%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE062+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n027.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 08:28:14 AM UTC 2026 % Result : Theorem 17.41s 17.65s % Output : Proof 17.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE062+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n027.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 05:12:21 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 17.41/17.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 17.41/17.65 --- Run --no-e-matching --full-saturate-quant at 6... % 17.41/17.65 % SZS status Theorem % 17.41/17.65 % SZS output start Proof % 17.41/17.65 ( % 17.41/17.65 (declare-sort $$unsorted 0) % 17.41/17.65 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 17.41/17.65 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 17.41/17.65 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 17.41/17.65 (declare-const tptp.zero $$unsorted) % 17.41/17.65 (declare-const tptp.one $$unsorted) % 17.41/17.65 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 17.41/17.65 (define @t1 () (@var "A" $$unsorted)) % 17.41/17.65 (define @t2 () (@var "B" $$unsorted)) % 17.41/17.65 (define @t3 () (tptp.addition @t1 @t2)) % 17.41/17.65 (define @t4 () (@list @t1 @t2)) % 17.41/17.65 (define @t5 () (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 17.41/17.65 (define @t6 () (@var "C" $$unsorted)) % 17.41/17.65 (define @t7 () (tptp.addition @t2 @t6)) % 17.41/17.65 (define @t8 () (tptp.addition @t1 tptp.zero)) % 17.41/17.65 (define @t9 () (@list @t1)) % 17.41/17.65 (define @t10 () (forall @t9 (= @t8 @t1))) % 17.41/17.65 (define @t11 () (tptp.multiplication @t1 @t2)) % 17.41/17.65 (define @t12 () (tptp.multiplication @t2 @t6)) % 17.41/17.65 (define @t13 () (@list @t1 @t2 @t6)) % 17.41/17.65 (define @t14 () (tptp.multiplication @t1 tptp.one)) % 17.41/17.65 (define @t15 () (forall @t9 (= @t14 @t1))) % 17.41/17.65 (define @t16 () (tptp.multiplication tptp.one @t1)) % 17.41/17.65 (define @t17 () (forall @t9 (= @t16 @t1))) % 17.41/17.65 (define @t18 () (tptp.multiplication @t1 @t6)) % 17.41/17.65 (define @t19 () (@var "X0" $$unsorted)) % 17.41/17.65 (define @t20 () (tptp.domain @t19)) % 17.41/17.65 (define @t21 () (tptp.multiplication @t20 @t19)) % 17.41/17.65 (define @t22 () (tptp.addition @t19 @t21)) % 17.41/17.65 (define @t23 () (@list @t19)) % 17.41/17.65 (define @t24 () (forall @t23 (= @t22 @t21))) % 17.41/17.65 (define @t25 () (@var "X1" $$unsorted)) % 17.41/17.65 (define @t26 () (tptp.domain @t25)) % 17.41/17.65 (define @t27 () (@list @t19 @t25)) % 17.41/17.65 (define @t28 () (tptp.addition @t20 tptp.one)) % 17.41/17.65 (define @t29 () (forall @t23 (= @t28 tptp.one))) % 17.41/17.65 (define @t30 () (forall @t27 (= (tptp.multiplication @t20 @t26) (tptp.multiplication @t26 @t20)))) % 17.41/17.65 (define @t31 () (@quantifiers_skolemize @t30 0)) % 17.41/17.65 (define @t32 () (@list @t31)) % 17.41/17.65 (define @t33 () (@quantifiers_skolemize @t30 1)) % 17.41/17.65 (define @t34 () (@list @t33)) % 17.41/17.65 (define @t35 () (tptp.domain @t31)) % 17.41/17.65 (define @t36 () (@list @t35)) % 17.41/17.65 (define @t37 () (tptp.domain @t33)) % 17.41/17.65 (define @t38 () (@list @t37)) % 17.41/17.65 (define @t39 () (@list @t35 @t35 @t37)) % 17.41/17.65 (define @t40 () (tptp.domain @t37)) % 17.41/17.65 (define @t41 () (tptp.multiplication @t35 @t40)) % 17.41/17.65 (define @t42 () (@list @t41)) % 17.41/17.65 (define @t43 () (@list @t35 tptp.one @t37)) % 17.41/17.65 (define @t44 () (@list @t35 @t37 @t35)) % 17.41/17.65 (define @t45 () (tptp.domain @t35)) % 17.41/17.65 (define @t46 () (tptp.multiplication @t37 @t45)) % 17.41/17.65 (define @t47 () (@list @t46)) % 17.41/17.65 (define @t48 () (tptp.domain @t41)) % 17.41/17.65 (define @t49 () (@list @t37 @t35 @t37)) % 17.41/17.65 (define @t50 () (tptp.multiplication @t35 @t37)) % 17.41/17.65 (define @t51 () (tptp.multiplication @t35 @t35)) % 17.41/17.65 (define @t52 () (tptp.multiplication @t37 @t37)) % 17.41/17.65 (define @t53 () (tptp.multiplication @t37 @t35)) % 17.41/17.65 (define @t54 () (tptp.domain @t46)) % 17.41/17.65 (define @t55 () (tptp.addition @t35 @t54)) % 17.41/17.65 (define @t56 () (tptp.addition @t54 @t35)) % 17.41/17.65 (define @t57 () (= @t55 @t56)) % 17.41/17.65 (define @t58 () (@list @t35 @t54)) % 17.41/17.65 (define @t59 () (= @t56 @t55)) % 17.41/17.65 (define @t60 () (@list false)) % 17.41/17.65 (define @t61 () (@list @t5)) % 17.41/17.65 (define @t62 () (tptp.addition tptp.one @t54)) % 17.41/17.65 (define @t63 () (tptp.addition @t54 tptp.one)) % 17.41/17.65 (define @t64 () (= @t62 @t63)) % 17.41/17.65 (define @t65 () (= @t63 @t62)) % 17.41/17.65 (define @t66 () (tptp.multiplication @t35 @t53)) % 17.41/17.65 (define @t67 () (tptp.multiplication @t54 @t46)) % 17.41/17.65 (define @t68 () (tptp.multiplication @t37 @t51)) % 17.41/17.65 (define @t69 () (tptp.multiplication @t37 @t50)) % 17.41/17.65 (define @t70 () (tptp.addition @t69 @t68)) % 17.41/17.65 (define @t71 () (tptp.addition @t50 @t51)) % 17.41/17.65 (define @t72 () (tptp.multiplication @t37 @t71)) % 17.41/17.65 (define @t73 () (= @t72 @t70)) % 17.41/17.65 (define @t74 () (not @t73)) % 17.41/17.65 (define @t75 () (tptp.multiplication @t48 @t50)) % 17.41/17.65 (define @t76 () (tptp.addition @t75 @t69)) % 17.41/17.65 (define @t77 () (tptp.addition @t48 @t37)) % 17.41/17.65 (define @t78 () (= (tptp.multiplication @t77 @t50) @t76)) % 17.41/17.65 (define @t79 () (not @t78)) % 17.41/17.65 (define @t80 () (tptp.multiplication tptp.one @t46)) % 17.41/17.65 (define @t81 () (tptp.addition @t80 @t67)) % 17.41/17.65 (define @t82 () (= (tptp.multiplication @t62 @t46) @t81)) % 17.41/17.65 (define @t83 () (not @t82)) % 17.41/17.65 (define @t84 () (tptp.addition @t46 @t67)) % 17.41/17.65 (define @t85 () (tptp.addition @t66 @t84)) % 17.41/17.65 (define @t86 () (= @t85 (tptp.addition (tptp.addition @t66 @t46) @t67))) % 17.41/17.65 (define @t87 () (not @t86)) % 17.41/17.65 (define @t88 () (tptp.addition @t52 @t53)) % 17.41/17.65 (define @t89 () (tptp.multiplication @t35 @t88)) % 17.41/17.65 (define @t90 () (= @t89 (tptp.addition (tptp.multiplication @t35 @t52) @t66))) % 17.41/17.65 (define @t91 () (not @t90)) % 17.41/17.65 (define @t92 () (tptp.multiplication @t52 @t35)) % 17.41/17.65 (define @t93 () (tptp.multiplication @t50 @t35)) % 17.41/17.65 (define @t94 () (tptp.addition @t93 @t92)) % 17.41/17.65 (define @t95 () (tptp.addition @t50 @t52)) % 17.41/17.65 (define @t96 () (= (tptp.multiplication @t95 @t35) @t94)) % 17.41/17.65 (define @t97 () (not @t96)) % 17.41/17.65 (define @t98 () (tptp.multiplication @t55 @t53)) % 17.41/17.65 (define @t99 () (= @t98 (tptp.addition @t66 (tptp.multiplication @t54 @t53)))) % 17.41/17.65 (define @t100 () (not @t99)) % 17.41/17.65 (define @t101 () (not @t65)) % 17.41/17.65 (define @t102 () (tptp.multiplication @t53 @t37)) % 17.41/17.65 (define @t103 () (tptp.multiplication @t51 @t37)) % 17.41/17.65 (define @t104 () (tptp.addition @t51 @t53)) % 17.41/17.65 (define @t105 () (tptp.multiplication @t104 @t37)) % 17.41/17.65 (define @t106 () (= @t105 (tptp.addition @t103 @t102))) % 17.41/17.65 (define @t107 () (not @t106)) % 17.41/17.65 (define @t108 () (not @t59)) % 17.41/17.65 (define @t109 () (tptp.domain @t51)) % 17.41/17.65 (define @t110 () (tptp.addition @t53 @t51)) % 17.41/17.65 (define @t111 () (tptp.domain @t110)) % 17.41/17.65 (define @t112 () (= @t111 (tptp.addition (tptp.domain @t53) @t109))) % 17.41/17.65 (define @t113 () (not @t112)) % 17.41/17.65 (define @t114 () (tptp.domain @t50)) % 17.41/17.65 (define @t115 () (tptp.domain @t52)) % 17.41/17.65 (define @t116 () (tptp.addition @t115 @t114)) % 17.41/17.65 (define @t117 () (tptp.addition @t52 @t50)) % 17.41/17.65 (define @t118 () (= (tptp.domain @t117) @t116)) % 17.41/17.65 (define @t119 () (not @t118)) % 17.41/17.65 (define @t120 () (= (tptp.addition @t37 @t48) @t77)) % 17.41/17.65 (define @t121 () (not @t120)) % 17.41/17.65 (define @t122 () (tptp.multiplication @t35 @t50)) % 17.41/17.65 (define @t123 () (tptp.addition @t35 @t48)) % 17.41/17.65 (define @t124 () (tptp.multiplication @t123 @t50)) % 17.41/17.65 (define @t125 () (= @t124 (tptp.addition @t122 @t75))) % 17.41/17.65 (define @t126 () (not @t125)) % 