%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : BOO005-2 : TPTP v9.2.1. Bugfixed v1.2.1. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n028.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 08:08:59 AM UTC 2026 % Result : Unsatisfiable 0.64s 0.84s % Output : Proof 0.64s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : BOO005-2 : TPTP v9.2.1. Bugfixed v1.2.1. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n028.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Wed Jun 3 02:35:20 EDT 2026 % 0.19/0.35 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.64/0.84 % SZS status Unsatisfiable % 0.64/0.84 % SZS output start Proof % 0.64/0.86 ( % 0.64/0.86 (declare-sort $$unsorted 0) % 0.64/0.86 (declare-const tptp.a $$unsorted) % 0.64/0.86 (declare-const tptp.additive_identity $$unsorted) % 0.64/0.86 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.64/0.86 (declare-const tptp.multiplicative_identity $$unsorted) % 0.64/0.86 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.64/0.86 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 0.64/0.86 (define @t1 () (@var "X" $$unsorted)) % 0.64/0.86 (define @t2 () (@var "Y" $$unsorted)) % 0.64/0.86 (define @t3 () (tptp.add @t1 @t2)) % 0.64/0.86 (define @t4 () (@list @t1 @t2)) % 0.64/0.86 (define @t5 () (tptp.multiply @t1 @t2)) % 0.64/0.86 (define @t6 () (forall @t4 (= @t5 (tptp.multiply @t2 @t1)))) % 0.64/0.86 (define @t7 () (@var "Z" $$unsorted)) % 0.64/0.86 (define @t8 () (tptp.add @t2 @t7)) % 0.64/0.86 (define @t9 () (tptp.add @t1 @t7)) % 0.64/0.86 (define @t10 () (@list @t1 @t2 @t7)) % 0.64/0.86 (define @t11 () (tptp.multiply @t2 @t7)) % 0.64/0.86 (define @t12 () (forall @t10 (= (tptp.add @t1 @t11) (tptp.multiply @t3 @t9)))) % 0.64/0.86 (define @t13 () (tptp.multiply @t1 @t7)) % 0.64/0.86 (define @t14 () (forall @t10 (= (tptp.multiply @t3 @t7) (tptp.add @t13 @t11)))) % 0.64/0.86 (define @t15 () (forall @t10 (= (tptp.multiply @t1 @t8) (tptp.add @t5 @t13)))) % 0.64/0.86 (define @t16 () (tptp.inverse @t1)) % 0.64/0.86 (define @t17 () (@list @t1)) % 0.64/0.86 (define @t18 () (tptp.add @t16 @t1)) % 0.64/0.86 (define @t19 () (forall @t17 (= @t18 tptp.multiplicative_identity))) % 0.64/0.86 (define @t20 () (tptp.multiply @t16 @t1)) % 0.64/0.86 (define @t21 () (forall @t17 (= @t20 tptp.additive_identity))) % 0.64/0.86 (define @t22 () (tptp.multiply @t1 tptp.multiplicative_identity)) % 0.64/0.86 (define @t23 () (forall @t17 (= @t22 @t1))) % 0.64/0.86 (define @t24 () (tptp.add @t1 tptp.additive_identity)) % 0.64/0.86 (define @t25 () (forall @t17 (= @t24 @t1))) % 0.64/0.86 (define @t26 () (tptp.add tptp.a tptp.multiplicative_identity)) % 0.64/0.86 (define @t27 () (@list tptp.a tptp.multiplicative_identity)) % 0.64/0.86 (define @t28 () (@list tptp.multiplicative_identity tptp.additive_identity)) % 0.64/0.86 (define @t29 () (@list tptp.multiplicative_identity tptp.multiplicative_identity tptp.multiplicative_identity)) % 0.64/0.86 (define @t30 () (tptp.multiply tptp.multiplicative_identity tptp.multiplicative_identity)) % 0.64/0.86 (define @t31 () (tptp.add tptp.multiplicative_identity @t30)) % 0.64/0.86 (define @t32 () (tptp.add tptp.multiplicative_identity tptp.multiplicative_identity)) % 0.64/0.86 (define @t33 () (tptp.multiply @t32 @t32)) % 0.64/0.86 (define @t34 () (= @t31 @t33)) % 0.64/0.86 (define @t35 () (= @t33 @t31)) % 0.64/0.86 (define @t36 () (@list false)) % 0.64/0.86 (define @t37 () (@list @t12)) % 0.64/0.86 (define @t38 () (tptp.multiply tptp.multiplicative_identity @t32)) % 0.64/0.86 (define @t39 () (tptp.add @t30 @t30)) % 0.64/0.86 (define @t40 () (= @t38 @t39)) % 0.64/0.86 (define @t41 () (= @t39 @t38)) % 0.64/0.86 (define @t42 () (@list @t15)) % 0.64/0.86 (define @t43 () (@list tptp.multiplicative_identity)) % 0.64/0.86 (define @t44 () (@list tptp.multiplicative_identity tptp.multiplicative_identity tptp.a)) % 0.64/0.86 (define @t45 () (tptp.inverse tptp.multiplicative_identity)) % 0.64/0.86 (define @t46 () (tptp.multiply tptp.a tptp.a)) % 0.64/0.86 (define @t47 () (tptp.add tptp.multiplicative_identity @t46)) % 0.64/0.86 (define @t48 () (tptp.add tptp.multiplicative_identity tptp.a)) % 0.64/0.86 (define @t49 () (tptp.multiply @t48 @t48)) % 0.64/0.86 (define @t50 () (= @t47 @t49)) % 0.64/0.86 (define @t51 () (= @t49 @t47)) % 0.64/0.86 (define @t52 () (@list @t48 tptp.a tptp.multiplicative_identity)) % 0.64/0.86 (define @t53 () (tptp.multiply @t48 tptp.multiplicative_identity)) % 0.64/0.86 (define @t54 () (tptp.multiply tptp.multiplicative_identity @t48)) % 0.64/0.86 (define @t55 () (= @t53 @t54)) % 0.64/0.86 (define @t56 () (@list @t48 tptp.multiplicative_identity)) % 0.64/0.86 (define @t57 () (= @t54 @t53)) % 0.64/0.86 (define @t58 () (@list @t6)) % 0.64/0.86 (define @t59 () (@list @t48 tptp.additive_identity tptp.multiplicative_identity)) % 0.64/0.86 (define @t60 () (tptp.multiply tptp.a tptp.additive_identity)) % 0.64/0.86 (define @t61 () (tptp.multiply tptp.additive_identity tptp.a)) % 0.64/0.86 (define @t62 () (= @t60 @t61)) % 0.64/0.86 (define @t63 () (@list tptp.a tptp.additive_identity)) % 0.64/0.86 (define @t64 () (= @t61 @t60)) % 0.64/0.86 (define @t65 () (tptp.multiply @t48 tptp.additive_identity)) % 0.64/0.86 (define @t66 () (tptp.multiply tptp.additive_identity @t48)) % 0.64/0.86 (define @t67 () (= @t65 @t66)) % 0.64/0.86 (define @t68 () (@list @t48 tptp.additive_identity)) % 0.64/0.86 (define @t69 () (= @t66 @t65)) % 0.64/0.86 (define @t70 () (tptp.multiply tptp.multiplicative_identity tptp.a)) % 0.64/0.86 (define @t71 () (tptp.multiply @t48 @t32)) % 0.64/0.86 (define @t72 () (tptp.add @t53 @t53)) % 0.64/0.86 (define @t73 () (= @t71 @t72)) % 0.64/0.86 (define @t74 () (@list @t48 tptp.multiplicative_identity tptp.multiplicative_identity)) % 0.64/0.86 (define @t75 () (= @t72 @t71)) % 0.64/0.86 (define @t76 () (tptp.add tptp.multiplicative_identity @t54)) % 0.64/0.86 (define @t77 () (tptp.add @t48 @t54)) % 0.64/0.86 (define @t78 () (tptp.multiply @t32 tptp.a)) % 0.64/0.86 (define @t79 () (tptp.add @t70 @t70)) % 0.64/0.86 (define @t80 () (= @t78 @t79)) % 0.64/0.86 (define @t81 () (= @t79 @t78)) % 0.64/0.86 (define @t82 () (tptp.inverse @t54)) % 0.64/0.86 (define @t83 () (tptp.multiply tptp.multiplicative_identity @t54)) % 0.64/0.86 (define @t84 () (tptp.multiply @t82 @t54)) % 0.64/0.86 (define @t85 () (tptp.add @t84 @t83)) % 0.64/0.86 (define @t86 () (tptp.add @t82 tptp.multiplicative_identity)) % 0.64/0.86 (define @t87 () (tptp.multiply @t86 @t54)) % 0.64/0.86 (define @t88 () (= @t87 @t85)) % 0.64/0.86 (define @t89 () (not @t88)) % 0.64/0.86 (define @t90 () (tptp.add @t84 tptp.multiplicative_identity)) % 0.64/0.86 (define @t91 () (= @t90 (tptp.multiply @t86 (tptp.add @t54 tptp.multiplicative_identity)))) % 0.64/0.86 (define @t92 () (not @t91)) % 0.64/0.86 (define @t93 () (= tptp.additive_identity @t84)) % 0.64/0.86 (define @t94 () (not @t93)) % 0.64/0.86 (define @t95 () (tptp.add @t60 tptp.additive_identity)) % 0.64/0.86 (define @t96 () (= @t60 @t95)) % 0.64/0.86 (define @t97 () (not @t96)) % 0.64/0.86 (define @t98 () (not @t81)) % 0.64/0.86 (define @t99 () (tptp.add @t33 @t71)) % 0.64/0.86 (define @t100 () (= (tptp.multiply (tptp.add @t32 @t48) @t32) @t99)) % 0.64/0.86 (define @t101 () (not @t100)) % 0.64/0.86 (define @t102 () (tptp.add @t61 tptp.multiplicative_identity)) % 0.64/0.86 (define @t103 () (tptp.add @t61 @t70)) % 0.64/0.86 (define @t104 () (= @t103 (tptp.multiply @t102 (tptp.add @t61 tptp.a)))) % 0.64/0.86 (define @t105 () (not @t104)) % 0.64/0.86 (define @t106 () (tptp.add tptp.additive_identity tptp.multiplicative_identity)) % 0.64/0.86 (define @t107 () (tptp.add @t48 tptp.multiplicative_identity)) % 0.64/0.86 (define @t108 () (tptp.multiply @t107 @t106)) % 0.64/0.86 (define @t109 () (= (tptp.add @t65 tptp.multiplicative_identity) @t108)) % 0.64/0.86 (define @t110 () (not @t109)) % 0.64/0.86 (define @t111 () (tptp.add tptp.additive_identity @t54)) % 0.64/0.86 (define @t112 () (tptp.multiply @t76 @t111)) % 0.64/0.86 (define @t113 () (tptp.multiply tptp.multiplicative_identity tptp.additive_identity)) % 0.64/0.86 (define @t114 () (= (tptp.add @t113 @t54) @t112)) % 0.64/0.86 (define @t115 () (not @t114)) % 0.64/0.86 (define @t116 () (tptp.multiply @t77 @t76)) % 0.64/0.86 (define @t117 () (= @t116 (tptp.multiply @t76 @t77))) % 0.64/0.86 (define @t118 () (not @t117)) % 0.64/0.86 (define @t119 () (tptp.add @t66 tptp.multiplicative_identity)) % 0.64/0.86 (define @t120 () (= @t119 (tptp.add tptp.multiplicative_identity @t66))) % 0.64/0.86 (define @t121 () (not @t120)) % 