%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP343-1 : 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 : n024.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 08:20:32 AM UTC 2026 % Result : Unsatisfiable 19.68s 19.90s % Output : Proof 19.68s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : GRP343-1 : TPTP v9.2.1. Released v2.5.0. % 0.00/0.06 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n024.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Mon Jun 1 20:02:00 EDT 2026 % 0.08/0.25 % CPUTime : % 0.15/0.34 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.35 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.70/15.98 --- Run --no-e-matching --full-saturate-quant at 6... % 19.68/19.90 % SZS status Unsatisfiable % 19.68/19.90 % SZS output start Proof % 19.68/19.94 ( % 19.68/19.94 (declare-sort $$unsorted 0) % 19.68/19.94 (declare-const tptp.sk_c2 $$unsorted) % 19.68/19.94 (declare-const tptp.sk_c4 $$unsorted) % 19.68/19.94 (declare-const tptp.sk_c1 $$unsorted) % 19.68/19.94 (declare-const tptp.sk_c3 $$unsorted) % 19.68/19.94 (declare-const tptp.sk_c5 $$unsorted) % 19.68/19.94 (declare-const tptp.sk_c8 $$unsorted) % 19.68/19.94 (declare-const tptp.sk_c9 $$unsorted) % 19.68/19.94 (declare-const tptp.sk_c7 $$unsorted) % 19.68/19.94 (declare-const tptp.sk_c6 $$unsorted) % 19.68/19.94 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 19.68/19.94 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 19.68/19.94 (declare-const tptp.identity $$unsorted) % 19.68/19.94 (define @t1 () (@var "X" $$unsorted)) % 19.68/19.94 (define @t2 () (tptp.multiply tptp.identity @t1)) % 19.68/19.94 (define @t3 () (@list @t1)) % 19.68/19.94 (define @t4 () (forall @t3 (= @t2 @t1))) % 19.68/19.94 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 19.68/19.94 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 19.68/19.94 (define @t7 () (@var "Z" $$unsorted)) % 19.68/19.94 (define @t8 () (@var "Y" $$unsorted)) % 19.68/19.94 (define @t9 () (forall (@list @t1 @t8 @t7) (= (tptp.multiply (tptp.multiply @t1 @t8) @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 19.68/19.94 (define @t10 () (tptp.multiply tptp.sk_c8 tptp.sk_c9)) % 19.68/19.94 (define @t11 () (= @t10 tptp.sk_c7)) % 19.68/19.94 (define @t12 () (tptp.multiply tptp.sk_c3 tptp.sk_c9)) % 19.68/19.94 (define @t13 () (= @t12 tptp.sk_c8)) % 19.68/19.94 (define @t14 () (tptp.inverse tptp.sk_c1)) % 19.68/19.94 (define @t15 () (= @t14 tptp.sk_c9)) % 19.68/19.94 (define @t16 () (or @t15 @t13)) % 19.68/19.94 (define @t17 () (tptp.inverse tptp.sk_c3)) % 19.68/19.94 (define @t18 () (= @t17 tptp.sk_c9)) % 19.68/19.94 (define @t19 () (or @t15 @t18)) % 19.68/19.94 (define @t20 () (tptp.multiply tptp.sk_c9 tptp.sk_c7)) % 19.68/19.94 (define @t21 () (= @t20 tptp.sk_c8)) % 19.68/19.94 (define @t22 () (or @t15 @t21)) % 19.68/19.94 (define @t23 () (tptp.multiply tptp.sk_c4 tptp.sk_c8)) % 19.68/19.94 (define @t24 () (= @t23 tptp.sk_c9)) % 19.68/19.94 (define @t25 () (or @t15 @t24)) % 19.68/19.94 (define @t26 () (tptp.inverse tptp.sk_c4)) % 19.68/19.94 (define @t27 () (= @t26 tptp.sk_c8)) % 19.68/19.94 (define @t28 () (or @t15 @t27)) % 19.68/19.94 (define @t29 () (= (tptp.inverse tptp.sk_c6) tptp.sk_c5)) % 19.68/19.94 (define @t30 () (= (tptp.inverse tptp.sk_c5) tptp.sk_c9)) % 19.68/19.94 (define @t31 () (= (tptp.multiply tptp.sk_c6 tptp.sk_c9) tptp.sk_c5)) % 19.68/19.94 (define @t32 () (tptp.multiply tptp.sk_c1 tptp.sk_c8)) % 19.68/19.94 (define @t33 () (= @t32 tptp.sk_c9)) % 19.68/19.94 (define @t34 () (or @t33 @t13)) % 19.68/19.94 (define @t35 () (or @t33 @t18)) % 19.68/19.94 (define @t36 () (or @t33 @t21)) % 19.68/19.94 (define @t37 () (tptp.inverse tptp.sk_c2)) % 19.68/19.94 (define @t38 () (= @t37 tptp.sk_c8)) % 19.68/19.94 (define @t39 () (or @t38 @t13)) % 19.68/19.94 (define @t40 () (or @t38 @t18)) % 19.68/19.94 (define @t41 () (or @t38 @t21)) % 19.68/19.94 (define @t42 () (or @t38 @t24)) % 19.68/19.94 (define @t43 () (or @t38 @t27)) % 19.68/19.94 (define @t44 () (tptp.multiply tptp.sk_c2 tptp.sk_c7)) % 19.68/19.94 (define @t45 () (= @t44 tptp.sk_c8)) % 19.68/19.94 (define @t46 () (or @t45 @t13)) % 19.68/19.94 (define @t47 () (or @t45 @t18)) % 19.68/19.94 (define @t48 () (or @t45 @t24)) % 19.68/19.94 (define @t49 () (or @t45 @t27)) % 19.68/19.94 (define @t50 () (@var "X6" $$unsorted)) % 19.68/19.94 (define @t51 () (@var "X5" $$unsorted)) % 19.68/19.94 (define @t52 () (tptp.multiply @t51 tptp.sk_c9)) % 19.68/19.94 (define @t53 () (not (= @t52 @t50))) % 19.68/19.94 (define @t54 () (tptp.inverse @t50)) % 19.68/19.94 (define @t55 () (not (= @t54 tptp.sk_c9))) % 19.68/19.94 (define @t56 () (tptp.inverse @t51)) % 19.68/19.94 (define @t57 () (not (= @t56 @t50))) % 19.68/19.94 (define @t58 () (@var "X2" $$unsorted)) % 19.68/19.94 (define @t59 () (tptp.inverse @t58)) % 19.68/19.94 (define @t60 () (not (= @t59 tptp.sk_c8))) % 19.68/19.94 (define @t61 () (tptp.multiply @t58 tptp.sk_c8)) % 19.68/19.94 (define @t62 () (not (= @t61 tptp.sk_c9))) % 19.68/19.94 (define @t63 () (not @t21)) % 19.68/19.94 (define @t64 () (@var "X1" $$unsorted)) % 19.68/19.94 (define @t65 () (tptp.inverse @t64)) % 19.68/19.94 (define @t66 () (not (= @t65 tptp.sk_c9))) % 19.68/19.94 (define @t67 () (tptp.multiply @t64 tptp.sk_c9)) % 19.68/19.94 (define @t68 () (not (= @t67 tptp.sk_c8))) % 19.68/19.94 (define @t69 () (@var "X4" $$unsorted)) % 19.68/19.94 (define @t70 () (tptp.multiply @t69 tptp.sk_c7)) % 19.68/19.94 (define @t71 () (not (= @t70 tptp.sk_c8))) % 19.68/19.94 (define @t72 () (tptp.inverse @t69)) % 19.68/19.94 (define @t73 () (not (= @t72 tptp.sk_c8))) % 19.68/19.94 (define @t74 () (@var "X3" $$unsorted)) % 19.68/19.94 (define @t75 () (tptp.multiply @t74 tptp.sk_c8)) % 19.68/19.94 (define @t76 () (not (= @t75 tptp.sk_c9))) % 19.68/19.94 (define @t77 () (tptp.inverse @t74)) % 19.68/19.94 (define @t78 () (not (= @t77 tptp.sk_c9))) % 19.68/19.94 (define @t79 () (not @t11)) % 19.68/19.94 (define @t80 () (or @t79 @t78 @t76 @t73 @t71 @t68 @t66 @t63 @t62 @t60 @t57 @t55 @t53)) % 19.68/19.94 (define @t81 () (@list @t74 @t69 @t64 @t58 @t51 @t50)) % 19.68/19.94 (define @t82 () (forall @t81 @t80)) % 19.68/19.94 (define @t83 () (= tptp.sk_c9 @t32)) % 19.68/19.94 (define @t84 () (not @t83)) % 19.68/19.94 (define @t85 () (= tptp.sk_c9 @t14)) % 19.68/19.94 (define @t86 () (not @t85)) % 19.68/19.94 (define @t87 () (or @t86 @t84)) % 19.68/19.94 (define @t88 () (not (= tptp.sk_c9 @t75))) % 19.68/19.94 (define @t89 () (not (= tptp.sk_c9 @t77))) % 19.68/19.94 (define @t90 () (or @t89 @t88)) % 19.68/19.94 (define @t91 () (forall (@list @t74) @t90)) % 19.68/19.94 (define @t92 () (@list tptp.sk_c1)) % 19.68/19.94 (define @t93 () (@list tptp.sk_c8)) % 19.68/19.94 (define @t94 () (@list tptp.sk_c9)) % 19.68/19.94 (define @t95 () (@list tptp.sk_c2)) % 19.68/19.94 (define @t96 () (tptp.inverse tptp.sk_c9)) % 19.68/19.94 (define @t97 () (tptp.multiply @t96 @t96)) % 19.68/19.94 (define @t98 () (tptp.multiply @t96 tptp.identity)) % 19.68/19.94 (define @t99 () (tptp.multiply @t97 tptp.sk_c8)) % 19.68/19.94 (define @t100 () (tptp.multiply @t99 tptp.sk_c9)) % 19.68/19.94 (define @t101 () (tptp.multiply @t97 @t10)) % 19.68/19.94 (define @t102 () (= @t100 @t101)) % 19.68/19.94 (define @t103 () (@list @t97 tptp.sk_c8 tptp.sk_c9)) % 19.68/19.94 (define @t104 () (= @t101 @t100)) % 19.68/19.94 (define @t105 () (@list false)) % 19.68/19.94 (define @t106 () (= tptp.sk_c8 @t37)) % 19.68/19.94 (define @t107 () (tptp.multiply tptp.sk_c2 @t10)) % 19.68/19.94 (define @t108 () (= tptp.sk_c8 @t107)) % 19.68/19.94 (define @t109 () (tptp.multiply tptp.identity tptp.identity)) % 19.68/19.94 (define @t110 () (= tptp.identity @t109)) % 19.68/19.94 (define @t111 () (tptp.multiply tptp.identity tptp.sk_c8)) % 19.68/19.94 (define @t112 () (= tptp.sk_c8 @t111)) % 19.68/19.94 (define @t113 () (tptp.multiply @t96 tptp.sk_c9)) % 19.68/19.94 (define @t114 () (= tptp.identity @t113)) % 19.68/19.94 (define @t115 () (tptp.multiply tptp.identity @t10)) % 19.68/19.94 (define @t116 () (= @t10 @t115)) % 19.68/19.94 (define @t117 () (tptp.multiply tptp.identity tptp.sk_c1)) % 19.68/19.94 (define @t118 () (= tptp.sk_c1 @t117)) % 19.68/19.94 (define @t119 () (tptp.multiply @t14 tptp.sk_c1)) % 19.68/19.94 (define @t120 () (= tptp.identity @t119)) % 19.68/19.94 (define @t121 () (tptp.multiply tptp.identity tptp.sk_c2)) % 19.68/19.94 (define @t122 () (= tptp.sk_c2 @t121)) % 19.68/19.94 (define @t123 () (tptp.multiply @t37 tptp.sk_c2)) % 19.68/19.94 (define @t124 () (= tptp.identity @t123)) % 19.68/19.94 (define @t125 () (tptp.multiply tptp.identity @t96)) % 19.68/19.94 (define @t126 () (= @t96 @t125)) % 19.68/19.94 (define @t127 () (tptp.multiply tptp.sk_c9 tptp.sk_c1)) % 19.68/19.94 (define @t128 () (tptp.multiply @t96 @t127)) % 19.68/19.94 (define @t129 () (tptp.multiply @t113 tptp.sk_c1)) % 19.68/19.94 (define @t130 () (= @t129 @t128)) % 19.68/19.94 (define @t131 () (tptp.multiply @t96 tptp.sk_c8)) % 19.68/19.94 (define @t132 () (tptp.multiply tptp.identity @t131)) % 19.68/19.94 (define @t133 () (tptp.multiply @t125 tptp.sk_c8)) % 19.68/19.94 (define @t134 () (= @t133 @t132)) % 19.68/19.94 (define @t135 () (tptp.multiply @t98 tptp.sk_c8)) % 19.68/19.94 (define @t136 () (= @t135 (tptp.multiply @t96 @t111))) % 19.68/19.94 (define @t137 () (tptp.multiply tptp.sk_c8 @t96)) % 19.68/19.94 (define @t138 () (tptp.multiply @t137 tptp.identity)) % 19.68/19.94 (define @t139 () (= @t138 (tptp.multiply tptp.sk_c8 @t98))) % 19.68/19.94 (define @t140 () (tptp.multiply tptp.sk_c8 @t131)) % 19.68/19.94 (define @t141 () (= (tptp.multiply @t137 tptp.sk_c8) @t140)) % 19.68/19.94 (define @t142 () (tptp.multiply @t96 @t98)) % 19.68/19.94 (define @t143 () (tptp.multiply @t97 tptp.identity)) % 19.68/19.94 (define @t144 () (= @t143 @t142)) % 