%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU028+1 : 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 : n020.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 08:50:28 AM UTC 2026 % Result : Theorem 19.71s 19.96s % Output : Proof 19.71s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU028+1 : TPTP v9.2.1. Released v3.2.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n020.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 16:23:55 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 19.71/19.96 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 19.71/19.96 --- Run --no-e-matching --full-saturate-quant at 6... % 19.71/19.96 % SZS status Theorem % 19.71/19.96 % SZS output start Proof % 19.71/19.96 ( % 19.71/19.96 (declare-sort $$unsorted 0) % 19.71/19.96 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 19.71/19.96 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 19.71/19.96 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 19.71/19.96 (declare-const tptp.function (-> $$unsorted Bool)) % 19.71/19.96 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 19.71/19.96 (declare-const tptp.empty (-> $$unsorted Bool)) % 19.71/19.96 (declare-const tptp.relation (-> $$unsorted Bool)) % 19.71/19.96 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 19.71/19.96 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 19.71/19.96 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 19.71/19.96 (declare-const tptp.empty_set $$unsorted) % 19.71/19.96 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 19.71/19.96 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 19.71/19.96 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 19.71/19.96 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 19.71/19.96 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 19.71/19.96 (define @t1 () (@var "A" $$unsorted)) % 19.71/19.96 (define @t2 () (@var "B" $$unsorted)) % 19.71/19.96 (define @t3 () (tptp.in @t1 @t2)) % 19.71/19.96 (define @t4 () (@list @t1 @t2)) % 19.71/19.96 (define @t5 () (tptp.function @t1)) % 19.71/19.96 (define @t6 () (tptp.empty @t1)) % 19.71/19.96 (define @t7 () (@list @t1)) % 19.71/19.96 (define @t8 () (tptp.relation @t1)) % 19.71/19.96 (define @t9 () (tptp.one_to_one @t1)) % 19.71/19.96 (define @t10 () (and @t8 @t5 @t9)) % 19.71/19.96 (define @t11 () (and @t8 @t6 @t5)) % 19.71/19.96 (define @t12 () (tptp.function_inverse @t1)) % 19.71/19.96 (define @t13 () (and (tptp.relation @t12) (tptp.function @t12))) % 19.71/19.96 (define @t14 () (and @t8 @t5)) % 19.71/19.96 (define @t15 () (forall @t7 (=> @t14 @t13))) % 19.71/19.96 (define @t16 () (tptp.relation_composition @t1 @t2)) % 19.71/19.96 (define @t17 () (tptp.relation @t16)) % 19.71/19.96 (define @t18 () (tptp.relation @t2)) % 19.71/19.96 (define @t19 () (and @t8 @t18)) % 19.71/19.96 (define @t20 () (forall @t4 (=> @t19 @t17))) % 19.71/19.96 (define @t21 () (tptp.identity_relation @t1)) % 19.71/19.96 (define @t22 () (tptp.relation @t21)) % 19.71/19.96 (define @t23 () (@list @t2)) % 19.71/19.96 (define @t24 () (tptp.relation_composition @t2 @t1)) % 19.71/19.96 (define @t25 () (and @t6 @t18)) % 19.71/19.96 (define @t26 () (tptp.relation tptp.empty_set)) % 