%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX073_1 : TPTP v9.2.1. Released v9.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n024.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 09:07:05 AM UTC 2026 % Result : Theorem 0.45s 1.00s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SWX073_1 : TPTP v9.2.1. Released v9.1.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.09/0.25 % Computer : n024.cluster.edu % 0.09/0.25 % Model : x86_64 x86_64 % 0.09/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.25 % Memory : 8042.1875MB % 0.09/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.09/0.25 % CPULimit : 300 % 0.09/0.25 % WCLimit : 300 % 0.09/0.25 % DateTime : Tue Jun 2 17:55:15 EDT 2026 % 0.09/0.25 % CPUTime : % 0.16/0.33 %----Proving TF0_ARI % 0.45/1.00 --- Run --finite-model-find --decision=internal at 45... % 0.45/1.00 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 0.45/1.00 % SZS status Theorem % 0.45/1.00 % SZS output start Proof % 0.45/1.00 ( % 0.45/1.00 (declare-sort tptp.symbol 0) % 0.45/1.00 (declare-sort tptp.general 0) % 0.45/1.00 (declare-const tptp.p__greater__ (-> tptp.general tptp.general Bool)) % 0.45/1.00 (declare-const tptp.p__greater_equal__ (-> tptp.general tptp.general Bool)) % 0.45/1.00 (declare-const tptp.p__less__ (-> tptp.general tptp.general Bool)) % 0.45/1.00 (declare-const tptp.p__less_equal__ (-> tptp.general tptp.general Bool)) % 0.45/1.00 (declare-const tptp.hp (-> tptp.general Bool)) % 0.45/1.00 (declare-const tptp.c__infimum__ tptp.general) % 0.45/1.00 (declare-const tptp.tp (-> tptp.general Bool)) % 0.45/1.00 (declare-const tptp.c__supremum__ tptp.general) % 0.45/1.00 (declare-const tptp.p__is_symbolic__ (-> tptp.general Bool)) % 0.45/1.00 (declare-const tptp.f__symbolic__ (-> tptp.symbol tptp.general)) % 0.45/1.00 (declare-const tptp.p__is_integer__ (-> tptp.general Bool)) % 0.45/1.00 (declare-const tptp.f__integer__ (-> Int tptp.general)) % 0.45/1.00 (define @t1 () (@var "N" Int)) % 0.45/1.00 (define @t2 () (tptp.f__integer__ @t1)) % 0.45/1.00 (define @t3 () (@var "X" tptp.general)) % 0.45/1.00 (define @t4 () (= @t3 @t2)) % 0.45/1.00 (define @t5 () (@list @t1)) % 0.45/1.00 (define @t6 () (exists @t5 @t4)) % 0.45/1.00 (define @t7 () (tptp.p__is_integer__ @t3)) % 0.45/1.00 (define @t8 () (= @t7 @t6)) % 0.45/1.00 (define @t9 () (@list @t3)) % 0.45/1.00 (define @t10 () (forall @t9 @t8)) % 0.45/1.00 (define @t11 () (@var "X2" tptp.symbol)) % 0.45/1.00 (define @t12 () (tptp.f__symbolic__ @t11)) % 0.45/1.00 (define @t13 () (@var "X1" tptp.general)) % 0.45/1.00 (define @t14 () (= @t13 @t12)) % 0.45/1.00 (define @t15 () (@list @t11)) % 0.45/1.00 (define @t16 () (exists @t15 @t14)) % 0.45/1.00 (define @t17 () (tptp.p__is_symbolic__ @t13)) % 0.45/1.00 (define @t18 () (= @t17 @t16)) % 0.45/1.00 (define @t19 () (@list @t13)) % 0.45/1.00 (define @t20 () (forall @t19 @t18)) % 0.45/1.00 (define @t21 () (tptp.p__is_symbolic__ @t3)) % 0.45/1.00 (define @t22 () (or (= @t3 tptp.c__infimum__) @t7 @t21 (= @t3 tptp.c__supremum__))) % 0.45/1.00 (define @t23 () (forall @t9 @t22)) % 0.45/1.00 (define @t24 () (@var "N2" Int)) % 0.45/1.00 (define @t25 () (@var "N1" Int)) % 0.45/1.00 (define @t26 () (tptp.f__integer__ @t24)) % 0.45/1.00 (define @t27 () (tptp.f__integer__ @t25)) % 0.45/1.00 (define @t28 () (@list @t25 @t24)) % 0.45/1.00 (define @t29 () (@var "S2" tptp.symbol)) % 0.45/1.01 (define @t30 () (@var "S1" tptp.symbol)) % 0.45/1.01 (define @t31 () (tptp.p__less_equal__ @t27 @t26)) % 0.45/1.01 (define @t32 () (= @t31 (<= @t25 @t24))) % 0.45/1.01 (define @t33 () (forall @t28 @t32)) % 0.45/1.01 (define @t34 () (@var "X2" tptp.general)) % 0.45/1.01 (define @t35 () (= @t13 @t34)) % 0.45/1.01 (define @t36 () (tptp.p__less_equal__ @t34 @t13)) % 0.45/1.01 (define @t37 () (tptp.p__less_equal__ @t13 @t34)) % 0.45/1.01 (define @t38 () (and @t37 @t36)) % 0.45/1.01 (define @t39 () (@list @t13 @t34)) % 0.45/1.01 (define @t40 () (forall @t39 (=> @t38 @t35))) % 0.45/1.01 (define @t41 () (@var "X3" tptp.general)) % 0.45/1.01 (define @t42 () (tptp.p__less_equal__ @t13 @t41)) % 0.45/1.01 (define @t43 () (tptp.p__less_equal__ @t34 @t41)) % 0.45/1.01 (define @t44 () (and @t37 @t43)) % 0.45/1.01 (define @t45 () (forall (@list @t13 @t34 @t41) (=> @t44 @t42))) % 0.45/1.01 (define @t46 () (not @t35)) % 0.45/1.01 (define @t47 () (forall @t39 (= (tptp.p__less__ @t13 @t34) (and @t37 @t46)))) % 0.45/1.01 (define @t48 () (tptp.p__greater_equal__ @t13 @t34)) % 0.45/1.01 (define @t49 () (forall @t39 (= @t48 @t36))) % 0.45/1.01 (define @t50 () (forall @t39 (= (tptp.p__greater__ @t13 @t34) (and @t36 @t46)))) % 0.45/1.01 (define @t51 () (@var "S" tptp.symbol)) % 0.45/1.01 (define @t52 () (tptp.f__symbolic__ @t51)) % 0.45/1.01 (define @t53 () (@var "X1_g" tptp.general)) % 0.45/1.01 (define @t54 () (tptp.tp @t53)) % 0.45/1.01 (define @t55 () (tptp.hp @t53)) % 0.45/1.01 (define @t56 () (forall (@list @t53) (=> @t55 @t54))) % 0.45/1.01 (define @t57 () (@var "V1_g" tptp.general)) % 0.45/1.01 (define @t58 () (tptp.tp @t57)) % 0.45/1.01 (define @t59 () (tptp.f__integer__ 4)) % 0.45/1.01 (define @t60 () (= @t57 @t59)) % 0.45/1.01 (define @t61 () (and @t60 true)) % 0.45/1.01 (define @t62 () (=> @t61 @t58)) % 0.45/1.01 (define @t63 () (tptp.hp @t57)) % 0.45/1.01 (define @t64 () (=> @t61 @t63)) % 0.45/1.01 (define @t65 () (and @t64 @t62)) % 0.45/1.01 (define @t66 () (@list @t57)) % 0.45/1.01 (define @t67 () (forall @t66 @t65)) % 0.45/1.01 (define @t68 () (@var "Z1_g" tptp.general)) % 0.45/1.01 (define @t69 () (@var "Z_g" tptp.general)) % 0.45/1.01 (define @t70 () (tptp.p__less__ @t69 @t68)) % 0.45/1.01 (define @t71 () (tptp.f__integer__ 5)) % 0.45/1.01 (define @t72 () (= @t68 @t71)) % 0.45/1.01 (define @t73 () (@var "X_g" tptp.general)) % 0.45/1.01 (define @t74 () (= @t69 @t73)) % 0.45/1.01 (define @t75 () (and @t74 @t72 @t70)) % 0.45/1.01 (define @t76 () (@list @t69 @t68)) % 0.45/1.01 (define @t77 () (exists @t76 @t75)) % 0.45/1.01 (define @t78 () (tptp.p__greater__ @t69 @t68)) % 0.45/1.01 (define @t79 () (tptp.f__integer__ 3)) % 0.45/1.01 (define @t80 () (= @t68 @t79)) % 0.45/1.01 (define @t81 () (and @t74 @t80 @t78)) % 0.45/1.01 (define @t82 () (exists @t76 @t81)) % 0.45/1.01 (define @t83 () (= @t57 @t73)) % 0.45/1.01 (define @t84 () (and @t83 @t82 @t77)) % 0.45/1.01 (define @t85 () (=> @t84 @t58)) % 0.45/1.01 (define @t86 () (=> @t84 @t63)) % 0.45/1.01 (define @t87 () (and @t86 @t85)) % 0.45/1.01 (define @t88 () (@list @t57 @t73)) % 0.45/1.01 (define @t89 () (forall @t88 @t87)) % 0.45/1.01 (define @t90 () (not @t89)) % 0.45/1.01 (define @t91 () (+ @t25 (* -1 @t24))) % 0.45/1.01 (define @t92 () (+ @t24 1)) % 0.45/1.01 (define @t93 () (>= @t91 1)) % 0.45/1.01 (define @t94 () (>= @t25 @t92)) % 0.45/1.01 (define @t95 () (@var "BOUND_VARIABLE_7707" tptp.general)) % 0.45/1.01 (define @t96 () (tptp.hp @t95)) % 0.45/1.01 (define @t97 () (not (tptp.p__less__ @t95 @t71))) % 0.45/1.01 (define @t98 () (not (tptp.p__greater__ @t95 @t79))) % 0.45/1.01 (define @t99 () (or @t98 @t97 @t96)) % 0.45/1.01 (define @t100 () (@list @t95)) % 0.45/1.01 (define @t101 () (forall @t100 @t99)) % 0.45/1.01 (define @t102 () (@quantifiers_skolemize @t101 0)) % 0.45/1.01 (define @t103 () (forall @t5 (not (= @t2 @t102)))) % 0.45/1.01 (define @t104 () (@quantifiers_skolemize @t103 0)) % 0.45/1.01 (define @t105 () (+ -3 @t104)) % 0.45/1.01 (define @t106 () (>= @t104 4)) % 0.45/1.01 (define @t107 () (* -1 3)) % 0.45/1.01 (define @t108 () (+ @t104 @t107)) % 0.45/1.01 (define @t109 () (>= @t108 1)) % 0.45/1.01 (define @t110 () (not @t109)) % 0.45/1.01 (define @t111 () (tptp.f__integer__ @t104)) % 0.45/1.01 (define @t112 () (tptp.p__less_equal__ @t111 @t79)) % 0.45/1.01 (define @t113 () (= @t112 @t110)) % 0.45/1.01 (define @t114 () (forall @t28 (= @t31 (not @t93)))) % 0.45/1.01 (define @t115 () (not @t106)) % 0.45/1.01 (define @t116 () (= @t112 @t115)) % 0.45/1.01 (define @t117 () (@list false)) % 0.45/1.01 (define @t118 () (@list @t114)) % 0.45/1.01 (define @t119 () (not (forall @t5 (not @t4)))) % 0.45/1.01 (define @t120 () (not (= @t102 @t2))) % 0.45/1.01 (define @t121 () (forall @t5 @t120)) % 0.45/1.01 (define @t122 () (not @t121)) % 0.45/1.01 (define @t123 () (tptp.p__is_integer__ @t102)) % 0.45/1.01 (define @t124 () (= @t123 @t122)) % 0.45/1.01 (define @t125 () (forall @t9 (= @t7 @t119))) % 0.45/1.01 (define @t126 () (@list @t102)) % 0.45/1.01 (define @t127 () (not @t103)) % 0.45/1.01 (define @t128 () (= @t123 @t127)) % 0.45/1.01 (define @t129 () (not (forall @t15 (not @t14)))) % 0.45/1.01 (define @t130 () (not (= @t102 @t12))) % 0.45/1.01 (define @t131 () (forall @t15 @t130)) % 0.45/1.01 (define @t132 () (not @t131)) % 0.45/1.01 (define @t133 () (tptp.p__is_symbolic__ @t102)) % 0.45/1.01 (define @t134 () (= @t133 @t132)) % 0.45/1.01 (define @t135 () (forall @t19 (= @t17 @t129))) % 0.45/1.01 (define @t136 () (forall @t15 (not (= @t12 @t102)))) % 0.45/1.01 (define @t137 () (not @t136)) % 0.45/1.01 (define @t138 () (= @t133 @t137)) % 0.45/1.01 (define @t139 () (@quantifiers_skolemize @t136 0)) % 0.45/1.01 (define @t140 () (not @t36)) % 0.45/1.01 (define @t141 () (not @t37)) % 0.45/1.01 (define @t142 () (or @t141 @t140 @t35)) % 0.45/1.01 (define @t143 () (tptp.p__less_equal__ @t71 @t102)) % 0.45/1.01 (define @t144 () (not @t143)) % 0.45/1.01 (define @t145 () (tptp.p__less_equal__ @t102 @t71)) % 0.45/1.01 (define @t146 () (not @t145)) % 0.45/1.01 (define @t147 () (= @t102 @t71)) % 0.45/1.01 (define @t148 () (or @t146 @t144 @t147)) % 0.45/1.01 (define @t149 () (forall @t39 @t142)) % 0.45/1.01 (define @t150 () (@list @t102 @t71)) % 0.45/1.01 (define @t151 () (= @t71 @t102)) % 0.45/1.01 (define @t152 () (or @t146 @t144 @t151)) % 0.45/1.01 (define @t153 () (@list @t149)) % 0.45/1.01 (define @t154 () (not @t147)) % 0.45/1.01 (define @t155 () (and @t145 @t154)) % 0.45/1.01 (define @t156 () (tptp.p__less__ @t102 @t71)) % 0.45/1.01 (define @t157 () (= @t156 @t155)) % 0.45/1.01 (define @t158 () (not @t151)) % 0.45/1.01 (define @t159 () (and @t145 @t158)) % 0.45/1.01 (define @t160 () (= @t156 @t159)) % 0.45/1.01 (define @t161 () (@list @t47)) % 0.45/1.01 (define @t162 () (@var "BOUND_VARIABLE_7721" tptp.general)) % 0.45/1.01 (define @t163 () (tptp.tp @t162)) % 0.45/1.01 (define @t164 () (not (tptp.p__less__ @t162 @t71))) % 0.45/1.01 (define @t165 () (not (tptp.p__greater__ @t162 @t79))) % 0.45/1.01 (define @t166 () (or @t165 @t164 @t163)) % 0.45/1.01 (define @t167 () (not (= @t162 @t162))) % 0.45/1.01 (define @t168 () (or @t167 @t165 @t164 @t163)) % 0.45/1.01 (define @t169 () (@list @t162)) % 0.45/1.01 (define @t170 () (@var "BOUND_VARIABLE_7719" tptp.general)) % 0.45/1.01 (define @t171 () (tptp.tp @t170)) % 0.45/1.01 (define @t172 () (not (= @t170 @t162))) % 0.45/1.01 (define @t173 () (or @t172 @t172 @t165 @t164 @t171)) % 0.45/1.01 (define @t174 () (@list @t170)) % 0.45/1.01 (define @t175 () (or @t172 @t165 @t164 @t171)) % 0.45/1.01 (define @t176 () (forall @t174 @t175)) % 0.45/1.01 (define @t177 () (forall @t169 @t176)) % 0.45/1.01 (define @t178 () (forall (@list @t162 @t170) @t175)) % 0.45/1.01 (define @t179 () (forall (@list @t170 @t162) @t175)) % 0.45/1.01 (define @t180 () (not (= @t95 @t95))) % 0.45/1.01 (define @t181 () (or @t180 @t98 @t97 @t96)) % 0.45/1.01 (define @t182 () (@var "BOUND_VARIABLE_7705" tptp.general)) % 0.45/1.01 (define @t183 () (tptp.hp @t182)) % 0.45/1.01 (define @t184 () (not (= @t182 @t95))) % 0.45/1.01 (define @t185 () (or @t184 @t184 @t98 @t97 @t183)) % 0.45/1.01 (define @t186 () (@list @t182)) % 0.45/1.01 (define @t187 () (or @t184 @t98 @t97 @t183)) % 0.45/1.01 (define @t188 () (forall @t186 @t187)) % 0.45/1.01 (define @t189 () (forall @t100 @t188)) % 0.45/1.01 (define @t190 () (forall (@list @t95 @t182) @t187)) % 0.45/1.01 (define @t191 () (forall (@list @t182 @t95) @t187)) % 0.45/1.01 (define @t192 () (tptp.p__less__ @t73 @t71)) % 0.45/1.01 (define @t193 () (not @t192)) % 0.45/1.01 (define @t194 () (tptp.p__greater__ @t73 @t79)) % 0.45/1.01 (define @t195 () (not @t194)) % 0.45/1.01 (define @t196 () (not @t83)) % 0.45/1.01 (define @t197 () (or @t196 @t195 @t193 @t58)) % 0.45/1.01 (define @t198 () (forall @t88 @t197)) % 0.45/1.01 (define @t199 () (@list @t57 @t73)) % 0.45/1.01 (define @t200 () (or @t196 @t195 @t193 @t63)) % 0.45/1.01 (define @t201 () (forall @t88 @t200)) % 0.45/1.01 (define @t202 () (and @t201 @t198)) % 0.45/1.01 (define @t203 () (or @t196 @t195 @t193)) % 0.45/1.01 (define @t204 () (and @t83 @t194 @t192)) % 0.45/1.01 (define @t205 () (not @t204)) % 0.45/1.01 (define @t206 () (and (=> @t204 @t63) (=> @t204 @t58))) % 0.45/1.01 (define @t207 () (not (= @t71 @t71))) % 0.45/1.01 (define @t208 () (or @t207 @t193)) % 0.45/1.01 (define @t209 () (not (tptp.p__less__ @t73 @t68))) % 0.45/1.01 (define @t210 () (not @t72)) % 0.45/1.01 (define @t211 () (or @t210 @t210 @t209)) % 0.45/1.01 (define @t212 () (@list @t68)) % 0.45/1.01 (define @t213 () (or @t210 @t209)) % 0.45/1.01 (define @t214 () (not (= @t73 @t73))) % 0.45/1.01 (define @t215 () (or @t214 @t210 @t209)) % 0.45/1.01 (define @t216 () (not @t70)) % 0.45/1.01 (define @t217 () (= @t73 @t69)) % 0.45/1.01 (define @t218 () (not @t217)) % 0.45/1.01 (define @t219 () (not @t74)) % 0.45/1.01 (define @t220 () (@list @t69)) % 0.45/1.01 (define @t221 () (or @t218 @t218 @t210 @t216)) % 0.45/1.01 (define @t222 () (or @t218 @t210 @t216)) % 0.45/1.01 (define @t223 () (forall @t220 @t222)) % 0.45/1.01 (define @t224 () (forall @t212 @t223)) % 0.45/1.01 (define @t225 () (@list @t68 @t69)) % 0.45/1.01 (define @t226 () (forall @t225 @t222)) % 0.45/1.01 (define @t227 () (and @t217 @t72 @t70)) % 0.45/1.01 (define @t228 () (forall @t76 (not @t227))) % 0.45/1.01 (define @t229 () (not @t228)) % 0.45/1.01 (define @t230 () (not (= @t79 @t79))) % 0.45/1.01 (define @t231 () (or @t230 @t195)) % 0.45/1.01 (define @t232 () (not (tptp.p__greater__ @t73 @t68))) % 0.45/1.01 (define @t233 () (not @t80)) % 0.45/1.01 (define @t234 () (or @t233 @t233 @t232)) % 0.45/1.01 (define @t235 () (or @t233 @t232)) % 0.45/1.01 (define @t236 () (or @t214 @t233 @t232)) % 0.45/1.01 (define @t237 () (not @t78)) % 0.45/1.01 (define @t238 () (or @t218 @t218 @t233 @t237)) % 0.45/1.01 (define @t239 () (or @t218 @t233 @t237)) % 0.45/1.01 (define @t240 () (forall @t220 @t239)) % 0.45/1.01 (define @t241 () (forall @t212 @t240)) % 0.45/1.01 (define @t242 () (forall @t225 @t239)) % 0.45/1.01 (define @t243 () (and @t217 @t80 @t78)) % 0.45/1.01 (define @t244 () (forall @t76 (not @t243))) % 0.45/1.01 (define @t245 () (not @t244)) % 0.45/1.01 (define @t246 () (forall @t169 @t166)) % 0.45/1.01 (define @t247 () (@quantifiers_skolemize @t246 0)) % 0.45/1.01 (define @t248 () (@list @t247)) % 0.45/1.01 (define @t249 () (tptp.hp @t247)) % 0.45/1.01 (define @t250 () (tptp.p__less__ @t247 @t71)) % 0.45/1.01 (define @t251 () (not @t250)) % 0.45/1.01 (define @t252 () (tptp.p__greater__ @t247 @t79)) % 0.45/1.01 (define @t253 () (not @t252)) % 0.45/1.01 (define @t254 () (or @t253 @t251 @t249)) % 0.45/1.01 (define @t255 () (tptp.tp @t247)) % 0.45/1.01 (define @t256 () (or @t253 @t251 @t255)) % 0.45/1.01 (define @t257 () (not @t256)) % 0.45/1.01 (define @t258 () (not @t246)) % 0.45/1.01 (define @t259 () (not @t249)) % 0.45/1.01 (define @t260 () (or @t259 @t255)) % 0.45/1.01 (define @t261 () (not @t101)) % 0.45/1.01 (define @t262 () (tptp.hp @t102)) % 0.45/1.01 (define @t263 () (not @t156)) % 0.45/1.01 (define @t264 () (tptp.p__greater__ @t102 @t79)) % 0.45/1.01 (define @t265 () (not @t264)) % 0.45/1.01 (define @t266 () (or @t265 @t263 @t262)) % 0.45/1.01 (define @t267 () (not @t266)) % 0.45/1.01 (define @t268 () (@list true)) % 0.45/1.01 (define @t269 () (@list @t266)) % 0.45/1.01 (define @t270 () (@list false false)) % 0.45/1.01 (define @t271 () (not @t159)) % 0.45/1.01 (define @t272 () (@list @t159)) % 0.45/1.01 (define @t273 () (@list true false false)) % 0.45/1.01 (define @t274 () (and @t143 @t158)) % 0.45/1.01 (define @t275 () (not @t274)) % 0.45/1.01 (define @t276 () (tptp.p__less__ @t71 @t102)) % 0.45/1.01 (define @t277 () (= @t276 @t274)) % 0.45/1.01 (define @t278 () (not @t276)) % 0.45/1.01 (define @t279 () (@list true false)) % 0.45/1.01 (define @t280 () (tptp.f__symbolic__ @t139)) % 0.45/1.01 (define @t281 () (tptp.p__less__ @t71 @t280)) % 0.45/1.01 (define @t282 () (not @t281)) % 