19.68/19.94 (define @t145 () (tptp.multiply @t96 @t131)) % 19.68/19.94 (define @t146 () (= @t99 @t145)) % 19.68/19.94 (define @t147 () (tptp.multiply tptp.sk_c8 tptp.sk_c2)) % 19.68/19.94 (define @t148 () (tptp.multiply @t97 @t147)) % 19.68/19.94 (define @t149 () (tptp.multiply @t99 tptp.sk_c2)) % 19.68/19.94 (define @t150 () (= @t149 @t148)) % 19.68/19.94 (define @t151 () (tptp.multiply @t96 @t115)) % 19.68/19.94 (define @t152 () (tptp.multiply @t98 @t10)) % 19.68/19.94 (define @t153 () (= @t152 @t151)) % 19.68/19.94 (define @t154 () (tptp.multiply @t96 @t10)) % 19.68/19.94 (define @t155 () (= @t101 (tptp.multiply @t96 @t154))) % 19.68/19.94 (define @t156 () (tptp.multiply @t96 @t152)) % 19.68/19.94 (define @t157 () (tptp.multiply @t142 @t10)) % 19.68/19.94 (define @t158 () (= @t157 @t156)) % 19.68/19.94 (define @t159 () (tptp.multiply @t109 tptp.sk_c1)) % 19.68/19.94 (define @t160 () (tptp.multiply tptp.identity @t117)) % 19.68/19.94 (define @t161 () (tptp.multiply tptp.identity @t121)) % 19.68/19.94 (define @t162 () (tptp.multiply @t109 tptp.sk_c2)) % 19.68/19.94 (define @t163 () (tptp.multiply tptp.identity @t115)) % 19.68/19.94 (define @t164 () (tptp.multiply @t109 @t10)) % 19.68/19.94 (define @t165 () (tptp.multiply tptp.sk_c9 @t10)) % 19.68/19.94 (define @t166 () (= tptp.sk_c8 @t165)) % 19.68/19.94 (define @t167 () (and @t85 @t83 @t106 @t108 @t110 @t112 @t114 @t116 @t118 @t120 @t122 @t124 @t126 @t130 @t134 @t136 @t139 @t141 @t144 @t146 @t150 @t153 @t155 @t158 @t104)) % 19.68/19.94 (define @t168 () (not @t104)) % 19.68/19.94 (define @t169 () (not @t158)) % 19.68/19.94 (define @t170 () (not @t155)) % 19.68/19.94 (define @t171 () (not @t153)) % 19.68/19.94 (define @t172 () (not @t150)) % 19.68/19.94 (define @t173 () (not @t146)) % 19.68/19.94 (define @t174 () (not @t144)) % 19.68/19.94 (define @t175 () (not @t136)) % 19.68/19.94 (define @t176 () (not @t130)) % 19.68/19.94 (define @t177 () (not @t126)) % 19.68/19.94 (define @t178 () (not @t124)) % 19.68/19.94 (define @t179 () (not @t122)) % 19.68/19.94 (define @t180 () (not @t120)) % 19.68/19.94 (define @t181 () (not @t118)) % 19.68/19.94 (define @t182 () (not @t116)) % 19.68/19.94 (define @t183 () (not @t114)) % 19.68/19.94 (define @t184 () (not @t112)) % 19.68/19.94 (define @t185 () (not @t110)) % 19.68/19.94 (define @t186 () (not @t108)) % 19.68/19.94 (define @t187 () (not @t106)) % 19.68/19.94 (define @t188 () (= tptp.sk_c8 @t14)) % 19.68/19.94 (define @t189 () (and @t85 @t83 @t106 @t108 @t110 @t112 @t114 @t116 @t118 @t120 @t122 @t124 @t126 @t130 @t134 @t136 @t144 @t146 @t150 @t153 @t155 @t158 @t104)) % 19.68/19.94 (define @t190 () (tptp.multiply @t96 @t109)) % 19.68/19.94 (define @t191 () (tptp.multiply @t98 tptp.identity)) % 19.68/19.94 (define @t192 () (= @t191 @t190)) % 19.68/19.94 (define @t193 () (= tptp.sk_c8 (tptp.multiply tptp.sk_c1 @t10))) % 19.68/19.94 (define @t194 () (and @t85 @t83 @t106 @t108 @t110 @t112 @t114 @t116 @t118 @t120 @t122 @t124 @t126 @t130 @t134 @t136 @t139 @t141 @t192 @t144 @t146 @t150 @t153 @t155 @t158 @t104)) % 19.68/19.94 (define @t195 () (not @t193)) % 19.68/19.94 (define @t196 () (not @t188)) % 19.68/19.94 (define @t197 () (or @t196 @t195)) % 19.68/19.94 (define @t198 () (not (= tptp.sk_c8 @t72))) % 19.68/19.94 (define @t199 () (@list @t69)) % 19.68/19.94 (define @t200 () (forall @t199 (or @t198 (not (= tptp.sk_c8 (tptp.multiply @t69 @t10)))))) % 19.68/19.94 (define @t201 () (not @t200)) % 19.68/19.94 (define @t202 () (= tptp.sk_c8 @t10)) % 19.68/19.94 (define @t203 () (tptp.inverse tptp.identity)) % 19.68/19.94 (define @t204 () (tptp.inverse tptp.sk_c8)) % 19.68/19.94 (define @t205 () (= tptp.sk_c9 @t204)) % 19.68/19.94 (define @t206 () (not @t205)) % 19.68/19.94 (define @t207 () (not @t202)) % 19.68/19.94 (define @t208 () (or @t207 @t206)) % 19.68/19.94 (define @t209 () (not @t208)) % 19.68/19.94 (define @t210 () (not (= tptp.sk_c9 @t65))) % 19.68/19.94 (define @t211 () (not (= tptp.sk_c8 @t67))) % 19.68/19.94 (define @t212 () (or @t211 @t210)) % 19.68/19.94 (define @t213 () (forall (@list @t64) @t212)) % 19.68/19.94 (define @t214 () (not @t213)) % 19.68/19.94 (define @t215 () (@list true 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)) % 19.68/19.94 (define @t216 () (= tptp.sk_c9 (tptp.multiply tptp.sk_c8 tptp.sk_c8))) % 19.68/19.94 (define @t217 () (= tptp.sk_c8 @t204)) % 19.68/19.94 (define @t218 () (not @t217)) % 19.68/19.94 (define @t219 () (not @t216)) % 19.68/19.94 (define @t220 () (or @t219 @t218)) % 19.68/19.94 (define @t221 () (not @t220)) % 19.68/19.94 (define @t222 () (not (= tptp.sk_c8 @t59))) % 19.68/19.94 (define @t223 () (not (= tptp.sk_c9 @t61))) % 19.68/19.94 (define @t224 () (or @t223 @t222)) % 19.68/19.94 (define @t225 () (forall (@list @t58) @t224)) % 19.68/19.94 (define @t226 () (not @t225)) % 19.68/19.94 (define @t227 () (not (= @t56 @t52))) % 19.68/19.94 (define @t228 () (not (= tptp.sk_c9 (tptp.inverse @t56)))) % 19.68/19.94 (define @t229 () (or @t228 @t227)) % 19.68/19.94 (define @t230 () (@list @t51)) % 19.68/19.94 (define @t231 () (forall @t230 @t229)) % 19.68/19.94 (define @t232 () (not @t166)) % 19.68/19.94 (define @t233 () (not (= @t10 @t10))) % 19.68/19.94 (define @t234 () (= tptp.sk_c8 @t70)) % 19.68/19.94 (define @t235 () (not @t234)) % 19.68/19.94 (define @t236 () (or @t198 @t235)) % 19.68/19.94 (define @t237 () (forall @t199 @t236)) % 19.68/19.94 (define @t238 () (= tptp.sk_c8 @t20)) % 19.68/19.94 (define @t239 () (not @t238)) % 19.68/19.94 (define @t240 () (= tptp.sk_c7 @t10)) % 19.68/19.94 (define @t241 () (not @t240)) % 19.68/19.94 (define @t242 () (not (= @t56 @t56))) % 19.68/19.94 (define @t243 () (or @t242 @t228 @t227)) % 19.68/19.94 (define @t244 () (not (= @t50 @t52))) % 19.68/19.94 (define @t245 () (not (= tptp.sk_c9 @t54))) % 19.68/19.94 (define @t246 () (not (= @t50 @t56))) % 19.68/19.94 (define @t247 () (or @t246 @t246 @t245 @t244)) % 19.68/19.94 (define @t248 () (@list @t50)) % 19.68/19.94 (define @t249 () (or @t246 @t245 @t244)) % 19.68/19.94 (define @t250 () (forall @t248 @t249)) % 19.68/19.94 (define @t251 () (forall @t230 @t250)) % 19.68/19.94 (define @t252 () (forall (@list @t51 @t50) @t249)) % 19.68/19.94 (define @t253 () (or @t241 @t239 @t91 @t237 @t213 @t225 @t252)) % 19.68/19.94 (define @t254 () (or @t241 @t239 @t90 @t236 @t212 @t224 @t249)) % 19.68/19.94 (define @t255 () (or @t241 @t89 @t88 @t198 @t235 @t211 @t210 @t239 @t223 @t222 @t246 @t245 @t244)) % 19.68/19.94 (define @t256 () (= tptp.sk_c9 (tptp.inverse @t14))) % 19.68/19.94 (define @t257 () (= @t14 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) % 19.68/19.94 (define @t258 () (and @t85 @t83 @t106 @t108 @t110 @t112 @t114 @t116 @t118 @t120 @t122 @t124 @t126 @t130 @t134 @t136 @t192 @t144 @t146 @t150 @t153 @t155 @t158 @t104)) % 19.68/19.94 (define @t259 () (not @t257)) % 19.68/19.94 (define @t260 () (not @t256)) % 19.68/19.94 (define @t261 () (or @t260 @t259)) % 19.68/19.94 (define @t262 () (= tptp.sk_c8 @t12)) % 19.68/19.94 (define @t263 () (= tptp.sk_c8 @t44)) % 19.68/19.94 (define @t264 () (= tptp.sk_c9 @t17)) % 19.68/19.94 (define @t265 () (= tptp.sk_c9 @t23)) % 19.68/19.94 (define @t266 () (= tptp.sk_c8 @t26)) % 19.68/19.94 (define @t267 () (@list tptp.sk_c3)) % 19.68/19.94 (define @t268 () (tptp.multiply @t17 @t12)) % 19.68/19.94 (define @t269 () (tptp.multiply @t17 tptp.sk_c3)) % 19.68/19.94 (define @t270 () (tptp.multiply @t269 tptp.sk_c9)) % 19.68/19.94 (define @t271 () (= @t270 @t268)) % 19.68/19.94 (define @t272 () (not @t271)) % 19.68/19.94 (define @t273 () (tptp.multiply @t26 @t23)) % 19.68/19.94 (define @t274 () (tptp.multiply @t26 tptp.sk_c4)) % 19.68/19.94 (define @t275 () (tptp.multiply @t274 tptp.sk_c8)) % 19.68/19.94 (define @t276 () (= @t275 @t273)) % 19.68/19.94 (define @t277 () (not @t276)) % 19.68/19.94 (define @t278 () (tptp.multiply tptp.sk_c9 tptp.sk_c8)) % 19.68/19.94 (define @t279 () (tptp.multiply @t96 @t278)) % 19.68/19.94 (define @t280 () (tptp.multiply @t113 tptp.sk_c8)) % 19.68/19.94 (define @t281 () (= @t280 @t279)) % 19.68/19.94 (define @t282 () (not @t281)) % 19.68/19.94 (define @t283 () (= tptp.identity @t274)) % 19.68/19.94 (define @t284 () (not @t283)) % 19.68/19.94 (define @t285 () (= tptp.identity @t269)) % 19.68/19.94 (define @t286 () (not @t285)) % 19.68/19.94 (define @t287 () (tptp.multiply tptp.identity tptp.sk_c9)) % 19.68/19.94 (define @t288 () (= tptp.sk_c9 @t287)) % 19.68/19.94 (define @t289 () (not @t288)) % 19.68/19.94 (define @t290 () (not @t266)) % 19.68/19.94 (define @t291 () (not @t265)) % 19.68/19.94 (define @t292 () (not @t264)) % 19.68/19.94 (define @t293 () (not @t262)) % 19.68/19.94 (define @t294 () (tptp.multiply tptp.identity @t287)) % 19.68/19.94 (define @t295 () (tptp.multiply @t109 tptp.sk_c9)) % 19.68/19.94 (define @t296 () (tptp.multiply @t109 tptp.sk_c8)) % 19.68/19.94 (define @t297 () (tptp.multiply tptp.identity @t111)) % 19.68/19.94 (define @t298 () (and @t288 @t205 @t217 @t85 @t196)) % 19.68/19.94 (define @t299 () (tptp.multiply tptp.identity tptp.sk_c3)) % 19.68/19.94 (define @t300 () (= tptp.sk_c3 @t299)) % 19.68/19.94 (define @t301 () (tptp.multiply tptp.sk_c9 tptp.sk_c3)) % 19.68/19.94 (define @t302 () (tptp.multiply @t96 @t301)) % 19.68/19.94 (define @t303 () (tptp.multiply @t113 tptp.sk_c3)) % 19.68/19.94 (define @t304 () (= @t303 @t302)) % 19.68/19.94 (define @t305 () (tptp.multiply tptp.identity @t299)) % 19.68/19.94 (define @t306 () (tptp.multiply @t109 tptp.sk_c3)) % 19.68/19.94 (define @t307 () (and @t85 @t262 @t264 @t83 @t110 @t112 @t288 @t114 @t118 @t120 @t300 @t285 @t130 @t192 @t281 @t304 @t271)) % 19.68/19.94 (define @t308 () (not @t304)) % 19.68/19.94 (define @t309 () (not @t192)) % 19.68/19.94 (define @t310 () (not @t300)) % 19.68/19.94 (define @t311 () (tptp.multiply tptp.sk_c8 @t278)) % 