%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU232+3 : 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 : n019.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 08:51:03 AM UTC 2026 % Result : Theorem 0.65s 0.83s % Output : Proof 0.65s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU232+3 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n019.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 16:44:34 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.65/0.83 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.65/0.83 % SZS status Theorem % 0.65/0.83 % SZS output start Proof % 0.65/0.83 ( % 0.65/0.83 (declare-sort $$unsorted 0) % 0.65/0.83 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.65/0.83 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 0.65/0.83 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.65/0.83 (declare-const tptp.function (-> $$unsorted Bool)) % 0.65/0.83 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 0.65/0.83 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 0.65/0.83 (declare-const tptp.relation_non_empty (-> $$unsorted Bool)) % 0.65/0.83 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.65/0.83 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.65/0.83 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.65/0.83 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.65/0.83 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.65/0.83 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.65/0.83 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 0.65/0.83 (declare-const tptp.empty_set $$unsorted) % 0.65/0.83 (define @t1 () (@var "A" $$unsorted)) % 0.65/0.83 (define @t2 () (@var "B" $$unsorted)) % 0.65/0.83 (define @t3 () (tptp.in @t2 @t1)) % 0.65/0.83 (define @t4 () (not @t3)) % 0.65/0.83 (define @t5 () (tptp.in @t1 @t2)) % 0.65/0.83 (define @t6 () (@list @t1 @t2)) % 0.65/0.83 (define @t7 () (forall @t6 (=> @t5 @t4))) % 0.65/0.83 (define @t8 () (tptp.function @t1)) % 0.65/0.83 (define @t9 () (tptp.empty @t1)) % 0.65/0.83 (define @t10 () (@list @t1)) % 0.65/0.83 (define @t11 () (tptp.epsilon_connected @t1)) % 0.65/0.83 (define @t12 () (tptp.epsilon_transitive @t1)) % 0.65/0.83 (define @t13 () (and @t12 @t11)) % 0.65/0.83 (define @t14 () (tptp.ordinal @t1)) % 0.65/0.83 (define @t15 () (forall @t10 (=> @t14 @t13))) % 0.65/0.83 (define @t16 () (tptp.relation @t1)) % 0.65/0.83 (define @t17 () (and @t16 @t8 (tptp.one_to_one @t1))) % 0.65/0.83 (define @t18 () (and @t16 @t9 @t8)) % 0.65/0.83 (define @t19 () (forall @t10 (=> @t13 @t14))) % 0.65/0.83 (define @t20 () (tptp.subset @t2 @t1)) % 0.65/0.83 (define @t21 () (@list @t2)) % 0.65/0.83 (define @t22 () (forall @t21 (=> @t3 @t20))) % 0.65/0.83 (define @t23 () (= @t12 @t22)) % 0.65/0.83 (define @t24 () (forall @t10 @t23)) % 0.65/0.83 (define @t25 () (@var "C" $$unsorted)) % 0.65/0.83 (define @t26 () (tptp.in @t25 @t2)) % 0.65/0.83 (define @t27 () (not @t26)) % 0.65/0.83 (define @t28 () (= @t2 @t25)) % 0.65/0.83 (define @t29 () (not @t28)) % 0.65/0.83 (define @t30 () (tptp.in @t2 @t25)) % 0.65/0.83 (define @t31 () (not @t30)) % 0.65/0.83 (define @t32 () (tptp.in @t25 @t1)) % 0.65/0.83 (define @t33 () (@list @t2 @t25)) % 0.65/0.83 (define @t34 () (forall @t33 (not (and @t3 @t32 @t31 @t29 @t27)))) % 0.65/0.83 (define @t35 () (= @t11 @t34)) % 0.65/0.83 (define @t36 () (forall @t10 @t35)) % 0.65/0.83 (define @t37 () (@list @t25)) % 0.65/0.83 (define @t38 () (forall @t37 (=> @t32 @t26))) % 0.65/0.83 (define @t39 () (tptp.subset @t1 @t2)) % 0.65/0.83 (define @t40 () (= @t39 @t38)) % 0.65/0.83 (define @t41 () (forall @t6 @t40)) % 0.65/0.83 (define @t42 () (@var "D" $$unsorted)) % 0.65/0.83 (define @t43 () (tptp.in @t42 @t2)) % 0.65/0.83 (define @t44 () (tptp.in @t42 @t25)) % 0.65/0.83 (define @t45 () (@list @t42)) % 0.65/0.83 (define @t46 () (tptp.set_difference @t1 @t2)) % 0.65/0.83 (define @t47 () (@list @t1 @t2 @t25)) % 0.65/0.83 (define @t48 () (tptp.relation tptp.empty_set)) % 0.65/0.83 (define @t49 () (tptp.empty tptp.empty_set)) % 0.65/0.83 (define @t50 () (not @t9)) % 0.65/0.83 (define @t51 () (tptp.relation_empty_yielding @t1)) % 0.65/0.83 (define @t52 () (tptp.element @t1 @t2)) % 0.65/0.83 (define @t53 () (=> @t5 @t14)) % 0.65/0.83 (define @t54 () (tptp.ordinal @t2)) % 0.65/0.83 (define @t55 () (forall @t6 (=> @t54 @t53))) % 0.65/0.83 (define @t56 () (not @t55)) % 0.65/0.83 (define @t57 () (tptp.empty @t2)) % 0.65/0.83 (define @t58 () (or @t57 @t5)) % 0.65/0.83 (define @t59 () (forall @t6 (=> @t52 @t58))) % 0.65/0.83 (define @t60 () (forall @t47 (not (and @t5 @t30 @t32)))) % 0.65/0.83 (define @t61 () (tptp.element @t1 (tptp.powerset @t2))) % 0.65/0.83 (define @t62 () (forall @t6 (= @t61 @t39))) % 0.65/0.83 (define @t63 () (tptp.element @t1 @t25)) % 0.65/0.83 (define @t64 () (tptp.element @t2 (tptp.powerset @t25))) % 0.65/0.83 (define @t65 () (and @t5 @t64)) % 0.65/0.83 (define @t66 () (forall @t47 (=> @t65 @t63))) % 0.65/0.83 (define @t67 () (forall @t6 (not (and @t5 @t57)))) % 0.65/0.83 (define @t68 () (not @t32)) % 0.65/0.83 (define @t69 () (not @t27)) % 0.65/0.83 (define @t70 () (not @t29)) % 0.65/0.83 (define @t71 () (not @t31)) % 0.65/0.83 (define @t72 () (or @t4 @t68 @t71 @t70 @t69)) % 0.65/0.83 (define @t73 () (not @t5)) % 0.65/0.83 (define @t74 () (not @t54)) % 0.65/0.83 (define @t75 () (or @t74 @t73 @t14)) % 0.65/0.83 (define @t76 () (forall @t6 @t75)) % 0.65/0.83 (define @t77 () (@quantifiers_skolemize @t76 0)) % 0.65/0.83 (define @t78 () (@list @t77)) % 0.65/0.83 (define @t79 () (not @t11)) % 0.65/0.83 (define @t80 () (not @t12)) % 0.65/0.83 (define @t81 () (not (tptp.in @t2 @t77))) % 0.65/0.83 (define @t82 () (forall @t21 (or @t81 (tptp.subset @t2 @t77)))) % 0.65/0.83 (define @t83 () (@quantifiers_skolemize @t82 0)) % 0.65/0.83 (define @t84 () (tptp.in @t83 @t77)) % 0.65/0.83 (define @t85 () (tptp.subset @t83 @t77)) % 0.65/0.83 (define @t86 () (not @t84)) % 0.65/0.83 (define @t87 () (or @t86 @t85)) % 0.65/0.83 (define @t88 () (@quantifiers_skolemize @t76 1)) % 0.65/0.83 (define @t89 () (@list @t77 @t88)) % 0.65/0.83 (define @t90 () (@list @t88)) % 0.65/0.83 (define @t91 () (tptp.ordinal @t88)) % 0.65/0.83 (define @t92 () (tptp.ordinal @t77)) % 0.65/0.83 (define @t93 () (tptp.in @t77 @t88)) % 0.65/0.83 (define @t94 () (not @t93)) % 0.65/0.83 (define @t95 () (not @t91)) % 0.65/0.83 (define @t96 () (or @t95 @t94 @t92)) % 0.65/0.83 (define @t97 () (@list true)) % 0.65/0.83 (define @t98 () (@list @t96)) % 0.65/0.83 (define @t99 () (tptp.epsilon_connected @t88)) % 0.65/0.83 (define @t100 () (tptp.epsilon_transitive @t88)) % 0.65/0.83 (define @t101 () (and @t100 @t99)) % 0.65/0.83 (define @t102 () (or @t95 @t101)) % 0.65/0.83 (define @t103 () (@list false false)) % 0.65/0.83 (define @t104 () (not @t101)) % 0.65/0.83 (define @t105 () (@list false)) % 0.65/0.83 (define @t106 () (@list @t101)) % 0.65/0.83 (define @t107 () (not (tptp.in @t2 @t88))) % 0.65/0.83 (define @t108 () (forall @t21 (or @t107 (tptp.subset @t2 @t88)))) % 0.65/0.83 (define @t109 () (= @t100 @t108)) % 0.65/0.83 (define @t110 () (tptp.subset @t77 @t88)) % 0.65/0.83 (define @t111 () (or @t94 @t110)) % 0.65/0.83 (define @t112 () (tptp.in @t25 @t88)) % 0.65/0.83 (define @t113 () (tptp.in @t25 @t77)) % 0.65/0.83 (define @t114 () (not @t113)) % 0.65/0.83 (define @t115 () (forall @t37 (or @t114 @t112))) % 0.65/0.83 (define @t116 () (= @t110 @t115)) % 0.65/0.83 (define @t117 () (not @t110)) % 0.65/0.83 (define @t118 () (@list @t83)) % 0.65/0.83 (define @t119 () (tptp.in @t83 @t88)) % 0.65/0.83 (define @t120 () (or @t86 @t119)) % 0.65/0.83 (define @t121 () (forall @t37 (or (not (tptp.in @t25 @t83)) @t113))) % 0.65/0.83 (define @t122 () (= @t85 @t121)) % 0.65/0.83 (define @t123 () (not @t121)) % 0.65/0.83 (define @t124 () (tptp.subset @t83 @t88)) % 0.65/0.83 (define @t125 () (not @t119)) % 0.65/0.83 (define @t126 () (or @t125 @t124)) % 0.65/0.83 (define @t127 () (@quantifiers_skolemize @t121 0)) % 0.65/0.83 (define @t128 () (tptp.in @t127 @t77)) % 0.65/0.83 (define @t129 () (tptp.in @t127 @t83)) % 0.65/0.83 (define @t130 () (not @t129)) % 0.65/0.83 (define @t131 () (or @t130 @t128)) % 0.65/0.83 (define @t132 () (not @t131)) % 0.65/0.83 (define @t133 () (tptp.powerset @t88)) % 0.65/0.83 (define @t134 () (tptp.element @t83 @t133)) % 0.65/0.83 (define @t135 () (forall @t6 (= @t39 @t61))) % 0.65/0.83 (define @t136 () (= @t124 @t134)) % 0.65/0.83 (define @t137 () (= @t134 @t124)) % 0.65/0.83 (define @t138 () (not @t64)) % 0.65/0.83 (define @t139 () (tptp.element @t127 @t88)) % 0.65/0.83 (define @t140 () (not @t134)) % 0.65/0.83 (define @t141 () (or @t130 @t140 @t139)) % 0.65/0.83 (define @t142 () (tptp.in @t83 @t127)) % 0.65/0.83 (define @t143 () (not @t142)) % 0.65/0.83 (define @t144 () (or @t143 @t130)) % 0.65/0.83 (define @t145 () (tptp.in @t77 @t127)) % 0.65/0.83 (define @t146 () (not @t145)) % 0.65/0.83 (define @t147 () (or @t130 @t86 @t146)) % 0.65/0.83 (define @t148 () (tptp.empty @t88)) % 0.65/0.83 (define @t149 () (not @t148)) % 0.65/0.83 (define @t150 () (or @t94 @t149)) % 0.65/0.83 (define @t151 () (not @t52)) % 0.65/0.83 (define @t152 () (tptp.in @t127 @t88)) % 0.65/0.83 (define @t153 () (not @t139)) % 0.65/0.83 (define @t154 () (or @t153 @t148 @t152)) % 0.65/0.83 (define @t155 () (forall @t33 (or @t107 (not @t112) @t30 @t28 @t26))) % 0.65/0.83 (define @t156 () (= @t99 @t155)) % 0.65/0.83 (define @t157 () (not @t152)) % 0.65/0.83 (define @t158 () (or @t157 @t94 @t128 (= @t127 @t77) @t145)) % 0.65/0.83 (define @t159 () (= @t77 @t127)) % 0.65/0.83 (define @t160 () (or @t157 @t94 @t128 @t159 @t145)) % 0.65/0.83 (define @t161 () (not @t159)) % 0.65/0.83 (define @t162 () (and @t84 @t159 @t143)) % 0.65/0.83 (define @t163 () (not @t87)) % 0.65/0.83 (define @t164 () (not @t82)) % 0.65/0.83 (define @t165 () (tptp.epsilon_transitive @t77)) % 0.65/0.83 (define @t166 () (= @t165 @t82)) % 0.65/0.83 (define @t167 () (tptp.epsilon_connected @t77)) % 0.65/0.83 (define @t168 () (not @t167)) % 0.65/0.83 (define @t169 () (not @t165)) % 0.65/0.83 (define @t170 () (or @t169 @t168 @t92)) % 0.65/0.83 (define @t171 () (forall @t33 (or @t81 @t114 @t30 @t28 @t26))) % 0.65/0.83 (define @t172 () (= @t167 @t171)) % 0.65/0.83 (define @t173 () (not @t171)) % 0.65/0.83 (define @t174 () (@quantifiers_skolemize @t171 0)) % 0.65/0.83 (define @t175 () (@quantifiers_skolemize @t171 1)) % 0.65/0.83 (define @t176 () (tptp.in @t175 @t174)) % 0.65/0.83 (define @t177 () (= @t174 @t175)) % 0.65/0.83 (define @t178 () (tptp.in @t174 @t175)) % 0.65/0.83 (define @t179 () (tptp.in @t175 @t77)) % 0.65/0.83 (define @t180 () (not @t179)) % 0.65/0.83 (define @t181 () (tptp.in @t174 @t77)) % 0.65/0.83 (define @t182 () (not @t181)) % 0.65/0.83 (define @t183 () (or @t182 @t180 @t178 @t177 @t176)) % 0.65/0.83 (define @t184 () (not @t183)) % 0.65/0.83 (define @t185 () (@list @t183)) % 0.65/0.83 (define @t186 () (tptp.element @t77 @t133)) % 0.65/0.83 (define @t187 () (= @t110 @t186)) % 0.65/0.83 (define @t188 () (tptp.element @t175 @t88)) % 0.65/0.83 (define @t189 () (not @t186)) % 0.65/0.83 (define @t190 () (or @t180 @t189 @t188)) % 0.65/0.83 (define @t191 () (tptp.element @t174 @t88)) % 0.65/0.83 (define @t192 () (or @t182 @t189 @t191)) % 0.65/0.83 (define @t193 () (tptp.in @t175 @t88)) % 0.65/0.83 (define @t194 () (not @t188)) % 0.65/0.83 (define @t195 () (or @t194 @t148 @t193)) % 0.65/0.83 (define @t196 () (tptp.in @t174 @t88)) % 0.65/0.83 (define @t197 () (not @t191)) % 0.65/0.83 (define @t198 () (or @t197 @t148 @t196)) % 0.65/0.83 (define @t199 () (not @t193)) % 0.65/0.83 (define @t200 () (not @t196)) % 0.65/0.83 (define @t201 () (or @t200 @t199 @t178 @t177 @t176)) % 0.65/0.83 (assume @p1 @t7) % 0.65/0.83 (assume @p2 (forall @t10 (=> @t9 @t8))) % 0.65/0.83 (assume @p3 @t15) % 0.65/0.83 (assume @p4 (forall @t10 (=> @t9 @t16))) % 0.65/0.83 (assume @p5 (forall @t10 (=> @t18 @t17))) % 0.65/0.83 (assume @p6 @t19) % 0.65/0.83 (assume @p7 @t24) % 0.65/0.83 (assume @p8 @t36) % 0.65/0.83 (assume @p9 @t41) % 0.65/0.83 (assume @p10 (forall @t10 (= @t14 @t13))) % 0.65/0.83 (assume @p11 (forall @t47 (= (= @t25 @t46) (forall @t45 (= @t44 (and (tptp.in @t42 @t1) (not @t43))))))) % 0.65/0.83 (assume @p12 (forall @t10 (exists @t21 (tptp.element @t2 @t1)))) % 0.65/0.83 (assume @p13 (and @t49 @t48 (tptp.relation_empty_yielding tptp.empty_set))) % 0.65/0.83 (assume @p14 @t49) % 0.65/0.83 (assume @p15 (forall @t6 (=> (and @t16 (tptp.relation @t2)) (tptp.relation @t46)))) % 0.65/0.83 (assume @p16 (and @t49 @t48)) % 0.65/0.83 (assume @p17 (exists @t10 (and @t16 @t8))) % 0.65/0.83 (assume @p18 (exists @t10 (and @t12 @t11 @t14))) % 0.65/0.83 (assume @p19 (exists @t10 (and @t9 @t16))) % 0.65/0.83 (assume @p20 (exists @t10 @t9)) % 0.65/0.83 (assume @p21 (exists @t10 @t18)) % 0.65/0.83 (assume @p22 (exists @t10 (and @t50 @t16))) % 0.65/0.83 (assume @p23 (exists @t10 @t50)) % 0.65/0.83 (assume @p24 (exists @t10 @t17)) % 0.65/0.83 (assume @p25 (exists @t10 (and @t16 @t51))) % 0.65/0.83 (assume @p26 (exists @t10 (and @t16 @t51 @t8))) % 0.65/0.83 (assume @p27 (exists @t10 (and @t16 (tptp.relation_non_empty @t1) @t8))) % 0.65/0.83 (assume @p28 (forall @t6 (tptp.subset @t1 @t1))) % 0.65/0.83 (assume @p29 (forall @t6 (=> @t5 @t52))) % 0.65/0.83 (assume @p30 @t56) % 0.65/0.83 (assume @p31 @t59) % 0.65/0.83 (assume @p32 (forall @t10 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 0.65/0.83 (assume @p33 @t60) % 0.65/0.83 (assume @p34 @t62) % 0.65/0.83 (assume @p35 (forall @t10 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 0.65/0.83 (assume @p36 @t66) % 0.65/0.83 (assume @p37 (forall @t47 (not (and @t5 @t64 (tptp.empty @t25))))) % 0.65/0.83 (assume @p38 (forall @t10 (=> @t9 (= @t1 tptp.empty_set)))) % 