%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM842+2 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n001.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 08:40:47 AM UTC 2026 % Result : Theorem 0.46s 0.68s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM842+2 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n001.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 12:30:05 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.46/0.68 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.46/0.68 % SZS status Theorem % 0.46/0.68 % SZS output start Proof % 0.46/0.68 ( % 0.46/0.68 (declare-sort $$unsorted 0) % 0.46/0.68 (declare-const tptp.vskolem2 (-> $$unsorted $$unsorted)) % 0.46/0.68 (declare-const tptp.v1 $$unsorted) % 0.46/0.68 (declare-const tptp.vsucc (-> $$unsorted $$unsorted)) % 0.46/0.68 (declare-const tptp.less (-> $$unsorted $$unsorted Bool)) % 0.46/0.68 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.46/0.68 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.46/0.68 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.46/0.68 (declare-const tptp.vd353 $$unsorted) % 0.46/0.68 (declare-const tptp.vd355 $$unsorted) % 0.46/0.68 (declare-const tptp.vplus (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.68 (declare-const tptp.vd354 $$unsorted) % 0.46/0.68 (declare-const tptp.vd356 $$unsorted) % 0.46/0.68 (define @t1 () (tptp.vplus tptp.vd354 tptp.vd356)) % 0.46/0.68 (define @t2 () (tptp.vplus tptp.vd353 tptp.vd355)) % 0.46/0.68 (define @t3 () (tptp.greater @t2 @t1)) % 0.46/0.68 (define @t4 () (not @t3)) % 0.46/0.68 (define @t5 () (tptp.greater tptp.vd353 tptp.vd354)) % 0.46/0.68 (define @t6 () (tptp.geq tptp.vd355 tptp.vd356)) % 0.46/0.68 (define @t7 () (and @t6 @t5)) % 0.46/0.68 (define @t8 () (tptp.geq tptp.vd353 tptp.vd354)) % 0.46/0.68 (define @t9 () (tptp.greater tptp.vd355 tptp.vd356)) % 0.46/0.68 (define @t10 () (and @t9 @t8)) % 0.46/0.68 (define @t11 () (@var "Vd341" $$unsorted)) % 0.46/0.68 (define @t12 () (@var "Vd338" $$unsorted)) % 0.46/0.68 (define @t13 () (@var "Vd340" $$unsorted)) % 0.46/0.68 (define @t14 () (@var "Vd337" $$unsorted)) % 0.46/0.68 (define @t15 () (tptp.greater (tptp.vplus @t14 @t13) (tptp.vplus @t12 @t11))) % 0.46/0.68 (define @t16 () (tptp.greater @t14 @t12)) % 0.46/0.68 (define @t17 () (tptp.greater @t13 @t11)) % 0.46/0.68 (define @t18 () (and @t17 @t16)) % 0.46/0.68 (define @t19 () (forall (@list @t14 @t12 @t13 @t11) (=> @t18 @t15))) % 0.46/0.68 (define @t20 () (@var "Vd329" $$unsorted)) % 0.46/0.68 (define @t21 () (@var "Vd328" $$unsorted)) % 0.46/0.68 (define @t22 () (tptp.less @t21 @t20)) % 0.46/0.68 (define @t23 () (@var "Vd330" $$unsorted)) % 0.46/0.68 (define @t24 () (tptp.vplus @t20 @t23)) % 0.46/0.68 (define @t25 () (tptp.vplus @t21 @t23)) % 0.46/0.68 (define @t26 () (tptp.less @t25 @t24)) % 0.46/0.68 (define @t27 () (@list @t21 @t20 @t23)) % 0.46/0.68 (define @t28 () (forall @t27 (=> @t26 @t22))) % 0.46/0.68 (define @t29 () (@var "Vd303" $$unsorted)) % 0.46/0.68 (define @t30 () (@var "Vd302" $$unsorted)) % 0.46/0.68 (define @t31 () (tptp.vplus @t30 @t29)) % 0.46/0.68 (define @t32 () (@var "Vd301" $$unsorted)) % 0.46/0.68 (define @t33 () (tptp.vplus @t32 @t29)) % 0.46/0.68 (define @t34 () (tptp.less @t33 @t31)) % 0.46/0.68 (define @t35 () (tptp.less @t32 @t30)) % 0.46/0.68 (define @t36 () (@list @t32 @t30 @t29)) % 0.46/0.68 (define @t37 () (forall @t36 (=> @t35 @t34))) % 0.46/0.68 (define @t38 () (tptp.greater @t33 @t31)) % 0.46/0.68 (define @t39 () (tptp.greater @t32 @t30)) % 0.46/0.68 (define @t40 () (forall @t36 (=> @t39 @t38))) % 0.46/0.68 (define @t41 () (@var "Vd295" $$unsorted)) % 0.46/0.68 (define @t42 () (@var "Vd296" $$unsorted)) % 0.46/0.68 (define @t43 () (@var "Vd292" $$unsorted)) % 0.46/0.68 (define @t44 () (@var "Vd289" $$unsorted)) % 0.46/0.68 (define @t45 () (@var "Vd290" $$unsorted)) % 0.46/0.68 (define @t46 () (@var "Vd283" $$unsorted)) % 0.46/0.68 (define @t47 () (@var "Vd281" $$unsorted)) % 0.46/0.68 (define @t48 () (tptp.less @t47 @t46)) % 0.46/0.68 (define @t49 () (@var "Vd282" $$unsorted)) % 0.46/0.68 (define @t50 () (tptp.less @t47 @t49)) % 0.46/0.68 (define @t51 () (tptp.leq @t49 @t46)) % 0.46/0.68 (define @t52 () (and @t51 @t50)) % 0.46/0.68 (define @t53 () (tptp.leq @t47 @t49)) % 0.46/0.68 (define @t54 () (tptp.less @t49 @t46)) % 0.46/0.68 (define @t55 () (and @t54 @t53)) % 0.46/0.68 (define @t56 () (or @t55 @t52)) % 0.46/0.68 (define @t57 () (forall (@list @t47 @t49 @t46) (=> @t56 @t48))) % 0.46/0.68 (define @t58 () (@var "Vd265" $$unsorted)) % 0.46/0.68 (define @t59 () (@var "Vd262" $$unsorted)) % 0.46/0.68 (define @t60 () (@var "Vd263" $$unsorted)) % 0.46/0.68 (define @t61 () (@var "Vd258" $$unsorted)) % 0.46/0.68 (define @t62 () (@var "Vd259" $$unsorted)) % 0.46/0.68 (define @t63 () (@var "Vd254" $$unsorted)) % 0.46/0.68 (define @t64 () (@var "Vd255" $$unsorted)) % 0.46/0.68 (define @t65 () (tptp.leq @t64 @t63)) % 0.46/0.68 (define @t66 () (tptp.geq @t63 @t64)) % 0.46/0.68 (define @t67 () (forall (@list @t63 @t64) (=> @t66 @t65))) % 0.46/0.68 (define @t68 () (@var "Vd249" $$unsorted)) % 0.46/0.68 (define @t69 () (@var "Vd250" $$unsorted)) % 0.46/0.68 (define @t70 () (@var "Vd244" $$unsorted)) % 0.46/0.68 (define @t71 () (@var "Vd245" $$unsorted)) % 0.46/0.68 (define @t72 () (tptp.greater @t71 @t70)) % 0.46/0.68 (define @t73 () (or @t72 (= @t71 @t70))) % 0.46/0.68 (define @t74 () (tptp.geq @t71 @t70)) % 0.46/0.68 (define @t75 () (= @t74 @t73)) % 0.46/0.68 (define @t76 () (@list @t70 @t71)) % 0.46/0.68 (define @t77 () (forall @t76 @t75)) % 0.46/0.68 (define @t78 () (@var "Vd226" $$unsorted)) % 0.46/0.68 (define @t79 () (@var "Vd227" $$unsorted)) % 0.46/0.68 (define @t80 () (tptp.greater @t79 @t78)) % 0.46/0.68 (define @t81 () (tptp.less @t78 @t79)) % 0.46/0.68 (define @t82 () (forall (@list @t78 @t79) (=> @t81 @t80))) % 0.46/0.68 (define @t83 () (@var "Vd208" $$unsorted)) % 0.46/0.68 (define @t84 () (@var "Vd209" $$unsorted)) % 0.46/0.68 (define @t85 () (tptp.less @t84 @t83)) % 0.46/0.68 (define @t86 () (tptp.greater @t83 @t84)) % 0.46/0.68 (define @t87 () (forall (@list @t83 @t84) (=> @t86 @t85))) % 0.46/0.68 (define @t88 () (@var "Vd204" $$unsorted)) % 0.46/0.68 (define @t89 () (@var "Vd203" $$unsorted)) % 0.46/0.68 (define @t90 () (tptp.less @t89 @t88)) % 0.46/0.68 (define @t91 () (tptp.greater @t89 @t88)) % 0.46/0.68 (define @t92 () (= @t89 @t88)) % 0.46/0.68 (define @t93 () (@list @t89 @t88)) % 0.46/0.68 (define @t94 () (not @t90)) % 0.46/0.68 (define @t95 () (not @t92)) % 0.46/0.68 (define @t96 () (or @t95 @t94)) % 0.46/0.68 (define @t97 () (forall @t93 @t96)) % 0.46/0.68 (define @t98 () (not @t91)) % 0.46/0.68 (define @t99 () (@var "Vd201" $$unsorted)) % 0.46/0.68 (define @t100 () (@var "Vd199" $$unsorted)) % 0.46/0.68 (define @t101 () (@var "Vd198" $$unsorted)) % 0.46/0.68 (define @t102 () (= @t101 (tptp.vplus @t100 @t99))) % 0.46/0.68 (define @t103 () (@list @t99)) % 0.46/0.68 (define @t104 () (exists @t103 @t102)) % 0.46/0.68 (define @t105 () (tptp.less @t100 @t101)) % 0.46/0.68 (define @t106 () (= @t105 @t104)) % 0.46/0.68 (define @t107 () (forall (@list @t101 @t100) @t106)) % 0.46/0.68 (define @t108 () (@var "Vd196" $$unsorted)) % 0.46/0.68 (define @t109 () (@var "Vd193" $$unsorted)) % 0.46/0.68 (define @t110 () (@var "Vd194" $$unsorted)) % 0.46/0.68 (define @t111 () (= @t110 (tptp.vplus @t109 @t108))) % 0.46/0.68 (define @t112 () (@list @t108)) % 0.46/0.68 (define @t113 () (exists @t112 @t111)) % 0.46/0.68 (define @t114 () (tptp.greater @t110 @t109)) % 0.46/0.68 (define @t115 () (= @t114 @t113)) % 0.46/0.68 (define @t116 () (forall (@list @t109 @t110) @t115)) % 0.46/0.68 (define @t117 () (@var "Vd125" $$unsorted)) % 0.46/0.68 (define @t118 () (@var "Vd120" $$unsorted)) % 0.46/0.68 (define @t119 () (@var "Vd121" $$unsorted)) % 0.46/0.68 (define @t120 () (exists (@list @t117) (= @t119 (tptp.vplus @t118 @t117)))) % 0.46/0.68 (define @t121 () (@var "Vd123" $$unsorted)) % 0.46/0.68 (define @t122 () (exists (@list @t121) (= @t118 (tptp.vplus @t119 @t121)))) % 0.46/0.68 (define @t123 () (= @t118 @t119)) % 0.46/0.68 (define @t124 () (@list @t118 @t119)) % 0.46/0.68 (define @t125 () (not @t120)) % 0.46/0.68 (define @t126 () (not @t123)) % 0.46/0.68 (define @t127 () (not @t122)) % 0.46/0.68 (define @t128 () (@var "Vd105" $$unsorted)) % 0.46/0.68 (define @t129 () (@var "Vd107" $$unsorted)) % 0.46/0.68 (define @t130 () (@var "Vd104" $$unsorted)) % 0.46/0.68 (define @t131 () (@var "Vd93" $$unsorted)) % 0.46/0.68 (define @t132 () (@var "Vd92" $$unsorted)) % 0.46/0.68 (define @t133 () (@var "Vd79" $$unsorted)) % 0.46/0.68 (define @t134 () (@var "Vd78" $$unsorted)) % 0.46/0.68 (define @t135 () (forall (@list @t134 @t133) (= (tptp.vplus @t133 @t134) (tptp.vplus @t134 @t133)))) % 0.46/0.68 (define @t136 () (@var "Vd69" $$unsorted)) % 0.46/0.68 (define @t137 () (@var "Vd68" $$unsorted)) % 0.46/0.68 (define @t138 () (@var "Vd59" $$unsorted)) % 0.46/0.68 (define @t139 () (@var "Vd48" $$unsorted)) % 0.46/0.68 (define @t140 () (@var "Vd47" $$unsorted)) % 0.46/0.68 (define @t141 () (@var "Vd46" $$unsorted)) % 0.46/0.68 (define @t142 () (@var "Vd42" $$unsorted)) % 0.46/0.68 (define @t143 () (@var "Vd43" $$unsorted)) % 0.46/0.68 (define @t144 () (@var "Vd24" $$unsorted)) % 0.46/0.68 (define @t145 () (@var "Vd16" $$unsorted)) % 0.46/0.68 (define @t146 () (@var "Vd8" $$unsorted)) % 0.46/0.68 (define @t147 () (@var "Vd7" $$unsorted)) % 0.46/0.68 (define @t148 () (@var "Vd4" $$unsorted)) % 0.46/0.68 (define @t149 () (@var "Vd3" $$unsorted)) % 0.46/0.68 (define @t150 () (@var "Vd1" $$unsorted)) % 0.46/0.68 (define @t151 () (tptp.vplus tptp.vd355 tptp.vd354)) % 0.46/0.68 (define @t152 () (tptp.vplus tptp.vd354 tptp.vd355)) % 0.46/0.68 (define @t153 () (= @t151 @t152)) % 0.46/0.68 (define @t154 () (= @t152 @t151)) % 0.46/0.68 (define @t155 () (@list false)) % 0.46/0.68 (define @t156 () (not @t10)) % 0.46/0.68 (define @t157 () (= tptp.vd355 tptp.vd356)) % 0.46/0.68 (define @t158 () (or @t9 @t157)) % 0.46/0.68 (define @t159 () (or @t9 (= tptp.vd356 tptp.vd355))) % 0.46/0.68 (define @t160 () (= @t6 @t159)) % 0.46/0.68 (define @t161 () (forall @t76 (= @t74 (or @t72 (= @t70 @t71))))) % 0.46/0.68 (define @t162 () (@list tptp.vd356 tptp.vd355)) % 0.46/0.68 (define @t163 () (= @t6 @t158)) % 0.46/0.68 (define @t164 () (@list @t161)) % 0.46/0.68 (define @t165 () (not @t7)) % 0.46/0.68 (define @t166 () (@list @t1 @t2)) % 0.46/0.68 (define @t167 () (tptp.less @t1 @t2)) % 0.46/0.68 (define @t168 () (not @t167)) % 0.46/0.68 (define @t169 () (or @t168 @t3)) % 0.46/0.68 (define @t170 () (@list true false)) % 0.46/0.68 (define @t171 () (tptp.vplus tptp.vd353 tptp.vd356)) % 0.46/0.68 (define @t172 () (tptp.less @t1 @t171)) % 0.46/0.68 (define @t173 () (not @t172)) % 0.46/0.68 (define @t174 () (not @t157)) % 0.46/0.68 (define @t175 () (= true false)) % 0.46/0.68 (define @t176 () (and @t168 @t157 @t172)) % 0.46/0.68 (define @t177 () (tptp.less tptp.vd354 tptp.vd353)) % 0.46/0.68 (define @t178 () (not @t177)) % 0.46/0.68 (define @t179 () (or @t178 @t172)) % 0.46/0.68 (define @t180 () (@list tptp.vd353 tptp.vd354)) % 0.46/0.68 (define @t181 () (not @t5)) % 0.46/0.68 (define @t182 () (or @t181 @t177)) % 0.46/0.68 (define @t183 () (tptp.vplus tptp.vd356 tptp.vd354)) % 0.46/0.68 (define @t184 () (tptp.greater @t151 @t183)) % 0.46/0.68 (define @t185 () (not @t9)) % 0.46/0.68 (define @t186 () (or @t185 @t184)) % 0.46/0.68 (define @t187 () (@list false false)) % 0.46/0.68 (define @t188 () (forall @t112 (not (= tptp.vd355 (tptp.vplus tptp.vd356 @t108))))) % 0.46/0.68 (define @t189 () (not @t188)) % 0.46/0.68 (define @t190 () (= @t9 @t189)) % 0.46/0.68 (define @t191 () (not @t16)) % 0.46/0.68 (define @t192 () (not @t17)) % 0.46/0.68 (define @t193 () (or @t185 @t181 @t3)) % 0.46/0.68 (define @t194 () (tptp.vplus tptp.vd356 (@quantifiers_skolemize @t188 0))) % 0.46/0.68 (define @t195 () (= tptp.vd355 @t194)) % 0.46/0.68 (define @t196 () (not @t195)) % 0.46/0.68 (define @t197 () (not @t196)) % 0.46/0.68 (define @t198 () (or @t5 (= tptp.vd354 tptp.vd353))) % 0.46/0.68 (define @t199 () (= @t8 @t198)) % 0.46/0.68 (define @t200 () (= tptp.vd353 tptp.vd354)) % 0.46/0.68 (define @t201 () (or @t5 @t200)) % 0.46/0.68 (define @t202 () (= @t8 @t201)) % 0.46/0.68 (define @t203 () (not @t8)) % 0.46/0.68 (define @t204 () (not @t184)) % 0.46/0.68 (define @t205 () (forall @t103 (not (= @t1 (tptp.vplus @t2 @t99))))) % 0.46/0.68 (define @t206 () (tptp.vplus @t2 (@quantifiers_skolemize @t205 0))) % 0.46/0.68 (define @t207 () (= @t1 @t206)) % 0.46/0.68 (define @t208 () (not @t207)) % 0.46/0.68 (define @t209 () (= @t1 @t183)) % 0.46/0.68 (define @t210 () (not @t209)) % 0.46/0.68 (define @t211 () (= @t2 (tptp.vplus tptp.vd355 tptp.vd353))) % 0.46/0.68 (define @t212 () (not @t211)) % 0.46/0.68 (define @t213 () (not @t200)) % 0.46/0.68 (define @t214 () (and @t4 @t207 @t211 @t195 @t200 @t209 @t184)) % 0.46/0.68 (define @t215 () (not @t205)) % 0.46/0.68 (define @t216 () (not @t208)) % 0.46/0.68 (define @t217 () (@list true)) % 0.46/0.68 (define @t218 () (tptp.less @t2 @t1)) % 0.46/0.68 (define @t219 () (= @t218 @t215)) % 0.46/0.68 (define @t220 () (not @t218)) % 0.46/0.68 (define @t221 () (= @t2 @t1)) % 0.46/0.68 (define @t222 () (or @t221 @t3 @t218)) % 0.46/0.68 (define @t223 () (not (tptp.less @t88 @t88))) % 0.46/0.68 (define @t224 () (not (= @t88 @t88))) % 0.46/0.68 (define @t225 () (or @t224 @t223)) % 0.46/0.68 (define @t226 () (@list @t88)) % 0.46/0.68 (define @t227 () (or @t95 @t95 @t94)) % 0.46/0.68 (define @t228 () (@list @t89)) % 0.46/0.68 (define @t229 () (forall @t228 @t96)) % 0.46/0.68 (define @t230 () (forall @t226 @t229)) % 0.46/0.68 (define @t231 () (forall (@list @t88 @t89) @t96)) % 0.46/0.68 (define @t232 () (tptp.less tptp.vd354 tptp.vd354)) % 0.46/0.68 (define @t233 () (tptp.leq tptp.vd354 tptp.vd353)) % 0.46/0.68 (define @t234 () (not @t233)) % 0.46/0.68 (define @t235 () (tptp.less tptp.vd353 tptp.vd354)) % 0.46/0.68 (define @t236 () (not @t235)) % 0.46/0.68 (define @t237 () (or @t236 @t234)) % 0.46/0.68 (define @t238 () (and @t237 (or (not (tptp.leq tptp.vd353 tptp.vd354)) @t178))) % 0.46/0.68 (define @t239 () (or @t238 @t232)) % 0.46/0.68 (define @t240 () (or @t203 @t233)) % 0.46/0.68 (define @t241 () (tptp.less @t2 @t152)) % 0.46/0.68 (define @t242 () (not @t241)) % 0.46/0.68 (define @t243 () (or @t242 @t235)) % 0.46/0.68 (define @t244 () (tptp.greater @t152 @t2)) % 0.46/0.68 (define @t245 () (not @t244)) % 0.46/0.68 (define @t246 () (or @t245 @t241)) % 0.46/0.68 (define @t247 () (and @t221 @t209 @t184 @t154)) % 0.46/0.68 (assume @p1 @t4) % 0.46/0.68 (assume @p2 (or @t10 @t7)) % 0.46/0.68 (assume @p3 @t19) % 0.46/0.68 (assume @p4 @t28) % 0.46/0.68 (assume @p5 (forall @t27 (=> (= @t25 @t24) (= @t21 @t20)))) % 0.46/0.68 (assume @p6 (forall @t27 (=> (tptp.greater @t25 @t24) (tptp.greater @t21 @t20)))) % 0.46/0.68 (assume @p7 @t37) % 0.46/0.68 (assume @p8 (forall @t36 (=> (= @t32 @t30) (= @t33 @t31)))) % 0.46/0.68 (assume @p9 @t40) % 0.46/0.68 (assume @p10 (forall (@list @t41 @t42) (tptp.greater (tptp.vplus @t41 @t42) @t41))) % 0.46/0.68 (assume @p11 (forall (@list @t44 @t45 @t43) (=> (and (tptp.leq @t45 @t43) (tptp.leq @t44 @t45)) (tptp.leq @t44 @t43)))) % 0.46/0.68 (assume @p12 @t57) % 0.46/0.68 (assume @p13 (forall (@list @t59 @t60 @t58) (=> (and (tptp.less @t60 @t58) (tptp.less @t59 @t60)) (tptp.less @t59 @t58)))) % 0.46/0.68 (assume @p14 (forall (@list @t61 @t62) (=> (tptp.leq @t61 @t62) (tptp.geq @t62 @t61)))) % 0.46/0.68 (assume @p15 @t67) % 0.46/0.68 (assume @p16 (forall (@list @t68 @t69) (= (tptp.leq @t69 @t68) (or (tptp.less @t69 @t68) (= @t69 @t68))))) % 0.46/0.68 (assume @p17 @t77) % 0.46/0.68 (assume @p18 @t82) % 0.46/0.68 (assume @p19 @t87) % 0.46/0.68 (assume @p20 (forall @t93 (or @t92 @t91 @t90))) % 0.46/0.68 (assume @p21 @t97) % 0.46/0.68 (assume @p22 (forall @t93 (or @t98 @t94))) % 0.46/0.68 (assume @p23 (forall @t93 (or @t95 @t98))) % 0.46/0.68 (assume @p24 @t107) % 0.46/0.68 (assume @p25 @t116) % 0.46/0.68 (assume @p26 (forall @t124 (or @t123 @t122 @t120))) % 0.46/0.68 (assume @p27 (forall @t124 (or @t126 @t125))) % 0.46/0.68 (assume @p28 (forall @t124 (or @t127 @t125))) % 0.46/0.68 (assume @p29 (forall @t124 (or @t126 @t127))) % 0.46/0.68 (assume @p30 (forall (@list @t130 @t128) (=> (not (= @t130 @t128)) (forall (@list @t129) (not (= (tptp.vplus @t129 @t130) (tptp.vplus @t129 @t128))))))) % 0.46/0.68 (assume @p31 (forall (@list @t132 @t131) (not (= @t131 (tptp.vplus @t132 @t131))))) % 0.46/0.68 (assume @p32 @t135) % 0.46/0.68 (assume @p33 (forall (@list @t137 @t136) (= (tptp.vplus (tptp.vsucc @t137) @t136) (tptp.vsucc (tptp.vplus @t137 @t136))))) % 0.46/0.68 (assume @p34 (forall (@list @t138) (= (tptp.vplus tptp.v1 @t138) (tptp.vsucc @t138)))) % 0.46/0.68 (assume @p35 (forall (@list @t141 @t140 @t139) (= (tptp.vplus (tptp.vplus @t141 @t140) @t139) (tptp.vplus @t141 (tptp.vplus @t140 @t139))))) % 0.46/0.68 (assume @p36 (forall (@list @t142 @t143) (and (= (tptp.vplus @t142 (tptp.vsucc @t143)) (tptp.vsucc (tptp.vplus @t142 @t143))) (= (tptp.vplus @t142 tptp.v1) (tptp.vsucc @t142))))) % 0.46/0.68 (assume @p37 (forall (@list @t144) (=> (not (= @t144 tptp.v1)) (= @t144 (tptp.vsucc (tptp.vskolem2 @t144)))))) % 0.46/0.68 (assume @p38 (forall (@list @t145) (not (= (tptp.vsucc @t145) @t145)))) % 0.46/0.68 (assume @p39 (forall (@list @t147 @t146) (=> (not (= @t147 @t146)) (not (= (tptp.vsucc @t147) (tptp.vsucc @t146)))))) % 0.46/0.68 (assume @p40 (forall (@list @t149 @t148) (=> (= (tptp.vsucc @t149) (tptp.vsucc @t148)) (= @t149 @t148)))) % 0.46/0.68 (assume @p41 (forall (@list @t150) (not (= (tptp.vsucc @t150) tptp.v1)))) % 0.46/0.68 (assume @p42 true) % 0.46/0.68 (step @p43 :rule instantiate :premises (@p32) :args ((@list tptp.vd356 tptp.vd354))) % 0.46/0.68 (step @p44 :rule eq-symm :args (@t151 @t152)) % 0.46/0.68 (step @p45 :rule refl :args (@t135)) % 0.46/0.68 (step @p46 :rule cong :premises (@p45 @p44) :args ((=> @t135 @t153))) % 0.46/0.68 (assume-push @p387 @t135) % 0.46/0.68 (step @p48 :rule instantiate :premises (@p32) :args ((@list tptp.vd354 tptp.vd355))) % 0.46/0.68 (step-pop @p388 :rule scope :premises (@p48)) % 0.46/0.68 (step @p49 :rule process_scope :premises (@p388) :args (@t153)) % 0.46/0.68 (step @p51 :rule eq_resolve :premises (@p49 @p46)) % 0.46/0.68 (step @p52 :rule implies_elim :premises (@p51)) % 0.46/0.68 (step @p53 :rule chain_m_resolution :premises (@p52 @p32) :args (@t154 @t155 (@list @t135))) % 0.46/0.68 (step @p54 :rule bool-impl-elim :args (@t39 @t38)) % 0.46/0.68 (step @p55 :rule cong :premises (@p54) :args (@t40)) % 0.46/0.68 (step @p56 :rule eq_resolve :premises (@p9 @p55)) % 0.46/0.68 (step @p57 :rule instantiate :premises (@p56) :args ((@list tptp.vd355 tptp.vd356 tptp.vd354))) % 0.46/0.68 (step @p58 :rule cnf_and_pos :args (@t10 0)) % 0.46/0.68 (step @p59 :rule reordering :premises (@p58) :args ((or @t9 @t156))) % 0.46/0.68 (step @p60 :rule cnf_or_pos :args (@t158)) % 0.46/0.68 (step @p61 :rule reordering :premises (@p60) :args ((or @t9 @t157 (not @t158)))) % 0.46/0.68 (step @p62 :rule eq-symm :args (@t71 @t70)) % 0.46/0.68 (step @p63 :rule refl :args (@t72)) % 0.46/0.68 (step @p64 :rule nary_cong :premises (@p63 @p62) :args (@t73)) % 0.46/0.68 (step @p65 :rule refl :args (@t74)) % 0.46/0.68 (step @p66 :rule cong :premises (@p65 @p64) :args (@t75)) % 0.46/0.68 (step @p67 :rule cong :premises (@p66) :args (@t77)) % 0.46/0.68 (step @p68 :rule eq_resolve :premises (@p17 @p67)) % 0.46/0.68 (step @p69 :rule eq-symm :args (tptp.vd356 tptp.vd355)) % 0.46/0.68 (step @p70 :rule refl :args (@t9)) % 0.46/0.68 (step @p71 :rule nary_cong :premises (@p70 @p69) :args (@t159)) % 0.46/0.68 (step @p72 :rule refl :args (@t6)) % 0.46/0.68 (step @p73 :rule cong :premises (@p72 @p71) :args (@t160)) % 0.46/0.68 (step @p74 :rule refl :args (@t161)) % 0.46/0.68 (step @p75 :rule cong :premises (@p74 @p73) :args ((=> @t161 @t160))) % 0.46/0.68 (assume-push @p389 @t161) % 0.46/0.68 (step @p77 :rule instantiate :premises (@p68) :args (@t162)) % 0.46/0.68 (step-pop @p390 :rule scope :premises (@p77)) % 0.46/0.68 (step @p78 :rule process_scope :premises (@p390) :args (@t160)) % 0.46/0.68 (step @p80 :rule eq_resolve :premises (@p78 @p75)) % 0.46/0.68 (step @p81 :rule implies_elim :premises (@p80)) % 0.46/0.68 (step @p82 :rule chain_m_resolution :premises (@p81 @p68) :args (@t163 @t155 @t164)) % 0.46/0.68 (step @p83 :rule cnf_equiv_pos1 :args (@t163)) % 0.46/0.68 (step @p84 :rule reordering :premises (@p83) :args ((or (not @t6) @t158 (not @t163)))) % 0.46/0.68 (step @p85 :rule cnf_and_pos :args (@t7 0)) % 0.46/0.68 (step @p86 :rule reordering :premises (@p85) :args ((or @t6 @t165))) % 0.46/0.68 (step @p87 :rule chain_m_resolution :premises (@p86 @p84 @p82 @p2 @p61 @p59) :args (@t158 (@list true false false true true) (@list @t6 @t163 @t7 @t158 @t10))) % 0.46/0.68 (step @p88 :rule bool-impl-elim :args (@t81 @t80)) % 0.46/0.68 (step @p89 :rule cong :premises (@p88) :args (@t82)) % 0.46/0.68 (step @p90 :rule eq_resolve :premises (@p18 @p89)) % 0.46/0.68 (step @p91 :rule instantiate :premises (@p90) :args (@t166)) % 0.46/0.68 (step @p92 :rule cnf_or_pos :args (@t169)) % 0.46/0.68 (step @p93 :rule reordering :premises (@p92) :args ((or @t3 @t168 (not @t169)))) % 0.46/0.68 (step @p94 :rule chain_m_resolution :premises (@p93 @p1 @p91) :args (@t168 @t170 (@list @t3 @t169))) % 0.46/0.68 (step @p95 :rule refl :args (@t173)) % 0.46/0.68 (step @p96 :rule bool-double-not-elim :args (@t167)) % 0.46/0.68 (step @p97 :rule refl :args (@t174)) % 0.46/0.68 (step @p98 :rule nary_cong :premises (@p97 @p96 @p95) :args ((or @t174 (not @t168) @t173))) % 0.46/0.68 (assume-push @p391 @t168) % 0.46/0.68 (assume-push @p392 @t157) % 0.46/0.68 (assume-push @p393 @t172) % 0.46/0.68 (step @p102 :rule evaluate :args (@t175)) % 0.46/0.68 (step @p103 :rule false_intro :premises (@p94)) % 0.46/0.68 (step @p104 :rule symm :premises (@p392)) % 0.46/0.68 (step @p105 :rule refl :args (tptp.vd353)) % 0.46/0.68 (step @p106 :rule cong :premises (@p105 @p104) :args (@t171)) % 0.46/0.68 (step @p107 :rule refl :args (@t1)) % 0.46/0.68 (step @p108 :rule cong :premises (@p107 @p106) :args (@t172)) % 0.46/0.68 (step @p109 :rule true_intro :premises (@p393)) % 0.46/0.68 (step @p110 :rule symm :premises (@p109)) % 0.46/0.68 (step @p111 :rule trans :premises (@p110 @p108 @p103)) % 0.46/0.68 (step @p112 false :rule eq_resolve :premises (@p111 @p102)) % 0.46/0.68 (step-pop @p394 :rule scope :premises (@p112)) % 0.46/0.68 (step-pop @p395 :rule scope :premises (@p394)) % 0.46/0.68 (step-pop @p396 :rule scope :premises (@p395)) % 0.46/0.68 (step @p113 :rule process_scope :premises (@p396) :args (false)) % 0.46/0.68 (assume-push @p397 @t157) % 0.46/0.68 (assume-push @p398 @t168) % 0.46/0.68 (assume-push @p399 @t172) % 0.46/0.68 (step @p120 :rule and_intro :premises (@p94 @p397 @p399)) % 0.46/0.68 (step-pop @p400 :rule scope :premises (@p120)) % 0.46/0.68 (step-pop @p401 :rule scope :premises (@p400)) % 0.46/0.68 (step-pop @p402 :rule scope :premises (@p401)) % 0.46/0.68 (step @p121 :rule process_scope :premises (@p402) :args (@t176)) % 0.46/0.68 (step @p125 :rule implies_elim :premises (@p121)) % 0.46/0.68 (step @p126 :rule resolution :premises (@p125 @p113) :args (true @t176)) % 0.46/0.68 (step @p127 :rule not_and :premises (@p126)) % 0.46/0.68 (step @p128 :rule eq_resolve :premises (@p127 @p98)) % 0.46/0.68 (step @p129 :rule reordering :premises (@p128) :args ((or @t167 @t174 @t173))) % 0.46/0.68 (step @p130 :rule cnf_and_pos :args (@t7 1)) % 0.46/0.68 (step @p131 :rule reordering :premises (@p130) :args ((or @t5 @t165))) % 0.46/0.68 (step @p132 :rule bool-impl-elim :args (@t35 @t34)) % 0.46/0.68 (step @p133 :rule cong :premises (@p132) :args (@t37)) % 0.46/0.68 (step @p134 :rule eq_resolve :premises (@p7 @p133)) % 0.46/0.68 (step @p135 :rule instantiate :premises (@p134) :args ((@list tptp.vd354 tptp.vd353 tptp.vd356))) % 0.46/0.68 (step @p136 :rule cnf_or_pos :args (@t179)) % 0.46/0.68 (step @p137 :rule reordering :premises (@p136) :args ((or @t178 @t172 (not @t179)))) % 0.46/0.68 (step @p138 :rule bool-impl-elim :args (@t86 @t85)) % 0.46/0.68 (step @p139 :rule cong :premises (@p138) :args (@t87)) % 0.46/0.68 (step @p140 :rule eq_resolve :premises (@p19 @p139)) % 0.46/0.68 (step @p141 :rule instantiate :premises (@p140) :args (@t180)) % 0.46/0.68 (step @p142 :rule cnf_or_pos :args (@t182)) % 0.46/0.68 (step @p143 :rule reordering :premises (@p142) :args ((or @t181 @t177 (not @t182)))) % 0.46/0.68 (step @p144 :rule chain_m_resolution :premises (@p143 @p141 @p137 @p135 @p131 @p129 @p94 @p2 @p87 @p59) :args (@t9 (@list false true false false true true false false true) (@list @t182 @t177 @t179 @t5 @t172 @t167 @t7 @t157 @t10))) % 0.46/0.68 (step @p145 :rule cnf_or_pos :args (@t186)) % 0.46/0.68 (step @p146 :rule reordering :premises (@p145) :args ((or @t185 @t184 (not @t186)))) % 0.46/0.68 (step @p147 :rule chain_m_resolution :premises (@p146 @p144 @p57) :args (@t184 @t187 (@list @t9 @t186))) % 0.46/0.68 (step @p148 :rule instantiate :premises (@p20) :args ((@list @t2 @t1))) % 0.46/0.68 (step @p149 :rule exists-elim :args ((= @t104 (not (forall @t103 (not @t102)))))) % 0.46/0.68 (step @p150 :rule refl :args (@t105)) % 0.46/0.68 (step @p151 :rule cong :premises (@p150 @p149) :args (@t106)) % 0.46/0.68 (step @p152 :rule cong :premises (@p151) :args (@t107)) % 0.46/0.68 (step @p153 :rule eq_resolve :premises (@p24 @p152)) % 0.46/0.68 (step @p154 :rule instantiate :premises (@p153) :args (@t166)) % 0.46/0.68 (step @p155 :rule exists-elim :args ((= @t113 (not (forall @t112 (not @t111)))))) % 0.46/0.68 (step @p156 :rule refl :args (@t114)) % 0.46/0.68 (step @p157 :rule cong :premises (@p156 @p155) :args (@t115)) % 0.46/0.68 (step @p158 :rule cong :premises (@p157) :args (@t116)) % 0.46/0.68 (step @p159 :rule eq_resolve :premises (@p25 @p158)) % 0.46/0.68 (step @p160 :rule instantiate :premises (@p159) :args (@t162)) % 0.46/0.68 (step @p161 :rule cnf_equiv_pos1 :args (@t190)) % 0.46/0.68 (step @p162 :rule reordering :premises (@p161) :args ((or @t185 @t189 (not @t190)))) % 0.46/0.68 (step @p163 :rule aci_norm :args ((= (or (or @t192 @t191) @t15) (or @t192 @t191 @t15)))) % 0.46/0.68 (step @p164 :rule refl :args (@t15)) % 0.46/0.68 (step @p165 :rule bool-and-de-morgan :args (@t17 @t16 true)) % 0.46/0.68 (step @p166 :rule nary_cong :premises (@p165 @p164) :args ((or (not @t18) @t15))) % 0.46/0.68 (step @p167 :rule trans :premises (@p166 @p163)) % 0.46/0.68 (step @p168 :rule bool-impl-elim :args (@t18 @t15)) % 0.46/0.68 (step @p169 :rule trans :premises (@p168 @p167)) % 0.46/0.68 (step @p170 :rule cong :premises (@p169) :args (@t19)) % 0.46/0.68 (step @p171 :rule eq_resolve :premises (@p3 @p170)) % 0.46/0.68 (step @p172 :rule instantiate :premises (@p171) :args ((@list tptp.vd353 tptp.vd354 tptp.vd355 tptp.vd356))) % 0.46/0.68 (step @p173 :rule cnf_or_pos :args (@t193)) % 0.46/0.68 (step @p174 :rule reordering :premises (@p173) :args ((or @t3 @t185 @t181 (not @t193)))) % 0.46/0.68 (step @p175 :rule refl :args (@t195)) % 0.46/0.68 (step @p176 :rule bool-double-not-elim :args (@t188)) % 0.46/0.68 (step @p177 :rule nary_cong :premises (@p176 @p175) :args ((or (not @t189) @t195))) % 0.46/0.68 (step @p178 :rule bool-double-not-elim :args (@t195)) % 0.46/0.68 (step @p179 :rule refl :args (@t189)) % 0.46/0.68 (step @p180 :rule cong :premises (@p179 @p178) :args ((=> @t189 @t197))) % 0.46/0.68 (assume-push @p403 @t189) % 0.46/0.68 (step @p182 :rule skolemize :premises (@p403)) % 0.46/0.68 (step-pop @p404 :rule scope :premises (@p182)) % 0.46/0.68 (step @p183 :rule process_scope :premises (@p404) :args (@t197)) % 0.46/0.68 (step @p185 :rule eq_resolve :premises (@p183 @p180)) % 0.46/0.68 (step @p186 :rule implies_elim :premises (@p185)) % 0.46/0.68 (step @p187 :rule eq_resolve :premises (@p186 @p177)) % 0.46/0.68 (step @p188 :rule cnf_and_pos :args (@t10 1)) % 0.46/0.68 (step @p189 :rule reordering :premises (@p188) :args ((or @t8 @t156))) % 0.46/0.68 (step @p190 :rule eq-symm :args (tptp.vd354 