%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWB028+2 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n015.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 08:57:14 AM UTC 2026 % Result : Theorem 0.39s 0.60s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWB028+2 : TPTP v9.2.1. Released v5.2.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n015.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 18:56:49 EDT 2026 % 0.15/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.60 % SZS status Theorem % 0.39/0.60 % SZS output start Proof % 0.39/0.60 ( % 0.39/0.60 (declare-sort $$unsorted 0) % 0.39/0.60 (declare-const tptp.iext (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.ic (-> $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.uri_owl_InverseFunctionalProperty $$unsorted) % 0.39/0.60 (declare-const tptp.ip (-> $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.uri_owl_inverseOf $$unsorted) % 0.39/0.60 (declare-const tptp.uri_owl_equivalentClass $$unsorted) % 0.39/0.60 (declare-const tptp.uri_rdfs_subClassOf $$unsorted) % 0.39/0.60 (declare-const tptp.uri_ex_InversesOfFunctionalProperties $$unsorted) % 0.39/0.60 (declare-const tptp.uri_rdf_type $$unsorted) % 0.39/0.60 (declare-const tptp.uri_owl_FunctionalProperty $$unsorted) % 0.39/0.60 (declare-const tptp.icext (-> $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.uri_owl_onProperty $$unsorted) % 0.39/0.60 (declare-const tptp.uri_owl_someValuesFrom $$unsorted) % 0.39/0.60 (declare-const tptp.uri_owl_Restriction $$unsorted) % 0.39/0.60 (define @t1 () (tptp.ic tptp.uri_owl_InverseFunctionalProperty)) % 0.39/0.60 (define @t2 () (@var "Y" $$unsorted)) % 0.39/0.60 (define @t3 () (@var "X" $$unsorted)) % 0.39/0.60 (define @t4 () (and (tptp.ip @t3) (tptp.ip @t2))) % 0.39/0.60 (define @t5 () (tptp.iext tptp.uri_owl_inverseOf @t3 @t2)) % 0.39/0.60 (define @t6 () (@list @t3 @t2)) % 0.39/0.60 (define @t7 () (forall @t6 (=> @t5 @t4))) % 0.39/0.60 (define @t8 () (and (tptp.ic @t3) (tptp.ic @t2))) % 0.39/0.60 (define @t9 () (tptp.iext tptp.uri_owl_equivalentClass @t3 @t2)) % 0.39/0.60 (define @t10 () (forall @t6 (=> @t9 @t8))) % 0.39/0.60 (define @t11 () (@var "Y2" $$unsorted)) % 0.39/0.60 (define @t12 () (@var "Y1" $$unsorted)) % 0.39/0.60 (define @t13 () (= @t12 @t11)) % 0.39/0.60 (define @t14 () (@var "P" $$unsorted)) % 0.39/0.60 (define @t15 () (tptp.iext @t14 @t3 @t11)) % 0.39/0.60 (define @t16 () (tptp.iext @t14 @t3 @t12)) % 0.39/0.60 (define @t17 () (and @t16 @t15)) % 0.39/0.60 (define @t18 () (@list @t3 @t12 @t11)) % 0.39/0.60 (define @t19 () (forall @t18 (=> @t17 @t13))) % 0.39/0.60 (define @t20 () (tptp.ip @t14)) % 0.39/0.60 (define @t21 () (and @t20 @t19)) % 0.39/0.60 (define @t22 () (tptp.icext tptp.uri_owl_FunctionalProperty @t14)) % 0.39/0.60 (define @t23 () (= @t22 @t21)) % 0.39/0.60 (define @t24 () (@list @t14)) % 0.39/0.60 (define @t25 () (forall @t24 @t23)) % 0.39/0.60 (define @t26 () (@var "X2" $$unsorted)) % 0.39/0.60 (define @t27 () (@var "X1" $$unsorted)) % 0.39/0.60 (define @t28 () (= @t27 @t26)) % 0.39/0.60 (define @t29 () (tptp.iext @t14 @t26 @t2)) % 0.39/0.60 (define @t30 () (tptp.iext @t14 @t27 @t2)) % 0.39/0.60 (define @t31 () (and @t30 @t29)) % 0.39/0.60 (define @t32 () (@list @t27 @t26 @t2)) % 0.39/0.60 (define @t33 () (forall @t32 (=> @t31 @t28))) % 0.39/0.60 (define @t34 () (and @t20 @t33)) % 0.39/0.60 (define @t35 () (tptp.icext tptp.uri_owl_InverseFunctionalProperty @t14)) % 0.39/0.60 (define @t36 () (= @t35 @t34)) % 0.39/0.60 (define @t37 () (forall @t24 @t36)) % 0.39/0.60 (define @t38 () (@var "C2" $$unsorted)) % 0.39/0.60 (define @t39 () (tptp.icext @t38 @t3)) % 0.39/0.60 (define @t40 () (@var "C1" $$unsorted)) % 0.39/0.60 (define @t41 () (tptp.icext @t40 @t3)) % 0.39/0.60 (define @t42 () (@list @t3)) % 0.39/0.60 (define @t43 () (forall @t42 (=> @t41 @t39))) % 0.39/0.60 (define @t44 () (tptp.ic @t38)) % 0.39/0.60 (define @t45 () (tptp.ic @t40)) % 0.39/0.60 (define @t46 () (and @t45 @t44 @t43)) % 0.39/0.60 (define @t47 () (tptp.iext tptp.uri_rdfs_subClassOf @t40 @t38)) % 0.39/0.60 (define @t48 () (= @t47 @t46)) % 0.39/0.60 (define @t49 () (@list @t40 @t38)) % 0.39/0.60 (define @t50 () (forall @t49 @t48)) % 0.39/0.60 (define @t51 () (@var "C" $$unsorted)) % 0.39/0.60 (define @t52 () (tptp.icext @t51 @t2)) % 0.39/0.60 (define @t53 () (tptp.iext @t14 @t3 @t2)) % 0.39/0.60 (define @t54 () (and @t53 @t52)) % 0.39/0.60 (define @t55 () (@list @t2)) % 0.39/0.60 (define @t56 () (exists @t55 @t54)) % 0.39/0.60 (define @t57 () (@var "Z" $$unsorted)) % 0.39/0.60 (define @t58 () (tptp.icext @t57 @t3)) % 0.39/0.60 (define @t59 () (= @t58 @t56)) % 0.39/0.60 (define @t60 () (forall @t42 @t59)) % 0.39/0.60 (define @t61 () (tptp.iext tptp.uri_owl_onProperty @t57 @t14)) % 0.39/0.60 (define @t62 () (tptp.iext tptp.uri_owl_someValuesFrom @t57 @t51)) % 0.39/0.60 (define @t63 () (and @t62 @t61)) % 0.39/0.60 (define @t64 () (=> @t63 @t60)) % 0.39/0.60 (define @t65 () (@list @t57 @t14 @t51)) % 0.39/0.60 (define @t66 () (forall @t65 @t64)) % 0.39/0.60 (define @t67 () (@var "P2" $$unsorted)) % 0.39/0.60 (define @t68 () (@var "P1" $$unsorted)) % 0.39/0.60 (define @t69 () (tptp.iext tptp.uri_rdfs_subClassOf tptp.uri_ex_InversesOfFunctionalProperties tptp.uri_owl_InverseFunctionalProperty)) % 0.39/0.60 (define @t70 () (@var "BNODE_z" $$unsorted)) % 0.39/0.60 (define @t71 () (tptp.iext tptp.uri_owl_someValuesFrom @t70 tptp.uri_owl_FunctionalProperty)) % 0.39/0.60 (define @t72 () (tptp.iext tptp.uri_owl_onProperty @t70 tptp.uri_owl_inverseOf)) % 0.39/0.60 (define @t73 () (tptp.iext tptp.uri_rdf_type @t70 tptp.uri_owl_Restriction)) % 0.39/0.60 (define @t74 () (tptp.iext tptp.uri_owl_equivalentClass tptp.uri_ex_InversesOfFunctionalProperties @t70)) % 0.39/0.60 (define @t75 () (and @t74 @t73 @t72 @t71)) % 0.39/0.60 (define @t76 () (@list @t70)) % 0.39/0.60 (define @t77 () (exists @t76 @t75)) % 0.39/0.60 (define @t78 () (not @t15)) % 0.39/0.60 (define @t79 () (not @t16)) % 0.39/0.60 (define @t80 () (tptp.icext tptp.uri_ex_InversesOfFunctionalProperties @t3)) % 0.39/0.60 (define @t81 () (forall @t42 (or (not @t80) (tptp.icext tptp.uri_owl_InverseFunctionalProperty @t3)))) % 0.39/0.60 (define @t82 () (@quantifiers_skolemize @t81 0)) % 0.39/0.60 (define @t83 () (forall @t55 (or (not (tptp.iext tptp.uri_owl_inverseOf @t82 @t2)) (not (tptp.icext tptp.uri_owl_FunctionalProperty @t2))))) % 0.39/0.60 (define @t84 () (@quantifiers_skolemize @t83 0)) % 0.39/0.60 (define @t85 () (not @t52)) % 0.39/0.60 (define @t86 () (@var "BOUND_VARIABLE_7581" $$unsorted)) % 0.39/0.60 (define @t87 () (= (tptp.icext @t57 @t86) (not (forall @t55 (or (not (tptp.iext @t14 @t86 @t2)) @t85))))) % 0.39/0.60 (define @t88 () (not @t61)) % 0.39/0.60 (define @t89 () (not @t62)) % 0.39/0.60 (define @t90 () (or @t89 @t88 @t87)) % 0.39/0.60 (define @t91 () (@list @t86)) % 0.39/0.60 (define @t92 () (forall @t91 @t90)) % 0.39/0.60 (define @t93 () (forall @t91 @t87)) % 0.39/0.60 (define @t94 () (or @t89 @t88 @t93)) % 0.39/0.60 (define @t95 () (forall @t42 (= @t58 (not (forall @t55 (or (not @t53) @t85)))))) % 0.39/0.60 (define @t96 () (or @t89 @t88 @t95)) % 0.39/0.60 (define @t97 () (forall @t55 (not @t54))) % 0.39/0.60 (define @t98 () (not @t97)) % 0.39/0.60 (define @t99 () (not @t71)) % 0.39/0.60 (define @t100 () (not @t72)) % 0.39/0.60 (define @t101 () (not @t73)) % 0.39/0.60 (define @t102 () (not @t74)) % 0.39/0.60 (define @t103 () (or @t102 @t101 @t100 @t99)) % 0.39/0.60 (define @t104 () (@quantifiers_skolemize (forall @t76 @t103) 0)) % 0.39/0.60 (define @t105 () (forall @t76 (not @t75))) % 0.39/0.60 (define @t106 () (not @t105)) % 0.39/0.60 (define @t107 () (tptp.iext tptp.uri_owl_someValuesFrom @t104 tptp.uri_owl_FunctionalProperty)) % 0.39/0.60 (define @t108 () (not @t107)) % 0.39/0.60 (define @t109 () (tptp.iext tptp.uri_owl_onProperty @t104 tptp.uri_owl_inverseOf)) % 0.39/0.60 (define @t110 () (not @t109)) % 0.39/0.60 (define @t111 () (tptp.iext tptp.uri_owl_equivalentClass tptp.uri_ex_InversesOfFunctionalProperties @t104)) % 0.39/0.60 (define @t112 () (not @t111)) % 0.39/0.60 (define @t113 () (or @t112 (not (tptp.iext tptp.uri_rdf_type @t104 tptp.uri_owl_Restriction)) @t110 @t108)) % 0.39/0.60 (define @t114 () (@list true)) % 0.39/0.60 (define @t115 () (@list @t113)) % 0.39/0.60 (define @t116 () (not @t83)) % 0.39/0.60 (define @t117 () (tptp.icext @t104 @t82)) % 0.39/0.60 (define @t118 () (= @t117 @t116)) % 0.39/0.60 (define @t119 () (or @t108 @t110 @t118)) % 0.39/0.60 (define @t120 () (@list tptp.uri_ex_InversesOfFunctionalProperties @t104)) % 0.39/0.60 (define @t121 () (forall @t42 (= @t80 (tptp.icext @t104 @t3)))) % 0.39/0.60 (define @t122 () (tptp.ic @t104)) % 0.39/0.60 (define @t123 () (tptp.ic tptp.uri_ex_InversesOfFunctionalProperties)) % 0.39/0.60 (define @t124 () (and @t123 @t122 @t121)) % 0.39/0.60 (define @t125 () (= @t111 @t124)) % 0.39/0.60 (define @t126 () (@list false false)) % 0.39/0.60 (define @t127 () (@list false)) % 0.39/0.60 (define @t128 () (@list @t82)) % 0.39/0.60 (define @t129 () (and @t123 @t122)) % 0.39/0.60 (define @t130 () (or @t112 @t129)) % 0.39/0.60 (define @t131 () (and @t123 @t1 @t81)) % 0.39/0.60 (define @t132 () (= @t69 @t131)) % 0.39/0.60 (define @t133 () (not @t131)) % 0.39/0.60 (define @t134 () (@list true false)) % 0.39/0.60 (define @t135 () (not @t81)) % 0.39/0.60 (define @t136 () (tptp.icext tptp.uri_ex_InversesOfFunctionalProperties @t82)) % 0.39/0.60 (define @t137 () (tptp.icext tptp.uri_owl_InverseFunctionalProperty @t82)) % 0.39/0.60 (define @t138 () (not @t136)) % 0.39/0.60 (define @t139 () (or @t138 @t137)) % 0.39/0.60 (define @t140 () (@list @t139)) % 0.39/0.60 (define @t141 () (= @t136 @t117)) % 0.39/0.60 (define @t142 () (tptp.icext tptp.uri_owl_FunctionalProperty @t84)) % 0.39/0.60 (define @t143 () (not @t142)) % 0.39/0.60 (define @t144 () (tptp.iext tptp.uri_owl_inverseOf @t82 @t84)) % 0.39/0.60 (define @t145 () (not @t144)) % 0.39/0.60 (define @t146 () (or @t145 @t143)) % 0.39/0.60 (define @t147 () (@list @t146)) % 0.39/0.60 (define @t148 () (forall @t18 (or (not (tptp.iext @t84 @t3 @t12)) (not (tptp.iext @t84 @t3 @t11)) @t13))) % 0.39/0.60 (define @t149 () (tptp.ip @t84)) % 0.39/0.60 (define @t150 () (and @t149 @t148)) % 0.39/0.60 (define @t151 () (= @t142 @t150)) % 0.39/0.60 (define @t152 () (@list @t82 @t84)) % 0.39/0.60 (define @t153 () (forall @t6 (= (tptp.iext @t82 @t3 @t2) (tptp.iext @t84 @t2 @t3)))) % 0.39/0.60 (define @t154 () (tptp.ip @t82)) % 0.39/0.60 (define @t155 () (and @t154 @t149 @t153)) % 0.39/0.60 (define @t156 () (= @t144 @t155)) % 0.39/0.60 (define @t157 () (forall @t32 (or (not (tptp.iext @t82 @t27 @t2)) (not (tptp.iext @t82 @t26 @t2)) @t28))) % 0.39/0.60 (define @t158 () (@quantifiers_skolemize @t157 2)) % 0.39/0.60 (define @t159 () (@quantifiers_skolemize @t157 1)) % 0.39/0.60 (define @t160 () (and @t154 @t149)) % 0.39/0.60 (define @t161 () (or @t145 @t160)) % 0.39/0.60 (define @t162 () (not @t29)) % 0.39/0.60 (define @t163 () (not @t30)) % 0.39/0.60 (define @t164 () (and @t154 @t157)) % 0.39/0.60 (define @t165 () (= @t137 @t164)) % 0.39/0.60 (define @t166 () (not @t164)) % 0.39/0.60 (define @t167 () (tptp.iext @t82 @t159 @t158)) % 0.39/0.60 (define @t168 () (@quantifiers_skolemize @t157 0)) % 0.39/0.60 (define @t169 () (= @t168 @t159)) % 0.39/0.60 (define @t170 () (not @t167)) % 0.39/0.60 (define @t171 () (tptp.iext @t82 @t168 @t158)) % 0.39/0.60 (define @t172 () (not @t171)) % 0.39/0.60 (define @t173 () (or @t172 @t170 @t169)) % 0.39/0.60 (define @t174 () (@list @t173)) % 0.39/0.60 (define @t175 () (tptp.iext @t84 @t158 @t159)) % 0.39/0.60 (define @t176 () (= @t167 @t175)) % 0.39/0.60 (define @t177 () (tptp.iext @t84 @t158 @t168)) % 0.39/0.60 (define @t178 () (= @t171 @t177)) % 0.39/0.60 (define @t179 () (not @t177)) % 0.39/0.60 (define @t180 () (not @t175)) % 0.39/0.60 (define @t181 () (or @t180 @t179 @t169)) % 0.39/0.60 (define @t182 () (not @t181)) % 0.39/0.60 (define @t183 () (or @t180 @t179 (= @t159 @t168))) % 0.39/0.60 (assume @p1 @t1) % 0.39/0.60 (assume @p2 @t7) % 0.39/0.60 (assume @p3 @t10) % 0.39/0.60 (assume @p4 @t25) % 0.39/0.60 (assume @p5 @t37) % 0.39/0.60 (assume @p6 @t50) % 0.39/0.60 (assume @p7 (forall @t49 (= (tptp.iext tptp.uri_owl_equivalentClass @t40 @t38) (and @t45 @t44 (forall @t42 (= @t41 @t39)))))) % 0.39/0.60 (assume @p8 @t66) % 0.39/0.60 (assume @p9 (forall (@list @t68 @t67) (= (tptp.iext tptp.uri_owl_inverseOf @t68 @t67) (and (tptp.ip @t68) (tptp.ip @t67) (forall @t6 (= (tptp.iext @t68 @t3 @t2) (tptp.iext @t67 @t2 @t3))))))) % 0.39/0.60 (assume @p10 (not @t69)) % 0.39/0.60 (assume @p11 @t77) % 0.39/0.60 (assume @p12 true) % 0.39/0.60 (step @p13 :rule aci_norm :args ((= (or (or @t79 @t78) @t13) (or @t79 @t78 @t13)))) % 0.39/0.60 (step @p14 :rule refl :args (@t13)) % 0.39/0.60 (step @p15 :rule bool-and-de-morgan :args (@t16 @t15 true)) % 0.39/0.60 (step @p16 :rule nary_cong :premises (@p15 @p14) :args ((or (not @t17) @t13))) % 0.39/0.60 (step @p17 :rule trans :premises (@p16 @p13)) % 0.39/0.60 (step @p18 :rule bool-impl-elim :args (@t17 @t13)) % 0.39/0.60 (step @p19 :rule trans :premises (@p18 @p17)) % 0.39/0.60 (step @p20 :rule cong :premises (@p19) :args (@t19)) % 0.39/0.60 (step @p21 :rule refl :args (@t20)) % 0.39/0.60 (step @p22 :rule nary_cong :premises (@p21 @p20) :args (@t21)) % 0.39/0.60 (step @p23 :rule refl :args (@t22)) % 0.39/0.60 (step @p24 :rule cong :premises (@p23 @p22) :args (@t23)) % 0.39/0.60 (step @p25 :rule cong :premises (@p24) :args (@t25)) % 0.39/0.60 (step @p26 :rule eq_resolve :premises (@p4 @p25)) % 0.39/0.60 (step @p27 :rule instantiate :premises (@p26) :args ((@list @t84))) % 0.39/0.60 (step @p28 :rule quant-merge-prenex :args ((= (forall @t65 @t92) (forall (@list @t57 @t14 @t51 @t86) @t90)))) % 0.39/0.60 (step @p29 :rule alpha_equiv :args (@t93 (@list @t86) (@list @t3))) % 0.39/0.60 (step @p30 :rule refl :args (@t88)) % 0.39/0.60 (step @p31 :rule refl :args (@t89)) % 0.39/0.60 (step @p32 :rule nary_cong :premises (@p31 @p30 @p29) :args (@t94)) % 0.39/0.60 (step @p33 :rule quant-miniscope-or :args ((= @t92 @t94))) % 0.39/0.60 (step @p34 :rule trans :premises (@p33 @p32)) % 0.39/0.60 (step @p35 :rule symm :premises (@p34)) % 0.39/0.60 (step @p36 :rule cong :premises (@p35) :args ((forall @t65 @t96))) % 0.39/0.60 (step @p37 :rule trans :premises (@p36 @p28)) % 0.39/0.60 (step @p38 :rule aci_norm :args ((= (or (or @t89 @t88) @t95) @t96))) % 0.39/0.60 (step @p39 :rule refl :args (@t95)) % 0.39/0.60 (step @p40 :rule bool-and-de-morgan :args (@t62 @t61 true)) % 0.39/0.60 (step @p41 :rule nary_cong :premises (@p40 @p39) :args ((or (not @t63) @t95))) % 0.39/0.60 (step @p42 :rule trans :premises (@p41 @p38)) % 0.39/0.60 (step @p43 :rule bool-impl-elim :args (@t63 @t95)) % 0.39/0.60 (step @p44 :rule trans :premises (@p43 @p42)) % 0.39/0.60 (step @p45 :rule cong :premises (@p44) :args ((forall @t65 (=> @t63 @t95)))) % 0.39/0.60 (step @p46 :rule trans :premises (@p45 @p37)) % 0.39/0.60 (step @p47 :rule bool-and-de-morgan :args (@t53 @t52 true)) % 0.39/0.60 (step @p48 :rule cong :premises (@p47) :args (@t97)) % 0.39/0.60 (step @p49 :rule cong :premises (@p48) :args (@t98)) % 0.39/0.60 (step @p50 :rule exists-elim :args ((= @t56 @t98))) % 0.39/0.60 (step @p51 :rule trans :premises (@p50 @p49)) % 0.39/0.60 (step @p52 :rule refl :args (@t58)) % 0.39/0.60 (step @p53 :rule cong :premises (@p52 @p51) :args (@t59)) % 0.39/0.60 (step @p54 :rule cong :premises (@p53) :args (@t60)) % 0.39/0.60 (step @p55 :rule refl :args (@t63)) % 0.39/0.60 (step @p56 :rule cong :premises (@p55 @p54) :args (@t64)) % 0.39/0.60 (step @p57 :rule cong :premises (@p56) :args (@t66)) % 0.39/0.60 (step @p58 :rule trans :premises (@p57 @p46)) % 0.39/0.60 (step @p59 :rule eq_resolve :premises (@p8 @p58)) % 0.39/0.60 (step @p60 :rule 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reordering :premises (@p172) :args ((or @t153 (not @t155)))) % 0.39/0.60 (step @p174 :rule chain_m_resolution :premises (@p173 @p171) :args (@t153 @t127 (@list @t155))) % 0.39/0.60 (step @p175 :rule instantiate :premises (@p174) :args ((@list @t159 @t158))) % 0.39/0.60 (step @p176 :rule bool-impl-elim :args (@t5 @t4)) % 0.39/0.60 (step @p177 :rule cong :premises (@p176) :args (@t7)) % 0.39/0.60 (step @p178 :rule eq_resolve :premises (@p2 @p177)) % 0.39/0.60 (step @p179 :rule instantiate :premises (@p178) :args (@t152)) % 0.39/0.60 (step @p180 :rule cnf_or_pos :args (@t161)) % 0.39/0.60 (step @p181 :rule reordering :premises (@p180) :args ((or @t145 @t160 (not @t161)))) % 0.39/0.60 (step @p182 :rule chain_m_resolution :premises (@p181 @p168 @p179) :args (@t160 @t126 (@list @t144 @t161))) % 0.39/0.60 (step @p183 :rule cnf_and_pos :args (@t160 0)) % 0.39/0.60 (step @p184 :rule reordering :premises (@p183) :args ((or @t154 (not @t160)))) % 0.39/0.60 (step @p185 :rule chain_m_resolution 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:rule chain_m_resolution :premises (@p223 @p207) :args (@t171 @t114 @t174)) % 0.39/0.60 (step @p225 :rule cnf_equiv_pos1 :args (@t178)) % 0.39/0.60 (step @p226 :rule reordering :premises (@p225) :args ((or @t172 @t177 (not @t178)))) % 0.39/0.60 (step @p227 :rule chain_m_resolution :premises (@p226 @p224 @p218) :args (@t177 @t126 (@list @t171 @t178))) % 0.39/0.60 (step @p228 :rule cnf_or_neg :args (@t173 2)) % 0.39/0.60 (step @p229 :rule chain_m_resolution :premises (@p228 @p207) :args ((not @t169) @t114 @t174)) % 0.39/0.60 (step @p230 :rule cnf_or_pos :args (@t181)) % 0.39/0.60 (step @p231 :rule reordering :premises (@p230) :args ((or @t169 @t179 @t180 @t182))) % 0.39/0.60 (step @p232 :rule chain_m_resolution :premises (@p231 @p229 @p227 @p217) :args (@t182 (@list true false false) (@list @t169 @t177 @t175))) % 0.39/0.60 (step @p233 :rule eq-symm :args (@t159 @t168)) % 0.39/0.60 (step @p234 :rule refl :args (@t179)) % 0.39/0.60 (step @p235 :rule refl :args (@t180)) % 0.39/0.60 (step @p236 :rule nary_cong :premises (@p235 @p234 @p233) :args (@t183)) % 0.39/0.60 (step @p237 :rule refl :args (@t148)) % 0.39/0.60 (step @p238 :rule cong :premises (@p237 @p236) :args ((=> @t148 @t183))) % 0.39/0.60 (assume-push @p246 @t148) % 0.39/0.60 (step @p240 :rule instantiate :premises (@p161) :args ((@list @t158 @t159 @t168))) % 0.39/0.60 (step-pop @p247 :rule scope :premises (@p240)) % 0.39/0.60 (step @p241 :rule process_scope :premises (@p247) :args (@t183)) % 0.39/0.60 (step @p243 :rule eq_resolve :premises (@p241 @p238)) % 0.39/0.60 (step @p244 :rule implies_elim :premises (@p243)) % 0.39/0.60 (step @p245 false :rule chain_m_resolution :premises (@p244 @p232 @p161) :args (false @t134 (@list @t181 @t148))) % 0.39/0.60 ) % 0.39/0.60 % SZS output end Proof % 0.39/0.60 % cvc5 exiting %------------------------------------------------------------------------------