↑ Up

cvc5---1.3.4.THM-Prf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SEU269+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 : n001.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 08:51:11 AM UTC 2026

% Result   : Theorem 0.35s 0.74s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU269+1 : TPTP v9.2.1. Released v3.3.0.
% 0.12/0.14  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.35  % Computer : n001.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit : 300
% 0.17/0.35  % WCLimit  : 300
% 0.17/0.35  % DateTime : Tue Jun  2 16:50:05 EDT 2026
% 0.17/0.35  % CPUTime  : 
% 0.27/0.51  %----Proving TF0_NAR, FOF, or CNF
% 0.35/0.74  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.35/0.74  % SZS status Theorem
% 0.35/0.74  % SZS output start Proof
% 0.35/0.74  (
% 0.35/0.74  (declare-sort $$unsorted 0)
% 0.35/0.74  (declare-const tptp.powerset (-> $$unsorted $$unsorted))
% 0.35/0.74  (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool))
% 0.35/0.74  (declare-const tptp.empty_set $$unsorted)
% 0.35/0.74  (declare-const tptp.inclusion_relation (-> $$unsorted $$unsorted))
% 0.35/0.74  (declare-const tptp.element (-> $$unsorted $$unsorted Bool))
% 0.35/0.74  (declare-const tptp.relation_dom (-> $$unsorted $$unsorted))
% 0.35/0.74  (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted))
% 0.35/0.74  (declare-const tptp.relation_rng (-> $$unsorted $$unsorted))
% 0.35/0.74  (declare-const tptp.subset (-> $$unsorted $$unsorted Bool))
% 0.35/0.74  (declare-const tptp.in (-> $$unsorted $$unsorted Bool))
% 0.35/0.74  (declare-const tptp.epsilon_transitive (-> $$unsorted Bool))
% 0.35/0.74  (declare-const tptp.transitive (-> $$unsorted Bool))
% 0.35/0.74  (declare-const tptp.empty (-> $$unsorted Bool))
% 0.35/0.74  (declare-const tptp.epsilon_connected (-> $$unsorted Bool))
% 0.35/0.74  (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted))
% 0.35/0.74  (declare-const tptp.ordinal (-> $$unsorted Bool))
% 0.35/0.74  (declare-const tptp.one_to_one (-> $$unsorted Bool))
% 0.35/0.74  (declare-const tptp.function (-> $$unsorted Bool))
% 0.35/0.74  (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted))
% 0.35/0.74  (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool))
% 0.35/0.74  (declare-const tptp.singleton (-> $$unsorted $$unsorted))
% 0.35/0.74  (declare-const tptp.relation (-> $$unsorted Bool))
% 0.35/0.74  (declare-const tptp.relation_field (-> $$unsorted $$unsorted))
% 0.35/0.74  (define @t1 () (@var "A" $$unsorted))
% 0.35/0.74  (define @t2 () (@var "B" $$unsorted))
% 0.35/0.74  (define @t3 () (tptp.in @t1 @t2))
% 0.35/0.74  (define @t4 () (@list @t1 @t2))
% 0.35/0.74  (define @t5 () (tptp.function @t1))
% 0.35/0.74  (define @t6 () (tptp.empty @t1))
% 0.35/0.74  (define @t7 () (@list @t1))
% 0.35/0.74  (define @t8 () (tptp.epsilon_connected @t1))
% 0.35/0.74  (define @t9 () (tptp.epsilon_transitive @t1))
% 0.35/0.74  (define @t10 () (and @t9 @t8))
% 0.35/0.74  (define @t11 () (tptp.ordinal @t1))
% 0.35/0.74  (define @t12 () (tptp.one_to_one @t1))
% 0.35/0.74  (define @t13 () (tptp.relation @t1))
% 0.35/0.74  (define @t14 () (and @t13 @t5 @t12))
% 0.35/0.74  (define @t15 () (and @t13 @t6 @t5))
% 0.35/0.74  (define @t16 () (and @t9 @t8 @t11))
% 0.35/0.74  (define @t17 () (tptp.unordered_pair @t1 @t2))
% 0.35/0.74  (define @t18 () (tptp.set_union2 @t2 @t1))
% 0.35/0.74  (define @t19 () (tptp.set_union2 @t1 @t2))
% 0.35/0.74  (define @t20 () (tptp.relation_field @t1))
% 0.35/0.74  (define @t21 () (= (tptp.transitive @t1) (tptp.is_transitive_in @t1 @t20)))
% 0.35/0.74  (define @t22 () (forall @t7 (=> @t13 @t21)))
% 0.35/0.74  (define @t23 () (@var "D" $$unsorted))
% 0.35/0.74  (define @t24 () (@var "C" $$unsorted))
% 0.35/0.74  (define @t25 () (tptp.subset @t24 @t23))
% 0.35/0.74  (define @t26 () (tptp.ordered_pair @t24 @t23))
% 0.35/0.74  (define @t27 () (= (tptp.in @t26 @t2) @t25))