tptp.vd353)) % 0.46/0.68 (step @p191 :rule refl :args (@t5)) % 0.46/0.68 (step @p192 :rule nary_cong :premises (@p191 @p190) :args (@t198)) % 0.46/0.68 (step @p193 :rule refl :args (@t8)) % 0.46/0.68 (step @p194 :rule cong :premises (@p193 @p192) :args (@t199)) % 0.46/0.68 (step @p195 :rule cong :premises (@p74 @p194) :args ((=> @t161 @t199))) % 0.46/0.68 (assume-push @p405 @t161) % 0.46/0.68 (step @p197 :rule instantiate :premises (@p68) :args ((@list tptp.vd354 tptp.vd353))) % 0.46/0.68 (step-pop @p406 :rule scope :premises (@p197)) % 0.46/0.68 (step @p198 :rule process_scope :premises (@p406) :args (@t199)) % 0.46/0.68 (step @p200 :rule eq_resolve :premises (@p198 @p195)) % 0.46/0.68 (step @p201 :rule implies_elim :premises (@p200)) % 0.46/0.68 (step @p202 :rule chain_m_resolution :premises (@p201 @p68) :args (@t202 @t155 @t164)) % 0.46/0.68 (step @p203 :rule cnf_equiv_pos1 :args (@t202)) % 0.46/0.68 (step @p204 :rule reordering :premises (@p203) :args ((or @t203 @t201 (not @t202)))) % 0.46/0.68 (step @p205 :rule cnf_or_pos :args (@t201)) % 0.46/0.68 (step @p206 :rule reordering :premises (@p205) :args ((or @t5 @t200 (not @t201)))) % 0.46/0.68 (step @p207 :rule instantiate :premises (@p32) :args ((@list tptp.vd355 tptp.vd353))) % 0.46/0.68 (step @p208 :rule refl :args (@t204)) % 0.46/0.68 (step @p209 :rule refl :args (@t196)) % 0.46/0.68 (step @p210 :rule refl :args (@t208)) % 0.46/0.68 (step @p211 :rule refl :args (@t210)) % 0.46/0.68 (step @p212 :rule refl :args (@t212)) % 0.46/0.68 (step @p213 :rule refl :args (@t213)) % 0.46/0.68 (step @p214 :rule bool-double-not-elim :args (@t3)) % 0.46/0.68 (step @p215 :rule nary_cong :premises (@p214 @p213 @p212 @p211 @p210 @p209 @p208) :args ((or (not @t4) @t213 @t212 @t210 @t208 @t196 @t204))) % 0.46/0.68 (assume-push @p407 @t4) % 0.46/0.68 (assume-push @p408 @t207) % 0.46/0.68 (assume-push @p409 @t211) % 0.46/0.68 (assume-push @p410 @t195) % 0.46/0.68 (assume-push @p411 @t200) % 0.46/0.68 (assume-push @p412 @t209) % 0.46/0.68 (assume-push @p413 @t184) % 0.46/0.68 (step @p102 :rule evaluate :args (@t175)) % 0.46/0.68 (step @p223 :rule false_intro :premises (@p1)) % 0.46/0.68 (step @p224 :rule symm :premises (@p408)) % 0.46/0.68 (step @p225 :rule refl :args (@t2)) % 0.46/0.68 (step @p226 :rule cong :premises (@p225 @p224) :args ((tptp.greater @t2 @t206))) % 0.46/0.68 (step @p227 :rule symm :premises (@p43)) % 0.46/0.68 (step @p228 :rule trans :premises (@p227 @p408)) % 0.46/0.68 (step @p229 :rule symm :premises (@p207)) % 0.46/0.68 (step @p230 :rule symm :premises (@p411)) % 0.46/0.68 (step @p231 :rule symm :premises (@p410)) % 0.46/0.68 (step @p232 :rule cong :premises (@p231 @p230) :args ((tptp.vplus @t194 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@p241) :args (true @t214)) % 0.46/0.68 (step @p267 :rule not_and :premises (@p266)) % 0.46/0.68 (step @p268 :rule eq_resolve :premises (@p267 @p215)) % 0.46/0.68 (step @p269 :rule chain_m_resolution :premises (@p268 @p43 @p207 @p1 @p206 @p204 @p202 @p189 @p2 @p131 @p187 @p146 @p57 @p174 @p172 @p1 @p162 @p160) :args ((or @t185 @t208) (@list false false true false false false false false true false false false true false true true false) (@list @t209 @t211 @t3 @t200 @t201 @t202 @t8 @t10 @t7 @t195 @t184 @t186 @t5 @t193 @t3 @t188 @t190))) % 0.46/0.68 (step @p270 :rule chain_m_resolution :premises (@p269 @p144) :args (@t208 @t155 (@list @t9))) % 0.46/0.68 (step @p271 :rule refl :args (@t207)) % 0.46/0.68 (step @p272 :rule bool-double-not-elim :args (@t205)) % 0.46/0.68 (step @p273 :rule nary_cong :premises (@p272 @p271) :args ((or (not @t215) @t207))) % 0.46/0.68 (step @p274 :rule bool-double-not-elim :args (@t207)) % 0.46/0.68 (step @p275 :rule refl :args (@t215)) % 0.46/0.68 (step @p276 :rule cong :premises (@p275 @p274) :args ((=> @t215 @t216))) % 0.46/0.68 (assume-push @p435 @t215) % 0.46/0.68 (step @p278 :rule skolemize :premises (@p435)) % 0.46/0.68 (step-pop @p436 :rule scope :premises (@p278)) % 0.46/0.68 (step @p279 :rule process_scope :premises (@p436) :args (@t216)) % 0.46/0.68 (step @p281 :rule eq_resolve :premises (@p279 @p276)) % 0.46/0.68 (step @p282 :rule implies_elim :premises (@p281)) % 0.46/0.68 (step @p283 :rule eq_resolve :premises (@p282 @p273)) % 0.46/0.68 (step @p284 :rule chain_m_resolution :premises (@p283 @p270) :args (@t205 @t217 (@list @t207))) % 0.46/0.68 (step @p285 :rule cnf_equiv_pos1 :args (@t219)) % 0.46/0.68 (step @p286 :rule reordering :premises (@p285) :args ((or @t220 @t215 (not @t219)))) % 0.46/0.68 (step @p287 :rule chain_m_resolution :premises (@p286 @p284 @p154) :args (@t220 @t187 (@list @t205 @t219))) % 0.46/0.68 (step @p288 :rule cnf_or_pos :args (@t222)) % 0.46/0.68 (step @p289 :rule reordering :premises (@p288) :args ((or 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0.46/0.68 (step @p302 :rule nary_cong :premises (@p301 @p296) :args ((or (not @t56) @t48))) % 0.46/0.68 (step @p303 :rule bool-impl-elim :args (@t56 @t48)) % 0.46/0.68 (step @p304 :rule trans :premises (@p303 @p302)) % 0.46/0.68 (step @p305 :rule cong :premises (@p304) :args (@t57)) % 0.46/0.68 (step @p306 :rule eq_resolve :premises (@p12 @p305)) % 0.46/0.68 (step @p307 :rule instantiate :premises (@p306) :args ((@list tptp.vd354 tptp.vd353 tptp.vd354))) % 0.46/0.68 (step @p308 :rule aci_norm :args ((= (or false @t223) @t223))) % 0.46/0.68 (step @p309 :rule refl :args (@t223)) % 0.46/0.68 (step @p310 :rule evaluate :args ((not true))) % 0.46/0.68 (step @p311 :rule eq-refl :args (@t88)) % 0.46/0.68 (step @p312 :rule cong :premises (@p311) :args (@t224)) % 0.46/0.68 (step @p313 :rule trans :premises (@p312 @p310)) % 0.46/0.68 (step @p314 :rule nary_cong :premises (@p313 @p309) :args (@t225)) % 0.46/0.68 (step @p315 :rule trans :premises (@p314 @p308)) % 0.46/0.68 (step @p316 :rule cong 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@p340) :args (@t10 @t217 (@list @t7))) % 0.46/0.68 (step @p342 :rule chain_m_resolution :premises (@p189 @p341) :args (@t8 @t155 (@list @t10))) % 0.46/0.68 (step @p343 :rule cnf_or_pos :args (@t240)) % 0.46/0.68 (step @p344 :rule reordering :premises (@p343) :args ((or @t203 @t233 (not @t240)))) % 0.46/0.68 (step @p345 :rule chain_m_resolution :premises (@p344 @p342 @p338) :args (@t233 @t187 (@list @t8 @t240))) % 0.46/0.68 (step @p346 :rule cnf_or_pos :args (@t237)) % 0.46/0.68 (step @p347 :rule reordering :premises (@p346) :args ((or @t234 @t236 (not @t237)))) % 0.46/0.68 (step @p348 :rule chain_m_resolution :premises (@p347 @p345 @p334) :args (@t236 @t187 (@list @t233 @t237))) % 0.46/0.68 (step @p349 :rule cnf_or_pos :args (@t243)) % 0.46/0.68 (step @p350 :rule reordering :premises (@p349) :args ((or @t235 @t242 (not @t243)))) % 0.46/0.68 (step @p351 :rule chain_m_resolution :premises (@p350 @p348 @p295) :args (@t242 @t170 (@list @t235 @t243))) % 0.46/0.68 (step @p352 :rule cnf_or_pos :args (@t246)) % 0.46/0.68 (step @p353 :rule reordering :premises (@p352) :args ((or @t241 @t245 (not @t246)))) % 0.46/0.68 (step @p354 :rule chain_m_resolution :premises (@p353 @p351 @p291) :args (@t245 @t170 (@list @t241 @t246))) % 0.46/0.68 (assume-push @p437 @t221) % 0.46/0.68 (assume-push @p438 @t209) % 0.46/0.68 (assume-push @p439 @t184) % 0.46/0.68 (assume-push @p440 @t154) % 0.46/0.68 (assume-push @p441 @t184) % 0.46/0.68 (assume-push @p442 @t209) % 0.46/0.68 (assume-push @p443 @t221) % 0.46/0.68 (assume-push @p444 @t154) % 0.46/0.68 (step @p363 :rule true_intro :premises (@p439)) % 0.46/0.68 (step @p364 :rule trans :premises (@p437 @p43)) % 0.46/0.68 (step @p365 :rule refl :args (@t151)) % 0.46/0.68 (step @p366 :rule cong :premises (@p365 @p364) :args ((tptp.greater @t151 @t2))) % 0.46/0.68 (step @p225 :rule refl :args (@t2)) % 0.46/0.68 (step @p367 :rule cong :premises (@p53 @p225) :args (@t244)) % 0.46/0.68 (step @p368 :rule trans :premises (@p367 @p366 @p363)) % 0.46/0.68 (step @p369 :rule true_elim :premises (@p368)) % 0.46/0.68 (step-pop @p445 :rule scope :premises (@p369)) % 0.46/0.68 (step-pop @p446 :rule scope :premises (@p445)) % 0.46/0.68 (step-pop @p447 :rule scope :premises (@p446)) % 0.46/0.68 (step-pop @p448 :rule scope :premises (@p447)) % 0.46/0.68 (step @p370 :rule process_scope :premises (@p448) :args (@t244)) % 0.46/0.68 (step @p375 :rule and_intro :premises (@p439 @p43 @p437 @p53)) % 0.46/0.68 (step @p376 :rule modus_ponens :premises (@p375 @p370)) % 0.46/0.68 (step-pop @p449 :rule scope :premises (@p376)) % 0.46/0.68 (step-pop @p450 :rule scope :premises (@p449)) % 0.46/0.68 (step-pop @p451 :rule scope :premises (@p450)) % 0.46/0.68 (step-pop @p452 :rule scope :premises (@p451)) % 0.46/0.68 (step @p377 :rule process_scope :premises (@p452) :args (@t244)) % 0.46/0.68 (step @p382 :rule implies_elim :premises (@p377)) % 0.46/0.68 (step @p383 :rule cnf_and_neg :args (@t247)) % 0.46/0.68 (step @p384 :rule resolution :premises (@p383 @p382) :args (true @t247)) % 0.46/0.68 (step @p385 :rule reordering :premises (@p384) :args ((or (not @t221) @t210 @t244 @t204 (not @t154)))) % 0.46/0.68 (step @p386 false :rule chain_m_resolution :premises (@p385 @p354 @p290 @p147 @p53 @p43) :args (false (@list true false false false false) (@list @t244 @t221 @t184 @t154 @t209))) % 0.46/0.68 ) % 0.46/0.68 % SZS output end Proof % 0.46/0.68 % cvc5 exiting %------------------------------------------------------------------------------