%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP334-1 : TPTP v9.2.1. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n007.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 08:20:30 AM UTC 2026 % Result : Unsatisfiable 0.53s 0.77s % Output : Proof 0.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP334-1 : TPTP v9.2.1. Released v2.5.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n007.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 01:01:26 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.53/0.77 % SZS status Unsatisfiable % 0.53/0.77 % SZS output start Proof % 0.62/0.81 ( % 0.62/0.81 (declare-sort $$unsorted 0) % 0.62/0.81 (declare-const tptp.sk_c2 $$unsorted) % 0.62/0.81 (declare-const tptp.sk_c3 $$unsorted) % 0.62/0.81 (declare-const tptp.sk_c1 $$unsorted) % 0.62/0.81 (declare-const tptp.sk_c6 $$unsorted) % 0.62/0.81 (declare-const tptp.sk_c4 $$unsorted) % 0.62/0.81 (declare-const tptp.sk_c7 $$unsorted) % 0.62/0.81 (declare-const tptp.sk_c5 $$unsorted) % 0.62/0.81 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.62/0.81 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.62/0.81 (declare-const tptp.identity $$unsorted) % 0.62/0.81 (define @t1 () (@var "X" $$unsorted)) % 0.62/0.81 (define @t2 () (tptp.multiply tptp.identity @t1)) % 0.62/0.81 (define @t3 () (@list @t1)) % 0.62/0.81 (define @t4 () (forall @t3 (= @t2 @t1))) % 0.62/0.81 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 0.62/0.81 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 0.62/0.81 (define @t7 () (@var "Z" $$unsorted)) % 0.62/0.81 (define @t8 () (@var "Y" $$unsorted)) % 0.62/0.81 (define @t9 () (forall (@list @t1 @t8 @t7) (= (tptp.multiply (tptp.multiply @t1 @t8) @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 0.62/0.81 (define @t10 () (tptp.multiply tptp.sk_c6 tptp.sk_c7)) % 0.62/0.81 (define @t11 () (= @t10 tptp.sk_c5)) % 0.62/0.81 (define @t12 () (tptp.inverse tptp.sk_c6)) % 0.62/0.81 (define @t13 () (= @t12 tptp.sk_c5)) % 0.62/0.81 (define @t14 () (tptp.multiply tptp.sk_c1 tptp.sk_c6)) % 0.62/0.81 (define @t15 () (= @t14 tptp.sk_c7)) % 0.62/0.81 (define @t16 () (or @t15 @t13)) % 0.62/0.81 (define @t17 () (tptp.inverse tptp.sk_c7)) % 0.62/0.81 (define @t18 () (= @t17 tptp.sk_c5)) % 0.62/0.81 (define @t19 () (or @t15 @t18)) % 0.62/0.81 (define @t20 () (tptp.multiply tptp.sk_c6 tptp.sk_c4)) % 0.62/0.81 (define @t21 () (= @t20 tptp.sk_c5)) % 0.62/0.81 (define @t22 () (or @t15 @t21)) % 0.62/0.81 (define @t23 () (tptp.multiply tptp.sk_c3 tptp.sk_c6)) % 0.62/0.81 (define @t24 () (= @t23 tptp.sk_c4)) % 0.62/0.81 (define @t25 () (or @t15 @t24)) % 0.62/0.81 (define @t26 () (tptp.inverse tptp.sk_c3)) % 0.62/0.81 (define @t27 () (= @t26 tptp.sk_c6)) % 0.62/0.81 (define @t28 () (or @t15 @t27)) % 0.62/0.81 (define @t29 () (tptp.inverse tptp.sk_c1)) % 0.62/0.81 (define @t30 () (= @t29 tptp.sk_c6)) % 0.62/0.81 (define @t31 () (or @t30 @t13)) % 0.62/0.81 (define @t32 () (or @t30 @t18)) % 0.62/0.81 (define @t33 () (or @t30 @t21)) % 0.62/0.81 (define @t34 () (or @t30 @t24)) % 0.62/0.81 (define @t35 () (or @t30 @t27)) % 0.62/0.81 (define @t36 () (tptp.inverse tptp.sk_c2)) % 0.62/0.81 (define @t37 () (= @t36 tptp.sk_c6)) % 0.62/0.81 (define @t38 () (or @t37 @t13)) % 0.62/0.81 (define @t39 () (or @t37 @t18)) % 0.62/0.81 (define @t40 () (tptp.multiply tptp.sk_c2 tptp.sk_c5)) % 0.62/0.81 (define @t41 () (= @t40 tptp.sk_c6)) % 0.62/0.81 (define @t42 () (or @t41 @t13)) % 0.62/0.81 (define @t43 () (or @t41 @t18)) % 0.62/0.81 (define @t44 () (@var "X2" $$unsorted)) % 0.62/0.81 (define @t45 () (tptp.inverse @t44)) % 0.62/0.81 (define @t46 () (not (= @t45 tptp.sk_c6))) % 0.62/0.81 (define @t47 () (@var "X1" $$unsorted)) % 0.62/0.81 (define @t48 () (tptp.multiply @t44 tptp.sk_c6)) % 0.62/0.81 (define @t49 () (not (= @t48 @t47))) % 0.62/0.81 (define @t50 () (tptp.multiply tptp.sk_c6 @t47)) % 0.62/0.81 (define @t51 () (not (= @t50 tptp.sk_c5))) % 0.62/0.81 (define @t52 () (not @t18)) % 0.62/0.81 (define @t53 () (not @t13)) % 0.62/0.81 (define @t54 () (@var "X4" $$unsorted)) % 0.62/0.81 (define @t55 () (tptp.multiply @t54 tptp.sk_c5)) % 0.62/0.81 (define @t56 () (not (= @t55 tptp.sk_c6))) % 0.62/0.81 (define @t57 () (tptp.inverse @t54)) % 0.62/0.81 (define @t58 () (not (= @t57 tptp.sk_c6))) % 0.62/0.81 (define @t59 () (@var "X3" $$unsorted)) % 0.62/0.81 (define @t60 () (tptp.inverse @t59)) % 0.62/0.81 (define @t61 () (not (= @t60 tptp.sk_c6))) % 0.62/0.81 (define @t62 () (tptp.multiply @t59 tptp.sk_c6)) % 0.62/0.81 (define @t63 () (not (= @t62 tptp.sk_c7))) % 0.62/0.81 (define @t64 () (not @t11)) % 0.62/0.81 (define @t65 () (or @t64 @t63 @t61 @t58 @t56 @t53 @t52 @t51 @t49 @t46)) % 0.62/0.81 (define @t66 () (@list @t59 @t54 @t47 @t44)) % 0.62/0.81 (define @t67 () (forall @t66 @t65)) % 0.62/0.81 (define @t68 () (not (= tptp.sk_c6 @t60))) % 0.62/0.81 (define @t69 () (not (= tptp.sk_c7 @t62))) % 0.62/0.81 (define @t70 () (or @t69 @t68)) % 0.62/0.81 (define @t71 () (forall (@list @t59) @t70)) % 0.62/0.81 (define @t72 () (tptp.inverse @t12)) % 0.62/0.81 (define @t73 () (= tptp.sk_c6 @t72)) % 0.62/0.81 (define @t74 () (not @t73)) % 0.62/0.81 (define @t75 () (tptp.multiply @t12 tptp.sk_c6)) % 0.62/0.81 (define @t76 () (= tptp.sk_c7 @t75)) % 