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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SEU422+1 : TPTP v9.2.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 08:51:43 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  : SEU422+1 : TPTP v9.2.1. Released v3.4.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.34  % Computer : n007.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 17:18:41 EDT 2026
% 0.18/0.35  % CPUTime  : 
% 0.31/0.50  %----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 $$unsorted 0)
% 0.45/0.64  (declare-const tptp.k1_xboole_0 $$unsorted)
% 0.45/0.64  (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool))
% 0.45/0.64  (declare-const tptp.k1_tarski (-> $$unsorted $$unsorted))
% 0.45/0.64  (declare-const tptp.v1_relat_1 (-> $$unsorted Bool))
% 0.45/0.64  (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool))
% 0.45/0.64  (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool))
% 0.45/0.64  (declare-const tptp.v3_relat_1 (-> $$unsorted Bool))
% 0.45/0.64  (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool))
% 0.45/0.64  (declare-const tptp.a_2_0_relset_2 (-> $$unsorted $$unsorted $$unsorted))
% 0.45/0.64  (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted))
% 0.45/0.64  (define @t1 () (@var "A" $$unsorted))
% 0.45/0.64  (define @t2 () (tptp.k1_zfmisc_1 @t1))
% 0.45/0.64  (define @t3 () (tptp.k1_zfmisc_1 @t2))
% 0.45/0.64  (define @t4 () (@var "B" $$unsorted))
% 0.45/0.64  (define @t5 () (tptp.m1_subset_1 (tptp.a_2_0_relset_2 @t1 @t4) @t3))
% 0.45/0.64  (define @t6 () (tptp.m1_subset_1 @t4 @t2))
% 0.45/0.64  (define @t7 () (@list @t4))
% 0.45/0.64  (define @t8 () (forall @t7 (=> @t6 @t5)))
% 0.45/0.64  (define @t9 () (tptp.v1_xboole_0 @t1))
% 0.45/0.64  (define @t10 () (not @t9))
% 0.45/0.64  (define @t11 () (=> @t10 @t8))
% 0.45/0.64  (define @t12 () (@list @t1))
% 0.45/0.64  (define @t13 () (forall @t12 @t11))
% 0.45/0.64  (define @t14 () (not @t13))
% 0.45/0.64  (define @t15 () (tptp.r2_hidden @t1 @t4))
% 0.45/0.64  (define @t16 () (@list @t1 @t4))
% 0.45/0.64  (define @t17 () (tptp.v1_relat_1 @t1))
% 0.45/0.64  (define @t18 () (@var "C" $$unsorted))
% 0.45/0.64  (define @t19 () (tptp.r2_hidden @t18 @t4))
% 0.45/0.64  (define @t20 () (tptp.r2_hidden @t18 @t1))
% 0.45/0.64  (define @t21 () (@list @t18))
% 0.45/0.64  (define @t22 () (forall @t21 (=> @t20 @t19)))
% 0.45/0.64  (define @t23 () (tptp.r1_tarski @t1 @t4))
% 0.45/0.64  (define @t24 () (= @t23 @t22))
% 0.45/0.64  (define @t25 () (forall @t16 @t24))
% 0.45/0.64  (define @t26 () (tptp.v1_relat_1 tptp.k1_xboole_0))
% 0.45/0.64  (define @t27 () (tptp.v1_xboole_0 tptp.k1_xboole_0))
% 0.45/0.64  (define @t28 () (tptp.k1_tarski @t1))
% 0.45/0.64  (define @t29 () (@var "D" $$unsorted))
% 0.45/0.64  (define @t30 () (tptp.r2_hidden @t29 @t18))
% 0.45/0.64  (define @t31 () (tptp.k1_tarski @t29))
% 0.45/0.64  (define @t32 () (= @t1 @t31))
% 0.45/0.64  (define @t33 () (tptp.m1_subset_1 @t29 @t4))
% 0.45/0.64  (define @t34 () (and @t33 @t32 @t30))
% 0.45/0.64  (define @t35 () (@list @t29))
% 0.45/0.64  (define @t36 () (exists @t35 @t34))
% 0.45/0.64  (define @t37 () (tptp.r2_hidden @t1 (tptp.a_2_0_relset_2 @t4 @t18)))