17.41/17.65 (define @t127 () (tptp.addition @t51 @t50)) % 17.41/17.65 (define @t128 () (tptp.domain @t127)) % 17.41/17.65 (define @t129 () (= @t128 (tptp.addition @t109 @t114))) % 17.41/17.65 (define @t130 () (not @t129)) % 17.41/17.65 (define @t131 () (tptp.addition @t37 @t35)) % 17.41/17.65 (define @t132 () (= (tptp.multiplication @t131 @t37) @t117)) % 17.41/17.65 (define @t133 () (not @t132)) % 17.41/17.65 (define @t134 () (= @t69 @t102)) % 17.41/17.65 (define @t135 () (not @t134)) % 17.41/17.65 (define @t136 () (tptp.multiplication @t37 @t131)) % 17.41/17.65 (define @t137 () (= @t136 @t88)) % 17.41/17.65 (define @t138 () (not @t137)) % 17.41/17.65 (define @t139 () (tptp.multiplication @t37 tptp.one)) % 17.41/17.65 (define @t140 () (tptp.addition @t35 tptp.one)) % 17.41/17.65 (define @t141 () (tptp.multiplication @t37 @t140)) % 17.41/17.65 (define @t142 () (= @t141 (tptp.addition @t53 @t139))) % 17.41/17.65 (define @t143 () (not @t142)) % 17.41/17.65 (define @t144 () (tptp.addition @t53 @t52)) % 17.41/17.65 (define @t145 () (tptp.addition @t35 @t37)) % 17.41/17.65 (define @t146 () (= (tptp.multiplication @t37 @t145) @t144)) % 17.41/17.65 (define @t147 () (not @t146)) % 17.41/17.65 (define @t148 () (tptp.multiplication @t131 @t35)) % 17.41/17.65 (define @t149 () (= @t148 @t110)) % 17.41/17.65 (define @t150 () (not @t149)) % 17.41/17.65 (define @t151 () (tptp.multiplication tptp.one @t48)) % 17.41/17.65 (define @t152 () (tptp.multiplication tptp.one @t41)) % 17.41/17.65 (define @t153 () (tptp.domain @t152)) % 17.41/17.65 (define @t154 () (= @t153 (tptp.domain @t151))) % 17.41/17.65 (define @t155 () (not @t154)) % 17.41/17.65 (define @t156 () (tptp.multiplication tptp.one @t37)) % 17.41/17.65 (define @t157 () (tptp.addition @t50 @t156)) % 17.41/17.65 (define @t158 () (= (tptp.multiplication @t140 @t37) @t157)) % 17.41/17.65 (define @t159 () (not @t158)) % 17.41/17.65 (define @t160 () (= @t48 @t151)) % 17.41/17.65 (define @t161 () (not @t160)) % 17.41/17.65 (define @t162 () (tptp.multiplication @t145 @t37)) % 17.41/17.65 (define @t163 () (= @t162 @t95)) % 17.41/17.65 (define @t164 () (not @t163)) % 17.41/17.65 (define @t165 () (tptp.multiplication tptp.one @t35)) % 17.41/17.65 (define @t166 () (tptp.addition tptp.one @t37)) % 17.41/17.65 (define @t167 () (tptp.multiplication @t166 @t35)) % 17.41/17.65 (define @t168 () (= @t167 (tptp.addition @t165 @t53))) % 17.41/17.65 (define @t169 () (not @t168)) % 17.41/17.65 (define @t170 () (= tptp.one @t63)) % 17.41/17.65 (define @t171 () (not @t170)) % 17.41/17.65 (define @t172 () (= @t67 @t84)) % 17.41/17.65 (define @t173 () (not @t172)) % 17.41/17.65 (define @t174 () (= @t46 @t80)) % 17.41/17.65 (define @t175 () (not @t174)) % 17.41/17.65 (define @t176 () (= @t66 @t93)) % 17.41/17.65 (define @t177 () (not @t176)) % 17.41/17.65 (define @t178 () (= (tptp.multiplication @t145 @t35) @t104)) % 17.41/17.65 (define @t179 () (not @t178)) % 17.41/17.65 (define @t180 () (tptp.multiplication @t35 @t131)) % 17.41/17.65 (define @t181 () (= @t180 @t71)) % 17.41/17.65 (define @t182 () (not @t181)) % 17.41/17.65 (define @t183 () (tptp.multiplication @t35 tptp.one)) % 17.41/17.65 (define @t184 () (tptp.multiplication @t35 @t166)) % 17.41/17.65 (define @t185 () (= @t184 (tptp.addition @t183 @t50))) % 17.41/17.65 (define @t186 () (not @t185)) % 17.41/17.65 (define @t187 () (tptp.multiplication @t48 @t41)) % 17.41/17.65 (define @t188 () (tptp.addition @t41 @t187)) % 17.41/17.65 (define @t189 () (= @t187 @t188)) % 17.41/17.65 (define @t190 () (not @t189)) % 17.41/17.65 (define @t191 () (= @t41 @t152)) % 17.41/17.65 (define @t192 () (not @t191)) % 17.41/17.65 (define @t193 () (= @t122 @t103)) % 17.41/17.65 (define @t194 () (not @t193)) % 17.41/17.65 (define @t195 () (= (tptp.multiplication @t35 @t145) @t127)) % 17.41/17.65 (define @t196 () (not @t195)) % 17.41/17.65 (define @t197 () (tptp.multiplication @t166 @t37)) % 17.41/17.65 (define @t198 () (= @t197 (tptp.addition @t156 @t52))) % 17.41/17.65 (define @t199 () (not @t198)) % 17.41/17.65 (define @t200 () (tptp.addition @t37 tptp.one)) % 17.41/17.65 (define @t201 () (= @t200 @t166)) % 