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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SEU032+1 : TPTP v9.2.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n018.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 08:50:29 AM UTC 2026

% Result   : Theorem 0.45s 0.64s
% Output   : Proof 0.45s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU032+1 : TPTP v9.2.1. Released v3.2.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.34  % Computer : n018.cluster.edu
% 0.18/0.34  % Model    : x86_64 x86_64
% 0.18/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34  % Memory   : 8042.1875MB
% 0.18/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34  % CPULimit : 300
% 0.18/0.34  % WCLimit  : 300
% 0.18/0.34  % DateTime : Tue Jun  2 16:23:20 EDT 2026
% 0.18/0.35  % CPUTime  : 
% 0.28/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.45/0.64  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.45/0.64  % SZS status Theorem
% 0.45/0.64  % SZS output start Proof
% 0.45/0.64  (
% 0.45/0.64  (declare-sort $$unsorted 0)
% 0.45/0.64  (declare-const tptp.subset (-> $$unsorted $$unsorted Bool))
% 0.45/0.64  (declare-const tptp.in (-> $$unsorted $$unsorted Bool))
% 0.45/0.64  (declare-const tptp.identity_relation (-> $$unsorted $$unsorted))
% 0.45/0.64  (declare-const tptp.function (-> $$unsorted Bool))
% 0.45/0.64  (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted))
% 0.45/0.64  (declare-const tptp.empty (-> $$unsorted Bool))
% 0.45/0.64  (declare-const tptp.relation (-> $$unsorted Bool))
% 0.45/0.64  (declare-const tptp.one_to_one (-> $$unsorted Bool))
% 0.45/0.64  (declare-const tptp.relation_rng (-> $$unsorted $$unsorted))
% 0.45/0.64  (declare-const tptp.empty_set $$unsorted)
% 0.45/0.64  (declare-const tptp.function_inverse (-> $$unsorted $$unsorted))
% 0.45/0.64  (declare-const tptp.element (-> $$unsorted $$unsorted Bool))
% 0.45/0.64  (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool))
% 0.45/0.64  (declare-const tptp.powerset (-> $$unsorted $$unsorted))
% 0.45/0.64  (declare-const tptp.relation_dom (-> $$unsorted $$unsorted))
% 0.45/0.64  (define @t1 () (@var "A" $$unsorted))
% 0.45/0.64  (define @t2 () (@var "B" $$unsorted))
% 0.45/0.64  (define @t3 () (tptp.in @t1 @t2))
% 0.45/0.64  (define @t4 () (@list @t1 @t2))
% 0.45/0.64  (define @t5 () (tptp.function @t1))
% 0.45/0.64  (define @t6 () (tptp.empty @t1))
% 0.45/0.64  (define @t7 () (@list @t1))
% 0.45/0.64  (define @t8 () (tptp.relation @t1))
% 0.45/0.64  (define @t9 () (tptp.one_to_one @t1))
% 0.45/0.64  (define @t10 () (and @t8 @t5 @t9))
% 0.45/0.64  (define @t11 () (and @t8 @t6 @t5))
% 0.45/0.64  (define @t12 () (tptp.function_inverse @t1))
% 0.45/0.64  (define @t13 () (and (tptp.relation @t12) (tptp.function @t12)))
% 0.45/0.64  (define @t14 () (and @t8 @t5))
% 0.45/0.64  (define @t15 () (forall @t7 (=> @t14 @t13)))
% 0.45/0.64  (define @t16 () (tptp.relation_composition @t1 @t2))
% 0.45/0.64  (define @t17 () (tptp.relation @t16))
% 0.45/0.64  (define @t18 () (tptp.relation @t2))
% 0.45/0.64  (define @t19 () (tptp.identity_relation @t1))
% 0.45/0.64  (define @t20 () (tptp.relation @t19))
% 0.45/0.64  (define @t21 () (@list @t2))
% 0.45/0.64  (define @t22 () (tptp.relation_composition @t2 @t1))
% 0.45/0.64  (define @t23 () (and @t6 @t18))
% 0.45/0.64  (define @t24 () (tptp.relation tptp.empty_set))
% 0.45/0.64  (define @t25 () (tptp.empty tptp.empty_set))
% 0.45/0.64  (define @t26 () (tptp.function @t2))
% 0.45/0.64  (define @t27 () (tptp.powerset @t1))
% 0.45/0.64  (define @t28 () (tptp.relation_dom @t1))
% 0.45/0.64  (define @t29 () (tptp.empty @t28))