% 0.45/0.64  (define @t38 () (= @t37 @t36))
% 0.45/0.64  (define @t39 () (tptp.k1_zfmisc_1 @t4))
% 0.45/0.64  (define @t40 () (tptp.m1_subset_1 @t18 @t39))
% 0.45/0.64  (define @t41 () (tptp.v1_xboole_0 @t4))
% 0.45/0.64  (define @t42 () (not @t41))
% 0.45/0.64  (define @t43 () (and @t42 @t40))
% 0.45/0.64  (define @t44 () (=> @t43 @t38))
% 0.45/0.64  (define @t45 () (@list @t1 @t4 @t18))
% 0.45/0.64  (define @t46 () (forall @t45 @t44))
% 0.45/0.64  (define @t47 () (tptp.m1_subset_1 @t1 @t4))
% 0.45/0.64  (define @t48 () (or @t41 @t15))
% 0.45/0.64  (define @t49 () (forall @t16 (=> @t47 @t48)))
% 0.45/0.64  (define @t50 () (= @t1 @t4))
% 0.45/0.64  (define @t51 () (tptp.r1_tarski @t28 @t4))
% 0.45/0.64  (define @t52 () (forall @t16 (= @t51 @t15)))
% 0.45/0.64  (define @t53 () (tptp.m1_subset_1 @t1 @t39))
% 0.45/0.64  (define @t54 () (forall @t16 (= @t53 @t23)))
% 0.45/0.64  (define @t55 () (tptp.m1_subset_1 @t4 (tptp.k1_zfmisc_1 @t18)))
% 0.45/0.64  (define @t56 () (@var "BOUND_VARIABLE_7549" $$unsorted))
% 0.45/0.64  (define @t57 () (tptp.m1_subset_1 (tptp.a_2_0_relset_2 @t1 @t56) @t3))
% 0.45/0.64  (define @t58 () (not (tptp.m1_subset_1 @t56 @t2)))
% 0.45/0.64  (define @t59 () (or @t9 @t58 @t57))
% 0.45/0.64  (define @t60 () (@list @t1 @t56))
% 0.45/0.64  (define @t61 () (forall @t60 @t59))
% 0.45/0.64  (define @t62 () (@quantifiers_skolemize @t61 0))
% 0.45/0.64  (define @t63 () (@quantifiers_skolemize @t61 1))
% 0.45/0.64  (define @t64 () (not (tptp.r2_hidden @t29 @t63)))
% 0.45/0.64  (define @t65 () (tptp.k1_zfmisc_1 @t62))
% 0.45/0.64  (define @t66 () (tptp.a_2_0_relset_2 @t62 @t63))
% 0.45/0.64  (define @t67 () (forall @t21 (or (not (tptp.r2_hidden @t18 @t66)) (tptp.r2_hidden @t18 @t65))))
% 0.45/0.64  (define @t68 () (@quantifiers_skolemize @t67 0))
% 0.45/0.64  (define @t69 () (not (tptp.m1_subset_1 @t29 @t62)))
% 0.45/0.64  (define @t70 () (forall @t35 (or @t69 (not (= @t31 @t68)) @t64)))
% 0.45/0.64  (define @t71 () (@quantifiers_skolemize @t70 0))
% 0.45/0.64  (define @t72 () (@list @t71 @t62))
% 0.45/0.64  (define @t73 () (not @t47))
% 0.45/0.64  (define @t74 () (not @t30))
% 0.45/0.64  (define @t75 () (not @t32))
% 0.45/0.64  (define @t76 () (not @t33))
% 0.45/0.64  (define @t77 () (or @t76 @t75 @t74))
% 0.45/0.64  (define @t78 () (= @t37 (not (forall @t35 @t77))))
% 0.45/0.64  (define @t79 () (not @t40))
% 0.45/0.64  (define @t80 () (or @t41 @t79 @t78))
% 0.45/0.64  (define @t81 () (forall @t35 (not @t34)))
% 0.45/0.64  (define @t82 () (not @t81))
% 0.45/0.64  (define @t83 () (not (= @t68 @t31)))
% 0.45/0.64  (define @t84 () (or @t69 @t83 @t64))
% 0.45/0.64  (define @t85 () (forall @t35 @t84))
% 0.45/0.64  (define @t86 () (not @t85))
% 0.45/0.64  (define @t87 () (tptp.r2_hidden @t68 @t66))
% 0.45/0.64  (define @t88 () (= @t87 @t86))
% 0.45/0.64  (define @t89 () (tptp.m1_subset_1 @t63 @t65))
% 0.45/0.64  (define @t90 () (not @t89))
% 0.45/0.64  (define @t91 () (tptp.v1_xboole_0 @t62))
% 0.45/0.64  (define @t92 () (or @t91 @t90 @t88))
% 0.45/0.64  (define @t93 () (forall @t45 @t80))
% 0.45/0.64  (define @t94 () (not @t70))
% 0.45/0.64  (define @t95 () (= @t87 @t94))
% 0.45/0.64  (define @t96 () (or @t91 @t90 @t95))
