) @t72) @t102)))
% 0.52/0.70  (step @p87 :rule refl :args (@t72))
% 0.52/0.70  (step @p88 :rule bool-and-de-morgan :args (@t62 @t61 true))
% 0.52/0.70  (step @p89 :rule nary_cong :premises (@p88 @p87) :args ((or (not @t63) @t72)))
% 0.52/0.70  (step @p90 :rule trans :premises (@p89 @p86))
% 0.52/0.70  (step @p91 :rule bool-impl-elim :args (@t63 @t72))
% 0.52/0.70  (step @p92 :rule trans :premises (@p91 @p90))
% 0.52/0.70  (step @p93 :rule refl :args (@t75))
% 0.52/0.70  (step @p94 :rule nary_cong :premises (@p93 @p92) :args ((or @t75 @t103)))
% 0.52/0.70  (step @p95 :rule trans :premises (@p94 @p85))
% 0.52/0.70  (step @p96 :rule bool-impl-elim :args (@t53 @t103))
% 0.52/0.70  (step @p97 :rule trans :premises (@p96 @p95))
% 0.52/0.70  (step @p98 :rule cong :premises (@p97) :args ((forall @t4 (=> @t53 @t103))))
% 0.52/0.70  (step @p99 :rule eq-symm :args (@t50 @t1))
% 0.52/0.70  (step @p100 :rule refl :args (@t63))
% 0.52/0.70  (step @p101 :rule cong :premises (@p100 @p99) :args (@t64))
% 0.52/0.70  (step @p102 :rule refl :args (@t53))
% 0.52/0.70  (step @p103 :rule cong :premises (@p102 @p101) :args (@t65))
% 0.52/0.70  (step @p104 :rule cong :premises (@p103) :args (@t66))
% 0.52/0.70  (step @p105 :rule trans :premises (@p104 @p98))
% 0.52/0.70  (step @p106 :rule cong :premises (@p105) :args (@t67))
% 0.52/0.70  (step @p107 :rule eq_resolve :premises (@p37 @p106))
% 0.52/0.70  (step @p108 :rule skolemize :premises (@p107))
% 0.52/0.70  (step @p109 :rule cnf_or_neg :args (@t111 3))
% 0.52/0.70  (step @p110 :rule chain_m_resolution :premises (@p109 @p108) :args ((not @t100) @t112 @t113))
% 0.52/0.70  (step @p111 :rule cnf_equiv_pos2 :args (@t101))
% 0.52/0.70  (step @p112 :rule reordering :premises (@p111) :args ((or @t100 @t114 (not @t101))))
% 0.52/0.70  (step @p113 :rule chain_m_resolution :premises (@p112 @p110 @p84) :args (@t114 @t115 (@list @t100 @t101)))
% 0.52/0.70  (step @p114 :rule bool-impl-elim :args (@t53 @t52))
% 0.52/0.70  (step @p115 :rule cong :premises (@p114) :args (@t54))
% 0.52/0.70  (step @p116 :rule eq_resolve :premises (@p33 @p115))
% 0.52/0.70  (step @p117 :rule instantiate :premises (@p116) :args ((@list @t78 @t79)))
% 0.52/0.70  (step @p118 :rule bool-double-not-elim :args (@t109))
% 0.52/0.70  (step @p119 :rule refl :args (@t111))
% 0.52/0.70  (step @p120 :rule nary_cong :premises (@p119 @p118) :args ((or @t111 (not @t110))))
% 0.52/0.70  (step @p121 :rule cnf_or_neg :args (@t111 0))
% 0.52/0.70  (step @p122 :rule eq_resolve :premises (@p121 @p120))
% 0.52/0.70  (step @p123 :rule reordering :premises (@p122) :args ((or @t109 @t111)))
% 0.52/0.70  (step @p124 :rule chain_m_resolution :premises (@p123 @p108) :args (@t109 @t112 @t113))
% 0.52/0.70  (step @p125 :rule cnf_or_pos :args (@t117))
% 0.52/0.70  (step @p126 :rule reordering :premises (@p125) :args ((or @t110 @t116 (not @t117))))
% 0.52/0.70  (step @p127 :rule chain_m_resolution :premises (@p126 @p124 @p117) :args (@t116 @t118 (@list @t109 @t117)))
% 0.52/0.70  (step @p128 :rule cnf_and_pos :args (@t116 1))
% 0.52/0.70  (step @p129 :rule reordering :premises (@p128) :args ((or @t97 (not @t116))))