17.41/17.65 (define @t202 () (not @t201)) % 17.41/17.65 (define @t203 () (tptp.addition tptp.one @t35)) % 17.41/17.65 (define @t204 () (tptp.multiplication @t35 @t203)) % 17.41/17.65 (define @t205 () (= @t204 (tptp.addition @t183 @t51))) % 17.41/17.65 (define @t206 () (not @t205)) % 17.41/17.65 (define @t207 () (= @t140 @t203)) % 17.41/17.65 (define @t208 () (not @t207)) % 17.41/17.65 (define @t209 () (= @t145 @t131)) % 17.41/17.65 (define @t210 () (not @t209)) % 17.41/17.65 (define @t211 () (tptp.multiplication tptp.one @t33)) % 17.41/17.65 (define @t212 () (tptp.domain @t211)) % 17.41/17.65 (define @t213 () (= @t212 (tptp.domain @t156))) % 17.41/17.65 (define @t214 () (not @t213)) % 17.41/17.65 (define @t215 () (tptp.multiplication @t40 @t37)) % 17.41/17.65 (define @t216 () (tptp.addition @t37 @t215)) % 17.41/17.65 (define @t217 () (= @t215 @t216)) % 17.41/17.65 (define @t218 () (not @t217)) % 17.41/17.65 (define @t219 () (= @t37 @t156)) % 17.41/17.65 (define @t220 () (not @t219)) % 17.41/17.65 (define @t221 () (= @t37 @t139)) % 17.41/17.65 (define @t222 () (not @t221)) % 17.41/17.65 (define @t223 () (tptp.multiplication tptp.one @t31)) % 17.41/17.65 (define @t224 () (tptp.domain @t223)) % 17.41/17.65 (define @t225 () (= @t224 (tptp.domain @t165))) % 17.41/17.65 (define @t226 () (not @t225)) % 17.41/17.65 (define @t227 () (tptp.multiplication @t45 @t35)) % 17.41/17.65 (define @t228 () (tptp.addition @t35 @t227)) % 17.41/17.65 (define @t229 () (= @t227 @t228)) % 17.41/17.65 (define @t230 () (not @t229)) % 17.41/17.65 (define @t231 () (= @t35 @t165)) % 17.41/17.65 (define @t232 () (not @t231)) % 17.41/17.65 (define @t233 () (= @t35 @t183)) % 17.41/17.65 (define @t234 () (not @t233)) % 17.41/17.65 (define @t235 () (= tptp.one @t200)) % 17.41/17.65 (define @t236 () (not @t235)) % 17.41/17.65 (define @t237 () (= @t33 @t211)) % 17.41/17.65 (define @t238 () (not @t237)) % 17.41/17.65 (define @t239 () (tptp.addition @t33 tptp.zero)) % 17.41/17.65 (define @t240 () (= @t33 @t239)) % 17.41/17.65 (define @t241 () (not @t240)) % 17.41/17.65 (define @t242 () (tptp.addition tptp.zero @t33)) % 17.41/17.65 (define @t243 () (= @t242 @t239)) % 17.41/17.65 (define @t244 () (not @t243)) % 17.41/17.65 (define @t245 () (= tptp.one @t140)) % 17.41/17.65 (define @t246 () (not @t245)) % 17.41/17.65 (define @t247 () (= @t31 @t223)) % 17.41/17.65 (define @t248 () (not @t247)) % 17.41/17.65 (define @t249 () (tptp.addition @t31 tptp.zero)) % 17.41/17.65 (define @t250 () (= @t31 @t249)) % 17.41/17.65 (define @t251 () (not @t250)) % 17.41/17.65 (define @t252 () (tptp.addition tptp.zero @t31)) % 17.41/17.65 (define @t253 () (= @t252 @t249)) % 17.41/17.65 (define @t254 () (not @t253)) % 17.41/17.65 (define @t255 () (= @t50 @t53)) % 17.41/17.65 (define @t256 () (not @t255)) % 17.41/17.65 (define @t257 () (= @t70 @t72)) % 17.41/17.65 (define @t258 () (not @t257)) % 17.41/17.65 (define @t259 () (tptp.domain @t252)) % 17.41/17.65 (define @t260 () (tptp.domain @t242)) % 17.41/17.65 (define @t261 () (tptp.multiplication @t35 @t46)) % 17.41/17.65 (define @t262 () (tptp.addition @t261 @t80)) % 17.41/17.65 (define @t263 () (tptp.multiplication @t41 @t45)) % 17.41/17.65 (define @t264 () (tptp.multiplication @t37 @t41)) % 17.41/17.65 (define @t265 () (tptp.addition @t152 @t264)) % 17.41/17.65 (define @t266 () (tptp.domain @t48)) % 17.41/17.65 (define @t267 () (tptp.addition @t40 @t266)) % 17.41/17.65 (define @t268 () (and @t73 @t74)) % 17.41/17.65 (assume @p1 @t5) % 17.41/17.65 (assume @p2 (forall (@list @t6 @t2 @t1) (= (tptp.addition @t1 @t7) (tptp.addition @t3 @t6)))) % 17.41/17.65 (assume @p3 @t10) % 17.41/17.65 (assume @p4 (forall @t9 (= (tptp.addition @t1 @t1) @t1))) % 17.41/17.65 (assume @p5 (forall @t13 (= (tptp.multiplication @t1 @t12) (tptp.multiplication @t11 @t6)))) % 17.41/17.65 (assume @p6 @t15) % 17.41/17.65 (assume @p7 @t17) % 17.41/17.65 (assume @p8 (forall @t13 (= (tptp.multiplication @t1 @t7) (tptp.addition @t11 @t18)))) % 17.41/17.65 (assume @p9 (forall @t13 (= (tptp.multiplication @t3 @t6) (tptp.addition @t18 @t12)))) % 17.41/17.65 (assume @p10 (forall @t9 (= (tptp.multiplication @t1 