% 0.35/0.74  (define @t28 () (tptp.in @t23 @t1))
% 0.35/0.74  (define @t29 () (tptp.in @t24 @t1))
% 0.35/0.74  (define @t30 () (and @t29 @t28))
% 0.35/0.74  (define @t31 () (@list @t24 @t23))
% 0.35/0.74  (define @t32 () (forall @t31 (=> @t30 @t27)))
% 0.35/0.74  (define @t33 () (tptp.relation_field @t2))
% 0.35/0.74  (define @t34 () (and (= @t33 @t1) @t32))
% 0.35/0.74  (define @t35 () (tptp.inclusion_relation @t1))
% 0.35/0.74  (define @t36 () (= @t2 @t35))
% 0.35/0.74  (define @t37 () (= @t36 @t34))
% 0.35/0.74  (define @t38 () (tptp.relation @t2))
% 0.35/0.74  (define @t39 () (=> @t38 @t37))
% 0.35/0.74  (define @t40 () (forall @t4 @t39))
% 0.35/0.74  (define @t41 () (tptp.ordered_pair @t1 @t2))
% 0.35/0.74  (define @t42 () (@var "E" $$unsorted))
% 0.35/0.74  (define @t43 () (tptp.ordered_pair @t24 @t42))
% 0.35/0.74  (define @t44 () (tptp.in @t43 @t1))
% 0.35/0.74  (define @t45 () (tptp.ordered_pair @t23 @t42))
% 0.35/0.74  (define @t46 () (tptp.in @t45 @t1))
% 0.35/0.74  (define @t47 () (tptp.in @t26 @t1))
% 0.35/0.74  (define @t48 () (tptp.in @t42 @t2))
% 0.35/0.74  (define @t49 () (tptp.in @t23 @t2))
% 0.35/0.74  (define @t50 () (tptp.in @t24 @t2))
% 0.35/0.74  (define @t51 () (and @t50 @t49 @t48 @t47 @t46))
% 0.35/0.74  (define @t52 () (@list @t24 @t23 @t42))
% 0.35/0.74  (define @t53 () (forall @t52 (=> @t51 @t44)))
% 0.35/0.74  (define @t54 () (tptp.is_transitive_in @t1 @t2))
% 0.35/0.74  (define @t55 () (= @t54 @t53))
% 0.35/0.74  (define @t56 () (@list @t2))
% 0.35/0.74  (define @t57 () (forall @t56 @t55))
% 0.35/0.74  (define @t58 () (=> @t13 @t57))
% 0.35/0.74  (define @t59 () (forall @t7 @t58))
% 0.35/0.74  (define @t60 () (tptp.empty tptp.empty_set))
% 0.35/0.74  (define @t61 () (not @t6))
% 0.35/0.74  (define @t62 () (tptp.element @t1 @t2))
% 0.35/0.74  (define @t63 () (tptp.subset @t1 @t24))
% 0.35/0.74  (define @t64 () (tptp.subset @t2 @t24))
% 0.35/0.74  (define @t65 () (tptp.subset @t1 @t2))
% 0.35/0.74  (define @t66 () (and @t65 @t64))
% 0.35/0.74  (define @t67 () (@list @t1 @t2 @t24))
% 0.35/0.74  (define @t68 () (forall @t67 (=> @t66 @t63)))
% 0.35/0.74  (define @t69 () (tptp.empty @t2))
% 0.35/0.74  (define @t70 () (forall @t7 (tptp.transitive @t35)))
% 0.35/0.74  (define @t71 () (tptp.element @t2 (tptp.powerset @t24)))
% 0.35/0.74  (define @t72 () (not @t46))
% 0.35/0.74  (define @t73 () (not @t47))
% 0.35/0.74  (define @t74 () (@var "BOUND_VARIABLE_7687" $$unsorted))
% 0.35/0.74  (define @t75 () (= (tptp.is_transitive_in @t1 @t74) (forall @t52 (or (not (tptp.in @t24 @t74)) (not (tptp.in @t23 @t74)) (not (tptp.in @t42 @t74)) @t73 @t72 @t44))))
% 0.35/0.74  (define @t76 () (not @t13))
% 0.35/0.74  (define @t77 () (or @t76 @t75))
% 0.35/0.74  (define @t78 () (@list @t74))
% 0.35/0.74  (define @t79 () (forall @t78 @t77))
% 0.35/0.74  (define @t80 () (forall @t78 @t75))
% 0.35/0.74  (define @t81 () (or @t76 @t80))
% 0.35/0.74  (define @t82 () (not @t48))
% 0.35/0.74  (define @t83 () (not @t49))
% 0.35/0.74  (define @t84 () (not @t50))
% 0.35/0.74  (define @t85 () (or @t84 @t83 @t82 @t73 @t72 @t44))
% 0.35/0.74  (define @t86 () (forall @t56 (= @t54 (forall @t52 @t85))))
% 0.35/0.74  (define @t87 () (or @t84 @t83 @t82 @t73 @t72))
% 0.35/0.74  (define @t88 () (@quantifiers_skolemize @t70 0))
% 0.35/0.74  (define @t89 () (tptp.inclusion_relation @t88))
% 0.35/0.74  (define @t90 () (tptp.relation_field @t89))
% 0.35/0.74  (define @t91 () (tptp.in @t26 @t89))
% 0.35/0.74  (define @t92 () (forall @t52 (or (not (tptp.in @t24 @t90)) (not (tptp.in @t23 @t90)) (not (tptp.in @t42 @t90)) (not @t91) (not (tptp.in @t45 @t89)) (tptp.in @t43 @t89))))
% 0.35/0.74  (define @t93 () (tptp.is_transitive_in @t89 @t90))
% 0.35/0.74  (define @t94 () (= @t93 @t92))
% 0.35/0.74  (define @t95 () (tptp.relation @t89))
% 0.35/0.74  (define @t96 () (not @t95))
% 0.35/0.74  (define @t97 () (or @t96 @t94))
% 0.35/0.74  (define @t98 () (@list false false))