% 0.45/0.64  (define @t30 () (not @t6))
% 0.45/0.64  (define @t31 () (and @t30 @t8))
% 0.45/0.64  (define @t32 () (tptp.relation_rng @t1))
% 0.45/0.64  (define @t33 () (tptp.empty @t32))
% 0.45/0.64  (define @t34 () (tptp.empty @t2))
% 0.45/0.64  (define @t35 () (tptp.element @t2 @t27))
% 0.45/0.64  (define @t36 () (tptp.element @t1 @t2))
% 0.45/0.64  (define @t37 () (@var "C" $$unsorted))
% 0.45/0.64  (define @t38 () (tptp.element @t2 (tptp.powerset @t37)))
% 0.45/0.64  (define @t39 () (@list @t1 @t2 @t37))
% 0.45/0.64  (define @t40 () (and (= @t32 (tptp.relation_dom @t12)) (= @t28 (tptp.relation_rng @t12))))
% 0.45/0.64  (define @t41 () (=> @t9 @t40))
% 0.45/0.64  (define @t42 () (forall @t7 (=> @t14 @t41)))
% 0.45/0.64  (define @t43 () (tptp.identity_relation @t28))
% 0.45/0.64  (define @t44 () (and (= (tptp.relation_composition @t1 @t12) @t43) (= (tptp.relation_composition @t12 @t1) (tptp.identity_relation @t32))))
% 0.45/0.64  (define @t45 () (=> @t9 @t44))
% 0.45/0.64  (define @t46 () (forall @t7 (=> @t14 @t45)))
% 0.45/0.64  (define @t47 () (tptp.one_to_one @t12))
% 0.45/0.64  (define @t48 () (=> @t9 @t47))
% 0.45/0.64  (define @t49 () (forall @t7 (=> @t14 @t48)))
% 0.45/0.64  (define @t50 () (= @t2 @t12))
% 0.45/0.64  (define @t51 () (= @t16 @t43))
% 0.45/0.64  (define @t52 () (= @t32 (tptp.relation_dom @t2)))
% 0.45/0.64  (define @t53 () (and @t9 @t52 @t51))
% 0.45/0.64  (define @t54 () (=> @t53 @t50))
% 0.45/0.64  (define @t55 () (and @t18 @t26))
% 0.45/0.64  (define @t56 () (forall @t21 (=> @t55 @t54)))
% 0.45/0.64  (define @t57 () (=> @t14 @t56))
% 0.45/0.64  (define @t58 () (forall @t7 @t57))
% 0.45/0.64  (define @t59 () (tptp.function_inverse @t12))
% 0.45/0.64  (define @t60 () (=> @t9 (= @t59 @t1)))
% 0.45/0.64  (define @t61 () (=> @t14 @t60))
% 0.45/0.64  (define @t62 () (forall @t7 @t61))
% 0.45/0.64  (define @t63 () (not @t62))
% 0.45/0.64  (define @t64 () (not @t9))
% 0.45/0.64  (define @t65 () (not @t5))
% 0.45/0.64  (define @t66 () (not @t8))
% 0.45/0.64  (define @t67 () (or @t66 @t65))
% 0.45/0.64  (define @t68 () (not @t14))
% 0.45/0.64  (define @t69 () (= @t1 @t59))
% 0.45/0.64  (define @t70 () (or @t66 @t65 @t64 @t69))
% 0.45/0.64  (define @t71 () (@quantifiers_skolemize (forall @t7 @t70) 0))
% 0.45/0.64  (define @t72 () (@list @t71))
% 0.45/0.64  (define @t73 () (=> @t9 @t69))
% 0.45/0.64  (define @t74 () (tptp.one_to_one @t71))
% 0.45/0.64  (define @t75 () (tptp.function_inverse @t71))
% 0.45/0.64  (define @t76 () (tptp.function_inverse @t75))
% 0.45/0.64  (define @t77 () (= @t71 @t76))
% 0.45/0.64  (define @t78 () (not @t74))
% 0.45/0.64  (define @t79 () (tptp.function @t71))
% 0.45/0.64  (define @t80 () (not @t79))
% 0.45/0.64  (define @t81 () (tptp.relation @t71))
% 0.45/0.64  (define @t82 () (not @t81))
% 0.45/0.64  (define @t83 () (or @t82 @t80 @t78 @t77))
% 0.45/0.64  (define @t84 () (@list true))
% 0.45/0.64  (define @t85 () (@list @t83))
% 0.45/0.64  (define @t86 () (tptp.relation_rng @t75))
% 0.45/0.64  (define @t87 () (tptp.relation_dom @t71))
% 0.45/0.64  (define @t88 () (= @t87 @t86))
% 0.45/0.64  (define @t89 () (tptp.relation_dom @t75))
% 0.45/0.64  (define @t90 () (tptp.relation_rng @t71))
% 0.45/0.64  (define @t91 () (= @t90 @t89))
% 0.45/0.64  (define @t92 () (and @t91 @t88))
% 0.45/0.64  (define @t93 () (or @t82 @t80 @t78 @t92))
% 0.45/0.64  (define @t94 () (@list false false false false))
% 0.45/0.64  (define @t95 () (not @t92))
% 0.45/0.64  (define @t96 () (@list false))
% 0.45/0.64  (define @t97 () (@list @t92))
% 0.45/0.64  (define @t98 () (tptp.identity_relation @t90))
% 0.45/0.64  (define @t99 () (tptp.relation_composition @t75 @t71))