% 0.45/0.64  (define @t97 () (@list false))
% 0.45/0.64  (define @t98 () (or @t58 @t57))
% 0.45/0.64  (define @t99 () (or @t9 @t98))
% 0.45/0.64  (define @t100 () (forall @t60 @t99))
% 0.45/0.64  (define @t101 () (@list @t56))
% 0.45/0.64  (define @t102 () (forall @t101 @t99))
% 0.45/0.64  (define @t103 () (forall @t101 @t98))
% 0.45/0.64  (define @t104 () (or @t9 @t103))
% 0.45/0.64  (define @t105 () (forall @t7 (or (not @t6) @t5)))
% 0.45/0.64  (define @t106 () (tptp.m1_subset_1 @t66 (tptp.k1_zfmisc_1 @t65)))
% 0.45/0.64  (define @t107 () (or @t91 @t90 @t106))
% 0.45/0.64  (define @t108 () (@list true))
% 0.45/0.64  (define @t109 () (@list @t107))
% 0.45/0.64  (define @t110 () (@list true false false))
% 0.45/0.64  (define @t111 () (@list @t66 @t65))
% 0.45/0.64  (define @t112 () (tptp.r1_tarski @t66 @t65))
% 0.45/0.64  (define @t113 () (forall @t16 (= @t23 @t53)))
% 0.45/0.64  (define @t114 () (= @t112 @t106))
% 0.45/0.64  (define @t115 () (= @t106 @t112))
% 0.45/0.64  (define @t116 () (@list @t113))
% 0.45/0.64  (define @t117 () (not @t112))
% 0.45/0.64  (define @t118 () (@list true false))
% 0.45/0.64  (define @t119 () (= @t112 @t67))
% 0.45/0.64  (define @t120 () (not @t67))
% 0.45/0.64  (define @t121 () (tptp.r2_hidden @t68 @t65))
% 0.45/0.64  (define @t122 () (not @t87))
% 0.45/0.64  (define @t123 () (or @t122 @t121))
% 0.45/0.64  (define @t124 () (@list @t123))
% 0.45/0.64  (define @t125 () (@list false false))
% 0.45/0.64  (define @t126 () (not (tptp.r2_hidden @t71 @t63)))
% 0.45/0.64  (define @t127 () (tptp.k1_tarski @t71))
% 0.45/0.64  (define @t128 () (= @t68 @t127))
% 0.45/0.64  (define @t129 () (not @t128))
% 0.45/0.64  (define @t130 () (tptp.m1_subset_1 @t71 @t62))
% 0.45/0.64  (define @t131 () (not @t130))
% 0.45/0.64  (define @t132 () (or @t131 @t129 @t126))
% 0.45/0.64  (define @t133 () (not @t132))
% 0.45/0.64  (define @t134 () (not (= @t127 @t68)))
% 0.45/0.64  (define @t135 () (or @t131 @t134 @t126))
% 0.45/0.64  (define @t136 () (not @t135))
% 0.45/0.64  (define @t137 () (@list @t132))
% 0.45/0.64  (define @t138 () (tptp.r2_hidden @t71 @t62))
% 0.45/0.64  (define @t139 () (or @t131 @t91 @t138))
% 0.45/0.64  (define @t140 () (tptp.r1_tarski @t127 @t62))
% 0.45/0.64  (define @t141 () (= @t138 @t140))
% 0.45/0.64  (define @t142 () (tptp.r1_tarski @t68 @t62))
% 0.45/0.64  (define @t143 () (tptp.m1_subset_1 @t68 @t65))
% 0.45/0.64  (define @t144 () (= @t142 @t143))
% 0.45/0.64  (define @t145 () (= @t143 @t142))
% 0.45/0.64  (define @t146 () (tptp.v1_xboole_0 @t65))
% 0.45/0.64  (define @t147 () (not @t143))
% 0.45/0.64  (define @t148 () (or @t147 @t146 @t121))
% 0.45/0.64  (define @t149 () (not @t142))
% 0.45/0.64  (assume @p1 @t14)
% 0.45/0.64  (assume @p2 (forall @t16 (=> @t15 (not (tptp.r2_hidden @t4 @t1)))))
% 0.45/0.64  (assume @p3 (forall @t12 (=> @t9 @t17)))
% 0.45/0.64  (assume @p4 @t25)
% 0.45/0.64  (assume @p5 true)
% 0.45/0.64  (assume @p6 (forall @t12 (exists @t7 (tptp.m1_subset_1 @t4 @t1))))
% 0.45/0.64  (assume @p7 (and @t27 @t26 (tptp.v3_relat_1 tptp.k1_xboole_0)))
% 0.45/0.64  (assume @p8 (forall @t12 (not (tptp.v1_xboole_0 @t2))))
% 0.45/0.64  (assume @p9 (forall @t12 (not (tptp.v1_xboole_0 @t28))))