0.62/0.81 (define @t77 () (not @t76)) % 0.62/0.81 (define @t78 () (or @t77 @t74)) % 0.62/0.81 (define @t79 () (= tptp.sk_c6 @t29)) % 0.62/0.81 (define @t80 () (not @t79)) % 0.62/0.81 (define @t81 () (= tptp.sk_c7 @t14)) % 0.62/0.81 (define @t82 () (not @t81)) % 0.62/0.81 (define @t83 () (or @t82 @t80)) % 0.62/0.81 (define @t84 () (= tptp.sk_c5 @t17)) % 0.62/0.81 (define @t85 () (= tptp.sk_c5 @t20)) % 0.62/0.81 (define @t86 () (= tptp.sk_c4 @t23)) % 0.62/0.81 (define @t87 () (= tptp.sk_c6 @t26)) % 0.62/0.81 (define @t88 () (@list tptp.sk_c6)) % 0.62/0.81 (define @t89 () (@list tptp.sk_c7)) % 0.62/0.81 (define @t90 () (= tptp.sk_c5 @t10)) % 0.62/0.81 (define @t91 () (= tptp.identity @t75)) % 0.62/0.81 (define @t92 () (= tptp.identity (tptp.multiply @t17 tptp.sk_c7))) % 0.62/0.81 (define @t93 () (tptp.multiply @t26 tptp.sk_c3)) % 0.62/0.81 (define @t94 () (= tptp.identity @t93)) % 0.62/0.81 (define @t95 () (tptp.multiply @t36 tptp.sk_c2)) % 0.62/0.81 (define @t96 () (= tptp.identity @t95)) % 0.62/0.81 (define @t97 () (tptp.multiply tptp.sk_c6 @t23)) % 0.62/0.81 (define @t98 () (tptp.multiply tptp.sk_c6 tptp.sk_c3)) % 0.62/0.81 (define @t99 () (tptp.multiply @t98 tptp.sk_c6)) % 0.62/0.81 (define @t100 () (= @t99 @t97)) % 0.62/0.81 (define @t101 () (tptp.multiply tptp.identity tptp.sk_c6)) % 0.62/0.81 (define @t102 () (= tptp.sk_c6 @t101)) % 0.62/0.81 (define @t103 () (tptp.multiply tptp.sk_c2 tptp.sk_c7)) % 0.62/0.81 (define @t104 () (tptp.multiply @t36 @t103)) % 0.62/0.81 (define @t105 () (tptp.multiply @t95 tptp.sk_c7)) % 0.62/0.81 (define @t106 () (= @t105 @t104)) % 0.62/0.81 (define @t107 () (tptp.multiply tptp.identity tptp.sk_c7)) % 0.62/0.81 (define @t108 () (= tptp.sk_c7 @t107)) % 0.62/0.81 (define @t109 () (tptp.multiply tptp.sk_c6 @t104)) % 0.62/0.81 (define @t110 () (and @t90 @t84 @t85 @t86 @t87 @t91 @t92 @t94 @t96 @t100 @t102 @t106 @t108)) % 0.62/0.81 (define @t111 () (not @t108)) % 0.62/0.81 (define @t112 () (not @t106)) % 0.62/0.81 (define @t113 () (not @t102)) % 0.62/0.81 (define @t114 () (not @t100)) % 0.62/0.81 (define @t115 () (not @t96)) % 0.62/0.81 (define @t116 () (not @t94)) % 0.62/0.81 (define @t117 () (not @t92)) % 0.62/0.81 (define @t118 () (not @t91)) % 0.62/0.81 (define @t119 () (not @t87)) % 0.62/0.81 (define @t120 () (not @t86)) % 0.62/0.81 (define @t121 () (not @t85)) % 0.62/0.81 (define @t122 () (not @t84)) % 0.62/0.81 (define @t123 () (not @t90)) % 0.62/0.81 (define @t124 () (= tptp.sk_c5 @t12)) % 0.62/0.81 (define @t125 () (= tptp.sk_c6 @t12)) % 0.62/0.81 (define @t126 () (and @t124 @t85 @t86 @t87 @t94 @t100 @t102)) % 0.62/0.81 (define @t127 () (not @t124)) % 0.62/0.81 (define @t128 () (tptp.multiply tptp.sk_c6 tptp.sk_c5)) % 0.62/0.81 (define @t129 () (= tptp.sk_c6 @t128)) % 0.62/0.81 (define @t130 () (and @t90 @t124 @t84 @t85 @t86 @t87 @t91 @t92 @t94 @t96 @t100 @t102 @t106 @t108)) % 0.62/0.81 (define @t131 () (tptp.multiply tptp.sk_c6 tptp.sk_c6)) % 0.62/0.81 (define @t132 () (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 @t131))) % 0.62/0.81 (define @t133 () (not @t129)) % 0.62/0.81 (define @t134 () (not @t125)) % 0.62/0.81 (define @t135 () (or @t134 @t133)) % 0.62/0.81 (define @t136 () (not @t132)) % 0.62/0.81 (define @t137 () (or @t136 @t134)) % 0.62/0.81 (define @t138 () (not (= tptp.sk_c6 @t55))) % 0.62/0.81 (define @t139 () (not (= tptp.sk_c6 @t57))) % 0.62/0.81 (define @t140 () (or @t139 @t138)) % 0.62/0.81 (define @t141 () (forall (@list @t54) @t140)) % 0.62/0.81 (define @t142 () (not (= tptp.sk_c6 @t45))) % 0.62/0.81 (define @t143 () (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 @t48)))) % 0.62/0.81 (define @t144 () (or @t143 @t142)) % 0.62/0.81 (define @t145 () (@list @t44)) % 0.62/0.81 (define @t146 () (forall @t145 @t144)) % 0.62/0.81 (define @t147 () (not (= @t48 @t48))) % 0.62/0.81 (define @t148 () (or @t143 @t147 @t142)) % 0.62/0.81 (define @t149 () (not (= @t47 @t48))) % 0.62/0.81 (define @t150 () (not (= tptp.sk_c5 @t50))) % 0.62/0.81 (define @t151 () (or @t149 @t150 @t149 @t142)) % 0.62/0.81 (define @t152 () (@list @t47)) % 0.62/0.81 (define @t153 () (or @t150 @t149 @t142)) % 0.62/0.81 (define @t154 () (forall @t152 @t153)) % 0.62/0.81 (define @t155 () (forall @t145 @t154)) % 0.62/0.81 (define @t156 () (forall (@list @t44 @t47) @t153)) % 0.62/0.81 (define @t157 () (forall (@list @t47 @t44) @t153)) % 0.62/0.81 (define @t158 () (or @t123 @t127 @t122 @t71 @t141 @t157)) % 0.62/0.81 (define @t159 () (or @t123 @t127 @t122 @t70 @t140 @t153)) % 0.62/0.81 (define @t160 () (or @t123 @t69 @t68 @t139 @t138 @t127 @t122 @t150 @t149 @t142)) % 0.62/0.81 (define @t161 () (@quantifiers_skolemize @t71 0)) % 0.62/0.81 (define @t162 () (tptp.inverse @t161)) % 0.62/0.81 (define @t163 () (= tptp.sk_c6 @t162)) % 0.62/0.81 (define @t164 () (not @t163)) % 0.62/0.81 (define @t165 () (tptp.multiply @t161 tptp.sk_c6)) % 0.62/0.81 (define @t166 () (= tptp.sk_c7 @t165)) % 0.62/0.81 (define @t167 () (not @t166)) % 0.62/0.81 (define @t168 () (or @t167 @t164)) % 0.62/0.81 (define @t169 () (not @t168)) % 0.62/0.81 (define @t170 () (not @t71)) % 0.62/0.81 (define @t171 () (forall @t3 (= @t1 @t2))) % 0.62/0.81 (define @t172 () (forall @t3 (= tptp.identity @t5))) % 0.62/0.81 (define @t173 () (tptp.multiply