% 0.45/0.64  (define @t100 () (= @t99 @t98))
% 0.45/0.64  (define @t101 () (and (= (tptp.relation_composition @t71 @t75) (tptp.identity_relation @t87)) @t100))
% 0.45/0.64  (define @t102 () (or @t82 @t80 @t78 @t101))
% 0.45/0.64  (define @t103 () (@list @t101))
% 0.45/0.64  (define @t104 () (@var "BOUND_VARIABLE_7801" $$unsorted))
% 0.45/0.64  (define @t105 () (tptp.relation_composition @t1 @t104))
% 0.45/0.64  (define @t106 () (not (= @t105 @t43)))
% 0.45/0.64  (define @t107 () (not (= @t32 (tptp.relation_dom @t104))))
% 0.45/0.64  (define @t108 () (not (tptp.function @t104)))
% 0.45/0.64  (define @t109 () (not (tptp.relation @t104)))
% 0.45/0.64  (define @t110 () (= @t104 @t12))
% 0.45/0.64  (define @t111 () (or @t66 @t65 @t64 @t109 @t108 @t107 @t106 @t110))
% 0.45/0.64  (define @t112 () (or @t109 @t108 @t107 @t106 @t110))
% 0.45/0.64  (define @t113 () (or @t66 @t65 @t64 @t112))
% 0.45/0.64  (define @t114 () (@list @t1 @t104))
% 0.45/0.64  (define @t115 () (forall @t114 @t113))
% 0.45/0.64  (define @t116 () (@list @t104))
% 0.45/0.64  (define @t117 () (forall @t116 @t113))
% 0.45/0.64  (define @t118 () (forall @t116 @t112))
% 0.45/0.64  (define @t119 () (or @t66 @t65 @t64 @t118))
% 0.45/0.64  (define @t120 () (not @t51))
% 0.45/0.64  (define @t121 () (not @t52))
% 0.45/0.64  (define @t122 () (not @t26))
% 0.45/0.64  (define @t123 () (not @t18))
% 0.45/0.64  (define @t124 () (or @t123 @t122 @t121 @t120 @t50))
% 0.45/0.64  (define @t125 () (forall @t21 @t124))
% 0.45/0.64  (define @t126 () (or @t66 @t65 @t64 @t125))
% 0.45/0.64  (define @t127 () (or @t64 @t125))
% 0.45/0.64  (define @t128 () (or @t64 @t124))
% 0.45/0.64  (define @t129 () (or @t123 @t122 @t64 @t121 @t120 @t50))
% 0.45/0.64  (define @t130 () (or @t64 @t121 @t120 @t50))
% 0.45/0.64  (define @t131 () (or @t64 @t121 @t120))
% 0.45/0.64  (define @t132 () (tptp.identity_relation @t89))
% 0.45/0.64  (define @t133 () (not (= @t132 @t99)))
% 0.45/0.64  (define @t134 () (not (= @t86 @t87)))
% 0.45/0.64  (define @t135 () (tptp.one_to_one @t75))
% 0.45/0.64  (define @t136 () (not @t135))
% 0.45/0.64  (define @t137 () (tptp.function @t75))
% 0.45/0.64  (define @t138 () (not @t137))
% 0.45/0.64  (define @t139 () (tptp.relation @t75))
% 0.45/0.64  (define @t140 () (not @t139))
% 0.45/0.64  (define @t141 () (or @t140 @t138 @t136 @t82 @t80 @t134 @t133 (= @t76 @t71)))
% 0.45/0.64  (define @t142 () (forall @t114 (or @t66 @t65 @t64 @t109 @t108 @t107 (not (= @t43 @t105)) (= @t12 @t104))))
% 0.45/0.64  (define @t143 () (= @t99 @t132))
% 0.45/0.64  (define @t144 () (not @t143))
% 0.45/0.64  (define @t145 () (not @t88))
% 0.45/0.64  (define @t146 () (or @t140 @t138 @t136 @t82 @t80 @t145 @t144 @t77))
% 0.45/0.64  (define @t147 () (or @t82 @t80 @t78 @t135))
% 0.45/0.64  (define @t148 () (and @t139 @t137))
% 0.45/0.64  (define @t149 () (or @t82 @t80 @t148))
% 0.45/0.64  (define @t150 () (not @t148))
% 0.45/0.64  (define @t151 () (@list @t148))
% 0.45/0.64  (define @t152 () (not @t100))
% 0.45/0.64  (define @t153 () (not @t91))
% 0.45/0.64  (define @t154 () (and @t144 @t143))
% 0.45/0.64  (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1)))))
% 0.45/0.64  (assume @p2 (forall @t7 (=> @t6 @t5)))
% 0.45/0.64  (assume @p3 (forall @t7 (=> @t6 @t8)))
% 0.45/0.64  (assume @p4 (forall @t7 (=> @t11 @t10)))
% 0.45/0.64  (assume @p5 @t15)
% 0.45/0.64  (assume @p6 (forall @t4 (=> (and @t8 @t18) @t17)))
% 0.45/0.64  (assume @p7 (forall @t7 @t20))
% 0.45/0.64  (assume @p8 (forall @t7 (exists @t21 (tptp.element @t2 @t1))))
% 0.45/0.64  (assume @p9 (forall @t4 (=> @t23 (and (tptp.empty @t22) (tptp.relation @t22)))))
