%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : BOO013-2 : TPTP v9.2.1. Bugfixed v1.2.1. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n004.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 08:09:03 AM UTC 2026 % Result : Unsatisfiable 0.44s 0.69s % Output : Proof 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : BOO013-2 : TPTP v9.2.1. Bugfixed v1.2.1. % 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 : n004.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 : Wed Jun 3 02:37:52 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.44/0.69 % SZS status Unsatisfiable % 0.44/0.69 % SZS output start Proof % 0.52/0.71 ( % 0.52/0.71 (declare-sort $$unsorted 0) % 0.52/0.71 (declare-const tptp.c $$unsorted) % 0.52/0.71 (declare-const tptp.a $$unsorted) % 0.52/0.71 (declare-const tptp.b $$unsorted) % 0.52/0.71 (declare-const tptp.additive_identity $$unsorted) % 0.52/0.71 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.52/0.71 (declare-const tptp.multiplicative_identity $$unsorted) % 0.52/0.71 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.71 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.71 (define @t1 () (@var "X" $$unsorted)) % 0.52/0.71 (define @t2 () (@var "Y" $$unsorted)) % 0.52/0.71 (define @t3 () (tptp.add @t1 @t2)) % 0.52/0.71 (define @t4 () (@list @t1 @t2)) % 0.52/0.71 (define @t5 () (forall @t4 (= @t3 (tptp.add @t2 @t1)))) % 0.52/0.71 (define @t6 () (tptp.multiply @t1 @t2)) % 0.52/0.71 (define @t7 () (forall @t4 (= @t6 (tptp.multiply @t2 @t1)))) % 0.52/0.71 (define @t8 () (@var "Z" $$unsorted)) % 0.52/0.71 (define @t9 () (tptp.add @t2 @t8)) % 0.52/0.71 (define @t10 () (tptp.add @t1 @t8)) % 0.52/0.71 (define @t11 () (@list @t1 @t2 @t8)) % 0.52/0.71 (define @t12 () (tptp.multiply @t2 @t8)) % 0.52/0.71 (define @t13 () (forall @t11 (= (tptp.add @t1 @t12) (tptp.multiply @t3 @t10)))) % 0.52/0.71 (define @t14 () (tptp.multiply @t1 @t8)) % 0.52/0.71 (define @t15 () (forall @t11 (= (tptp.multiply @t1 @t9) (tptp.add @t6 @t14)))) % 0.52/0.71 (define @t16 () (tptp.inverse @t1)) % 0.52/0.71 (define @t17 () (@list @t1)) % 0.52/0.71 (define @t18 () (tptp.add @t16 @t1)) % 0.52/0.71 (define @t19 () (forall @t17 (= @t18 tptp.multiplicative_identity))) % 0.52/0.71 (define @t20 () (tptp.multiply @t16 @t1)) % 0.52/0.71 (define @t21 () (forall @t17 (= @t20 tptp.additive_identity))) % 0.52/0.71 (define @t22 () (tptp.multiply @t1 tptp.multiplicative_identity)) % 0.52/0.71 (define @t23 () (forall @t17 (= @t22 @t1))) % 0.52/0.71 (define @t24 () (tptp.add @t1 tptp.additive_identity)) % 0.52/0.71 (define @t25 () (forall @t17 (= @t24 @t1))) % 0.52/0.71 (define @t26 () (tptp.add tptp.additive_identity @t1)) % 0.52/0.71 (define @t27 () (forall @t17 (= @t26 @t1))) % 0.52/0.71 (define @t28 () (tptp.add tptp.a tptp.b)) % 0.52/0.71 (define @t29 () (tptp.add tptp.a tptp.c)) % 0.52/0.71 (define @t30 () (tptp.multiply tptp.a tptp.b)) % 0.52/0.71 (define @t31 () (tptp.multiply tptp.a tptp.c)) % 0.52/0.71 (define @t32 () (= tptp.b tptp.c)) % 0.52/0.71 (define @t33 () (not @t32)) % 0.52/0.71 (define @t34 () (@list tptp.a tptp.b)) % 0.52/0.71 (define @t35 () (@list tptp.a tptp.c)) % 0.52/0.71 (define @t36 () (@list tptp.multiplicative_identity tptp.additive_identity)) % 0.52/0.71 (define @t37 () (@list tptp.multiplicative_identity tptp.multiplicative_identity tptp.multiplicative_identity)) % 0.52/0.71 (define @t38 () (tptp.multiply tptp.multiplicative_identity tptp.multiplicative_identity)) % 0.52/0.71 (define @t39 () (tptp.add tptp.multiplicative_identity @t38)) % 0.52/0.71 (define @t40 () (tptp.add tptp.multiplicative_identity tptp.multiplicative_identity)) % 0.52/0.71 (define @t41 () (tptp.multiply @t40 @t40)) % 0.52/0.71 (define @t42 () (= @t39 @t41)) % 0.52/0.71 (define @t43 () (= @t41 @t39)) % 0.52/0.71 (define @t44 () (@list false)) % 0.52/0.71 (define @t45 () (tptp.multiply tptp.multiplicative_identity @t40)) % 0.52/0.71 (define @t46 () (tptp.add @t38 @t38)) % 0.52/0.71 (define @t47 () (= @t45 @t46)) % 0.52/0.71 (define @t48 () (= @t46 @t45)) % 0.52/0.71 (define @t49 () (@list @t15)) % 0.52/0.71 (define @t50 () (@list tptp.multiplicative_identity)) % 0.52/0.71 (define @t51 () (tptp.inverse tptp.multiplicative_identity)) % 0.52/0.71 (define @t52 () (tptp.multiply tptp.multiplicative_identity tptp.additive_identity)) % 0.52/0.71 (define @t53 () (tptp.multiply tptp.additive_identity tptp.additive_identity)) % 0.52/0.71 (define @t54 () (tptp.add tptp.multiplicative_identity tptp.a)) % 0.52/0.71 (define @t55 () (tptp.add tptp.a tptp.multiplicative_identity)) % 0.52/0.71 (define @t56 () (= @t54 @t55)) % 0.52/0.71 (define @t57 () (@list tptp.multiplicative_identity tptp.a)) % 0.52/0.71 (define @t58 () (= @t55 @t54)) % 0.52/0.71 (define @t59 () (@list @t5)) % 0.52/0.71 (define @t60 () (tptp.add tptp.multiplicative_identity tptp.c)) % 0.52/0.71 (define @t61 () (tptp.add tptp.c tptp.multiplicative_identity)) % 0.52/0.71 (define @t62 () (= @t60 @t61)) % 0.52/0.71 (define @t63 () (@list tptp.multiplicative_identity tptp.c)) % 0.52/0.71 (define @t64 () (= @t61 @t60)) % 0.52/0.71 (define @t65 () (tptp.add @t53 tptp.a)) % 0.52/0.71 (define @t66 () (tptp.add @t53 tptp.c)) % 0.52/0.71 (define @t67 () (tptp.add @t65 @t65)) % 0.52/0.71 (define @t68 () (tptp.multiply @t66 @t67)) % 0.52/0.71 (define @t69 () (tptp.multiply @t66 @t65)) % 0.52/0.71 (define @t70 () (tptp.add @t69 @t69)) % 0.52/0.71 (define @t71 () (= @t68 @t70)) % 0.52/0.71 (define @t72 () (= @t70 @t68)) % 0.52/0.71 (define @t73 () (tptp.add tptp.multiplicative_identity @t54)) % 0.52/0.71 (define @t74 () (tptp.add @t54 tptp.multiplicative_identity)) % 0.52/0.71 (define @t75 () (= @t73 @t74)) % 0.52/0.71 (define @t76 () (@list tptp.multiplicative_identity @t54)) % 0.52/0.71 (define @t77 () (= @t74 @t73)) % 0.52/0.71 (define @t78 () (tptp.multiply tptp.c @t65)) % 0.52/0.71 (define @t79 () (tptp.multiply @t53 @t65)) % 0.52/0.71 (define @t80 () (tptp.multiply @t40 tptp.a)) % 0.52/0.71 (define @t81 () (tptp.multiply tptp.a @t40)) % 0.52/0.71 (define @t82 () (= @t80 @t81)) % 0.52/0.71 (define @t83 () (@list @t40 tptp.a)) % 0.52/0.71 (define @t84 () (= @t81 @t80)) % 0.52/0.71 (define @t85 () (@list @t7)) % 0.52/0.71 (define @t86 () (tptp.multiply tptp.additive_identity tptp.c)) % 0.52/0.71 (define @t87 () (tptp.multiply tptp.c tptp.additive_identity)) % 0.52/0.71 (define @t88 () (= @t86 @t87)) % 0.52/0.71 (define @t89 () (= @t87 @t86)) % 0.52/0.71 (define @t90 () (tptp.multiply tptp.a tptp.additive_identity)) % 0.52/0.71 (define @t91 () (tptp.multiply @t60 tptp.a)) % 0.52/0.71 (define @t92 () (tptp.multiply @t60 tptp.multiplicative_identity)) % 0.52/0.71 (define @t93 () (tptp.add tptp.additive_identity tptp.a)) % 0.52/0.71 (define @t94 () (tptp.add @t66 @t66)) % 0.52/0.71 (define @t95 () (tptp.add @t93 @t94)) % 0.52/0.71 (define @t96 () (tptp.add @t93 tptp.b)) % 0.52/0.71 (define @t97 () (@list tptp.b)) % 0.52/0.71 (define @t98 () (tptp.add tptp.b tptp.a)) % 0.52/0.71 (define @t99 () (tptp.add tptp.b tptp.c)) % 0.52/0.71 (define @t100 () (tptp.multiply @t99 @t98)) % 0.52/0.71 (define @t101 () (tptp.multiply tptp.c tptp.a)) % 0.52/0.71 (define @t102 () (tptp.add tptp.b @t101)) % 0.52/0.71 (define @t103 () (= @t102 @t100)) % 0.52/0.71 (define @t104 () (not @t103)) % 0.52/0.71 (define @t105 () (tptp.multiply tptp.b tptp.a)) % 0.52/0.71 (define @t106 () (tptp.add @t105 tptp.c)) % 0.52/0.71 (define @t107 () (= @t106 (tptp.multiply @t99 @t29))) % 0.52/0.71 (define @t108 () (not @t107)) % 0.52/0.71 (define @t109 () (= tptp.b (tptp.add tptp.additive_identity tptp.b))) % 0.52/0.71 (define @t110 () (not @t109)) % 0.52/0.71 (define @t111 () (= tptp.b (tptp.multiply tptp.b tptp.multiplicative_identity))) % 0.52/0.71 (define @t112 () (not @t111)) % 0.52/0.71 (define @t113 () (tptp.add @t95 tptp.b)) % 0.52/0.71 (define @t114 () (tptp.multiply @t113 @t96)) % 0.52/0.71 (define @t115 () (= @t114 (tptp.add (tptp.multiply @t95 @t96) (tptp.multiply tptp.b @t96)))) % 0.52/0.71 (define @t116 () (not @t115)) % 0.52/0.71 (define @t117 () (tptp.add tptp.c tptp.b)) % 0.52/0.71 (define @t118 () (= @t117 @t99)) % 0.52/0.71 (define @t119 () (not @t118)) % 0.52/0.71 (define @t120 () (tptp.add @t30 tptp.b)) % 0.52/0.71 (define @t121 () (= @t120 (tptp.add tptp.b @t30))) % 0.52/0.71 (define @t122 () (not @t121)) % 0.52/0.71 (define @t123 () (tptp.add tptp.c @t66)) % 0.52/0.71 (define @t124 () (tptp.multiply tptp.c @t40)) % 0.52/0.71 (define @t125 () (tptp.add @t124 @t66)) % 0.52/0.71 (define @t126 () (= @t125 (tptp.multiply @t123 (tptp.add @t40 @t66)))) % 0.52/0.71 (define @t127 () (not @t126)) % 0.52/0.71 (define @t128 () (tptp.multiply @t95 @t93)) % 0.52/0.71 (define @t129 () (tptp.add @t128 tptp.b)) % 0.52/0.71 (define @t130 () (= @t129 @t114)) % 0.52/0.71 (define @t131 () (not @t130)) % 0.52/0.71 (define @t132 () (tptp.multiply @t94 @t93)) % 0.52/0.71 (define @t133 () (tptp.multiply @t93 @t93)) % 0.52/0.71 (define @t134 () (tptp.add @t133 @t132)) % 0.52/0.71 (define @t135 () (= @t128 @t134)) % 0.52/0.71 (define @t136 () (not @t135)) % 0.52/0.71 (define @t137 () (tptp.add @t92 @t91)) % 0.52/0.71 (define @t138 () (tptp.multiply @t137 tptp.a)) % 0.52/0.71 (define @t139 () (= @t138 (tptp.add (tptp.multiply @t92 tptp.a) (tptp.multiply @t91 tptp.a)))) % 0.52/0.71 (define @t140 () (not @t139)) % 0.52/0.71 (define @t141 () (tptp.add tptp.c tptp.a)) % 0.52/0.71 (define @t142 () (tptp.add tptp.c @t53)) % 0.52/0.71 (define @t143 () (tptp.multiply @t53 tptp.a)) % 0.52/0.71 (define @t144 () (tptp.add tptp.c @t143)) % 0.52/0.71 (define @t145 () (= @t144 (tptp.multiply @t142 @t141))) % 0.52/0.71 (define @t146 () (not @t145)) % 0.52/0.71 (define @t147 () (tptp.add tptp.a @t53)) % 0.52/0.71 (define @t148 () (tptp.multiply @t147 @t29)) % 0.52/0.71 (define @t149 () (= (tptp.add tptp.a (tptp.multiply @t53 tptp.c)) @t148)) % 0.52/0.71 (define @t150 () (not @t149)) % 0.52/0.71 (define @t151 () (tptp.add tptp.c @t67)) % 0.52/0.71 (define @t152 () (tptp.multiply @t123 @t151)) % 0.52/0.71 (define @t153 () (= (tptp.add tptp.c @t68) @t152)) % 0.52/0.71 (define @t154 () (not @t153)) % 0.52/0.71 (define @t155 () (tptp.multiply @t60 @t29)) % 0.52/0.71 (define @t156 () (tptp.multiply tptp.multiplicative_identity tptp.a)) % 0.52/0.71 (define @t157 () (= (tptp.add @t156 tptp.c) @t155)) % 0.52/0.71 (define @t158 () (not @t157)) % 0.52/0.71 (define @t159 () (tptp.multiply @t40 @t55)) % 0.52/0.71 (define @t160 () (= (tptp.add @t156 tptp.multiplicative_identity) @t159)) % 0.52/0.71 (define @t161 () (not @t160)) % 0.52/0.71 (define @t162 () (tptp.add (tptp.multiply @t40 tptp.c) @t80)) % 0.52/0.71 (define @t163 () (= @t162 (tptp.multiply (tptp.add @t40 @t80) (tptp.add tptp.c @t80)))) % 0.52/0.71 (define @t164 () (not @t163)) % 0.52/0.71 (define @t165 () (tptp.add @t79 @t78)) % 0.52/0.71 (define @t166 () (= @t165 (tptp.multiply (tptp.add @t53 @t78) (tptp.add @t65 @t78)))) % 0.52/0.71 (define @t167 () (not @t166)) % 0.52/0.71 (define @t168 () (tptp.add tptp.additive_identity @t90)) % 0.52/0.71 (define @t169 () (tptp.add tptp.c @t90)) % 0.52/0.71 (define @t170 () (tptp.multiply @t169 @t168)) % 0.52/0.71 (define @t171 () (tptp.add @t87 @t90)) % 0.52/0.71 (define @t172 () (= @t171 @t170)) % 0.52/0.71 (define @t173 () (not @t172)) % 0.52/0.71 (define @t174 () (tptp.multiply @t61 tptp.a)) % 0.52/0.71 (define @t175 () (= @t174 (tptp.multiply tptp.a @t61))) % 0.52/0.71 (define @t176 () (not @t175)) % 0.52/0.71 (define @t177 () (not @t89)) % 0.52/0.71 (define @t178 () (= @t79 (tptp.multiply @t65 @t53))) % 0.52/0.71 (define @t179 () (not @t178)) % 0.52/0.71 (define @t180 () (tptp.multiply @t55 tptp.multiplicative_identity)) % 0.52/0.71 (define @t181 () (tptp.multiply tptp.multiplicative_identity @t55)) % 0.52/0.71 (define @t182 () (= @t181 @t180)) % 0.52/0.71 (define @t183 () (not @t182)) % 0.52/0.71 (define @t184 () (not @t84)) % 0.52/0.71 (define @t185 () (= @t165 (tptp.add @t78 @t79))) % 0.52/0.71 (define @t186 () (not @t185)) % 0.52/0.71 (define @t187 () (not @t77)) % 0.52/0.71 (define @t188 () (tptp.add tptp.additive_identity tptp.c)) % 0.52/0.71 (define @t189 () (= tptp.c @t188)) % 0.52/0.71 (define @t190 () (not @t189)) % 0.52/0.71 (define @t191 () (= tptp.a @t93)) % 0.52/0.71 (define @t192 () (not @t191)) % 0.52/0.71 (define @t193 () (not @t72)) % 0.52/0.71 (define @t194 () (tptp.multiply @t60 @t54)) % 0.52/0.71 (define @t195 () (= @t194 @t137)) % 0.52/0.71 (define @t196 () (not @t195)) % 0.52/0.71 (define @t197 () (tptp.multiply @t40 @t141)) % 0.52/0.71 (define @t198 () (= @t197 @t162)) % 0.52/0.71 (define @t199 () (not @t198)) % 0.52/0.71 (define @t200 () (= (tptp.multiply @t94 @t65) @t70)) % 0.52/0.71 (define @t201 () (not @t200)) % 0.52/0.71 (define @t202 () (= @t69 @t165)) % 0.52/0.71 (define @t203 () (not @t202)) % 0.52/0.71 (define @t204 () (tptp.multiply tptp.c @t54)) % 0.52/0.71 (define @t205 () (tptp.multiply tptp.multiplicative_identity @t54)) % 0.52/0.71 (define @t206 () (tptp.add @t205 @t204)) % 0.52/0.71 (define @t207 () (= @t194 @t206)) % 0.52/0.71 (define @t208 () (not @t207)) % 0.52/0.71 (define @t209 () (= (tptp.multiply @t141 tptp.additive_identity) @t171)) % 0.52/0.71 (define @t210 () (not @t209)) % 0.52/0.71 (define @t211 () (tptp.multiply (tptp.add tptp.a @t60) (tptp.add tptp.a @t54))) % 0.52/0.71 (define @t212 () (tptp.add tptp.a @t194)) % 0.52/0.71 (define @t213 () (= @t212 @t211)) % 0.52/0.71 (define @t214 () (not @t213)) % 0.52/0.71 (define @t215 () (= @t65 @t133)) % 0.52/0.71 (define @t216 () (not @t215)) % 0.52/0.71 (define @t217 () (= @t66 @t142)) % 0.52/0.71 (define @t218 () (not @t217)) % 0.52/0.71 (define @t219 () (= @t65 @t147)) % 0.52/0.71 (define @t220 () (not @t219)) % 0.52/0.71 (define @t221 () (not @t64)) % 0.52/0.71 (define @t222 () (not @t58)) % 0.52/0.71 (define @t223 () (tptp.add @t53 tptp.additive_identity)) % 0.52/0.71 (define @t224 () (= @t53 @t223)) % 0.52/0.71 (define @t225 () (not @t224)) % 0.52/0.71 (define @t226 () (tptp.add @t53 @t101)) % 0.52/0.71 (define @t227 () (= @t226 @t69)) % 0.52/0.71 (define @t228 () (not @t227)) % 0.52/0.71 (define @t229 () (tptp.add tptp.multiplicative_identity @t101)) % 0.52/0.71 (define @t230 () (= @t229 @t194)) % 0.52/0.71 (define @t231 () (not @t230)) % 0.52/0.71 (define @t232 () (tptp.add @t53 @t52)) % 0.52/0.71 (define @t233 () (= @t232 (tptp.add @t52 @t53))) % 0.52/0.71 (define @t234 () (not @t233)) % 0.52/0.71 (define @t235 () (tptp.multiply @t51 tptp.multiplicative_identity)) % 0.52/0.71 (define @t236 () (= @t51 @t235)) % 0.52/0.71 (define @t237 () (not @t236)) % 0.52/0.71 (define @t238 () (tptp.multiply tptp.additive_identity tptp.multiplicative_identity)) % 0.52/0.71 (define @t239 () (= tptp.additive_identity @t238)) % 0.52/0.71 (define @t240 () (not @t239)) % 0.52/0.71 (define @t241 () (tptp.add tptp.additive_identity tptp.multiplicative_identity)) % 0.52/0.71 (define @t242 () (tptp.multiply @t241 tptp.additive_identity)) % 0.52/0.71 (define @t243 () (= @t242 @t232)) % 0.52/0.71 (define @t244 () (not @t243)) % 0.52/0.71 (define @t245 () (tptp.add @t51 tptp.multiplicative_identity)) % 0.52/0.71 (define @t246 () (tptp.add @t235 tptp.multiplicative_identity)) % 0.52/0.71 (define @t247 () (= @t246 (tptp.multiply @t245 @t40))) % 0.52/0.71 (define @t248 () (not @t247)) % 0.52/0.71 (define @t249 () (tptp.add tptp.multiplicative_identity tptp.additive_identity)) % 0.52/0.71 (define @t250 () (= tptp.multiplicative_identity @t249)) % 0.52/0.71 (define @t251 () (not @t250)) % 0.52/0.71 (define @t252 () (= tptp.multiplicative_identity @t38)) % 0.52/0.71 (define @t253 () (not @t252)) % 0.52/0.71 (define @t254 () (= tptp.additive_identity @t235)) % 0.52/0.71 (define @t255 () (not @t254)) % 0.52/0.71 (define @t256 () (= tptp.multiplicative_identity @t245)) % 0.52/0.71 (define @t257 () (not @t256)) % 0.52/0.71 (define @t258 () (not @t48)) % 0.52/0.71 (define @t259 () (not @t43)) % 0.52/0.71 (define @t260 () (tptp.add @t38 tptp.multiplicative_identity)) % 0.52/0.71 (define @t261 () (= @t260 @t41)) % 0.52/0.71 (define @t262 () (not @t261)) % 0.52/0.71 (define @t263 () (= @t52 @t238)) % 0.52/0.71 (define @t264 () (not @t263)) % 0.52/0.71 (define @t265 () (= @t249 @t241)) % 0.52/0.71 (define @t266 () (not @t265)) % 0.52/0.71 (define @t267 () (= @t31 @t101)) % 0.52/0.71 (define @t268 () (not @t267)) % 0.52/0.71 (define @t269 () (= @t30 @t105)) % 0.52/0.71 (define @t270 () (not @t269)) % 0.52/0.71 (define @t271 () (= @t29 @t141)) % 0.52/0.71 (define @t272 () (not @t271)) % 0.52/0.71 (define @t273 () (= @t28 @t98)) % 0.52/0.71 (define @t274 () (not @t273)) % 0.52/0.71 (define @t275 () (= tptp.additive_identity @t31)) % 0.52/0.71 (define @t276 () (not @t275)) % 0.52/0.71 (define @t277 () (= tptp.additive_identity @t30)) % 0.52/0.71 (define @t278 () (not @t277)) % 0.52/0.71 (define @t279 () (= tptp.multiplicative_identity @t29)) % 0.52/0.71 (define @t280 () (not @t279)) % 0.52/0.71 (define @t281 () (= tptp.multiplicative_identity @t28)) % 0.52/0.71 (define @t282 () (not @t281)) % 0.52/0.71 (define @t283 () (tptp.add tptp.additive_identity @t52)) % 0.52/0.71 (define @t284 () (tptp.multiply tptp.b @t40)) % 0.52/0.71 (define @t285 () (tptp.add @t66 tptp.c)) % 0.52/0.71 (define @t286 () (tptp.multiply tptp.additive_identity tptp.a)) % 0.52/0.71 (define @t287 () (tptp.add tptp.multiplicative_identity @t66)) % 0.52/0.71 (define @t288 () (tptp.multiply tptp.a @t53)) % 0.52/0.71 (define @t289 () (tptp.add @t54 @t54)) % 0.52/0.71 (define @t290 () (tptp.multiply tptp.c @t289)) % 0.52/0.71 (define @t291 () (tptp.multiply tptp.multiplicative_identity @t289)) % 0.52/0.71 (define @t292 () (tptp.multiply tptp.c tptp.multiplicative_identity)) % 0.52/0.71 (define @t293 () (tptp.add @t40 tptp.b)) % 0.52/0.71 (define @t294 () (and @t33 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t267 @t265 @t263 @t261 @t43 @t48 @t256 @t254 @t252 @t250 @t247 @t243 @t239 @t236 @t233 @t230 @t227 @t224 @t58 @t64 @t219 @t217 @t215 @t213 @t209 @t207 @t202 @t200 @t198 @t195 @t72 @t191 @t189 @t77 @t185 @t84 @t182 @t178 @t89 @t175 @t172 @t166 @t163 @t160 @t157 @t153 @t149 @t145 @t139 @t135 @t130 @t126 @t121 @t118 @t115 @t111 @t109 @t107)) % 0.52/0.71 (assume @p1 @t5) % 0.52/0.71 (assume @p2 @t7) % 0.52/0.71 (assume @p3 (forall @t11 (= (tptp.add @t6 @t8) (tptp.multiply @t10 @t9)))) % 0.52/0.71 (assume @p4 @t13) % 0.52/0.71 (assume @p5 (forall @t11 (= (tptp.multiply @t3 @t8) (tptp.add @t14 @t12)))) % 0.52/0.71 (assume @p6 @t15) % 0.52/0.71 (assume @p7 (forall @t17 (= (tptp.add @t1 @t16) tptp.multiplicative_identity))) % 0.52/0.71 (assume @p8 @t19) % 0.52/0.71 (assume @p9 (forall @t17 (= (tptp.multiply @t1 @t16) tptp.additive_identity))) % 0.52/0.71 (assume @p10 @t21) % 0.52/0.71 (assume @p11 @t23) % 0.52/0.71 (assume @p12 (forall @t17 (= (tptp.multiply tptp.multiplicative_identity @t1) @t1))) % 0.52/0.71 (assume @p13 @t25) % 0.52/0.71 (assume @p14 @t27) % 0.52/0.71 (assume @p15 (= @t28 tptp.multiplicative_identity)) % 0.52/0.71 (assume @p16 (= @t29 tptp.multiplicative_identity)) % 0.52/0.71 (assume @p17 (= @t30 tptp.additive_identity)) % 0.52/0.71 (assume @p18 (= @t31 tptp.additive_identity)) % 0.52/0.71 (assume @p19 @t33) % 0.52/0.71 (step @p20 :rule symm :premises (@p15)) % 0.52/0.71 (step @p21 :rule symm :premises (@p16)) % 0.52/0.71 (step @p22 :rule symm :premises (@p17)) % 0.52/0.71 (step @p23 :rule symm :premises (@p18)) % 0.52/0.71 (step @p24 :rule instantiate :premises (@p1) :args (@t34)) % 0.52/0.71 (step @p25 :rule instantiate :premises (@p1) :args (@t35)) % 0.52/0.71 (step @p26 :rule instantiate :premises (@p2) :args (@t34)) % 0.52/0.71 (step @p27 :rule