% 0.52/0.70  (step @p130 :rule chain_m_resolution :premises (@p129 @p127) :args (@t97 @t95 (@list @t116)))
% 0.52/0.70  (step @p131 :rule cnf_and_neg :args (@t98))
% 0.52/0.70  (step @p132 :rule reordering :premises (@p131) :args ((or (not @t97) @t98 @t119)))
% 0.52/0.70  (step @p133 :rule chain_m_resolution :premises (@p132 @p130 @p113) :args (@t119 (@list false true) (@list @t97 @t98)))
% 0.52/0.70  (step @p134 :rule cnf_equiv_pos2 :args (@t120))
% 0.52/0.70  (step @p135 :rule reordering :premises (@p134) :args ((or @t96 @t121 (not @t120))))
% 0.52/0.70  (step @p136 :rule chain_m_resolution :premises (@p135 @p133 @p72) :args (@t121 @t115 (@list @t96 @t120)))
% 0.52/0.70  (step @p137 :rule skolemize :premises (@p136))
% 0.52/0.70  (step @p138 :rule cnf_or_neg :args (@t124 1))
% 0.52/0.70  (step @p139 :rule chain_m_resolution :premises (@p138 @p137) :args ((not @t85) @t112 @t125))
% 0.52/0.70  (step @p140 :rule bool-impl-elim :args (@t8 @t32))
% 0.52/0.70  (step @p141 :rule cong :premises (@p140) :args (@t33))
% 0.52/0.70  (step @p142 :rule eq_resolve :premises (@p14 @p141))
% 0.52/0.70  (step @p143 :rule instantiate :premises (@p142) :args ((@list @t79 @t78)))
% 0.52/0.70  (step @p144 :rule cnf_or_pos :args (@t126))
% 0.52/0.70  (step @p145 :rule reordering :premises (@p144) :args ((or @t110 @t90 (not @t126))))
% 0.52/0.70  (step @p146 :rule chain_m_resolution :premises (@p145 @p124 @p143) :args (@t90 @t118 (@list @t109 @t126)))
% 0.52/0.70  (step @p147 :rule cnf_or_pos :args (@t94))
% 0.52/0.70  (step @p148 :rule reordering :premises (@p147) :args ((or @t91 @t85 @t89 (not @t94))))
% 0.52/0.70  (step @p149 :rule chain_m_resolution :premises (@p148 @p146 @p139 @p65) :args (@t89 (@list false true false) (@list @t90 @t85 @t94)))
% 0.52/0.70  (step @p150 :rule bool-impl-elim :args (@t46 @t45))
% 0.52/0.70  (step @p151 :rule cong :premises (@p150) :args (@t48))
% 0.52/0.70  (step @p152 :rule eq_resolve :premises (@p30 @p151))
% 0.52/0.70  (step @p153 :rule instantiate :premises (@p152) :args ((@list @t87 @t78 @t79)))
% 0.52/0.70  (step @p154 :rule cnf_or_pos :args (@t131))
% 0.52/0.70  (step @p155 :rule reordering :premises (@p154) :args ((or @t110 @t130 (not @t131))))
% 0.52/0.70  (step @p156 :rule chain_m_resolution :premises (@p155 @p124 @p153) :args (@t130 @t118 (@list @t109 @t131)))
% 0.52/0.70  (step @p157 :rule eq-symm :args (@t127 @t122))
% 0.52/0.70  (step @p158 :rule aci_norm :args ((= @t132 @t122)))
% 0.52/0.70  (step @p159 :rule refl :args (@t127))
% 0.52/0.70  (step @p160 :rule cong :premises (@p159 @p158) :args (@t133))
% 0.52/0.70  (step @p161 :rule trans :premises (@p160 @p157))
% 0.52/0.70  (step @p162 :rule refl :args (@t44))
% 0.52/0.70  (step @p163 :rule cong :premises (@p162 @p161) :args ((=> @t44 @t133)))
% 0.52/0.70  (assume-push @p246 @t44)
% 0.52/0.70  (step @p165 :rule instantiate :premises (@p29) :args ((@list @t84 @t84 @t78 @t78)))
% 0.52/0.70  (step-pop @p247 :rule scope :premises (@p165))
% 0.52/0.70  (step @p166 :rule process_scope :premises (@p247) :args (@t133))
% 0.52/0.70  (step @p168 :rule eq_resolve :premises (@p166 @p163))