% 0.35/0.74  (define @t99 () (tptp.transitive @t89))
% 0.35/0.74  (define @t100 () (= @t99 @t93))
% 0.35/0.74  (define @t101 () (or @t96 @t100))
% 0.35/0.74  (define @t102 () (not @t93))
% 0.35/0.74  (define @t103 () (@list true false))
% 0.35/0.74  (define @t104 () (not @t92))
% 0.35/0.74  (define @t105 () (@quantifiers_skolemize @t92 0))
% 0.35/0.74  (define @t106 () (tptp.in @t105 @t90))
% 0.35/0.74  (define @t107 () (@quantifiers_skolemize @t92 2))
% 0.35/0.74  (define @t108 () (tptp.in (tptp.ordered_pair @t105 @t107) @t89))
% 0.35/0.74  (define @t109 () (@quantifiers_skolemize @t92 1))
% 0.35/0.74  (define @t110 () (tptp.in (tptp.ordered_pair @t109 @t107) @t89))
% 0.35/0.74  (define @t111 () (not @t110))
% 0.35/0.74  (define @t112 () (tptp.in (tptp.ordered_pair @t105 @t109) @t89))
% 0.35/0.74  (define @t113 () (not @t112))
% 0.35/0.74  (define @t114 () (tptp.in @t107 @t90))
% 0.35/0.74  (define @t115 () (not @t114))
% 0.35/0.74  (define @t116 () (tptp.in @t109 @t90))
% 0.35/0.74  (define @t117 () (not @t116))
% 0.35/0.74  (define @t118 () (not @t106))
% 0.35/0.74  (define @t119 () (or @t118 @t117 @t115 @t113 @t111 @t108))
% 0.35/0.74  (define @t120 () (@list true))
% 0.35/0.74  (define @t121 () (@list @t119))
% 0.35/0.74  (define @t122 () (not @t28))
% 0.35/0.74  (define @t123 () (not @t29))
% 0.35/0.74  (define @t124 () (or @t123 @t122 @t27))
% 0.35/0.74  (define @t125 () (= @t36 (and (= @t1 @t33) (forall @t31 @t124))))
% 0.35/0.74  (define @t126 () (not (tptp.in @t23 @t88)))
% 0.35/0.74  (define @t127 () (not (tptp.in @t24 @t88)))
% 0.35/0.74  (define @t128 () (forall @t31 (or @t127 @t126 (= @t25 @t91))))
% 0.35/0.74  (define @t129 () (= @t88 @t90))
% 0.35/0.74  (define @t130 () (and @t129 @t128))
% 0.35/0.74  (define @t131 () (or @t127 @t126 (= @t91 @t25)))
% 0.35/0.74  (define @t132 () (forall @t31 @t131))
% 0.35/0.74  (define @t133 () (and @t129 @t132))
% 0.35/0.74  (define @t134 () (= (= @t89 @t89) @t133))
% 0.35/0.74  (define @t135 () (or @t96 @t134))
% 0.35/0.74  (define @t136 () (forall @t4 (or (not @t38) @t125)))
% 0.35/0.74  (define @t137 () (or @t96 @t130))
% 0.35/0.74  (define @t138 () (@list false))
% 0.35/0.74  (define @t139 () (not @t130))
% 0.35/0.74  (define @t140 () (@list @t130))
% 0.35/0.74  (define @t141 () (tptp.in @t105 @t88))
% 0.35/0.74  (define @t142 () (tptp.in @t107 @t88))
% 0.35/0.74  (define @t143 () (not @t64))
% 0.35/0.74  (define @t144 () (not @t65))
% 0.35/0.74  (define @t145 () (tptp.subset @t109 @t107))
% 0.35/0.74  (define @t146 () (not @t142))
% 0.35/0.74  (define @t147 () (tptp.in @t109 @t88))
% 0.35/0.74  (define @t148 () (not @t147))
% 0.35/0.74  (define @t149 () (or @t148 @t146 (= @t145 @t110)))
% 0.35/0.74  (define @t150 () (= @t110 @t145))
% 0.35/0.74  (define @t151 () (or @t148 @t146 @t150))
% 0.35/0.74  (define @t152 () (@list @t128))
% 0.35/0.74  (define @t153 () (@list false false false))
% 0.35/0.74  (define @t154 () (tptp.subset @t105 @t109))
% 0.35/0.74  (define @t155 () (not @t141))
% 0.35/0.74  (define @t156 () (or @t155 @t148 (= @t154 @t112)))
% 0.35/0.74  (define @t157 () (= @t112 @t154))
% 0.35/0.74  (define @t158 () (or @t155 @t148 @t157))
% 0.35/0.74  (define @t159 () (tptp.subset @t105 @t107))
% 0.35/0.74  (define @t160 () (not @t145))
% 0.35/0.74  (define @t161 () (not @t154))
% 0.35/0.74  (define @t162 () (or @t161 @t160 @t159))
% 0.35/0.74  (define @t163 () (= @t108 @t159))
% 0.35/0.74  (define @t164 () (not @t163))
% 0.35/0.74  (define @t165 () (or @t155 @t146 (= @t159 @t108)))
% 0.35/0.74  (define @t166 () (or @t155 @t146 @t163))
% 0.35/0.74  (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1)))))
% 0.35/0.74  (assume @p2 (forall @t7 (=> @t6 @t5)))
% 0.35/0.74  (assume @p3 (forall @t7 (=> @t11 @t10)))
% 0.35/0.74  (assume @p4 (forall @t7 (=> @t15 @t14)))
% 0.35/0.74  (assume @p5 (forall @t7 (=> @t10 @t11)))
% 0.35/0.74  (assume @p6 (forall @t7 (=> @t6 @t16)))