% 0.45/0.64  (assume @p10 (and @t27 @t26))
% 0.45/0.64  (assume @p11 @t46)
% 0.45/0.64  (assume @p12 (exists @t12 (and @t9 @t17)))
% 0.45/0.64  (assume @p13 (forall @t12 (=> @t10 (exists @t7 (and @t6 @t42)))))
% 0.45/0.64  (assume @p14 (exists @t12 (and @t10 @t17)))
% 0.45/0.64  (assume @p15 (forall @t12 (exists @t7 (and @t6 @t41))))
% 0.45/0.64  (assume @p16 (exists @t12 (and @t17 (tptp.v3_relat_1 @t1))))
% 0.45/0.64  (assume @p17 (forall @t16 (tptp.r1_tarski @t1 @t1)))
% 0.45/0.64  (assume @p18 (forall @t16 (=> @t15 @t47)))
% 0.45/0.64  (assume @p19 @t49)
% 0.45/0.64  (assume @p20 (forall @t16 (=> (forall @t21 (= @t20 @t19)) @t50)))
% 0.45/0.64  (assume @p21 @t52)
% 0.45/0.64  (assume @p22 @t54)
% 0.45/0.64  (assume @p23 (forall @t45 (=> (and @t15 @t55) (tptp.m1_subset_1 @t1 @t18))))
% 0.45/0.64  (assume @p24 (forall @t45 (not (and @t15 @t55 (tptp.v1_xboole_0 @t18)))))
% 0.45/0.64  (assume @p25 (forall @t12 (=> @t9 (= @t1 tptp.k1_xboole_0))))
% 0.45/0.64  (assume @p26 (forall @t16 (not (and @t15 @t41))))
% 0.45/0.64  (assume @p27 (forall @t16 (not (and @t9 (not @t50) @t41))))
% 0.45/0.64  (step @p28 :rule evaluate :args ((= false true)))
% 0.45/0.64  (step @p29 :rule eq-symm :args (@t51 @t15))
% 0.45/0.64  (step @p30 :rule cong :premises (@p29) :args (@t52))
% 0.45/0.64  (step @p31 :rule eq_resolve :premises (@p21 @p30))
% 0.45/0.64  (step @p32 :rule instantiate :premises (@p31) :args (@t72))
% 0.45/0.64  (step @p33 :rule aci_norm :args ((= (or @t73 @t48) (or @t73 @t41 @t15))))
% 0.45/0.64  (step @p34 :rule bool-impl-elim :args (@t47 @t48))
% 0.45/0.64  (step @p35 :rule trans :premises (@p34 @p33))
% 0.45/0.64  (step @p36 :rule cong :premises (@p35) :args (@t49))
% 0.45/0.64  (step @p37 :rule eq_resolve :premises (@p19 @p36))
% 0.45/0.64  (step @p38 :rule instantiate :premises (@p37) :args (@t72))
% 0.45/0.64  (step @p39 :rule aci_norm :args ((= (or (or @t41 @t79) @t78) @t80)))
% 0.45/0.64  (step @p40 :rule refl :args (@t78))
% 0.45/0.64  (step @p41 :rule refl :args (@t79))
% 0.45/0.64  (step @p42 :rule bool-double-not-elim :args (@t41))
% 0.45/0.64  (step @p43 :rule nary_cong :premises (@p42 @p41) :args ((or (not @t42) @t79)))
% 0.45/0.64  (step @p44 :rule bool-and-de-morgan :args (@t42 @t40 true))
% 0.45/0.64  (step @p45 :rule trans :premises (@p44 @p43))
% 0.45/0.64  (step @p46 :rule nary_cong :premises (@p45 @p40) :args ((or (not @t43) @t78)))
% 0.45/0.64  (step @p47 :rule trans :premises (@p46 @p39))
% 0.45/0.64  (step @p48 :rule bool-impl-elim :args (@t43 @t78))
% 0.45/0.64  (step @p49 :rule trans :premises (@p48 @p47))
% 0.45/0.64  (step @p50 :rule cong :premises (@p49) :args ((forall @t45 (=> @t43 @t78))))
% 0.45/0.64  (step @p51 :rule aci_norm :args ((= (or @t76 (or @t75 @t74)) @t77)))
% 0.45/0.64  (step @p52 :rule bool-and-de-morgan :args (@t32 @t30 true))
% 0.45/0.64  (step @p53 :rule refl :args (@t76))
% 0.45/0.64  (step @p54 :rule nary_cong :premises (@p53 @p52) :args ((or @t76 (not (and @t32 @t30)))))
% 0.45/0.64  (step @p55 :rule bool-and-de-morgan :args (@t33 @t32 (and @t30)))
% 0.45/0.64  (step @p56 :rule trans :premises (@p55 @p54))
% 0.45/0.64  (step @p57 :rule trans :premises (@p56 @p51))
% 0.45/0.64  (step @p58 :rule cong :premises (@p57) :args (@t81))
