%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU292+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 : n006.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 08:51:16 AM UTC 2026 % Result : Theorem 0.37s 0.62s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU292+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n006.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 16:53:34 EDT 2026 % 0.15/0.34 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.62 % SZS status Theorem % 0.37/0.62 % SZS output start Proof % 0.37/0.62 ( % 0.37/0.62 (declare-sort $$unsorted 0) % 0.37/0.62 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.function (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.empty_set $$unsorted) % 0.37/0.62 (declare-const tptp.relation_dom_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.62 (define @t1 () (@var "A" $$unsorted)) % 0.37/0.62 (define @t2 () (@var "B" $$unsorted)) % 0.37/0.62 (define @t3 () (tptp.in @t1 @t2)) % 0.37/0.62 (define @t4 () (@list @t1 @t2)) % 0.37/0.62 (define @t5 () (tptp.function @t1)) % 0.37/0.62 (define @t6 () (tptp.empty @t1)) % 0.37/0.62 (define @t7 () (@list @t1)) % 0.37/0.62 (define @t8 () (tptp.relation @t1)) % 0.37/0.62 (define @t9 () (@var "C" $$unsorted)) % 0.37/0.62 (define @t10 () (tptp.relation @t9)) % 0.37/0.62 (define @t11 () (tptp.cartesian_product2 @t1 @t2)) % 0.37/0.62 (define @t12 () (tptp.element @t9 (tptp.powerset @t11))) % 0.37/0.62 (define @t13 () (@list @t1 @t2 @t9)) % 0.37/0.62 (define @t14 () (forall @t13 (=> @t12 @t10))) % 0.37/0.62 (define @t15 () (tptp.one_to_one @t1)) % 0.37/0.62 (define @t16 () (and @t8 @t5 @t15)) % 0.37/0.62 (define @t17 () (and @t8 @t6 @t5)) % 0.37/0.62 (define @t18 () (tptp.quasi_total @t9 @t1 @t2)) % 0.37/0.62 (define @t19 () (= @t18 (= @t9 tptp.empty_set))) % 0.37/0.62 (define @t20 () (= @t1 tptp.empty_set)) % 0.37/0.62 (define @t21 () (or @t20 @t19)) % 0.37/0.62 (define @t22 () (= @t2 tptp.empty_set)) % 0.37/0.62 (define @t23 () (tptp.relation_dom_as_subset @t1 @t2 @t9)) % 0.37/0.62 (define @t24 () (= @t18 (= @t1 @t23))) % 0.37/0.62 (define @t25 () (=> @t22 @t20)) % 0.37/0.62 (define @t26 () (and (=> @t25 @t24) (=> @t22 @t21))) % 0.37/0.62 (define @t27 () (tptp.relation_of2_as_subset @t9 @t1 @t2)) % 0.37/0.62 (define @t28 () (forall @t13 (=> @t27 @t26))) % 0.37/0.62 (define @t29 () (tptp.powerset @t1)) % 0.37/0.62 (define @t30 () (tptp.relation_of2 @t9 @t1 @t2)) % 0.37/0.62 (define @t31 () (tptp.relation_composition @t1 @t2)) % 0.37/0.62 (define @t32 () (tptp.relation @t31)) % 0.37/0.62 (define @t33 () (tptp.relation @t2)) % 0.37/0.62 (define @t34 () (forall @t13 (=> @t27 @t12))) % 0.37/0.62 (define @t35 () (@list @t9)) % 0.37/0.62 (define @t36 () (@list @t2)) % 0.37/0.62 (define @t37 () (tptp.relation_composition @t2 @t1)) % 0.37/0.62 (define @t38 () (and @t6 @t33)) % 0.37/0.62 (define @t39 () (tptp.relation tptp.empty_set)) % 0.37/0.62 (define @t40 () (tptp.empty tptp.empty_set)) % 0.37/0.62 (define @t41 () (tptp.function @t2)) % 0.37/0.62 (define @t42 () (tptp.empty @t2)) % 0.37/0.62 (define @t43 () (not @t42)) % 0.37/0.62 (define @t44 () (not @t6)) % 0.37/0.62 (define @t45 () (tptp.relation_dom @t1)) % 0.37/0.62 (define @t46 () (tptp.empty @t45)) % 0.37/0.62 (define @t47 () (and @t44 @t8)) % 0.37/0.62 (define @t48 () (tptp.function @t9)) % 0.37/0.62 (define @t49 () (tptp.element @t2 @t29)) % 0.37/0.62 (define @t50 () (tptp.relation_empty_yielding @t1)) % 0.37/0.62 (define @t51 () (= @t23 (tptp.relation_dom @t9))) % 0.37/0.62 (define @t52 () (forall @t13 (=> @t30 @t51))) % 0.37/0.62 (define @t53 () (tptp.element @t1 @t2)) % 0.37/0.62 (define @t54 () (@var "D" $$unsorted)) % 0.37/0.62 (define @t55 () (tptp.apply @t54 @t9)) % 0.37/0.62 (define @t56 () (@var "E" $$unsorted)) % 0.37/0.62 (define @t57 () (= (tptp.apply (tptp.relation_composition @t54 @t56) @t9) (tptp.apply @t56 @t55))) % 0.37/0.62 (define @t58 () (or @t22 @t57)) % 0.37/0.62 (define @t59 () (tptp.in @t9 @t1)) % 0.37/0.62 (define @t60 () (=> @t59 @t58)) % 0.37/0.62 (define @t61 () (tptp.function @t56)) % 0.37/0.62 (define @t62 () (tptp.relation @t56)) % 0.37/0.62 (define @t63 () (and @t62 @t61)) % 0.37/0.62 (define @t64 () (@list @t56)) % 0.37/0.62 (define @t65 () (forall @t64 (=> @t63 @t60))) % 0.37/0.62 (define @t66 () (tptp.relation_of2_as_subset @t54 @t1 @t2)) % 0.37/0.62 (define @t67 () (tptp.quasi_total @t54 @t1 @t2)) % 0.37/0.62 (define @t68 () (tptp.function @t54)) % 0.37/0.62 (define @t69 () (and @t68 @t67 @t66)) % 0.37/0.62 (define @t70 () (=> @t69 @t65)) % 0.37/0.62 (define @t71 () (@list @t1 @t2 @t9 @t54)) % 0.37/0.62 (define @t72 () (forall @t71 @t70)) % 0.37/0.62 (define @t73 () (not @t72)) % 0.37/0.62 (define @t74 () (tptp.apply @t2 @t1)) % 0.37/0.62 (define @t75 () (= (tptp.apply (tptp.relation_composition @t2 @t9) @t1) (tptp.apply @t9 @t74))) % 0.37/0.62 (define @t76 () (tptp.in @t1 (tptp.relation_dom @t2))) % 0.37/0.62 (define @t77 () (=> @t76 @t75)) % 0.37/0.62 (define @t78 () (and @t10 @t48)) % 0.37/0.62 (define @t79 () (forall @t35 (=> @t78 @t77))) % 0.37/0.62 (define @t80 () (and @t33 @t41)) % 0.37/0.62 (define @t81 () (=> @t80 @t79)) % 0.37/0.62 (define @t82 () (forall @t4 @t81)) % 0.37/0.62 (define @t83 () (tptp.element @t2 (tptp.powerset @t9))) % 0.37/0.62 (define @t84 () (@var "BOUND_VARIABLE_7864" $$unsorted)) % 0.37/0.62 (define @t85 () (= (tptp.apply (tptp.relation_composition @t54 @t84) @t9) (tptp.apply @t84 @t55))) % 0.37/0.62 (define @t86 () (not (tptp.function @t84))) % 0.37/0.62 (define @t87 () (not (tptp.relation @t84))) % 0.37/0.62 (define @t88 () (not @t59)) % 0.37/0.62 (define @t89 () (not @t66)) % 0.37/0.62 (define @t90 () (not @t67)) % 0.37/0.62 (define @t91 () (not @t68)) % 0.37/0.62 (define @t92 () (or @t91 @t90 @t89 @t88 @t22 @t87 @t86 @t85)) % 0.37/0.62 (define @t93 () (or @t87 @t86 @t85)) % 