% 0.45/0.64  (assume @p10 (and @t25 @t24 (tptp.relation_empty_yielding tptp.empty_set)))
% 0.45/0.64  (assume @p11 (forall @t4 (=> (and @t8 @t5 @t18 @t26) (and @t17 (tptp.function @t16)))))
% 0.45/0.64  (assume @p12 (forall @t7 (not (tptp.empty @t27))))
% 0.45/0.64  (assume @p13 @t25)
% 0.45/0.64  (assume @p14 (forall @t7 (and @t20 (tptp.function @t19))))
% 0.45/0.64  (assume @p15 (and @t25 @t24))
% 0.45/0.64  (assume @p16 (forall @t7 (=> @t31 (not @t29))))
% 0.45/0.64  (assume @p17 (forall @t7 (=> @t31 (not @t33))))
% 0.45/0.64  (assume @p18 (forall @t7 (=> @t6 (and @t29 (tptp.relation @t28)))))
% 0.45/0.64  (assume @p19 (forall @t7 (=> @t6 (and @t33 (tptp.relation @t32)))))
% 0.45/0.64  (assume @p20 (forall @t4 (=> @t23 (and (tptp.empty @t16) @t17))))
% 0.45/0.64  (assume @p21 (exists @t7 @t14))
% 0.45/0.64  (assume @p22 (exists @t7 (and @t6 @t8)))
% 0.45/0.64  (assume @p23 (forall @t7 (=> @t30 (exists @t21 (and @t35 (not @t34))))))
% 0.45/0.64  (assume @p24 (exists @t7 @t6))
% 0.45/0.64  (assume @p25 (exists @t7 @t11))
% 0.45/0.64  (assume @p26 (exists @t7 @t31))
% 0.45/0.64  (assume @p27 (forall @t7 (exists @t21 (and @t35 @t34))))
% 0.45/0.64  (assume @p28 (exists @t7 @t30))
% 0.45/0.64  (assume @p29 (exists @t7 @t10))
% 0.45/0.64  (assume @p30 (exists @t7 (and @t8 (tptp.relation_empty_yielding @t1))))
% 0.45/0.64  (assume @p31 (forall @t4 (tptp.subset @t1 @t1)))
% 0.45/0.64  (assume @p32 (forall @t4 (=> @t3 @t36)))
% 0.45/0.64  (assume @p33 (forall @t4 (=> @t36 (or @t34 @t3))))
% 0.45/0.64  (assume @p34 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2))))
% 0.45/0.64  (assume @p35 (forall @t39 (=> (and @t3 @t38) (tptp.element @t1 @t37))))
% 0.45/0.64  (assume @p36 @t42)
% 0.45/0.64  (assume @p37 (forall @t39 (not (and @t3 @t38 (tptp.empty @t37)))))
% 0.45/0.64  (assume @p38 @t46)
% 0.45/0.64  (assume @p39 @t49)
% 0.45/0.64  (assume @p40 @t58)
% 0.45/0.64  (assume @p41 @t63)
% 0.45/0.64  (assume @p42 (forall @t7 (=> @t6 (= @t1 tptp.empty_set))))
% 0.45/0.64  (assume @p43 (forall @t4 (not (and @t3 @t34))))
% 0.45/0.64  (assume @p44 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t34))))
% 0.45/0.64  (assume @p45 true)
% 0.45/0.64  (step @p46 :rule aci_norm :args ((= (or @t67 (or @t64 @t40)) (or @t66 @t65 @t64 @t40))))
% 0.45/0.64  (step @p47 :rule bool-impl-elim :args (@t9 @t40))
% 0.45/0.64  (step @p48 :rule bool-and-de-morgan :args (@t8 @t5 true))
% 0.45/0.64  (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((or @t68 @t41)))
% 0.45/0.64  (step @p50 :rule trans :premises (@p49 @p46))
% 0.45/0.64  (step @p51 :rule bool-impl-elim :args (@t14 @t41))
% 0.45/0.64  (step @p52 :rule trans :premises (@p51 @p50))
% 0.45/0.64  (step @p53 :rule cong :premises (@p52) :args (@t42))
% 0.45/0.64  (step @p54 :rule eq_resolve :premises (@p36 @p53))
% 0.45/0.64  (step @p55 :rule instantiate :premises (@p54) :args (@t72))
% 0.45/0.64  (step @p56 :rule aci_norm :args ((= (or @t67 (or @t64 @t69)) @t70)))
% 0.45/0.64  (step @p57 :rule bool-impl-elim :args (@t9 @t69))
% 0.45/0.64  (step @p58 :rule nary_cong :premises (@p48 @p57) :args ((or @t68 @t73)))
% 0.45/0.64  (step @p59 :rule trans :premises (@p58 @p56))
% 0.45/0.64  (step @p60 :rule bool-impl-elim :args (@t14 @t73))
% 0.45/0.64  (step @p61 :rule trans :premises (@p60 @p59))
% 0.45/0.64  (step @p62 :rule cong :premises (@p61) :args ((forall @t7 (=> @t14 @t73))))
% 0.45/0.64  (step @p63 :rule eq-symm :args (@t59 @t1))
% 0.45/0.64  (step @p64 :rule refl :args (@t9))
% 0.45/0.64  (step @p65 :rule cong :premises (@p64 @p63) :args (@t60))
% 0.45/0.64  (step @p66 :rule refl :args (@t14))