0.45/1.01 (define @t283 () (= @t102 @t280)) % 0.45/1.01 (define @t284 () (not @t283)) % 0.45/1.01 (define @t285 () (= true false)) % 0.45/1.01 (define @t286 () (= @t280 @t102)) % 0.45/1.01 (define @t287 () (not (not @t286))) % 0.45/1.01 (define @t288 () (not @t133)) % 0.45/1.01 (define @t289 () (@quantifiers_skolemize (forall @t15 (not (= tptp.c__infimum__ @t12))) 0)) % 0.45/1.01 (define @t290 () (tptp.f__symbolic__ @t289)) % 0.45/1.01 (define @t291 () (@list @t290 @t102)) % 0.45/1.01 (define @t292 () (not @t43)) % 0.45/1.01 (define @t293 () (tptp.p__less_equal__ @t71 @t290)) % 0.45/1.01 (define @t294 () (and @t293 (not (= @t71 @t290)))) % 0.45/1.01 (define @t295 () (tptp.p__less__ @t71 @t290)) % 0.45/1.01 (define @t296 () (= @t295 @t294)) % 0.45/1.01 (define @t297 () (tptp.p__less_equal__ @t290 @t102)) % 0.45/1.01 (define @t298 () (not @t297)) % 0.45/1.01 (define @t299 () (not @t293)) % 0.45/1.01 (define @t300 () (or @t299 @t298 @t143)) % 0.45/1.01 (define @t301 () (tptp.p__less_equal__ @t102 @t290)) % 0.45/1.01 (define @t302 () (or @t297 @t301)) % 0.45/1.01 (define @t303 () (tptp.p__greater_equal__ @t290 @t102)) % 0.45/1.01 (define @t304 () (= @t301 @t303)) % 0.45/1.01 (define @t305 () (@list @t290 tptp.c__supremum__)) % 0.45/1.01 (define @t306 () (tptp.p__less_equal__ tptp.c__supremum__ @t290)) % 0.45/1.01 (define @t307 () (not @t306)) % 0.45/1.01 (define @t308 () (tptp.p__less_equal__ @t290 tptp.c__supremum__)) % 0.45/1.01 (define @t309 () (not @t308)) % 0.45/1.01 (define @t310 () (= @t290 tptp.c__supremum__)) % 0.45/1.01 (define @t311 () (or @t309 @t307 @t310)) % 0.45/1.01 (define @t312 () (= tptp.c__supremum__ @t290)) % 0.45/1.01 (define @t313 () (or @t309 @t307 @t312)) % 0.45/1.01 (define @t314 () (not @t310)) % 0.45/1.01 (define @t315 () (and @t308 @t314)) % 0.45/1.01 (define @t316 () (tptp.p__less__ @t290 tptp.c__supremum__)) % 0.45/1.01 (define @t317 () (= @t316 @t315)) % 0.45/1.01 (define @t318 () (not @t312)) % 0.45/1.01 (define @t319 () (and @t308 @t318)) % 0.45/1.01 (define @t320 () (= @t316 @t319)) % 0.45/1.01 (define @t321 () (not @t319)) % 0.45/1.01 (define @t322 () (@list @t319)) % 0.45/1.01 (define @t323 () (tptp.p__greater_equal__ @t290 tptp.c__supremum__)) % 0.45/1.01 (define @t324 () (= @t306 @t323)) % 0.45/1.01 (define @t325 () (not @t323)) % 0.45/1.01 (define @t326 () (not @t303)) % 0.45/1.01 (define @t327 () (= tptp.c__supremum__ @t102)) % 0.45/1.01 (define @t328 () (not @t327)) % 0.45/1.01 (define @t329 () (and @t325 @t327 @t303)) % 0.45/1.01 (define @t330 () (tptp.p__less_equal__ tptp.c__infimum__ @t79)) % 0.45/1.01 (define @t331 () (and @t330 (not (= tptp.c__infimum__ @t79)))) % 0.45/1.01 (define @t332 () (tptp.p__less__ tptp.c__infimum__ @t79)) % 0.45/1.01 (define @t333 () (= @t332 @t331)) % 0.45/1.01 (define @t334 () (tptp.p__greater_equal__ @t79 tptp.c__infimum__)) % 0.45/1.01 (define @t335 () (= @t330 @t334)) % 0.45/1.01 (define @t336 () (@list @t79 @t102)) % 0.45/1.01 (define @t337 () (not (= @t102 @t79))) % 0.45/1.01 (define @t338 () (tptp.p__less_equal__ @t79 @t102)) % 0.45/1.01 (define @t339 () (and @t338 @t337)) % 0.45/1.01 (define @t340 () (= @t264 @t339)) % 0.45/1.01 (define @t341 () (= @t79 @t102)) % 0.45/1.01 (define @t342 () (not @t341)) % 0.45/1.01 (define @t343 () (and @t338 @t342)) % 0.45/1.01 (define @t344 () (= @t264 @t343)) % 0.45/1.01 (define @t345 () (not @t343)) % 0.45/1.01 (define @t346 () (@list @t343)) % 0.45/1.01 (define @t347 () (tptp.p__less_equal__ @t102 @t79)) % 0.45/1.01 (define @t348 () (not @t347)) % 0.45/1.01 (define @t349 () (not @t338)) % 0.45/1.01 (define @t350 () (or @t349 @t348 @t341)) % 0.45/1.01 (define @t351 () (tptp.p__greater_equal__ @t79 @t102)) % 0.45/1.01 (define @t352 () (= @t347 @t351)) % 0.45/1.01 (define @t353 () (not @t351)) % 0.45/1.01 (define @t354 () (= tptp.c__infimum__ @t102)) % 0.45/1.01 (define @t355 () (not @t354)) % 0.45/1.01 (define @t356 () (not @t334)) % 0.45/1.01 (define @t357 () (= false true)) % 0.45/1.01 (define @t358 () (and @t334 @t354 @t353)) % 0.45/1.01 (define @t359 () (or @t354 @t123 @t133 @t327)) % 0.45/1.01 (define @t360 () (= @t102 @t111)) % 0.45/1.01 (define @t361 () (= @t111 @t102)) % 0.45/1.01 (define @t362 () (not (not @t361))) % 0.45/1.01 (define @t363 () (not @t112)) % 0.45/1.01 (define @t364 () (not @t360)) % 0.45/1.01 (define @t365 () (and @t348 @t360)) % 0.45/1.01 (define @t366 () (tptp.p__less_equal__ @t59 @t111)) % 0.45/1.01 (define @t367 () (* -1 @t104)) % 0.45/1.01 (define @t368 () (+ 4 @t367)) % 0.45/1.01 (define @t369 () (+ @t104 1)) % 0.45/1.01 (define @t370 () (>= @t368 1)) % 0.45/1.01 (define @t371 () (not @t370)) % 0.45/1.01 (define @t372 () (= @t366 @t371)) % 0.45/1.01 (define @t373 () (= @t106 @t366)) % 0.45/1.01 (define @t374 () (@list @t59 @t102)) % 0.45/1.01 (define @t375 () (not @t262)) % 0.45/1.01 (define @t376 () (tptp.tp @t59)) % 0.45/1.01 (define @t377 () (not (= @t59 @t59))) % 0.45/1.01 (define @t378 () (or @t377 @t376)) % 0.45/1.01 (define @t379 () (@var "BOUND_VARIABLE_7615" tptp.general)) % 0.45/1.01 (define @t380 () (tptp.tp @t379)) % 0.45/1.01 (define @t381 () (not (= @t59 @t379))) % 0.45/1.01 (define @t382 () (not (= @t379 @t59))) % 0.45/1.01 (define @t383 () (@list @t379)) % 0.45/1.01 (define @t384 () (or @t381 @t381 @t380)) % 0.45/1.01 (define @t385 () (or @t381 @t380)) % 0.45/1.01 (define @t386 () (or @t382 @t380)) % 0.45/1.01 (define @t387 () (forall @t383 @t386)) % 0.45/1.01 (define @t388 () (tptp.hp @t59)) % 0.45/1.01 (define @t389 () (or @t377 @t388)) % 0.45/1.01 (define @t390 () (@var "BOUND_VARIABLE_7607" tptp.general)) % 0.45/1.01 (define @t391 () (tptp.hp @t390)) % 0.45/1.01 (define @t392 () (not (= @t59 @t390))) % 0.45/1.01 (define @t393 () (not (= @t390 @t59))) % 0.45/1.01 (define @t394 () (@list @t390)) % 0.45/1.01 (define @t395 () (or @t392 @t392 @t391)) % 0.45/1.01 (define @t396 () (or @t392 @t391)) % 0.45/1.01 (define @t397 () (or @t393 @t391)) % 0.45/1.01 (define @t398 () (forall @t394 @t397)) % 0.45/1.01 (define @t399 () (not @t60)) % 0.45/1.01 (define @t400 () (or @t399 @t58)) % 0.45/1.01 (define @t401 () (forall @t66 @t400)) % 0.45/1.01 (define @t402 () (@list @t57)) % 0.45/1.01 (define @t403 () (or @t399 @t63)) % 0.45/1.01 (define @t404 () (forall @t66 @t403)) % 0.45/1.01 (define @t405 () (and @t404 @t401)) % 0.45/1.01 (define @t406 () (and (=> @t60 @t63) (=> @t60 @t58))) % 0.45/1.01 (define @t407 () (= @t59 @t102)) % 0.45/1.01 (define @t408 () (not @t407)) % 0.45/1.01 (define @t409 () (not @t388)) % 0.45/1.01 (define @t410 () (and @t388 @t407 @t375)) % 0.45/1.01 (define @t411 () (tptp.p__greater_equal__ @t59 @t102)) % 0.45/1.01 (define @t412 () (tptp.p__less_equal__ @t102 @t59)) % 0.45/1.01 (define @t413 () (= @t412 @t411)) % 0.45/1.01 (define @t414 () (not @t411)) % 0.45/1.01 (define @t415 () (tptp.p__less_equal__ @t71 @t111)) % 0.45/1.01 (define @t416 () (not @t415)) % 0.45/1.01 (define @t417 () (and @t144 @t360)) % 0.45/1.01 (define @t418 () (tptp.p__less_equal__ @t111 @t59)) % 0.45/1.01 (define @t419 () (not @t418)) % 0.45/1.01 (define @t420 () (not @t412)) % 0.45/1.01 (define @t421 () (and @t420 @t360)) % 0.45/1.01 (define @t422 () (>= @t104 5)) % 0.45/1.01 (define @t423 () (+ 5 @t367)) % 0.45/1.01 (define @t424 () (>= @t423 1)) % 0.45/1.01 (define @t425 () (not @t424)) % 0.45/1.01 (define @t426 () (= @t415 @t425)) % 0.45/1.01 (define @t427 () (= @t415 @t422)) % 0.45/1.01 (define @t428 () (not @t422)) % 0.45/1.01 (define @t429 () (+ -4 @t104)) % 0.45/1.01 (define @t430 () (* -1 4)) % 0.45/1.01 (define @t431 () (+ @t104 @t430)) % 0.45/1.01 (define @t432 () (>= @t431 1)) % 0.45/1.01 (define @t433 () (not @t432)) % 0.45/1.01 (define @t434 () (= @t418 @t433)) % 0.45/1.01 (define @t435 () (= @t428 @t418)) % 0.45/1.01 (define @t436 () (not @t435)) % 0.45/1.01 (define @t437 () (tptp.p__less_equal__ tptp.c__infimum__ @t59)) % 0.45/1.01 (define @t438 () (and @t437 (not (= tptp.c__infimum__ @t59)))) % 0.45/1.01 (define @t439 () (tptp.p__less__ tptp.c__infimum__ @t59)) % 0.45/1.01 (define @t440 () (= @t439 @t438)) % 0.45/1.01 (define @t441 () (tptp.p__greater_equal__ @t59 tptp.c__infimum__)) % 0.45/1.01 (define @t442 () (= @t437 @t441)) % 0.45/1.01 (define @t443 () (not @t441)) % 0.45/1.01 (define @t444 () (tptp.p__less_equal__ @t59 @t102)) % 0.45/1.01 (define @t445 () (not @t444)) % 0.45/1.01 (define @t446 () (or @t445 @t420 @t407)) % 0.45/1.01 (define @t447 () (not @t366)) % 0.45/1.01 (define @t448 () (and @t445 @t360)) % 0.45/1.01 (define @t449 () (not @t116)) % 0.45/1.01 (assume @p1 @t10) % 0.45/1.01 (assume @p2 @t20) % 0.45/1.01 (assume @p3 @t23) % 0.45/1.01 (assume @p4 (forall @t28 (= (= @t27 @t26) (= @t25 @t24)))) % 0.45/1.01 (assume @p5 (forall (@list @t30 @t29) (= (= (tptp.f__symbolic__ @t30) (tptp.f__symbolic__ @t29)) (= @t30 @t29)))) % 0.45/1.01 (assume @p6 @t33) % 0.45/1.01 (assume @p7 @t40) % 0.45/1.01 (assume @p8 @t45) % 0.45/1.01 (assume @p9 (forall @t39 (or @t37 @t36))) % 0.45/1.01 (assume @p10 @t47) % 0.45/1.01 (assume @p11 @t49) % 0.45/1.01 (assume @p12 @t50) % 0.45/1.01 (assume @p13 (forall @t5 (tptp.p__less__ tptp.c__infimum__ @t2))) % 0.45/1.01 (assume @p14 (forall (@list @t1 @t51) (tptp.p__less__ @t2 @t52))) % 0.45/1.01 (assume @p15 (forall (@list @t51) (tptp.p__less__ @t52 tptp.c__supremum__))) % 0.45/1.01 (assume @p16 @t56) % 0.45/1.01 (assume @p17 @t67) % 0.45/1.01 (assume @p18 @t90) % 0.45/1.01 (assume @p19 true) % 0.45/1.01 (step @p20 :rule arith_poly_norm :args ((= (* -1 (- @t25 @t92)) (* -1 (- @t91 1))))) % 0.45/1.01 (step @p21 :rule arith_poly_norm_rel :premises (@p20) :args ((= @t94 @t93))) % 0.45/1.01 (step @p22 :rule cong :premises (@p21) :args ((not @t94))) % 0.45/1.01 (step @p23 :rule arith-leq-norm :args (@t25 @t24)) % 0.45/1.01 (step @p24 :rule trans :premises (@p23 @p22)) % 0.45/1.01 (step @p25 :rule refl :args (@t31)) % 0.45/1.01 (step @p26 :rule cong :premises (@p25 @p24) :args (@t32)) % 0.45/1.01 (step @p27 :rule cong :premises (@p26) :args (@t33)) % 0.45/1.01 (step @p28 :rule eq_resolve :premises (@p6 @p27)) % 0.45/1.01 (step @p29 :rule arith_poly_norm :args ((= (* -4 (- @t105 1)) (* -4 (- @t104 4))))) % 0.45/1.01 (step @p30 :rule arith_poly_norm_rel :premises (@p29) :args ((= (>= @t105 1) @t106))) % 0.45/1.01 (step @p31 :rule refl :args (1)) % 0.45/1.01 (step @p32 :rule arith_poly_norm :args ((= (+ @t104 -3) @t105))) % 0.45/1.01 (step @p33 :rule evaluate :args (@t107)) % 0.45/1.01 (step @p34 :rule refl :args (@t104)) % 0.45/1.01 (step @p35 :rule nary_cong :premises (@p34 @p33) :args (@t108)) % 0.45/1.01 (step @p36 :rule trans :premises (@p35 @p32)) % 0.45/1.01 (step @p37 :rule cong :premises (@p36 @p31) :args (@t109)) % 0.45/1.01 (step @p38 :rule trans :premises (@p37 @p30)) % 0.45/1.01 (step @p39 :rule cong :premises (@p38) :args (@t110)) % 0.45/1.01 (step @p40 :rule refl :args (@t112)) % 0.45/1.01 (step @p41 :rule cong :premises (@p40 @p39) :args (@t113)) % 0.45/1.01 (step @p42 :rule refl :args (@t114)) % 0.45/1.01 (step @p43 :rule cong :premises (@p42 @p41) :args ((=> @t114 @t113))) % 0.45/1.01 (assume-push @p964 @t114) % 0.45/1.01 (step @p45 :rule instantiate :premises (@p28) :args ((@list @t104 3))) % 0.45/1.01 (step-pop @p965 :rule scope :premises (@p45)) % 0.45/1.01 (step @p46 :rule process_scope :premises (@p965) :args (@t113)) % 0.45/1.01 (step @p48 :rule eq_resolve :premises (@p46 @p43)) % 0.45/1.01 (step @p49 :rule implies_elim :premises (@p48)) % 0.45/1.01 (step @p50 :rule chain_m_resolution :premises (@p49 @p28) :args (@t116 @t117 @t118)) % 0.45/1.01 (step @p51 :rule exists-elim :args ((= @t6 @t119))) % 0.45/1.01 (step @p52 :rule refl :args (@t7)) % 0.45/1.01 (step @p53 :rule cong :premises (@p52 @p51) :args (@t8)) % 0.45/1.01 (step @p54 :rule cong :premises (@p53) :args (@t10)) % 0.45/1.01 (step @p55 :rule eq_resolve :premises (@p1 @p54)) % 0.45/1.01 (step @p56 :rule eq-symm :args (@t102 @t2)) % 0.45/1.01 (step @p57 :rule cong :premises (@p56) :args (@t120)) % 0.45/1.01 (step @p58 :rule cong :premises (@p57) :args (@t121)) % 0.45/1.01 (step @p59 :rule cong :premises (@p58) :args (@t122)) % 0.45/1.01 (step @p60 :rule refl :args (@t123)) % 0.45/1.01 (step @p61 :rule cong :premises (@p60 @p59) :args (@t124)) % 0.45/1.01 (step @p62 :rule refl :args (@t125)) % 