19.68/19.94 (define @t312 () (tptp.multiply @t10 tptp.sk_c8)) % 19.68/19.94 (define @t313 () (= @t312 @t311)) % 19.68/19.94 (define @t314 () (tptp.multiply tptp.sk_c8 @t10)) % 19.68/19.94 (define @t315 () (and @t85 @t262 @t264 @t110 @t112 @t288 @t114 @t116 @t118 @t120 @t285 @t130 @t313 @t153 @t281 @t271)) % 19.68/19.94 (define @t316 () (tptp.multiply tptp.sk_c8 tptp.identity)) % 19.68/19.94 (define @t317 () (tptp.multiply @t316 tptp.identity)) % 19.68/19.94 (define @t318 () (= @t317 (tptp.multiply tptp.sk_c8 @t109))) % 19.68/19.94 (define @t319 () (tptp.multiply tptp.sk_c8 @t111)) % 19.68/19.94 (define @t320 () (= (tptp.multiply @t316 tptp.sk_c8) @t319)) % 19.68/19.94 (define @t321 () (and @t262 @t264 @t265 @t266 @t110 @t112 @t288 @t114 @t285 @t283 @t318 @t320 @t281 @t276 @t271)) % 19.68/19.94 (define @t322 () (and @t262 @t264 @t265 @t266 @t110 @t112 @t288 @t114 @t285 @t283 @t281 @t276 @t271)) % 19.68/19.94 (define @t323 () (and @t85 @t262 @t264 @t265 @t266 @t110 @t112 @t288 @t114 @t285 @t283 @t281 @t276 @t271)) % 19.68/19.94 (define @t324 () (and @t85 @t262 @t264 @t265 @t266 @t110 @t112 @t288 @t114 @t118 @t120 @t300 @t285 @t283 @t130 @t281 @t276 @t304 @t271)) % 19.68/19.94 (define @t325 () (tptp.inverse @t10)) % 19.68/19.94 (define @t326 () (tptp.multiply tptp.identity @t325)) % 19.68/19.94 (define @t327 () (= @t325 @t326)) % 19.68/19.94 (define @t328 () (tptp.inverse @t325)) % 19.68/19.94 (define @t329 () (tptp.inverse @t328)) % 19.68/19.94 (define @t330 () (tptp.multiply tptp.sk_c8 @t326)) % 19.68/19.94 (define @t331 () (tptp.multiply tptp.sk_c8 @t325)) % 19.68/19.94 (define @t332 () (tptp.inverse @t331)) % 19.68/19.94 (define @t333 () (tptp.inverse @t332)) % 19.68/19.94 (define @t334 () (tptp.inverse @t333)) % 19.68/19.94 (define @t335 () (tptp.inverse @t329)) % 19.68/19.94 (define @t336 () (tptp.inverse @t335)) % 19.68/19.94 (define @t337 () (tptp.inverse @t336)) % 19.68/19.94 (define @t338 () (tptp.inverse @t337)) % 19.68/19.94 (define @t339 () (and @t85 @t262 @t264 @t265 @t266 @t83 @t110 @t112 @t288 @t114 @t118 @t120 @t300 @t285 @t283 @t327 @t130 @t192 @t281 @t276 @t304 @t271)) % 19.68/19.94 (define @t340 () (not @t327)) % 19.68/19.94 (define @t341 () (tptp.multiply @t96 @t165)) % 19.68/19.94 (define @t342 () (tptp.multiply @t113 @t10)) % 19.68/19.94 (define @t343 () (= @t342 @t341)) % 19.68/19.94 (define @t344 () (and @t85 @t262 @t264 @t166 @t110 @t112 @t288 @t114 @t116 @t118 @t120 @t285 @t130 @t192 @t281 @t343 @t271)) % 19.68/19.94 (define @t345 () (not @t343)) % 19.68/19.94 (define @t346 () (@list true)) % 19.68/19.94 (define @t347 () (@list @t85)) % 19.68/19.94 (define @t348 () (= tptp.sk_c8 (tptp.multiply tptp.sk_c3 @t10))) % 19.68/19.94 (define @t349 () (and @t262 @t264 @t265 @t266 @t166 @t110 @t112 @t288 @t114 @t116 @t300 @t285 @t283 @t281 @t276 @t343 @t304 @t271)) % 19.68/19.94 (define @t350 () (= tptp.sk_c8 @t17)) % 19.68/19.94 (define @t351 () (not @t348)) % 19.68/19.94 (define @t352 () (not @t350)) % 19.68/19.94 (define @t353 () (or @t352 @t351)) % 19.68/19.94 (define @t354 () (not @t353)) % 19.68/19.94 (define @t355 () (tptp.inverse @t17)) % 19.68/19.94 (define @t356 () (= @t355 (tptp.multiply tptp.identity @t355))) % 19.68/19.94 (define @t357 () (tptp.multiply @t325 @t109)) % 19.68/19.94 (define @t358 () (tptp.multiply @t325 tptp.identity)) % 19.68/19.94 (define @t359 () (= (tptp.multiply @t358 tptp.identity) @t357)) % 19.68/19.94 (define @t360 () (tptp.multiply @t358 tptp.sk_c8)) % 19.68/19.94 (define @t361 () (= @t360 (tptp.multiply @t325 @t111))) % 19.68/19.94 (define @t362 () (tptp.multiply tptp.sk_c8 @t125)) % 19.68/19.94 (define @t363 () (tptp.inverse @t358)) % 19.68/19.94 (define @t364 () (tptp.multiply @t325 tptp.sk_c8)) % 19.68/19.94 (define @t365 () (tptp.inverse @t364)) % 19.68/19.94 (define @t366 () (tptp.inverse @t365)) % 19.68/19.94 (define @t367 () (tptp.inverse @t363)) % 19.68/19.94 (define @t368 () (tptp.inverse @t367)) % 19.68/19.94 (define @t369 () (tptp.inverse @t366)) % 19.68/19.94 (define @t370 () (tptp.inverse @t137)) % 19.68/19.94 (define @t371 () (tptp.inverse @t355)) % 19.68/19.94 (define @t372 () (tptp.inverse @t96)) % 19.68/19.94 (define @t373 () (tptp.inverse @t372)) % 19.68/19.94 (define @t374 () (tptp.inverse @t371)) % 19.68/19.94 (define @t375 () (tptp.inverse @t374)) % 19.68/19.94 (define @t376 () (tptp.inverse @t373)) % 19.68/19.94 (define @t377 () (tptp.inverse @t376)) % 19.68/19.94 (define @t378 () (tptp.inverse @t375)) % 19.68/19.94 (define @t379 () (tptp.inverse @t378)) % 19.68/19.94 (define @t380 () (tptp.inverse @t377)) % 19.68/19.94 (define @t381 () (tptp.inverse @t380)) % 19.68/19.94 (define @t382 () (and @t262 @t264 @t265 @t266 @t166 @t110 @t112 @t288 @t114 @t116 @t300 @t285 @t283 @t126 @t327 @t356 @t359 @t361 @t281 @t276 @t343 @t304 @t271)) % 19.68/19.94 (define @t383 () (not @t361)) % 19.68/19.94 (define @t384 () (not @t359)) % 