0.37/0.62 (define @t94 () (or @t91 @t90 @t89 @t88 @t22 @t93)) % 0.37/0.62 (define @t95 () (@list @t1 @t2 @t9 @t54 @t84)) % 0.37/0.62 (define @t96 () (forall @t95 @t94)) % 0.37/0.62 (define @t97 () (@list @t84)) % 0.37/0.62 (define @t98 () (forall @t97 @t94)) % 0.37/0.62 (define @t99 () (forall @t97 @t93)) % 0.37/0.62 (define @t100 () (or @t91 @t90 @t89 @t88 @t22 @t99)) % 0.37/0.62 (define @t101 () (not @t61)) % 0.37/0.62 (define @t102 () (not @t62)) % 0.37/0.62 (define @t103 () (or @t102 @t101 @t57)) % 0.37/0.62 (define @t104 () (forall @t64 @t103)) % 0.37/0.62 (define @t105 () (or @t91 @t90 @t89 @t88 @t22 @t104)) % 0.37/0.62 (define @t106 () (or @t88 @t22 @t104)) % 0.37/0.62 (define @t107 () (or @t91 @t90 @t89)) % 0.37/0.62 (define @t108 () (or @t88 @t22 @t103)) % 0.37/0.62 (define @t109 () (or @t102 @t101 @t88 @t22 @t57)) % 0.37/0.62 (define @t110 () (or @t88 @t22 @t57)) % 0.37/0.62 (define @t111 () (forall @t95 @t92)) % 0.37/0.62 (define @t112 () (@quantifiers_skolemize @t111 2)) % 0.37/0.62 (define @t113 () (@quantifiers_skolemize @t111 3)) % 0.37/0.62 (define @t114 () (@quantifiers_skolemize @t111 4)) % 0.37/0.62 (define @t115 () (= (tptp.apply (tptp.relation_composition @t113 @t114) @t112) (tptp.apply @t114 (tptp.apply @t113 @t112)))) % 0.37/0.62 (define @t116 () (tptp.function @t114)) % 0.37/0.62 (define @t117 () (not @t116)) % 0.37/0.62 (define @t118 () (tptp.relation @t114)) % 0.37/0.62 (define @t119 () (not @t118)) % 0.37/0.62 (define @t120 () (@quantifiers_skolemize @t111 1)) % 0.37/0.62 (define @t121 () (= tptp.empty_set @t120)) % 0.37/0.62 (define @t122 () (@quantifiers_skolemize @t111 0)) % 0.37/0.62 (define @t123 () (tptp.in @t112 @t122)) % 0.37/0.62 (define @t124 () (not @t123)) % 0.37/0.62 (define @t125 () (tptp.relation_of2_as_subset @t113 @t122 @t120)) % 0.37/0.62 (define @t126 () (not @t125)) % 0.37/0.62 (define @t127 () (tptp.quasi_total @t113 @t122 @t120)) % 0.37/0.62 (define @t128 () (not @t127)) % 0.37/0.62 (define @t129 () (tptp.function @t113)) % 0.37/0.62 (define @t130 () (not @t129)) % 0.37/0.62 (define @t131 () (or @t130 @t128 @t126 @t124 @t121 @t119 @t117 @t115)) % 0.37/0.62 (define @t132 () (not @t131)) % 0.37/0.62 (define @t133 () (not @t111)) % 0.37/0.62 (define @t134 () (= @t120 tptp.empty_set)) % 0.37/0.62 (define @t135 () (or @t130 @t128 @t126 @t124 @t134 @t119 @t117 @t115)) % 0.37/0.62 (define @t136 () (not @t135)) % 0.37/0.62 (define @t137 () (@list true)) % 0.37/0.62 (define @t138 () (@list @t131)) % 0.37/0.62 (define @t139 () (not @t22)) % 0.37/0.62 (define @t140 () (or @t139 @t20 @t19)) % 0.37/0.62 (define @t141 () (not @t27)) % 0.37/0.62 (define @t142 () (= @t127 (= @t113 tptp.empty_set))) % 0.37/0.62 (define @t143 () (not @t134)) % 0.37/0.62 (define @t144 () (= @t122 tptp.empty_set)) % 0.37/0.62 (define @t145 () (or @t143 @t144 @t142)) % 0.37/0.62 (define @t146 () (tptp.relation_dom_as_subset @t122 @t120 @t113)) % 0.37/0.62 (define @t147 () (= @t122 @t146)) % 0.37/0.62 (define @t148 () (= @t127 @t147)) % 0.37/0.62 (define @t149 () (not @t144)) % 0.37/0.62 (define @t150 () (and @t134 @t149)) % 0.37/0.62 (define @t151 () (or @t150 @t148)) % 0.37/0.62 (define @t152 () (and @t151 @t145)) % 0.37/0.62 (define @t153 () (or @t126 @t152)) % 0.37/0.62 (define @t154 () (forall @t13 (or @t141 (and (or (and @t22 (not @t20)) @t24) @t140)))) % 0.37/0.62 (define @t155 () (@list @t122 @t120 @t113)) % 0.37/0.62 (define @t156 () (= tptp.empty_set @t122)) % 0.37/0.62 (define @t157 () (not @t121)) % 0.37/0.62 (define @t158 () (and @t121 (not @t156))) % 0.37/0.62 (define @t159 () (or @t158 @t148)) % 0.37/0.62 (define @t160 () (and @t159 (or @t157 @t156 (= @t127 (= tptp.empty_set @t113))))) % 0.37/0.62 (define @t161 () (or @t126 @t160)) % 0.37/0.62 (define @t162 () (@list false)) % 0.37/0.62 (define @t163 () (@list false false)) % 0.37/0.62 (define @t164 () (not @t158)) % 0.37/0.62 (define @t165 () (tptp.relation_of2 @t113 @t122 @t120)) % 0.37/0.62 (define @t166 () (= @t125 @t165)) % 0.37/0.62 (define @t167 () (tptp.relation_dom @t113)) % 0.37/0.62 (define @t168 () (= @t146 @t167)) % 0.37/0.62 (define @t169 () (not @t165)) % 0.37/0.62 (define @t170 () (or @t169 @t168)) % 0.37/0.62 (define @t171 () (@var "BOUND_VARIABLE_7897" $$unsorted)) % 0.37/0.62 (define @t172 () (= (tptp.apply (tptp.relation_composition @t2 @t171) @t1) (tptp.apply @t171 @t74))) % 0.37/0.62 (define @t173 () (not (tptp.function @t171))) % 0.37/0.62 (define @t174 () (not (tptp.relation @t171))) % 0.37/0.62 (define @t175 () (not @t76)) % 0.37/0.62 (define @t176 () (not @t41)) % 0.37/0.62 (define @t177 () (not @t33)) % 0.37/0.62 (define @t178 () (or @t174 @t173 @t172)) % 0.37/0.62 (define @t179 () (or @t177 @t176 @t175 @t178)) % 0.37/0.62 (define @t180 () (forall (@list @t1 @t2 @t171) @t179)) % 0.37/0.62 (define @t181 () (@list @t171)) % 0.37/0.62 (define @t182 () (forall @t181 @t179)) % 0.37/0.62 (define @t183 () (forall @t181 @t178)) % 0.37/0.62 (define @t184 () (or @t177 @t176 @t175 @t183)) % 0.37/0.62 (define @t185 () (not @t48)) % 0.37/0.62 (define @t186 () (not @t10)) % 0.37/0.62 (define @t187 () (or @t186 @t185 @t75)) % 0.37/0.62 (define @t188 () (forall @t35 @t187)) % 0.37/0.62 (define @t189 () (or @t177 @t176 @t175 @t188)) % 0.37/0.62 (define @t190 () (or @t175 @t188)) % 0.37/0.62 (define @t191 () (or @t175 @t187)) % 0.37/0.62 (define @t192 () (or @t186 @t185 @t175 @t75)) % 0.37/0.62 (define @t193 () (tptp.element @t113 (tptp.powerset (tptp.cartesian_product2 @t122 @t120)))) % 0.37/0.62 (define @t194 () (or @t126 @t193)) % 0.37/0.62 (define @t195 () (tptp.relation @t113)) % 0.37/0.62 (define @t196 () (not @t193)) % 0.37/0.62 (define @t197 () (or @t196 @t195)) % 0.37/0.62 (define @t198 () (tptp.in @t112 @t167)) % 0.37/0.62 (define @t199 () (not @t198)) % 0.37/0.62 (define @t200 () (not @t195)) % 0.37/0.62 (define @t201 () (or @t200 @t130 @t199 @t119 @t117 @t115)) % 0.37/0.62 (define @t202 () (and @t123 @t147 @t168)) % 0.37/0.62 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.37/0.62 (assume @p2 (forall @t7 (=> @t6 @t5))) % 0.37/0.62 (assume @p3 (forall @t7 (=> @t6 @t8))) % 0.37/0.62 (assume @p4 @t14) % 0.37/0.62 (assume @p5 (forall @t7 (=> @t17 @t16))) % 0.37/0.62 (assume @p6 @t28) % 0.37/0.62 (assume @p7 true) % 0.37/0.62 (assume @p8 (forall @t13 (=> @t30 (tptp.element @t23 @t29)))) % 0.37/0.62 (assume @p9 (forall @t4 (=> (and @t8 @t33) @t32))) % 0.37/0.62 (assume @p10 @t34) % 0.37/0.62 (assume @p11 (forall @t4 (exists @t35 @t30))) % 0.37/0.62 (assume @p12 (forall @t7 (exists @t36 (tptp.element @t2 @t1)))) % 0.37/0.62 (assume @p13 (forall @t4 (exists @t35 @t27))) % 0.37/0.62 (assume @p14 (forall @t4 (=> @t38 (and (tptp.empty @t37) (tptp.relation @t37))))) % 0.37/0.62 (assume @p15 (and @t40 @t39 (tptp.relation_empty_yielding tptp.empty_set))) % 0.37/0.62 (assume @p16 (forall @t4 (=> (and @t8 @t5 @t33 @t41) (and @t32 (tptp.function @t31))))) % 0.37/0.62 (assume @p17 (forall @t7 (not (tptp.empty @t29)))) % 0.37/0.62 (assume @p18 @t40) % 0.37/0.62 (assume @p19 (and @t40 @t39)) % 0.37/0.62 (assume @p20 (forall @t4 (=> (and @t44 @t43) (not (tptp.empty @t11))))) % 0.37/0.62 (assume @p21 (forall @t7 (=> @t47 (not @t46)))) % 0.37/0.62 (assume @p22 (forall @t7 (=> @t6 (and @t46 (tptp.relation @t45))))) % 0.37/0.62 (assume @p23 (forall @t4 (=> @t38 (and (tptp.empty @t31) @t32)))) % 0.37/0.62 (assume @p24 (exists @t7 (and @t8 @t5))) % 0.37/0.62 (assume @p25 (forall @t4 (exists @t35 (and @t30 @t10 @t48 @t18)))) % 0.37/0.62 (assume @p26 (exists @t7 (and @t8 @t5 @t15 @t6))) % 0.37/0.62 (assume @p27 (exists @t7 (and @t6 @t8))) % 0.37/0.62 (assume @p28 (forall @t7 (=> @t44 (exists @t36 (and @t49 @t43))))) % 0.37/0.62 (assume @p29 (exists @t7 @t6)) % 0.37/0.62 (assume @p30 (exists @t7 @t17)) % 0.37/0.62 (assume @p31 (forall @t4 (exists @t35 (and @t30 @t10 @t48)))) % 0.37/0.62 (assume @p32 (exists @t7 @t47)) % 0.37/0.62 (assume @p33 (forall @t7 (exists @t36 (and @t49 @t42)))) % 0.37/0.62 (assume @p34 (exists @t7 @t44)) % 0.37/0.62 (assume @p35 (exists @t7 @t16)) % 0.37/0.62 (assume @p36 (exists @t7 (and @t8 @t50))) % 0.37/0.62 (assume @p37 (exists @t7 (and @t8 @t50 @t5))) % 0.37/0.62 (assume @p38 @t52) % 0.37/0.62 (assume @p39 (forall @t13 (= @t27 @t30))) % 0.37/0.62 (assume @p40 (forall @t4 (tptp.subset @t1 @t1))) % 0.37/0.62 (assume @p41 (forall @t4 (=> @t3 @t53))) % 0.37/0.62 (assume @p42 @t73) % 0.37/0.62 (assume @p43 @t82) % 0.37/0.62 (assume @p44 (forall @t4 (=> @t53 (or @t42 @t3)))) % 0.37/0.62 (assume @p45 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 0.37/0.62 (assume @p46 (forall @t13 (=> (and @t3 @t83) (tptp.element @t1 @t9)))) % 0.37/0.62 (assume @p47 (forall @t13 (not (and @t3 @t83 (tptp.empty @t9))))) % 0.37/0.62 (assume @p48 (forall @t7 (=> @t6 @t20))) % 0.37/0.62 (assume @p49 (forall @t4 (not 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(@p270 @p124) :args (@t116 @t137 @t138)) % 0.37/0.62 (step @p272 :rule bool-double-not-elim :args (@t118)) % 0.37/0.62 (step @p273 :rule nary_cong :premises (@p126 @p272) :args ((or @t131 (not @t119)))) % 0.37/0.62 (step @p274 :rule cnf_or_neg :args (@t131 5)) % 0.37/0.62 (step @p275 :rule eq_resolve :premises (@p274 @p273)) % 0.37/0.62 (step @p276 :rule reordering :premises (@p275) :args ((or @t118 @t131))) % 0.37/0.62 (step @p277 :rule chain_m_resolution :premises (@p276 @p124) :args (@t118 @t137 @t138)) % 0.37/0.62 (step @p278 :rule bool-double-not-elim :args (@t129)) % 0.37/0.62 (step @p279 :rule nary_cong :premises (@p126 @p278) :args ((or @t131 (not @t130)))) % 0.37/0.62 (step @p280 :rule cnf_or_neg :args (@t131 0)) % 0.37/0.62 (step @p281 :rule eq_resolve :premises (@p280 @p279)) % 0.37/0.62 (step @p282 :rule reordering :premises (@p281) :args ((or @t129 @t131))) % 0.37/0.62 (step @p283 :rule chain_m_resolution :premises (@p282 @p124) :args (@t129 @t137 @t138)) % 0.37/0.62 (step @p284 :rule cnf_or_pos :args (@t201)) % 0.37/0.62 (step @p285 :rule reordering :premises (@p284) :args ((or @t130 @t119 @t117 @t115 @t200 @t199 (not @t201)))) % 0.37/0.62 (step @p286 :rule chain_m_resolution :premises (@p285 @p283 @p277 @p271 @p265 @p263 @p249) :args (@t199 (@list false false false true false false) (@list @t129 @t118 @t116 @t115 @t195 @t201))) % 0.37/0.62 (assume-push @p311 @t123) % 0.37/0.62 (assume-push @p312 @t147) % 0.37/0.62 (assume-push @p313 @t168) % 0.37/0.62 (step @p290 :rule true_intro :premises (@p131)) % 0.37/0.62 (step @p291 :rule symm :premises (@p196)) % 0.37/0.62 (step @p292 :rule symm :premises (@p207)) % 0.37/0.62 (step @p293 :rule trans :premises (@p292 @p291)) % 0.37/0.62 (step @p294 :rule refl :args (@t112)) % 0.37/0.62 (step @p295 :rule cong :premises (@p294 @p293) :args (@t198)) % 0.37/0.62 (step @p296 :rule trans :premises (@p295 @p290)) % 0.37/0.62 (step @p297 :rule true_elim :premises (@p296)) % 0.37/0.62 (step-pop @p314 :rule scope :premises (@p297)) % 0.37/0.62 (step-pop @p315 :rule scope :premises (@p314)) % 0.37/0.62 (step-pop @p316 :rule scope :premises (@p315)) % 0.37/0.62 (step @p298 :rule process_scope :premises (@p316) :args (@t198)) % 0.37/0.62 (step @p302 :rule implies_elim :premises (@p298)) % 0.37/0.62 (step @p303 :rule cnf_and_neg :args (@t202)) % 0.37/0.62 (step @p304 :rule resolution :premises (@p303 @p302) :args (true @t202)) % 0.37/0.62 (step @p305 :rule reordering :premises (@p304) :args ((or @t124 @t198 (not @t147) (not @t168)))) % 0.37/0.62 (step @p306 false :rule chain_m_resolution :premises (@p305 @p286 @p207 @p196 @p131) :args (false (@list true false false false) (@list @t198 @t168 @t147 @t123))) % 0.37/0.62 ) % 0.37/0.62 % SZS output end Proof % 0.37/0.62 % cvc5 exiting %------------------------------------------------------------------------------