% 0.45/0.64  (step @p59 :rule cong :premises (@p58) :args (@t82))
% 0.45/0.64  (step @p60 :rule exists-elim :args ((= @t36 @t82)))
% 0.45/0.64  (step @p61 :rule trans :premises (@p60 @p59))
% 0.45/0.64  (step @p62 :rule refl :args (@t37))
% 0.45/0.64  (step @p63 :rule cong :premises (@p62 @p61) :args (@t38))
% 0.45/0.64  (step @p64 :rule refl :args (@t43))
% 0.45/0.64  (step @p65 :rule cong :premises (@p64 @p63) :args (@t44))
% 0.45/0.64  (step @p66 :rule cong :premises (@p65) :args (@t46))
% 0.45/0.64  (step @p67 :rule trans :premises (@p66 @p50))
% 0.45/0.64  (step @p68 :rule eq_resolve :premises (@p11 @p67))
% 0.45/0.64  (step @p69 :rule refl :args (@t64))
% 0.45/0.64  (step @p70 :rule eq-symm :args (@t68 @t31))
% 0.45/0.64  (step @p71 :rule cong :premises (@p70) :args (@t83))
% 0.45/0.64  (step @p72 :rule refl :args (@t69))
% 0.45/0.64  (step @p73 :rule nary_cong :premises (@p72 @p71 @p69) :args (@t84))
% 0.45/0.64  (step @p74 :rule cong :premises (@p73) :args (@t85))
% 0.45/0.64  (step @p75 :rule cong :premises (@p74) :args (@t86))
% 0.45/0.64  (step @p76 :rule refl :args (@t87))
% 0.45/0.64  (step @p77 :rule cong :premises (@p76 @p75) :args (@t88))
% 0.45/0.64  (step @p78 :rule refl :args (@t90))
% 0.45/0.64  (step @p79 :rule refl :args (@t91))
% 0.45/0.64  (step @p80 :rule nary_cong :premises (@p79 @p78 @p77) :args (@t92))
% 0.45/0.64  (step @p81 :rule refl :args (@t93))
% 0.45/0.64  (step @p82 :rule cong :premises (@p81 @p80) :args ((=> @t93 @t92)))
% 0.45/0.64  (assume-push @p233 @t93)
% 0.45/0.64  (step @p84 :rule instantiate :premises (@p68) :args ((@list @t68 @t62 @t63)))
% 0.45/0.64  (step-pop @p234 :rule scope :premises (@p84))
% 0.45/0.64  (step @p85 :rule process_scope :premises (@p234) :args (@t92))
% 0.45/0.64  (step @p87 :rule eq_resolve :premises (@p85 @p82))
% 0.45/0.64  (step @p88 :rule implies_elim :premises (@p87))
% 0.45/0.64  (step @p89 :rule chain_m_resolution :premises (@p88 @p68) :args (@t96 @t97 (@list @t93)))
% 0.45/0.64  (step @p90 :rule aci_norm :args ((= @t99 @t59)))
% 0.45/0.64  (step @p91 :rule cong :premises (@p90) :args (@t100))
% 0.45/0.64  (step @p92 :rule quant-merge-prenex :args ((= (forall @t12 @t102) @t100)))
% 0.45/0.64  (step @p93 :rule alpha_equiv :args (@t103 (@list @t56) (@list @t4)))
% 0.45/0.64  (step @p94 :rule refl :args (@t9))
% 0.45/0.64  (step @p95 :rule nary_cong :premises (@p94 @p93) :args (@t104))
% 0.45/0.64  (step @p96 :rule quant-miniscope-or :args ((= @t102 @t104)))
% 0.45/0.64  (step @p97 :rule trans :premises (@p96 @p95))
% 0.45/0.64  (step @p98 :rule symm :premises (@p97))
% 0.45/0.64  (step @p99 :rule cong :premises (@p98) :args ((forall @t12 (or @t9 @t105))))
% 0.45/0.64  (step @p100 :rule trans :premises (@p99 @p92))
% 0.45/0.64  (step @p101 :rule trans :premises (@p100 @p91))
% 0.45/0.64  (step @p102 :rule refl :args (@t105))
% 0.45/0.64  (step @p103 :rule bool-double-not-elim :args (@t9))
% 0.45/0.64  (step @p104 :rule nary_cong :premises (@p103 @p102) :args ((or (not @t10) @t105)))
% 0.45/0.64  (step @p105 :rule bool-impl-elim :args (@t10 @t105))
% 0.45/0.64  (step @p106 :rule trans :premises (@p105 @p104))
% 0.45/0.64  (step @p107 :rule cong :premises (@p106) :args ((forall @t12 (=> @t10 @t105))))