0.64/0.86 (define @t122 () (= @t103 (tptp.add @t70 @t61))) % 0.64/0.86 (define @t123 () (not @t122)) % 0.64/0.86 (define @t124 () (= @t107 (tptp.add tptp.multiplicative_identity @t48))) % 0.64/0.86 (define @t125 () (not @t124)) % 0.64/0.86 (define @t126 () (tptp.multiply tptp.a tptp.multiplicative_identity)) % 0.64/0.86 (define @t127 () (= tptp.a @t126)) % 0.64/0.86 (define @t128 () (not @t127)) % 0.64/0.86 (define @t129 () (not @t75)) % 0.64/0.86 (define @t130 () (tptp.multiply @t26 tptp.additive_identity)) % 0.64/0.86 (define @t131 () (= @t130 (tptp.add @t60 @t113))) % 0.64/0.86 (define @t132 () (not @t131)) % 0.64/0.86 (define @t133 () (tptp.multiply @t106 tptp.a)) % 0.64/0.86 (define @t134 () (= @t133 @t103)) % 0.64/0.86 (define @t135 () (not @t134)) % 0.64/0.86 (define @t136 () (tptp.add tptp.a @t48)) % 0.64/0.86 (define @t137 () (tptp.multiply @t136 @t26)) % 0.64/0.86 (define @t138 () (tptp.add tptp.a @t53)) % 0.64/0.86 (define @t139 () (= @t138 @t137)) % 0.64/0.86 (define @t140 () (not @t139)) % 0.64/0.86 (define @t141 () (tptp.add @t48 @t53)) % 0.64/0.86 (define @t142 () (tptp.add @t65 @t53)) % 0.64/0.86 (define @t143 () (= @t142 (tptp.multiply @t141 (tptp.add tptp.additive_identity @t53)))) % 0.64/0.86 (define @t144 () (not @t143)) % 0.64/0.86 (define @t145 () (tptp.add tptp.a @t70)) % 0.64/0.86 (define @t146 () (tptp.add @t46 @t70)) % 0.64/0.86 (define @t147 () (= @t146 (tptp.multiply @t145 @t145))) % 0.64/0.86 (define @t148 () (not @t147)) % 0.64/0.86 (define @t149 () (tptp.multiply @t107 @t26)) % 0.64/0.86 (define @t150 () (tptp.multiply @t48 tptp.a)) % 0.64/0.86 (define @t151 () (= (tptp.add @t150 tptp.multiplicative_identity) @t149)) % 0.64/0.86 (define @t152 () (not @t151)) % 0.64/0.86 (define @t153 () (tptp.add @t53 @t54)) % 0.64/0.86 (define @t154 () (= @t153 @t116)) % 0.64/0.86 (define @t155 () (not @t154)) % 0.64/0.86 (define @t156 () (tptp.multiply @t46 tptp.additive_identity)) % 0.64/0.86 (define @t157 () (tptp.multiply tptp.additive_identity @t46)) % 0.64/0.86 (define @t158 () (= @t157 @t156)) % 0.64/0.86 (define @t159 () (not @t158)) % 0.64/0.86 (define @t160 () (not @t69)) % 0.64/0.86 (define @t161 () (= @t126 @t70)) % 0.64/0.86 (define @t162 () (not @t161)) % 0.64/0.86 (define @t163 () (not @t64)) % 0.64/0.86 (define @t164 () (= @t48 @t53)) % 0.64/0.86 (define @t165 () (not @t164)) % 0.64/0.86 (define @t166 () (tptp.multiply @t48 @t106)) % 0.64/0.86 (define @t167 () (= @t166 @t142)) % 0.64/0.86 (define @t168 () (not @t167)) % 0.64/0.86 (define @t169 () (tptp.multiply @t26 tptp.a)) % 0.64/0.86 (define @t170 () (= @t169 @t146)) % 0.64/0.86 (define @t171 () (not @t170)) % 0.64/0.86 (define @t172 () (tptp.add tptp.multiplicative_identity tptp.additive_identity)) % 0.64/0.86 (define @t173 () (tptp.add tptp.multiplicative_identity @t156)) % 0.64/0.86 (define @t174 () (= @t173 (tptp.multiply @t47 @t172))) % 0.64/0.86 (define @t175 () (not @t174)) % 0.64/0.86 (define @t176 () (= @t102 (tptp.multiply @t106 @t26))) % 0.64/0.86 (define @t177 () (not @t176)) % 0.64/0.86 (define @t178 () (tptp.add tptp.a @t54)) % 0.64/0.86 (define @t179 () (tptp.multiply tptp.a @t48)) % 0.64/0.86 (define @t180 () (tptp.add @t179 @t54)) % 0.64/0.86 (define @t181 () (= @t180 (tptp.multiply @t178 @t77))) % 0.64/0.86 (define @t182 () (not @t181)) % 0.64/0.86 (define @t183 () (not @t57)) % 0.64/0.86 (define @t184 () (= @t179 @t150)) % 0.64/0.86 (define @t185 () (not @t184)) % 0.64/0.86 (define @t186 () (tptp.multiply @t48 @t26)) % 0.64/0.86 (define @t187 () (= @t186 (tptp.add @t150 @t53))) % 0.64/0.86 (define @t188 () (not @t187)) % 0.64/0.86 (define @t189 () (tptp.multiply @t26 @t48)) % 0.64/0.86 (define @t190 () (= @t189 @t180)) % 0.64/0.86 (define @t191 () (not @t190)) % 0.64/0.86 (define @t192 () (not @t51)) % 0.64/0.86 (define @t193 () (tptp.multiply tptp.additive_identity tptp.multiplicative_identity)) % 0.64/0.86 (define @t194 () (= tptp.additive_identity @t193)) % 0.64/0.86 (define @t195 () (not @t194)) % 0.64/0.86 (define @t196 () (tptp.add (tptp.multiply tptp.additive_identity tptp.additive_identity) @t113)) % 0.64/0.86 (define @t197 () (tptp.multiply @t106 tptp.additive_identity)) % 0.64/0.86 (define @t198 () (= @t197 @t196)) % 0.64/0.86 (define @t199 () (not @t198)) % 0.64/0.86 (define @t200 () (tptp.multiply @t32 @t106)) % 0.64/0.86 (define @t201 () (= (tptp.add @t113 tptp.multiplicative_identity) @t200)) % 0.64/0.86 (define @t202 () (not @t201)) % 0.64/0.86 (define @t203 () (tptp.add @t45 tptp.multiplicative_identity)) % 0.64/0.86 (define @t204 () (tptp.multiply @t45 tptp.multiplicative_identity)) % 0.64/0.86 (define @t205 () (tptp.add @t204 tptp.multiplicative_identity)) % 0.64/0.86 (define @t206 () (= @t205 (tptp.multiply @t203 @t32))) % 0.64/0.86 (define @t207 () (not @t206)) % 0.64/0.86 (define @t208 () (tptp.add @t30 tptp.a)) % 0.64/0.86 (define @t209 () (= @t208 @t49)) % 0.64/0.86 (define @t210 () (not @t209)) % 0.64/0.86 (define @t211 () (= tptp.multiplicative_identity @t172)) % 0.64/0.86 (define @t212 () (not @t211)) % 0.64/0.86 (define @t213 () (= tptp.multiplicative_identity @t30)) % 0.64/0.86 (define @t214 () (not @t213)) % 0.64/0.86 (define @t215 () (= tptp.additive_identity @t204)) % 0.64/0.86 (define @t216 () (not @t215)) % 0.64/0.86 (define @t217 () (= tptp.multiplicative_identity @t203)) % 0.64/0.86 (define @t218 () (not @t217)) % 0.64/0.86 (define @t219 () (not @t41)) % 0.64/0.86 (define @t220 () (= (tptp.multiply @t32 tptp.multiplicative_identity) @t39)) % 0.64/0.86 (define @t221 () (not @t220)) % 0.64/0.86 (define @t222 () (not @t35)) % 0.64/0.86 (define @t223 () (tptp.add @t30 tptp.multiplicative_identity)) % 0.64/0.86 (define @t224 () (= @t223 @t33)) % 0.64/0.86 (define @t225 () (not @t224)) % 0.64/0.86 (define @t226 () (= @t113 @t193)) % 0.64/0.86 (define @t227 () (not @t226)) % 0.64/0.86 (define @t228 () (= @t172 @t106)) % 0.64/0.86 (define @t229 () (not @t228)) % 0.64/0.86 (define @t230 () (= @t26 @t48)) % 0.64/0.86 (define @t231 () (not @t230)) % 0.64/0.86 (define @t232 () (= tptp.multiplicative_identity @t26)) % 0.64/0.86 (define @t233 () (not @t232)) % 0.64/0.86 (define @t234 () (tptp.add @t48 @t48)) % 0.64/0.86 (define @t235 () (tptp.add @t179 tptp.multiplicative_identity)) % 0.64/0.86 (define @t236 () (tptp.add tptp.additive_identity @t235)) % 0.64/0.86 (define @t237 () (tptp.add @t150 @t48)) % 0.64/0.86 (define @t238 () (tptp.add tptp.a @t126)) % 0.64/0.86 (define @t239 () (tptp.multiply @t113 tptp.a)) % 0.64/0.86 (define @t240 () (tptp.add tptp.multiplicative_identity @t235)) % 0.64/0.86 (define @t241 () (and @t233 @t230 @t228 @t226 @t224 @t35 @t220 @t41 @t217 @t215 @t213 @t211 @t209 @t206 @t201 @t198 @t194 @t51 @t190 @t187 @t184 @t57 @t181 @t176 @t174 @t170 @t167 @t164 @t64 @t161 @t69 @t158 @t154 @t151 @t147 @t143 @t139 @t134 @t131 @t75 @t127 @t124 @t122 @t120 @t117 @t114 @t109 @t104 @t100 @t81 @t96 @t93 @t91)) % 0.64/0.86 (assume @p1 (forall @t4 (= @t3 (tptp.add @t2 @t1)))) % 0.64/0.86 (assume @p2 @t6) % 0.64/0.86 (assume @p3 (forall @t10 (= (tptp.add @t5 @t7) (tptp.multiply @t9 @t8)))) % 0.64/0.86 (assume @p4 @t12) % 0.64/0.86 (assume @p5 @t14) % 0.64/0.86 (assume @p6 @t15) % 0.64/0.86 (assume @p7 (forall @t17 (= (tptp.add @t1 @t16) tptp.multiplicative_identity))) % 0.64/0.86 (assume @p8 @t19) % 0.64/0.86 (assume @p9 (forall @t17 (= (tptp.multiply @t1 @t16) tptp.additive_identity))) % 0.64/0.86 (assume @p10 @t21) % 0.64/0.86 (assume @p11 @t23) % 0.64/0.86 (assume @p12 (forall @t17 (= (tptp.multiply tptp.multiplicative_identity @t1) @t1))) % 0.64/0.86 (assume @p13 @t25) % 0.64/0.86 (assume @p14 (forall @t17 (= (tptp.add tptp.additive_identity @t1) @t1))) % 0.64/0.86 (assume @p15 (not (= @t26 tptp.multiplicative_identity))) % 0.64/0.86 (step @p16 :rule symm :premises (@p15)) % 0.64/0.86 (step @p17 :rule instantiate :premises (@p1) :args (@t27)) % 0.64/0.86 (step @p18 :rule instantiate :premises (@p1) :args (@t28)) % 0.64/0.86 (step @p19 :rule instantiate :premises (@p2) :args (@t28)) % 0.64/0.86 (step @p20 :rule instantiate :premises (@p3) :args (@t29)) % 0.64/0.86 (step @p21 :rule eq-symm :args (@t31 @t33)) % 0.64/0.86 (step @p22 :rule refl :args (@t12)) % 0.64/0.86 (step @p23 :rule cong :premises (@p22 @p21) :args ((=> @t12 @t34))) % 0.64/0.86 (assume-push @p525 @t12) % 0.64/0.86 (step @p25 :rule instantiate :premises (@p4) :args (@t29)) % 0.64/0.86 (step-pop @p526 :rule scope :premises (@p25)) % 0.64/0.86 (step @p26 :rule process_scope :premises (@p526) :args (@t34)) % 0.64/0.86 (step @p28 :rule eq_resolve :premises (@p26 @p23)) % 0.64/0.86 (step @p29 :rule implies_elim :premises (@p28)) % 0.64/0.86 (step @p30 :rule chain_m_resolution :premises (@p29 @p4) :args (@t35 @t36 @t37)) % 0.64/0.86 (step @p31 :rule instantiate :premises (@p5) :args (@t29)) % 0.64/0.86 (step @p32 :rule eq-symm :args (@t38 @t39)) % 0.64/0.86 (step @p33 :rule refl :args (@t15)) % 0.64/0.86 (step @p34 :rule cong :premises (@p33 @p32) :args ((=> @t15 @t40))) % 0.64/0.86 (assume-push @p527 @t15) % 0.64/0.86 (step @p36 :rule instantiate :premises (@p6) :args (@t29)) % 0.64/0.86 (step-pop @p528 :rule scope :premises (@p36)) % 0.64/0.86 (step @p37 :rule process_scope :premises (@p528) :args (@t40)) % 0.64/0.86 (step @p39 :rule eq_resolve :premises (@p37 @p34)) % 0.64/0.86 (step @p40 :rule implies_elim :premises (@p39)) % 0.64/0.86 (step @p41 :rule chain_m_resolution :premises (@p40 @p6) :args (@t41 @t36 @t42)) % 0.64/0.86 (step @p42 :rule eq-symm :args (@t18 tptp.multiplicative_identity)) % 0.64/0.86 (step @p43 :rule cong :premises (@p42) :args (@t19)) % 0.64/0.86 (step @p44 :rule eq_resolve :premises (@p8 @p43)) % 0.64/0.86 (step @p45 :rule instantiate :premises (@p44) :args (@t43)) % 0.64/0.86 (step @p46 :rule eq-symm :args (@t20 tptp.additive_identity)) % 0.64/0.86 (step @p47 :rule cong :premises (@p46) :args (@t21)) % 0.64/0.86 (step @p48 :rule eq_resolve :premises (@p10 @p47)) % 0.64/0.86 (step @p49 :rule instantiate :premises (@p48) :args (@t43)) % 0.64/0.86 (step @p50 :rule eq-symm :args (@t22 @t1)) % 0.64/0.86 (step @p51 :rule cong :premises (@p50) :args (@t23)) % 0.64/0.86 (step @p52 :rule eq_resolve :premises (@p11 @p51)) % 0.64/0.86 (step @p53 :rule instantiate :premises (@p52) :args (@t43)) % 0.64/0.86 (step @p54 :rule eq-symm :args (@t24 @t1)) % 0.64/0.86 (step @p55 :rule cong :premises (@p54) :args (@t25)) % 0.64/0.86 (step @p56 :rule eq_resolve :premises (@p13 @p55)) % 0.64/0.86 (step @p57 :rule instantiate :premises (@p56) :args (@t43)) % 0.64/0.86 (step @p58 :rule instantiate :premises (@p3) :args (@t44)) % 0.64/0.86 (step @p59 :rule instantiate :premises (@p3) :args ((@list @t45 tptp.multiplicative_identity tptp.multiplicative_identity))) % 0.64/0.86 (step @p60 :rule instantiate :premises (@p3) :args ((@list tptp.multiplicative_identity tptp.additive_identity tptp.multiplicative_identity))) % 0.64/0.86 (step @p61 :rule instantiate :premises (@p5) :args ((@list tptp.additive_identity tptp.multiplicative_identity tptp.additive_identity))) % 0.64/0.86 (step @p62 :rule instantiate :premises (@p52) :args ((@list tptp.additive_identity))) % 0.64/0.86 (step @p63 :rule eq-symm :args (@t47 @t49)) % 0.64/0.86 (step @p64 :rule cong :premises (@p22 @p63) :args ((=> @t12 @t50))) % 0.64/0.86 (assume-push @p529 @t12) % 0.64/0.86 (step @p66 :rule instantiate :premises (@p4) :args ((@list tptp.multiplicative_identity tptp.a tptp.a))) % 0.64/0.86 (step-pop @p530 :rule scope :premises (@p66)) % 0.64/0.86 (step @p67 :rule process_scope :premises (@p530) :args (@t50)) % 0.64/0.86 (step @p69 :rule eq_resolve :premises (@p67 @p64)) % 0.64/0.86 (step @p70 :rule implies_elim :premises (@p69)) % 0.64/0.86 (step @p71 :rule chain_m_resolution :premises (@p70 @p4) :args (@t51 @t36 @t37)) % 0.64/0.86 (step @p72 :rule instantiate :premises (@p5) :args ((@list tptp.a tptp.multiplicative_identity @t48))) % 0.64/0.86 (step @p73 :rule instantiate :premises (@p6) :args (@t52)) % 0.64/0.86 (step @p74 :rule instantiate :premises (@p2) :args ((@list tptp.a @t48))) % 0.64/0.86 (step @p75 :rule eq-symm :args (@t53 @t54)) % 0.64/0.86 (step @p76 :rule refl :args (@t6)) % 0.64/0.86 (step @p77 :rule cong :premises (@p76 @p75) :args ((=> @t6 @t55))) % 0.64/0.86 (assume-push @p531 @t6) % 0.64/0.86 (step @p79 :rule instantiate :premises (@p2) :args (@t56)) % 0.64/0.86 (step-pop @p532 :rule scope :premises (@p79)) % 0.64/0.86 (step @p80 :rule process_scope :premises (@p532) :args (@t55)) % 0.64/0.86 (step @p82 :rule eq_resolve :premises (@p80 @p77)) % 0.64/0.86 (step @p83 :rule implies_elim :premises (@p82)) % 0.64/0.86 (step @p84 :rule chain_m_resolution :premises (@p83 @p2) :args (@t57 @t36 @t58)) % 0.64/0.86 (step @p85 :rule instantiate :premises (@p3) :args ((@list tptp.a @t48 @t54))) % 0.64/0.86 (step @p86 :rule instantiate :premises (@p3) :args ((@list