% 0.45/0.64  (step @p67 :rule cong :premises (@p66 @p65) :args (@t61))
% 0.45/0.64  (step @p68 :rule cong :premises (@p67) :args (@t62))
% 0.45/0.64  (step @p69 :rule trans :premises (@p68 @p62))
% 0.45/0.64  (step @p70 :rule cong :premises (@p69) :args (@t63))
% 0.45/0.64  (step @p71 :rule eq_resolve :premises (@p41 @p70))
% 0.45/0.64  (step @p72 :rule skolemize :premises (@p71))
% 0.45/0.64  (step @p73 :rule bool-double-not-elim :args (@t74))
% 0.45/0.64  (step @p74 :rule refl :args (@t83))
% 0.45/0.64  (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((or @t83 (not @t78))))
% 0.45/0.64  (step @p76 :rule cnf_or_neg :args (@t83 2))
% 0.45/0.64  (step @p77 :rule eq_resolve :premises (@p76 @p75))
% 0.45/0.64  (step @p78 :rule reordering :premises (@p77) :args ((or @t74 @t83)))
% 0.45/0.64  (step @p79 :rule chain_m_resolution :premises (@p78 @p72) :args (@t74 @t84 @t85))
% 0.45/0.64  (step @p80 :rule bool-double-not-elim :args (@t79))
% 0.45/0.64  (step @p81 :rule nary_cong :premises (@p74 @p80) :args ((or @t83 (not @t80))))
% 0.45/0.64  (step @p82 :rule cnf_or_neg :args (@t83 1))
% 0.45/0.64  (step @p83 :rule eq_resolve :premises (@p82 @p81))
% 0.45/0.64  (step @p84 :rule reordering :premises (@p83) :args ((or @t79 @t83)))
% 0.45/0.64  (step @p85 :rule chain_m_resolution :premises (@p84 @p72) :args (@t79 @t84 @t85))
% 0.45/0.64  (step @p86 :rule bool-double-not-elim :args (@t81))
% 0.45/0.64  (step @p87 :rule nary_cong :premises (@p74 @p86) :args ((or @t83 (not @t82))))
% 0.45/0.64  (step @p88 :rule cnf_or_neg :args (@t83 0))
% 0.45/0.64  (step @p89 :rule eq_resolve :premises (@p88 @p87))
% 0.45/0.64  (step @p90 :rule reordering :premises (@p89) :args ((or @t81 @t83)))
% 0.45/0.64  (step @p91 :rule chain_m_resolution :premises (@p90 @p72) :args (@t81 @t84 @t85))
% 0.45/0.64  (step @p92 :rule cnf_or_pos :args (@t93))
% 0.45/0.64  (step @p93 :rule reordering :premises (@p92) :args ((or @t82 @t80 @t78 @t92 (not @t93))))
% 0.45/0.64  (step @p94 :rule chain_m_resolution :premises (@p93 @p91 @p85 @p79 @p55) :args (@t92 @t94 (@list @t81 @t79 @t74 @t93)))
% 0.45/0.64  (step @p95 :rule cnf_and_pos :args (@t92 0))
% 0.45/0.64  (step @p96 :rule reordering :premises (@p95) :args ((or @t91 @t95)))
% 0.45/0.64  (step @p97 :rule chain_m_resolution :premises (@p96 @p94) :args (@t91 @t96 @t97))
% 0.45/0.64  (step @p98 :rule aci_norm :args ((= (or @t67 (or @t64 @t44)) (or @t66 @t65 @t64 @t44))))
% 0.45/0.64  (step @p99 :rule bool-impl-elim :args (@t9 @t44))
% 0.45/0.64  (step @p100 :rule nary_cong :premises (@p48 @p99) :args ((or @t68 @t45)))
% 0.45/0.64  (step @p101 :rule trans :premises (@p100 @p98))
% 0.45/0.64  (step @p102 :rule bool-impl-elim :args (@t14 @t45))
% 0.45/0.64  (step @p103 :rule trans :premises (@p102 @p101))
% 0.45/0.64  (step @p104 :rule cong :premises (@p103) :args (@t46))
% 0.45/0.64  (step @p105 :rule eq_resolve :premises (@p38 @p104))
% 0.45/0.64  (step @p106 :rule instantiate :premises (@p105) :args (@t72))
% 0.45/0.64  (step @p107 :rule cnf_or_pos :args (@t102))
% 0.45/0.64  (step @p108 :rule reordering :premises (@p107) :args ((or @t82 @t80 @t78 @t101 (not @t102))))
% 0.45/0.64  (step @p109 :rule chain_m_resolution :premises (@p108 @p91 @p85 @p79 @p106) :args (@t101 @t94 (@list @t81 @t79 @t74 @t102)))
% 0.45/0.64  (step @p110 :rule cnf_and_pos :args (@t101 1))
% 0.45/0.64  (step @p111 :rule reordering :premises (@p110) :args ((or @t100 (not @t101))))
% 0.45/0.64  (step @p112 :rule chain_m_resolution :premises (@p111 @p109) :args (@t100 @t96 @t103))
% 0.45/0.64  (step @p113 :rule eq-symm :args (@t104 @t12))
% 0.45/0.64  (step @p114 :rule eq-symm :args (@t105 @t43))