19.71/19.96 (define @t27 () (tptp.empty tptp.empty_set)) % 19.71/19.96 (define @t28 () (and @t17 (tptp.function @t16))) % 19.71/19.96 (define @t29 () (tptp.function @t2)) % 19.71/19.96 (define @t30 () (and @t8 @t5 @t18 @t29)) % 19.71/19.96 (define @t31 () (forall @t4 (=> @t30 @t28))) % 19.71/19.96 (define @t32 () (tptp.powerset @t1)) % 19.71/19.96 (define @t33 () (tptp.relation_dom @t1)) % 19.71/19.96 (define @t34 () (tptp.empty @t33)) % 19.71/19.96 (define @t35 () (not @t6)) % 19.71/19.96 (define @t36 () (and @t35 @t8)) % 19.71/19.96 (define @t37 () (tptp.relation_rng @t1)) % 19.71/19.96 (define @t38 () (tptp.empty @t37)) % 19.71/19.96 (define @t39 () (tptp.empty @t2)) % 19.71/19.96 (define @t40 () (tptp.element @t2 @t32)) % 19.71/19.96 (define @t41 () (tptp.element @t1 @t2)) % 19.71/19.96 (define @t42 () (@var "C" $$unsorted)) % 19.71/19.96 (define @t43 () (tptp.apply @t2 @t42)) % 19.71/19.96 (define @t44 () (tptp.in @t42 @t1)) % 19.71/19.96 (define @t45 () (=> @t44 (= @t43 @t42))) % 19.71/19.96 (define @t46 () (@list @t42)) % 19.71/19.96 (define @t47 () (forall @t46 @t45)) % 19.71/19.96 (define @t48 () (tptp.relation_dom @t2)) % 19.71/19.96 (define @t49 () (and (= @t48 @t1) @t47)) % 19.71/19.96 (define @t50 () (= @t2 @t21)) % 19.71/19.96 (define @t51 () (= @t50 @t49)) % 19.71/19.96 (define @t52 () (and @t18 @t29)) % 19.71/19.96 (define @t53 () (=> @t52 @t51)) % 19.71/19.96 (define @t54 () (forall @t4 @t53)) % 19.71/19.96 (define @t55 () (tptp.element @t2 (tptp.powerset @t42))) % 19.71/19.96 (define @t56 () (@list @t1 @t2 @t42)) % 19.71/19.96 (define @t57 () (tptp.function_inverse @t2)) % 19.71/19.96 (define @t58 () (and (= @t1 (tptp.apply @t57 (tptp.apply @t2 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t2 @t57) @t1)))) % 19.71/19.96 (define @t59 () (tptp.in @t1 @t48)) % 19.71/19.96 (define @t60 () (tptp.one_to_one @t2)) % 19.71/19.96 (define @t61 () (and @t60 @t59)) % 19.71/19.96 (define @t62 () (=> @t61 @t58)) % 19.71/19.96 (define @t63 () (forall @t4 (=> @t52 @t62))) % 19.71/19.96 (define @t64 () (and (= @t1 (tptp.apply @t2 (tptp.apply @t57 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t57 @t2) @t1)))) % 19.71/19.96 (define @t65 () (tptp.in @t1 (tptp.relation_rng @t2))) % 19.71/19.96 (define @t66 () (and @t60 @t65)) % 19.71/19.96 (define @t67 () (=> @t66 @t64)) % 19.71/19.96 (define @t68 () (forall @t4 (=> @t52 @t67))) % 19.71/19.96 (define @t69 () (tptp.relation_composition @t1 @t12)) % 19.71/19.96 (define @t70 () (tptp.relation_rng @t69)) % 19.71/19.96 (define @t71 () (tptp.relation_dom @t69)) % 19.71/19.96 (define @t72 () (and (= @t71 @t33) (= @t70 @t33))) % 19.71/19.96 (define @t73 () (=> @t9 @t72)) % 19.71/19.96 (define @t74 () (=> @t14 @t73)) % 19.71/19.96 (define @t75 () (forall @t7 @t74)) % 19.71/19.96 (define @t76 () (tptp.relation_composition @t12 @t1)) % 19.71/19.96 (define @t77 () (tptp.relation_rng @t76)) % 19.71/19.96 (define @t78 () (tptp.relation_dom @t76)) % 19.71/19.96 (define @t79 () (and (= @t78 @t37) (= @t77 @t37))) % 19.71/19.96 (define @t80 () (=> @t9 @t79)) % 19.71/19.96 (define @t81 () (=> @t14 @t80)) % 19.71/19.96 (define @t82 () (forall @t7 @t81)) % 19.71/19.96 (define @t83 () (and (= @t69 (tptp.identity_relation @t33)) (= @t76 (tptp.identity_relation @t37)))) % 19.71/19.96 (define @t84 () (=> @t9 @t83)) % 19.71/19.96 (define @t85 () (forall @t7 (=> @t14 @t84))) % 19.71/19.96 (define @t86 () (not @t85)) % 19.71/19.96 (define @t87 () (not @t9)) % 19.71/19.96 (define @t88 () (not @t5)) % 19.71/19.96 (define @t89 () (not @t8)) % 19.71/19.96 (define @t90 () (or @t89 @t88 @t87 @t83)) % 19.71/19.96 (define @t91 () (or @t89 @t88)) % 19.71/19.96 (define @t92 () (not @t14)) % 19.71/19.96 (define @t93 () (@quantifiers_skolemize (forall @t7 @t90) 0)) % 19.71/19.96 (define @t94 () (tptp.relation @t93)) % 19.71/19.96 (define @t95 () (tptp.relation_rng @t93)) % 19.71/19.96 (define @t96 () (tptp.function_inverse @t93)) % 19.71/19.96 (define @t97 () (tptp.relation_composition @t96 @t93)) % 19.71/19.96 (define @t98 () (= @t97 (tptp.identity_relation @t95))) % 19.71/19.96 (define @t99 () (tptp.relation_dom @t93)) % 19.71/19.96 (define @t100 () (tptp.relation_composition @t93 @t96)) % 19.71/19.96 (define @t101 () (= @t100 (tptp.identity_relation @t99))) % 19.71/19.96 (define @t102 () (and @t101 @t98)) % 19.71/19.96 (define @t103 () (tptp.one_to_one @t93)) % 19.71/19.96 (define @t104 () (not @t103)) % 19.71/19.96 (define @t105 () (tptp.function @t93)) % 19.71/19.96 (define @t106 () (not @t105)) % 19.71/19.96 (define @t107 () (not @t94)) % 19.71/19.96 (define @t108 () (or @t107 @t106 @t104 @t102)) % 19.71/19.96 (define @t109 () (@list true)) % 19.71/19.96 (define @t110 () (@list @t108)) % 19.71/19.96 (define @t111 () (= @t42 @t43)) % 19.71/19.96 (define @t112 () (= @t50 (and (= @t1 @t48) (forall @t46 (or (not @t44) @t111))))) % 19.71/19.96 (define @t113 () (not @t29)) % 19.71/19.96 (define @t114 () (not @t18)) % 19.71/19.96 (define @t115 () (or @t114 @t113)) % 19.71/19.96 (define @t116 () (not @t52)) % 19.71/19.96 (define @t117 () (or @t89 @t88 @t114 @t113)) % 19.71/19.96 (define @t118 () (@list @t93)) % 19.71/19.96 (define @t119 () (tptp.function @t96)) % 19.71/19.96 (define @t120 () (tptp.relation @t96)) % 19.71/19.96 (define @t121 () (and @t120 @t119)) % 19.71/19.96 (define @t122 () (or @t107 @t106 @t121)) % 19.71/19.96 (define @t123 () (@list false false false)) % 19.71/19.96 (define @t124 () (not @t121)) % 19.71/19.96 (define @t125 () (@list false)) % 19.71/19.96 (define @t126 () (@list @t121)) % 19.71/19.96 (define @t127 () (tptp.function @t97)) % 19.71/19.96 (define @t128 () (tptp.relation @t97)) % 19.71/19.96 (define @t129 () (and @t128 @t127)) % 19.71/19.96 (define @t130 () (not @t119)) % 19.71/19.96 (define @t131 () (not @t120)) % 19.71/19.96 (define @t132 () (or @t131 @t130 @t107 @t106 @t129)) % 19.71/19.96 (define @t133 () (@list false false false false false)) % 19.71/19.96 (define @t134 () (not @t129)) % 19.71/19.96 (define @t135 () (@list @t129)) % 19.71/19.96 (define @t136 () (forall @t46 (or (not (tptp.in @t42 @t95)) (= @t42 (tptp.apply @t97 @t42))))) % 19.71/19.96 (define @t137 () (= @t95 (tptp.relation_dom @t97))) % 19.71/19.96 (define @t138 () (and @t137 @t136)) % 19.71/19.96 (define @t139 () (= @t98 @t138)) % 19.71/19.96 (define @t140 () (not @t127)) % 19.71/19.96 (define @t141 () (not @t128)) % 19.71/19.96 (define @t142 () (or @t141 @t140 @t139)) % 