% 0.45/0.64  (step @p108 :rule trans :premises (@p107 @p101))
% 0.45/0.64  (step @p109 :rule bool-impl-elim :args (@t6 @t5))
% 0.45/0.64  (step @p110 :rule cong :premises (@p109) :args (@t8))
% 0.45/0.64  (step @p111 :rule refl :args (@t10))
% 0.45/0.64  (step @p112 :rule cong :premises (@p111 @p110) :args (@t11))
% 0.45/0.64  (step @p113 :rule cong :premises (@p112) :args (@t13))
% 0.45/0.64  (step @p114 :rule trans :premises (@p113 @p108))
% 0.45/0.64  (step @p115 :rule cong :premises (@p114) :args (@t14))
% 0.45/0.64  (step @p116 :rule eq_resolve :premises (@p1 @p115))
% 0.45/0.64  (step @p117 :rule skolemize :premises (@p116))
% 0.45/0.64  (step @p118 :rule bool-double-not-elim :args (@t89))
% 0.45/0.64  (step @p119 :rule refl :args (@t107))
% 0.45/0.64  (step @p120 :rule nary_cong :premises (@p119 @p118) :args ((or @t107 (not @t90))))
% 0.45/0.64  (step @p121 :rule cnf_or_neg :args (@t107 1))
% 0.45/0.64  (step @p122 :rule eq_resolve :premises (@p121 @p120))
% 0.45/0.64  (step @p123 :rule reordering :premises (@p122) :args ((or @t89 @t107)))
% 0.45/0.64  (step @p124 :rule chain_m_resolution :premises (@p123 @p117) :args (@t89 @t108 @t109))
% 0.45/0.64  (step @p125 :rule cnf_or_neg :args (@t107 0))
% 0.45/0.64  (step @p126 :rule chain_m_resolution :premises (@p125 @p117) :args ((not @t91) @t108 @t109))
% 0.45/0.64  (step @p127 :rule cnf_or_pos :args (@t96))
% 0.45/0.64  (step @p128 :rule reordering :premises (@p127) :args ((or @t91 @t90 @t95 (not @t96))))
% 0.45/0.64  (step @p129 :rule chain_m_resolution :premises (@p128 @p126 @p124 @p89) :args (@t95 @t110 (@list @t91 @t89 @t96)))
% 0.45/0.64  (step @p130 :rule bool-impl-elim :args (@t20 @t19))
% 0.45/0.64  (step @p131 :rule cong :premises (@p130) :args (@t22))
% 0.45/0.64  (step @p132 :rule refl :args (@t23))
% 0.45/0.64  (step @p133 :rule cong :premises (@p132 @p131) :args (@t24))
% 0.45/0.64  (step @p134 :rule cong :premises (@p133) :args (@t25))
% 0.45/0.64  (step @p135 :rule eq_resolve :premises (@p4 @p134))
% 0.45/0.64  (step @p136 :rule instantiate :premises (@p135) :args (@t111))
% 0.45/0.64  (step @p137 :rule eq-symm :args (@t53 @t23))
% 0.45/0.64  (step @p138 :rule cong :premises (@p137) :args (@t54))
% 0.45/0.64  (step @p139 :rule eq_resolve :premises (@p22 @p138))
% 0.45/0.64  (step @p140 :rule eq-symm :args (@t112 @t106))
% 0.45/0.64  (step @p141 :rule refl :args (@t113))
% 0.45/0.64  (step @p142 :rule cong :premises (@p141 @p140) :args ((=> @t113 @t114)))
% 0.45/0.64  (assume-push @p235 @t113)
% 0.45/0.64  (step @p144 :rule instantiate :premises (@p139) :args (@t111))
% 0.45/0.64  (step-pop @p236 :rule scope :premises (@p144))
% 0.45/0.64  (step @p145 :rule process_scope :premises (@p236) :args (@t114))
% 0.45/0.64  (step @p147 :rule eq_resolve :premises (@p145 @p142))
% 0.45/0.64  (step @p148 :rule implies_elim :premises (@p147))
% 0.45/0.64  (step @p149 :rule chain_m_resolution :premises (@p148 @p139) :args (@t115 @t97 @t116))
% 0.45/0.64  (step @p150 :rule cnf_or_neg :args (@t107 2))
% 0.45/0.64  (step @p151 :rule chain_m_resolution :premises (@p150 @p117) :args ((not @t106) @t108 @t109))
% 0.45/0.64  (step @p152 :rule cnf_equiv_pos2 :args (@t115))
