%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP235-1 : TPTP v9.2.1. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 08:20:16 AM UTC 2026 % Result : Unsatisfiable 7.63s 7.80s % Output : Proof 7.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP235-1 : TPTP v9.2.1. Released v2.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n007.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 : Tue Jun 2 00:58:11 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 7.63/7.80 % SZS status Unsatisfiable % 7.63/7.80 % SZS output start Proof % 7.63/7.83 ( % 7.63/7.83 (declare-sort $$unsorted 0) % 7.63/7.83 (declare-const tptp.sk_c1 $$unsorted) % 7.63/7.83 (declare-const tptp.sk_c2 $$unsorted) % 7.63/7.83 (declare-const tptp.sk_c6 $$unsorted) % 7.63/7.83 (declare-const tptp.sk_c7 $$unsorted) % 7.63/7.83 (declare-const tptp.sk_c5 $$unsorted) % 7.63/7.83 (declare-const tptp.sk_c4 $$unsorted) % 7.63/7.83 (declare-const tptp.sk_c8 $$unsorted) % 7.63/7.83 (declare-const tptp.sk_c3 $$unsorted) % 7.63/7.83 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 7.63/7.83 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 7.63/7.83 (declare-const tptp.identity $$unsorted) % 7.63/7.83 (define @t1 () (@var "X" $$unsorted)) % 7.63/7.83 (define @t2 () (tptp.multiply tptp.identity @t1)) % 7.63/7.83 (define @t3 () (@list @t1)) % 7.63/7.83 (define @t4 () (forall @t3 (= @t2 @t1))) % 7.63/7.83 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 7.63/7.83 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 7.63/7.83 (define @t7 () (@var "Z" $$unsorted)) % 7.63/7.83 (define @t8 () (@var "Y" $$unsorted)) % 7.63/7.83 (define @t9 () (forall (@list @t1 @t8 @t7) (= (tptp.multiply (tptp.multiply @t1 @t8) @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 7.63/7.83 (define @t10 () (tptp.inverse tptp.sk_c4)) % 7.63/7.83 (define @t11 () (= @t10 tptp.sk_c8)) % 7.63/7.83 (define @t12 () (tptp.inverse tptp.sk_c8)) % 7.63/7.83 (define @t13 () (= @t12 tptp.sk_c7)) % 7.63/7.83 (define @t14 () (or @t13 @t11)) % 7.63/7.83 (define @t15 () (tptp.multiply tptp.sk_c4 tptp.sk_c7)) % 7.63/7.83 (define @t16 () (= @t15 tptp.sk_c8)) % 7.63/7.83 (define @t17 () (or @t13 @t16)) % 7.63/7.83 (define @t18 () (tptp.multiply tptp.sk_c8 tptp.sk_c6)) % 7.63/7.83 (define @t19 () (= @t18 tptp.sk_c7)) % 7.63/7.83 (define @t20 () (or @t13 @t19)) % 7.63/7.83 (define @t21 () (tptp.multiply tptp.sk_c5 tptp.sk_c8)) % 7.63/7.83 (define @t22 () (= @t21 tptp.sk_c6)) % 7.63/7.83 (define @t23 () (or @t13 @t22)) % 7.63/7.83 (define @t24 () (tptp.inverse tptp.sk_c5)) % 7.63/7.83 (define @t25 () (= @t24 tptp.sk_c8)) % 7.63/7.83 (define @t26 () (or @t13 @t25)) % 7.63/7.83 (define @t27 () (tptp.inverse tptp.sk_c1)) % 7.63/7.83 (define @t28 () (= @t27 tptp.sk_c8)) % 7.63/7.83 (define @t29 () (or @t28 @t25)) % 7.63/7.83 (define @t30 () (tptp.multiply tptp.sk_c1 tptp.sk_c7)) % 7.63/7.83 (define @t31 () (= @t30 tptp.sk_c8)) % 7.63/7.83 (define @t32 () (or @t31 @t25)) % 7.63/7.83 (define @t33 () (tptp.multiply tptp.sk_c2 tptp.sk_c3)) % 7.63/7.83 (define @t34 () (= @t33 tptp.sk_c7)) % 7.63/7.83 (define @t35 () (or @t34 @t11)) % 7.63/7.83 (define @t36 () (or @t34 @t16)) % 7.63/7.83 (define @t37 () (or @t34 @t19)) % 7.63/7.83 (define @t38 () (or @t34 @t22)) % 7.63/7.83 (define @t39 () (or @t34 @t25)) % 7.63/7.83 (define @t40 () (tptp.inverse tptp.sk_c2)) % 7.63/7.83 (define @t41 () (= @t40 tptp.sk_c3)) % 7.63/7.83 (define @t42 () (or @t41 @t11)) % 7.63/7.83 (define @t43 () (or @t41 @t16)) % 7.63/7.83 (define @t44 () (or @t41 @t19)) % 7.63/7.83 (define @t45 () (or @t41 @t22)) % 7.63/7.83 (define @t46 () (or @t41 @t25)) % 7.63/7.83 (define @t47 () (tptp.multiply tptp.sk_c3 tptp.sk_c8)) % 7.63/7.83 (define @t48 () (= @t47 tptp.sk_c7)) % 7.63/7.83 (define @t49 () (or @t48 @t11)) % 7.63/7.83 (define @t50 () (or @t48 @t16)) % 7.63/7.83 (define @t51 () (or @t48 @t19)) % 7.63/7.83 (define @t52 () (or @t48 @t22)) % 7.63/7.83 (define @t53 () (or @t48 @t25)) % 7.63/7.83 (define @t54 () (@var "X3" $$unsorted)) % 7.63/7.83 (define @t55 () (tptp.inverse @t54)) % 7.63/7.83 (define @t56 () (not (= @t55 tptp.sk_c8))) % 7.63/7.83 (define @t57 () (@var "X2" $$unsorted)) % 7.63/7.83 (define @t58 () (tptp.multiply @t54 tptp.sk_c8)) % 7.63/7.83 (define @t59 () (not (= @t58 @t57))) % 7.63/7.83 (define @t60 () (tptp.multiply tptp.sk_c8 @t57)) % 7.63/7.83 (define @t61 () (not (= @t60 tptp.sk_c7))) % 7.63/7.83 (define @t62 () (@var "X1" $$unsorted)) % 7.63/7.83 (define @t63 () (tptp.multiply @t62 tptp.sk_c7)) % 7.63/7.83 (define @t64 () (not (= @t63 tptp.sk_c8))) % 7.63/7.83 (define @t65 () (tptp.inverse @t62)) % 7.63/7.83 (define @t66 () (not (= @t65 tptp.sk_c8))) % 7.63/7.83 (define @t67 () (@var "X6" $$unsorted)) % 7.63/7.83 (define @t68 () (tptp.multiply @t67 tptp.sk_c8)) % 7.63/7.83 (define @t69 () (not (= @t68 tptp.sk_c7))) % 7.63/7.83 (define @t70 () (@var "X5" $$unsorted)) % 7.63/7.83 (define @t71 () (tptp.inverse @t70)) % 7.63/7.83 (define @t72 () (not (= @t71 @t67))) % 7.63/7.83 (define @t73 () (tptp.multiply @t70 @t67)) % 7.63/7.83 (define @t74 () (not (= @t73 tptp.sk_c7))) % 7.63/7.83 (define @t75 () (@var "X4" $$unsorted)) % 7.63/7.83 (define @t76 () (tptp.multiply @t75 tptp.sk_c7)) % 7.63/7.83 (define @t77 () (not (= @t76 tptp.sk_c8))) % 7.63/7.83 (define @t78 () (tptp.inverse @t75)) % 7.63/7.83 (define @t79 () (not (= @t78 tptp.sk_c8))) % 7.63/7.83 (define @t80 () (not @t13)) % 7.63/7.83 (define @t81 () (or @t80 @t79 @t77 @t74 @t72 @t69 @t66 @t64 @t61 @t59 @t56)) % 7.63/7.83 (define @t82 () (@list @t75 @t70 @t67 @t62 @t57 @t54)) % 7.63/7.83 (define @t83 () (forall @t82 @t81)) % 7.63/7.83 (define @t84 () (@list tptp.sk_c8)) % 7.63/7.83 (define @t85 () (not (= tptp.sk_c7 (tptp.multiply @t71 tptp.sk_c8)))) % 7.63/7.83 (define @t86 () (not (= tptp.sk_c7 (tptp.multiply @t70 @t71)))) % 7.63/7.83 (define @t87 () (or @t86 @t85)) % 7.63/7.83 (define @t88 () (@list @t70)) % 7.63/7.83 (define @t89 () (forall @t88 @t87)) % 7.63/7.83 (define @t90 () (@quantifiers_skolemize @t89 0)) % 7.63/7.83 (define @t91 () (tptp.inverse @t90)) % 7.63/7.83 (define @t92 () (@list @t91)) % 7.63/7.83 (define @t93 () (@list @t12)) % 7.63/7.83 (define @t94 () (= tptp.sk_c8 @t15)) % 7.63/7.83 (define @t95 () (not @t94)) % 7.63/7.83 (define @t96 () (= tptp.sk_c8 @t10)) % 7.63/7.83 (define @t97 () (not @t96)) % 7.63/7.83 (define @t98 () (or @t97 @t95)) % 7.63/7.83 (define @t99 () (not @t98)) % 7.63/7.83 (define @t100 () (not (= tptp.sk_c8 @t76))) % 7.63/7.83 (define @t101 () (not (= tptp.sk_c8 @t78))) % 7.63/7.83 (define @t102 () (or @t101 @t100)) % 7.63/7.83 (define @t103 () (forall (@list @t75) @t102)) % 7.63/7.83 (define @t104 () (@list tptp.sk_c4)) % 7.63/7.83 (define @t105 () (@quantifiers_skolemize @t103 0)) % 7.63/7.83 (define @t106 () (tptp.multiply @t105 tptp.sk_c7)) % 7.63/7.83 (define @t107 () (= tptp.sk_c8 @t106)) % 7.63/7.83 (define @t108 () (not @t107)) % 7.63/7.83 (define @t109 () (tptp.inverse @t105)) % 7.63/7.83 (define @t110 () (= tptp.sk_c8 @t109)) % 7.63/7.83 (define @t111 () (not @t110)) % 7.63/7.83 (define @t112 () (or @t111 @t108)) % 7.63/7.83 (define @t113 () (not @t112)) % 7.63/7.83 (define @t114 () (not @t103)) % 7.63/7.83 (define @t115 () (= tptp.sk_c7 @t18)) % 7.63/7.83 (define @t116 () (= tptp.sk_c6 @t21)) % 7.63/7.83 (define @t117 () (tptp.multiply tptp.sk_c8 @t21)) % 7.63/7.83 (define @t118 () (= tptp.sk_c7 @t117)) % 7.63/7.83 (define @t119 () (and @t115 @t116)) % 7.63/7.83 (define @t120 () (@list tptp.sk_c5)) % 7.63/7.83 (define @t121 () (= tptp.sk_c8 @t24)) % 7.63/7.83 (define @t122 () (tptp.multiply @t24 tptp.sk_c5)) % 7.63/7.83 (define @t123 () (= tptp.identity @t122)) % 7.63/7.83 (define @t124 () (tptp.multiply @t91 @t90)) % 7.63/7.83 (define @t125 () (= tptp.identity @t124)) % 7.63/7.83 (define @t126 () (tptp.multiply tptp.sk_c8 tptp.sk_c5)) % 7.63/7.83 (define @t127 () (tptp.multiply @t126 tptp.sk_c8)) % 7.63/7.83 (define @t128 () (= @t127 @t117)) % 7.63/7.83 (define @t129 () (tptp.multiply tptp.identity tptp.sk_c8)) % 7.63/7.83 (define @t130 () (= tptp.sk_c8 @t129)) % 7.63/7.83 (define @t131 () (tptp.multiply @t105 tptp.sk_c8)) % 7.63/7.83 (define @t132 () (= tptp.sk_c7 (tptp.multiply @t105 @t109))) % 7.63/7.83 (define @t133 () (and @t115 @t116 @t121 @t110 @t107 @t123 @t125 @t128 @t130)) % 7.63/7.83 (define @t134 () (not @t121)) % 7.63/7.83 (define @t135 () (not @t118)) % 7.63/7.83 (define @t136 () (or @t135 @t134)) % 7.63/7.83 (define @t137 () (not (= tptp.sk_c8 @t55))) % 7.63/7.83 (define @t138 () (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 @t58)))) % 7.63/7.83 (define @t139 () (or @t138 @t137)) % 7.63/7.83 (define @t140 () (@list @t54)) % 7.63/7.83 (define @t141 () (forall @t140 @t139)) % 7.63/7.83 (define @t142 () (@quantifiers_skolemize @t141 0)) % 7.63/7.83 (define @t143 () (tptp.multiply @t142 tptp.sk_c8)) % 7.63/7.83 (define @t144 () (tptp.multiply tptp.sk_c8 @t143)) % 7.63/7.83 (define @t145 () (= tptp.sk_c7 @t144)) % 7.63/7.83 (define @t146 () (not @t145)) % 7.63/7.83 (define @t147 () (or @t146 (not (= tptp.sk_c8 (tptp.inverse @t142))))) % 7.63/7.83 (define @t148 () (not @t147)) % 7.63/7.83 (define @t149 () (not @t141)) % 7.63/7.83 (define @t150 () (@list @t105)) % 7.63/7.83 (define @t151 () (tptp.multiply @t142 @t105)) % 7.63/7.83 (define @t152 () (tptp.multiply @t105 @t91)) % 7.63/7.83 (define @t153 () (tptp.multiply @t12 @t152)) % 7.63/7.83 (define @t154 () (tptp.multiply tptp.sk_c7 @t151)) % 7.63/7.83 (define @t155 () (tptp.multiply tptp.sk_c7 tptp.sk_c5)) % 7.63/7.83 (define @t156 () (tptp.multiply @t155 @t105)) % 7.63/7.83 (define @t157 () (tptp.multiply tptp.sk_c5 @t105)) % 7.63/7.83 (define @t158 () (tptp.multiply tptp.sk_c7 @t157)) % 7.63/7.83 (define @t159 () (= @t156 @t158)) % 7.63/7.83 (define @t160 () (@list tptp.sk_c7 tptp.sk_c5 @t105)) % 7.63/7.83 (define @t161 () (= @t158 @t156)) % 7.63/7.83 (define @t162 () (@list false)) % 7.63/7.83 (define @t163 () (@list @t9)) % 7.63/7.83 (define @t164 () (tptp.multiply @t153 @t154)) % 7.63/7.83 (define @t165 () (tptp.multiply tptp.sk_c8 tptp.sk_c8)) % 7.63/7.83 (define @t166 () (tptp.multiply @t143 tptp.sk_c6)) % 7.63/7.83 (define @t167 () (tptp.multiply @t12 tptp.sk_c7)) % 7.63/7.83 (define @t168 () (tptp.multiply @t167 @t151)) % 7.63/7.83 (define @t169 () (tptp.multiply @t12 @t154)) % 7.63/7.83 (define @t170 () (= @t168 @t169)) % 7.63/7.83 (define @t171 () (@list @t12 tptp.sk_c7 @t151)) % 7.63/7.83 (define @t172 () (= @t169 @t168)) % 7.63/7.83 (define @t173 () (tptp.multiply tptp.sk_c7 @t105)) % 7.63/7.83 (define @t174 () (tptp.multiply @t91 tptp.sk_c8)) % 7.63/7.83 (define @t175 () (= tptp.sk_c7 @t174)) % 7.63/7.83 (define @t176 () (tptp.multiply @t12 tptp.sk_c8)) % 7.63/7.83 (define @t177 () (= tptp.identity @t176)) % 7.63/7.83 (define @t178 () (= tptp.identity (tptp.multiply @t10 tptp.sk_c4))) % 7.63/7.83 (define @t179 () (tptp.multiply @t109 @t105)) % 7.63/7.83 (define @t180 () (= tptp.identity @t179)) % 7.63/7.83 (define @t181 () (tptp.multiply tptp.sk_c7 @t143)) % 7.63/7.83 (define @t182 () (tptp.multiply @t106 @t143)) % 7.63/7.83 (define @t183 () (= @t182 (tptp.multiply @t105 @t181))) % 7.63/7.83 (define @t184 () (tptp.multiply tptp.sk_c5 @t106)) % 7.63/7.83 (define @t185 () (tptp.multiply @t157 tptp.sk_c7)) % 7.63/7.83 (define @t186 () (= @t185 @t184)) % 7.63/7.83 (define @t187 () (tptp.multiply @t142 @t106)) % 7.63/7.83 (define @t188 () (tptp.multiply @t151 tptp.sk_c7)) % 7.63/7.83 (define @t189 () (= @t188 @t187)) % 7.63/7.83 (define @t190 () (tptp.multiply @t105 @t174)) % 7.63/7.83 (define @t191 () (tptp.multiply @t152 tptp.sk_c8)) % 7.63/7.83 (define @t192 () (= @t191 @t190)) % 7.63/7.83 (define @t193 () (tptp.multiply tptp.sk_c7 @t188)) % 7.63/7.83 (define @t194 () (tptp.multiply @t154 tptp.sk_c7)) % 7.63/7.83 (define @t195 () (= @t194 @t193)) % 7.63/7.83 (define @t196 () (tptp.multiply @t12 @t191)) % 7.63/7.83 (define @t197 () (tptp.multiply @t153 tptp.sk_c8)) % 7.63/7.83 (define @t198 () (= @t197 @t196)) % 7.63/7.83 (define @t199 () (tptp.multiply @t153 @t165)) % 7.63/7.83 (define @t200 () (tptp.multiply @t197 tptp.sk_c8)) % 7.63/7.83 (define @t201 () (= @t200 @t199)) % 7.63/7.83 (define @t202 () (tptp.multiply @t194 tptp.sk_c5)) % 7.63/7.83 (define @t203 () (= @t202 (tptp.multiply @t154 @t155))) % 7.63/7.83 (define @t204 () (tptp.multiply @t12 @t194)) % 7.63/7.83 (define @t205 () (= (tptp.multiply @t169 tptp.sk_c7) @t204)) % 7.63/7.83 (define @t206 () (tptp.multiply @t153 @t194)) % 7.63/7.83 (define @t207 () (tptp.multiply @t164 tptp.sk_c7)) % 7.63/7.83 (define @t208 () (= @t207 @t206)) % 7.63/7.83 (define @t209 () (= @t105 (tptp.multiply tptp.identity @t105))) % 7.63/7.83 (define @t210 () (tptp.multiply @t164 @t173)) % 7.63/7.83 (define @t211 () (tptp.multiply @t207 @t105)) % 7.63/7.83 (define @t212 () (= @t211 @t210)) % 7.63/7.83 (define @t213 () (= @t199 (tptp.multiply @t12 (tptp.multiply @t152 @t165)))) % 7.63/7.83 (define @t214 () (tptp.multiply tptp.sk_c7 tptp.sk_c6)) % 7.63/7.83 (define @t215 () (tptp.multiply @t151 @t214)) % 7.63/7.83 (define @t216 () (= (tptp.multiply @t188 tptp.sk_c6) @t215)) % 7.63/7.83 (define @t217 () (tptp.multiply tptp.sk_c8 @t166)) % 7.63/7.83 (define @t218 () (tptp.multiply @t197 @t166)) % 7.63/7.83 (define @t219 () (= @t218 (tptp.multiply @t153 @t217))) % 7.63/7.83 (define @t220 () (tptp.multiply tptp.identity @t151)) % 7.63/7.83 (define @t221 () (= @t151 @t220)) % 7.63/7.83 (define @t222 () (= @t166 (tptp.multiply tptp.identity @t166))) % 7.63/7.83 (define @t223 () (tptp.multiply @t210 tptp.sk_c7)) % 7.63/7.83 (define @t224 () (= @t223 (tptp.multiply @t164 (tptp.multiply @t173 tptp.sk_c7)))) % 7.63/7.83 (define @t225 () (tptp.multiply @t154 @t173)) % 7.63/7.83 (define @t226 () (tptp.multiply @t153 @t225)) % 7.63/7.83 (define @t227 () (= @t210 @t226)) % 7.63/7.83 (define @t228 () (tptp.multiply tptp.sk_c8 @t188)) % 7.63/7.83 (define @t229 () (tptp.multiply @t169 tptp.sk_c8)) % 7.63/7.83 (define @t230 () (tptp.multiply @t151 tptp.sk_c8)) % 7.63/7.83 (define @t231 () (tptp.multiply @t143 @t185)) % 7.63/7.83 (define @t232 () (tptp.multiply tptp.sk_c7 tptp.sk_c4)) % 7.63/7.83 (define @t233 () (= tptp.sk_c7 @t12)) % 7.63/7.83 (define @t234 () (and @t96 @t115 @t116 @t121 @t145 @t110 @t107 @t175 @t177 @t178 @t123 @t180 @t125 @t183 @t128 @t186 @t189 @t192 @t130 @t195 @t198 @t201 @t203 @t205 @t208 @t161 @t209 @t212 @t213 @t216 @t219 @t172 @t221 @t222 @t224 @t227)) % 7.63/7.83 (define @t235 () (not @t221)) % 7.63/7.83 (define @t236 () (not @t172)) % 7.63/7.83 (define @t237 () (not @t209)) % 7.63/7.83 (define @t238 () (not @t161)) % 7.63/7.83 (define @t239 () (not @t205)) % 7.63/7.83 (define @t240 () (not @t195)) % 7.63/7.83 (define @t241 () (not @t130)) % 7.63/7.83 (define @t242 () (not @t189)) % 7.63/7.83 (define @t243 () (not @t186)) % 7.63/7.83 (define @t244 () (not @t128)) % 7.63/7.83 (define @t245 () (not @t125)) % 7.63/7.83 (define @t246 () (not @t180)) % 7.63/7.83 (define @t247 () (not @t123)) % 7.63/7.83 (define @t248 () (not @t177)) % 7.63/7.83 (define @t249 () (not @t175)) % 7.63/7.83 (define @t250 () (not @t116)) % 7.63/7.83 (define @t251 () (not @t115)) % 7.63/7.83 (define @t252 () (tptp.multiply @t90 @t91)) % 7.63/7.83 (define @t253 () (= tptp.sk_c7 @t252)) % 7.63/7.83 (define @t254 () (not @t253)) % 7.63/7.83 (define @t255 () (or @t254 @t249)) % 7.63/7.83 (define @t256 () (not @t255)) % 7.63/7.83 (define @t257 () (not @t89)) % 7.63/7.83 (define @t258 () (= tptp.sk_c7 (tptp.multiply @t109 tptp.sk_c8))) % 7.63/7.83 (define @t259 () (not @t258)) % 7.63/7.83 (define @t260 () (not @t132)) % 7.63/7.83 (define @t261 () (or @t260 @t259)) % 7.63/7.83 (define @t262 () (tptp.multiply tptp.sk_c8 @t142)) % 7.63/7.83 (define @t263 () (tptp.multiply @t262 tptp.sk_c8)) % 7.63/7.83 (define @t264 () (= @t263 @t144)) % 7.63/7.83 (define @t265 () (= @t144 @t263)) % 7.63/7.83 (define @t266 () (tptp.multiply (tptp.multiply tptp.sk_c7 @t142) @t105)) % 7.63/7.83 (define @t267 () (= @t266 @t154)) % 7.63/7.83 (define @t268 () (@list tptp.sk_c7 @t142 @t105)) % 7.63/7.83 (define @t269 () (= @t154 @t266)) % 7.63/7.83 (define @t270 () (tptp.multiply @t167 @t142)) % 7.63/7.83 (define @t271 () (tptp.multiply @t270 @t105)) % 7.63/7.83 (define @t272 () (= @t271 @t168)) % 7.63/7.83 (define @t273 () (@list @t167 @t142 @t105)) % 7.63/7.83 (define @t274 () (= @t168 @t271)) % 7.63/7.83 (define @t275 () (tptp.multiply tptp.sk_c6 @t157)) % 7.63/7.83 (define @t276 () (tptp.multiply