% 0.35/0.74  (assume @p7 (forall @t4 (= @t17 (tptp.unordered_pair @t2 @t1))))
% 0.35/0.74  (assume @p8 (forall @t4 (= @t19 @t18)))
% 0.35/0.74  (assume @p9 @t22)
% 0.35/0.74  (assume @p10 @t40)
% 0.35/0.74  (assume @p11 (forall @t4 (= @t41 (tptp.unordered_pair @t17 (tptp.singleton @t1)))))
% 0.35/0.74  (assume @p12 (forall @t7 (=> @t13 (= @t20 (tptp.set_union2 (tptp.relation_dom @t1) (tptp.relation_rng @t1))))))
% 0.35/0.74  (assume @p13 @t59)
% 0.35/0.74  (assume @p14 true)
% 0.35/0.74  (assume @p15 (forall @t7 (tptp.relation @t35)))
% 0.35/0.74  (assume @p16 (forall @t7 (exists @t56 (tptp.element @t2 @t1))))
% 0.35/0.74  (assume @p17 @t60)
% 0.35/0.74  (assume @p18 (forall @t4 (not (tptp.empty @t41))))
% 0.35/0.74  (assume @p19 (and (tptp.relation tptp.empty_set) (tptp.relation_empty_yielding tptp.empty_set) (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t60 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set)))
% 0.35/0.74  (assume @p20 (forall @t4 (=> @t61 (not (tptp.empty @t19)))))
% 0.35/0.74  (assume @p21 (forall @t4 (=> @t61 (not (tptp.empty @t18)))))
% 0.35/0.74  (assume @p22 (forall @t4 (= (tptp.set_union2 @t1 @t1) @t1)))
% 0.35/0.74  (assume @p23 (exists @t7 (and @t13 @t5)))
% 0.35/0.74  (assume @p24 (exists @t7 @t16))
% 0.35/0.74  (assume @p25 (exists @t7 @t6))
% 0.35/0.74  (assume @p26 (exists @t7 @t15))
% 0.35/0.74  (assume @p27 (exists @t7 (and @t13 @t5 @t12 @t6 @t9 @t8 @t11)))
% 0.35/0.74  (assume @p28 (exists @t7 @t61))
% 0.35/0.74  (assume @p29 (exists @t7 @t14))
% 0.35/0.74  (assume @p30 (exists @t7 (and @t61 @t9 @t8 @t11)))
% 0.35/0.74  (assume @p31 (exists @t7 (and @t13 (tptp.relation_empty_yielding @t1) @t5)))
% 0.35/0.74  (assume @p32 (forall @t4 (tptp.subset @t1 @t1)))
% 0.35/0.74  (assume @p33 (forall @t7 (= (tptp.set_union2 @t1 tptp.empty_set) @t1)))
% 0.35/0.74  (assume @p34 (forall @t4 (=> @t3 @t62)))
% 0.35/0.74  (assume @p35 @t68)
% 0.35/0.74  (assume @p36 (forall @t4 (=> @t62 (or @t69 @t3))))
% 0.35/0.74  (assume @p37 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) @t65)))
% 0.35/0.74  (assume @p38 (not @t70))
% 0.35/0.74  (assume @p39 (forall @t67 (=> (and @t3 @t71) (tptp.element @t1 @t24))))
% 0.35/0.74  (assume @p40 (forall @t67 (not (and @t3 @t71 (tptp.empty @t24)))))
% 0.35/0.74  (assume @p41 (forall @t7 (=> @t6 (= @t1 tptp.empty_set))))
% 0.35/0.74  (assume @p42 (forall @t4 (not (and @t3 @t69))))
% 0.35/0.74  (assume @p43 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t69))))
% 0.35/0.74  (step @p44 :rule quant-merge-prenex :args ((= (forall @t7 @t79) (forall (@list @t1 @t74) @t77))))
% 0.35/0.74  (step @p45 :rule alpha_equiv :args (@t80 (@list @t74) (@list @t2)))
% 0.35/0.74  (step @p46 :rule refl :args (@t76))
% 0.35/0.74  (step @p47 :rule nary_cong :premises (@p46 @p45) :args (@t81))
% 0.35/0.74  (step @p48 :rule quant-miniscope-or :args ((= @t79 @t81)))
% 0.35/0.74  (step @p49 :rule trans :premises (@p48 @p47))
% 0.35/0.74  (step @p50 :rule symm :premises (@p49))
% 0.35/0.74  (step @p51 :rule cong :premises (@p50) :args ((forall @t7 (or @t76 @t86))))
% 0.35/0.74  (step @p52 :rule trans :premises (@p51 @p44))
% 0.35/0.74  (step @p53 :rule bool-impl-elim :args (@t13 @t86))
% 0.35/0.74  (step @p54 :rule cong :premises (@p53) :args ((forall @t7 (=> @t13 @t86))))
% 0.35/0.74  (step @p55 :rule trans :premises (@p54 @p52))
% 0.35/0.74  (step @p56 :rule aci_norm :args ((= (or @t87 @t44) @t85)))
% 0.35/0.74  (step @p57 :rule refl :args (@t44))
% 0.35/0.74  (step @p58 :rule aci_norm :args ((= (or @t84 (or @t83 (or @t82 (or @t73 @t72)))) @t87)))
% 0.35/0.74  (step @p59 :rule bool-and-de-morgan :args (@t47 @t46 true))
% 0.35/0.74  (step @p60 :rule refl :args (@t82))
% 0.35/0.74  (step @p61 :rule nary_cong :premises (@p60 @p59) :args ((or @t82 (not (and @t47 @t46)))))
% 0.35/0.74  (step @p62 :rule bool-and-de-morgan :args (@t48 @t47 (and @t46)))
% 0.35/0.74  (step @p63 :rule trans :premises (@p62 @p61))