0.65/0.83 (assume @p39 @t67) % 0.65/0.83 (assume @p40 (forall @t6 (not (and @t5 (forall @t37 (not (and @t26 (forall @t45 (not (and @t43 @t44)))))))))) % 0.65/0.83 (assume @p41 (forall @t6 (not (and @t9 (not (= @t1 @t2)) @t57)))) % 0.65/0.83 (assume @p42 true) % 0.65/0.83 (step @p43 :rule bool-double-not-elim :args (@t26)) % 0.65/0.83 (step @p44 :rule bool-double-not-elim :args (@t28)) % 0.65/0.83 (step @p45 :rule bool-double-not-elim :args (@t30)) % 0.65/0.83 (step @p46 :rule refl :args (@t68)) % 0.65/0.83 (step @p47 :rule refl :args (@t4)) % 0.65/0.83 (step @p48 :rule nary_cong :premises (@p47 @p46 @p45 @p44 @p43) :args (@t72)) % 0.65/0.83 (step @p49 :rule aci_norm :args ((= (or @t4 (or @t68 (or @t71 (or @t70 @t69)))) @t72))) % 0.65/0.83 (step @p50 :rule trans :premises (@p49 @p48)) % 0.65/0.83 (step @p51 :rule bool-and-de-morgan :args (@t29 @t27 true)) % 0.65/0.83 (step @p52 :rule refl :args (@t71)) % 0.65/0.83 (step @p53 :rule nary_cong :premises (@p52 @p51) :args ((or @t71 (not (and @t29 @t27))))) % 0.65/0.83 (step @p54 :rule bool-and-de-morgan :args (@t31 @t29 (and @t27))) % 0.65/0.83 (step @p55 :rule trans :premises (@p54 @p53)) % 0.65/0.83 (step @p56 :rule nary_cong :premises (@p46 @p55) :args ((or @t68 (not (and @t31 @t29 @t27))))) % 0.65/0.83 (step @p57 :rule bool-and-de-morgan :args (@t32 @t31 (and @t29 @t27))) % 0.65/0.83 (step @p58 :rule trans :premises (@p57 @p56)) % 0.65/0.83 (step @p59 :rule nary_cong :premises (@p47 @p58) :args ((or @t4 (not (and @t32 @t31 @t29 @t27))))) % 0.65/0.83 (step @p60 :rule bool-and-de-morgan :args (@t3 @t32 (and @t31 @t29 @t27))) % 0.65/0.83 (step @p61 :rule trans :premises (@p60 @p59)) % 0.65/0.83 (step @p62 :rule trans :premises (@p61 @p50)) % 0.65/0.83 (step @p63 :rule cong :premises (@p62) :args (@t34)) % 0.65/0.83 (step @p64 :rule refl :args (@t11)) % 0.65/0.83 (step @p65 :rule cong :premises (@p64 @p63) :args (@t35)) % 0.65/0.83 (step @p66 :rule cong :premises (@p65) :args (@t36)) % 0.65/0.83 (step @p67 :rule eq_resolve :premises (@p8 @p66)) % 0.65/0.83 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% 0.65/0.83 (step @p288 :rule bool-double-not-elim :args (@t82)) % 0.65/0.83 (step @p289 :rule nary_cong :premises (@p288 @p287) :args ((or (not @t164) @t163))) % 0.65/0.83 (assume-push @p376 @t164) % 0.65/0.83 (step @p291 :rule skolemize :premises (@p376)) % 0.65/0.83 (step-pop @p377 :rule scope :premises (@p291)) % 0.65/0.83 (step @p292 :rule process_scope :premises (@p377) :args (@t163)) % 0.65/0.83 (step @p294 :rule implies_elim :premises (@p292)) % 0.65/0.83 (step @p295 :rule eq_resolve :premises (@p294 @p289)) % 0.65/0.83 (step @p296 :rule chain_m_resolution :premises (@p295 @p286) :args (@t82 @t105 (@list @t87))) % 0.65/0.83 (step @p297 :rule cnf_equiv_pos2 :args (@t166)) % 0.65/0.83 (step @p298 :rule reordering :premises (@p297) :args ((or @t165 @t164 (not @t166)))) % 0.65/0.83 (step @p299 :rule chain_m_resolution :premises (@p298 @p296 @p85) :args (@t165 @t103 (@list @t82 @t166))) % 0.65/0.83 (step @p300 :rule cnf_or_neg :args (@t96 2)) % 0.65/0.83 (step @p301 :rule chain_m_resolution :premises (@p300 @p115) :args ((not @t92) @t97 @t98)) % 0.65/0.83 (step @p302 :rule cnf_or_pos :args (@t170)) % 0.65/0.83 (step @p303 :rule reordering :premises (@p302) :args ((or @t92 @t169 @t168 (not @t170)))) % 0.65/0.83 (step @p304 :rule chain_m_resolution :premises (@p303 @p301 @p299 @p78) :args (@t168 (@list true false false) (@list @t92 @t165 @t170))) % 0.65/0.83 (step @p305 :rule cnf_equiv_pos2 :args (@t172)) % 0.65/0.83 (step @p306 :rule reordering :premises (@p305) :args ((or @t167 @t173 (not @t172)))) % 0.65/0.83 (step @p307 :rule chain_m_resolution :premises (@p306 @p304 @p68) :args (@t173 (@list true false) (@list @t167 @t172))) % 0.65/0.83 (step @p308 :rule refl :args (@t184)) % 0.65/0.83 (step @p309 :rule bool-double-not-elim :args (@t171)) % 0.65/0.83 (step @p310 :rule nary_cong :premises (@p309 @p308) :args ((or (not @t173) @t184))) % 0.65/0.83 (assume-push @p378 @t173) % 0.65/0.83 (step @p312 :rule skolemize :premises (@p378)) % 0.65/0.83 (step-pop @p379 :rule scope :premises (@p312)) % 0.65/0.83 (step @p313 :rule process_scope :premises (@p379) :args (@t184)) % 0.65/0.83 (step @p315 :rule implies_elim :premises (@p313)) % 0.65/0.83 (step @p316 :rule eq_resolve :premises (@p315 @p310)) % 0.65/0.83 (step @p317 :rule chain_m_resolution :premises (@p316 @p307) :args (@t184 @t97 (@list @t171))) % 0.65/0.83 (step @p318 :rule cnf_or_neg :args (@t183 2)) % 0.65/0.83 (step @p319 :rule chain_m_resolution :premises (@p318 @p317) :args ((not @t178) @t97 @t185)) % 0.65/0.83 (step @p320 :rule bool-double-not-elim :args (@t181)) % 0.65/0.83 (step @p321 :rule refl :args (@t183)) % 0.65/0.83 (step @p322 :rule nary_cong :premises (@p321 @p320) :args ((or @t183 (not @t182)))) % 0.65/0.83 (step @p323 :rule cnf_or_neg :args (@t183 0)) % 0.65/0.83 (step @p324 :rule eq_resolve :premises (@p323 @p322)) % 0.65/0.83 (step @p325 :rule reordering :premises (@p324) :args ((or @t181 @t183))) % 0.65/0.83 (step @p326 :rule chain_m_resolution :premises (@p325 @p317) :args (@t181 @t97 @t185)) % 0.65/0.83 (step @p327 :rule cnf_or_neg :args (@t183 4)) % 0.65/0.83 (step @p328 :rule chain_m_resolution :premises (@p327 @p317) :args ((not @t176) @t97 @t185)) % 0.65/0.83 (step @p329 :rule instantiate :premises (@p165) :args (@t89)) % 0.65/0.83 (step @p330 :rule cnf_equiv_pos1 :args (@t187)) % 0.65/0.83 (step @p331 :rule reordering :premises (@p330) :args ((or @t117 @t186 (not @t187)))) % 0.65/0.83 (step @p332 :rule chain_m_resolution :premises (@p331 @p141 @p329) :args (@t186 @t103 (@list @t110 @t187))) % 0.65/0.83 (step @p333 :rule bool-double-not-elim :args (@t179)) % 0.65/0.83 (step @p334 :rule nary_cong :premises (@p321 @p333) :args ((or @t183 (not @t180)))) % 0.65/0.83 (step @p335 :rule cnf_or_neg :args (@t183 1)) % 0.65/0.83 (step @p336 :rule eq_resolve :premises (@p335 @p334)) % 0.65/0.83 (step @p337 :rule reordering :premises (@p336) :args ((or @t179 @t183))) % 0.65/0.83 (step @p338 :rule chain_m_resolution :premises (@p337 @p317) :args (@t179 @t97 @t185)) % 0.65/0.83 (step @p339 :rule cnf_or_neg :args (@t183 3)) % 0.65/0.83 (step @p340 :rule chain_m_resolution :premises (@p339 @p317) :args ((not @t177) @t97 @t185)) % 0.65/0.83 (step @p341 :rule instantiate :premises (@p193) :args ((@list @t175 @t77 @t88))) % 0.65/0.83 (step @p342 :rule cnf_or_pos :args (@t190)) % 0.65/0.83 (step @p343 :rule reordering :premises (@p342) :args ((or @t180 @t188 @t189 (not @t190)))) % 0.65/0.83 (step @p344 :rule instantiate :premises (@p193) :args ((@list @t174 @t77 @t88))) % 0.65/0.83 (step @p345 :rule cnf_or_pos :args (@t192)) % 0.65/0.83 (step @p346 :rule reordering :premises (@p345) :args ((or @t182 @t191 @t189 (not @t192)))) % 0.65/0.83 (step @p347 :rule instantiate :premises (@p226) :args ((@list @t175 @t88))) % 0.65/0.83 (step @p348 :rule cnf_or_pos :args (@t195)) % 0.65/0.83 (step @p349 :rule reordering :premises (@p348) :args ((or @t148 @t193 @t194 (not @t195)))) % 0.65/0.83 (step @p350 :rule instantiate :premises (@p226) :args ((@list @t174 @t88))) % 0.65/0.83 (step @p351 :rule cnf_or_pos :args (@t198)) % 0.65/0.83 (step @p352 :rule reordering :premises (@p351) :args ((or @t148 @t196 @t197 (not @t198)))) % 0.65/0.83 (step @p353 :rule instantiate :premises (@p236) :args ((@list @t174 @t175))) % 0.65/0.83 (step @p354 :rule cnf_or_pos :args (@t201)) % 0.65/0.83 (step @p355 :rule reordering :premises (@p354) :args ((or @t178 @t177 @t176 @t200 @t199 (not @t201)))) % 0.65/0.83 (step @p356 :rule chain_m_resolution :premises (@p355 @p353 @p352 @p350 @p221 @p349 @p347 @p221 @p346 @p344 @p343 @p341) :args ((or @t182 @t180 @t178 @t177 @t176 @t189) (@list false false false true false false true false false false false) (@list @t201 @t196 @t198 @t148 @t193 @t195 @t148 @t191 @t192 @t188 @t190))) % 0.65/0.83 (step @p357 false :rule chain_m_resolution :premises (@p356 @p340 @p338 @p332 @p328 @p326 @p319) :args (false (@list true false false true false true) (@list @t177 @t179 @t186 @t176 @t181 @t178))) % 0.65/0.83 ) % 0.65/0.83 % SZS output end Proof % 0.65/0.83 % cvc5 exiting %------------------------------------------------------------------------------