19.71/19.96 (define @t143 () (@list @t93 @t96)) % 19.71/19.96 (define @t144 () (tptp.function @t100)) % 19.71/19.96 (define @t145 () (tptp.relation @t100)) % 19.71/19.96 (define @t146 () (and @t145 @t144)) % 19.71/19.96 (define @t147 () (or @t107 @t106 @t131 @t130 @t146)) % 19.71/19.96 (define @t148 () (or @t107 @t131 @t145)) % 19.71/19.96 (define @t149 () (forall @t46 (or (not (tptp.in @t42 @t99)) (= @t42 (tptp.apply @t100 @t42))))) % 19.71/19.96 (define @t150 () (= @t99 (tptp.relation_dom @t100))) % 19.71/19.96 (define @t151 () (and @t150 @t149)) % 19.71/19.96 (define @t152 () (= @t101 @t151)) % 19.71/19.96 (define @t153 () (not @t144)) % 19.71/19.96 (define @t154 () (not @t145)) % 19.71/19.96 (define @t155 () (or @t154 @t153 @t152)) % 19.71/19.96 (define @t156 () (@quantifiers_skolemize @t149 0)) % 19.71/19.96 (define @t157 () (tptp.in @t156 @t99)) % 19.71/19.96 (define @t158 () (= @t156 (tptp.apply @t100 @t156))) % 19.71/19.96 (define @t159 () (not @t157)) % 19.71/19.96 (define @t160 () (or @t159 @t158)) % 19.71/19.96 (define @t161 () (not @t59)) % 19.71/19.96 (define @t162 () (not @t60)) % 19.71/19.96 (define @t163 () (or @t162 @t161 @t58)) % 19.71/19.96 (define @t164 () (and (= @t156 (tptp.apply @t96 (tptp.apply @t93 @t156))) @t158)) % 19.71/19.96 (define @t165 () (or @t107 @t106 @t104 @t159 @t164)) % 19.71/19.96 (define @t166 () (not @t160)) % 19.71/19.96 (define @t167 () (not @t149)) % 19.71/19.96 (define @t168 () (and (= @t33 @t71) (= @t33 @t70))) % 19.71/19.96 (define @t169 () (=> @t9 @t168)) % 19.71/19.96 (define @t170 () (and @t150 (= @t99 (tptp.relation_rng @t100)))) % 19.71/19.96 (define @t171 () (or @t107 @t106 @t104 @t170)) % 19.71/19.96 (define @t172 () (@list false false false false)) % 19.71/19.96 (define @t173 () (@list false false)) % 19.71/19.96 (define @t174 () (@list true false)) % 19.71/19.96 (define @t175 () (not @t138)) % 19.71/19.96 (define @t176 () (and (= @t37 @t78) (= @t37 @t77))) % 19.71/19.96 (define @t177 () (=> @t9 @t176)) % 19.71/19.96 (define @t178 () (and @t137 (= @t95 (tptp.relation_rng @t97)))) % 19.71/19.96 (define @t179 () (or @t107 @t106 @t104 @t178)) % 19.71/19.96 (define @t180 () (not @t136)) % 19.71/19.96 (define @t181 () (@quantifiers_skolemize @t136 0)) % 19.71/19.96 (define @t182 () (= @t181 (tptp.apply @t97 @t181))) % 19.71/19.96 (define @t183 () (tptp.in @t181 @t95)) % 19.71/19.96 (define @t184 () (not @t183)) % 19.71/19.96 (define @t185 () (or @t184 @t182)) % 19.71/19.96 (define @t186 () (not @t185)) % 19.71/19.96 (define @t187 () (@list @t185)) % 19.71/19.96 (define @t188 () (and (= @t181 (tptp.apply @t93 (tptp.apply @t96 @t181))) @t182)) % 19.71/19.96 (define @t189 () (not @t188)) % 19.71/19.96 (define @t190 () (not @t65)) % 19.71/19.96 (define @t191 () (or @t162 @t190 @t64)) % 19.71/19.96 (define @t192 () (or @t107 @t106 @t104 @t184 @t188)) % 19.71/19.96 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 19.71/19.96 (assume @p2 (forall @t7 (=> @t6 @t5))) % 19.71/19.96 (assume @p3 (forall @t7 (=> @t6 @t8))) % 19.71/19.96 (assume @p4 (forall @t7 (=> @t11 @t10))) % 19.71/19.96 (assume @p5 @t15) % 19.71/19.96 (assume @p6 @t20) % 19.71/19.96 (assume @p7 (forall @t7 @t22)) % 19.71/19.96 (assume @p8 (forall @t7 (exists @t23 (tptp.element @t2 @t1)))) % 19.71/19.96 (assume @p9 (forall @t4 (=> @t25 (and (tptp.empty @t24) (tptp.relation @t24))))) % 19.71/19.96 (assume @p10 (and @t27 @t26 (tptp.relation_empty_yielding tptp.empty_set))) % 19.71/19.96 (assume @p11 @t31) % 19.71/19.96 (assume @p12 (forall @t7 (not (tptp.empty @t32)))) % 19.71/19.96 (assume @p13 @t27) % 19.71/19.96 (assume @p14 (forall @t7 (and @t22 (tptp.function @t21)))) % 19.71/19.96 (assume @p15 (and @t27 @t26)) % 19.71/19.96 (assume @p16 (forall @t7 (=> @t36 (not @t34)))) % 19.71/19.96 (assume @p17 (forall @t7 (=> @t36 (not @t38)))) % 19.71/19.96 (assume @p18 (forall @t7 (=> @t6 (and @t34 (tptp.relation @t33))))) % 19.71/19.96 (assume @p19 (forall @t7 (=> @t6 (and @t38 (tptp.relation @t37))))) % 19.71/19.96 (assume @p20 (forall @t4 (=> @t25 (and (tptp.empty @t16) @t17)))) % 19.71/19.96 (assume @p21 (exists @t7 @t14)) % 19.71/19.96 (assume @p22 (exists @t7 (and @t6 @t8))) % 19.71/19.96 (assume @p23 (forall @t7 (=> @t35 (exists @t23 (and @t40 (not @t39)))))) % 19.71/19.96 (assume @p24 (exists @t7 @t6)) % 19.71/19.96 (assume @p25 (exists @t7 @t11)) % 19.71/19.96 (assume @p26 (exists @t7 @t36)) % 19.71/19.96 (assume @p27 (forall @t7 (exists @t23 (and @t40 @t39)))) % 19.71/19.96 (assume @p28 (exists @t7 @t35)) % 19.71/19.96 (assume @p29 (exists @t7 @t10)) % 19.71/19.96 (assume @p30 (exists @t7 (and @t8 (tptp.relation_empty_yielding @t1)))) % 19.71/19.96 (assume @p31 (forall @t4 (tptp.subset @t1 @t1))) % 19.71/19.96 (assume @p32 (forall @t4 (=> @t3 @t41))) % 19.71/19.96 (assume @p33 (forall @t4 (=> @t41 (or @t39 @t3)))) % 19.71/19.96 (assume @p34 @t54) % 19.71/19.96 (assume @p35 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 19.71/19.96 (assume @p36 (forall @t56 (=> (and @t3 @t55) (tptp.element @t1 @t42)))) % 19.71/19.96 (assume @p37 @t63) % 19.71/19.96 (assume @p38 @t68) % 19.71/19.96 (assume @p39 @t75) % 19.71/19.96 (assume @p40 @t82) % 19.71/19.96 (assume @p41 (forall @t56 (not (and @t3 @t55 (tptp.empty @t42))))) % 19.71/19.96 (assume @p42 @t86) % 19.71/19.96 (assume @p43 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 19.71/19.96 (assume @p44 (forall @t4 (not (and @t3 @t39)))) % 19.71/19.96 (assume @p45 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t39)))) % 19.71/19.96 (assume @p46 true) % 19.71/19.96 (step @p47 :rule aci_norm :args ((= (or @t91 (or @t87 @t83)) @t90))) % 19.71/19.96 (step @p48 :rule bool-impl-elim :args (@t9 @t83)) % 19.71/19.96 (step @p49 :rule bool-and-de-morgan :args (@t8 @t5 true)) % 19.71/19.96 (step @p50 :rule nary_cong :premises (@p49 @p48) :args ((or @t92 @t84))) % 19.71/19.96 (step @p51 :rule trans :premises (@p50 @p47)) % 19.71/19.96 (step @p52 :rule bool-impl-elim :args (@t14 @t84)) % 19.71/19.96 (step @p53 :rule trans :premises (@p52 @p51)) % 19.71/19.96 (step @p54 :rule cong :premises (@p53) :args (@t85)) % 19.71/19.96 (step @p55 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@t170)))) % 19.71/19.96 (step @p235 :rule chain_m_resolution :premises (@p234 @p232) :args (@t150 @t125 (@list @t170))) % 19.71/19.96 (step @p236 :rule cnf_and_neg :args (@t151)) % 19.71/19.96 (step @p237 :rule reordering :premises (@p236) :args ((or (not @t150) @t151 @t167))) % 19.71/19.96 (step @p238 :rule chain_m_resolution :premises (@p237 @p235 @p211) :args (@t151 @t173 (@list @t150 @t149))) % 19.71/19.96 (step @p239 :rule cnf_equiv_pos2 :args (@t152)) % 19.71/19.96 (step @p240 :rule reordering :premises (@p239) :args ((or @t101 (not @t151) (not @t152)))) % 19.71/19.96 (step @p241 :rule chain_m_resolution :premises (@p240 @p238 @p174) :args (@t101 @t173 (@list @t151 @t152))) % 19.71/19.96 (step @p242 :rule cnf_or_neg :args (@t108 3)) % 19.71/19.96 (step @p243 :rule chain_m_resolution :premises (@p242 @p57) :args ((not @t102) @t109 @t110)) % 19.71/19.96 (step @p244 :rule cnf_and_neg :args (@t102)) % 19.71/19.96 (step @p245 :rule chain_m_resolution :premises (@p244 @p243 @p241) :args ((not @t98) @t174 (@list @t102 @t101))) % 19.71/19.96 (step @p246 :rule cnf_equiv_pos2 :args (@t139)) % 19.71/19.96 (step @p247 :rule reordering :premises (@p246) :args ((or @t98 @t175 (not @t139)))) % 19.71/19.96 (step @p248 :rule chain_m_resolution :premises (@p247 @p245 @p150) :args (@t175 @t174 (@list @t98 @t139))) % 19.71/19.96 (step @p249 :rule aci_norm :args ((= (or @t91 (or @t87 @t176)) (or @t89 @t88 @t87 @t176)))) % 19.71/19.96 (step @p250 :rule bool-impl-elim :args (@t9 @t176)) % 19.71/19.96 (step @p251 :rule nary_cong :premises (@p49 @p250) :args ((or @t92 @t177))) % 19.71/19.96 (step @p252 :rule trans :premises (@p251 @p249)) % 19.71/19.96 (step @p253 :rule bool-impl-elim :args (@t14 @t177)) % 19.71/19.96 (step @p254 :rule trans :premises (@p253 @p252)) % 19.71/19.97 (step @p255 :rule cong :premises (@p254) :args ((forall @t7 (=> @t14 @t177)))) % 19.71/19.97 (step @p256 :rule eq-symm :args (@t77 @t37)) % 19.71/19.97 (step @p257 :rule eq-symm :args (@t78 @t37)) % 19.71/19.97 (step @p258 :rule nary_cong :premises (@p257 @p256) :args (@t79)) % 19.71/19.97 (step @p259 :rule cong :premises (@p222 @p258) :args (@t80)) % 19.71/19.97 (step @p260 :rule cong :premises (@p224 @p259) :args (@t81)) % 19.71/19.97 (step @p261 :rule cong :premises (@p260) :args (@t82)) % 19.71/19.97 (step @p262 :rule trans :premises (@p261 @p255)) % 19.71/19.97 (step @p263 :rule eq_resolve :premises (@p40 @p262)) % 19.71/19.97 (step @p264 :rule instantiate :premises (@p263) :args (@t118)) % 19.71/19.97 (step @p265 :rule cnf_or_pos :args (@t179)) % 19.71/19.97 (step @p266 :rule reordering :premises (@p265) :args ((or @t107 @t106 @t104 @t178 (not @t179)))) % 19.71/19.97 (step @p267 :rule chain_m_resolution :premises (@p266 @p64 @p70 @p76 @p264) :args (@t178 @t172 (@list @t94 @t105 @t103 @t179))) % 19.71/19.97 (step @p268 :rule cnf_and_pos :args (@t178 0)) % 19.71/19.97 (step @p269 :rule reordering :premises (@p268) :args ((or @t137 (not @t178)))) % 19.71/19.97 (step @p270 :rule chain_m_resolution :premises (@p269 @p267) :args (@t137 @t125 (@list @t178))) % 19.71/19.97 (step @p271 :rule cnf_and_neg :args (@t138)) % 19.71/19.97 (step @p272 :rule reordering :premises (@p271) :args ((or (not @t137) @t138 @t180))) % 19.71/19.97 (step @p273 :rule chain_m_resolution :premises (@p272 @p270 @p248) :args (@t180 (@list false true) (@list @t137 @t138))) % 19.71/19.97 (step @p274 :rule refl :args (@t186)) % 19.71/19.97 (step @p275 :rule bool-double-not-elim :args (@t136)) % 19.71/19.97 (step @p276 :rule nary_cong :premises (@p275 @p274) :args ((or (not @t180) @t186))) % 19.71/19.97 (assume-push @p316 @t180) % 19.71/19.97 (step @p278 :rule skolemize :premises (@p316)) % 19.71/19.97 (step-pop @p317 :rule scope :premises (@p278)) % 19.71/19.97 (step @p279 :rule process_scope :premises (@p317) :args (@t186)) % 19.71/19.97 (step @p281 :rule implies_elim :premises (@p279)) % 19.71/19.97 (step @p282 :rule eq_resolve :premises (@p281 @p276)) % 19.71/19.97 (step @p283 :rule chain_m_resolution :premises (@p282 @p273) :args (@t186 @t109 (@list @t136))) % 19.71/19.97 (step @p284 :rule bool-double-not-elim :args (@t183)) % 19.71/19.97 (step @p285 :rule refl :args (@t185)) % 19.71/19.97 (step @p286 :rule nary_cong :premises (@p285 @p284) :args ((or @t185 (not @t184)))) % 19.71/19.97 (step @p287 :rule cnf_or_neg :args (@t185 0)) % 19.71/19.97 (step @p288 :rule eq_resolve :premises (@p287 @p286)) % 19.71/19.97 (step @p289 :rule reordering :premises (@p288) :args ((or @t183 @t185))) % 19.71/19.97 (step @p290 :rule chain_m_resolution :premises (@p289 @p283) :args (@t183 @t109 @t187)) % 19.71/19.97 (step @p291 :rule cnf_or_neg :args (@t185 1)) % 19.71/19.97 (step @p292 :rule chain_m_resolution :premises (@p291 @p283) :args ((not @t182) @t109 @t187)) % 19.71/19.97 (step @p293 :rule cnf_and_pos :args (@t188 1)) % 19.71/19.97 (step @p294 :rule reordering :premises (@p293) :args ((or @t182 @t189))) % 19.71/19.97 (step @p295 :rule chain_m_resolution :premises (@p294 @p292) :args (@t189 @t109 (@list @t182))) % 19.71/19.97 (step @p296 :rule aci_norm :args ((= (or @t115 @t191) (or @t114 @t113 @t162 @t190 @t64)))) % 19.71/19.97 (step @p297 :rule aci_norm :args ((= (or (or @t162 @t190) @t64) @t191))) % 19.71/19.97 (step @p298 :rule refl :args (@t64)) % 19.71/19.97 (step @p299 :rule bool-and-de-morgan :args (@t60 @t65 true)) % 19.71/19.97 (step @p300 :rule nary_cong :premises (@p299 @p298) :args ((or (not @t66) @t64))) % 19.71/19.97 (step @p301 :rule trans :premises (@p300 @p297)) % 19.71/19.97 (step @p302 :rule bool-impl-elim :args (@t66 @t64)) % 19.71/19.97 (step @p303 :rule trans :premises (@p302 @p301)) % 19.71/19.97 (step @p304 :rule nary_cong :premises (@p79 @p303) :args ((or @t116 @t67))) % 19.71/19.97 (step @p305 :rule trans :premises (@p304 @p296)) % 19.71/19.97 (step @p306 :rule bool-impl-elim :args (@t52 @t67)) % 19.71/19.97 (step @p307 :rule trans :premises (@p306 @p305)) % 19.71/19.97 (step @p308 :rule cong :premises (@p307) :args (@t68)) % 19.71/19.97 (step @p309 :rule eq_resolve :premises (@p38 @p308)) % 19.71/19.97 (step @p310 :rule instantiate :premises (@p309) :args ((@list @t181 @t93))) % 19.71/19.97 (step @p311 :rule cnf_or_pos :args (@t192)) % 19.71/19.97 (step @p312 :rule reordering :premises (@p311) :args ((or @t107 @t106 @t104 @t184 @t188 (not @t192)))) % 19.71/19.97 (step @p313 false :rule chain_m_resolution :premises (@p312 @p310 @p295 @p290 @p76 @p70 @p64) :args (false (@list false true false false false false) (@list @t192 @t188 @t183 @t103 @t105 @t94))) % 19.71/19.97 ) % 19.71/19.97 % SZS output end Proof % 19.71/19.97 % cvc5 exiting %------------------------------------------------------------------------------