% 0.35/0.74  (step @p64 :rule refl :args (@t83))
% 0.35/0.74  (step @p65 :rule nary_cong :premises (@p64 @p63) :args ((or @t83 (not (and @t48 @t47 @t46)))))
% 0.35/0.74  (step @p66 :rule bool-and-de-morgan :args (@t49 @t48 (and @t47 @t46)))
% 0.35/0.74  (step @p67 :rule trans :premises (@p66 @p65))
% 0.35/0.74  (step @p68 :rule refl :args (@t84))
% 0.35/0.74  (step @p69 :rule nary_cong :premises (@p68 @p67) :args ((or @t84 (not (and @t49 @t48 @t47 @t46)))))
% 0.35/0.74  (step @p70 :rule bool-and-de-morgan :args (@t50 @t49 (and @t48 @t47 @t46)))
% 0.35/0.74  (step @p71 :rule trans :premises (@p70 @p69))
% 0.35/0.74  (step @p72 :rule trans :premises (@p71 @p58))
% 0.35/0.74  (step @p73 :rule nary_cong :premises (@p72 @p57) :args ((or (not @t51) @t44)))
% 0.35/0.74  (step @p74 :rule trans :premises (@p73 @p56))
% 0.35/0.74  (step @p75 :rule bool-impl-elim :args (@t51 @t44))
% 0.35/0.74  (step @p76 :rule trans :premises (@p75 @p74))
% 0.35/0.74  (step @p77 :rule cong :premises (@p76) :args (@t53))
% 0.35/0.74  (step @p78 :rule refl :args (@t54))
% 0.35/0.74  (step @p79 :rule cong :premises (@p78 @p77) :args (@t55))
% 0.35/0.74  (step @p80 :rule cong :premises (@p79) :args (@t57))
% 0.35/0.74  (step @p81 :rule refl :args (@t13))
% 0.35/0.74  (step @p82 :rule cong :premises (@p81 @p80) :args (@t58))
% 0.35/0.74  (step @p83 :rule cong :premises (@p82) :args (@t59))
% 0.35/0.74  (step @p84 :rule trans :premises (@p83 @p55))
% 0.35/0.74  (step @p85 :rule eq_resolve :premises (@p13 @p84))
% 0.35/0.74  (step @p86 :rule instantiate :premises (@p85) :args ((@list @t89 @t90)))
% 0.35/0.74  (step @p87 :rule instantiate :premises (@p15) :args ((@list @t88)))
% 0.35/0.74  (step @p88 :rule cnf_or_pos :args (@t97))
% 0.35/0.74  (step @p89 :rule reordering :premises (@p88) :args ((or @t96 @t94 (not @t97))))
% 0.35/0.74  (step @p90 :rule chain_m_resolution :premises (@p89 @p87 @p86) :args (@t94 @t98 (@list @t95 @t97)))
% 0.35/0.74  (step @p91 :rule bool-impl-elim :args (@t13 @t21))
% 0.35/0.74  (step @p92 :rule cong :premises (@p91) :args (@t22))
% 0.35/0.74  (step @p93 :rule eq_resolve :premises (@p9 @p92))
% 0.35/0.74  (step @p94 :rule instantiate :premises (@p93) :args ((@list @t89)))
% 0.35/0.74  (step @p95 :rule cnf_or_pos :args (@t101))
% 0.35/0.74  (step @p96 :rule reordering :premises (@p95) :args ((or @t96 @t100 (not @t101))))
% 0.35/0.74  (step @p97 :rule chain_m_resolution :premises (@p96 @p87 @p94) :args (@t100 @t98 (@list @t95 @t101)))
% 0.35/0.74  (step @p98 :rule skolemize :premises (@p38))
% 0.35/0.74  (step @p99 :rule cnf_equiv_pos2 :args (@t100))
% 0.35/0.74  (step @p100 :rule reordering :premises (@p99) :args ((or @t99 @t102 (not @t100))))
% 0.35/0.74  (step @p101 :rule chain_m_resolution :premises (@p100 @p98 @p97) :args (@t102 @t103 (@list @t99 @t100)))
% 0.35/0.74  (step @p102 :rule cnf_equiv_pos2 :args (@t94))
% 0.35/0.74  (step @p103 :rule reordering :premises (@p102) :args ((or @t93 @t104 (not @t94))))
% 0.35/0.74  (step @p104 :rule chain_m_resolution :premises (@p103 @p101 @p90) :args (@t104 @t103 (@list @t93 @t94)))
% 0.35/0.74  (step @p105 :rule skolemize :premises (@p104))
% 0.35/0.74  (step @p106 :rule bool-double-not-elim :args (@t106))
% 0.35/0.74  (step @p107 :rule refl :args (@t119))
% 0.35/0.74  (step @p108 :rule nary_cong :premises (@p107 @p106) :args ((or @t119 (not @t118))))
% 0.35/0.74  (step @p109 :rule cnf_or_neg :args (@t119 0))
% 0.35/0.74  (step @p110 :rule eq_resolve :premises (@p109 @p108))
% 0.35/0.74  (step @p111 :rule reordering :premises (@p110) :args ((or @t106 @t119)))
% 0.35/0.74  (step @p112 :rule chain_m_resolution :premises (@p111 @p105) :args (@t106 @t120 @t121))
% 0.35/0.74  (step @p113 :rule true_intro :premises (@p112))
% 0.35/0.74  (step @p114 :rule bool-impl-elim :args (@t38 @t125))
% 0.35/0.74  (step @p115 :rule cong :premises (@p114) :args ((forall @t4 (=> @t38 @t125))))
