%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM862+1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n025.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 08:40:52 AM UTC 2026 % Result : Theorem 0.71s 0.91s % Output : Proof 0.71s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM862+1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n025.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 12:30:31 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.71/0.91 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.71/0.91 % SZS status Theorem % 0.71/0.91 % SZS output start Proof % 0.71/0.91 ( % 0.71/0.91 (declare-sort $$unsorted 0) % 0.71/0.91 (declare-const tptp.minsol_model_ub (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.71/0.91 (declare-const tptp.minsol_model_max (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.71/0.91 (declare-const tptp.model_max (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.71/0.91 (declare-const tptp.c $$unsorted) % 0.71/0.91 (declare-const tptp.ub (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.71/0.91 (declare-const tptp.summation (-> $$unsorted $$unsorted)) % 0.71/0.91 (declare-const tptp.model_ub (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.71/0.91 (declare-const tptp.max (-> $$unsorted $$unsorted $$unsorted)) % 0.71/0.91 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted)) % 0.71/0.91 (declare-const tptp.lesseq (-> $$unsorted $$unsorted Bool)) % 0.71/0.91 (define @t1 () (@var "X" $$unsorted)) % 0.71/0.91 (define @t2 () (@var "Z" $$unsorted)) % 0.71/0.91 (define @t3 () (tptp.lesseq @t1 @t2)) % 0.71/0.91 (define @t4 () (@var "Y" $$unsorted)) % 0.71/0.91 (define @t5 () (tptp.lesseq @t4 @t2)) % 0.71/0.91 (define @t6 () (tptp.lesseq @t1 @t4)) % 0.71/0.91 (define @t7 () (and @t6 @t5)) % 0.71/0.91 (define @t8 () (@list @t1 @t4 @t2)) % 0.71/0.91 (define @t9 () (forall @t8 (=> @t7 @t3))) % 0.71/0.91 (define @t10 () (= @t1 @t4)) % 0.71/0.91 (define @t11 () (tptp.lesseq @t4 @t1)) % 0.71/0.91 (define @t12 () (and @t6 @t11)) % 0.71/0.91 (define @t13 () (@list @t1 @t4)) % 0.71/0.91 (define @t14 () (forall @t13 (=> @t12 @t10))) % 0.71/0.91 (define @t15 () (forall @t13 (or @t6 @t11))) % 0.71/0.91 (define @t16 () (forall @t8 (= @t6 (tptp.lesseq (tptp.sum @t2 @t1) (tptp.sum @t2 @t4))))) % 0.71/0.91 (define @t17 () (forall @t13 (= @t6 (tptp.lesseq (tptp.summation @t1) (tptp.summation @t4))))) % 0.71/0.91 (define @t18 () (not @t11)) % 0.71/0.91 (define @t19 () (tptp.max @t1 @t4)) % 0.71/0.91 (define @t20 () (or (= @t19 @t1) @t18)) % 0.71/0.91 (define @t21 () (forall @t13 @t20)) % 0.71/0.91 (define @t22 () (not @t6)) % 0.71/0.91 (define @t23 () (or (= @t19 @t4) @t22)) % 0.71/0.91 (define @t24 () (forall @t13 @t23)) % 0.71/0.91 (define @t25 () (tptp.ub @t1 @t4 @t2)) % 0.71/0.91 (define @t26 () (@var "N" $$unsorted)) % 0.71/0.91 (define @t27 () (tptp.model_max @t1 @t4 @t26)) % 0.71/0.91 (define @t28 () (@list @t1 @t4 @t26)) % 0.71/0.91 (define @t29 () (forall @t28 (= @t27 (tptp.lesseq (tptp.sum tptp.c (tptp.summation @t19)) @t26)))) % 0.71/0.91 (define @t30 () (tptp.sum tptp.c (tptp.summation @t2))) % 0.71/0.91 (define @t31 () (tptp.lesseq @t30 @t26)) % 0.71/0.91 (define @t32 () (and @t25 @t31)) % 0.71/0.91 (define @t33 () (@list @t2)) % 0.71/0.91 (define @t34 () (exists @t33 @t32)) % 0.71/0.91 (define @t35 () (tptp.model_ub @t1 @t4 @t26)) % 0.71/0.91 (define @t36 () (= @t35 @t34)) % 0.71/0.91 (define @t37 () (forall @t28 @t36)) % 0.71/0.91 (define @t38 () (tptp.lesseq @t26 @t2)) % 0.71/0.91 (define @t39 () (tptp.model_max @t1 @t4 @t2)) % 0.71/0.91 (define @t40 () (forall @t33 (=> @t39 @t38))) % 0.71/0.91 (define @t41 () (and @t27 @t40)) % 0.71/0.91 (define @t42 () (tptp.minsol_model_max @t1 @t4 @t26)) % 0.71/0.91 (define @t43 () (= @t42 @t41)) % 0.71/0.91 (define @t44 () (forall @t28 @t43)) % 0.71/0.91 (define @t45 () (tptp.model_ub @t1 @t4 @t2)) % 0.71/0.91 (define @t46 () (forall @t33 (=> @t45 @t38))) % 0.71/0.91 (define @t47 () (and @t35 @t46)) % 0.71/0.91 (define @t48 () (tptp.minsol_model_ub @t1 @t4 @t26)) % 0.71/0.91 (define @t49 () (= @t48 @t47)) % 0.71/0.91 (define @t50 () (forall @t28 @t49)) % 0.71/0.91 (define @t51 () (forall @t8 (= (tptp.minsol_model_ub @t1 @t4 @t2) (tptp.minsol_model_max @t1 @t4 @t2)))) % 0.71/0.91 (define @t52 () (@quantifiers_skolemize @t51 1)) % 0.71/0.91 (define @t53 () (@quantifiers_skolemize @t51 0)) % 0.71/0.91 (define @t54 () (tptp.max @t53 @t52)) % 0.71/0.91 (define @t55 () (@quantifiers_skolemize @t51 2)) % 0.71/0.91 (define @t56 () (tptp.lesseq @t55 @t2)) % 0.71/0.91 (define @t57 () (forall @t33 (or (not (tptp.model_max @t53 @t52 @t2)) @t56))) % 0.71/0.91 (define @t58 () (tptp.model_max @t53 @t52 @t55)) % 0.71/0.91 (define @t59 () (and @t58 @t57)) % 0.71/0.91 (define @t60 () (not @t59)) % 0.71/0.91 (define @t61 () (@quantifiers_skolemize @t57 0)) % 0.71/0.91 (define @t62 () (tptp.lesseq @t55 @t61)) % 0.71/0.91 (define @t63 () (tptp.model_max @t53 @t52 @t61)) % 0.71/0.91 (define @t64 () (not @t63)) % 0.71/0.91 (define @t65 () (or @t64 @t62)) % 0.71/0.91 (define @t66 () (not @t65)) % 0.71/0.91 (define @t67 () (not @t57)) % 0.71/0.91 (define @t68 () (@list @t53 @t52 @t55)) % 0.71/0.91 (define @t69 () (tptp.minsol_model_max @t53 @t52 @t55)) % 0.71/0.91 (define @t70 () (= @t69 @t59)) % 0.71/0.91 (define @t71 () (not @t70)) % 0.71/0.91 (define @t72 () (@list @t53 @t52 @t61)) % 0.71/0.91 (define @t73 () (tptp.summation @t54)) % 0.71/0.91 (define @t74 () (tptp.sum tptp.c @t73)) % 0.71/0.91 (define @t75 () (tptp.lesseq @t74 @t61)) % 0.71/0.91 (define @t76 () (= @t63 @t75)) % 0.71/0.91 (define @t77 () (tptp.model_ub @t53 @t52 @t61)) % 0.71/0.91 (define @t78 () (not @t77)) % 0.71/0.91 (define @t79 () (or @t78 @t62)) % 0.71/0.91 (define @t80 () (not @t79)) % 0.71/0.91 (define @t81 () (not @t75)) % 0.71/0.91 (define @t82 () (tptp.ub @t53 @t52 @t54)) % 0.71/0.91 (define @t83 () (not @t82)) % 0.71/0.91 (define @t84 () (or @t83 @t81)) % 0.71/0.91 (define @t85 () (forall @t33 (not @t32))) % 0.71/0.91 (define @t86 () (not @t85)) % 0.71/0.91 (define @t87 () (not (tptp.ub @t53 @t52 @t2))) % 0.71/0.91 (define @t88 () (forall @t33 (or @t87 (not (tptp.lesseq @t30 @t61))))) % 0.71/0.91 (define @t89 () (not @t88)) % 0.71/0.91 (define @t90 () (= @t77 @t89)) % 0.71/0.91 (define @t91 () (not @t90)) % 0.71/0.91 (define @t92 () (@list @t54)) % 0.71/0.91 (define @t93 () (tptp.minsol_model_ub @t53 @t52 @t55)) % 0.71/0.91 (define @t94 () (= @t93 @t69)) % 0.71/0.91 (define @t95 () (not (tptp.model_ub @t53 @t52 @t2))) % 0.71/0.91 (define @t96 () (forall @t33 (or @t95 @t56))) % 0.71/0.91 (define @t97 () (tptp.model_ub @t53 @t52 @t55)) % 0.71/0.91 (define @t98 () (and @t97 @t96)) % 0.71/0.91 (define @t99 () (= @t93 @t98)) % 0.71/0.91 (define @t100 () (not @t99)) % 0.71/0.91 (define @t101 () (not @t93)) % 0.71/0.91 (define @t102 () (not @t98)) % 0.71/0.91 (define @t103 () (forall @t33 (or @t87 (not (tptp.lesseq @t30 @t55))))) % 0.71/0.91 (define @t104 () (not @t103)) % 0.71/0.91 (define @t105 () (= @t97 @t104)) % 0.71/0.91 (define @t106 () (@quantifiers_skolemize @t103 0)) % 0.71/0.91 (define @t107 () (tptp.summation @t106)) % 0.71/0.91 (define @t108 () (tptp.sum tptp.c @t107)) % 0.71/0.91 (define @t109 () (@list @t108)) % 0.71/0.91 (define @t110 () (tptp.lesseq @t55 @t108)) % 0.71/0.91 (define @t111 () (tptp.model_ub @t53 @t52 @t108)) % 0.71/0.91 (define @t112 () (not @t111)) % 0.71/0.91 (define @t113 () (or @t112 @t110)) % 0.71/0.91 (define @t114 () (tptp.lesseq @t74 @t55)) % 0.71/0.91 (define @t115 () (= @t58 @t114)) % 0.71/0.91 (define @t116 () (not @t115)) % 0.71/0.91 (define @t117 () (not @t114)) % 0.71/0.91 (define @t118 () (tptp.lesseq @t108 @t55)) % 0.71/0.91 (define @t119 () (not @t118)) % 0.71/0.91 (define @t120 () (tptp.ub @t53 @t52 @t106)) % 0.71/0.91 (define @t121 () (not @t120)) % 0.71/0.91 (define @t122 () (or @t121 @t119)) % 0.71/0.91 (define @t123 () (not @t122)) % 0.71/0.91 (define @t124 () (tptp.lesseq @t52 @t106)) % 0.71/0.91 (define @t125 () (tptp.lesseq @t53 @t106)) % 0.71/0.91 (define @t126 () (and @t125 @t124)) % 0.71/0.91 (define @t127 () (= @t120 @t126)) % 0.71/0.91 (define @t128 () (tptp.lesseq @t108 @t108)) % 0.71/0.91 (define @t129 () (not @t128)) % 0.71/0.91 (define @t130 () (or @t121 @t129)) % 0.71/0.91 (define @t131 () (not @t126)) % 0.71/0.91 (define @t132 () (forall @t33 (or @t87 (not (tptp.lesseq @t30 @t108))))) % 0.71/0.91 (define @t133 () (@list @t53 @t52 @t108)) % 0.71/0.91 (define @t134 () (not @t132)) % 0.71/0.91 (define @t135 () (= @t111 @t134)) % 0.71/0.91 (define @t136 () (not @t135)) % 0.71/0.91 (define @t137 () (or @t22 @t18 @t10)) % 0.71/0.91 (define @t138 () (not @t110)) % 0.71/0.91 (define @t139 () (or @t119 @t138 (= @t108 @t55))) % 0.71/0.91 (define @t140 () (forall @t13 @t137)) % 0.71/0.91 (define @t141 () (= @t55 @t108)) % 0.71/0.91 (define @t142 () (or @t119 @t138 @t141)) % 0.71/0.91 (define @t143 () (@list false)) % 0.71/0.91 (define @t144 () (@list @t140)) % 0.71/0.91 (define @t145 () (= @t53 @t54)) % 0.71/0.91 (define @t146 () (tptp.lesseq @t54 @t106)) % 0.71/0.91 (define @t147 () (and @t145 @t125)) % 0.71/0.91 (define @t148 () (and @t141 @t111)) % 0.71/0.91 (define @t149 () (not @t141)) % 0.71/0.91 (define @t150 () (tptp.lesseq @t73 @t107)) % 0.71/0.91 (define @t151 () (= @t146 @t150)) % 0.71/0.91 (define @t152 () (= @t150 @t146)) % 0.71/0.91 (define @t153 () (@list @t17)) % 0.71/0.91 (define @t154 () (tptp.lesseq @t74 @t108)) % 0.71/0.91 (define @t155 () (= @t150 @t154)) % 0.71/0.91 (define @t156 () (= @t154 @t150)) % 0.71/0.91 (define @t157 () (@list @t16)) % 0.71/0.91 (define @t158 () (and @t141 @t154)) % 0.71/0.91 (define @t159 () (not @t154)) % 0.71/0.91 (define @t160 () (not @t145)) % 0.71/0.91 (define @t161 () (@list @t53 @t52)) % 0.71/0.91 (define @t162 () (tptp.lesseq @t52 @t53)) % 0.71/0.91 (define @t163 () (not @t162)) % 0.71/0.91 (define @t164 () (or @t145 @t163)) % 0.71/0.91 (define @t165 () (tptp.lesseq @t53 @t52)) % 0.71/0.91 (define @t166 () (or @t165 @t162)) % 0.71/0.91 (define @t167 () (not @t165)) % 0.71/0.91 (define @t168 () (= @t52 @t54)) % 0.71/0.91 (define @t169 () (or @t168 @t167)) % 0.71/0.91 (define @t170 () (and @t168 @t124)) % 0.71/0.91 (define @t171 () (not @t58)) % 0.71/0.91 (define @t172 () (@list @t74 @t55)) % 0.71/0.91 (define @t173 () (tptp.max @t74 @t55)) % 0.71/0.91 (define @t174 () (= @t55 @t173)) % 0.71/0.91 (define @t175 () (or @t174 @t117)) % 0.71/0.91 (define @t176 () (or @t83 @t117)) % 0.71/0.91 (define @t177 () (tptp.model_max @t53 @t52 @t108)) % 0.71/0.91 (define @t178 () (not @t177)) % 0.71/0.91 (define @t179 () (or @t178 @t110)) % 0.71/0.91 (define @t180 () (@list @t74)) % 0.71/0.91 (define @t181 () (tptp.lesseq @t55 @t74)) % 0.71/0.91 (define @t182 () (tptp.model_max @t53 @t52 @t74)) % 0.71/0.91 (define @t183 () (not @t182)) % 0.71/0.91 (define @t184 () (or @t183 @t181)) % 0.71/0.91 (define @t185 () (tptp.lesseq @t74 @t74)) % 0.71/0.91 (define @t186 () (= @t182 @t185)) % 0.71/0.91 (define @t187 () (= @t185 @t182)) % 0.71/0.91 (define @t188 () (@list @t29)) % 0.71/0.91 (define @t189 () (@list false false)) % 0.71/0.91 (define @t190 () (not @t181)) % 0.71/0.91 (define @t191 () (= @t74 @t173)) % 0.71/0.91 (define @t192 () (or @t191 @t190)) % 0.71/0.91 (define @t193 () (tptp.minsol_model_ub @t53 @t52 @t108)) % 0.71/0.91 (define @t194 () (not @t193)) % 0.71/0.91 (define @t195 () (and @t101 @t141)) % 0.71/0.91 (define @t196 () (forall @t33 (or @t95 (tptp.lesseq @t108 @t2)))) % 0.71/0.91 (define @t197 () (and @t111 @t196)) % 0.71/0.91 (define @t198 () (= @t193 @t197)) % 0.71/0.91 (define @t199 () (not @t196)) % 0.71/0.91 (define @t200 () (@quantifiers_skolemize @t196 0)) % 0.71/0.91 (define @t201 () (tptp.lesseq @t108 @t200)) % 0.71/0.91 (define @t202 () (tptp.model_ub @t53 @t52 @t200)) % 0.71/0.91 (define @t203 () (not @t202)) % 0.71/0.91 (define @t204 () (or @t203 @t201)) % 0.71/0.91 (define @t205 () (not @t204)) % 0.71/0.91 (define @t206 () (forall @t33 (or @t87 (not (tptp.lesseq @t30 @t200))))) % 0.71/0.91 (define @t207 () (not @t206)) % 0.71/0.91 (define @t208 () (= @t202 @t207)) % 0.71/0.91 (define @t209 () (@quantifiers_skolemize @t206 0)) % 0.71/0.91 (define @t210 () (tptp.summation @t209)) % 0.71/0.91 (define @t211 () (tptp.sum tptp.c @t210)) % 0.71/0.91 (define @t212 () (tptp.lesseq @t211 @t200)) % 0.71/0.91 (define @t213 () (not @t212)) % 0.71/0.91 (define @t214 () (tptp.ub @t53 @t52 @t209)) % 0.71/0.91 (define @t215 () (not @t214)) % 0.71/0.91 (define @t216 () (or @t215 @t213)) % 0.71/0.91 (define @t217 () (not @t216)) % 0.71/0.91 (define @t218 () (tptp.lesseq @t52 @t209)) % 0.71/0.91 (define @t219 () (tptp.lesseq @t53 @t209)) % 0.71/0.91 (define @t220 () (and @t219 @t218)) % 0.71/0.91 (define @t221 () (= @t214 @t220)) % 0.71/0.91 (define @t222 () (not @t220)) % 0.71/0.91 (define @t223 () (tptp.lesseq @t200 @t108)) % 0.71/0.91 (define @t224 () (or @t201 @t223)) % 0.71/0.91 (define @t225 () (tptp.lesseq @t74 @t211)) % 0.71/0.91 (define @t226 () (tptp.lesseq @t108 @t211)) % 0.71/0.91 (define @t227 () (and @t141 @t191 @t174 @t225)) % 0.71/0.91 (define @t228 () (not @t225)) % 0.71/0.91 (define @t229 () (not @t174)) % 0.71/0.91 (define @t230 () (not @t191)) % 0.71/0.91 (define @t231 () (not @t5)) % 0.71/0.91 (define @t232 () (tptp.lesseq @t200 @t211)) % 0.71/0.91 (define @t233 () (not @t226)) % 0.71/0.91 (define @t234 () (not @t223)) % 0.71/0.91 (define @t235 () (or @t234 @t233 @t232)) % 0.71/0.91 (define @t236 () (not @t232)) % 0.71/0.91 (define @t237 () (or @t213 @t236 (= @t211 @t200))) % 0.71/0.91 (define @t238 () (= @t200 @t211)) % 0.71/0.91 (define @t239 () (or @t213 @t236 @t238)) % 0.71/0.91 (define @t240 () (not @t238)) % 0.71/0.91 (define @t241 () (not @t201)) % 0.71/0.91 (define @t242 () (and @t241 @t238 @t141 @t174 @t191 @t225)) % 0.71/0.91 (define @t243 () (tptp.lesseq @t73 @t210)) % 0.71/0.91 (define @t244 () (= @t243 @t225)) % 0.71/0.91 (define @t245 () (= @t225 @t243)) % 0.71/0.91 (define @t246 () (tptp.lesseq @t54 @t209)) % 0.71/0.91 (define @t247 () (= @t246 @t243)) % 0.71/0.91 (define @t248 () (= @t243 @t246)) % 0.71/0.91 (define @t249 () (not @t246)) % 0.71/0.91 (define @t250 () (not @t219)) % 0.71/0.91 (define @t251 () (not @t249)) % 0.71/0.91 (define @t252 () (= false true)) % 0.71/0.91 (define @t253 () (and @t219 @t145 @t249)) % 0.71/0.91 (define @t254 () (not @t218)) % 0.71/0.91 (define @t255 () (not @t168)) % 0.71/0.91 (define @t256 () (and @t218 @t168 @t249)) % 0.71/0.91 (define @t257 () (= @t177 @t154)) % 0.71/0.91 (define @t258 () (= @t154 @t177)) % 0.71/0.91 (define @t259 () (tptp.lesseq @t52 @t54)) % 0.71/0.91 (define @t260 () (tptp.lesseq @t53 @t54)) % 0.71/0.91 (define @t261 () (and @t260 @t259)) % 0.71/0.91 (define @t262 () (= @t82 @t261)) % 0.71/0.91 (define @t263 () (not @t261)) % 0.71/0.91 (define @t264 () (@list true false)) % 0.71/0.91 (define @t265 () (tptp.lesseq @t54 @t54)) % 0.71/0.91 (define @t266 () (tptp.lesseq @t54 @t52)) % 0.71/0.91 (define @t267 () (and @t168 @t265)) % 0.71/0.91 (define @t268 () (tptp.ub @t53 @t54 @t52)) % 0.71/0.91 (define @t269 () (not @t268)) % 0.71/0.91 (define @t270 () (and @t168 @t83)) % 0.71/0.91 (define @t271 () (and @t165 @t266)) % 0.71/0.91 (define @t272 () (= @t268 @t271)) % 0.71/0.91 (define @t273 () (and @t145 @t162)) % 0.71/0.91 (define @t274 () (and @t145 @t265)) % 0.71/0.91 (assume @p1 (forall (@list @t1) (tptp.lesseq @t1 @t1))) % 0.71/0.91 (assume @p2 @t9) % 0.71/0.91 (assume @p3 @t14) % 0.71/0.91 (assume @p4 @t15) % 0.71/0.91 (assume @p5 @t16) % 0.71/0.91 (assume @p6 @t17) % 0.71/0.91 (assume @p7 @t21) % 0.71/0.91 (assume @p8 @t24) % 0.71/0.91 (assume @p9 (forall @t8 (= @t25 (and @t3 @t5)))) % 0.71/0.91 (assume @p10 @t29) % 0.71/0.91 (assume @p11 @t37) % 0.71/0.91 (assume @p12 @t44) % 0.71/0.91 (assume @p13 @t50) % 0.71/0.91 (assume @p14 (not @t51)) % 0.71/0.91 (assume @p15 true) % 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0.71/0.91 (step @p116 :rule nary_cong :premises (@p115 @p114) :args ((or (not @t104) @t123))) % 0.71/0.91 (assume-push @p756 @t104) % 0.71/0.91 (step @p118 :rule skolemize :premises (@p756)) % 0.71/0.91 (step-pop @p757 :rule scope :premises (@p118)) % 0.71/0.91 (step @p119 :rule process_scope :premises (@p757) :args (@t123)) % 0.71/0.91 (step @p121 :rule implies_elim :premises (@p119)) % 0.71/0.91 (step @p122 :rule eq_resolve :premises (@p121 @p116)) % 0.71/0.91 (step @p123 :rule bool-double-not-elim :args (@t120)) % 0.71/0.91 (step @p124 :rule refl :args (@t122)) % 0.71/0.91 (step @p125 :rule nary_cong :premises (@p124 @p123) :args ((or @t122 (not @t121)))) % 0.71/0.91 (step @p126 :rule cnf_or_neg :args (@t122 0)) % 0.71/0.91 (step @p127 :rule eq_resolve :premises (@p126 @p125)) % 0.71/0.91 (step @p128 :rule reordering :premises (@p127) :args ((or @t120 @t122))) % 0.71/0.91 (step @p129 :rule bool-double-not-elim :args (@t118)) % 0.71/0.91 (step @p130 :rule nary_cong :premises (@p124 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eq_resolve :premises (@p693 @p673)) % 0.71/0.92 (step @p695 :rule cnf_and_neg :args (@t271)) % 0.71/0.92 (step @p696 :rule reordering :premises (@p695) :args ((or @t167 @t271 (not @t266)))) % 0.71/0.92 (step @p697 :rule instantiate :premises (@p9) :args ((@list @t53 @t54 @t52))) % 0.71/0.92 (step @p698 :rule cnf_equiv_pos2 :args (@t272)) % 0.71/0.92 (step @p699 :rule reordering :premises (@p698) :args ((or @t268 (not @t271) (not @t272)))) % 0.71/0.92 (step @p700 :rule chain_m_resolution :premises (@p699 @p697 @p696 @p694 @p670 @p650 @p293 @p291) :args ((or @t167 @t82) (@list false false true false false false false) (@list @t272 @t271 @t268 @t266 @t265 @t168 @t169))) % 0.71/0.92 (step @p701 :rule chain_m_resolution :premises (@p700 @p646) :args (@t167 (@list true) (@list @t82))) % 0.71/0.92 (step @p702 :rule chain_m_resolution :premises (@p285 @p701 @p283) :args (@t162 @t264 (@list @t165 @t166))) % 0.71/0.92 (step @p703 :rule chain_m_resolution :premises (@p280 @p702 @p278) :args (@t145 @t189 (@list @t162 @t164))) % 0.71/0.92 (assume-push @p908 @t145) % 0.71/0.92 (assume-push @p909 @t162) % 0.71/0.92 (assume-push @p910 @t162) % 0.71/0.92 (assume-push @p911 @t145) % 0.71/0.92 (step @p708 :rule true_intro :premises (@p909)) % 0.71/0.92 (step @p709 :rule symm :premises (@p908)) % 0.71/0.92 (step @p207 :rule refl :args (@t52)) % 0.71/0.92 (step @p710 :rule cong :premises (@p207 @p709) :args (@t259)) % 0.71/0.92 (step @p711 :rule trans :premises (@p710 @p708)) % 0.71/0.92 (step @p712 :rule true_elim :premises (@p711)) % 0.71/0.92 (step-pop @p912 :rule scope :premises (@p712)) % 0.71/0.92 (step-pop @p913 :rule scope :premises (@p912)) % 0.71/0.92 (step @p713 :rule process_scope :premises (@p913) :args (@t259)) % 0.71/0.92 (step @p716 :rule and_intro :premises (@p909 @p908)) % 0.71/0.92 (step @p717 :rule modus_ponens :premises (@p716 @p713)) % 0.71/0.92 (step-pop @p914 :rule scope :premises (@p717)) % 0.71/0.92 (step-pop @p915 :rule scope :premises (@p914)) % 0.71/0.92 (step @p718 :rule process_scope :premises (@p915) :args (@t259)) % 0.71/0.92 (step @p721 :rule implies_elim :premises (@p718)) % 0.71/0.92 (step @p722 :rule cnf_and_neg :args (@t273)) % 0.71/0.92 (step @p723 :rule resolution :premises (@p722 @p721) :args (true @t273)) % 0.71/0.92 (step @p724 :rule reordering :premises (@p723) :args ((or @t163 @t160 @t259))) % 0.71/0.92 (step @p725 :rule chain_m_resolution :premises (@p724 @p702 @p703) :args (@t259 @t189 (@list @t162 @t145))) % 0.71/0.92 (assume-push @p916 @t145) % 0.71/0.92 (assume-push @p917 @t265) % 0.71/0.92 (assume-push @p918 @t265) % 0.71/0.92 (assume-push @p919 @t145) % 0.71/0.92 (step @p655 :rule true_intro :premises (@p650)) % 0.71/0.92 (step @p656 :rule refl :args (@t54)) % 0.71/0.92 (step @p730 :rule cong :premises (@p916 @p656) :args (@t260)) % 0.71/0.92 (step @p731 :rule trans :premises (@p730 @p655)) % 0.71/0.92 (step @p732 :rule true_elim :premises (@p731)) % 0.71/0.92 (step-pop @p920 :rule scope :premises (@p732)) % 0.71/0.92 (step-pop @p921 :rule scope :premises (@p920)) % 0.71/0.92 (step @p733 :rule process_scope :premises (@p921) :args (@t260)) % 0.71/0.92 (step @p736 :rule and_intro :premises (@p650 @p916)) % 0.71/0.92 (step @p737 :rule modus_ponens :premises (@p736 @p733)) % 0.71/0.92 (step-pop @p922 :rule scope :premises (@p737)) % 0.71/0.92 (step-pop @p923 :rule scope :premises (@p922)) % 0.71/0.92 (step @p738 :rule process_scope :premises (@p923) :args (@t260)) % 0.71/0.92 (step @p741 :rule implies_elim :premises (@p738)) % 0.71/0.92 (step @p742 :rule cnf_and_neg :args (@t274)) % 0.71/0.92 (step @p743 :rule resolution :premises (@p742 @p741) :args (true @t274)) % 0.71/0.92 (step @p744 :rule chain_m_resolution :premises (@p743 @p703 @p650) :args (@t260 @t189 (@list @t145 @t265))) % 0.71/0.92 (step @p745 :rule cnf_and_neg :args (@t261)) % 0.71/0.92 (step @p746 :rule reordering :premises (@p745) :args ((or (not @t260) @t261 (not @t259)))) % 0.71/0.92 (step @p747 false :rule chain_m_resolution :premises (@p746 @p744 @p725 @p649) :args (false (@list false false true) (@list @t260 @t259 @t261))) % 0.71/0.92 ) % 0.71/0.92 % SZS output end Proof % 0.71/0.92 % cvc5 exiting %------------------------------------------------------------------------------