% 0.45/0.64  (step @p153 :rule reordering :premises (@p152) :args ((or @t106 @t117 (not @t115))))
% 0.45/0.64  (step @p154 :rule chain_m_resolution :premises (@p153 @p151 @p149) :args (@t117 @t118 (@list @t106 @t115)))
% 0.45/0.64  (step @p155 :rule cnf_equiv_pos2 :args (@t119))
% 0.45/0.64  (step @p156 :rule reordering :premises (@p155) :args ((or @t112 @t120 (not @t119))))
% 0.45/0.64  (step @p157 :rule chain_m_resolution :premises (@p156 @p154 @p136) :args (@t120 @t118 (@list @t112 @t119)))
% 0.45/0.64  (step @p158 :rule skolemize :premises (@p157))
% 0.45/0.64  (step @p159 :rule bool-double-not-elim :args (@t87))
% 0.45/0.64  (step @p160 :rule refl :args (@t123))
% 0.45/0.64  (step @p161 :rule nary_cong :premises (@p160 @p159) :args ((or @t123 (not @t122))))
% 0.45/0.64  (step @p162 :rule cnf_or_neg :args (@t123 0))
% 0.45/0.64  (step @p163 :rule eq_resolve :premises (@p162 @p161))
% 0.45/0.64  (step @p164 :rule reordering :premises (@p163) :args ((or @t87 @t123)))
% 0.45/0.64  (step @p165 :rule chain_m_resolution :premises (@p164 @p158) :args (@t87 @t108 @t124))
% 0.45/0.64  (step @p166 :rule cnf_equiv_pos1 :args (@t95))
% 0.45/0.64  (step @p167 :rule reordering :premises (@p166) :args ((or @t122 @t94 (not @t95))))
% 0.45/0.64  (step @p168 :rule chain_m_resolution :premises (@p167 @p165 @p129) :args (@t94 @t125 (@list @t87 @t95)))
% 0.45/0.64  (step @p169 :rule refl :args (@t133))
% 0.45/0.64  (step @p170 :rule bool-double-not-elim :args (@t70))
% 0.45/0.64  (step @p171 :rule nary_cong :premises (@p170 @p169) :args ((or (not @t94) @t133)))
% 0.45/0.64  (step @p172 :rule refl :args (@t126))
% 0.45/0.64  (step @p173 :rule eq-symm :args (@t127 @t68))
% 0.45/0.64  (step @p174 :rule cong :premises (@p173) :args (@t134))
% 0.45/0.64  (step @p175 :rule refl :args (@t131))
% 0.45/0.64  (step @p176 :rule nary_cong :premises (@p175 @p174 @p172) :args (@t135))
% 0.45/0.65  (step @p177 :rule cong :premises (@p176) :args (@t136))
% 0.45/0.65  (step @p178 :rule refl :args (@t94))
% 0.45/0.65  (step @p179 :rule cong :premises (@p178 @p177) :args ((=> @t94 @t136)))
% 0.45/0.65  (assume-push @p237 @t94)
% 0.45/0.65  (step @p181 :rule skolemize :premises (@p168))
% 0.45/0.65  (step-pop @p238 :rule scope :premises (@p181))
% 0.45/0.65  (step @p182 :rule process_scope :premises (@p238) :args (@t136))
% 0.45/0.65  (step @p184 :rule eq_resolve :premises (@p182 @p179))
% 0.45/0.65  (step @p185 :rule implies_elim :premises (@p184))
% 0.45/0.65  (step @p186 :rule eq_resolve :premises (@p185 @p171))
% 0.45/0.65  (step @p187 :rule chain_m_resolution :premises (@p186 @p168) :args (@t133 @t108 (@list @t70)))
% 0.45/0.65  (step @p188 :rule bool-double-not-elim :args (@t130))
% 0.45/0.65  (step @p189 :rule refl :args (@t132))
% 0.45/0.65  (step @p190 :rule nary_cong :premises (@p189 @p188) :args ((or @t132 (not @t131))))
% 0.45/0.65  (step @p191 :rule cnf_or_neg :args (@t132 0))
% 0.45/0.65  (step @p192 :rule eq_resolve :premises (@p191 @p190))
% 0.45/0.65  (step @p193 :rule reordering :premises (@p192) :args ((or @t130 @t132)))
% 0.45/0.65  (step @p194 :rule chain_m_resolution :premises (@p193 @p187) :args (@t130 @t108 @t137))
