%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET770+4 : TPTP v9.2.1. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n017.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 08:48:37 AM UTC 2026 % Result : Theorem 0.41s 0.61s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET770+4 : TPTP v9.2.1. Released v2.2.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n017.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 16:10:01 EDT 2026 % 0.17/0.34 % CPUTime : % 0.33/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.41/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.41/0.61 % SZS status Theorem % 0.41/0.61 % SZS output start Proof % 0.41/0.61 ( % 0.41/0.61 (declare-sort $$unsorted 0) % 0.41/0.61 (declare-const tptp.pre_order (-> $$unsorted $$unsorted Bool)) % 0.41/0.61 (declare-const tptp.equivalence (-> $$unsorted $$unsorted Bool)) % 0.41/0.61 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.41/0.61 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.41/0.61 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.41/0.61 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.41/0.61 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 0.41/0.61 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.41/0.61 (declare-const tptp.equivalence_class (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.41/0.61 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.41/0.61 (declare-const tptp.empty_set $$unsorted) % 0.41/0.61 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 0.41/0.61 (declare-const tptp.partition (-> $$unsorted $$unsorted Bool)) % 0.41/0.61 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.41/0.61 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.41/0.61 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.41/0.61 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.41/0.61 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.41/0.61 (define @t1 () (@var "B" $$unsorted)) % 0.41/0.61 (define @t2 () (@var "X" $$unsorted)) % 0.41/0.61 (define @t3 () (tptp.member @t2 @t1)) % 0.41/0.61 (define @t4 () (@var "A" $$unsorted)) % 0.41/0.61 (define @t5 () (tptp.member @t2 @t4)) % 0.41/0.61 (define @t6 () (@list @t2)) % 0.41/0.61 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.41/0.61 (define @t8 () (tptp.subset @t4 @t1)) % 0.41/0.61 (define @t9 () (= @t8 @t7)) % 0.41/0.61 (define @t10 () (@list @t4 @t1)) % 0.41/0.61 (define @t11 () (forall @t10 @t9)) % 0.41/0.61 (define @t12 () (@list @t2 @t4)) % 0.41/0.61 (define @t13 () (and @t5 @t3)) % 0.41/0.61 (define @t14 () (@list @t2 @t4 @t1)) % 0.41/0.61 (define @t15 () (@var "E" $$unsorted)) % 0.41/0.61 (define @t16 () (tptp.member @t1 @t15)) % 0.41/0.61 (define @t17 () (= @t2 @t4)) % 0.41/0.61 (define @t18 () (@var "Y" $$unsorted)) % 0.41/0.61 (define @t19 () (tptp.member @t2 @t18)) % 0.41/0.61 (define @t20 () (tptp.member @t18 @t4)) % 0.41/0.61 (define @t21 () (@list @t18)) % 0.41/0.61 (define @t22 () (exists @t21 (and @t20 @t19))) % 0.41/0.61 (define @t23 () (exists @t6 @t13)) % 0.41/0.61 (define @t24 () (not @t23)) % 0.41/0.61 (define @t25 () (tptp.disjoint @t4 @t1)) % 0.41/0.61 (define @t26 () (= @t25 @t24)) % 0.41/0.61 (define @t27 () (forall @t10 @t26)) % 0.41/0.61 (define @t28 () (@var "Z" $$unsorted)) % 0.41/0.61 (define @t29 () (and @t5 @t20)) % 0.41/0.61 (define @t30 () (@list @t2 @t18)) % 0.41/0.61 (define @t31 () (tptp.member @t2 @t15)) % 0.41/0.61 (define @t32 () (@var "R" $$unsorted)) % 0.41/0.61 (define @t33 () (tptp.apply @t32 @t2 @t28)) % 0.41/0.61 (define @t34 () (tptp.apply @t32 @t18 @t28)) % 0.41/0.61 (define @t35 () (tptp.apply @t32 @t2 @t18)) % 0.41/0.61 (define @t36 () (and @t35 @t34)) % 0.41/0.61 (define @t37 () (=> @t36 @t33)) % 0.41/0.61 (define @t38 () (tptp.member @t28 @t4)) % 0.41/0.61 (define @t39 () (and @t5 @t20 @t38)) % 0.41/0.61 (define @t40 () (@list @t2 @t18 @t28)) % 0.41/0.61 (define @t41 () (forall @t40 (=> @t39 @t37))) % 0.41/0.61 (define @t42 () (tptp.apply @t32 @t18 @t2)) % 0.41/0.61 (define @t43 () (=> @t35 @t42)) % 0.41/0.61 (define @t44 () (forall @t30 (=> @t29 @t43))) % 0.41/0.61 (define @t45 () (tptp.apply @t32 @t2 @t2)) % 0.41/0.61 (define @t46 () (forall @t6 (=> @t5 @t45))) % 0.41/0.61 (define @t47 () (and @t46 @t44 @t41)) % 0.41/0.61 (define @t48 () (tptp.equivalence @t32 @t4)) % 0.41/0.61 (define @t49 () (= @t48 @t47)) % 0.41/0.61 (define @t50 () (forall (@list @t4 @t32) @t49)) % 0.41/0.61 (define @t51 () (tptp.equivalence_class @t4 @t15 @t32)) % 0.41/0.61 (define @t52 () (tptp.equivalence_class @t1 @t15 @t32)) % 0.41/0.61 (define @t53 () (tptp.disjoint @t51 @t52)) % 0.41/0.61 (define @t54 () (tptp.equal_set @t51 @t52)) % 0.41/0.61 (define @t55 () (or @t54 @t53)) % 0.41/0.61 (define @t56 () (tptp.member @t4 @t15)) % 0.41/0.61 (define @t57 () (tptp.equivalence @t32 @t15)) % 0.41/0.61 (define @t58 () (and @t57 @t56 @t16)) % 0.41/0.61 (define @t59 () (@list @t15 @t32 @t4 @t1)) % 0.41/0.61 (define @t60 () (forall @t59 (=> @t58 @t55))) % 0.41/0.61 (define @t61 () (not @t60)) % 0.41/0.61 (define @t62 () (not @t34)) % 0.41/0.61 (define @t63 () (not @t35)) % 0.41/0.61 (define @t64 () (not @t38)) % 0.41/0.61 (define @t65 () (not @t20)) % 0.41/0.61 (define @t66 () (not @t5)) % 0.41/0.61 (define @t67 () (or @t63 @t62 @t33)) % 0.41/0.61 (define @t68 () (or @t66 @t65 @t64)) % 0.41/0.61 (define @t69 () (not @t16)) % 0.41/0.61 (define @t70 () (not @t56)) % 0.41/0.61 (define @t71 () (not @t57)) % 0.41/0.61 (define @t72 () (or @t71 @t70 @t69 @t54 @t53)) % 0.41/0.61 (define @t73 () (forall @t59 @t72)) % 0.41/0.61 (define @t74 () (@quantifiers_skolemize @t73 1)) % 0.41/0.61 (define @t75 () (@quantifiers_skolemize @t73 0)) % 0.41/0.61 (define @t76 () (or @t71 @t70 @t69)) % 0.41/0.61 (define @t77 () (tptp.equivalence @t74 @t75)) % 0.41/0.61 (define @t78 () (@quantifiers_skolemize @t73 3)) % 0.41/0.61 (define @t79 () (tptp.equivalence_class @t78 @t75 @t74)) % 0.41/0.61 (define @t80 () (@quantifiers_skolemize @t73 2)) % 0.41/0.61 (define @t81 () (tptp.equivalence_class @t80 @t75 @t74)) % 0.41/0.61 (define @t82 () (tptp.disjoint @t81 @t79)) % 0.41/0.61 (define @t83 () (tptp.equal_set @t81 @t79)) % 0.41/0.61 (define @t84 () (tptp.member @t78 @t75)) % 0.41/0.61 (define @t85 () (not @t84)) % 0.41/0.61 (define @t86 () (tptp.member @t80 @t75)) % 0.41/0.61 (define @t87 () (not @t86)) % 0.41/0.61 (define @t88 () (not @t77)) % 0.41/0.61 (define @t89 () (or @t88 @t87 @t85 @t83 @t82)) % 0.41/0.61 (define @t90 () (@list true)) % 0.41/0.61 (define @t91 () (@list @t89)) % 0.41/0.61 (define @t92 () (not (tptp.apply @t74 @t2 @t18))) % 0.41/0.61 (define @t93 () (not (tptp.member @t18 @t75))) % 0.41/0.61 (define @t94 () (not (tptp.member @t2 @t75))) % 0.41/0.61 (define @t95 () (forall @t40 (or @t94 @t93 (not (tptp.member @t28 @t75)) @t92 (not (tptp.apply @t74 @t18 @t28)) (tptp.apply @t74 @t2 @t28)))) % 0.41/0.61 (define @t96 () (forall @t30 (or @t94 @t93 @t92 (tptp.apply @t74 @t18 @t2)))) % 0.41/0.61 (define @t97 () (and (forall @t6 (or @t94 (tptp.apply @t74 @t2 @t2))) @t96 @t95)) % 0.41/0.61 (define @t98 () (= @t77 @t97)) % 0.41/0.61 (define @t99 () (@list false false)) % 0.41/0.61 (define @t100 () (not @t97)) % 0.41/0.61 (define @t101 () (@list false)) % 0.41/0.61 (define @t102 () (@list @t97)) % 0.41/0.61 (define @t103 () (tptp.member @t2 @t79)) % 0.41/0.61 (define @t104 () (tptp.member @t2 @t81)) % 0.41/0.61 (define @t105 () (not @t104)) % 0.41/0.61 (define @t106 () (forall @t6 (or @t105 @t103))) % 0.41/0.61 (define @t107 () (@quantifiers_skolemize @t106 0)) % 0.41/0.61 (define @t108 () (@list @t81 @t79)) % 0.41/0.61 (define @t109 () (not @t103)) % 0.41/0.61 (define @t110 () (forall @t6 (or @t109 @t104))) % 0.41/0.61 (define @t111 () (@quantifiers_skolemize @t110 0)) % 0.41/0.61 (define @t112 () (tptp.member @t111 @t79)) % 0.41/0.61 (define @t113 () (tptp.member @t111 @t81)) % 0.41/0.61 (define @t114 () (not @t112)) % 0.41/0.61 (define @t115 () (or @t114 @t113)) % 0.41/0.61 (define @t116 () (tptp.apply @t74 @t78 @t111)) % 0.41/0.61 (define @t117 () (tptp.member @t111 @t75)) % 0.41/0.61 (define @t118 () (and @t117 @t116)) % 0.41/0.61 (define @t119 () (= @t112 @t118)) % 0.41/0.61 (define @t120 () (tptp.apply @t74 @t80 @t111)) % 0.41/0.61 (define @t121 () (and @t117 @t120)) % 0.41/0.61 (define @t122 () (= @t113 @t121)) % 0.41/0.61 (define @t123 () (not @t118)) % 0.41/0.61 (define @t124 () (forall @t6 (or @t105 @t109))) % 0.41/0.61 (define @t125 () (@quantifiers_skolemize @t124 0)) % 0.41/0.61 (define @t126 () (forall @t6 (not @t13))) % 0.41/0.61 (define @t127 () (not @t126)) % 0.41/0.61 (define @t128 () (= @t82 @t124)) % 0.41/0.61 (define @t129 () (not @t124)) % 0.41/0.61 (define @t130 () (@list true false)) % 0.41/0.61 (define @t131 () (tptp.member @t125 @t81)) % 0.41/0.61 (define @t132 () (tptp.member @t125 @t79)) % 0.41/0.61 (define @t133 () (not @t132)) % 0.41/0.61 (define @t134 () (not @t131)) % 0.41/0.61 (define @t135 () (or @t134 @t133)) % 0.41/0.61 (define @t136 () (@list @t135)) % 0.41/0.61 (define @t137 () (tptp.apply @t74 @t80 @t125)) % 0.41/0.61 (define @t138 () (tptp.member @t125 @t75)) % 0.41/0.61 (define @t139 () (and @t138 @t137)) % 0.41/0.61 (define @t140 () (= @t131 @t139)) % 0.41/0.61 (define @t141 () (not @t139)) % 0.41/0.61 (define @t142 () (@list @t139)) % 0.41/0.61 (define @t143 () (tptp.apply @t74 @t78 @t125)) % 0.41/0.61 (define @t144 () (and @t138 @t143)) % 0.41/0.61 (define @t145 () (= @t132 @t144)) % 0.41/0.61 (define @t146 () (tptp.apply @t74 @t125 @t78)) % 0.41/0.61 (define @t147 () (not @t143)) % 0.41/0.61 (define @t148 () (not @t138)) % 0.41/0.61 (define @t149 () (or @t85 @t148 @t147 @t146)) % 0.41/0.61 (define @t150 () (@list false false false false)) % 0.41/0.61 (define @t151 () (tptp.apply @t74 @t125 @t111)) % 0.41/0.61 (define @t152 () (not @t116)) % 0.41/0.61 (define @t153 () (not @t146)) % 0.41/0.61 (define @t154 () (not @t117)) % 0.41/0.61 (define @t155 () (or @t148 @t85 @t154 @t153 @t152 @t151)) % 0.41/0.61 (define @t156 () (not @t151)) % 0.41/0.61 (define @t157 () (not @t137)) % 0.41/0.61 (define @t158 () (or @t87 @t148 @t154 @t157 @t156 @t120)) % 0.41/0.61 (define @t159 () (not @t115)) % 0.41/0.61 (define @t160 () (not @t110)) % 0.41/0.61 (define @t161 () (tptp.subset @t79 @t81)) % 0.41/0.61 (define @t162 () (= @t161 @t110)) % 0.41/0.61 (define @t163 () (tptp.subset @t81 @t79)) % 0.41/0.61 (define @t164 () (and @t163 @t161)) % 0.41/0.61 (define @t165 () (= @t83 @t164)) % 0.41/0.61 (define @t166 () (not @t164)) % 0.41/0.61 (define @t167 () (= @t163 @t106)) % 0.41/0.61 (define @t168 () (not @t106)) % 0.41/0.61 (define @t169 () (tptp.member @t107 @t79)) % 0.41/0.61 (define @t170 () (tptp.member @t107 @t81)) % 0.41/0.61 (define @t171 () (not @t170)) % 0.41/0.61 (define @t172 () (or @t171 @t169)) % 0.41/0.61 (define @t173 () (not @t172)) % 0.41/0.61 (define @t174 () (@list @t172)) % 0.41/0.61 (define @t175 () (tptp.apply @t74 @t80 @t107)) % 0.41/0.61 (define @t176 () (tptp.member @t107 @t75)) % 0.41/0.61 (define @t177 () (and @t176 @t175)) % 0.41/0.61 (define @t178 () (= @t170 @t177)) % 0.41/0.61 (define @t179 () (not @t177)) % 0.41/0.61 (define @t180 () (@list @t177)) % 0.41/0.61 (define @t181 () (tptp.apply @t74 @t107 @t80)) % 0.41/0.61 (define @t182 () (not @t175)) % 0.41/0.61 (define @t183 () (not @t176)) % 0.41/0.61 (define @t184 () (or @t87 @t183 @t182 @t181)) % 0.41/0.61 (define @t185 () (tptp.apply @t74 @t78 @t107)) % 0.41/0.61 (define @t186 () (and @t176 @t185)) % 0.41/0.61 (define @t187 () (= @t169 @t186)) % 0.41/0.61 (define @t188 () (not @t186)) % 0.41/0.61 (define @t189 () (tptp.apply @t74 @t107 @t78)) % 0.41/0.61 (define @t190 () (not @t189)) % 0.41/0.61 (define @t191 () (or @t183 @t85 @t190 @t185)) % 0.41/0.61 (define @t192 () (tptp.apply @t74 @t80 @t78)) % 0.41/0.61 (define @t193 () (or @t87 @t148 @t85 @t157 @t153 @t192)) % 0.41/0.61 (define @t194 () (not @t192)) % 0.41/0.61 (define @t195 () (not @t181)) % 0.41/0.61 (define @t196 () (or @t183 @t87 @t85 @t195 @t194 @t189)) % 0.41/0.61 (define @t197 () (not @t196)) % 0.41/0.61 (assume @p1 @t11) % 0.41/0.61 (assume @p2 (forall @t10 (= (tptp.equal_set @t4 @t1) (and @t8 (tptp.subset @t1 @t4))))) % 0.41/0.61 (assume @p3 (forall @t12 (= (tptp.member @t2 (tptp.power_set @t4)) (tptp.subset @t2 @t4)))) % 0.41/0.61 (assume @p4 (forall @t14 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) @t13))) % 0.41/0.61 (assume @p5 (forall @t14 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 0.41/0.61 (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 0.41/0.61 (assume @p7 (forall (@list @t1 @t4 @t15) (= (tptp.member @t1 (tptp.difference @t15 @t4)) (and @t16 (not (tptp.member @t1 @t4)))))) % 0.41/0.61 (assume @p8 (forall @t12 (= (tptp.member @t2 (tptp.singleton @t4)) @t17))) % 0.41/0.61 (assume @p9 (forall @t14 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t17 (= @t2 @t1))))) % 0.41/0.61 (assume @p10 (forall @t12 (= (tptp.member @t2 (tptp.sum @t4)) @t22))) % 0.41/0.61 (assume @p11 (forall @t12 (= (tptp.member @t2 (tptp.product @t4)) (forall @t21 (=> @t20 @t19))))) % 0.41/0.61 (assume @p12 @t27) % 0.41/0.61 (assume @p13 (forall (@list @t4 @t15) (= (tptp.partition @t4 @t15) (and (forall @t6 (=> @t5 (tptp.subset @t2 @t15))) (forall @t6 (=> @t31 @t22)) (forall @t30 (=> @t29 (=> (exists (@list @t28) (and (tptp.member @t28 @t2) (tptp.member @t28 @t18))) (= @t2 @t18)))))))) % 0.41/0.61 (assume @p14 @t50) % 0.41/0.61 (assume @p15 (forall (@list @t32 @t15 @t4 @t2) (= (tptp.member @t2 @t51) (and @t31 (tptp.apply @t32 @t4 @t2))))) % 0.41/0.61 (assume @p16 (forall (@list @t32 @t15) (= (tptp.pre_order @t32 @t15) (and (forall @t6 (=> @t31 @t45)) (forall @t40 (=> (and @t31 (tptp.member @t18 @t15) (tptp.member @t28 @t15)) @t37)))))) % 0.41/0.61 (assume @p17 @t61) % 0.41/0.61 (assume @p18 true) % 0.41/0.61 (step @p19 :rule aci_norm :args ((= (or @t68 @t67) (or @t66 @t65 @t64 @t63 @t62 @t33)))) % 0.41/0.61 (step @p20 :rule aci_norm :args ((= (or (or @t63 @t62) @t33) @t67))) % 0.41/0.61 (step @p21 :rule refl :args (@t33)) % 0.41/0.61 (step @p22 :rule bool-and-de-morgan :args (@t35 @t34 true)) % 