tptp.sk_c6 @t165)) % 0.62/0.81 (define @t174 () (= tptp.sk_c5 @t173)) % 0.62/0.81 (define @t175 () (and @t90 @t96 @t166 @t106 @t108)) % 0.62/0.81 (define @t176 () (not @t174)) % 0.62/0.81 (define @t177 () (or @t176 @t164)) % 0.62/0.81 (define @t178 () (@list @t161)) % 0.62/0.81 (define @t179 () (tptp.multiply @t162 @t161)) % 0.62/0.81 (define @t180 () (= tptp.identity @t179)) % 0.62/0.81 (define @t181 () (tptp.multiply tptp.sk_c6 @t161)) % 0.62/0.81 (define @t182 () (tptp.multiply @t181 tptp.sk_c6)) % 0.62/0.81 (define @t183 () (= @t182 @t173)) % 0.62/0.81 (define @t184 () (and @t90 @t124 @t96 @t102 @t166 @t163 @t180 @t183 @t106 @t108)) % 0.62/0.81 (define @t185 () (not @t183)) % 0.62/0.81 (define @t186 () (not @t180)) % 0.62/0.81 (define @t187 () (@quantifiers_skolemize @t146 0)) % 0.62/0.81 (define @t188 () (tptp.inverse @t187)) % 0.62/0.81 (define @t189 () (= tptp.sk_c6 @t188)) % 0.62/0.81 (define @t190 () (not @t189)) % 0.62/0.81 (define @t191 () (tptp.multiply @t187 tptp.sk_c6)) % 0.62/0.81 (define @t192 () (tptp.multiply tptp.sk_c6 @t191)) % 0.62/0.81 (define @t193 () (= tptp.sk_c5 @t192)) % 0.62/0.81 (define @t194 () (not @t193)) % 0.62/0.81 (define @t195 () (or @t194 @t190)) % 0.62/0.81 (define @t196 () (not @t195)) % 0.62/0.81 (define @t197 () (not @t146)) % 0.62/0.81 (define @t198 () (@list @t187)) % 0.62/0.81 (define @t199 () (tptp.multiply @t188 @t187)) % 0.62/0.81 (define @t200 () (= tptp.identity @t199)) % 0.62/0.81 (define @t201 () (tptp.multiply tptp.identity @t187)) % 0.62/0.81 (define @t202 () (= @t187 @t201)) % 0.62/0.81 (define @t203 () (tptp.multiply tptp.sk_c6 @t187)) % 0.62/0.81 (define @t204 () (tptp.multiply tptp.sk_c1 @t203)) % 0.62/0.81 (define @t205 () (tptp.multiply @t14 @t187)) % 0.62/0.81 (define @t206 () (= @t205 @t204)) % 0.62/0.81 (define @t207 () (tptp.multiply tptp.identity @t161)) % 0.62/0.81 (define @t208 () (= @t161 @t207)) % 0.62/0.81 (define @t209 () (tptp.multiply tptp.sk_c1 @t181)) % 0.62/0.81 (define @t210 () (tptp.multiply @t14 @t161)) % 0.62/0.81 (define @t211 () (= @t210 @t209)) % 0.62/0.81 (define @t212 () (tptp.multiply @t187 @t10)) % 0.62/0.81 (define @t213 () (= tptp.sk_c6 (tptp.multiply @t191 tptp.sk_c5))) % 0.62/0.81 (define @t214 () (and @t90 @t81 @t189 @t91 @t96 @t200 @t102 @t76 @t166 @t163 @t202 @t180 @t183 @t206 @t208 @t106 @t211 @t108)) % 0.62/0.81 (define @t215 () (not @t211)) % 0.62/0.81 (define @t216 () (not @t208)) % 0.62/0.81 (define @t217 () (not @t206)) % 0.62/0.81 (define @t218 () (not @t202)) % 0.62/0.81 (define @t219 () (not @t200)) % 0.62/0.81 (define @t220 () (@quantifiers_skolemize @t141 0)) % 0.62/0.81 (define @t221 () (tptp.multiply @t220 tptp.sk_c5)) % 0.62/0.81 (define @t222 () (= tptp.sk_c6 @t221)) % 0.62/0.81 (define @t223 () (not @t222)) % 0.62/0.81 (define @t224 () (tptp.inverse @t220)) % 0.62/0.81 (define @t225 () (= tptp.sk_c6 @t224)) % 0.62/0.81 (define @t226 () (not @t225)) % 0.62/0.81 (define @t227 () (or @t226 @t223)) % 0.62/0.81 (define @t228 () (not @t227)) % 0.62/0.81 (define @t229 () (not @t141)) % 0.62/0.81 (define @t230 () (@list @t220)) % 0.62/0.81 (define @t231 () (tptp.multiply @t220 @t192)) % 0.62/0.81 (define @t232 () (tptp.multiply @t12 @t231)) % 0.62/0.81 (define @t233 () (= (tptp.multiply (tptp.multiply @t12 @t220) @t192) @t232)) % 0.62/0.81 (define @t234 () (not @t233)) % 0.62/0.81 (define @t235 () (tptp.multiply @t224 @t220)) % 0.62/0.81 (define @t236 () (= tptp.identity @t235)) % 0.62/0.81 (define @t237 () (not @t236)) % 0.62/0.81 (define @t238 () (= tptp.sk_c6 @t17)) % 0.62/0.81 (define @t239 () (= false true)) % 0.62/0.81 (define @t240 () (tptp.inverse @t203)) % 0.62/0.81 (define @t241 () (tptp.inverse @t191)) % 0.62/0.81 (define @t242 () (and @t90 @t124 @t125 @t238 @t122)) % 0.62/0.81 (define @t243 () (not @t213)) % 0.62/0.81 (define @t244 () (= tptp.sk_c6 @t241)) % 0.62/0.81 (define @t245 () (not @t244)) % 0.62/0.81 (define @t246 () (or @t245 @t243)) % 0.62/0.81 (define @t247 () (tptp.multiply @t161 @t161)) % 0.62/0.81 (define @t248 () (tptp.multiply @t247 tptp.sk_c6)) % 0.62/0.81 (define @t249 () (tptp.multiply tptp.sk_c6 @t248)) % 0.62/0.81 (define @t250 () (= tptp.sk_c5 @t249)) % 0.62/0.81 (define @t251 () (not @t250)) % 0.62/0.81 (define @t252 () (tptp.multiply tptp.sk_c6 @t247)) % 0.62/0.81 (define @t253 () (tptp.multiply @t252 tptp.sk_c6)) % 0.62/0.81 (define @t254 () (= @t253 @t249)) % 0.62/0.81 (define @t255 () (not @t254)) % 0.62/0.81 (define @t256 () (tptp.multiply @t181 @t161)) % 0.62/0.81 (define @t257 () (= @t256 @t252)) % 0.62/0.81 (define @t258 () (not @t257)) % 0.62/0.81 (define @t259 () (tptp.multiply @t161 tptp.sk_c5)) % 0.62/0.81 (define @t260 () (and @t90 @t124 @t96 @t102 @t76 @t166 @t163 @t180 @t183 @t133 @t208 @t106 @t257 @t254 @t108)) % 0.62/0.81 (define @t261 () (not @t238)) % 0.62/0.81 (define @t262 () (and @t90 @t81 @t124 @t189 @t91 @t96 @t200 @t102 @t76 @t166 @t163 @t202 @t180 @t183 @t206 @t245 @t208 @t106 @t211 @t108)) % 0.62/0.81 (define @t263 () (= tptp.sk_c6 @t36)) % 0.62/0.81 (define @t264 () (= tptp.sk_c6 @t40)) % 0.62/0.81 (define @t265 () (tptp.multiply tptp.sk_c2 tptp.sk_c6)) % 0.62/0.81 (define @t266 () (tptp.multiply @t265 @t187)) % 0.62/0.81 (define @t267 () (tptp.multiply @t266 tptp.sk_c6)) % 