0.45/1.01 (step @p63 :rule cong :premises (@p62 @p61) :args ((=> @t125 @t124))) % 0.45/1.01 (assume-push @p966 @t125) % 0.45/1.01 (step @p65 :rule instantiate :premises (@p55) :args (@t126)) % 0.45/1.01 (step-pop @p967 :rule scope :premises (@p65)) % 0.45/1.01 (step @p66 :rule process_scope :premises (@p967) :args (@t124)) % 0.45/1.01 (step @p68 :rule eq_resolve :premises (@p66 @p63)) % 0.45/1.01 (step @p69 :rule implies_elim :premises (@p68)) % 0.45/1.01 (step @p70 :rule chain_m_resolution :premises (@p69 @p55) :args (@t128 @t117 (@list @t125))) % 0.45/1.01 (step @p71 :rule eq-symm :args (@t3 tptp.c__supremum__)) % 0.45/1.01 (step @p72 :rule refl :args (@t21)) % 0.45/1.01 (step @p73 :rule eq-symm :args (@t3 tptp.c__infimum__)) % 0.45/1.01 (step @p74 :rule nary_cong :premises (@p73 @p52 @p72 @p71) :args (@t22)) % 0.45/1.01 (step @p75 :rule cong :premises (@p74) :args (@t23)) % 0.45/1.01 (step @p76 :rule eq_resolve :premises (@p3 @p75)) % 0.45/1.01 (step @p77 :rule instantiate :premises (@p76) :args (@t126)) % 0.45/1.01 (step @p78 :rule exists-elim :args ((= @t16 @t129))) % 0.45/1.01 (step @p79 :rule refl :args (@t17)) % 0.45/1.01 (step @p80 :rule cong :premises (@p79 @p78) :args (@t18)) % 0.45/1.01 (step @p81 :rule cong :premises (@p80) :args (@t20)) % 0.45/1.01 (step @p82 :rule eq_resolve :premises (@p2 @p81)) % 0.45/1.01 (step @p83 :rule eq-symm :args (@t102 @t12)) % 0.45/1.01 (step @p84 :rule cong :premises (@p83) :args (@t130)) % 0.45/1.01 (step @p85 :rule cong :premises (@p84) :args (@t131)) % 0.45/1.01 (step @p86 :rule cong :premises (@p85) :args (@t132)) % 0.45/1.01 (step @p87 :rule refl :args (@t133)) % 0.45/1.01 (step @p88 :rule cong :premises (@p87 @p86) :args (@t134)) % 0.45/1.01 (step @p89 :rule refl :args (@t135)) % 0.45/1.01 (step @p90 :rule cong :premises (@p89 @p88) :args ((=> @t135 @t134))) % 0.45/1.01 (assume-push @p968 @t135) % 0.45/1.01 (step @p92 :rule instantiate :premises (@p82) :args (@t126)) % 0.45/1.01 (step-pop @p969 :rule scope :premises (@p92)) % 0.45/1.01 (step @p93 :rule process_scope :premises (@p969) :args (@t134)) % 0.45/1.01 (step @p95 :rule eq_resolve :premises (@p93 @p90)) % 0.45/1.01 (step @p96 :rule implies_elim :premises (@p95)) % 0.45/1.01 (step @p97 :rule chain_m_resolution :premises (@p96 @p82) :args (@t138 @t117 (@list @t135))) % 0.45/1.01 (step @p98 :rule instantiate :premises (@p14) :args ((@list 5 @t139))) % 0.45/1.01 (step @p99 :rule instantiate :premises (@p10) :args ((@list @t71 @t102))) % 0.45/1.01 (step @p100 :rule aci_norm :args ((= (or (or @t141 @t140) @t35) @t142))) % 0.45/1.01 (step @p101 :rule refl :args (@t35)) % 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process_scope :premises (@p1075) :args (@t447)) % 0.45/1.01 (step @p950 :rule implies_elim :premises (@p947)) % 0.45/1.01 (step @p951 :rule cnf_and_neg :args (@t448)) % 0.45/1.01 (step @p952 :rule resolution :premises (@p951 @p950) :args (true @t448)) % 0.45/1.01 (step @p953 :rule eq_resolve :premises (@p952 @p932)) % 0.45/1.01 (step @p954 :rule chain_m_resolution :premises (@p953 @p929 @p650) :args (@t447 @t279 (@list @t444 @t360))) % 0.45/1.01 (step @p955 :rule cnf_equiv_pos1 :args (@t373)) % 0.45/1.01 (step @p956 :rule reordering :premises (@p955) :args ((or @t115 @t366 (not @t373)))) % 0.45/1.01 (step @p957 :rule chain_m_resolution :premises (@p956 @p954 @p696) :args (@t115 @t279 (@list @t366 @t373))) % 0.45/1.01 (step @p958 :rule refl :args (@t449)) % 0.45/1.01 (step @p959 :rule nary_cong :premises (@p958 @p40 @p678) :args ((or @t449 @t112 (not @t115)))) % 0.45/1.01 (step @p960 :rule cnf_equiv_pos2 :args (@t116)) % 0.45/1.01 (step @p961 :rule eq_resolve :premises (@p960 @p959)) % 0.45/1.01 (step @p962 :rule reordering :premises (@p961) :args ((or @t112 @t106 @t449))) % 0.45/1.01 (step @p963 false :rule chain_m_resolution :premises (@p962 @p957 @p676 @p50) :args (false (@list true true false) (@list @t106 @t112 @t116))) % 0.45/1.01 ) % 0.45/1.01 % SZS output end Proof % 0.45/1.01 % cvc5 exiting %------------------------------------------------------------------------------