% 0.45/0.64  (step @p115 :rule cong :premises (@p114) :args (@t106))
% 0.45/0.64  (step @p116 :rule refl :args (@t107))
% 0.45/0.64  (step @p117 :rule refl :args (@t108))
% 0.45/0.64  (step @p118 :rule refl :args (@t109))
% 0.45/0.64  (step @p119 :rule refl :args (@t64))
% 0.45/0.64  (step @p120 :rule refl :args (@t65))
% 0.45/0.64  (step @p121 :rule refl :args (@t66))
% 0.45/0.64  (step @p122 :rule nary_cong :premises (@p121 @p120 @p119 @p118 @p117 @p116 @p115 @p113) :args (@t111))
% 0.45/0.64  (step @p123 :rule aci_norm :args ((= @t113 @t111)))
% 0.45/0.64  (step @p124 :rule trans :premises (@p123 @p122))
% 0.45/0.64  (step @p125 :rule cong :premises (@p124) :args (@t115))
% 0.45/0.64  (step @p126 :rule quant-merge-prenex :args ((= (forall @t7 @t117) @t115)))
% 0.45/0.64  (step @p127 :rule alpha_equiv :args (@t118 (@list @t104) (@list @t2)))
% 0.45/0.64  (step @p128 :rule refl :args (@t64))
% 0.45/0.64  (step @p129 :rule refl :args (@t65))
% 0.45/0.64  (step @p130 :rule refl :args (@t66))
% 0.45/0.64  (step @p131 :rule nary_cong :premises (@p130 @p129 @p128 @p127) :args (@t119))
% 0.45/0.64  (step @p132 :rule quant-miniscope-or :args ((= @t117 @t119)))
% 0.45/0.64  (step @p133 :rule trans :premises (@p132 @p131))
% 0.45/0.64  (step @p134 :rule symm :premises (@p133))
% 0.45/0.64  (step @p135 :rule cong :premises (@p134) :args ((forall @t7 @t126)))
% 0.45/0.64  (step @p136 :rule trans :premises (@p135 @p126))
% 0.45/0.64  (step @p137 :rule trans :premises (@p136 @p125))
% 0.45/0.64  (step @p138 :rule aci_norm :args ((= (or @t67 @t127) @t126)))
% 0.45/0.64  (step @p139 :rule refl :args (@t127))
% 0.45/0.64  (step @p140 :rule nary_cong :premises (@p48 @p139) :args ((or @t68 @t127)))
% 0.45/0.64  (step @p141 :rule trans :premises (@p140 @p138))
% 0.45/0.64  (step @p142 :rule bool-impl-elim :args (@t14 @t127))
% 0.45/0.64  (step @p143 :rule trans :premises (@p142 @p141))
% 0.45/0.64  (step @p144 :rule cong :premises (@p143) :args ((forall @t7 (=> @t14 @t127))))
% 0.45/0.64  (step @p145 :rule trans :premises (@p144 @p137))
% 0.45/0.64  (step @p146 :rule quant-miniscope-or :args ((= (forall @t21 @t128) @t127)))
% 0.45/0.64  (step @p147 :rule aci_norm :args ((= @t129 @t128)))
% 0.45/0.64  (step @p148 :rule cong :premises (@p147) :args ((forall @t21 @t129)))
% 0.45/0.64  (step @p149 :rule trans :premises (@p148 @p146))
% 0.45/0.64  (step @p150 :rule aci_norm :args ((= (or (or @t123 @t122) @t130) @t129)))
% 0.45/0.64  (step @p151 :rule aci_norm :args ((= (or @t131 @t50) @t130)))
% 0.45/0.64  (step @p152 :rule refl :args (@t50))
% 0.45/0.64  (step @p153 :rule aci_norm :args ((= (or @t64 (or @t121 @t120)) @t131)))
% 0.45/0.64  (step @p154 :rule bool-and-de-morgan :args (@t52 @t51 true))
% 0.45/0.64  (step @p155 :rule nary_cong :premises (@p128 @p154) :args ((or @t64 (not (and @t52 @t51)))))
% 0.45/0.64  (step @p156 :rule bool-and-de-morgan :args (@t9 @t52 (and @t51)))
% 0.45/0.64  (step @p157 :rule trans :premises (@p156 @p155))
% 0.45/0.64  (step @p158 :rule trans :premises (@p157 @p153))
% 0.45/0.64  (step @p159 :rule nary_cong :premises (@p158 @p152) :args ((or (not @t53) @t50)))
% 0.45/0.64  (step @p160 :rule trans :premises (@p159 @p151))
% 0.45/0.64  (step @p161 :rule bool-impl-elim :args (@t53 @t50))
% 0.45/0.64  (step @p162 :rule trans :premises (@p161 @p160))
% 0.45/0.64  (step @p163 :rule bool-and-de-morgan :args (@t18 @t26 true))
% 0.45/0.64  (step @p164 :rule nary_cong :premises (@p163 @p162) :args ((or (not @t55) @t54)))
% 0.45/0.64  (step @p165 :rule trans :premises (@p164 @p150))
% 0.45/0.64  (step @p166 :rule bool-impl-elim :args (@t55 @t54))
% 0.45/0.64  (step @p167 :rule trans :premises (@p166 @p165))