tptp.identity @t154)) % 7.63/7.83 (define @t277 () (= @t154 @t276)) % 7.63/7.83 (define @t278 () (tptp.multiply @t166 @t157)) % 7.63/7.83 (define @t279 () (tptp.multiply tptp.sk_c8 @t278)) % 7.63/7.83 (define @t280 () (= (tptp.multiply @t217 @t157) @t279)) % 7.63/7.83 (define @t281 () (tptp.multiply tptp.sk_c8 @t217)) % 7.63/7.83 (define @t282 () (= (tptp.multiply @t165 @t166) @t281)) % 7.63/7.83 (define @t283 () (tptp.multiply @t143 @t157)) % 7.63/7.83 (define @t284 () (tptp.multiply @t283 tptp.sk_c7)) % 7.63/7.83 (define @t285 () (= @t284 @t231)) % 7.63/7.83 (define @t286 () (tptp.multiply @t143 @t275)) % 7.63/7.83 (define @t287 () (= @t278 @t286)) % 7.63/7.83 (define @t288 () (= @t142 (tptp.multiply tptp.identity @t142))) % 7.63/7.83 (define @t289 () (tptp.multiply @t270 @t106)) % 7.63/7.83 (define @t290 () (tptp.multiply @t271 tptp.sk_c7)) % 7.63/7.83 (define @t291 () (= @t290 @t289)) % 7.63/7.83 (define @t292 () (tptp.multiply @t142 @t158)) % 7.63/7.83 (define @t293 () (= (tptp.multiply (tptp.multiply @t142 tptp.sk_c7) @t157) @t292)) % 7.63/7.83 (define @t294 () (tptp.multiply tptp.sk_c5 @t158)) % 7.63/7.83 (define @t295 () (tptp.multiply tptp.sk_c5 tptp.sk_c7)) % 7.63/7.83 (define @t296 () (= (tptp.multiply @t295 @t157) @t294)) % 7.63/7.83 (define @t297 () (tptp.multiply @t262 @t158)) % 7.63/7.83 (define @t298 () (= (tptp.multiply (tptp.multiply @t262 tptp.sk_c7) @t157) @t297)) % 7.63/7.83 (define @t299 () (tptp.multiply @t165 @t188)) % 7.63/7.83 (define @t300 () (= (tptp.multiply (tptp.multiply @t165 @t151) tptp.sk_c7) @t299)) % 7.63/7.83 (define @t301 () (tptp.multiply @t144 @t275)) % 7.63/7.83 (define @t302 () (= @t301 (tptp.multiply tptp.sk_c8 @t286))) % 7.63/7.83 (define @t303 () (tptp.multiply tptp.sk_c8 tptp.sk_c7)) % 7.63/7.83 (define @t304 () (tptp.multiply @t303 @t151)) % 7.63/7.83 (define @t305 () (= @t304 (tptp.multiply tptp.sk_c8 @t154))) % 7.63/7.83 (define @t306 () (tptp.multiply @t154 tptp.sk_c8)) % 7.63/7.83 (define @t307 () (tptp.multiply tptp.sk_c7 tptp.sk_c8)) % 7.63/7.83 (define @t308 () (and @t115 @t116 @t121 @t145 @t110 @t107 @t177 @t123 @t180 @t125 @t128 @t186 @t189 @t265 @t130 @t195 @t205 @t161 @t269 @t209 @t277 @t280 @t172 @t282 @t285 @t221 @t287 @t274 @t288 @t291 @t293 @t296 @t298 @t300 @t302 @t305)) % 7.63/7.83 (define @t309 () (tptp.multiply tptp.sk_c1 @t90)) % 7.63/7.83 (define @t310 () (tptp.inverse @t91)) % 7.63/7.83 (define @t311 () (tptp.multiply tptp.identity @t91)) % 7.63/7.83 (define @t312 () (= @t91 @t311)) % 7.63/7.83 (define @t313 () (tptp.multiply tptp.identity @t12)) % 7.63/7.83 (define @t314 () (= @t12 @t313)) % 7.63/7.83 (define @t315 () (tptp.multiply @t310 @t91)) % 7.63/7.83 (define @t316 () (= tptp.identity @t315)) % 7.63/7.83 (define @t317 () (tptp.multiply @t91 @t252)) % 7.63/7.83 (define @t318 () (tptp.multiply @t124 @t91)) % 7.63/7.83 (define @t319 () (= @t318 @t317)) % 7.63/7.83 (define @t320 () (tptp.multiply @t91 tptp.sk_c7)) % 7.63/7.83 (define @t321 () (tptp.multiply @t310 @t320)) % 7.63/7.83 (define @t322 () (tptp.multiply @t315 tptp.sk_c7)) % 7.63/7.83 (define @t323 () (= @t322 @t321)) % 7.63/7.83 (define @t324 () (tptp.multiply @t91 @t12)) % 7.63/7.83 (define @t325 () (= tptp.sk_c7 @t176)) % 7.63/7.83 (define @t326 () (and @t233 @t253 @t177 @t125 @t312 @t314 @t316 @t319 @t323)) % 7.63/7.83 (define @t327 () (not @t323)) % 7.63/7.83 (define @t328 () (not @t319)) % 7.63/7.83 (define @t329 () (not @t316)) % 7.63/7.83 (define @t330 () (not @t314)) % 7.63/7.83 (define @t331 () (not @t312)) % 7.63/7.83 (define @t332 () (not @t233)) % 7.63/7.83 (define @t333 () (tptp.multiply @t90 @t324)) % 7.63/7.83 (define @t334 () (tptp.multiply @t252 @t12)) % 7.63/7.83 (define @t335 () (= @t334 @t333)) % 7.63/7.83 (define @t336 () (tptp.multiply @t12 @t12)) % 7.63/7.83 (define @t337 () (= tptp.sk_c8 @t167)) % 7.63/7.83 (define @t338 () (and @t233 @t253 @t177 @t125 @t130 @t312 @t314 @t316 @t335 @t319 @t323)) % 7.63/7.83 (define @t339 () (not @t335)) % 7.63/7.83 (define @t340 () (tptp.multiply tptp.sk_c5 @t129)) % 7.63/7.83 (define @t341 () (tptp.multiply tptp.sk_c5 tptp.identity)) % 7.63/7.83 (define @t342 () (tptp.multiply @t341 tptp.sk_c8)) % 7.63/7.83 (define @t343 () (= @t342 @t340)) % 7.63/7.83 (define @t344 () (tptp.multiply tptp.sk_c8 @t342)) % 7.63/7.83 (define @t345 () (= tptp.sk_c7 @t344)) % 7.63/7.83 (define @t346 () (and @t233 @t121 @t253 @t177 @t123 @t125 @t128 @t130 @t312 @t314 @t316 @t319 @t343 @t323)) % 7.63/7.83 (define @t347 () (not @t343)) % 7.63/7.83 (define @t348 () (tptp.inverse @t307)) % 7.63/7.83 (define @t349 () (= tptp.sk_c8 (tptp.inverse @t12))) % 7.63/7.83 (define @t350 () (and @t233 @t253 @t177 @t125 @t130 @t312 @t314 @t316 @t319 @t323)) % 7.63/7.83 (define @t351 () (tptp.multiply tptp.sk_c8 @t176)) % 7.63/7.83 (define @t352 () (tptp.multiply @t12 tptp.identity)) % 7.63/7.83 (define @t353 () (tptp.multiply tptp.sk_c8 @t12)) % 7.63/7.83 (define @t354 () (= tptp.sk_c7 @t353)) % 7.63/7.83 (define @t355 () (and @t233 @t121 @t253 @t177 @t125 @t130 @t312 @t314 @t316 @t335 @t319 @t323)) % 7.63/7.83 (define @t356 () (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) % 7.63/7.83 (define @t357 () (tptp.multiply @t307 tptp.sk_c5)) % 7.63/7.83 (define @t358 () (tptp.multiply @t357 tptp.sk_c7)) % 7.63/7.83 (define @t359 () (= @t358 (tptp.multiply @t307 @t295))) % 7.63/7.83 (define @t360 () (tptp.multiply tptp.sk_c5 @t12)) % 7.63/7.83 (define @t361 () (= tptp.sk_c8 (tptp.inverse @t341))) % 7.63/7.83 (define @t362 () (and @t233 @t121 @t253 @t177 @t123 @t125 @t128 @t130 @t312 @t356 @t314 @t316 @t319 @t359 @t343 @t323)) % 7.63/7.83 (define @t363 () (not @t337)) % 7.63/7.83 (define @t364 () (not @t349)) % 7.63/7.83 (define @t365 () (or @t364 @t363)) % 7.63/7.83 (define @t366 () (not @t361)) % 7.63/7.83 (define @t367 () (not @t345)) % 7.63/7.83 (define @t368 () (or @t367 @t366)) % 7.63/7.83 (define @t369 () (not @t325)) % 7.63/7.83 (define @t370 () (not @t354)) % 7.63/7.83 (define @t371 () (or @t370 @t369)) % 7.63/7.83 (define @t372 () (not (= @t58 @t58))) % 7.63/7.83 (define @t373 () (or @t138 @t372 @t137)) % 7.63/7.83 (define @t374 () (not (= @t57 @t58))) % 7.63/7.83 (define @t375 () (not (= tptp.sk_c7 @t60))) % 7.63/7.83 (define @t376 () (or @t374 @t375 @t374 @t137)) % 7.63/7.83 (define @t377 () (@list @t57)) % 7.63/7.83 (define @t378 () (or @t375 @t374 @t137)) % 7.63/7.83 (define @t379 () (forall @t377 @t378)) % 7.63/7.83 (define @t380 () (forall @t140 @t379)) % 7.63/7.83 (define @t381 () (forall (@list @t54 @t57) @t378)) % 7.63/7.83 (define @t382 () (forall (@list @t57 @t54) @t378)) % 7.63/7.83 (define @t383 () (not (= tptp.sk_c8 @t63))) % 7.63/7.83 (define @t384 () (not (= tptp.sk_c8 @t65))) % 7.63/7.83 (define @t385 () (or @t384 @t383)) % 7.63/7.83 (define @t386 () (forall (@list @t62) @t385)) % 7.63/7.83 (define @t387 () (not (= @t71 @t71))) % 7.63/7.83 (define @t388 () (or @t86 @t387 @t85)) % 7.63/7.83 (define @t389 () (not (= tptp.sk_c7 @t68))) % 7.63/7.83 (define @t390 () (not (= @t67 @t71))) % 7.63/7.83 (define @t391 () (not (= tptp.sk_c7 @t73))) % 7.63/7.83 (define @t392 () (or @t390 @t391 @t390 @t389)) % 7.63/7.83 (define @t393 () (@list @t67)) % 7.63/7.83 (define @t394 () (or @t391 @t390 @t389)) % 7.63/7.83 (define @t395 () (forall @t393 @t394)) % 7.63/7.83 (define @t396 () (forall @t88 @t395)) % 7.63/7.83 (define @t397 () (forall (@list @t70 @t67) @t394)) % 7.63/7.83 (define @t398 () (or @t332 @t103 @t397 @t386 @t382)) % 7.63/7.83 (define @t399 () (or @t332 @t102 @t394 @t385 @t378)) % 7.63/7.83 (define @t400 () (or @t332 @t101 @t100 @t391 @t390 @t389 @t384 @t383 @t375 @t374 @t137)) % 7.63/7.83 (define @t401 () (= tptp.sk_c7 (tptp.multiply @t40 tptp.sk_c8))) % 7.63/7.83 (define @t402 () (not @t401)) % 7.63/7.83 (define @t403 () (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 @t40))) % 7.63/7.83 (define @t404 () (not @t403)) % 7.63/7.83 (define @t405 () (or @t404 @t402)) % 7.63/7.83 (define @t406 () (= tptp.sk_c7 @t33)) % 7.63/7.83 (define @t407 () (= tptp.sk_c3 @t40)) % 7.63/7.83 (define @t408 () (= tptp.sk_c7 @t47)) % 7.63/7.83 (define @t409 () (and @t406 @t407)) % 7.63/7.83 (define @t410 () (and @t407 @t408)) % 7.63/7.83 (define @t411 () (not @t405)) % 7.63/7.83 (define @t412 () (@list false false false false false)) % 7.63/7.83 (define @t413 () (@list @t401 @t403 @t408 @t407 @t406)) % 7.63/7.83 (define @t414 () (@list false false)) % 7.63/7.83 (define @t415 () (@list @t94 @t96)) % 7.63/7.83 (define @t416 () (= tptp.sk_c8 @t30)) % 7.63/7.83 (define @t417 () (@list true)) % 7.63/7.83 (define @t418 () (@list @t121)) % 7.63/7.83 (define @t419 () (= tptp.sk_c8 @t27)) % 7.63/7.83 (define @t420 () (not @t416)) % 7.63/7.83 (define @t421 () (not @t419)) % 7.63/7.83 (define @t422 () (or @t421 @t420)) % 7.63/7.83 (define @t423 () (not @t422)) % 7.63/7.83 (define @t424 () (@list @t103)) % 7.63/7.83 (define @t425 () (= tptp.sk_c7 @t351)) % 7.63/7.83 (define @t426 () (not @t425)) % 7.63/7.83 (define @t427 () (or @t426 @t364)) % 7.63/7.83 (define @t428 () (tptp.multiply tptp.sk_c1 @t252)) % 7.63/7.83 (define @t429 () (tptp.multiply @t309 @t91)) % 7.63/7.83 (define @t430 () (= @t429 @t428)) % 7.63/7.83 (define @t431 () (tptp.multiply @t429 tptp.sk_c7)) % 7.63/7.83 (define @t432 () (= @t431 (tptp.multiply @t309 @t320))) % 7.63/7.83 (define @t433 () (and @t233 @t416 @t110 @t253 @t177 @t125 @t130 @t312 @t314 @t316 @t430 @t319 @t432 @t323)) % 7.63/7.83 (assume @p1 @t4) % 7.63/7.83 (assume @p2 @t6) % 7.63/7.83 (assume @p3 @t9) % 7.63/7.83 (assume @p4 @t14) % 7.63/7.83 (assume @p5 @t17) % 7.63/7.83 (assume @p6 @t20) % 7.63/7.83 (assume @p7 @t23) % 7.63/7.83 (assume @p8 @t26) % 7.63/7.83 (assume @p9 (or @t28 @t11)) % 7.63/7.83 (assume @p10 (or @t28 @t16)) % 7.63/7.83 (assume @p11 (or @t28 @t19)) % 7.63/7.83 (assume @p12 (or @t28 @t22)) % 7.63/7.83 (assume @p13 @t29) % 7.63/7.83 (assume @p14 (or @t31 @t11)) % 7.63/7.83 (assume @p15 (or @t31 @t16)) % 7.63/7.83 (assume @p16 (or @t31 @t19)) % 7.63/7.83 (assume @p17 (or @t31 @t22)) % 7.63/7.83 (assume @p18 @t32) % 7.63/7.83 (assume @p19 @t35) % 7.63/7.83 (assume @p20 @t36) % 7.63/7.83 (assume @p21 @t37) % 7.63/7.83 (assume @p22 @t38) % 7.63/7.83 (assume @p23 @t39) % 7.63/7.83 (assume @p24 @t42) % 7.63/7.83 (assume @p25 @t43) % 7.63/7.83 (assume @p26 @t44) % 7.63/7.83 (assume @p27 @t45) % 7.63/7.83 (assume @p28 @t46) % 7.63/7.83 (assume @p29 @t49) % 7.63/7.83 (assume @p30 @t50) % 7.63/7.83 (assume @p31 @t51) % 7.63/7.83 (assume @p32 @t52) % 7.63/7.83 (assume @p33 @t53) % 7.63/7.83 (assume @p34 @t83) % 7.63/7.83 (step @p35 :rule eq-symm :args (@t5 tptp.identity)) % 7.63/7.83 (step @p36 :rule cong :premises (@p35) :args (@t6)) % 7.63/7.83 (step @p37 :rule eq_resolve :premises (@p2 @p36)) % 7.63/7.83 (step @p38 :rule instantiate :premises (@p37) :args (@t84)) % 7.63/7.83 (step @p39 :rule instantiate :premises (@p37) :args ((@list @t90))) % 7.63/7.83 (step @p40 :rule eq-symm :args (@t2 @t1)) % 7.63/7.83 (step @p41 :rule cong :premises (@p40) :args (@t4)) % 7.63/7.83 (step @p42 :rule eq_resolve :premises (@p1 @p41)) % 7.63/7.83 (step @p43 :rule instantiate :premises (@p42) :args (@t84)) % 7.63/7.83 (step @p44 :rule instantiate :premises (@p42) :args (@t92)) % 7.63/7.83 (step @p45 :rule instantiate :premises (@p42) :args (@t93)) % 7.63/7.83 (step @p46 :rule instantiate :premises (@p37) :args (@t92)) % 7.63/7.83 (step @p47 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c1 @t90 @t91))) % 7.63/7.83 (step @p48 :rule instantiate :premises (@p3) :args ((@list @t91 @t90 @t91))) % 7.63/7.83 (step @p49 :rule eq-symm :args (@t10 tptp.sk_c8)) % 7.63/7.83 (step @p50 :rule eq-symm :args (@t12 tptp.sk_c7)) % 7.63/7.83 (step @p51 :rule nary_cong :premises (@p50 @p49) :args (@t14)) % 7.63/7.83 (step @p52 :rule eq_resolve :premises (@p4 @p51)) % 7.63/7.83 (step @p53 :rule eq-symm :args (@t15 tptp.sk_c8)) % 7.63/7.83 (step @p54 :rule nary_cong :premises (@p50 @p53) :args (@t17)) % 7.63/7.83 (step @p55 :rule eq_resolve :premises (@p5 @p54)) % 7.63/7.83 (step @p56 :rule eq-symm :args (@t18 tptp.sk_c7)) % 7.63/7.83 (step @p57 :rule nary_cong :premises (@p50 @p56) :args (@t20)) % 7.63/7.83 (step @p58 :rule eq_resolve :premises (@p6 @p57)) % 7.63/7.83 (step @p59 :rule eq-symm :args (@t21 tptp.sk_c6)) % 7.63/7.83 (step @p60 :rule nary_cong :premises (@p50 @p59) :args (@t23)) % 7.63/7.83 (step @p61 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@t128) % 7.63/7.83 (assume-push @p1791 @t186) % 7.63/7.83 (assume-push @p1792 @t189) % 7.63/7.83 (assume-push @p1793 @t192) % 7.63/7.83 (assume-push @p1794 @t130) % 7.63/7.83 (assume-push @p1795 @t195) % 7.63/7.83 (assume-push @p1796 @t198) % 7.63/7.83 (assume-push @p1797 @t201) % 7.63/7.83 (assume-push @p1798 @t203) % 7.63/7.83 (assume-push @p1799 @t205) % 7.63/7.83 (assume-push @p1800 @t208) % 7.63/7.83 (assume-push @p1801 @t161) % 7.63/7.83 (assume-push @p1802 @t209) % 7.63/7.83 (assume-push @p1803 @t212) % 7.63/7.83 (assume-push @p1804 @t213) % 7.63/7.83 (assume-push @p1805 @t216) % 7.63/7.83 (assume-push @p1806 @t219) % 7.63/7.83 (assume-push @p1807 @t172) % 7.63/7.83 (assume-push @p1808 @t221) % 7.63/7.83 (assume-push @p1809 @t222) % 7.63/7.83 (assume-push @p1810 @t224) % 7.63/7.83 (assume-push @p1811 @t227) % 7.63/7.83 (assume-push @p1812 @t130) % 7.63/7.83 (assume-push @p1813 @t125) % 7.63/7.83 (assume-push @p1814 @t123) % 7.63/7.83 (assume-push @p1815 @t121) % 7.63/7.83 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7.63/7.83 (step @p853 :rule process_scope :premises (@p2073) :args (@t258)) % 7.63/7.83 (step @p890 :rule implies_elim :premises (@p853)) % 7.63/7.83 (step @p891 :rule cnf_and_neg :args (@t308)) % 7.63/7.83 (step @p892 :rule resolution :premises (@p891 @p890) :args (true @t308)) % 7.63/7.83 (step @p893 :rule reordering :premises (@p892) :args ((or @t251 @t250 @t134 @t146 @t111 @t108 @t248 @t247 @t246 @t245 @t244 @t243 @t242 (not @t265) @t241 @t240 @t239 @t238 (not @t269) @t237 (not @t277) (not @t280) @t236 (not @t282) (not @t285) @t235 (not @t287) (not @t274) (not @t288) (not @t291) (not @t293) (not @t296) (not @t298) (not @t300) (not @t302) @t258 (not @t305)))) % 7.63/7.83 (step @p894 :rule chain_m_resolution :premises (@p893 @p596 @p595 @p594 @p593 @p592 @p591 @p590 @p589 @p588 @p579 @p228 @p578 @p577 @p227 @p576 @p575 @p214 @p574 @p213 @p202 @p198 @p43 @p565 @p196 @p195 @p111 @p39 @p193 @p110 @p38 @p556 @p554 @p549 @p540 @p534 @p231 @p230 @p229 @p228 @p227 @p218 @p217 @p216 @p215 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@t112) (@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 true true true false false false false false false false true) (@list @t258 @t305 @t302 @t300 @t298 @t296 @t293 @t291 @t288 @t274 @t287 @t221 @t285 @t282 @t172 @t280 @t277 @t209 @t269 @t161 @t205 @t195 @t130 @t265 @t189 @t186 @t128 @t125 @t180 @t123 @t177 @t132 @t130 @t128 @t125 @t123 @t107 @t110 @t145 @t147 @t141 @t136 @t118 @t115 @t116 @t405 @t261 @t89 @t255 @t253))) % 7.63/7.84 (step @p1554 :rule nary_cong :premises (@p1497 @p49) :args (@t42)) % 7.63/7.84 (step @p1555 :rule eq_resolve :premises (@p24 @p1554)) % 7.63/7.84 (step @p1556 :rule reordering :premises (@p1555) :args ((or @t96 @t407))) % 7.63/7.84 (step @p1557 :rule nary_cong :premises (@p1497 @p53) :args (@t43)) % 7.63/7.84 (step @p1558 :rule eq_resolve :premises (@p25 @p1557)) % 7.63/7.84 (step @p1559 :rule reordering :premises (@p1558) :args ((or @t94 @t407))) % 7.63/7.84 (step @p1560 :rule chain_m_resolution :premises (@p66 @p1559 @p1556) :args ((or @t407 @t99) @t414 @t415)) % 7.63/7.84 (step @p1561 :rule nary_cong :premises (@p1493 @p49) :args (@t35)) % 7.63/7.84 (step @p1562 :rule eq_resolve :premises (@p19 @p1561)) % 7.63/7.84 (step @p1563 :rule reordering :premises (@p1562) :args ((or @t96 @t406))) % 7.63/7.84 (step @p1564 :rule nary_cong :premises (@p1493 @p53) :args (@t36)) % 7.63/7.84 (step @p1565 :rule eq_resolve :premises (@p20 @p1564)) % 7.63/7.84 (step @p1566 :rule reordering :premises (@p1565) :args ((or @t94 @t406))) % 7.63/7.84 (step @p1567 :rule chain_m_resolution :premises (@p66 @p1566 @p1563) :args ((or @t406 @t99) @t414 @t415)) % 7.63/7.84 (step @p1568 :rule nary_cong :premises (@p1501 @p49) :args (@t49)) % 7.63/7.84 (step @p1569 :rule eq_resolve :premises (@p29 @p1568)) % 7.63/7.84 (step @p1570 :rule reordering :premises (@p1569) :args 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@t418)) % 7.63/7.84 (step @p1580 :rule eq-symm :args (@t27 tptp.sk_c8)) % 7.63/7.84 (step @p1581 :rule nary_cong :premises (@p1580 @p62) :args (@t29)) % 7.63/7.84 (step @p1582 :rule eq_resolve :premises (@p13 @p1581)) % 7.63/7.84 (step @p1583 :rule reordering :premises (@p1582) :args ((or @t121 @t419))) % 7.63/7.84 (step @p1584 :rule chain_m_resolution :premises (@p1583 @p1574) :args (@t419 @t417 @t418)) % 7.63/7.84 (step @p1585 :rule cnf_or_pos :args (@t422)) % 7.63/7.84 (step @p1586 :rule reordering :premises (@p1585) :args ((or @t421 @t420 @t423))) % 7.63/7.84 (step @p1587 :rule chain_m_resolution :premises (@p1586 @p1584 @p1579) :args (@t423 @t414 (@list @t419 @t416))) % 7.63/7.84 (assume-push @p2386 @t103) % 7.63/7.84 (step @p1589 :rule instantiate :premises (@p2386) :args ((@list tptp.sk_c1))) % 7.63/7.84 (step-pop @p2387 :rule scope :premises (@p1589)) % 7.63/7.84 (step @p1590 :rule process_scope :premises (@p2387) :args (@t422)) % 7.63/7.84 (step @p1592 :rule implies_elim :premises (@p1590)) % 7.63/7.84 (step @p1593 :rule chain_m_resolution :premises (@p1592 @p1587) :args (@t114 @t417 (@list @t422))) % 7.63/7.84 (step @p1594 :rule chain_m_resolution :premises (@p80 @p1593) :args (@t113 @t417 @t424)) % 7.63/7.84 (step @p1595 :rule chain_m_resolution :premises (@p86 @p1594) :args (@t110 @t417 (@list @t112))) % 7.63/7.84 (step @p1596 :rule nary_cong :premises (@p1501 @p62) :args (@t53)) % 7.63/7.84 (step @p1597 :rule eq_resolve :premises (@p33 @p1596)) % 7.63/7.84 (step @p1598 :rule reordering :premises (@p1597) :args ((or @t121 @t408))) % 7.63/7.84 (step @p1599 :rule chain_m_resolution :premises (@p1598 @p1574) :args (@t408 @t417 @t418)) % 7.63/7.84 (step @p1600 :rule nary_cong :premises (@p1497 @p62) :args (@t46)) % 7.63/7.84 (step @p1601 :rule eq_resolve :premises (@p28 @p1600)) % 7.63/7.84 (step @p1602 :rule reordering :premises (@p1601) :args ((or @t121 @t407))) % 7.63/7.84 (step @p1603 :rule chain_m_resolution :premises (@p1602 @p1574) :args (@t407 @t417 @t418)) % 7.63/7.84 (step @p1604 :rule chain_m_resolution :premises (@p1539 @p1603 @p1599) :args (@t401 @t414 (@list @t407 @t408))) % 7.63/7.84 (step @p1605 :rule nary_cong :premises (@p1493 @p62) :args (@t39)) % 7.63/7.84 (step @p1606 :rule eq_resolve :premises (@p23 @p1605)) % 7.63/7.84 (step @p1607 :rule reordering :premises (@p1606) :args ((or @t121 @t406))) % 7.63/7.84 (step @p1608 :rule chain_m_resolution :premises (@p1607 @p1574) :args (@t406 @t417 @t418)) % 7.63/7.84 (step @p1609 :rule chain_m_resolution :premises (@p1522 @p1608 @p1603) :args (@t403 @t414 (@list @t406 @t407))) % 7.63/7.84 (step @p1610 :rule chain_m_resolution :premises (@p1541 @p1609 @p1604) :args (@t411 @t414 (@list @t403 @t401))) % 7.63/7.84 (step @p1611 :rule chain_m_resolution :premises (@p1492 @p1610) :args (@t257 @t417 (@list @t405))) % 7.63/7.84 (step @p1612 :rule chain_m_resolution :premises (@p549 @p1611) :args (@t256 @t417 (@list @t89))) % 7.63/7.84 (step @p1613 :rule chain_m_resolution :premises (@p1487 @p1612) :args (@t253 @t417 (@list @t255))) % 7.63/7.84 (step @p1614 :rule chain_m_resolution :premises (@p1408 @p1593) :args ((not @t386) @t417 @t424)) % 7.63/7.84 (step @p1615 :rule chain_m_resolution :premises (@p1481 @p894 @p1593 @p1614 @p1611) :args (@t141 (@list false true true true) (@list @t233 @t103 @t386 @t89))) % 7.63/7.84 (assume-push @p2388 @t141) % 7.63/7.84 (step @p1617 :rule instantiate :premises (@p2388) :args (@t93)) % 7.63/7.84 (step-pop @p2389 :rule scope :premises (@p1617)) % 7.63/7.84 (step @p1618 :rule process_scope :premises (@p2389) :args (@t427)) % 7.63/7.84 (step @p1620 :rule implies_elim :premises (@p1618)) % 7.63/7.84 (step @p1621 :rule chain_m_resolution :premises (@p1620 @p1615) :args (@t427 @t162 (@list @t141))) % 7.63/7.84 (step @p1622 :rule chain_m_resolution :premises (@p1179 @p894 @p1613 @p38 @p39 @p43 @p44 @p45 @p46 @p48 @p896) :args (@t349 (@list false false false false false false false false false false) (@list @t233 @t253 @t177 @t125 @t130 @t312 @t314 @t316 @t319 @t323))) % 7.63/7.84 (step @p1623 :rule cnf_or_pos :args (@t427)) % 7.63/7.84 (step @p1624 :rule reordering :premises (@p1623) :args ((or @t426 @t364 (not @t427)))) % 7.63/7.84 (step @p1625 :rule chain_m_resolution :premises (@p1624 @p1622 @p1621) :args (@t426 @t414 (@list @t349 @t427))) % 7.63/7.84 (assume-push @p2390 @t233) % 7.63/7.84 (assume-push @p2391 @t416) % 7.63/7.84 (assume-push @p2392 @t110) % 7.63/7.84 (assume-push @p2393 @t253) % 7.63/7.84 (assume-push @p2394 @t177) % 7.63/7.84 (assume-push @p2395 @t125) % 7.63/7.84 (assume-push @p2396 @t130) % 7.63/7.84 (assume-push @p2397 @t312) % 7.63/7.84 (assume-push @p2398 @t314) % 7.63/7.84 (assume-push @p2399 @t316) % 7.63/7.84 (assume-push @p2400 @t430) % 7.63/7.84 (assume-push @p2401 @t319) % 7.63/7.84 (assume-push @p2402 @t432) % 7.63/7.84 (assume-push @p2403 @t323) % 7.63/7.84 (assume-push @p2404 @t110) % 7.63/7.84 (assume-push @p2405 @t177) % 7.63/7.84 (assume-push @p2406 @t316) % 7.63/7.84 (assume-push @p2407 @t312) % 7.63/7.84 (assume-push @p2408 @t125) % 7.63/7.84 (assume-push @p2409 @t319) % 7.63/7.84 (assume-push @p2410 @t253) % 7.63/7.84 (assume-push @p2411 @t233) % 7.63/7.84 (assume-push @p2412 @t323) % 7.63/7.84 (assume-push @p2413 @t314) % 7.63/7.84 (assume-push @p2414 @t416) % 7.63/7.84 (assume-push @p2415 @t430) % 7.63/7.84 (assume-push @p2416 @t432) % 7.63/7.84 (assume-push @p2417 @t130) % 7.63/7.84 (step @p915 :rule symm :premises (@p46)) % 7.63/7.84 (step @p916 :rule symm :premises (@p44)) % 7.63/7.84 (step @p917 :rule refl :args (@t91)) % 7.63/7.84 (step @p133 :rule symm :premises (@p39)) % 7.63/7.84 (step @p918 :rule cong :premises (@p133 @p917) :args (@t318)) % 7.63/7.84 (step @p919 :rule symm :premises (@p48)) % 7.63/7.84 (step @p1654 :rule symm :premises (@p2390)) % 7.63/7.84 (step @p1655 :rule trans :premises (@p1654 @p2393)) % 7.63/7.84 (step @p1656 :rule cong :premises (@p917 @p1655) :args (@t324)) % 7.63/7.84 (step @p1657 :rule cong :premises (@p917 @p2390) :args (@t320)) % 7.63/7.84 (step @p1658 :rule trans :premises (@p1657 @p1656 @p919 @p918 @p916)) % 7.63/7.84 (step @p925 :rule refl :args (@t310)) % 7.63/7.84 (step @p1659 :rule cong :premises (@p925 @p1658) :args (@t321)) % 7.63/7.84 (step @p1660 :rule cong :premises (@p46 @p1654) :args (@t313)) % 7.63/7.84 (step @p1661 :rule trans :premises (@p45 @p1660 @p896 @p1659 @p915 @p38)) % 7.63/7.84 (step @p1662 :rule symm :premises (@p2392)) % 7.63/7.84 (step @p1663 :rule cong :premises (@p1662 @p1661) :args ((tptp.multiply @t109 @t12))) % 7.63/7.84 (step @p334 :rule refl :args (@t12)) % 7.63/7.84 (step @p1664 :rule cong :premises (@p2392 @p334) :args (@t353)) % 7.63/7.84 (step @p1665 :rule symm :premises (@p2391)) % 7.63/7.84 (step @p1666 :rule refl :args (tptp.sk_c1)) % 7.63/7.84 (step @p1667 :rule cong :premises (@p1666 @p1654) :args ((tptp.multiply tptp.sk_c1 @t12))) % 7.63/7.84 (step @p1668 :rule symm :premises (@p1655)) % 7.63/7.84 (step @p1669 :rule cong :premises (@p1666 @p1668) :args (@t428)) % 7.63/7.84 (step @p1670 :rule trans :premises (@p47 @p1669 @p1667 @p1665)) % 7.63/7.84 (step @p1671 :rule cong :premises (@p1670 @p2390) :args (@t431)) % 7.63/7.84 (step @p1672 :rule symm :premises (@p895)) % 7.63/7.84 (step @p1673 :rule symm :premises (@p1658)) % 7.63/7.84 (step @p1674 :rule refl :args (@t309)) % 7.63/7.84 (step @p1675 :rule cong :premises (@p1674 @p1673) :args (@t429)) % 7.63/7.84 (step @p1676 :rule symm :premises (@p47)) % 7.63/7.84 (step @p1677 :rule symm :premises (@p1669)) % 7.63/7.84 (step @p1678 :rule symm :premises (@p1667)) % 7.63/7.84 (step @p132 :rule symm :premises (@p43)) % 7.63/7.84 (step @p96 :rule refl :args (tptp.sk_c8)) % 7.63/7.84 (step @p1679 :rule trans :premises (@p45 @p1660 @p896 @p1659 @p915 @p39)) % 7.63/7.84 (step @p1680 :rule trans :premises (@p1679 @p133)) % 7.63/7.84 (step @p1681 :rule cong :premises (@p1680 @p96) :args (@t176)) % 7.63/7.84 (step @p1682 :rule trans :premises (@p2390 @p45 @p1660 @p896 @p1659 @p915 @p38 @p1681 @p132 @p2391 @p1678 @p1677 @p1676 @p1675 @p1672 @p1671 @p1664 @p1663)) % 7.63/7.84 (step-pop @p2418 :rule scope :premises (@p1682)) % 7.63/7.84 (step-pop @p2419 :rule scope :premises (@p2418)) % 7.63/7.84 (step-pop @p2420 :rule scope :premises (@p2419)) % 7.63/7.84 (step-pop @p2421 :rule scope :premises (@p2420)) % 7.63/7.84 (step-pop @p2422 :rule scope :premises (@p2421)) % 7.63/7.84 (step-pop @p2423 :rule scope :premises (@p2422)) % 7.63/7.84 (step-pop @p2424 :rule scope :premises (@p2423)) % 7.63/7.84 (step-pop @p2425 :rule scope :premises (@p2424)) % 7.63/7.84 (step-pop @p2426 :rule scope :premises (@p2425)) % 7.63/7.84 (step-pop @p2427 :rule scope :premises (@p2426)) % 7.63/7.84 (step-pop @p2428 :rule scope :premises (@p2427)) % 7.63/7.84 (step-pop @p2429 :rule scope :premises (@p2428)) % 7.63/7.84 (step-pop @p2430 :rule scope :premises (@p2429)) % 7.63/7.84 (step-pop @p2431 :rule scope :premises (@p2430)) % 7.63/7.84 (step @p1683 :rule process_scope :premises (@p2431) :args (@t425)) % 7.63/7.84 (step @p1698 :rule and_intro :premises (@p2392 @p38 @p46 @p44 @p39 @p48 @p2393 @p2390 @p896 @p45 @p2391 @p47 @p895 @p43)) % 7.63/7.84 (step @p1699 :rule modus_ponens :premises (@p1698 @p1683)) % 7.63/7.84 (step-pop @p2432 :rule scope :premises (@p1699)) % 7.63/7.84 (step-pop @p2433 :rule scope :premises (@p2432)) % 7.63/7.84 (step-pop @p2434 :rule scope :premises (@p2433)) % 7.63/7.84 (step-pop @p2435 :rule scope :premises (@p2434)) % 7.63/7.84 (step-pop @p2436 :rule scope :premises (@p2435)) % 7.63/7.84 (step-pop @p2437 :rule scope :premises (@p2436)) % 7.63/7.84 (step-pop @p2438 :rule scope :premises (@p2437)) % 7.63/7.84 (step-pop @p2439 :rule scope :premises (@p2438)) % 7.63/7.84 (step-pop @p2440 :rule scope :premises (@p2439)) % 7.63/7.84 (step-pop @p2441 :rule scope :premises (@p2440)) % 7.63/7.84 (step-pop @p2442 :rule scope :premises (@p2441)) % 7.63/7.84 (step-pop @p2443 :rule scope :premises (@p2442)) % 7.63/7.84 (step-pop @p2444 :rule scope :premises (@p2443)) % 7.63/7.84 (step-pop @p2445 :rule scope :premises (@p2444)) % 7.63/7.84 (step @p1700 :rule process_scope :premises (@p2445) :args (@t425)) % 7.63/7.84 (step @p1715 :rule implies_elim :premises (@p1700)) % 7.63/7.84 (step @p1716 :rule cnf_and_neg :args (@t433)) % 7.63/7.84 (step @p1717 :rule resolution :premises (@p1716 @p1715) :args (true @t433)) % 7.63/7.84 (step @p1718 :rule reordering :premises (@p1717) :args ((or @t332 @t420 @t111 @t254 @t248 @t245 @t241 @t425 @t331 @t330 @t329 (not @t430) @t328 (not @t432) @t327))) % 7.63/7.84 (step @p1719 false :rule chain_m_resolution :premises (@p1718 @p1625 @p1613 @p1595 @p1579 @p896 @p895 @p894 @p48 @p47 @p46 @p45 @p44 @p43 @p39 @p38) :args (false (@list true false false false false false false false false false false false false false false) (@list @t425 @t253 @t110 @t416 @t323 @t432 @t233 @t319 @t430 @t316 @t314 @t312 @t130 @t125 @t177))) % 7.63/7.84 ) % 7.63/7.86 % SZS output end Proof % 7.63/7.86 % cvc5 exiting %------------------------------------------------------------------------------