% 0.52/0.70  (step @p169 :rule implies_elim :premises (@p168))
% 0.52/0.70  (step @p170 :rule chain_m_resolution :premises (@p169 @p29) :args (@t134 @t95 (@list @t44)))
% 0.52/0.70  (step @p171 :rule bool-double-not-elim :args (@t122))
% 0.52/0.70  (step @p172 :rule refl :args (@t124))
% 0.52/0.70  (step @p173 :rule nary_cong :premises (@p172 @p171) :args ((or @t124 (not @t123))))
% 0.52/0.70  (step @p174 :rule cnf_or_neg :args (@t124 0))
% 0.52/0.70  (step @p175 :rule eq_resolve :premises (@p174 @p173))
% 0.52/0.70  (step @p176 :rule reordering :premises (@p175) :args ((or @t122 @t124)))
% 0.52/0.70  (step @p177 :rule chain_m_resolution :premises (@p176 @p137) :args (@t122 @t112 @t125))
% 0.52/0.70  (step @p178 :rule cnf_equiv_pos1 :args (@t134))
% 0.52/0.70  (step @p179 :rule reordering :premises (@p178) :args ((or @t123 @t127 (not @t134))))
% 0.52/0.70  (step @p180 :rule chain_m_resolution :premises (@p179 @p177 @p170) :args (@t127 @t118 (@list @t122 @t134)))
% 0.52/0.70  (step @p181 :rule bool-impl-elim :args (@t8 @t135))
% 0.52/0.70  (step @p182 :rule cong :premises (@p181) :args ((forall @t7 (=> @t8 @t135))))
% 0.52/0.70  (step @p183 :rule bool-impl-elim :args (@t37 @t36))
% 0.52/0.70  (step @p184 :rule cong :premises (@p183) :args (@t38))
% 0.52/0.70  (step @p185 :rule refl :args (@t24))
% 0.52/0.70  (step @p186 :rule cong :premises (@p185 @p184) :args (@t39))
% 0.52/0.70  (step @p187 :rule refl :args (@t8))
% 0.52/0.70  (step @p188 :rule cong :premises (@p187 @p186) :args (@t40))
% 0.52/0.70  (step @p189 :rule cong :premises (@p188) :args (@t41))
% 0.52/0.70  (step @p190 :rule trans :premises (@p189 @p182))
% 0.52/0.70  (step @p191 :rule eq_resolve :premises (@p22 @p190))
% 0.52/0.70  (step @p192 :rule instantiate :premises (@p191) :args (@t136))
% 0.52/0.70  (step @p193 :rule cnf_or_pos :args (@t140))
% 0.52/0.70  (step @p194 :rule reordering :premises (@p193) :args ((or @t110 @t139 (not @t140))))
% 0.52/0.70  (step @p195 :rule chain_m_resolution :premises (@p194 @p124 @p192) :args (@t139 @t118 (@list @t109 @t140)))
% 0.52/0.70  (step @p196 :rule bool-impl-elim :args (@t8 @t25))
% 0.52/0.70  (step @p197 :rule cong :premises (@p196) :args (@t26))
% 0.52/0.70  (step @p198 :rule eq_resolve :premises (@p9 @p197))
% 0.52/0.70  (step @p199 :rule instantiate :premises (@p198) :args (@t136))
% 0.52/0.70  (step @p200 :rule cnf_or_pos :args (@t143))
% 0.52/0.70  (step @p201 :rule reordering :premises (@p200) :args ((or @t110 @t142 (not @t143))))
% 0.52/0.70  (step @p202 :rule chain_m_resolution :premises (@p201 @p124 @p199) :args (@t142 @t118 (@list @t109 @t143)))
% 0.52/0.70  (step @p203 :rule bool-double-not-elim :args (@t107))
% 0.52/0.70  (step @p204 :rule nary_cong :premises (@p119 @p203) :args ((or @t111 (not @t108))))
% 0.52/0.70  (step @p205 :rule cnf_or_neg :args (@t111 1))
% 0.52/0.70  (step @p206 :rule eq_resolve :premises (@p205 @p204))
% 0.52/0.70  (step @p207 :rule reordering :premises (@p206) :args ((or @t107 @t111)))
% 0.52/0.70  (step @p208 :rule chain_m_resolution :premises (@p207 @p108) :args (@t107 @t112 @t113))