0.62/0.81 (define @t268 () (tptp.multiply @t265 @t191)) % 0.62/0.81 (define @t269 () (= @t267 @t268)) % 0.62/0.81 (define @t270 () (@list @t265 @t187 tptp.sk_c6)) % 0.62/0.81 (define @t271 () (= @t268 @t267)) % 0.62/0.81 (define @t272 () (@list false)) % 0.62/0.81 (define @t273 () (@list @t9)) % 0.62/0.81 (define @t274 () (tptp.multiply tptp.sk_c7 tptp.sk_c6)) % 0.62/0.81 (define @t275 () (tptp.multiply tptp.sk_c2 @t192)) % 0.62/0.81 (define @t276 () (= @t268 @t275)) % 0.62/0.81 (define @t277 () (= @t266 (tptp.multiply tptp.sk_c2 @t203))) % 0.62/0.81 (define @t278 () (tptp.multiply tptp.identity @t274)) % 0.62/0.81 (define @t279 () (= @t274 @t278)) % 0.62/0.81 (define @t280 () (tptp.multiply @t103 @t274)) % 0.62/0.81 (define @t281 () (tptp.multiply @t36 @t280)) % 0.62/0.81 (define @t282 () (tptp.multiply @t104 @t274)) % 0.62/0.81 (define @t283 () (= @t282 @t281)) % 0.62/0.81 (define @t284 () (and @t90 @t81 @t124 @t263 @t264 @t193 @t189 @t91 @t96 @t200 @t276 @t102 @t76 @t166 @t163 @t180 @t183 @t277 @t271 @t208 @t106 @t257 @t254 @t108 @t279 @t283)) % 0.62/0.81 (define @t285 () (not @t283)) % 0.62/0.81 (define @t286 () (not @t279)) % 0.62/0.81 (define @t287 () (not @t276)) % 0.62/0.81 (define @t288 () (not @t264)) % 0.62/0.81 (define @t289 () (not @t263)) % 0.62/0.81 (define @t290 () (tptp.multiply tptp.sk_c6 @t36)) % 0.62/0.81 (define @t291 () (= (tptp.multiply @t290 @t103) @t109)) % 0.62/0.81 (define @t292 () (tptp.multiply tptp.sk_c2 @t104)) % 0.62/0.81 (define @t293 () (tptp.multiply tptp.sk_c2 @t36)) % 0.62/0.81 (define @t294 () (tptp.multiply @t293 @t103)) % 0.62/0.81 (define @t295 () (= @t294 @t292)) % 0.62/0.81 (define @t296 () (and @t90 @t124 @t263 @t264 @t193 @t91 @t96 @t276 @t102 @t166 @t163 @t180 @t183 @t106 @t108 @t291 @t295)) % 0.62/0.81 (define @t297 () (not @t295)) % 0.62/0.81 (define @t298 () (and @t90 @t124 @t84 @t91 @t92 @t96 @t102 @t166 @t163 @t180 @t183 @t106 @t108)) % 0.62/0.81 (define @t299 () (= tptp.sk_c6 @t259)) % 0.62/0.81 (define @t300 () (and @t90 @t263 @t264 @t96 @t102 @t166 @t163 @t180 @t183 @t106 @t108 @t295)) % 0.62/0.81 (define @t301 () (not @t299)) % 0.62/0.81 (define @t302 () (or @t164 @t301)) % 0.62/0.81 (define @t303 () (tptp.multiply @t220 tptp.sk_c6)) % 0.62/0.81 (define @t304 () (tptp.multiply @t187 @t220)) % 0.62/0.81 (define @t305 () (tptp.multiply @t266 @t220)) % 0.62/0.81 (define @t306 () (tptp.multiply @t265 @t304)) % 0.62/0.81 (define @t307 () (= @t305 @t306)) % 0.62/0.81 (define @t308 () (@list @t265 @t187 @t220)) % 0.62/0.81 (define @t309 () (= @t306 @t305)) % 0.62/0.81 (define @t310 () (tptp.multiply @t221 @t12)) % 0.62/0.81 (define @t311 () (tptp.multiply @t187 @t187)) % 0.62/0.81 (define @t312 () (tptp.multiply @t311 @t220)) % 0.62/0.81 (define @t313 () (tptp.multiply @t187 @t304)) % 0.62/0.81 (define @t314 () (= @t312 @t313)) % 0.62/0.81 (define @t315 () (= @t313 @t312)) % 0.62/0.81 (define @t316 () (tptp.multiply @t303 @t191)) % 0.62/0.81 (define @t317 () (= @t316 @t231)) % 0.62/0.81 (define @t318 () (tptp.multiply @t191 tptp.sk_c7)) % 0.62/0.81 (define @t319 () (tptp.multiply @t303 @t318)) % 0.62/0.81 (define @t320 () (= (tptp.multiply @t316 tptp.sk_c7) @t319)) % 0.62/0.81 (define @t321 () (tptp.multiply tptp.identity @t220)) % 0.62/0.81 (define @t322 () (= @t220 @t321)) % 0.62/0.81 (define @t323 () (tptp.multiply tptp.identity @t304)) % 0.62/0.81 (define @t324 () (= @t304 @t323)) % 0.62/0.81 (define @t325 () (tptp.multiply tptp.sk_c6 @t311)) % 0.62/0.81 (define @t326 () (tptp.multiply @t203 @t187)) % 0.62/0.81 (define @t327 () (= @t326 @t325)) % 0.62/0.81 (define @t328 () (tptp.multiply tptp.sk_c6 @t313)) % 0.62/0.81 (define @t329 () (= (tptp.multiply @t203 @t304) @t328)) % 0.62/0.81 (define @t330 () (= @t318 @t212)) % 0.62/0.81 (define @t331 () (tptp.multiply @t221 @t232)) % 0.62/0.81 (define @t332 () (tptp.multiply @t310 @t231)) % 0.62/0.81 (define @t333 () (= @t332 @t331)) % 0.62/0.81 (define @t334 () (tptp.multiply @t161 @t165)) % 0.62/0.81 (define @t335 () (= @t248 @t334)) % 0.62/0.81 (define @t336 () (= tptp.identity (tptp.multiply (tptp.inverse @t306) @t306))) % 0.62/0.81 (define @t337 () (tptp.multiply @t265 tptp.sk_c6)) % 0.62/0.81 (define @t338 () (tptp.multiply @t337 @t161)) % 0.62/0.81 (define @t339 () (= @t338 (tptp.multiply @t265 @t181))) % 0.62/0.81 (define @t340 () (tptp.multiply @t247 @t248)) % 0.62/0.81 (define @t341 () (tptp.multiply (tptp.multiply @t247 @t247) tptp.sk_c6)) % 0.62/0.81 (define @t342 () (= @t341 @t340)) % 0.62/0.81 (define @t343 () (tptp.multiply @t231 tptp.sk_c6)) % 0.62/0.81 (define @t344 () (tptp.multiply @t310 @t343)) % 0.62/0.81 (define @t345 () (= (tptp.multiply @t332 tptp.sk_c6) @t344)) % 0.62/0.81 (define @t346 () (tptp.multiply @t325 @t220)) % 0.62/0.81 (define @t347 () (= @t346 (tptp.multiply tptp.sk_c6 @t312))) % 0.62/0.81 (define @t348 () (tptp.multiply tptp.sk_c6 @t326)) % 0.62/0.81 (define @t349 () (= (tptp.multiply (tptp.multiply tptp.sk_c6 @t203) @t187) @t348)) % 0.62/0.81 (define @t350 () (tptp.multiply @t265 @t36)) % 0.62/0.81 (define @t351 () (tptp.multiply tptp.sk_c6 @t181)) % 0.62/0.81 (define @t352 () (tptp.multiply tptp.sk_c6 @t304)) % 0.62/0.81 (define @t353 () (tptp.multiply tptp.sk_c5 @t304)) % 0.62/0.81 (define @t354 () (tptp.multiply tptp.sk_c5 @t187)) % 0.62/0.81 (define @t355 () (and @t90 @t263 @t264 @t193 @t189 @t225 @t91 @t96 @t200 @t317 @t102 @t320 @t166 @t163 @t202 @t322 @t324 @t180 @t327 @t329 @t330 @t183 @t333 @t309 @t335 @t208 @t336 @t106 @t339 @t342 @t108 @t295 @t345 @t347 @t349 @t315)) % 0.62/0.81 (define @t356 () (not @t330)) % 0.62/0.81 (define @t357 () (not @t327)) % 0.62/0.81 (define @t358 () (@list true)) % 0.62/0.81 (define @t359 () (@list @t168)) % 0.62/0.81 (define @t360 () (tptp.multiply @t203 tptp.sk_c6)) % 0.62/0.81 (define @t361 () (= @t360 @t192)) % 0.62/0.81 (define @t362 () (@list tptp.sk_c6 @t187 tptp.sk_c6)) % 0.62/0.81 (define @t363 () (= @t192 @t360)) % 0.62/0.81 (define @t364 () (tptp.multiply tptp.sk_c1 @t360)) % 0.62/0.81 (define @t365 () (tptp.multiply @t204 tptp.sk_c6)) % 0.62/0.81 (define @t366 () (= @t365 @t364)) % 0.62/0.81 (define @t367 () (tptp.multiply tptp.sk_c6 @t14)) % 0.62/0.81 (define @t368 () (= tptp.sk_c7 @t191)) % 0.62/0.81 (define @t369 () (and @t90 @t81 @t193 @t91 @t96 @t363 @t102 @t76 @t166 @t163 @t202 @t180 @t183 @t206 @t106 @t108 @t279 @t366)) % 0.62/0.81 (define @t370 () (not @t366)) % 0.62/0.81 (define @t371 () (not @t363)) % 0.62/0.81 (define @t372 () (not @t368)) % 0.62/0.81 (define @t373 () (or @t372 @t190)) % 0.62/0.81 (define @t374 () (tptp.multiply @t191 tptp.identity)) % 0.62/0.81 (define @t375 () (tptp.multiply @t374 @t187)) % 0.62/0.81 (define @t376 () (= @t375 (tptp.multiply @t191 @t201))) % 0.62/0.81 (define @t377 () (not @t376)) % 0.62/0.81 (define @t378 () (tptp.multiply @t187 @t203)) % 0.62/0.81 (define @t379 () (tptp.multiply @t201 @t203)) % 0.62/0.81 (define @t380 () (= @t379 (tptp.multiply tptp.identity @t378))) % 0.62/0.81 (define @t381 () (not @t380)) % 0.62/0.81 (define @t382 () (tptp.multiply @t103 @t191)) % 0.62/0.81 (define @t383 () (tptp.multiply @t293 @t382)) % 0.62/0.81 (define @t384 () (tptp.multiply @t294 @t191)) % 0.62/0.81 (define @t385 () (= @t384 @t383)) % 0.62/0.81 (define @t386 () (not @t385)) % 0.62/0.81 (define @t387 () (tptp.multiply @t265 @t104)) % 0.62/0.81 (define @t388 () (= (tptp.multiply @t350 @t103) @t387)) % 0.62/0.81 (define @t389 () (not @t388)) % 0.62/0.81 (define @t390 () (tptp.multiply tptp.sk_c1 @t36)) % 0.62/0.81 (define @t391 () (tptp.multiply @t390 @t103)) % 0.62/0.81 (define @t392 () (= @t391 (tptp.multiply tptp.sk_c1 @t104))) % 0.62/0.81 (define @t393 () (not @t392)) % 0.62/0.81 (define @t394 () (tptp.multiply @t103 tptp.sk_c7)) % 0.62/0.81 (define @t395 () (tptp.multiply @t104 tptp.sk_c7)) % 0.62/0.81 (define @t396 () (= @t395 (tptp.multiply @t36 @t394))) % 0.62/0.81 (define @t397 () (not @t396)) % 0.62/0.81 (define @t398 () (tptp.multiply @t191 @t187)) % 0.62/0.81 (define @t399 () (= @t398 @t378)) % 0.62/0.81 (define @t400 () (not @t399)) % 0.62/0.81 (define @t401 () (tptp.multiply @t187 @t192)) % 0.62/0.81 (define @t402 () (tptp.multiply @t191 @t191)) % 0.62/0.81 (define @t403 () (= @t402 @t401)) % 0.62/0.81 (define @t404 () (not @t403)) % 0.62/0.81 (define @t405 () (tptp.inverse @t265)) % 0.62/0.81 (define @t406 () (= tptp.sk_c6 @t405)) % 0.62/0.81 (define @t407 () (not @t406)) % 0.62/0.81 (define @t408 () (tptp.multiply tptp.sk_c5 @t394)) % 0.62/0.81 (define @t409 () (and @t407 @t406)) % 0.62/0.81 (assume @p1 @t4) % 0.62/0.81 (assume @p2 @t6) % 0.62/0.81 (assume @p3 @t9) % 0.62/0.81 (assume @p4 @t11) % 0.62/0.81 (assume @p5 @t16) % 0.62/0.81 (assume @p6 @t19) % 0.62/0.81 (assume @p7 @t22) % 0.62/0.81 (assume @p8 @t25) % 0.62/0.81 (assume @p9 @t28) % 0.62/0.81 (assume @p10 @t31) % 0.62/0.81 (assume @p11 @t32) % 0.62/0.81 (assume @p12 @t33) % 0.62/0.81 (assume @p13 @t34) % 0.62/0.81 (assume @p14 @t35) % 0.62/0.81 (assume @p15 @t38) % 0.62/0.81 (assume @p16 @t39) % 0.62/0.81 (assume @p17 (or @t37 @t21)) % 0.62/0.81 (assume @p18 (or @t37 @t24)) % 0.62/0.81 (assume @p19 (or @t37 @t27)) % 0.62/0.81 (assume @p20 @t42) % 0.62/0.81 (assume @p21 @t43) % 0.62/0.81 (assume @p22 (or @t41 @t21)) % 0.62/0.81 (assume @p23 (or @t41 @t24)) % 0.62/0.81 (assume @p24 (or @t41 @t27)) % 0.62/0.81 (assume @p25 @t67) % 0.62/0.81 (assume-push @p2607 @t71) % 0.62/0.81 (step @p27 :rule instantiate :premises (@p2607) :args ((@list @t12))) % 0.62/0.81 (step-pop @p2608 :rule scope :premises (@p27)) % 0.62/0.81 (step @p28 :rule process_scope :premises (@p2608) :args (@t78)) % 0.62/0.81 (step @p30 :rule implies_elim :premises (@p28)) % 0.62/0.81 (assume-push @p2609 @t71) % 0.62/0.81 (step @p32 :rule instantiate :premises (@p2609) :args ((@list tptp.sk_c1))) % 0.62/0.81 (step-pop @p2610 :rule scope :premises (@p32)) % 0.62/0.81 (step @p33 :rule process_scope :premises (@p2610) :args (@t83)) % 0.62/0.81 (step @p35 :rule implies_elim :premises (@p33)) % 0.62/0.81 (step @p36 :rule eq-symm :args (@t17 tptp.sk_c5)) % 0.62/0.81 (step @p37 :rule eq-symm :args (@t29 tptp.sk_c6)) % 0.62/0.81 (step @p38 :rule nary_cong :premises (@p37 @p36) :args (@t32)) % 0.62/0.81 (step @p39 :rule eq_resolve :premises (@p11 @p38)) % 0.62/0.81 (step @p40 :rule reordering :premises (@p39) :args ((or @t84 @t79))) % 0.62/0.81 (step @p41 :rule eq-symm :args (@t20 tptp.sk_c5)) % 0.62/0.81 (step @p42 :rule nary_cong :premises (@p37 @p41) :args (@t33)) % 0.62/0.81 (step @p43 :rule eq_resolve :premises (@p12 @p42)) % 0.62/0.81 (step @p44 :rule reordering :premises (@p43) :args ((or @t85 @t79))) % 0.62/0.81 (step @p45 :rule eq-symm :args (@t23 tptp.sk_c4)) % 0.62/0.81 (step @p46 :rule nary_cong :premises (@p37 @p45) :args (@t34)) % 0.62/0.81 (step @p47 :rule eq_resolve :premises (@p13 @p46)) % 0.62/0.81 (step @p48 :rule reordering :premises (@p47) :args ((or @t86 @t79))) % 0.62/0.81 (step @p49 :rule eq-symm :args (@t26 tptp.sk_c6)) % 0.62/0.81 (step @p50 :rule nary_cong :premises (@p37 @p49) :args (@t35)) % 0.62/0.81 (step @p51 :rule eq_resolve :premises (@p14 @p50)) % 0.62/0.81 (step @p52 :rule reordering :premises (@p51) :args ((or @t87 @t79))) % 0.62/0.81 (step @p53 :rule symm :premises (@p4)) % 0.62/0.81 (step @p54 :rule eq-symm :args (@t5 tptp.identity)) % 0.62/0.81 (step @p55 :rule cong :premises (@p54) :args (@t6)) % 0.62/0.81 (step @p56 :rule eq_resolve :premises (@p2 @p55)) % 0.62/0.81 (step @p57 :rule instantiate :premises (@p56) :args (@t88)) % 0.62/0.81 (step @p58 :rule instantiate :premises (@p56) :args (@t89)) % 0.62/0.81 (step @p59 :rule instantiate :premises (@p56) :args ((@list tptp.sk_c3))) % 0.62/0.81 (step @p60 :rule instantiate :premises (@p56) :args ((@list tptp.sk_c2))) % 0.62/0.81 (step @p61 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c6 tptp.sk_c3 tptp.sk_c6))) % 0.62/0.81 (step @p62 :rule eq-symm :args (@t2 @t1)) % 0.62/0.81 (step @p63 :rule cong :premises (@p62) :args (@t4)) % 0.62/0.81 (step @p64 :rule eq_resolve :premises (@p1 @p63)) % 0.62/0.81 (step @p65 :rule instantiate :premises (@p64) :args (@t88)) % 0.62/0.81 (step @p66 :rule instantiate :premises (@p3) :args ((@list @t36 tptp.sk_c2 tptp.sk_c7))) % 0.62/0.81 (step @p67 :rule instantiate :premises (@p64) :args (@t89)) % 0.62/0.81 (assume-push @p2611 @t90) % 0.62/0.81 (assume-push @p2612 @t84) % 0.62/0.81 (assume-push @p2613 @t85) % 0.62/0.81 (assume-push @p2614 @t86) % 0.62/0.81 (assume-push @p2615 @t87) % 0.62/0.81 (assume-push @p2616 @t91) % 0.62/0.81 (assume-push @p2617 @t92) % 0.62/0.81 (assume-push @p2618 @t94) % 0.62/0.81 (assume-push @p2619 @t96) % 0.62/0.81 (assume-push @p2620 @t100) % 0.62/0.81 (assume-push @p2621 @t102) % 0.62/0.81 (assume-push @p2622 @t106) % 0.62/0.81 (assume-push @p2623 @t108) % 0.62/0.81 (assume-push @p2624 @t91) % 0.62/0.81 (assume-push @p2625 @t92) % 0.62/0.81 (assume-push @p2626 @t84) % 0.62/0.81 (assume-push @p2627 @t85) % 0.62/0.81 (assume-push @p2628 @t86) % 0.62/0.81 (assume-push @p2629 @t100) % 0.62/0.81 (assume-push @p2630 @t87) % 0.62/0.81 (assume-push @p2631 @t94) % 0.62/0.81 (assume-push @p2632 @t102) % 0.62/0.81 (assume-push 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@p2425 @p901)) % 0.62/0.82 (step @p2443 :rule cong :premises (@p727 @p2442) :args (@t204)) % 0.62/0.82 (step @p2444 :rule refl :args (@t203)) % 0.62/0.82 (step @p2445 :rule cong :premises (@p716 @p2444) :args (@t379)) % 0.62/0.82 (step @p2446 :rule symm :premises (@p2230)) % 0.62/0.82 (step @p2447 :rule symm :premises (@p2434)) % 0.62/0.82 (step @p2448 :rule cong :premises (@p2442 @p2447) :args ((tptp.multiply @t203 @t201))) % 0.62/0.82 (step @p2449 :rule cong :premises (@p2444 @p659) :args (@t326)) % 0.62/0.82 (step @p1965 :rule symm :premises (@p1775)) % 0.62/0.82 (step @p2450 :rule trans :premises (@p1965 @p2449 @p2448 @p2446 @p2445 @p2433 @p2432 @p2431 @p2430 @p2371 @p660 @p2443 @p2423 @p2421 @p2420 @p2415 @p2355 @p95 @p3796 @p717)) % 0.62/0.82 (step @p2451 :rule cong :premises (@p2450) :args ((tptp.inverse @t325))) % 0.62/0.82 (step @p2452 :rule symm :premises (@p2449)) % 0.62/0.82 (step @p2453 :rule symm :premises (@p2448)) % 0.62/0.82 (step @p2454 :rule symm :premises (@p2445)) % 0.62/0.82 (step @p2455 :rule symm :premises (@p2371)) % 0.62/0.82 (step @p721 :rule symm :premises (@p660)) % 0.62/0.82 (step @p2456 :rule symm :premises (@p2443)) % 0.62/0.82 (step @p2457 :rule cong :premises (@p727 @p2346) :args (@t209)) % 0.62/0.82 (step @p2458 :rule cong :premises (@p2370 @p592) :args (@t207)) % 0.62/0.82 (step @p2459 :rule trans :premises (@p661 @p2458 @p662 @p2457 @p2456 @p721 @p2455 @p2437 @p2231 @p2436 @p2225 @p2454 @p2230 @p2453 @p2452 @p1775)) % 0.62/0.82 (step @p2460 :rule cong :premises (@p2459) :args (@t162)) % 0.62/0.82 (step @p2461 :rule trans :premises (@p3798 @p2460 @p2451 @p2408)) % 0.62/0.82 (step-pop @p3858 :rule scope :premises (@p2461)) % 0.62/0.82 (step-pop @p3859 :rule scope :premises (@p3858)) % 0.62/0.82 (step-pop @p3860 :rule scope :premises (@p3859)) % 0.62/0.82 (step-pop @p3861 :rule scope :premises (@p3860)) % 0.62/0.82 (step-pop @p3862 :rule scope :premises (@p3861)) % 0.62/0.82 (step-pop @p3863 :rule scope :premises (@p3862)) % 0.62/0.82 (step-pop @p3864 :rule scope :premises (@p3863)) % 0.62/0.82 (step-pop @p3865 :rule scope :premises (@p3864)) % 0.62/0.82 (step-pop @p3866 :rule scope :premises (@p3865)) % 0.62/0.82 (step-pop @p3867 :rule scope :premises (@p3866)) % 0.62/0.82 (step-pop @p3868 :rule scope :premises (@p3867)) % 0.62/0.82 (step-pop @p3869 :rule scope :premises (@p3868)) % 0.62/0.82 (step-pop @p3870 :rule scope :premises (@p3869)) % 0.62/0.82 (step-pop @p3871 :rule scope :premises (@p3870)) % 0.62/0.82 (step-pop @p3872 :rule scope :premises (@p3871)) % 0.62/0.82 (step-pop @p3873 :rule scope :premises (@p3872)) % 0.62/0.82 (step-pop @p3874 :rule scope :premises (@p3873)) % 0.62/0.82 (step-pop @p3875 :rule scope :premises (@p3874)) % 0.62/0.82 (step-pop @p3876 :rule scope :premises (@p3875)) % 0.62/0.82 (step-pop @p3877 :rule scope :premises (@p3876)) % 0.62/0.82 (step-pop @p3878 :rule scope :premises (@p3877)) % 0.62/0.82 (step-pop @p3879 :rule scope :premises (@p3878)) % 0.62/0.82 (step-pop @p3880 :rule scope :premises (@p3879)) % 0.62/0.82 (step-pop @p3881 :rule scope :premises (@p3880)) % 0.62/0.82 (step-pop @p3882 :rule scope :premises (@p3881)) % 0.62/0.82 (step-pop @p3883 :rule scope :premises (@p3882)) % 0.62/0.82 (step-pop @p3884 :rule scope :premises (@p3883)) % 0.62/0.82 (step-pop @p3885 :rule scope :premises (@p3884)) % 0.62/0.82 (step-pop @p3886 :rule scope :premises (@p3885)) % 0.62/0.82 (step-pop @p3887 :rule scope :premises (@p3886)) % 0.62/0.82 (step-pop @p3888 :rule scope :premises (@p3887)) % 0.62/0.82 (step-pop @p3889 :rule scope :premises (@p3888)) % 0.62/0.82 (step-pop @p3890 :rule scope :premises (@p3889)) % 0.62/0.82 (step-pop @p3891 :rule scope :premises (@p3890)) % 0.62/0.82 (step-pop @p3892 :rule scope :premises (@p3891)) % 0.62/0.82 (step-pop @p3893 :rule scope :premises (@p3892)) % 0.62/0.82 (step-pop @p3894 :rule scope :premises (@p3893)) % 0.62/0.82 (step @p2462 :rule process_scope :premises (@p3894) :args (@t406)) % 0.62/0.82 (step @p2500 :rule and_intro :premises (@p2231 @p2229 @p3789 @p3796 @p2228 @p1491 @p2230 @p1318 @p660 @p57 @p3784 @p60 @p3786 @p658 @p67 @p3797 @p566 @p2227 @p2113 @p2112 @p2224 @p53 @p65 @p1777 @p659 @p3798 @p3785 @p1775 @p567 @p661 @p3788 @p2226 @p2225 @p66 @p1331 @p662 @p1330)) % 0.62/0.82 (step @p2501 :rule modus_ponens :premises (@p2500 @p2462)) % 0.62/0.82 (assume-push @p3895 @t76) % 0.62/0.82 (assume-push @p3896 @t279) % 0.62/0.82 (assume-push @p3897 @t90) % 0.62/0.82 (assume-push @p3898 @t106) % 0.62/0.82 (assume-push @p3899 @t96) % 0.62/0.82 (assume-push @p3900 @t81) % 0.62/0.82 (assume-push @p3901 @t127) % 0.62/0.82 (assume-push @p3902 @t91) % 0.62/0.82 (assume-push @p3903 @t102) % 0.62/0.82 (assume-push @p3904 @t163) % 0.62/0.82 (assume-push @p3905 @t166) % 0.62/0.82 (assume-push @p3906 @t180) % 0.62/0.82 (assume-push @p3907 @t183) % 0.62/0.82 (assume-push @p3908 @t264) % 0.62/0.82 (assume-push @p3909 @t108) % 0.62/0.82 (step @p2517 :rule false_intro :premises (@p3787)) % 0.62/0.82 (step @p2518 :rule symm :premises (@p3786)) % 0.62/0.82 (step @p95 :rule symm :premises (@p67)) % 0.62/0.82 (step @p96 :rule refl :args (tptp.sk_c7)) % 0.62/0.82 (step @p97 :rule symm :premises (@p60)) % 0.62/0.82 (step @p98 :rule cong :premises (@p97 @p96) :args (@t105)) % 0.62/0.82 (step @p99 :rule symm :premises (@p66)) % 0.62/0.82 (step @p100 :rule trans :premises (@p99 @p98 @p95)) % 0.62/0.82 (step @p103 :rule refl :args (tptp.sk_c6)) % 0.62/0.82 (step @p115 :rule cong :premises (@p103 @p100) :args (@t109)) % 0.62/0.82 (step @p588 :rule symm :premises (@p98)) % 0.62/0.82 (step @p2519 :rule symm :premises (@p3784)) % 0.62/0.82 (step @p2520 :rule trans :premises (@p2519 @p67 @p588 @p66)) % 0.62/0.82 (step @p2521 :rule cong :premises (@p103 @p2520) :args (@t367)) % 0.62/0.82 (step @p2522 :rule symm :premises (@p3797)) % 0.62/0.82 (step @p2523 :rule trans :premises (@p2522 @p3784)) % 0.62/0.82 (step @p2524 :rule cong :premises (@p103 @p2523) :args (@t173)) % 0.62/0.82 (step @p293 :rule symm :premises (@p65)) % 0.62/0.82 (step @p717 :rule symm :premises (@p57)) % 0.62/0.82 (step @p2525 :rule trans :premises (@p2519 @p3796 @p717)) % 0.62/0.82 (step @p2526 :rule symm :premises (@p2520)) % 0.62/0.82 (step @p113 :rule symm :premises (@p100)) % 0.62/0.82 (step @p2527 :rule trans :premises (@p113 @p2526 @p2525)) % 0.62/0.82 (step @p2528 :rule cong :premises (@p2527 @p103) :args (@t274)) % 0.62/0.82 (step @p2529 :rule trans :premises (@p2528 @p293)) % 0.62/0.82 (step @p592 :rule refl :args (@t161)) % 0.62/0.82 (step @p2530 :rule symm :premises (@p3798)) % 0.62/0.82 (step @p2531 :rule cong :premises (@p2530 @p592) :args (@t179)) % 0.62/0.82 (step @p2532 :rule trans :premises (@p566 @p2531)) % 0.62/0.82 (step @p2533 :rule cong :premises (@p2532 @p2529) :args (@t278)) % 0.62/0.82 (step @p2534 :rule symm :premises (@p2528)) % 0.62/0.82 (step @p2535 :rule trans :premises (@p65 @p2534 @p1330 @p2533 @p567 @p2524 @p2521 @p115 @p4)) % 0.62/0.82 (step @p1403 :rule refl :args (tptp.sk_c2)) % 0.62/0.82 (step @p2536 :rule cong :premises (@p1403 @p2535) :args (@t265)) % 0.62/0.82 (step @p2537 :rule trans :premises (@p2536 @p2518)) % 0.62/0.82 (step @p2538 :rule cong :premises (@p2537) :args (@t405)) % 0.62/0.82 (step @p2539 :rule cong :premises (@p2535 @p2538) :args (@t406)) % 0.62/0.82 (step @p2540 :rule trans :premises (@p2539 @p2517)) % 0.62/0.82 (step @p2541 :rule false_elim :premises (@p2540)) % 0.62/0.82 (step-pop @p3910 :rule scope :premises (@p2541)) % 0.62/0.82 (step-pop @p3911 :rule scope :premises (@p3910)) % 0.62/0.82 (step-pop @p3912 :rule scope :premises (@p3911)) % 0.62/0.82 (step-pop @p3913 :rule scope :premises (@p3912)) % 0.62/0.82 (step-pop @p3914 :rule scope :premises (@p3913)) % 0.62/0.82 (step-pop @p3915 :rule scope :premises (@p3914)) % 0.62/0.82 (step-pop @p3916 :rule scope :premises (@p3915)) % 0.62/0.82 (step-pop @p3917 :rule scope :premises (@p3916)) % 0.62/0.82 (step-pop @p3918 :rule scope :premises (@p3917)) % 0.62/0.82 (step-pop @p3919 :rule scope :premises (@p3918)) % 0.62/0.82 (step-pop @p3920 :rule scope :premises (@p3919)) % 0.62/0.82 (step-pop @p3921 :rule scope :premises (@p3920)) % 0.62/0.82 (step-pop @p3922 :rule scope :premises (@p3921)) % 0.62/0.82 (step-pop @p3923 :rule scope :premises (@p3922)) % 0.62/0.82 (step-pop @p3924 :rule scope :premises (@p3923)) % 0.62/0.82 (step @p2542 :rule process_scope :premises (@p3924) :args (@t407)) % 0.62/0.82 (step @p2558 :rule and_intro :premises (@p3796 @p1330 @p53 @p66 @p60 @p3784 @p3787 @p57 @p65 @p3798 @p3797 @p566 @p567 @p3786 @p67)) % 0.62/0.82 (step @p2559 :rule modus_ponens :premises (@p2558 @p2542)) % 0.62/0.82 (step @p2560 :rule and_intro :premises (@p2559 @p2501)) % 0.62/0.82 (step-pop @p3925 :rule scope :premises (@p2560)) % 0.62/0.82 (step-pop @p3926 :rule scope :premises (@p3925)) % 0.62/0.82 (step-pop @p3927 :rule scope :premises (@p3926)) % 0.62/0.82 (step-pop @p3928 :rule scope :premises (@p3927)) % 0.62/0.82 (step-pop @p3929 :rule scope :premises (@p3928)) % 0.62/0.82 (step-pop @p3930 :rule scope :premises (@p3929)) % 0.62/0.82 (step-pop @p3931 :rule scope :premises (@p3930)) % 0.62/0.82 (step-pop @p3932 :rule scope :premises (@p3931)) % 0.62/0.82 (step-pop @p3933 :rule scope :premises (@p3932)) % 0.62/0.82 (step-pop @p3934 :rule scope :premises (@p3933)) % 0.62/0.82 (step-pop @p3935 :rule scope :premises (@p3934)) % 0.62/0.82 (step-pop @p3936 :rule scope :premises (@p3935)) % 0.62/0.82 (step-pop @p3937 :rule scope :premises (@p3936)) % 0.62/0.82 (step-pop @p3938 :rule scope :premises (@p3937)) % 0.62/0.82 (step-pop @p3939 :rule scope :premises (@p3938)) % 0.62/0.82 (step-pop @p3940 :rule scope :premises (@p3939)) % 0.62/0.82 (step-pop @p3941 :rule scope :premises (@p3940)) % 0.62/0.82 (step-pop @p3942 :rule scope :premises (@p3941)) % 0.62/0.82 (step-pop @p3943 :rule scope :premises (@p3942)) % 0.62/0.82 (step-pop @p3944 :rule scope :premises (@p3943)) % 0.62/0.82 (step-pop @p3945 :rule scope :premises (@p3944)) % 0.62/0.82 (step-pop @p3946 :rule scope :premises (@p3945)) % 0.62/0.82 (step-pop @p3947 :rule scope :premises (@p3946)) % 0.62/0.82 (step-pop @p3948 :rule scope :premises (@p3947)) % 0.62/0.82 (step-pop @p3949 :rule scope :premises (@p3948)) % 0.62/0.82 (step-pop @p3950 :rule scope :premises (@p3949)) % 0.62/0.82 (step-pop @p3951 :rule scope :premises (@p3950)) % 0.62/0.82 (step-pop @p3952 :rule scope :premises (@p3951)) % 0.62/0.82 (step-pop @p3953 :rule scope :premises (@p3952)) % 0.62/0.82 (step-pop @p3954 :rule scope :premises (@p3953)) % 0.62/0.82 (step-pop @p3955 :rule scope :premises (@p3954)) % 0.62/0.82 (step-pop @p3956 :rule scope :premises (@p3955)) % 0.62/0.82 (step-pop @p3957 :rule scope :premises (@p3956)) % 0.62/0.82 (step-pop @p3958 :rule scope :premises (@p3957)) % 0.62/0.82 (step-pop @p3959 :rule scope :premises (@p3958)) % 0.62/0.82 (step-pop @p3960 :rule scope :premises (@p3959)) % 0.62/0.82 (step-pop @p3961 :rule scope :premises (@p3960)) % 0.62/0.82 (step-pop @p3962 :rule scope :premises (@p3961)) % 0.62/0.82 (step @p2561 :rule process_scope :premises (@p3962) :args (@t409)) % 0.62/0.82 (step @p2600 :rule implies_elim :premises (@p2561)) % 0.62/0.82 (step @p2601 :rule resolution :premises (@p2600 @p2259) :args (true @t409)) % 0.62/0.82 (step @p2602 :rule not_and :premises (@p2601)) % 0.62/0.82 (step @p2603 :rule eq_resolve :premises (@p2602 @p2251)) % 0.62/0.82 (step @p2604 :rule reordering :premises (@p2603) :args ((or @t124 @t123 @t82 @t289 @t288 @t194 @t190 @t118 @t115 @t219 @t287 @t371 @t77 @t113 @t167 @t164 @t218 @t186 @t357 @t404 @t356 @t185 @t217 @t400 @t216 @t112 @t215 @t111 @t286 @t397 @t285 @t393 @t297 @t389 @t370 @t386 @t381 @t377))) % 0.62/0.82 (step @p2605 :rule chain_m_resolution :premises (@p2604 @p2096 @p2231 @p2230 @p2229 @p2113 @p493 @p2228 @p1491 @p2227 @p1331 @p2226 @p1330 @p67 @p662 @p66 @p661 @p2225 @p660 @p567 @p1777 @p2224 @p1775 @p566 @p659 @p65 @p2112 @p1318 @p658 @p60 @p57 @p53 @p1686 @p1683 @p1680 @p2223 @p2218 @p2216 @p2096 @p2113 @p493 @p1330 @p67 @p66 @p660 @p567 @p566 @p659 @p65 @p2112 @p60 @p57 @p53 @p640 @p645 @p634 @p565 @p560 @p558 @p67 @p66 @p60 @p53) :args (@t168 (@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 true true true false false false false false false false false false false false false false false false false false false true true true false false false false false) (@list @t76 @t376 @t380 @t385 @t366 @t81 @t388 @t295 @t392 @t283 @t396 @t279 @t108 @t211 @t106 @t208 @t399 @t206 @t183 @t330 @t403 @t327 @t180 @t202 @t102 @t363 @t276 @t200 @t96 @t91 @t90 @t264 @t263 @t124 @t71 @t373 @t368 @t76 @t366 @t81 @t279 @t108 @t106 @t206 @t183 @t180 @t202 @t102 @t363 @t96 @t91 @t90 @t189 @t193 @t195 @t146 @t177 @t174 @t108 @t106 @t96 @t90))) % 0.62/0.82 (step @p2606 false :rule chain_m_resolution :premises (@p2605 @p2103 @p2102) :args (false (@list false false) (@list @t163 @t166))) % 0.62/0.82 ) % 0.62/0.82 % SZS output end Proof % 0.62/0.82 % cvc5 exiting %------------------------------------------------------------------------------