% 0.45/0.64  (step @p168 :rule cong :premises (@p167) :args (@t56))
% 0.45/0.64  (step @p169 :rule trans :premises (@p168 @p149))
% 0.45/0.64  (step @p170 :rule cong :premises (@p66 @p169) :args (@t57))
% 0.45/0.64  (step @p171 :rule cong :premises (@p170) :args (@t58))
% 0.45/0.64  (step @p172 :rule trans :premises (@p171 @p145))
% 0.45/0.64  (step @p173 :rule eq_resolve :premises (@p40 @p172))
% 0.45/0.64  (step @p174 :rule eq-symm :args (@t76 @t71))
% 0.45/0.64  (step @p175 :rule eq-symm :args (@t132 @t99))
% 0.45/0.64  (step @p176 :rule cong :premises (@p175) :args (@t133))
% 0.45/0.64  (step @p177 :rule eq-symm :args (@t86 @t87))
% 0.45/0.64  (step @p178 :rule cong :premises (@p177) :args (@t134))
% 0.45/0.64  (step @p179 :rule refl :args (@t80))
% 0.45/0.64  (step @p180 :rule refl :args (@t82))
% 0.45/0.64  (step @p181 :rule refl :args (@t136))
% 0.45/0.64  (step @p182 :rule refl :args (@t138))
% 0.45/0.64  (step @p183 :rule refl :args (@t140))
% 0.45/0.64  (step @p184 :rule nary_cong :premises (@p183 @p182 @p181 @p180 @p179 @p178 @p176 @p174) :args (@t141))
% 0.45/0.64  (step @p185 :rule refl :args (@t142))
% 0.45/0.64  (step @p186 :rule cong :premises (@p185 @p184) :args ((=> @t142 @t141)))
% 0.45/0.64  (assume-push @p264 @t142)
% 0.45/0.64  (step @p188 :rule instantiate :premises (@p173) :args ((@list @t75 @t71)))
% 0.45/0.64  (step-pop @p265 :rule scope :premises (@p188))
% 0.45/0.64  (step @p189 :rule process_scope :premises (@p265) :args (@t141))
% 0.45/0.64  (step @p191 :rule eq_resolve :premises (@p189 @p186))
% 0.45/0.64  (step @p192 :rule implies_elim :premises (@p191))
% 0.45/0.64  (step @p193 :rule chain_m_resolution :premises (@p192 @p173) :args (@t146 @t96 (@list @t142)))
% 0.45/0.64  (step @p194 :rule cnf_and_pos :args (@t92 1))
% 0.45/0.64  (step @p195 :rule reordering :premises (@p194) :args ((or @t88 @t95)))
% 0.45/0.64  (step @p196 :rule chain_m_resolution :premises (@p195 @p94) :args (@t88 @t96 @t97))
% 0.45/0.64  (step @p197 :rule aci_norm :args ((= (or @t67 (or @t64 @t47)) (or @t66 @t65 @t64 @t47))))
% 0.45/0.64  (step @p198 :rule bool-impl-elim :args (@t9 @t47))
% 0.45/0.64  (step @p199 :rule nary_cong :premises (@p48 @p198) :args ((or @t68 @t48)))
% 0.45/0.64  (step @p200 :rule trans :premises (@p199 @p197))
% 0.45/0.64  (step @p201 :rule bool-impl-elim :args (@t14 @t48))
% 0.45/0.64  (step @p202 :rule trans :premises (@p201 @p200))
% 0.45/0.64  (step @p203 :rule cong :premises (@p202) :args (@t49))
% 0.45/0.64  (step @p204 :rule eq_resolve :premises (@p39 @p203))
% 0.45/0.64  (step @p205 :rule instantiate :premises (@p204) :args (@t72))
% 0.45/0.64  (step @p206 :rule cnf_or_pos :args (@t147))
% 0.45/0.64  (step @p207 :rule reordering :premises (@p206) :args ((or @t82 @t80 @t78 @t135 (not @t147))))
% 0.45/0.64  (step @p208 :rule chain_m_resolution :premises (@p207 @p91 @p85 @p79 @p205) :args (@t135 @t94 (@list @t81 @t79 @t74 @t147)))
% 0.45/0.64  (step @p209 :rule aci_norm :args ((= (or @t67 @t13) (or @t66 @t65 @t13))))
% 0.45/0.64  (step @p210 :rule refl :args (@t13))
% 0.45/0.64  (step @p211 :rule nary_cong :premises (@p48 @p210) :args ((or @t68 @t13)))
% 0.45/0.64  (step @p212 :rule trans :premises (@p211 @p209))
% 0.45/0.64  (step @p213 :rule bool-impl-elim :args (@t14 @t13))
% 0.45/0.64  (step @p214 :rule trans :premises (@p213 @p212))
% 0.45/0.64  (step @p215 :rule cong :premises (@p214) :args (@t15))
% 0.45/0.64  (step @p216 :rule eq_resolve :premises (@p5 @p215))
% 0.45/0.64  (step @p217 :rule instantiate :premises (@p216) :args (@t72))
% 0.45/0.64  (step @p218 :rule cnf_or_pos :args (@t149))