% 0.52/0.70  (step @p209 :rule cnf_equiv_pos1 :args (@t142))
% 0.52/0.70  (step @p210 :rule reordering :premises (@p209) :args ((or @t108 @t141 (not @t142))))
% 0.52/0.70  (step @p211 :rule chain_m_resolution :premises (@p210 @p208 @p202) :args (@t141 @t118 (@list @t107 @t142)))
% 0.52/0.70  (step @p212 :rule cnf_and_pos :args (@t141 0))
% 0.52/0.70  (step @p213 :rule reordering :premises (@p212) :args ((or @t138 (not @t141))))
% 0.52/0.70  (step @p214 :rule chain_m_resolution :premises (@p213 @p211) :args (@t138 @t95 (@list @t141)))
% 0.52/0.70  (step @p215 :rule cnf_equiv_pos1 :args (@t139))
% 0.52/0.70  (step @p216 :rule reordering :premises (@p215) :args ((or @t137 (not @t138) (not @t139))))
% 0.52/0.70  (step @p217 :rule chain_m_resolution :premises (@p216 @p214 @p195) :args (@t137 @t118 (@list @t138 @t139)))
% 0.52/0.70  (step @p218 :rule instantiate :premises (@p217) :args (@t144))
% 0.52/0.70  (step @p219 :rule instantiate :premises (@p71) :args ((@list @t78 @t104)))
% 0.52/0.70  (step @p220 :rule bool-double-not-elim :args (@t105))
% 0.52/0.70  (step @p221 :rule nary_cong :premises (@p119 @p220) :args ((or @t111 (not @t106))))
% 0.52/0.70  (step @p222 :rule cnf_or_neg :args (@t111 2))
% 0.52/0.70  (step @p223 :rule eq_resolve :premises (@p222 @p221))
% 0.52/0.70  (step @p224 :rule reordering :premises (@p223) :args ((or @t105 @t111)))
% 0.52/0.70  (step @p225 :rule chain_m_resolution :premises (@p224 @p108) :args (@t105 @t112 @t113))
% 0.52/0.70  (step @p226 :rule cnf_equiv_pos1 :args (@t146))
% 0.52/0.70  (step @p227 :rule reordering :premises (@p226) :args ((or @t106 @t145 (not @t146))))
% 0.52/0.70  (step @p228 :rule chain_m_resolution :premises (@p227 @p225 @p219) :args (@t145 @t118 (@list @t105 @t146)))
% 0.52/0.70  (step @p229 :rule instantiate :premises (@p228) :args (@t144))
% 0.52/0.70  (step @p230 :rule cnf_or_pos :args (@t148))
% 0.52/0.70  (step @p231 :rule reordering :premises (@p230) :args ((or @t123 @t147 (not @t148))))
% 0.52/0.70  (step @p232 :rule chain_m_resolution :premises (@p231 @p177 @p229) :args (@t147 @t118 (@list @t122 @t148)))
% 0.52/0.70  (step @p233 :rule cnf_or_pos :args (@t150))
% 0.52/0.70  (step @p234 :rule reordering :premises (@p233) :args ((or @t149 @t128 (not @t150))))
% 0.52/0.70  (step @p235 :rule chain_m_resolution :premises (@p234 @p232 @p218) :args (@t128 @t118 (@list @t147 @t150)))
% 0.52/0.70  (step @p236 :rule cnf_and_neg :args (@t129))
% 0.52/0.70  (step @p237 :rule reordering :premises (@p236) :args ((or (not @t128) @t129 (not @t127))))
% 0.52/0.70  (step @p238 :rule chain_m_resolution :premises (@p237 @p235 @p180) :args (@t129 @t118 (@list @t128 @t127)))
% 0.52/0.70  (step @p239 :rule cnf_equiv_pos2 :args (@t130))
% 0.52/0.70  (step @p240 :rule reordering :premises (@p239) :args ((or @t88 (not @t129) (not @t130))))
% 0.52/0.70  (step @p241 false :rule chain_m_resolution :premises (@p240 @p238 @p156 @p149) :args (false (@list false false true) (@list @t129 @t130 @t88)))
% 0.52/0.70  )
% 0.52/0.70  % SZS output end Proof
% 0.52/0.70  % cvc5 exiting
%------------------------------------------------------------------------------