tptp.additive_identity tptp.a tptp.multiplicative_identity))) % 0.64/0.86 (step @p87 :rule instantiate :premises (@p4) :args ((@list tptp.multiplicative_identity @t46 tptp.additive_identity))) % 0.64/0.86 (step @p88 :rule instantiate :premises (@p5) :args ((@list tptp.a tptp.multiplicative_identity tptp.a))) % 0.64/0.86 (step @p89 :rule instantiate :premises (@p6) :args (@t59)) % 0.64/0.86 (step @p90 :rule instantiate :premises (@p52) :args ((@list @t48))) % 0.64/0.86 (step @p91 :rule eq-symm :args (@t60 @t61)) % 0.64/0.86 (step @p92 :rule cong :premises (@p76 @p91) :args ((=> @t6 @t62))) % 0.64/0.86 (assume-push @p533 @t6) % 0.64/0.86 (step @p94 :rule instantiate :premises (@p2) :args (@t63)) % 0.64/0.86 (step-pop @p534 :rule scope :premises (@p94)) % 0.64/0.86 (step @p95 :rule process_scope :premises (@p534) :args (@t62)) % 0.64/0.86 (step @p97 :rule eq_resolve :premises (@p95 @p92)) % 0.64/0.86 (step @p98 :rule implies_elim :premises (@p97)) % 0.64/0.86 (step @p99 :rule chain_m_resolution :premises (@p98 @p2) :args (@t64 @t36 @t58)) % 0.64/0.86 (step @p100 :rule instantiate :premises (@p2) :args (@t27)) % 0.64/0.86 (step @p101 :rule eq-symm :args (@t65 @t66)) % 0.64/0.86 (step @p102 :rule cong :premises (@p76 @p101) :args ((=> @t6 @t67))) % 0.64/0.86 (assume-push @p535 @t6) % 0.64/0.86 (step @p104 :rule instantiate :premises (@p2) :args (@t68)) % 0.64/0.86 (step-pop @p536 :rule scope :premises (@p104)) % 0.64/0.86 (step @p105 :rule process_scope :premises (@p536) :args (@t67)) % 0.64/0.86 (step @p107 :rule eq_resolve :premises (@p105 @p102)) % 0.64/0.86 (step @p108 :rule implies_elim :premises (@p107)) % 0.64/0.86 (step @p109 :rule chain_m_resolution :premises (@p108 @p2) :args (@t69 @t36 @t58)) % 0.64/0.86 (step @p110 :rule instantiate :premises (@p2) :args ((@list tptp.additive_identity @t46))) % 0.64/0.86 (step @p111 :rule instantiate :premises (@p3) :args ((@list @t48 tptp.multiplicative_identity @t54))) % 0.64/0.86 (step @p112 :rule instantiate :premises (@p3) :args (@t52)) % 0.64/0.86 (step @p113 :rule instantiate :premises (@p3) :args ((@list tptp.a tptp.a @t70))) % 0.64/0.86 (step @p114 :rule instantiate :premises (@p3) :args ((@list @t48 tptp.additive_identity @t53))) % 0.64/0.86 (step @p115 :rule instantiate :premises (@p4) :args ((@list tptp.a @t48 tptp.multiplicative_identity))) % 0.64/0.86 (step @p116 :rule instantiate :premises (@p5) :args ((@list tptp.additive_identity tptp.multiplicative_identity tptp.a))) % 0.64/0.86 (step @p117 :rule instantiate :premises (@p5) :args ((@list tptp.a tptp.multiplicative_identity tptp.additive_identity))) % 0.64/0.86 (step @p118 :rule eq-symm :args (@t71 @t72)) % 0.64/0.86 (step @p119 :rule cong :premises (@p33 @p118) :args ((=> @t15 @t73))) % 0.64/0.86 (assume-push @p537 @t15) % 0.64/0.86 (step @p121 :rule instantiate :premises (@p6) :args (@t74)) % 0.64/0.86 (step-pop @p538 :rule scope :premises (@p121)) % 0.64/0.86 (step @p122 :rule process_scope :premises (@p538) :args (@t73)) % 0.64/0.86 (step @p124 :rule eq_resolve :premises (@p122 @p119)) % 0.64/0.86 (step @p125 :rule implies_elim :premises (@p124)) % 0.64/0.86 (step @p126 :rule chain_m_resolution :premises (@p125 @p6) :args (@t75 @t36 @t42)) % 0.64/0.86 (step @p127 :rule instantiate :premises (@p52) :args ((@list tptp.a))) % 0.64/0.86 (step @p128 :rule instantiate :premises (@p1) :args (@t56)) % 0.64/0.86 (step @p129 :rule instantiate :premises (@p1) :args ((@list @t61 @t70))) % 0.64/0.86 (step @p130 :rule instantiate :premises (@p1) :args ((@list @t66 tptp.multiplicative_identity))) % 0.64/0.86 (step @p131 :rule instantiate :premises (@p2) :args ((@list @t77 @t76))) % 0.64/0.86 (step @p132 :rule instantiate :premises (@p3) :args ((@list tptp.multiplicative_identity tptp.additive_identity @t54))) % 0.64/0.86 (step @p133 :rule instantiate :premises (@p3) :args (@t59)) % 0.64/0.86 (step @p134 :rule instantiate :premises (@p4) :args ((@list @t61 tptp.multiplicative_identity tptp.a))) % 0.64/0.86 (step @p135 :rule instantiate :premises (@p5) :args ((@list @t32 @t48 @t32))) % 0.64/0.86 (step @p136 :rule eq-symm :args (@t78 @t79)) % 0.64/0.86 (step @p137 :rule refl :args (@t14)) % 0.64/0.86 (step @p138 :rule cong :premises (@p137 @p136) :args ((=> @t14 @t80))) % 0.64/0.86 (assume-push @p539 @t14) % 0.64/0.86 (step @p140 :rule instantiate :premises (@p5) :args (@t44)) % 0.64/0.86 (step-pop @p540 :rule scope :premises (@p140)) % 0.64/0.86 (step @p141 :rule process_scope :premises (@p540) :args (@t80)) % 0.64/0.86 (step @p143 :rule eq_resolve :premises (@p141 @p138)) % 0.64/0.86 (step @p144 :rule implies_elim :premises (@p143)) % 0.64/0.86 (step @p145 :rule chain_m_resolution :premises (@p144 @p5) :args (@t81 @t36 (@list @t14))) % 0.64/0.86 (step @p146 :rule instantiate :premises (@p56) :args ((@list @t60))) % 0.64/0.86 (step @p147 :rule instantiate :premises (@p48) :args ((@list @t54))) % 0.64/0.86 (step @p148 :rule instantiate :premises (@p3) :args ((@list @t82 @t54 tptp.multiplicative_identity))) % 0.64/0.86 (step @p149 :rule instantiate :premises (@p5) :args ((@list @t82 tptp.multiplicative_identity @t54))) % 0.64/0.86 (step @p150 :rule refl :args (@t89)) % 0.64/0.86 (step @p151 :rule refl :args (@t92)) % 0.64/0.86 (step @p152 :rule refl :args (@t94)) % 0.64/0.86 (step @p153 :rule refl :args (@t97)) % 0.64/0.86 (step @p154 :rule refl :args (@t98)) % 0.64/0.86 (step @p155 :rule refl :args (@t101)) % 0.64/0.86 (step @p156 :rule refl :args (@t105)) % 0.64/0.86 (step @p157 :rule refl :args (@t110)) % 0.64/0.86 (step @p158 :rule refl :args (@t115)) % 0.64/0.86 (step @p159 :rule refl :args (@t118)) % 0.64/0.86 (step @p160 :rule refl :args (@t121)) % 0.64/0.86 (step @p161 :rule refl :args (@t123)) % 0.64/0.86 (step @p162 :rule refl :args (@t125)) % 0.64/0.86 (step @p163 :rule refl :args (@t128)) % 0.64/0.86 (step @p164 :rule refl :args (@t129)) % 0.64/0.86 (step @p165 :rule refl :args (@t132)) % 0.64/0.86 (step @p166 :rule refl :args (@t135)) % 0.64/0.86 (step @p167 :rule refl :args (@t140)) % 0.64/0.86 (step @p168 :rule refl :args (@t144)) % 0.64/0.86 (step @p169 :rule refl :args (@t148)) % 0.64/0.86 (step @p170 :rule refl :args (@t152)) % 0.64/0.86 (step @p171 :rule refl :args (@t155)) % 0.64/0.86 (step @p172 :rule refl :args (@t159)) % 0.64/0.86 (step @p173 :rule refl :args (@t160)) % 0.64/0.86 (step @p174 :rule refl :args (@t162)) % 0.64/0.86 (step @p175 :rule refl :args (@t163)) % 0.64/0.86 (step @p176 :rule refl :args (@t165)) % 0.64/0.86 (step @p177 :rule refl :args (@t168)) % 0.64/0.86 (step @p178 :rule refl :args (@t171)) % 0.64/0.86 (step @p179 :rule refl :args (@t175)) % 0.64/0.86 (step @p180 :rule refl :args (@t177)) % 0.64/0.86 (step @p181 :rule refl :args (@t182)) % 0.64/0.86 (step @p182 :rule refl :args (@t183)) % 0.64/0.86 (step @p183 :rule refl :args (@t185)) % 0.64/0.86 (step @p184 :rule refl :args (@t188)) % 0.64/0.86 (step @p185 :rule refl :args (@t191)) % 0.64/0.86 (step @p186 :rule refl :args (@t192)) % 0.64/0.86 (step @p187 :rule refl :args (@t195)) % 0.64/0.86 (step @p188 :rule refl :args (@t199)) % 0.64/0.86 (step @p189 :rule refl :args (@t202)) % 0.64/0.86 (step @p190 :rule refl :args (@t207)) % 0.64/0.86 (step @p191 :rule refl :args (@t210)) % 0.64/0.86 (step @p192 :rule refl :args (@t212)) % 0.64/0.86 (step @p193 :rule refl :args (@t214)) % 0.64/0.86 (step @p194 :rule refl :args (@t216)) % 0.64/0.86 (step @p195 :rule refl :args (@t218)) % 0.64/0.86 (step @p196 :rule refl :args (@t219)) % 0.64/0.86 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@p453 :rule trans :premises (@p452 @p19)) % 0.64/0.86 (step @p454 :rule cong :premises (@p453 @p270) :args (@t90)) % 0.64/0.86 (step @p455 :rule symm :premises (@p148)) % 0.64/0.86 (step @p456 :rule symm :premises (@p128)) % 0.64/0.86 (step @p457 :rule symm :premises (@p130)) % 0.64/0.86 (step @p458 :rule symm :premises (@p87)) % 0.64/0.86 (step @p459 :rule trans :premises (@p84 @p339 @p458 @p414 @p457 @p416 @p133 @p426 @p135 @p433 @p317 @p456 @p319)) % 0.64/0.86 (step @p460 :rule refl :args (@t86)) % 0.64/0.86 (step @p461 :rule cong :premises (@p460 @p459) :args (@t87)) % 0.64/0.86 (step @p462 :rule trans :premises (@p461 @p455 @p454 @p451 @p60 @p450 @p31 @p41 @p275 @p273 @p272 @p262 @p261)) % 0.64/0.86 (step @p463 :rule cong :premises (@p462 @p449) :args (@t88)) % 0.64/0.86 (step @p464 :rule trans :premises (@p463 @p258)) % 0.64/0.86 (step @p465 :rule false_elim :premises (@p464)) % 0.64/0.86 (step-pop @p594 :rule scope :premises (@p465)) % 0.64/0.86 (step-pop @p595 :rule scope :premises (@p594)) % 