% 0.35/0.74  (step @p116 :rule aci_norm :args ((= (or (or @t123 @t122) @t27) @t124)))
% 0.35/0.74  (step @p117 :rule refl :args (@t27))
% 0.35/0.74  (step @p118 :rule bool-and-de-morgan :args (@t29 @t28 true))
% 0.35/0.74  (step @p119 :rule nary_cong :premises (@p118 @p117) :args ((or (not @t30) @t27)))
% 0.35/0.74  (step @p120 :rule trans :premises (@p119 @p116))
% 0.35/0.74  (step @p121 :rule bool-impl-elim :args (@t30 @t27))
% 0.35/0.74  (step @p122 :rule trans :premises (@p121 @p120))
% 0.35/0.74  (step @p123 :rule cong :premises (@p122) :args (@t32))
% 0.35/0.74  (step @p124 :rule eq-symm :args (@t33 @t1))
% 0.35/0.74  (step @p125 :rule nary_cong :premises (@p124 @p123) :args (@t34))
% 0.35/0.74  (step @p126 :rule refl :args (@t36))
% 0.35/0.74  (step @p127 :rule cong :premises (@p126 @p125) :args (@t37))
% 0.35/0.74  (step @p128 :rule refl :args (@t38))
% 0.35/0.74  (step @p129 :rule cong :premises (@p128 @p127) :args (@t39))
% 0.35/0.74  (step @p130 :rule cong :premises (@p129) :args (@t40))
% 0.35/0.74  (step @p131 :rule trans :premises (@p130 @p115))
% 0.35/0.74  (step @p132 :rule eq_resolve :premises (@p10 @p131))
% 0.35/0.74  (step @p133 :rule bool-eq-true :args (@t130))
% 0.35/0.74  (step @p134 :rule eq-symm :args (true @t130))
% 0.35/0.74  (step @p135 :rule trans :premises (@p134 @p133))
% 0.35/0.74  (step @p136 :rule eq-symm :args (@t91 @t25))
% 0.35/0.74  (step @p137 :rule refl :args (@t126))
% 0.35/0.74  (step @p138 :rule refl :args (@t127))
% 0.35/0.74  (step @p139 :rule nary_cong :premises (@p138 @p137 @p136) :args (@t131))
% 0.35/0.74  (step @p140 :rule cong :premises (@p139) :args (@t132))
% 0.35/0.74  (step @p141 :rule refl :args (@t129))
% 0.35/0.74  (step @p142 :rule nary_cong :premises (@p141 @p140) :args (@t133))
% 0.35/0.74  (step @p143 :rule eq-refl :args (@t89))
% 0.35/0.74  (step @p144 :rule cong :premises (@p143 @p142) :args (@t134))
% 0.35/0.74  (step @p145 :rule trans :premises (@p144 @p135))
% 0.35/0.74  (step @p146 :rule refl :args (@t96))
% 0.35/0.74  (step @p147 :rule nary_cong :premises (@p146 @p145) :args (@t135))
% 0.35/0.74  (step @p148 :rule refl :args (@t136))
% 0.35/0.74  (step @p149 :rule cong :premises (@p148 @p147) :args ((=> @t136 @t135)))
% 0.35/0.74  (assume-push @p271 @t136)
% 0.35/0.74  (step @p151 :rule instantiate :premises (@p132) :args ((@list @t88 @t89)))
% 0.35/0.74  (step-pop @p272 :rule scope :premises (@p151))
% 0.35/0.74  (step @p152 :rule process_scope :premises (@p272) :args (@t135))
% 0.35/0.74  (step @p154 :rule eq_resolve :premises (@p152 @p149))
% 0.35/0.74  (step @p155 :rule implies_elim :premises (@p154))
% 0.35/0.74  (step @p156 :rule chain_m_resolution :premises (@p155 @p132) :args (@t137 @t138 (@list @t136)))
% 0.35/0.74  (step @p157 :rule cnf_or_pos :args (@t137))
% 0.35/0.74  (step @p158 :rule reordering :premises (@p157) :args ((or @t96 @t130 (not @t137))))
% 0.35/0.74  (step @p159 :rule chain_m_resolution :premises (@p158 @p87 @p156) :args (@t130 @t98 (@list @t95 @t137)))
% 0.35/0.74  (step @p160 :rule cnf_and_pos :args (@t130 0))
% 0.35/0.74  (step @p161 :rule reordering :premises (@p160) :args ((or @t129 @t139)))
% 0.35/0.74  (step @p162 :rule chain_m_resolution :premises (@p161 @p159) :args (@t129 @t138 @t140))
% 0.35/0.74  (step @p163 :rule refl :args (@t105))
% 0.35/0.74  (step @p164 :rule cong :premises (@p163 @p162) :args (@t141))
% 0.35/0.74  (step @p165 :rule trans :premises (@p164 @p113))
% 0.35/0.74  (step @p166 :rule true_elim :premises (@p165))
% 0.35/0.74  (step @p167 :rule bool-double-not-elim :args (@t114))
% 0.35/0.74  (step @p168 :rule nary_cong :premises (@p107 @p167) :args ((or @t119 (not @t115))))
% 0.35/0.74  (step @p169 :rule cnf_or_neg :args (@t119 2))
% 0.35/0.74  (step @p170 :rule eq_resolve :premises (@p169 @p168))
% 0.35/0.74  (step @p171 :rule reordering :premises (@p170) :args ((or @t114 @t119)))
% 0.35/0.74  (step @p172 :rule chain_m_resolution :premises (@p171 @p105) :args (@t114 @t120 @t121))