% 0.45/0.64  (step @p219 :rule reordering :premises (@p218) :args ((or @t82 @t80 @t148 (not @t149))))
% 0.45/0.64  (step @p220 :rule chain_m_resolution :premises (@p219 @p91 @p85 @p217) :args (@t148 (@list false false false) (@list @t81 @t79 @t149)))
% 0.45/0.64  (step @p221 :rule cnf_and_pos :args (@t148 1))
% 0.45/0.64  (step @p222 :rule reordering :premises (@p221) :args ((or @t137 @t150)))
% 0.45/0.64  (step @p223 :rule chain_m_resolution :premises (@p222 @p220) :args (@t137 @t96 @t151))
% 0.45/0.64  (step @p224 :rule cnf_and_pos :args (@t148 0))
% 0.45/0.64  (step @p225 :rule reordering :premises (@p224) :args ((or @t139 @t150)))
% 0.45/0.64  (step @p226 :rule chain_m_resolution :premises (@p225 @p220) :args (@t139 @t96 @t151))
% 0.45/0.64  (step @p227 :rule cnf_or_neg :args (@t83 3))
% 0.45/0.64  (step @p228 :rule chain_m_resolution :premises (@p227 @p72) :args ((not @t77) @t84 @t85))
% 0.45/0.64  (step @p229 :rule cnf_or_pos :args (@t146))
% 0.45/0.64  (step @p230 :rule reordering :premises (@p229) :args ((or @t82 @t80 @t77 @t140 @t138 @t136 @t145 @t144 (not @t146))))
% 0.45/0.64  (step @p231 :rule chain_m_resolution :premises (@p230 @p91 @p85 @p228 @p226 @p223 @p208 @p196 @p193) :args (@t144 (@list false false true false false false false false) (@list @t81 @t79 @t77 @t139 @t137 @t135 @t88 @t146)))
% 0.45/0.64  (step @p232 :rule bool-double-not-elim :args (@t143))
% 0.45/0.64  (step @p233 :rule refl :args (@t152))
% 0.45/0.64  (step @p234 :rule refl :args (@t153))
% 0.45/0.64  (step @p235 :rule nary_cong :premises (@p234 @p233 @p232) :args ((or @t153 @t152 (not @t144))))
% 0.45/0.64  (assume-push @p266 @t144)
% 0.45/0.64  (assume-push @p267 @t143)
% 0.45/0.64  (step @p238 :rule evaluate :args ((= true false)))
% 0.45/0.64  (step @p239 :rule false_intro :premises (@p231))
% 0.45/0.64  (step @p240 :rule cong :premises (@p97) :args (@t98))
% 0.45/0.64  (step @p241 :rule chain_m_resolution :premises (@p111 @p109) :args (@t100 @t96 @t103))
% 0.45/0.64  (step @p242 :rule trans :premises (@p241 @p240))
% 0.45/0.64  (step @p243 :rule true_intro :premises (@p242))
% 0.45/0.64  (step @p244 :rule symm :premises (@p243))
% 0.45/0.64  (step @p245 :rule trans :premises (@p244 @p239))
% 0.45/0.64  (step @p246 false :rule eq_resolve :premises (@p245 @p238))
% 0.45/0.64  (step-pop @p268 :rule scope :premises (@p246))
% 0.45/0.64  (step-pop @p269 :rule scope :premises (@p268))
% 0.45/0.64  (step @p247 :rule process_scope :premises (@p269) :args (false))
% 0.45/0.64  (assume-push @p270 @t91)
% 0.45/0.64  (assume-push @p271 @t100)
% 0.45/0.64  (assume-push @p272 @t144)
% 0.45/0.64  (step @p240 :rule cong :premises (@p97) :args (@t98))
% 0.45/0.64  (step @p253 :rule trans :premises (@p112 @p240))
% 0.45/0.64  (step @p254 :rule and_intro :premises (@p231 @p253))
% 0.45/0.64  (step-pop @p273 :rule scope :premises (@p254))
% 0.45/0.64  (step-pop @p274 :rule scope :premises (@p273))
% 0.45/0.64  (step-pop @p275 :rule scope :premises (@p274))
% 0.45/0.64  (step @p255 :rule process_scope :premises (@p275) :args (@t154))
% 0.45/0.64  (step @p259 :rule implies_elim :premises (@p255))
% 0.45/0.64  (step @p260 :rule resolution :premises (@p259 @p247) :args (true @t154))
% 0.45/0.64  (step @p261 :rule not_and :premises (@p260))
% 0.45/0.64  (step @p262 :rule eq_resolve :premises (@p261 @p235))
% 0.45/0.64  (step @p263 false :rule chain_m_resolution :premises (@p262 @p231 @p112 @p97) :args (false (@list true false false) (@list @t143 @t100 @t91)))
% 0.45/0.64  )
% 0.45/0.64  % SZS output end Proof
% 0.45/0.64  % cvc5 exiting
%------------------------------------------------------------------------------