0.64/0.86 (step-pop @p596 :rule scope :premises (@p595)) % 0.64/0.86 (step-pop @p597 :rule scope :premises (@p596)) % 0.64/0.86 (step-pop @p598 :rule scope :premises (@p597)) % 0.64/0.86 (step-pop @p599 :rule scope :premises (@p598)) % 0.64/0.86 (step-pop @p600 :rule scope :premises (@p599)) % 0.64/0.86 (step-pop @p601 :rule scope :premises (@p600)) % 0.64/0.86 (step-pop @p602 :rule scope :premises (@p601)) % 0.64/0.86 (step-pop @p603 :rule scope :premises (@p602)) % 0.64/0.86 (step-pop @p604 :rule scope :premises (@p603)) % 0.64/0.86 (step-pop @p605 :rule scope :premises (@p604)) % 0.64/0.86 (step-pop @p606 :rule scope :premises (@p605)) % 0.64/0.86 (step-pop @p607 :rule scope :premises (@p606)) % 0.64/0.86 (step-pop @p608 :rule scope :premises (@p607)) % 0.64/0.86 (step-pop @p609 :rule scope :premises (@p608)) % 0.64/0.86 (step-pop @p610 :rule scope :premises (@p609)) % 0.64/0.86 (step-pop @p611 :rule scope :premises (@p610)) % 0.64/0.86 (step-pop @p612 :rule scope :premises (@p611)) % 0.64/0.86 (step-pop @p613 :rule scope :premises (@p612)) % 0.64/0.86 (step-pop @p614 :rule scope :premises (@p613)) % 0.64/0.86 (step-pop @p615 :rule scope :premises (@p614)) % 0.64/0.86 (step-pop @p616 :rule scope :premises (@p615)) % 0.64/0.86 (step-pop @p617 :rule scope :premises (@p616)) % 0.64/0.86 (step-pop @p618 :rule scope :premises (@p617)) % 0.64/0.86 (step-pop @p619 :rule scope :premises (@p618)) % 0.64/0.86 (step-pop @p620 :rule scope :premises (@p619)) % 0.64/0.86 (step-pop @p621 :rule scope :premises (@p620)) % 0.64/0.86 (step-pop @p622 :rule scope :premises (@p621)) % 0.64/0.86 (step-pop @p623 :rule scope :premises (@p622)) % 0.64/0.86 (step-pop @p624 :rule scope :premises (@p623)) % 0.64/0.86 (step-pop @p625 :rule scope :premises (@p624)) % 0.64/0.86 (step-pop @p626 :rule scope :premises (@p625)) % 0.64/0.86 (step-pop @p627 :rule scope :premises (@p626)) % 0.64/0.86 (step-pop @p628 :rule scope :premises (@p627)) % 0.64/0.86 (step-pop @p629 :rule scope :premises (@p628)) % 0.64/0.86 (step-pop @p630 :rule scope :premises (@p629)) % 0.64/0.86 (step-pop @p631 :rule scope :premises (@p630)) % 0.64/0.86 (step-pop @p632 :rule scope :premises (@p631)) % 0.64/0.86 (step-pop @p633 :rule scope :premises (@p632)) % 0.64/0.86 (step-pop @p634 :rule scope :premises (@p633)) % 0.64/0.86 (step-pop @p635 :rule scope :premises (@p634)) % 0.64/0.86 (step-pop @p636 :rule scope :premises (@p635)) % 0.64/0.86 (step-pop @p637 :rule scope :premises (@p636)) % 0.64/0.86 (step-pop @p638 :rule scope :premises (@p637)) % 0.64/0.86 (step-pop @p639 :rule scope :premises (@p638)) % 0.64/0.86 (step-pop @p640 :rule scope :premises (@p639)) % 0.64/0.86 (step-pop @p641 :rule scope :premises (@p640)) % 0.64/0.86 (step-pop @p642 :rule scope :premises (@p641)) % 0.64/0.86 (step-pop @p643 :rule scope :premises (@p642)) % 0.64/0.86 (step-pop @p644 :rule scope :premises (@p643)) % 0.64/0.86 (step-pop @p645 :rule scope :premises (@p644)) % 0.64/0.86 (step-pop @p646 :rule scope :premises (@p645)) % 0.64/0.86 (step @p466 :rule process_scope :premises (@p646) :args (@t89)) % 0.64/0.86 (step @p520 :rule implies_elim :premises (@p466)) % 0.64/0.86 (step @p521 :rule cnf_and_neg :args (@t241)) % 0.64/0.86 (step @p522 :rule resolution :premises (@p521 @p520) :args (true @t241)) % 0.64/0.86 (step @p523 :rule eq_resolve :premises (@p522 @p204)) % 0.64/0.86 (step @p524 false :rule chain_m_resolution :premises (@p523 @p149 @p148 @p147 @p146 @p145 @p135 @p134 @p133 @p132 @p131 @p130 @p129 @p128 @p127 @p126 @p117 @p116 @p115 @p114 @p113 @p112 @p111 @p110 @p109 @p100 @p99 @p90 @p89 @p88 @p87 @p86 @p85 @p84 @p74 @p73 @p72 @p71 @p62 @p61 @p60 @p59 @p58 @p57 @p53 @p49 @p45 @p41 @p31 @p30 @p20 @p19 @p18 @p17 @p16) :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 true) (@list @t88 @t91 @t93 @t96 @t81 @t100 @t104 @t109 @t114 @t117 @t120 @t122 @t124 @t127 @t75 @t131 @t134 @t139 @t143 @t147 @t151 @t154 @t158 @t69 @t161 @t64 @t164 @t167 @t170 @t174 @t176 @t181 @t57 @t184 @t187 @t190 @t51 @t194 @t198 @t201 @t206 @t209 @t211 @t213 @t215 @t217 @t41 @t220 @t35 @t224 @t226 @t228 @t230 @t232))) % 0.64/0.86 ) % 0.64/0.86 % SZS output end Proof % 0.64/0.86 % cvc5 exiting %------------------------------------------------------------------------------