0.41/0.61 (step @p23 :rule nary_cong :premises (@p22 @p21) :args ((or (not @t36) @t33))) % 0.41/0.61 (step @p24 :rule trans :premises (@p23 @p20)) % 0.41/0.61 (step @p25 :rule bool-impl-elim :args (@t36 @t33)) % 0.41/0.61 (step @p26 :rule trans :premises (@p25 @p24)) % 0.41/0.61 (step @p27 :rule aci_norm :args ((= (or @t66 (or @t65 @t64)) @t68))) % 0.41/0.61 (step @p28 :rule bool-and-de-morgan :args (@t20 @t38 true)) % 0.41/0.61 (step @p29 :rule refl :args (@t66)) % 0.41/0.61 (step @p30 :rule nary_cong :premises (@p29 @p28) :args ((or @t66 (not (and @t20 @t38))))) % 0.41/0.61 (step @p31 :rule bool-and-de-morgan :args (@t5 @t20 (and @t38))) % 0.41/0.61 (step @p32 :rule trans :premises (@p31 @p30)) % 0.41/0.61 (step @p33 :rule trans :premises (@p32 @p27)) % 0.41/0.61 (step @p34 :rule nary_cong :premises (@p33 @p26) :args ((or (not @t39) @t37))) % 0.41/0.61 (step @p35 :rule trans :premises (@p34 @p19)) % 0.41/0.61 (step @p36 :rule bool-impl-elim :args (@t39 @t37)) % 0.41/0.61 (step @p37 :rule trans :premises (@p36 @p35)) % 0.41/0.61 (step @p38 :rule cong :premises (@p37) :args (@t41)) % 0.41/0.61 (step @p39 :rule aci_norm :args ((= (or (or @t66 @t65) (or @t63 @t42)) (or @t66 @t65 @t63 @t42)))) % 0.41/0.61 (step @p40 :rule bool-impl-elim :args (@t35 @t42)) % 0.41/0.61 (step @p41 :rule bool-and-de-morgan :args (@t5 @t20 true)) % 0.41/0.61 (step @p42 :rule nary_cong :premises (@p41 @p40) :args ((or (not @t29) @t43))) % 0.41/0.61 (step @p43 :rule trans :premises (@p42 @p39)) % 0.41/0.61 (step @p44 :rule bool-impl-elim :args (@t29 @t43)) % 0.41/0.61 (step @p45 :rule trans :premises (@p44 @p43)) % 0.41/0.61 (step @p46 :rule cong :premises (@p45) 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0)) % 0.41/0.61 (step @p226 :rule eq_resolve :premises (@p225 @p224)) % 0.41/0.61 (step @p227 :rule reordering :premises (@p226) :args ((or @t170 @t172))) % 0.41/0.61 (step @p228 :rule chain_m_resolution :premises (@p227 @p221) :args (@t170 @t90 @t174)) % 0.41/0.61 (step @p229 :rule cnf_equiv_pos1 :args (@t178)) % 0.41/0.61 (step @p230 :rule reordering :premises (@p229) :args ((or @t171 @t177 (not @t178)))) % 0.41/0.61 (step @p231 :rule chain_m_resolution :premises (@p230 @p228 @p89) :args (@t177 @t99 (@list @t170 @t178))) % 0.41/0.61 (step @p232 :rule cnf_and_pos :args (@t177 1)) % 0.41/0.61 (step @p233 :rule reordering :premises (@p232) :args ((or @t175 @t179))) % 0.41/0.61 (step @p234 :rule chain_m_resolution :premises (@p233 @p231) :args (@t175 @t101 @t180)) % 0.41/0.61 (step @p235 :rule cnf_and_pos :args (@t177 0)) % 0.41/0.61 (step @p236 :rule reordering :premises (@p235) :args ((or @t176 @t179))) % 0.41/0.61 (step @p237 :rule chain_m_resolution :premises (@p236 @p231) :args (@t176 @t101 @t180)) % 0.41/0.61 (step @p238 :rule cnf_or_pos :args (@t184)) % 0.41/0.61 (step @p239 :rule reordering :premises (@p238) :args ((or @t87 @t183 @t182 @t181 (not @t184)))) % 0.41/0.61 (step @p240 :rule chain_m_resolution :premises (@p239 @p180 @p237 @p234 @p88) :args (@t181 @t150 (@list @t86 @t176 @t175 @t184))) % 0.41/0.61 (step @p241 :rule instantiate :premises (@p87) :args ((@list @t107 @t78))) % 0.41/0.61 (step @p242 :rule instantiate :premises (@p15) :args ((@list @t74 @t75 @t78 @t107))) % 0.41/0.61 (step @p243 :rule cnf_or_neg :args (@t172 1)) % 0.41/0.61 (step @p244 :rule chain_m_resolution :premises (@p243 @p221) :args ((not @t169) @t90 @t174)) % 0.41/0.61 (step @p245 :rule cnf_equiv_pos2 :args (@t187)) % 0.41/0.61 (step @p246 :rule reordering :premises (@p245) :args ((or @t169 @t188 (not @t187)))) % 0.41/0.61 (step @p247 :rule chain_m_resolution :premises (@p246 @p244 @p242) :args (@t188 @t130 (@list @t169 @t187))) % 0.41/0.61 (step @p248 :rule cnf_and_neg :args (@t186)) % 0.41/0.61 (step @p249 :rule chain_m_resolution :premises (@p248 @p247 @p237) :args ((not @t185) @t130 (@list @t186 @t176))) % 0.41/0.61 (step @p250 :rule cnf_or_pos :args (@t191)) % 0.41/0.61 (step @p251 :rule reordering :premises (@p250) :args ((or @t85 @t185 @t183 @t190 (not @t191)))) % 0.41/0.61 (step @p252 :rule chain_m_resolution :premises (@p251 @p121 @p249 @p237 @p241) :args (@t190 (@list false true false false) (@list @t84 @t185 @t176 @t191))) % 0.41/0.61 (step @p253 :rule instantiate :premises (@p84) :args ((@list @t80 @t125 @t78))) % 0.41/0.61 (step @p254 :rule cnf_or_pos :args (@t193)) % 0.41/0.61 (step @p255 :rule reordering :premises (@p254) :args ((or @t87 @t85 @t148 @t157 @t192 @t153 (not @t193)))) % 0.41/0.61 (step @p256 :rule chain_m_resolution :premises (@p255 @p180 @p121 @p154 @p183 @p171 @p253) :args (@t192 (@list false false false false false false) (@list @t86 @t84 @t138 @t137 @t146 @t193))) % 0.41/0.61 (step @p257 :rule cnf_or_pos :args (@t196)) % 0.41/0.61 (step @p258 :rule reordering :premises (@p257) :args ((or @t87 @t85 @t194 @t183 @t189 @t195 @t197))) % 0.41/0.61 (step @p259 :rule chain_m_resolution :premises (@p258 @p180 @p121 @p256 @p237 @p252 @p240) :args (@t197 (@list false false false false true false) (@list @t86 @t84 @t192 @t176 @t189 @t181))) % 0.41/0.61 (assume-push @p270 @t95) % 0.41/0.61 (step @p261 :rule instantiate :premises (@p84) :args ((@list @t107 @t80 @t78))) % 0.41/0.61 (step-pop @p271 :rule scope :premises (@p261)) % 0.41/0.61 (step @p262 :rule process_scope :premises (@p271) :args (@t196)) % 0.41/0.61 (step @p264 :rule implies_elim :premises (@p262)) % 0.41/0.61 (step @p265 false :rule chain_m_resolution :premises (@p264 @p259 @p84) :args (false @t130 (@list @t196 @t95))) % 0.41/0.61 ) % 0.41/0.61 % SZS output end Proof % 0.41/0.61 % cvc5 exiting %------------------------------------------------------------------------------