%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWB010+2 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n012.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 08:57:05 AM UTC 2026 % Result : Theorem 0.93s 1.14s % Output : Proof 0.93s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.07 % Problem : SWB010+2 : TPTP v9.2.1. Released v5.2.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.08/0.26 % Computer : n012.cluster.edu % 0.08/0.26 % Model : x86_64 x86_64 % 0.08/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.26 % Memory : 8042.1875MB % 0.08/0.26 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.26 % CPULimit : 300 % 0.08/0.26 % WCLimit : 300 % 0.08/0.26 % DateTime : Tue Jun 2 18:51:48 EDT 2026 % 0.08/0.26 % CPUTime : % 0.15/0.34 %----Proving TF0_NAR, FOF, or CNF % 0.93/1.14 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.93/1.14 % SZS status Theorem % 0.93/1.14 % SZS output start Proof % 0.93/1.14 ( % 0.93/1.14 (declare-sort $$unsorted 0) % 0.93/1.14 (declare-const tptp.uri_ex_s $$unsorted) % 0.93/1.14 (declare-const tptp.uri_ex_p $$unsorted) % 0.93/1.14 (declare-const tptp.uri_ex_o $$unsorted) % 0.93/1.14 (declare-const tptp.uri_owl_assertionProperty $$unsorted) % 0.93/1.14 (declare-const tptp.uri_owl_ObjectProperty $$unsorted) % 0.93/1.14 (declare-const tptp.uri_owl_targetIndividual $$unsorted) % 0.93/1.14 (declare-const tptp.uri_rdf_first $$unsorted) % 0.93/1.14 (declare-const tptp.uri_rdf_rest $$unsorted) % 0.93/1.14 (declare-const tptp.uri_rdf_type $$unsorted) % 0.93/1.14 (declare-const tptp.uri_owl_allValuesFrom $$unsorted) % 0.93/1.14 (declare-const tptp.icext (-> $$unsorted $$unsorted Bool)) % 0.93/1.14 (declare-const tptp.ir (-> $$unsorted Bool)) % 0.93/1.14 (declare-const tptp.uri_owl_complementOf $$unsorted) % 0.93/1.14 (declare-const tptp.uri_owl_NegativePropertyAssertion $$unsorted) % 0.93/1.14 (declare-const tptp.uri_owl_sourceIndividual $$unsorted) % 0.93/1.14 (declare-const tptp.ip (-> $$unsorted Bool)) % 0.93/1.14 (declare-const tptp.uri_owl_Restriction $$unsorted) % 0.93/1.14 (declare-const tptp.uri_owl_onProperty $$unsorted) % 0.93/1.14 (declare-const tptp.uri_owl_oneOf $$unsorted) % 0.93/1.14 (declare-const tptp.iext (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.93/1.14 (declare-const tptp.ic (-> $$unsorted Bool)) % 0.93/1.14 (declare-const tptp.uri_rdf_nil $$unsorted) % 0.93/1.14 (define @t1 () (@var "X" $$unsorted)) % 0.93/1.14 (define @t2 () (@list @t1)) % 0.93/1.14 (define @t3 () (@var "C" $$unsorted)) % 0.93/1.14 (define @t4 () (tptp.icext @t3 @t1)) % 0.93/1.14 (define @t5 () (forall (@list @t1 @t3) (= (tptp.iext tptp.uri_rdf_type @t1 @t3) @t4))) % 0.93/1.14 (define @t6 () (@var "Y" $$unsorted)) % 0.93/1.14 (define @t7 () (and (tptp.icext tptp.uri_owl_NegativePropertyAssertion @t1) (tptp.ir @t6))) % 0.93/1.14 (define @t8 () (tptp.iext tptp.uri_owl_sourceIndividual @t1 @t6)) % 0.93/1.14 (define @t9 () (@list @t1 @t6)) % 0.93/1.14 (define @t10 () (forall @t9 (=> @t8 @t7))) % 0.93/1.14 (define @t11 () (and (tptp.icext tptp.uri_owl_Restriction @t1) (tptp.ip @t6))) % 0.93/1.14 (define @t12 () (tptp.iext tptp.uri_owl_onProperty @t1 @t6)) % 0.93/1.14 (define @t13 () (forall @t9 (=> @t12 @t11))) % 0.93/1.14 (define @t14 () (@var "Z" $$unsorted)) % 0.93/1.14 (define @t15 () (tptp.icext @t14 @t1)) % 0.93/1.14 (define @t16 () (tptp.ic @t3)) % 0.93/1.14 (define @t17 () (tptp.ic @t14)) % 0.93/1.14 (define @t18 () (and @t17 @t16 (forall @t2 (= @t15 (not @t4))))) % 0.93/1.14 (define @t19 () (tptp.iext tptp.uri_owl_complementOf @t14 @t3)) % 0.93/1.14 (define @t20 () (@list @t14 @t3)) % 0.93/1.14 (define @t21 () (forall @t20 (=> @t19 @t18))) % 0.93/1.14 (define @t22 () (@var "A1" $$unsorted)) % 0.93/1.14 (define @t23 () (@var "S1" $$unsorted)) % 0.93/1.14 (define @t24 () (= (tptp.iext tptp.uri_owl_oneOf @t14 @t23) (and @t17 (forall @t2 (= @t15 (= @t1 @t22)))))) % 0.93/1.14 (define @t25 () (tptp.iext tptp.uri_rdf_rest @t23 tptp.uri_rdf_nil)) % 0.93/1.14 (define @t26 () (tptp.iext tptp.uri_rdf_first @t23 @t22)) % 0.93/1.14 (define @t27 () (and @t26 @t25)) % 0.93/1.14 (define @t28 () (forall (@list @t14 @t23 @t22) (=> @t27 @t24))) % 0.93/1.14 (define @t29 () (tptp.icext @t3 @t6)) % 0.93/1.14 (define @t30 () (@var "P" $$unsorted)) % 0.93/1.14 (define @t31 () (tptp.iext @t30 @t1 @t6)) % 0.93/1.14 (define @t32 () (@list @t6)) % 0.93/1.14 (define @t33 () (forall @t32 (=> @t31 @t29))) % 0.93/1.14 (define @t34 () (= @t15 @t33)) % 0.93/1.14 (define @t35 () (forall @t2 @t34)) % 0.93/1.14 (define @t36 () (tptp.iext tptp.uri_owl_onProperty @t14 @t30)) % 0.93/1.14 (define @t37 () (tptp.iext tptp.uri_owl_allValuesFrom @t14 @t3)) % 0.93/1.14 (define @t38 () (and @t37 @t36)) % 0.93/1.14 (define @t39 () (=> @t38 @t35)) % 0.93/1.14 (define @t40 () (@list @t14 @t30 @t3)) % 0.93/1.14 (define @t41 () (forall @t40 @t39)) % 0.93/1.14 (define @t42 () (@var "A2" $$unsorted)) % 0.93/1.14 (define @t43 () (tptp.iext tptp.uri_owl_targetIndividual @t14 @t42)) % 0.93/1.14 (define @t44 () (tptp.iext tptp.uri_owl_assertionProperty @t14 @t30)) % 0.93/1.14 (define @t45 () (tptp.iext tptp.uri_owl_sourceIndividual @t14 @t22)) % 0.93/1.14 (define @t46 () (and @t45 @t44 @t43)) % 0.93/1.14 (define @t47 () (@list @t14)) % 0.93/1.14 (define @t48 () (exists @t47 @t46)) % 0.93/1.14 (define @t49 () (tptp.iext @t30 @t22 @t42)) % 0.93/1.14 (define @t50 () (not @t49)) % 0.93/1.14 (define @t51 () (tptp.ir @t42)) % 0.93/1.14 (define @t52 () (tptp.ip @t30)) % 0.93/1.14 (define @t53 () (tptp.ir @t22)) % 0.93/1.14 (define @t54 () (and @t53 @t52 @t51 @t50)) % 0.93/1.14 (define @t55 () (=> @t54 @t48)) % 0.93/1.14 (define @t56 () (@list @t30 @t22 @t42)) % 0.93/1.14 (define @t57 () (forall @t56 @t55)) % 0.93/1.14 (define @t58 () (@var "BNODE_z" $$unsorted)) % 0.93/1.14 (define @t59 () (tptp.iext tptp.uri_owl_targetIndividual @t58 tptp.uri_ex_o)) % 0.93/1.14 (define @t60 () (tptp.iext tptp.uri_owl_assertionProperty @t58 tptp.uri_ex_p)) % 0.93/1.14 (define @t61 () (tptp.iext tptp.uri_owl_sourceIndividual @t58 tptp.uri_ex_s)) % 0.93/1.14 (define @t62 () (tptp.iext tptp.uri_rdf_type @t58 tptp.uri_owl_NegativePropertyAssertion)) % 0.93/1.14 (define @t63 () (and @t62 @t61 @t60 @t59)) % 0.93/1.14 (define @t64 () (@list @t58)) % 0.93/1.14 (define @t65 () (exists @t64 @t63)) % 0.93/1.14 (define @t66 () (not @t65)) % 0.93/1.14 (define @t67 () (@var "BNODE_x4" $$unsorted)) % 0.93/1.14 (define @t68 () (tptp.iext tptp.uri_rdf_rest @t67 tptp.uri_rdf_nil)) % 0.93/1.14 (define @t69 () (tptp.iext tptp.uri_rdf_first @t67 tptp.uri_ex_o)) % 0.93/1.14 (define @t70 () (@var "BNODE_x3" $$unsorted)) % 0.93/1.14 (define @t71 () (tptp.iext tptp.uri_owl_oneOf @t70 @t67)) % 0.93/1.14 (define @t72 () (@var "BNODE_x2" $$unsorted)) % 0.93/1.14 (define @t73 () (tptp.iext tptp.uri_owl_complementOf @t72 @t70)) % 0.93/1.14 (define @t74 () (@var "BNODE_x1" $$unsorted)) % 0.93/1.14 (define @t75 () (tptp.iext tptp.uri_owl_allValuesFrom @t74 @t72)) % 0.93/1.14 (define @t76 () (tptp.iext tptp.uri_owl_onProperty @t74 tptp.uri_ex_p)) % 0.93/1.14 (define @t77 () (tptp.iext tptp.uri_rdf_type tptp.uri_ex_s @t74)) % 0.93/1.14 (define @t78 () (tptp.iext tptp.uri_rdf_type tptp.uri_ex_p tptp.uri_owl_ObjectProperty)) % 0.93/1.14 (define @t79 () (and @t78 @t77 @t76 @t75 @t73 @t71 @t69 @t68)) % 0.93/1.14 (define @t80 () (@list @t74 @t72 @t70 @t67)) % 0.93/1.14 (define @t81 () (exists @t80 @t79)) % 0.93/1.14 (define @t82 () (forall @t47 (or (not (tptp.iext tptp.uri_owl_sourceIndividual @t14 tptp.uri_ex_s)) (not (tptp.iext tptp.uri_owl_assertionProperty @t14 tptp.uri_ex_p)) (not (tptp.iext tptp.uri_owl_targetIndividual @t14 tptp.uri_ex_o))))) % 0.93/1.14 (define @t83 () (@quantifiers_skolemize @t82 0)) % 0.93/1.14 (define @t84 () (not @t43)) % 0.93/1.14 (define @t85 () (not @t44)) % 0.93/1.14 (define @t86 () (not @t45)) % 0.93/1.14 (define @t87 () (or @t86 @t85 @t84)) % 0.93/1.14 (define @t88 () (not (forall @t47 @t87))) % 0.93/1.14 (define @t89 () (not @t51)) % 0.93/1.14 (define @t90 () (not @t52)) % 0.93/1.14 (define @t91 () (not @t53)) % 0.93/1.14 (define @t92 () (not @t50)) % 0.93/1.14 (define @t93 () (or @t91 @t90 @t89 @t92)) % 0.93/1.14 (define @t94 () (forall @t47 (not @t46))) % 0.93/1.14 (define @t95 () (not @t94)) % 0.93/1.14 (define @t96 () (@var "BOUND_VARIABLE_7578" $$unsorted)) % 0.93/1.14 (define @t97 () (= (tptp.icext @t14 @t96) (forall @t32 (or (not (tptp.iext @t30 @t96 @t6)) @t29)))) % 0.93/1.14 (define @t98 () (not @t36)) % 0.93/1.14 (define @t99 () (not @t37)) % 0.93/1.14 (define @t100 () (or @t99 @t98 @t97)) % 0.93/1.14 (define @t101 () (@list @t96)) % 0.93/1.14 (define @t102 () (forall @t101 @t100)) % 0.93/1.14 (define @t103 () (forall @t101 @t97)) % 0.93/1.14 (define @t104 () (@list @t1)) % 0.93/1.14 (define @t105 () (or @t99 @t98 @t103)) % 0.93/1.14 (define @t106 () (forall @t2 (= @t15 (forall @t32 (or (not @t31) @t29))))) % 0.93/1.14 (define @t107 () (or @t99 @t98 @t106)) % 0.93/1.14 (define @t108 () (not @t68)) % 0.93/1.14 (define @t109 () (not @t69)) % 0.93/1.14 (define @t110 () (not @t71)) % 0.93/1.14 (define @t111 () (not @t73)) % 0.93/1.14 (define @t112 () (not @t75)) % 0.93/1.14 (define @t113 () (not @t76)) % 0.93/1.14 (define @t114 () (not @t77)) % 0.93/1.14 (define @t115 () (or @t114 @t113 @t112 @t111 @t110 @t109 @t108)) % 0.93/1.14 (define @t116 () (forall @t80 @t115)) % 0.93/1.14 (define @t117 () (@quantifiers_skolemize @t116 1)) % 0.93/1.14 (define @t118 () (@quantifiers_skolemize @t116 0)) % 0.93/1.14 (define @t119 () (not @t78)) % 0.93/1.14 (define @t120 () (or @t119 @t115)) % 0.93/1.14 (define @t121 () (or @t119 @t114 @t113 @t112 @t111 @t110 @t109 @t108)) % 0.93/1.14 (define @t122 () (forall @t80 (not @t79))) % 0.93/1.14 (define @t123 () (not @t122)) % 0.93/1.14 (define @t124 () (tptp.iext tptp.uri_owl_allValuesFrom @t118 @t117)) % 0.93/1.14 (define @t125 () (@quantifiers_skolemize @t116 3)) % 0.93/1.14 (define @t126 () (tptp.iext tptp.uri_rdf_rest @t125 tptp.uri_rdf_nil)) % 0.93/1.14 (define @t127 () (not @t126)) % 0.93/1.14 (define @t128 () (tptp.iext tptp.uri_rdf_first @t125 tptp.uri_ex_o)) % 0.93/1.14 (define @t129 () (not @t128)) % 0.93/1.14 (define @t130 () (@quantifiers_skolemize @t116 2)) % 0.93/1.14 (define @t131 () (tptp.iext tptp.uri_owl_oneOf @t130 @t125)) % 0.93/1.14 (define @t132 () (not @t131)) % 0.93/1.14 (define @t133 () (tptp.iext tptp.uri_owl_complementOf @t117 @t130)) % 0.93/1.14 (define @t134 () (not @t133)) % 0.93/1.14 (define @t135 () (not @t124)) % 0.93/1.14 (define @t136 () (tptp.iext tptp.uri_owl_onProperty @t118 tptp.uri_ex_p)) % 0.93/1.14 (define @t137 () (not @t136)) % 0.93/1.14 (define @t138 () (tptp.iext tptp.uri_rdf_type tptp.uri_ex_s @t118)) % 0.93/1.14 (define @t139 () (not @t138)) % 0.93/1.14 (define @t140 () (or @t139 @t137 @t135 @t134 @t132 @t129 @t127)) % 0.93/1.14 (define @t141 () (@list true)) % 0.93/1.14 (define @t142 () (@list @t140)) % 0.93/1.14 (define @t143 () (forall @t32 (or (not (tptp.iext tptp.uri_ex_p tptp.uri_ex_s @t6)) (tptp.icext @t117 @t6)))) % 0.93/1.14 (define @t144 () (tptp.icext @t118 tptp.uri_ex_s)) % 0.93/1.14 (define @t145 () (= @t144 @t143)) % 0.93/1.14 (define @t146 () (or @t135 @t137 @t145)) % 0.93/1.14 (define @t147 () (@list false false false)) % 0.93/1.14 (define @t148 () (= @t138 @t144)) % 0.93/1.14 (define @t149 () (@list false false)) % 0.93/1.14 (define @t150 () (@list tptp.uri_ex_o)) % 0.93/1.14 (define @t151 () (@var "BOUND_VARIABLE_7547" $$unsorted)) % 0.93/1.14 (define @t152 () (= (tptp.icext @t14 @t151) (not (tptp.icext @t3 @t151)))) % 0.93/1.14 (define @t153 () (and @t17 @t16 @t152)) % 0.93/1.14 (define @t154 () (not @t19)) % 0.93/1.14 (define @t155 () (or @t154 @t153)) % 0.93/1.14 (define @t156 () (@list @t151)) % 0.93/1.14 (define @t157 () (forall @t156 @t155)) % 0.93/1.14 (define @t158 () (forall @t156 @t152)) % 0.93/1.14 (define @t159 () (forall @t156 @t16)) % 0.93/1.14 (define @t160 () (forall @t156 @t17)) % 0.93/1.14 (define @t161 () (and @t160 @t159 @t158)) % 0.93/1.14 (define @t162 () (forall @t156 @t153)) % 0.93/1.14 (define @t163 () (or @t154 @t162)) % 0.93/1.14 (define @t164 () (tptp.icext @t130 tptp.uri_ex_o)) % 0.93/1.14 (define @t165 () (not @t164)) % 0.93/1.14 (define @t166 () (tptp.icext @t117 tptp.uri_ex_o)) % 0.93/1.14 (define @t167 () (= @t166 @t165)) % 0.93/1.14 (define @t168 () (tptp.ic @t130)) % 0.93/1.14 (define @t169 () (and (tptp.ic @t117) @t168 @t167)) % 0.93/1.14 (define @t170 () (or @t134 @t169)) % 0.93/1.14 (define @t171 () (@list false)) % 0.93/1.14 (define @t172 () (not @t25)) % 0.93/1.14 (define @t173 () (not @t26)) % 0.93/1.14 (define @t174 () (forall @t2 (= (tptp.icext @t130 @t1) (= @t1 tptp.uri_ex_o)))) % 0.93/1.14 (define @t175 () (and @t168 @t174)) % 0.93/1.14 (define @t176 () (= @t131 @t175)) % 0.93/1.14 (define @t177 () (or @t129 @t127 @t176)) % 0.93/1.14 (define @t178 () (= tptp.uri_ex_o tptp.uri_ex_o)) % 0.93/1.14 (define @t179 () (= @t164 @t178)) % 0.93/1.14 (define @t180 () (not @t166)) % 0.93/1.14 (define @t181 () (tptp.iext tptp.uri_ex_p tptp.uri_ex_s tptp.uri_ex_o)) % 0.93/1.14 (define @t182 () (not @t181)) % 0.93/1.14 (define @t183 () (or @t182 @t166)) % 0.93/1.14 (define @t184 () (@list true false)) % 0.93/1.14 (define @t185 () (tptp.ip tptp.uri_ex_p)) % 0.93/1.14 (define @t186 () (and (tptp.icext tptp.uri_owl_Restriction @t118) @t185)) % 0.93/1.14 (define @t187 () (or @t137 @t186)) % 0.93/1.14 (define @t188 () (not @t82)) % 0.93/1.14 (define @t189 () (tptp.ir tptp.uri_ex_o)) % 0.93/1.14 (define @t190 () (not @t189)) % 0.93/1.14 (define @t191 () (not @t185)) % 0.93/1.14 (define @t192 () (tptp.ir tptp.uri_ex_s)) % 0.93/1.14 (define @t193 () (not @t192)) % 0.93/1.14 (define @t194 () (or @t193 @t191 @t190 @t181 @t188)) % 0.93/1.14 (define @t195 () (tptp.iext tptp.uri_owl_sourceIndividual @t83 tptp.uri_ex_s)) % 0.93/1.14 (define @t196 () (tptp.iext tptp.uri_owl_targetIndividual @t83 tptp.uri_ex_o)) % 0.93/1.14 (define @t197 () (not @t196)) % 0.93/1.14 (define @t198 () (tptp.iext tptp.uri_owl_assertionProperty @t83 tptp.uri_ex_p)) % 0.93/1.14 (define @t199 () (not @t198)) % 0.93/1.14 (define @t200 () (not @t195)) % 0.93/1.14 (define @t201 () (or @t200 @t199 @t197)) % 0.93/1.14 (define @t202 () (@list @t201)) % 0.93/1.14 (define @t203 () (tptp.icext tptp.uri_owl_NegativePropertyAssertion @t83)) % 0.93/1.14 (define @t204 () (and @t203 @t192)) % 0.93/1.14 (define @t205 () (or @t200 @t204)) % 0.93/1.14 (define @t206 () (not @t59)) % 0.93/1.14 (define @t207 () (not @t60)) % 0.93/1.14 (define @t208 () (not @t61)) % 0.93/1.14 (define @t209 () (not @t62)) % 0.93/1.14 (define @t210 () (or @t209 @t208 @t207 @t206)) % 0.93/1.14 (define @t211 () (forall @t64 (not @t63))) % 0.93/1.14 (define @t212 () (not @t211)) % 0.93/1.14 (define @t213 () (tptp.iext tptp.uri_rdf_type @t83 tptp.uri_owl_NegativePropertyAssertion)) % 0.93/1.14 (define @t214 () (not @t213)) % 0.93/1.14 (define @t215 () (or @t214 @t200 @t199 @t197)) % 0.93/1.14 (define @t216 () (= @t203 @t213)) % 0.93/1.14 (define @t217 () (not @t216)) % 0.93/1.14 (define @t218 () (= @t213 @t203)) % 0.93/1.14 (assume @p1 (forall @t2 (tptp.ir @t1))) % 0.93/1.14 (assume @p2 @t5) % 0.93/1.14 (assume @p3 @t10) % 0.93/1.14 (assume @p4 @t13) % 0.93/1.14 (assume @p5 @t21) % 0.93/1.14 (assume @p6 @t28) % 0.93/1.14 (assume @p7 @t41) % 0.93/1.14 (assume @p8 @t57) % 0.93/1.14 (assume @p9 @t66) % 0.93/1.14 (assume @p10 @t81) % 0.93/1.14 (assume @p11 true) % 0.93/1.14 (step @p12 :rule bool-impl-elim :args (@t8 @t7)) % 0.93/1.14 (step @p13 :rule cong :premises (@p12) :args (@t10)) % 0.93/1.14 (step @p14 :rule eq_resolve :premises (@p3 @p13)) % 0.93/1.14 (step @p15 :rule instantiate :premises (@p14) :args ((@list @t83 tptp.uri_ex_s))) % 0.93/1.14 (step @p16 :rule aci_norm :args ((= (or (or @t91 @t90 @t89 @t49) @t88) (or @t91 @t90 @t89 @t49 @t88)))) % 0.93/1.14 (step @p17 :rule refl :args (@t88)) % 0.93/1.14 (step @p18 :rule bool-double-not-elim :args (@t49)) % 0.93/1.14 (step @p19 :rule refl :args (@t89)) % 0.93/1.14 (step @p20 :rule refl :args (@t90)) % 0.93/1.14 (step @p21 :rule refl :args (@t91)) % 0.93/1.14 (step @p22 :rule nary_cong :premises (@p21 @p20 @p19 @p18) :args (@t93)) % 0.93/1.14 (step @p23 :rule aci_norm :args 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(@t39)) % 0.93/1.14 (step @p81 :rule cong :premises (@p80) :args (@t41)) % 0.93/1.14 (step @p82 :rule trans :premises (@p81 @p73)) % 0.93/1.14 (step @p83 :rule eq_resolve :premises (@p7 @p82)) % 0.93/1.14 (step @p84 :rule instantiate :premises (@p83) :args ((@list @t118 tptp.uri_ex_p @t117 tptp.uri_ex_s))) % 0.93/1.14 (step @p85 :rule quant-miniscope-or :args ((= (forall @t80 @t120) (or @t119 @t116)))) % 0.93/1.14 (step @p86 :rule aci_norm :args ((= @t121 @t120))) % 0.93/1.14 (step @p87 :rule cong :premises (@p86) :args ((forall @t80 @t121))) % 0.93/1.14 (step @p88 :rule trans :premises (@p87 @p85)) % 0.93/1.14 (step @p89 :rule aci_norm :args ((= (or @t119 (or @t114 (or @t113 (or @t112 (or @t111 (or @t110 (or @t109 @t108))))))) @t121))) % 0.93/1.14 (step @p90 :rule bool-and-de-morgan :args (@t69 @t68 true)) % 0.93/1.14 (step @p91 :rule refl :args (@t110)) % 0.93/1.14 (step @p92 :rule nary_cong :premises (@p91 @p90) :args ((or @t110 (not (and @t69 @t68))))) % 0.93/1.14 (step @p93 :rule bool-and-de-morgan :args (@t71 @t69 (and @t68))) % 0.93/1.14 (step @p94 :rule trans :premises (@p93 @p92)) % 0.93/1.14 (step @p95 :rule refl :args (@t111)) % 0.93/1.14 (step @p96 :rule nary_cong :premises (@p95 @p94) :args ((or @t111 (not (and @t71 @t69 @t68))))) % 0.93/1.14 (step @p97 :rule bool-and-de-morgan :args (@t73 @t71 (and @t69 @t68))) % 0.93/1.14 (step @p98 :rule trans :premises (@p97 @p96)) % 0.93/1.14 (step @p99 :rule refl :args (@t112)) % 0.93/1.14 (step @p100 :rule nary_cong :premises (@p99 @p98) :args ((or @t112 (not (and @t73 @t71 @t69 @t68))))) % 0.93/1.14 (step @p101 :rule bool-and-de-morgan :args (@t75 @t73 (and @t71 @t69 @t68))) % 0.93/1.14 (step @p102 :rule trans :premises (@p101 @p100)) % 0.93/1.14 (step @p103 :rule refl :args (@t113)) % 0.93/1.14 (step @p104 :rule nary_cong :premises (@p103 @p102) :args ((or @t113 (not (and @t75 @t73 @t71 @t69 @t68))))) % 0.93/1.14 (step @p105 :rule bool-and-de-morgan :args (@t76 @t75 (and @t73 @t71 @t69 @t68))) % 0.93/1.14 (step @p106 :rule trans :premises (@p105 @p104)) % 0.93/1.14 (step @p107 :rule refl :args (@t114)) % 0.93/1.14 (step @p108 :rule nary_cong :premises (@p107 @p106) :args ((or @t114 (not (and @t76 @t75 @t73 @t71 @t69 @t68))))) % 0.93/1.14 (step @p109 :rule bool-and-de-morgan :args (@t77 @t76 (and @t75 @t73 @t71 @t69 @t68))) % 0.93/1.14 (step @p110 :rule trans :premises (@p109 @p108)) % 0.93/1.14 (step @p111 :rule refl :args (@t119)) % 0.93/1.14 (step @p112 :rule nary_cong :premises (@p111 @p110) :args ((or @t119 (not (and @t77 @t76 @t75 @t73 @t71 @t69 @t68))))) % 0.93/1.14 (step @p113 :rule bool-and-de-morgan :args (@t78 @t77 (and @t76 @t75 @t73 @t71 @t69 @t68))) % 0.93/1.14 (step @p114 :rule trans :premises (@p113 @p112)) % 0.93/1.14 (step @p115 :rule trans :premises (@p114 @p89)) % 0.93/1.14 (step @p116 :rule cong :premises (@p115) :args (@t122)) % 0.93/1.14 (step @p117 :rule trans :premises (@p116 @p88)) % 0.93/1.14 (step @p118 :rule cong :premises (@p117) :args (@t123)) % 0.93/1.14 (step @p119 :rule exists-elim :args ((= @t81 @t123))) % 0.93/1.14 (step @p120 :rule trans :premises (@p119 @p118)) % 0.93/1.14 (step @p121 :rule eq_resolve :premises (@p10 @p120)) % 0.93/1.14 (step @p122 :rule not_or_elim :premises (@p121) :args (1)) % 0.93/1.14 (step @p123 :rule skolemize :premises (@p122)) % 0.93/1.14 (step @p124 :rule bool-double-not-elim :args (@t124)) % 0.93/1.14 (step @p125 :rule refl :args (@t140)) % 0.93/1.14 (step @p126 :rule nary_cong :premises (@p125 @p124) :args ((or @t140 (not @t135)))) % 0.93/1.14 (step @p127 :rule cnf_or_neg :args (@t140 2)) % 0.93/1.14 (step @p128 :rule eq_resolve :premises (@p127 @p126)) % 0.93/1.14 (step @p129 :rule reordering :premises (@p128) :args ((or @t124 @t140))) % 0.93/1.14 (step @p130 :rule chain_m_resolution :premises (@p129 @p123) :args (@t124 @t141 @t142)) % 0.93/1.14 (step @p131 :rule bool-double-not-elim :args (@t136)) % 0.93/1.14 (step @p132 :rule nary_cong :premises (@p125 @p131) :args ((or @t140 (not @t137)))) % 0.93/1.14 (step @p133 :rule cnf_or_neg :args (@t140 1)) % 0.93/1.14 (step @p134 :rule eq_resolve :premises (@p133 @p132)) % 0.93/1.14 (step @p135 :rule reordering :premises (@p134) :args ((or @t136 @t140))) % 0.93/1.14 (step @p136 :rule chain_m_resolution :premises (@p135 @p123) :args (@t136 @t141 @t142)) % 0.93/1.14 (step @p137 :rule cnf_or_pos :args (@t146)) % 0.93/1.14 (step @p138 :rule reordering :premises (@p137) :args ((or @t137 @t135 @t145 (not @t146)))) % 0.93/1.14 (step @p139 :rule chain_m_resolution :premises (@p138 @p136 @p130 @p84) :args (@t145 @t147 (@list @t136 @t124 @t146))) % 0.93/1.14 (step @p140 :rule instantiate :premises (@p2) :args ((@list tptp.uri_ex_s @t118))) % 0.93/1.14 (step @p141 :rule bool-double-not-elim :args (@t138)) % 