instantiate :premises (@p2) :args (@t35)) % 0.52/0.71 (step @p28 :rule instantiate :premises (@p1) :args (@t36)) % 0.52/0.71 (step @p29 :rule instantiate :premises (@p2) :args (@t36)) % 0.52/0.71 (step @p30 :rule instantiate :premises (@p3) :args (@t37)) % 0.52/0.71 (step @p31 :rule eq-symm :args (@t39 @t41)) % 0.52/0.71 (step @p32 :rule refl :args (@t13)) % 0.52/0.71 (step @p33 :rule cong :premises (@p32 @p31) :args ((=> @t13 @t42))) % 0.52/0.71 (assume-push @p653 @t13) % 0.52/0.71 (step @p35 :rule instantiate :premises (@p4) :args (@t37)) % 0.52/0.71 (step-pop @p654 :rule scope :premises (@p35)) % 0.52/0.71 (step @p36 :rule process_scope :premises (@p654) :args (@t42)) % 0.52/0.71 (step @p38 :rule eq_resolve :premises (@p36 @p33)) % 0.52/0.71 (step @p39 :rule implies_elim :premises (@p38)) % 0.52/0.71 (step @p40 :rule chain_m_resolution :premises (@p39 @p4) :args (@t43 @t44 (@list @t13))) % 0.52/0.71 (step @p41 :rule eq-symm :args (@t45 @t46)) % 0.52/0.71 (step @p42 :rule refl :args (@t15)) % 0.52/0.71 (step @p43 :rule cong :premises (@p42 @p41) :args ((=> @t15 @t47))) % 0.52/0.71 (assume-push @p655 @t15) % 0.52/0.71 (step @p45 :rule instantiate :premises (@p6) :args (@t37)) % 0.52/0.71 (step-pop @p656 :rule scope :premises (@p45)) % 0.52/0.71 (step @p46 :rule process_scope :premises (@p656) :args (@t47)) % 0.52/0.71 (step @p48 :rule eq_resolve :premises (@p46 @p43)) % 0.52/0.71 (step @p49 :rule implies_elim :premises (@p48)) % 0.52/0.71 (step @p50 :rule chain_m_resolution :premises (@p49 @p6) :args (@t48 @t44 @t49)) % 0.52/0.71 (step @p51 :rule eq-symm :args (@t18 tptp.multiplicative_identity)) % 0.52/0.71 (step @p52 :rule cong :premises (@p51) :args (@t19)) % 0.52/0.71 (step @p53 :rule eq_resolve :premises (@p8 @p52)) % 0.52/0.71 (step @p54 :rule instantiate :premises (@p53) :args (@t50)) % 0.52/0.71 (step @p55 :rule eq-symm :args (@t20 tptp.additive_identity)) % 0.52/0.71 (step @p56 :rule cong :premises (@p55) :args (@t21)) % 0.52/0.71 (step @p57 :rule eq_resolve :premises (@p10 @p56)) % 0.52/0.71 (step @p58 :rule instantiate :premises (@p57) :args (@t50)) % 0.52/0.71 (step @p59 :rule eq-symm :args (@t22 @t1)) % 0.52/0.71 (step @p60 :rule cong :premises (@p59) :args (@t23)) % 0.52/0.71 (step @p61 :rule eq_resolve :premises (@p11 @p60)) % 0.52/0.71 (step @p62 :rule instantiate :premises (@p61) :args (@t50)) % 0.52/0.71 (step @p63 :rule eq-symm :args (@t24 @t1)) % 0.52/0.71 (step @p64 :rule cong :premises (@p63) :args (@t25)) % 0.52/0.71 (step @p65 :rule eq_resolve :premises (@p13 @p64)) % 0.52/0.71 (step @p66 :rule instantiate :premises (@p65) :args (@t50)) % 0.52/0.71 (step @p67 :rule instantiate :premises (@p3) :args ((@list @t51 tptp.multiplicative_identity tptp.multiplicative_identity))) % 0.52/0.71 (step @p68 :rule instantiate :premises (@p5) :args ((@list tptp.additive_identity tptp.multiplicative_identity tptp.additive_identity))) % 0.52/0.71 (step @p69 :rule instantiate :premises (@p61) :args ((@list tptp.additive_identity))) % 0.52/0.71 (step @p70 :rule instantiate :premises (@p61) :args ((@list @t51))) % 0.52/0.71 (step @p71 :rule instantiate :premises (@p1) :args ((@list @t53 @t52))) % 0.52/0.71 (step @p72 :rule instantiate :premises (@p4) :args ((@list tptp.multiplicative_identity tptp.c tptp.a))) % 0.52/0.71 (step @p73 :rule instantiate :premises (@p4) :args ((@list @t53 tptp.c tptp.a))) % 0.52/0.71 (step @p74 :rule instantiate :premises (@p65) :args ((@list @t53))) % 0.52/0.71 (step @p75 :rule eq-symm :args (@t54 @t55)) % 0.52/0.71 (step @p76 :rule refl :args (@t5)) % 0.52/0.71 (step @p77 :rule cong :premises (@p76 @p75) :args ((=> @t5 @t56))) % 0.52/0.71 (assume-push @p657 @t5) % 0.52/0.71 (step @p79 :rule instantiate :premises (@p1) :args (@t57)) % 0.52/0.71 (step-pop @p658 :rule scope :premises (@p79)) % 0.52/0.71 (step @p80 :rule process_scope :premises (@p658) :args (@t56)) % 0.52/0.71 (step @p82 :rule eq_resolve :premises (@p80 @p77)) % 0.52/0.71 (step @p83 :rule implies_elim :premises (@p82)) % 0.52/0.71 (step @p84 :rule chain_m_resolution :premises (@p83 @p1) :args (@t58 @t44 @t59)) % 0.52/0.71 (step @p85 :rule eq-symm :args (@t60 @t61)) % 0.52/0.71 (step @p86 :rule cong :premises (@p76 @p85) :args ((=> @t5 @t62))) % 0.52/0.71 (assume-push @p659 @t5) % 0.52/0.71 (step @p88 :rule instantiate :premises (@p1) :args (@t63)) % 0.52/0.71 (step-pop @p660 :rule scope :premises (@p88)) % 0.52/0.71 (step @p89 :rule process_scope :premises (@p660) :args (@t62)) % 0.52/0.71 (step @p91 :rule eq_resolve :premises (@p89 @p86)) % 0.52/0.71 (step @p92 :rule implies_elim :premises (@p91)) % 0.52/0.71 (step @p93 :rule chain_m_resolution :premises (@p92 @p1) :args (@t64 @t44 @t59)) % 0.52/0.71 (step @p94 :rule instantiate :premises (@p1) :args ((@list @t53 tptp.a))) % 0.52/0.71 (step @p95 :rule instantiate :premises (@p1) :args ((@list @t53 tptp.c))) % 0.52/0.71 (step @p96 :rule instantiate :premises (@p3) :args ((@list tptp.additive_identity tptp.additive_identity tptp.a))) % 0.52/0.71 (step @p97 :rule instantiate :premises (@p4) :args ((@list tptp.a @t60 @t54))) % 0.52/0.71 (step @p98 :rule instantiate :premises (@p5) :args ((@list tptp.c tptp.a tptp.additive_identity))) % 0.52/0.71 (step @p99 :rule instantiate :premises (@p5) :args ((@list tptp.multiplicative_identity tptp.c @t54))) % 0.52/0.71 (step @p100 :rule instantiate :premises (@p5) :args ((@list @t53 tptp.c @t65))) % 0.52/0.71 (step @p101 :rule instantiate :premises (@p5) :args ((@list @t66 @t66 @t65))) % 0.52/0.71 (step @p102 :rule instantiate :premises (@p6) :args ((@list @t40 tptp.c tptp.a))) % 0.52/0.71 (step @p103 :rule instantiate :premises (@p6) :args ((@list @t60 tptp.multiplicative_identity tptp.a))) % 0.52/0.71 (step @p104 :rule eq-symm :args (@t68 @t70)) % 0.52/0.71 (step @p105 :rule cong :premises (@p42 @p104) :args ((=> @t15 @t71))) % 0.52/0.71 (assume-push @p661 @t15) % 0.52/0.71 (step @p107 :rule instantiate :premises (@p6) :args ((@list @t66 @t65 @t65))) % 0.52/0.71 (step-pop @p662 :rule scope :premises (@p107)) % 0.52/0.71 (step @p108 :rule process_scope :premises (@p662) :args (@t71)) % 0.52/0.71 (step @p110 :rule eq_resolve :premises (@p108 @p105)) % 0.52/0.71 (step @p111 :rule implies_elim :premises (@p110)) % 0.52/0.71 (step @p112 :rule chain_m_resolution :premises (@p111 @p6) :args (@t72 @t44 @t49)) % 0.52/0.71 (step @p113 :rule eq-symm :args (@t26 @t1)) % 0.52/0.71 (step @p114 :rule cong :premises (@p113) :args (@t27)) % 0.52/0.71 (step @p115 :rule eq_resolve :premises (@p14 @p114)) % 0.52/0.71 (step @p116 :rule instantiate :premises (@p115) :args ((@list tptp.a))) % 0.52/0.71 (step @p117 :rule instantiate :premises (@p115) :args ((@list tptp.c))) % 0.52/0.71 (step @p118 :rule eq-symm :args (@t73 @t74)) % 0.52/0.71 (step @p119 :rule cong :premises (@p76 @p118) :args ((=> @t5 @t75))) % 0.52/0.71 (assume-push @p663 @t5) % 0.52/0.71 (step @p121 :rule instantiate :premises (@p1) :args (@t76)) % 0.52/0.71 (step-pop @p664 :rule scope :premises (@p121)) % 0.52/0.71 (step @p122 :rule process_scope :premises (@p664) :args (@t75)) % 0.52/0.71 (step @p124 :rule eq_resolve :premises (@p122 @p119)) % 0.52/0.71 (step @p125 :rule implies_elim :premises (@p124)) % 0.52/0.71 (step @p126 :rule chain_m_resolution :premises (@p125 @p1) :args (@t77 @t44 @t59)) % 0.52/0.71 (step @p127 :rule instantiate :premises (@p1) :args ((@list @t79 @t78))) % 0.52/0.71 (step @p128 :rule eq-symm :args (@t80 @t81)) % 0.52/0.71 (step @p129 :rule refl :args (@t7)) % 0.52/0.71 (step @p130 :rule cong :premises (@p129 @p128) :args ((=> @t7 @t82))) % 0.52/0.71 (assume-push @p665 @t7) % 0.52/0.71 (step @p132 :rule instantiate :premises (@p2) :args (@t83)) % 0.52/0.71 (step-pop @p666 :rule scope :premises (@p132)) % 0.52/0.71 (step @p133 :rule process_scope :premises (@p666) :args (@t82)) % 0.52/0.71 (step @p135 :rule eq_resolve :premises (@p133 @p130)) % 0.52/0.71 (step @p136 :rule implies_elim :premises (@p135)) % 0.52/0.71 (step @p137 :rule chain_m_resolution :premises (@p136 @p2) :args (@t84 @t44 @t85)) % 0.52/0.71 (step @p138 :rule instantiate :premises (@p2) :args ((@list tptp.multiplicative_identity @t55))) % 0.52/0.71 (step @p139 :rule instantiate :premises (@p2) :args ((@list @t53 @t65))) % 0.52/0.71 (step @p140 :rule eq-symm :args (@t86 @t87)) % 0.52/0.71 (step @p141 :rule cong :premises (@p129 @p140) :args ((=> @t7 @t88))) % 0.52/0.71 (assume-push @p667 @t7) % 0.52/0.71 (step @p143 :rule instantiate :premises (@p2) :args ((@list tptp.additive_identity tptp.c))) % 0.52/0.71 (step-pop @p668 :rule scope :premises (@p143)) % 0.52/0.71 (step @p144 :rule process_scope :premises (@p668) :args (@t88)) % 0.52/0.71 (step @p146 :rule eq_resolve :premises (@p144 @p141)) % 0.52/0.71 (step @p147 :rule implies_elim :premises (@p146)) % 0.52/0.71 (step @p148 :rule chain_m_resolution :premises (@p147 @p2) :args (@t89 @t44 @t85)) % 0.52/0.71 (step @p149 :rule instantiate :premises (@p2) :args ((@list @t61 tptp.a))) % 0.52/0.71 (step @p150 :rule instantiate :premises (@p3) :args ((@list tptp.c tptp.additive_identity @t90))) % 0.52/0.71 (step @p151 :rule instantiate :premises (@p3) :args ((@list @t53 @t65 @t78))) % 0.52/0.71 (step @p152 :rule instantiate :premises (@p3) :args ((@list @t40 tptp.c @t80))) % 0.52/0.71 (step @p153 :rule instantiate :premises (@p3) :args ((@list tptp.multiplicative_identity tptp.a tptp.multiplicative_identity))) % 0.52/0.71 (step @p154 :rule instantiate :premises (@p3) :args ((@list tptp.multiplicative_identity tptp.a tptp.c))) % 0.52/0.71 (step @p155 :rule instantiate :premises (@p4) :args ((@list tptp.c @t66 @t67))) % 0.52/0.71 (step @p156 :rule instantiate :premises (@p4) :args ((@list tptp.a @t53 tptp.c))) % 0.52/0.71 (step @p157 :rule instantiate :premises (@p4) :args ((@list tptp.c @t53 tptp.a))) % 0.52/0.71 (step @p158 :rule instantiate :premises (@p5) :args ((@list @t92 @t91 tptp.a))) % 0.52/0.71 (step @p159 :rule instantiate :premises (@p5) :args ((@list @t93 @t94 @t93))) % 0.52/0.71 (step @p160 :rule instantiate :premises (@p3) :args ((@list @t95 @t93 tptp.b))) % 0.52/0.71 (step @p161 :rule instantiate :premises (@p3) :args ((@list tptp.c @t40 @t66))) % 0.52/0.71 (step @p162 :rule instantiate :premises (@p1) :args 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% 0.52/0.71 (step-pop @p800 :rule scope :premises (@p799)) % 0.52/0.71 (step @p581 :rule process_scope :premises (@p800) :args (@t104)) % 0.52/0.71 (step @p648 :rule implies_elim :premises (@p581)) % 0.52/0.71 (step @p649 :rule cnf_and_neg :args (@t294)) % 0.52/0.71 (step @p650 :rule resolution :premises (@p649 @p648) :args (true @t294)) % 0.52/0.71 (step @p651 :rule eq_resolve :premises (@p650 @p236)) % 0.52/0.71 (step @p652 false :rule chain_m_resolution :premises (@p651 @p168 @p167 @p166 @p165 @p164 @p163 @p162 @p161 @p160 @p159 @p158 @p157 @p156 @p155 @p154 @p153 @p152 @p151 @p150 @p149 @p148 @p139 @p138 @p137 @p127 @p126 @p117 @p116 @p112 @p103 @p102 @p101 @p100 @p99 @p98 @p97 @p96 @p95 @p94 @p93 @p84 @p74 @p73 @p72 @p71 @p70 @p69 @p68 @p67 @p66 @p62 @p58 @p54 @p50 @p40 @p30 @p29 @p28 @p27 @p26 @p25 @p24 @p19 @p23 @p22 @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 false false false false true false false false false) (@list @t103 @t107 @t109 @t111 @t115 @t118 @t121 @t126 @t130 @t135 @t139 @t145 @t149 @t153 @t157 @t160 @t163 @t166 @t172 @t175 @t89 @t178 @t182 @t84 @t185 @t77 @t189 @t191 @t72 @t195 @t198 @t200 @t202 @t207 @t209 @t213 @t215 @t217 @t219 @t64 @t58 @t224 @t227 @t230 @t233 @t236 @t239 @t243 @t247 @t250 @t252 @t254 @t256 @t48 @t43 @t261 @t263 @t265 @t267 @t269 @t271 @t273 @t32 @t275 @t277 @t279 @t281))) % 0.52/0.71 ) % 0.52/0.71 % SZS output end Proof % 0.52/0.71 % cvc5 exiting %------------------------------------------------------------------------------