% 0.35/0.74  (step @p173 :rule true_intro :premises (@p172))
% 0.35/0.74  (step @p174 :rule refl :args (@t107))
% 0.35/0.74  (step @p175 :rule cong :premises (@p174 @p162) :args (@t142))
% 0.35/0.74  (step @p176 :rule trans :premises (@p175 @p173))
% 0.35/0.74  (step @p177 :rule true_elim :premises (@p176))
% 0.35/0.74  (step @p178 :rule aci_norm :args ((= (or (or @t144 @t143) @t63) (or @t144 @t143 @t63))))
% 0.35/0.74  (step @p179 :rule refl :args (@t63))
% 0.35/0.74  (step @p180 :rule bool-and-de-morgan :args (@t65 @t64 true))
% 0.35/0.74  (step @p181 :rule nary_cong :premises (@p180 @p179) :args ((or (not @t66) @t63)))
% 0.35/0.74  (step @p182 :rule trans :premises (@p181 @p178))
% 0.35/0.74  (step @p183 :rule bool-impl-elim :args (@t66 @t63))
% 0.35/0.74  (step @p184 :rule trans :premises (@p183 @p182))
% 0.35/0.74  (step @p185 :rule cong :premises (@p184) :args (@t68))
% 0.35/0.74  (step @p186 :rule eq_resolve :premises (@p35 @p185))
% 0.35/0.74  (step @p187 :rule instantiate :premises (@p186) :args ((@list @t105 @t109 @t107)))
% 0.35/0.74  (step @p188 :rule cnf_and_pos :args (@t130 1))
% 0.35/0.74  (step @p189 :rule reordering :premises (@p188) :args ((or @t128 @t139)))
% 0.35/0.74  (step @p190 :rule chain_m_resolution :premises (@p189 @p159) :args (@t128 @t138 @t140))
% 0.35/0.74  (step @p191 :rule eq-symm :args (@t145 @t110))
% 0.35/0.74  (step @p192 :rule refl :args (@t146))
% 0.35/0.74  (step @p193 :rule refl :args (@t148))
% 0.35/0.74  (step @p194 :rule nary_cong :premises (@p193 @p192 @p191) :args (@t149))
% 0.35/0.74  (step @p195 :rule refl :args (@t128))
% 0.35/0.74  (step @p196 :rule cong :premises (@p195 @p194) :args ((=> @t128 @t149)))
% 0.35/0.74  (assume-push @p273 @t128)
% 0.35/0.74  (step @p198 :rule instantiate :premises (@p190) :args ((@list @t109 @t107)))
% 0.35/0.74  (step-pop @p274 :rule scope :premises (@p198))
% 0.35/0.74  (step @p199 :rule process_scope :premises (@p274) :args (@t149))
% 0.35/0.74  (step @p201 :rule eq_resolve :premises (@p199 @p196))
% 0.35/0.74  (step @p202 :rule implies_elim :premises (@p201))
% 0.35/0.74  (step @p203 :rule chain_m_resolution :premises (@p202 @p190) :args (@t151 @t138 @t152))
% 0.35/0.74  (step @p204 :rule bool-double-not-elim :args (@t116))
% 0.35/0.74  (step @p205 :rule nary_cong :premises (@p107 @p204) :args ((or @t119 (not @t117))))
% 0.35/0.74  (step @p206 :rule cnf_or_neg :args (@t119 1))
% 0.35/0.74  (step @p207 :rule eq_resolve :premises (@p206 @p205))
% 0.35/0.74  (step @p208 :rule reordering :premises (@p207) :args ((or @t116 @t119)))
% 0.35/0.74  (step @p209 :rule chain_m_resolution :premises (@p208 @p105) :args (@t116 @t120 @t121))
% 0.35/0.74  (step @p210 :rule true_intro :premises (@p209))
% 0.35/0.74  (step @p211 :rule refl :args (@t109))
% 0.35/0.74  (step @p212 :rule cong :premises (@p211 @p162) :args (@t147))
% 0.35/0.74  (step @p213 :rule trans :premises (@p212 @p210))
% 0.35/0.74  (step @p214 :rule true_elim :premises (@p213))
% 0.35/0.74  (step @p215 :rule cnf_or_pos :args (@t151))
% 0.35/0.74  (step @p216 :rule reordering :premises (@p215) :args ((or @t148 @t146 @t150 (not @t151))))
% 0.35/0.74  (step @p217 :rule chain_m_resolution :premises (@p216 @p214 @p177 @p203) :args (@t150 @t153 (@list @t147 @t142 @t151)))
% 0.35/0.74  (step @p218 :rule bool-double-not-elim :args (@t110))
% 0.35/0.74  (step @p219 :rule nary_cong :premises (@p107 @p218) :args ((or @t119 (not @t111))))
% 0.35/0.74  (step @p220 :rule cnf_or_neg :args (@t119 4))
% 0.35/0.74  (step @p221 :rule eq_resolve :premises (@p220 @p219))
% 0.35/0.74  (step @p222 :rule reordering :premises (@p221) :args ((or @t110 @t119)))
% 0.35/0.74  (step @p223 :rule chain_m_resolution :premises (@p222 @p105) :args (@t110 @t120 @t121))
% 0.35/0.74  (step @p224 :rule cnf_equiv_pos1 :args (@t150))
% 0.35/0.74  (step @p225 :rule reordering :premises (@p224) :args ((or @t111 @t145 (not @t150))))