% 0.45/0.65  (step @p195 :rule cnf_or_pos :args (@t139))
% 0.45/0.65  (step @p196 :rule reordering :premises (@p195) :args ((or @t91 @t131 @t138 (not @t139))))
% 0.45/0.65  (step @p197 :rule chain_m_resolution :premises (@p196 @p126 @p194 @p38) :args (@t138 @t110 (@list @t91 @t130 @t139)))
% 0.45/0.65  (step @p198 :rule cnf_equiv_pos1 :args (@t141))
% 0.45/0.65  (step @p199 :rule reordering :premises (@p198) :args ((or (not @t138) @t140 (not @t141))))
% 0.45/0.65  (step @p200 :rule chain_m_resolution :premises (@p199 @p197 @p32) :args (@t140 @t125 (@list @t138 @t141)))
% 0.45/0.65  (step @p201 :rule true_intro :premises (@p200))
% 0.45/0.65  (step @p202 :rule refl :args (@t62))
% 0.45/0.65  (step @p203 :rule bool-double-not-elim :args (@t128))
% 0.45/0.65  (step @p204 :rule nary_cong :premises (@p189 @p203) :args ((or @t132 (not @t129))))
% 0.45/0.65  (step @p205 :rule cnf_or_neg :args (@t132 1))
% 0.45/0.65  (step @p206 :rule eq_resolve :premises (@p205 @p204))
% 0.45/0.65  (step @p207 :rule reordering :premises (@p206) :args ((or @t128 @t132)))
% 0.45/0.65  (step @p208 :rule chain_m_resolution :premises (@p207 @p187) :args (@t128 @t108 @t137))
% 0.45/0.65  (step @p209 :rule cong :premises (@p208 @p202) :args (@t142))
% 0.45/0.65  (step @p210 :rule eq-symm :args (@t142 @t143))
% 0.45/0.65  (step @p211 :rule cong :premises (@p141 @p210) :args ((=> @t113 @t144)))
% 0.45/0.65  (assume-push @p239 @t113)
% 0.45/0.65  (step @p213 :rule instantiate :premises (@p139) :args ((@list @t68 @t62)))
% 0.45/0.65  (step-pop @p240 :rule scope :premises (@p213))
% 0.45/0.65  (step @p214 :rule process_scope :premises (@p240) :args (@t144))
% 0.45/0.65  (step @p216 :rule eq_resolve :premises (@p214 @p211))
% 0.45/0.65  (step @p217 :rule implies_elim :premises (@p216))
% 0.45/0.65  (step @p218 :rule chain_m_resolution :premises (@p217 @p139) :args (@t145 @t97 @t116))
% 0.45/0.65  (step @p219 :rule instantiate :premises (@p37) :args ((@list @t68 @t65)))
% 0.45/0.65  (step @p220 :rule cnf_or_neg :args (@t123 1))
% 0.45/0.65  (step @p221 :rule chain_m_resolution :premises (@p220 @p158) :args ((not @t121) @t108 @t124))
% 0.45/0.65  (step @p222 :rule instantiate :premises (@p8) :args ((@list @t62)))
% 0.45/0.65  (step @p223 :rule cnf_or_pos :args (@t148))
% 0.45/0.65  (step @p224 :rule reordering :premises (@p223) :args ((or @t146 @t121 @t147 (not @t148))))
% 0.45/0.65  (step @p225 :rule chain_m_resolution :premises (@p224 @p222 @p221 @p219) :args (@t147 (@list true true false) (@list @t146 @t121 @t148)))
% 0.45/0.65  (step @p226 :rule cnf_equiv_pos2 :args (@t145))
% 0.45/0.65  (step @p227 :rule reordering :premises (@p226) :args ((or @t143 @t149 (not @t145))))
% 0.45/0.65  (step @p228 :rule chain_m_resolution :premises (@p227 @p225 @p218) :args (@t149 @t118 (@list @t143 @t145)))
% 0.45/0.65  (step @p229 :rule false_intro :premises (@p228))
% 0.45/0.65  (step @p230 :rule symm :premises (@p229))
% 0.45/0.65  (step @p231 :rule trans :premises (@p230 @p209 @p201))
% 0.45/0.65  (step @p232 false :rule eq_resolve :premises (@p231 @p28))
% 0.45/0.65  )
% 0.45/0.65  % SZS output end Proof
% 0.45/0.65  % cvc5 exiting
%------------------------------------------------------------------------------