tptp.zero) tptp.zero))) % 17.41/17.65 (assume @p11 (forall @t9 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 17.41/17.65 (assume @p12 (forall @t4 (= (tptp.leq @t1 @t2) (= @t3 @t2)))) % 17.41/17.65 (assume @p13 @t24) % 17.41/17.65 (assume @p14 (forall @t27 (= (tptp.domain (tptp.multiplication @t19 @t25)) (tptp.domain (tptp.multiplication @t19 @t26))))) % 17.41/17.65 (assume @p15 @t29) % 17.41/17.65 (assume @p16 (= (tptp.domain tptp.zero) tptp.zero)) % 17.41/17.65 (assume @p17 (forall @t27 (= (tptp.domain (tptp.addition @t19 @t25)) (tptp.addition @t20 @t26)))) % 17.41/17.65 (assume @p18 (not @t30)) % 17.41/17.65 (assume @p19 true) % 17.41/17.65 (step @p20 :rule skolemize :premises (@p18)) % 17.41/17.65 (step @p21 :rule instantiate :premises (@p1) :args ((@list tptp.zero @t31))) % 17.41/17.65 (step @p22 :rule eq-symm :args (@t8 @t1)) % 17.41/17.65 (step @p23 :rule cong :premises (@p22) :args (@t10)) % 17.41/17.65 (step @p24 :rule eq_resolve :premises (@p3 @p23)) % 17.41/17.65 (step @p25 :rule instantiate :premises (@p24) :args (@t32)) % 17.41/17.65 (step @p26 :rule eq-symm :args (@t16 @t1)) % 17.41/17.65 (step @p27 :rule cong :premises (@p26) :args (@t17)) % 17.41/17.65 (step @p28 :rule eq_resolve :premises (@p7 @p27)) % 17.41/17.65 (step @p29 :rule instantiate :premises (@p28) :args (@t32)) % 17.41/17.65 (step @p30 :rule eq-symm :args (@t28 tptp.one)) % 17.41/17.65 (step @p31 :rule cong :premises (@p30) :args (@t29)) % 17.41/17.65 (step @p32 :rule eq_resolve :premises (@p15 @p31)) % 17.41/17.65 (step @p33 :rule instantiate :premises (@p32) :args (@t32)) % 17.41/17.65 (step @p34 :rule instantiate :premises (@p1) :args ((@list tptp.zero @t33))) % 17.41/17.65 (step @p35 :rule instantiate :premises (@p24) :args (@t34)) % 17.41/17.65 (step @p36 :rule instantiate :premises (@p28) :args (@t34)) % 17.41/17.65 (step @p37 :rule instantiate :premises (@p32) :args (@t34)) % 17.41/17.65 (step @p38 :rule eq-symm :args (@t14 @t1)) % 17.41/17.65 (step @p39 :rule cong :premises (@p38) :args (@t15)) % 17.41/17.65 (step @p40 :rule eq_resolve :premises (@p6 @p39)) % 17.41/17.65 (step @p41 :rule instantiate :premises (@p40) :args (@t36)) % 17.41/17.65 (step @p42 :rule instantiate :premises (@p28) :args (@t36)) % 17.41/17.65 (step @p43 :rule eq-symm :args (@t22 @t21)) % 17.41/17.65 (step @p44 :rule cong :premises (@p43) :args (@t24)) % 17.41/17.65 (step @p45 :rule eq_resolve :premises (@p13 @p44)) % 17.41/17.65 (step @p46 :rule instantiate :premises (@p45) :args (@t36)) % 17.41/17.65 (step @p47 :rule instantiate :premises (@p14) :args ((@list tptp.one @t31))) % 17.41/17.65 (step @p48 :rule instantiate :premises (@p40) :args (@t38)) % 17.41/17.65 (step @p49 :rule instantiate :premises (@p28) :args (@t38)) % 17.41/17.65 (step @p50 :rule instantiate :premises (@p45) :args (@t38)) % 17.41/17.65 (step @p51 :rule instantiate :premises (@p14) :args ((@list tptp.one @t33))) % 17.41/17.65 (step @p52 :rule instantiate :premises (@p1) :args ((@list @t35 @t37))) % 17.41/17.65 (step @p53 :rule instantiate :premises (@p1) :args ((@list @t35 tptp.one))) % 17.41/17.65 (step @p54 :rule instantiate :premises (@p8) :args ((@list @t35 tptp.one @t35))) % 17.41/17.65 (step @p55 :rule instantiate :premises (@p1) :args ((@list @t37 tptp.one))) % 17.41/17.65 (step @p56 :rule instantiate :premises (@p9) :args ((@list tptp.one @t37 @t37))) % 17.41/17.65 (step @p57 :rule instantiate :premises (@p8) :args (@t39)) % 17.41/17.65 (step @p58 :rule instantiate :premises (@p5) :args (@t39)) % 17.41/17.65 (step @p59 :rule instantiate :premises (@p28) :args (@t42)) % 17.41/17.65 (step @p60 :rule instantiate :premises (@p45) :args (@t42)) % 17.41/17.65 (step @p61 :rule instantiate :premises (@p8) :args (@t43)) % 17.41/17.65 (step @p62 :rule instantiate :premises (@p9) :args (@t44)) % 17.41/17.65 (step @p63 :rule instantiate :premises (@p5) :args (@t44)) % 17.41/17.65 (step @p64 :rule instantiate :premises (@p28) :args (@t47)) % 17.41/17.65 (step @p65 :rule instantiate :premises (@p45) :args (@t47)) % 17.41/17.65 (step @p66 :rule instantiate :premises (@p32) :args (@t47)) % 17.41/17.65 (step @p67 :rule instantiate :premises (@p9) :args ((@list tptp.one @t37 @t35))) % 17.41/17.65 (step @p68 :rule instantiate :premises (@p9) :args ((@list @t35 @t37 @t37))) % 17.41/17.65 (step @p69 :rule instantiate :premises (@p8) :args (@t44)) % 17.41/17.65 (step @p70 :rule instantiate :premises (@p28) :args ((@list @t48))) % 17.41/17.65 (step @p71 :rule instantiate :premises (@p9) :args (@t43)) % 17.41/17.65 (step @p72 :rule instantiate :premises (@p14) :args ((@list tptp.one @t41))) % 17.41/17.65 (step @p73 :rule instantiate :premises (@p9) :args ((@list @t37 @t35 @t35))) % 17.41/17.65 (step @p74 :rule instantiate :premises (@p8) :args (@t49)) % 17.41/17.65 (step @p75 :rule instantiate :premises (@p8) :args ((@list @t37 @t35 tptp.one))) % 17.41/17.65 (step @p76 :rule instantiate :premises (@p8) :args ((@list @t37 @t37 @t35))) % 17.41/17.65 (step @p77 :rule instantiate :premises (@p5) :args (@t49)) % 17.41/17.65 (step @p78 :rule instantiate :premises (@p9) :args (@t49)) % 17.41/17.65 (step @p79 :rule instantiate :premises (@p17) :args ((@list @t51 @t50))) % 17.41/17.65 (step @p80 :rule instantiate :premises (@p9) :args ((@list @t35 @t48 @t50))) % 17.41/17.65 (step @p81 :rule instantiate :premises (@p1) :args ((@list @t37 @t48))) % 17.41/17.65 (step @p82 :rule instantiate :premises (@p17) :args ((@list @t52 @t50))) % 17.41/17.65 (step @p83 :rule instantiate :premises (@p17) :args ((@list @t53 @t51))) % 17.41/17.65 (step @p84 :rule eq-symm :args (@t55 @t56)) % 17.41/17.65 (step @p85 :rule refl :args (@t5)) % 17.41/17.65 (step @p86 :rule cong :premises (@p85 @p84) :args ((=> @t5 @t57))) % 17.41/17.65 (assume-push @p499 @t5) % 17.41/17.65 (step @p88 :rule instantiate :premises (@p1) :args (@t58)) % 17.41/17.65 (step-pop @p500 :rule scope :premises (@p88)) % 17.41/17.65 (step @p89 :rule process_scope :premises (@p500) :args (@t57)) % 17.41/17.65 (step @p91 :rule eq_resolve :premises (@p89 @p86)) % 17.41/17.65 (step @p92 :rule implies_elim :premises (@p91)) % 17.41/17.65 (step @p93 :rule chain_m_resolution :premises (@p92 @p1) :args (@t59 @t60 @t61)) % 17.41/17.65 (step @p94 :rule instantiate :premises (@p9) :args ((@list @t51 @t53 @t37))) % 17.41/17.65 (step @p95 :rule eq-symm :args (@t62 @t63)) % 17.41/17.65 (step @p96 :rule cong :premises (@p85 @p95) :args ((=> @t5 @t64))) % 17.41/17.65 (assume-push @p501 @t5) % 17.41/17.65 (step @p98 :rule instantiate :premises (@p1) :args ((@list tptp.one @t54))) % 17.41/17.65 (step-pop @p502 :rule scope :premises (@p98)) % 17.41/17.65 (step @p99 :rule process_scope :premises (@p502) :args (@t64)) % 17.41/17.65 (step @p101 :rule eq_resolve :premises (@p99 @p96)) % 17.41/17.65 (step @p102 :rule implies_elim :premises (@p101)) % 17.41/17.65 (step @p103 :rule chain_m_resolution :premises (@p102 @p1) :args (@t65 @t60 @t61)) % 17.41/17.65 (step @p104 :rule instantiate :premises (@p9) :args ((@list @t35 @t54 @t53))) % 17.41/17.65 (step @p105 :rule instantiate :premises (@p9) :args ((@list @t50 @t52 @t35))) % 17.41/17.65 (step @p106 :rule instantiate :premises (@p8) :args ((@list @t35 @t52 @t53))) % 17.41/17.65 (step @p107 :rule instantiate :premises (@p2) :args ((@list @t67 @t46 @t66))) % 17.41/17.65 (step @p108 :rule instantiate :premises (@p9) :args ((@list tptp.one @t54 @t46))) % 17.41/17.65 (step @p109 :rule instantiate :premises (@p9) :args ((@list @t48 @t37 @t50))) % 17.41/17.65 (step @p110 :rule instantiate :premises (@p8) :args ((@list @t37 @t50 @t51))) % 17.41/17.65 (step @p111 :rule refl :args (@t74)) % 17.41/17.65 (step @p112 :rule refl :args (@t79)) % 17.41/17.65 (step @p113 :rule refl :args (@t83)) % 17.41/17.65 (step @p114 :rule refl :args (@t87)) % 17.41/17.65 (step @p115 :rule refl :args (@t91)) % 17.41/17.65 (step @p116 :rule refl :args (@t97)) % 17.41/17.65 (step @p117 :rule refl :args (@t100)) % 17.41/17.65 (step @p118 :rule refl :args (@t101)) % 17.41/17.65 (step @p119 :rule refl :args (@t107)) % 17.41/17.65 (step @p120 :rule refl :args (@t108)) % 17.41/17.65 (step @p121 :rule refl :args (@t113)) % 17.41/17.65 (step @p122 :rule refl :args (@t119)) % 17.41/17.65 (step @p123 :rule refl :args (@t121)) % 17.41/17.65 (step @p124 :rule refl :args (@t126)) % 17.41/17.65 (step @p125 :rule refl :args (@t130)) % 17.41/17.65 (step @p126 :rule refl :args (@t133)) % 17.41/17.65 (step @p127 :rule refl :args (@t135)) % 17.41/17.65 (step @p128 :rule refl :args (@t138)) % 17.41/17.65 (step @p129 :rule refl :args (@t143)) % 17.41/17.65 (step @p130 :rule refl :args (@t147)) % 17.41/17.65 (step @p131 :rule refl :args (@t150)) % 17.41/17.65 (step @p132 :rule refl :args (@t155)) % 17.41/17.65 (step @p133 :rule refl :args (@t159)) % 17.41/17.65 (step @p134 :rule refl :args (@t161)) % 17.41/17.65 (step @p135 :rule refl :args (@t164)) % 17.41/17.65 (step @p136 :rule refl :args (@t169)) % 17.41/17.65 (step @p137 :rule refl :args (@t171)) % 17.41/17.65 (step @p138 :rule refl :args (@t173)) % 17.41/17.65 (step @p139 :rule refl :args (@t175)) % 17.41/17.65 (step @p140 :rule refl :args (@t177)) % 17.41/17.65 (step @p141 :rule refl :args (@t179)) % 17.41/17.65 (step @p142 :rule refl :args (@t182)) % 17.41/17.65 (step @p143 :rule refl :args (@t186)) % 17.41/17.65 (step @p144 :rule refl :args (@t190)) % 17.41/17.65 (step @p145 :rule refl :args (@t192)) % 17.41/17.65 (step @p146 :rule refl :args (@t194)) % 17.41/17.65 (step @p147 :rule refl :args (@t196)) % 17.41/17.65 (step @p148 :rule refl :args (@t199)) % 17.41/17.65 (step @p149 :rule refl :args (@t202)) % 17.41/17.65 (step @p150 :rule refl :args (@t206)) % 17.41/17.65 (step @p151 :rule refl :args (@t208)) % 17.41/17.65 (step @p152 :rule refl :args (@t210)) % 17.41/17.65 (step @p153 :rule refl :args (@t214)) % 17.41/17.65 (step @p154 :rule refl :args (@t218)) % 17.41/17.65 (step @p155 :rule refl :args (@t220)) % 17.41/17.65 (step @p156 :rule refl :args (@t222)) % 17.41/17.65 (step @p157 :rule refl :args (@t226)) % 17.41/17.65 (step @p158 :rule refl :args (@t230)) % 17.41/17.65 (step @p159 :rule refl :args (@t232)) % 17.41/17.65 (step @p160 :rule refl :args (@t234)) % 17.41/17.65 (step @p161 :rule refl :args (@t236)) % 17.41/17.65 (step @p162 :rule refl :args (@t238)) % 17.41/17.65 (step @p163 :rule refl :args (@t241)) % 17.41/17.65 (step @p164 :rule refl :args (@t244)) % 17.41/17.65 (step @p165 :rule refl :args (@t246)) % 17.41/17.65 (step @p166 :rule refl :args (@t248)) % 17.41/17.65 (step @p167 :rule refl :args (@t251)) % 17.41/17.65 (step @p168 :rule refl :args (@t254)) % 17.41/17.65 (step @p169 :rule bool-double-not-elim :args (@t255)) % 17.41/17.65 (step @p170 :rule nary_cong :premises (@p169 @p168 @p167 @p166 @p165 @p164 @p163 @p162 @p161 @p160 @p159 @p158 @p157 @p156 @p155 @p154 @p153 @p152 @p151 @p150 @p149 @p148 @p147 @p146 @p145 @p144 @p143 @p142 @p141 @p140 @p139 @p138 @p137 @p136 @p135 @p134 @p133 @p132 @p131 @p130 @p129 @p128 @p127 @p126 @p125 @p124 @p123 @p122 @p121 @p120 @p119 @p118 @p117 @p116 @p115 @p114 @p113 @p112 @p111) :args ((or (not @t256) @t254 @t251 @t248 @t246 @t244 @t241 @t238 @t236 @t234 @t232 @t230 @t226 @t222 @t220 @t218 @t214 @t210 @t208 @t206 @t202 @t199 @t196 @t194 @t192 @t190 @t186 @t182 @t179 @t177 @t175 @t173 @t171 @t169 @t164 @t161 @t159 @t155 @t150 @t147 @t143 @t138 @t135 @t133 @t130 @t126 @t121 @t119 @t113 @t108 @t107 @t101 @t100 @t97 @t91 @t87 @t83 @t79 @t74))) % 17.41/17.65 (assume-push @p503 @t73) % 17.41/17.65 (assume-push @p504 @t74) % 17.41/17.65 (step @p173 :rule evaluate :args ((= false true))) % 17.41/17.65 (step @p174 :rule true_intro :premises (@p110)) % 17.41/17.65 (step @p175 :rule bool-eq-false :args (@t73)) % 17.41/17.65 (step @p176 :rule symm :premises (@p175)) % 17.41/17.65 (step @p177 :rule eq-symm :args (@t70 @t72)) % 17.41/17.65 (step @p178 :rule cong :premises (@p177) :args (@t258)) % 17.41/17.65 (step @p179 :rule bool-eq-false :args (@t257)) % 17.41/17.65 (step @p180 :rule trans :premises (@p179 @p178)) % 17.41/17.65 (step @p181 :rule trans :premises (@p180 @p176)) % 17.41/17.65 (step @p182 :rule false_intro :premises (@p20)) % 17.41/17.65 (step @p183 :rule symm :premises (@p41)) % 17.41/17.65 (step @p184 :rule symm :premises (@p37)) % 17.41/17.65 (step @p185 :rule symm :premises (@p55)) % 17.41/17.65 (step @p186 :rule trans :premises (@p185 @p184)) % 17.41/17.65 (step @p187 :rule refl :args (@t35)) % 17.41/17.65 (step @p188 :rule cong :premises (@p187 @p186) :args (@t184)) % 17.41/17.65 (step @p189 :rule symm :premises (@p61)) % 17.41/17.65 (step @p190 :rule refl :args (@t50)) % 17.41/17.65 (step @p191 :rule symm :premises (@p33)) % 17.41/17.65 (step @p192 :rule symm :premises (@p53)) % 17.41/17.65 (step @p193 :rule trans :premises (@p192 @p191)) % 17.41/17.65 (step @p194 :rule cong :premises (@p187 @p193) :args (@t204)) % 17.41/17.65 (step @p195 :rule symm :premises (@p54)) % 17.41/17.65 (step @p196 :rule symm :premises (@p25)) % 17.41/17.65 (step @p197 :rule trans :premises (@p21 @p196)) % 17.41/17.65 (step @p198 :rule cong :premises (@p197) :args (@t259)) % 17.41/17.65 (step @p199 :rule symm :premises (@p21)) % 17.41/17.65 (step @p200 :rule symm :premises (@p29)) % 17.41/17.65 (step @p201 :rule trans :premises (@p200 @p25 @p199)) % 17.41/17.65 (step @p202 :rule cong :premises (@p201) :args (@t224)) % 17.41/17.65 (step @p203 :rule symm :premises (@p47)) % 17.41/17.65 (step @p204 :rule cong :premises (@p42) :args (@t45)) % 17.41/17.65 (step @p205 :rule trans :premises (@p204 @p203 @p202 @p198)) % 17.41/17.65 (step @p206 :rule cong :premises (@p205 @p187) :args (@t227)) % 17.41/17.65 (step @p207 :rule cong :premises (@p41 @p206) :args (@t228)) % 17.41/17.65 (step @p208 :rule symm :premises (@p206)) % 17.41/17.65 (step @p209 :rule trans :premises (@p208 @p46 @p207 @p195 @p194 @p183)) % 17.41/17.65 (step @p210 :rule trans :premises (@p209 @p41)) % 17.41/17.65 (step @p211 :rule cong :premises (@p210 @p190) :args (@t127)) % 17.41/17.65 (step @p212 :rule symm :premises (@p52)) % 17.41/17.65 (step @p213 :rule cong :premises (@p187 @p212) :args (@t180)) % 17.41/17.65 (step @p214 :rule symm :premises (@p69)) % 17.41/17.65 (step @p215 :rule trans :premises (@p214 @p213 @p57 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@p616 :rule scope :premises (@p615)) % 17.41/17.66 (step-pop @p617 :rule scope :premises (@p616)) % 17.41/17.66 (step-pop @p618 :rule scope :premises (@p617)) % 17.41/17.66 (step-pop @p619 :rule scope :premises (@p618)) % 17.41/17.66 (step-pop @p620 :rule scope :premises (@p619)) % 17.41/17.66 (step-pop @p621 :rule scope :premises (@p620)) % 17.41/17.66 (step-pop @p622 :rule scope :premises (@p621)) % 17.41/17.66 (step-pop @p623 :rule scope :premises (@p622)) % 17.41/17.66 (step-pop @p624 :rule scope :premises (@p623)) % 17.41/17.66 (step @p433 :rule process_scope :premises (@p624) :args (@t268)) % 17.41/17.66 (step @p493 :rule implies_elim :premises (@p433)) % 17.41/17.66 (step @p494 :rule resolution :premises (@p493 @p368) :args (true @t268)) % 17.41/17.66 (step @p495 :rule not_and :premises (@p494)) % 17.41/17.66 (step @p496 :rule eq_resolve :premises (@p495 @p170)) % 17.41/17.66 (step @p497 :rule reordering :premises (@p496) :args ((or @t255 @t254 @t251 @t248 @t246 @t244 @t241 @t238 @t236 @t234 @t232 @t230 @t226 @t222 @t220 @t218 @t214 @t210 @t208 @t206 @t202 @t199 @t196 @t194 @t192 @t190 @t186 @t179 @t177 @t175 @t173 @t171 @t169 @t164 @t182 @t161 @t159 @t155 @t150 @t147 @t143 @t138 @t135 @t133 @t130 @t126 @t121 @t119 @t113 @t108 @t107 @t101 @t100 @t97 @t91 @t87 @t83 @t79 @t74))) % 17.41/17.66 (step @p498 false :rule chain_m_resolution :premises (@p497 @p110 @p109 @p108 @p107 @p106 @p105 @p104 @p103 @p94 @p93 @p83 @p82 @p81 @p80 @p79 @p78 @p77 @p76 @p75 @p74 @p73 @p72 @p71 @p70 @p69 @p68 @p67 @p66 @p65 @p64 @p63 @p62 @p61 @p60 @p59 @p58 @p57 @p56 @p55 @p54 @p53 @p52 @p51 @p50 @p49 @p48 @p47 @p46 @p42 @p41 @p37 @p36 @p35 @p34 @p33 @p29 @p25 @p21 @p20) :args (false (@list false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false true) (@list @t73 @t78 @t82 @t86 @t90 @t96 @t99 @t65 @t106 @t59 @t112 @t118 @t120 @t125 @t129 @t132 @t134 @t137 @t142 @t146 @t149 @t154 @t158 @t160 @t181 @t163 @t168 @t170 @t172 @t174 @t176 @t178 @t185 @t189 @t191 @t193 @t195 @t198 @t201 @t205 @t207 @t209 @t213 @t217 @t219 @t221 @t225 @t229 @t231 @t233 @t235 @t237 @t240 @t243 @t245 @t247 @t250 @t253 @t255))) % 17.41/17.66 ) % 17.41/17.66 % SZS output end Proof % 17.41/17.66 % cvc5 exiting %------------------------------------------------------------------------------