% 0.35/0.74  (step @p226 :rule chain_m_resolution :premises (@p225 @p223 @p217) :args (@t145 @t98 (@list @t110 @t150)))
% 0.35/0.74  (step @p227 :rule eq-symm :args (@t154 @t112))
% 0.35/0.74  (step @p228 :rule refl :args (@t155))
% 0.35/0.74  (step @p229 :rule nary_cong :premises (@p228 @p193 @p227) :args (@t156))
% 0.35/0.74  (step @p230 :rule cong :premises (@p195 @p229) :args ((=> @t128 @t156)))
% 0.35/0.74  (assume-push @p275 @t128)
% 0.35/0.74  (step @p232 :rule instantiate :premises (@p190) :args ((@list @t105 @t109)))
% 0.35/0.74  (step-pop @p276 :rule scope :premises (@p232))
% 0.35/0.74  (step @p233 :rule process_scope :premises (@p276) :args (@t156))
% 0.35/0.74  (step @p235 :rule eq_resolve :premises (@p233 @p230))
% 0.35/0.74  (step @p236 :rule implies_elim :premises (@p235))
% 0.35/0.74  (step @p237 :rule chain_m_resolution :premises (@p236 @p190) :args (@t158 @t138 @t152))
% 0.35/0.74  (step @p238 :rule cnf_or_pos :args (@t158))
% 0.35/0.74  (step @p239 :rule reordering :premises (@p238) :args ((or @t155 @t148 @t157 (not @t158))))
% 0.35/0.74  (step @p240 :rule chain_m_resolution :premises (@p239 @p166 @p214 @p237) :args (@t157 @t153 (@list @t141 @t147 @t158)))
% 0.35/0.74  (step @p241 :rule bool-double-not-elim :args (@t112))
% 0.35/0.74  (step @p242 :rule nary_cong :premises (@p107 @p241) :args ((or @t119 (not @t113))))
% 0.35/0.74  (step @p243 :rule cnf_or_neg :args (@t119 3))
% 0.35/0.74  (step @p244 :rule eq_resolve :premises (@p243 @p242))
% 0.35/0.74  (step @p245 :rule reordering :premises (@p244) :args ((or @t112 @t119)))
% 0.35/0.74  (step @p246 :rule chain_m_resolution :premises (@p245 @p105) :args (@t112 @t120 @t121))
% 0.35/0.74  (step @p247 :rule cnf_equiv_pos1 :args (@t157))
% 0.35/0.74  (step @p248 :rule reordering :premises (@p247) :args ((or @t113 @t154 (not @t157))))
% 0.35/0.74  (step @p249 :rule chain_m_resolution :premises (@p248 @p246 @p240) :args (@t154 @t98 (@list @t112 @t157)))
% 0.35/0.74  (step @p250 :rule cnf_or_pos :args (@t162))
% 0.35/0.74  (step @p251 :rule reordering :premises (@p250) :args ((or @t159 @t161 @t160 (not @t162))))
% 0.35/0.74  (step @p252 :rule chain_m_resolution :premises (@p251 @p249 @p226 @p187) :args (@t159 @t153 (@list @t154 @t145 @t162)))
% 0.35/0.74  (step @p253 :rule cnf_or_neg :args (@t119 5))
% 0.35/0.74  (step @p254 :rule chain_m_resolution :premises (@p253 @p105) :args ((not @t108) @t120 @t121))
% 0.35/0.74  (step @p255 :rule cnf_equiv_pos2 :args (@t163))
% 0.35/0.74  (step @p256 :rule reordering :premises (@p255) :args ((or @t108 (not @t159) @t164)))
% 0.35/0.74  (step @p257 :rule chain_m_resolution :premises (@p256 @p254 @p252) :args (@t164 @t103 (@list @t108 @t159)))
% 0.35/0.74  (step @p258 :rule eq-symm :args (@t159 @t108))
% 0.35/0.74  (step @p259 :rule nary_cong :premises (@p228 @p192 @p258) :args (@t165))
% 0.35/0.74  (step @p260 :rule cong :premises (@p195 @p259) :args ((=> @t128 @t165)))
% 0.35/0.74  (assume-push @p277 @t128)
% 0.35/0.74  (step @p262 :rule instantiate :premises (@p190) :args ((@list @t105 @t107)))
% 0.35/0.74  (step-pop @p278 :rule scope :premises (@p262))
% 0.35/0.74  (step @p263 :rule process_scope :premises (@p278) :args (@t165))
% 0.35/0.74  (step @p265 :rule eq_resolve :premises (@p263 @p260))
% 0.35/0.74  (step @p266 :rule implies_elim :premises (@p265))
% 0.35/0.74  (step @p267 :rule chain_m_resolution :premises (@p266 @p190) :args (@t166 @t138 @t152))
% 0.35/0.74  (step @p268 :rule cnf_or_pos :args (@t166))
% 0.35/0.74  (step @p269 :rule reordering :premises (@p268) :args ((or @t155 @t146 @t163 (not @t166))))
% 0.35/0.74  (step @p270 false :rule chain_m_resolution :premises (@p269 @p267 @p257 @p177 @p166) :args (false (@list false true false false) (@list @t166 @t163 @t142 @t141)))
% 0.35/0.74  )
% 0.35/0.74  % SZS output end Proof
% 0.35/0.74  % cvc5 exiting
%------------------------------------------------------------------------------