0.93/1.14 (step @p142 :rule nary_cong :premises (@p125 @p141) :args ((or @t140 (not @t139)))) % 0.93/1.14 (step @p143 :rule cnf_or_neg :args (@t140 0)) % 0.93/1.14 (step @p144 :rule eq_resolve :premises (@p143 @p142)) % 0.93/1.14 (step @p145 :rule 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(step @p156 :rule quant-unused-vars :args ((= @t159 @t16))) % 0.93/1.14 (step @p157 :rule quant-unused-vars :args ((= @t160 @t17))) % 0.93/1.14 (step @p158 :rule nary_cong :premises (@p157 @p156 @p155) :args (@t161)) % 0.93/1.14 (step @p159 :rule quant-miniscope-and :args ((= @t162 @t161))) % 0.93/1.14 (step @p160 :rule trans :premises (@p159 @p158)) % 0.93/1.14 (step @p161 :rule refl :args (@t154)) % 0.93/1.14 (step @p162 :rule nary_cong :premises (@p161 @p160) :args (@t163)) % 0.93/1.14 (step @p163 :rule quant-miniscope-or :args ((= @t157 @t163))) % 0.93/1.14 (step @p164 :rule trans :premises (@p163 @p162)) % 0.93/1.14 (step @p165 :rule symm :premises (@p164)) % 0.93/1.14 (step @p166 :rule cong :premises (@p165) :args ((forall @t20 (or @t154 @t18)))) % 0.93/1.14 (step @p167 :rule trans :premises (@p166 @p154)) % 0.93/1.14 (step @p168 :rule bool-impl-elim :args (@t19 @t18)) % 0.93/1.14 (step @p169 :rule cong :premises (@p168) :args (@t21)) % 0.93/1.14 (step @p170 :rule trans :premises 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(step @p183 :rule reordering :premises (@p182) :args ((or @t167 (not @t169)))) % 0.93/1.14 (step @p184 :rule chain_m_resolution :premises (@p183 @p181) :args (@t167 @t171 (@list @t169))) % 0.93/1.14 (step @p185 :rule aci_norm :args ((= (or (or @t173 @t172) @t24) (or @t173 @t172 @t24)))) % 0.93/1.14 (step @p186 :rule refl :args (@t24)) % 0.93/1.14 (step @p187 :rule bool-and-de-morgan :args (@t26 @t25 true)) % 0.93/1.14 (step @p188 :rule nary_cong :premises (@p187 @p186) :args ((or (not @t27) @t24))) % 0.93/1.14 (step @p189 :rule trans :premises (@p188 @p185)) % 0.93/1.14 (step @p190 :rule bool-impl-elim :args (@t27 @t24)) % 0.93/1.14 (step @p191 :rule trans :premises (@p190 @p189)) % 0.93/1.14 (step @p192 :rule cong :premises (@p191) :args (@t28)) % 0.93/1.14 (step @p193 :rule eq_resolve :premises (@p6 @p192)) % 0.93/1.14 (step @p194 :rule instantiate :premises (@p193) :args ((@list @t130 @t125 tptp.uri_ex_o))) % 0.93/1.14 (step @p195 :rule bool-double-not-elim :args (@t126)) % 0.93/1.14 (step @p196 :rule nary_cong :premises (@p125 @p195) :args ((or @t140 (not @t127)))) % 0.93/1.14 (step @p197 :rule cnf_or_neg :args (@t140 6)) % 0.93/1.14 (step @p198 :rule eq_resolve :premises (@p197 @p196)) % 0.93/1.14 (step @p199 :rule reordering :premises (@p198) :args ((or @t126 @t140))) % 0.93/1.14 (step @p200 :rule chain_m_resolution :premises (@p199 @p123) :args (@t126 @t141 @t142)) % 0.93/1.14 (step @p201 :rule bool-double-not-elim :args (@t128)) % 0.93/1.14 (step @p202 :rule nary_cong :premises (@p125 @p201) :args ((or @t140 (not @t129)))) % 0.93/1.14 (step @p203 :rule cnf_or_neg :args (@t140 5)) % 0.93/1.14 (step @p204 :rule eq_resolve :premises (@p203 @p202)) % 0.93/1.14 (step @p205 :rule reordering :premises (@p204) :args ((or @t128 @t140))) % 0.93/1.14 (step @p206 :rule chain_m_resolution :premises (@p205 @p123) :args (@t128 @t141 @t142)) % 0.93/1.14 (step @p207 :rule cnf_or_pos :args (@t177)) % 0.93/1.14 (step @p208 :rule reordering :premises (@p207) :args ((or @t129 @t127 @t176 (not @t177)))) % 0.93/1.14 (step @p209 :rule chain_m_resolution :premises (@p208 @p206 @p200 @p194) :args (@t176 @t147 (@list @t128 @t126 @t177))) % 0.93/1.14 (step @p210 :rule bool-double-not-elim :args (@t131)) % 0.93/1.14 (step @p211 :rule nary_cong :premises (@p125 @p210) :args ((or @t140 (not @t132)))) % 0.93/1.14 (step @p212 :rule cnf_or_neg :args (@t140 4)) % 0.93/1.14 (step @p213 :rule eq_resolve :premises (@p212 @p211)) % 0.93/1.14 (step @p214 :rule reordering :premises (@p213) :args ((or @t131 @t140))) % 0.93/1.14 (step @p215 :rule chain_m_resolution :premises (@p214 @p123) :args (@t131 @t141 @t142)) % 0.93/1.14 (step @p216 :rule cnf_equiv_pos1 :args (@t176)) % 0.93/1.14 (step @p217 :rule reordering :premises (@p216) :args ((or @t132 @t175 (not @t176)))) % 0.93/1.14 (step @p218 :rule chain_m_resolution :premises (@p217 @p215 @p209) :args (@t175 @t149 (@list @t131 @t176))) % 0.93/1.14 (step @p219 :rule cnf_and_pos :args (@t175 1)) % 0.93/1.14 (step @p220 :rule reordering :premises (@p219) :args ((or @t174 (not @t175)))) % 0.93/1.14 (step @p221 :rule chain_m_resolution :premises (@p220 @p218) :args (@t174 @t171 (@list @t175))) % 0.93/1.14 (step @p222 :rule bool-eq-true :args (@t164)) % 0.93/1.14 (step @p223 :rule eq-symm :args (true @t164)) % 0.93/1.14 (step @p224 :rule trans :premises (@p223 @p222)) % 0.93/1.14 (step @p225 :rule refl :args (@t164)) % 0.93/1.14 (step @p226 :rule eq-refl :args (tptp.uri_ex_o)) % 0.93/1.14 (step @p227 :rule cong :premises (@p226 @p225) :args ((= @t178 @t164))) % 0.93/1.14 (step @p228 :rule trans :premises (@p227 @p224)) % 0.93/1.14 (step @p229 :rule eq-symm :args (@t164 @t178)) % 0.93/1.14 (step @p230 :rule trans :premises (@p229 @p228)) % 0.93/1.14 (step @p231 :rule refl :args (@t174)) % 0.93/1.14 (step @p232 :rule cong :premises (@p231 @p230) :args ((=> @t174 @t179))) % 0.93/1.14 (assume-push @p323 @t174) % 0.93/1.14 (step @p234 :rule instantiate :premises (@p221) :args (@t150)) % 0.93/1.14 (step-pop @p324 :rule scope :premises (@p234)) % 0.93/1.14 (step @p235 :rule process_scope :premises (@p324) :args (@t179)) % 0.93/1.14 (step @p237 :rule eq_resolve :premises (@p235 @p232)) % 0.93/1.14 (step @p238 :rule implies_elim :premises (@p237)) % 0.93/1.14 (step @p239 :rule chain_m_resolution :premises (@p238 @p221) :args (@t164 @t171 (@list @t174))) % 0.93/1.14 (step @p240 :rule cnf_equiv_pos1 :args (@t167)) % 0.93/1.14 (step @p241 :rule reordering :premises (@p240) :args ((or @t180 @t165 (not @t167)))) % 0.93/1.14 (step @p242 :rule chain_m_resolution :premises (@p241 @p239 @p184) :args (@t180 @t149 (@list @t164 @t167))) % 0.93/1.14 (step @p243 :rule cnf_or_pos :args (@t183)) % 0.93/1.14 (step @p244 :rule reordering :premises (@p243) :args ((or @t166 @t182 (not @t183)))) % 0.93/1.14 (step @p245 :rule chain_m_resolution :premises (@p244 @p242 @p153) :args (@t182 @t184 (@list @t166 @t183))) % 0.93/1.14 (step @p246 :rule instantiate :premises (@p1) :args (@t150)) % 0.93/1.14 (step @p247 :rule instantiate :premises (@p1) :args ((@list tptp.uri_ex_s))) % 0.93/1.14 (step @p248 :rule bool-impl-elim :args (@t12 @t11)) % 0.93/1.14 (step @p249 :rule cong :premises (@p248) :args (@t13)) % 0.93/1.14 (step @p250 :rule eq_resolve :premises (@p4 @p249)) % 0.93/1.14 (step @p251 :rule instantiate :premises (@p250) :args ((@list @t118 tptp.uri_ex_p))) % 0.93/1.14 (step @p252 :rule cnf_or_pos :args (@t187)) % 0.93/1.14 (step @p253 :rule reordering :premises (@p252) :args ((or @t137 @t186 (not @t187)))) % 0.93/1.14 (step @p254 :rule chain_m_resolution :premises (@p253 @p136 @p251) :args (@t186 @t149 (@list @t136 @t187))) % 0.93/1.14 (step @p255 :rule cnf_and_pos :args (@t186 1)) % 0.93/1.14 (step @p256 :rule reordering :premises (@p255) :args ((or @t185 (not @t186)))) % 0.93/1.14 (step @p257 :rule chain_m_resolution :premises (@p256 @p254) :args (@t185 @t171 (@list @t186))) % 0.93/1.14 (step @p258 :rule cnf_or_pos :args (@t194)) % 0.93/1.14 (step @p259 :rule reordering :premises (@p258) :args ((or @t191 @t193 @t190 @t181 @t188 (not @t194)))) % 0.93/1.14 (step @p260 :rule chain_m_resolution :premises (@p259 @p257 @p247 @p246 @p245 @p54) :args (@t188 (@list false false false true false) (@list @t185 @t192 @t189 @t181 @t194))) % 0.93/1.14 (step @p261 :rule skolemize :premises (@p260)) % 0.93/1.14 (step @p262 :rule bool-double-not-elim :args (@t195)) % 0.93/1.14 (step @p263 :rule refl :args (@t201)) % 0.93/1.14 (step @p264 :rule nary_cong :premises (@p263 @p262) :args ((or @t201 (not @t200)))) % 0.93/1.14 (step @p265 :rule cnf_or_neg :args (@t201 0)) % 0.93/1.14 (step @p266 :rule eq_resolve :premises (@p265 @p264)) % 0.93/1.14 (step @p267 :rule reordering :premises (@p266) :args ((or @t195 @t201))) % 0.93/1.14 (step @p268 :rule chain_m_resolution :premises (@p267 @p261) :args (@t195 @t141 @t202)) % 0.93/1.14 (step @p269 :rule cnf_or_pos :args (@t205)) % 0.93/1.14 (step @p270 :rule reordering :premises (@p269) :args ((or @t200 @t204 (not @t205)))) % 0.93/1.14 (step @p271 :rule chain_m_resolution :premises (@p270 @p268 @p15) :args (@t204 @t149 (@list @t195 @t205))) % 0.93/1.14 (step @p272 :rule cnf_and_pos :args (@t204 0)) % 0.93/1.14 (step @p273 :rule reordering :premises (@p272) :args ((or @t203 (not @t204)))) % 0.93/1.14 (step @p274 :rule chain_m_resolution :premises (@p273 @p271) :args (@t203 @t171 (@list @t204))) % 0.93/1.14 (step @p275 :rule bool-double-not-elim :args ((forall @t64 @t210))) % 0.93/1.14 (step @p276 :rule aci_norm :args ((= (or @t209 (or @t208 (or @t207 @t206))) @t210))) % 0.93/1.14 (step @p277 :rule bool-and-de-morgan :args (@t60 @t59 true)) % 0.93/1.14 (step @p278 :rule refl :args (@t208)) % 0.93/1.14 (step @p279 :rule nary_cong :premises (@p278 @p277) :args ((or @t208 (not (and @t60 @t59))))) % 0.93/1.14 (step @p280 :rule bool-and-de-morgan :args (@t61 @t60 (and @t59))) % 0.93/1.14 (step @p281 :rule trans :premises (@p280 @p279)) % 0.93/1.14 (step @p282 :rule refl :args (@t209)) % 0.93/1.14 (step @p283 :rule nary_cong :premises (@p282 @p281) :args ((or @t209 (not (and @t61 @t60 @t59))))) % 0.93/1.14 (step @p284 :rule bool-and-de-morgan :args (@t62 @t61 (and @t60 @t59))) % 0.93/1.14 (step @p285 :rule trans :premises (@p284 @p283)) % 0.93/1.14 (step @p286 :rule trans :premises (@p285 @p276)) % 0.93/1.14 (step @p287 :rule cong :premises (@p286) :args (@t211)) % 0.93/1.14 (step @p288 :rule cong :premises (@p287) :args (@t212)) % 0.93/1.14 (step @p289 :rule exists-elim :args ((= @t65 @t212))) % 0.93/1.14 (step @p290 :rule trans :premises (@p289 @p288)) % 0.93/1.14 (step @p291 :rule cong :premises (@p290) :args (@t66)) % 0.93/1.14 (step @p292 :rule trans :premises (@p291 @p275)) % 0.93/1.14 (step @p293 :rule eq_resolve :premises (@p9 @p292)) % 0.93/1.14 (step @p294 :rule instantiate :premises (@p293) :args ((@list @t83))) % 0.93/1.14 (step @p295 :rule bool-double-not-elim :args (@t196)) % 0.93/1.14 (step @p296 :rule nary_cong :premises (@p263 @p295) :args ((or @t201 (not @t197)))) % 0.93/1.14 (step @p297 :rule cnf_or_neg :args (@t201 2)) % 0.93/1.14 (step @p298 :rule eq_resolve :premises (@p297 @p296)) % 0.93/1.14 (step @p299 :rule reordering :premises (@p298) :args ((or @t196 @t201))) % 0.93/1.14 (step @p300 :rule chain_m_resolution :premises (@p299 @p261) :args (@t196 @t141 @t202)) % 0.93/1.14 (step @p301 :rule bool-double-not-elim :args (@t198)) % 0.93/1.14 (step @p302 :rule nary_cong :premises (@p263 @p301) :args ((or @t201 (not @t199)))) % 0.93/1.14 (step @p303 :rule cnf_or_neg :args (@t201 1)) % 0.93/1.14 (step @p304 :rule eq_resolve :premises (@p303 @p302)) % 0.93/1.14 (step @p305 :rule reordering :premises (@p304) :args ((or @t198 @t201))) % 0.93/1.14 (step @p306 :rule chain_m_resolution :premises (@p305 @p261) :args (@t198 @t141 @t202)) % 0.93/1.14 (step @p307 :rule cnf_or_pos :args (@t215)) % 0.93/1.14 (step @p308 :rule reordering :premises (@p307) :args ((or @t200 @t199 @t197 @t214 (not @t215)))) % 0.93/1.14 (step @p309 :rule chain_m_resolution :premises (@p308 @p268 @p306 @p300 @p294) :args (@t214 (@list false false false false) (@list @t195 @t198 @t196 @t215))) % 0.93/1.14 (step @p310 :rule cnf_equiv_pos1 :args (@t216)) % 0.93/1.14 (step @p311 :rule reordering :premises (@p310) :args ((or @t213 (not @t203) @t217))) % 0.93/1.14 (step @p312 :rule chain_m_resolution :premises (@p311 @p309 @p274) :args (@t217 @t184 (@list @t213 @t203))) % 0.93/1.14 (step @p313 :rule eq-symm :args (@t213 @t203)) % 0.93/1.14 (step @p314 :rule refl :args (@t5)) % 0.93/1.14 (step @p315 :rule cong :premises (@p314 @p313) :args ((=> @t5 @t218))) % 0.93/1.14 (assume-push @p325 @t5) % 0.93/1.14 (step @p317 :rule instantiate :premises (@p2) :args ((@list @t83 tptp.uri_owl_NegativePropertyAssertion))) % 0.93/1.14 (step-pop @p326 :rule scope :premises (@p317)) % 0.93/1.14 (step @p318 :rule process_scope :premises (@p326) :args (@t218)) % 0.93/1.14 (step @p320 :rule eq_resolve :premises (@p318 @p315)) % 0.93/1.14 (step @p321 :rule implies_elim :premises (@p320)) % 0.93/1.14 (step @p322 false :rule chain_m_resolution :premises (@p321 @p312 @p2) :args (false @t184 (@list @t216 @t5))) % 0.93/1.14 ) % 0.93/1.14 % SZS output end Proof % 0.93/1.14 % cvc5 exiting %------------------------------------------------------------------------------