19.68/19.94 (define @t385 () (not @t356)) % 19.68/19.94 (define @t386 () (@list false false false false false false false false false false false false false false false false false false false false false false false)) % 19.68/19.94 (define @t387 () (@list @t166 @t262 @t264 @t265 @t266 @t110 @t112 @t288 @t114 @t116 @t300 @t285 @t283 @t126 @t327 @t356 @t359 @t361 @t281 @t276 @t343 @t304 @t271)) % 19.68/19.94 (define @t388 () (@list false false)) % 19.68/19.94 (define @t389 () (= tptp.sk_c9 (tptp.multiply tptp.sk_c3 tptp.sk_c8))) % 19.68/19.94 (define @t390 () (not @t389)) % 19.68/19.94 (define @t391 () (and @t389 @t390)) % 19.68/19.94 (define @t392 () (@list false false false false false false false false false false false false false false false false false false)) % 19.68/19.94 (define @t393 () (@list @t166 @t262 @t264 @t265 @t266 @t110 @t112 @t288 @t114 @t116 @t300 @t285 @t283 @t281 @t276 @t343 @t304 @t271)) % 19.68/19.94 (define @t394 () (or @t292 @t390)) % 19.68/19.94 (define @t395 () (not @t394)) % 19.68/19.94 (define @t396 () (not (= @t17 @t12))) % 19.68/19.94 (define @t397 () (= tptp.sk_c9 @t355)) % 19.68/19.94 (define @t398 () (not @t397)) % 19.68/19.94 (define @t399 () (or @t398 @t396)) % 19.68/19.94 (define @t400 () (= @t12 @t17)) % 19.68/19.94 (define @t401 () (not @t400)) % 19.68/19.94 (define @t402 () (or @t398 @t401)) % 19.68/19.94 (define @t403 () (and @t262 @t264 @t166 @t110 @t112 @t288 @t114 @t116 @t300 @t285 @t126 @t327 @t356 @t359 @t361 @t281 @t343 @t304 @t271)) % 19.68/19.94 (assume @p1 @t4) % 19.68/19.94 (assume @p2 @t6) % 19.68/19.94 (assume @p3 @t9) % 19.68/19.94 (assume @p4 @t11) % 19.68/19.94 (assume @p5 @t16) % 19.68/19.94 (assume @p6 @t19) % 19.68/19.94 (assume @p7 @t22) % 19.68/19.94 (assume @p8 @t25) % 19.68/19.94 (assume @p9 @t28) % 19.68/19.94 (assume @p10 (or @t15 @t29)) % 19.68/19.94 (assume @p11 (or @t15 @t30)) % 19.68/19.94 (assume @p12 (or @t15 @t31)) % 19.68/19.94 (assume @p13 @t34) % 19.68/19.94 (assume @p14 @t35) % 19.68/19.94 (assume @p15 @t36) % 19.68/19.94 (assume @p16 (or @t33 @t24)) % 19.68/19.94 (assume @p17 (or @t33 @t27)) % 19.68/19.94 (assume @p18 (or @t33 @t29)) % 19.68/19.94 (assume @p19 (or @t33 @t30)) % 19.68/19.94 (assume @p20 (or @t33 @t31)) % 19.68/19.94 (assume @p21 @t39) % 19.68/19.94 (assume @p22 @t40) % 19.68/19.94 (assume @p23 @t41) % 19.68/19.94 (assume @p24 @t42) % 19.68/19.94 (assume @p25 @t43) % 19.68/19.94 (assume @p26 (or @t38 @t29)) % 19.68/19.94 (assume @p27 (or @t38 @t30)) % 19.68/19.94 (assume @p28 (or @t38 @t31)) % 19.68/19.94 (assume @p29 @t46) % 19.68/19.94 (assume @p30 @t47) % 19.68/19.94 (assume @p31 (or @t45 @t21)) % 19.68/19.94 (assume @p32 @t48) % 19.68/19.94 (assume @p33 @t49) % 19.68/19.94 (assume @p34 (or @t45 @t29)) % 19.68/19.94 (assume @p35 (or @t45 @t30)) % 19.68/19.94 (assume @p36 (or @t45 @t31)) % 19.68/19.94 (assume @p37 @t82) % 19.68/19.94 (step @p38 :rule cnf_or_pos :args (@t87)) % 19.68/19.94 (step @p39 :rule reordering :premises (@p38) :args ((or @t86 @t84 (not @t87)))) % 19.68/19.94 (assume-push @p3911 @t91) % 19.68/19.94 (step @p41 :rule instantiate :premises (@p3911) :args (@t92)) % 19.68/19.94 (step-pop @p3912 :rule scope :premises (@p41)) % 19.68/19.94 (step @p42 :rule process_scope :premises (@p3912) :args (@t87)) % 19.68/19.94 (step @p44 :rule implies_elim :premises (@p42)) % 19.68/19.94 (step @p45 :rule eq-symm :args (@t2 @t1)) % 19.68/19.94 (step @p46 :rule cong :premises (@p45) :args (@t4)) % 19.68/19.94 (step @p47 :rule eq_resolve :premises (@p1 @p46)) % 19.68/19.94 (step @p48 :rule instantiate :premises (@p47) :args ((@list tptp.identity))) % 19.68/19.94 (step @p49 :rule instantiate :premises (@p47) :args (@t93)) % 19.68/19.94 (step @p50 :rule eq-symm :args (@t5 tptp.identity)) % 19.68/19.94 (step @p51 :rule cong :premises (@p50) :args (@t6)) % 19.68/19.94 (step @p52 :rule eq_resolve :premises (@p2 @p51)) % 19.68/19.94 (step @p53 :rule instantiate :premises (@p52) :args (@t94)) % 19.68/19.94 (step @p54 :rule instantiate :premises (@p47) :args ((@list @t10))) % 19.68/19.94 (step @p55 :rule instantiate :premises (@p47) :args (@t92)) % 19.68/19.94 (step @p56 :rule instantiate :premises (@p52) :args (@t92)) % 19.68/19.94 (step @p57 :rule instantiate :premises (@p47) :args (@t95)) % 19.68/19.94 (step @p58 :rule instantiate :premises (@p52) :args (@t95)) % 19.68/19.94 (step @p59 :rule instantiate :premises (@p47) :args ((@list @t96))) % 19.68/19.94 (step @p60 :rule instantiate :premises (@p3) :args ((@list @t96 tptp.sk_c9 tptp.sk_c1))) % 19.68/19.94 (step @p61 :rule instantiate :premises (@p3) :args ((@list tptp.identity @t96 tptp.sk_c8))) % 19.68/19.94 (step @p62 :rule instantiate :premises (@p3) :args ((@list @t96 tptp.identity tptp.sk_c8))) % 19.68/19.94 (step @p63 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c8 @t96 tptp.identity))) % 19.68/19.94 (step @p64 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c8 @t96 tptp.sk_c8))) % 19.68/19.94 (step @p65 :rule instantiate :premises (@p3) :args ((@list @t96 @t96 tptp.identity))) % 19.68/19.94 (step @p66 :rule instantiate :premises (@p3) :args ((@list @t96 @t96 tptp.sk_c8))) % 19.68/19.94 (step @p67 :rule instantiate :premises (@p3) :args ((@list @t97 tptp.sk_c8 tptp.sk_c2))) % 19.68/19.94 (step @p68 :rule instantiate :premises (@p3) :args ((@list @t96 tptp.identity @t10))) % 19.68/19.94 (step @p69 :rule instantiate :premises (@p3) :args ((@list @t96 @t96 @t10))) % 19.68/19.94 (step @p70 :rule instantiate :premises (@p3) :args ((@list @t96 @t98 @t10))) % 19.68/19.94 (step @p71 :rule eq-symm :args (@t100 @t101)) % 19.68/19.94 (step @p72 :rule refl :args (@t9)) % 19.68/19.94 (step @p73 :rule cong :premises (@p72 @p71) :args ((=> @t9 @t102))) % 19.68/19.94 (assume-push @p3913 @t9) % 19.68/19.94 (step @p75 :rule instantiate :premises (@p3) :args (@t103)) % 19.68/19.94 (step-pop @p3914 :rule scope :premises (@p75)) % 19.68/19.94 (step @p76 :rule process_scope :premises (@p3914) :args (@t102)) % 19.68/19.94 (step @p78 :rule eq_resolve :premises (@p76 @p73)) % 19.68/19.94 (step @p79 :rule implies_elim :premises (@p78)) % 19.68/19.94 (step @p80 :rule chain_m_resolution :premises (@p79 @p3) :args (@t104 @t105 (@list @t9))) % 19.68/19.94 (assume-push @p3915 @t85) % 19.68/19.94 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19.68/19.95 (step @p2245 :rule cong :premises (@p1517 @p888) :args (@t297)) % 19.68/19.95 (step @p3735 :rule symm :premises (@p6061)) % 19.68/19.95 (step @p3736 :rule trans :premises (@p3735 @p49 @p2058 @p2057 @p2245 @p1519 @p3734 @p1956 @p1898 @p3725 @p3722 @p2922 @p2921 @p2046 @p2045 @p131 @p3719 @p3717 @p2048 @p2047 @p1648 @p6062)) % 19.68/19.95 (step-pop @p6097 :rule scope :premises (@p3736)) % 19.68/19.95 (step-pop @p6098 :rule scope :premises (@p6097)) % 19.68/19.95 (step-pop @p6099 :rule scope :premises (@p6098)) % 19.68/19.95 (step-pop @p6100 :rule scope :premises (@p6099)) % 19.68/19.95 (step-pop @p6101 :rule scope :premises (@p6100)) % 19.68/19.95 (step-pop @p6102 :rule scope :premises (@p6101)) % 19.68/19.95 (step-pop @p6103 :rule scope :premises (@p6102)) % 19.68/19.95 (step-pop @p6104 :rule scope :premises (@p6103)) % 19.68/19.95 (step-pop @p6105 :rule scope :premises (@p6104)) % 19.68/19.95 (step-pop @p6106 :rule scope :premises (@p6105)) % 19.68/19.95 (step-pop @p6107 :rule scope :premises (@p6106)) % 19.68/19.95 (step-pop @p6108 :rule scope :premises (@p6107)) % 19.68/19.95 (step-pop @p6109 :rule scope :premises (@p6108)) % 19.68/19.95 (step-pop @p6110 :rule scope :premises (@p6109)) % 19.68/19.95 (step-pop @p6111 :rule scope :premises (@p6110)) % 19.68/19.95 (step-pop @p6112 :rule scope :premises (@p6111)) % 19.68/19.95 (step-pop @p6113 :rule scope :premises (@p6112)) % 19.68/19.95 (step-pop @p6114 :rule scope :premises (@p6113)) % 19.68/19.95 (step @p3737 :rule process_scope :premises (@p6114) :args (@t400)) % 19.68/19.95 (step @p3756 :rule and_intro :premises (@p6062 @p1515 @p48 @p53 @p1516 @p1520 @p6061 @p1518 @p49 @p54 @p2765 @p6065 @p1898 @p1897 @p6064 @p6063 @p1519 @p1517)) % 19.68/19.95 (step @p3757 :rule modus_ponens :premises (@p3756 @p3737)) % 19.68/19.95 (step-pop @p6115 :rule scope :premises (@p3757)) % 19.68/19.95 (step-pop @p6116 :rule scope :premises (@p6115)) % 19.68/19.95 (step-pop @p6117 :rule scope :premises (@p6116)) % 19.68/19.95 (step-pop @p6118 :rule scope :premises (@p6117)) % 19.68/19.95 (step-pop @p6119 :rule scope :premises (@p6118)) % 19.68/19.95 (step-pop @p6120 :rule scope :premises (@p6119)) % 19.68/19.95 (step-pop @p6121 :rule scope :premises (@p6120)) % 19.68/19.95 (step-pop @p6122 :rule scope :premises (@p6121)) % 19.68/19.95 (step-pop @p6123 :rule scope :premises (@p6122)) % 19.68/19.95 (step-pop @p6124 :rule scope :premises (@p6123)) % 19.68/19.95 (step-pop @p6125 :rule scope :premises (@p6124)) % 19.68/19.95 (step-pop @p6126 :rule scope :premises (@p6125)) % 19.68/19.95 (step-pop @p6127 :rule scope :premises (@p6126)) % 19.68/19.95 (step-pop @p6128 :rule scope :premises (@p6127)) % 19.68/19.95 (step-pop @p6129 :rule scope :premises (@p6128)) % 19.68/19.95 (step-pop @p6130 :rule scope :premises (@p6129)) % 19.68/19.95 (step-pop @p6131 :rule scope :premises (@p6130)) % 19.68/19.95 (step-pop @p6132 :rule scope :premises (@p6131)) % 19.68/19.95 (step @p3758 :rule process_scope :premises (@p6132) :args (@t400)) % 19.68/19.95 (step @p3777 :rule implies_elim :premises (@p3758)) % 19.68/19.95 (step @p3778 :rule resolution :premises (@p2991 @p3777) :args (true @t349)) % 19.68/19.95 (step @p3779 :rule reordering :premises (@p3778) :args ((or @t232 @t293 @t292 @t291 @t290 @t185 @t184 @t289 @t183 @t182 @t310 @t286 @t284 @t282 @t277 @t345 @t308 @t272 @t400))) % 19.68/19.95 (step @p3780 :rule chain_m_resolution :premises (@p3779 @p2872 @p2875 @p2878 @p2881 @p2884 @p48 @p49 @p1515 @p53 @p54 @p1897 @p1516 @p1517 @p1518 @p1519 @p2765 @p1898 @p1520) :args (@t400 @t392 @t393)) % 19.68/19.95 (assume-push @p6133 @t262) % 19.68/19.95 (assume-push @p6134 @t264) % 19.68/19.95 (assume-push @p6135 @t166) % 19.68/19.95 (assume-push @p6136 @t110) % 19.68/19.95 (assume-push @p6137 @t112) % 19.68/19.95 (assume-push @p6138 @t288) % 19.68/19.95 (assume-push @p6139 @t114) % 19.68/19.95 (assume-push @p6140 @t116) % 19.68/19.95 (assume-push @p6141 @t300) % 19.68/19.95 (assume-push @p6142 @t285) % 19.68/19.95 (assume-push @p6143 @t126) % 19.68/19.95 (assume-push @p6144 @t327) % 19.68/19.95 (assume-push @p6145 @t356) % 19.68/19.95 (assume-push @p6146 @t359) % 19.68/19.95 (assume-push @p6147 @t361) % 19.68/19.95 (assume-push @p6148 @t281) % 19.68/19.95 (assume-push @p6149 @t343) % 19.68/19.95 (assume-push @p6150 @t304) % 19.68/19.95 (assume-push @p6151 @t271) % 19.68/19.95 (assume-push @p6152 @t264) % 19.68/19.95 (assume-push @p6153 @t288) % 19.68/19.95 (assume-push @p6154 @t110) % 19.68/19.95 (assume-push @p6155 @t114) % 19.68/19.95 (assume-push @p6156 @t285) % 19.68/19.95 (assume-push @p6157 @t271) % 19.68/19.95 (assume-push @p6158 @t262) % 19.68/19.95 (assume-push @p6159 @t281) % 19.68/19.95 (assume-push @p6160 @t112) % 19.68/19.95 (assume-push @p6161 @t300) % 19.68/19.95 (assume-push @p6162 @t304) % 19.68/19.95 (assume-push @p6163 @t356) % 19.68/19.95 (assume-push @p6164 @t126) % 19.68/19.95 (assume-push @p6165 @t327) % 19.68/19.95 (assume-push @p6166 @t359) % 19.68/19.95 (assume-push @p6167 @t361) % 19.68/19.95 (assume-push @p6168 @t116) % 19.68/19.95 (assume-push @p6169 @t343) % 19.68/19.95 (assume-push @p6170 @t166) % 19.68/19.95 (step @p1648 :rule symm :premises (@p1515)) % 19.68/19.95 (step @p137 :rule symm :premises (@p48)) % 19.68/19.95 (step @p2047 :rule cong :premises (@p137 @p1140) :args (@t295)) % 19.68/19.95 (step @p2048 :rule cong :premises (@p48 @p1648) :args (@t294)) % 19.68/19.95 (step @p1950 :rule symm :premises (@p1516)) % 19.68/19.95 (step @p2049 :rule cong :premises (@p1950 @p1515) :args (@t270)) % 19.68/19.95 (step @p2050 :rule symm :premises (@p1520)) % 19.68/19.95 (step @p3819 :rule cong :premises (@p6134 @p6133) :args (@t278)) % 19.68/19.95 (step @p3820 :rule trans :premises (@p3819 @p2050 @p2049 @p2048 @p2047)) % 19.68/19.95 (step @p140 :rule symm :premises (@p53)) % 19.68/19.95 (step @p3821 :rule trans :premises (@p3819 @p2050 @p2049 @p2048 @p2047 @p1648)) % 19.68/19.95 (step @p145 :rule refl :args (@t96)) % 19.68/19.95 (step @p3822 :rule cong :premises (@p145 @p3821) :args (@t279)) % 19.68/19.95 (step @p888 :rule symm :premises (@p49)) % 19.68/19.95 (step @p2056 :rule cong :premises (@p53 @p888) :args (@t297)) % 19.68/19.95 (step @p2057 :rule cong :premises (@p137 @p49) :args (@t296)) % 19.68/19.95 (step @p2058 :rule cong :premises (@p48 @p134) :args (@t111)) % 19.68/19.95 (step @p3823 :rule trans :premises (@p49 @p2058 @p2057 @p2056 @p1518 @p3822 @p140)) % 19.68/19.95 (step @p3824 :rule cong :premises (@p3823 @p3820) :args (@t311)) % 19.68/19.95 (step @p3825 :rule symm :premises (@p3821)) % 19.68/19.95 (step @p3826 :rule cong :premises (@p134 @p3825) :args (@t10)) % 19.68/19.95 (step @p3827 :rule trans :premises (@p3826 @p3824 @p2048 @p2047 @p1648 @p6134)) % 19.68/19.95 (step @p3828 :rule cong :premises (@p3827) :args (@t325)) % 19.68/19.95 (step @p3829 :rule symm :premises (@p3826)) % 19.68/19.95 (step @p3830 :rule symm :premises (@p3824)) % 19.68/19.95 (step @p1651 :rule cong :premises (@p137 @p1515) :args (@t295)) % 19.68/19.95 (step @p1652 :rule cong :premises (@p48 @p1140) :args (@t287)) % 19.68/19.95 (step @p3831 :rule symm :premises (@p6134)) % 19.68/19.95 (step @p1955 :rule symm :premises (@p1897)) % 19.68/19.95 (step @p1951 :rule refl :args (tptp.sk_c3)) % 19.68/19.95 (step @p2512 :rule cong :premises (@p137 @p1951) :args (@t306)) % 19.68/19.95 (step @p2513 :rule cong :premises (@p48 @p1955) :args (@t305)) % 19.68/19.95 (step @p2514 :rule cong :premises (@p140 @p1897) :args (@t303)) % 19.68/19.95 (step @p2515 :rule symm :premises (@p1898)) % 19.68/19.95 (step @p3832 :rule cong :premises (@p3831 @p1951) :args (@t269)) % 19.68/19.95 (step @p3833 :rule trans :premises (@p1516 @p3832)) % 19.68/19.95 (step @p3834 :rule cong :premises (@p145 @p3833) :args (@t98)) % 19.68/19.95 (step @p2159 :rule refl :args (tptp.identity)) % 19.68/19.95 (step @p3835 :rule cong :premises (@p3831) :args (@t355)) % 19.68/19.95 (step @p3181 :rule symm :premises (@p3108)) % 19.68/19.95 (step @p3836 :rule symm :premises (@p3835)) % 19.68/19.95 (step @p152 :rule symm :premises (@p59)) % 19.68/19.95 (step @p3837 :rule trans :premises (@p152 @p3836)) % 19.68/19.95 (step @p3838 :rule cong :premises (@p3823 @p3837) :args (@t362)) % 19.68/19.95 (step @p3185 :rule cong :premises (@p134 @p59) :args (@t137)) % 19.68/19.95 (step @p3839 :rule trans :premises (@p3185 @p3838 @p3181)) % 19.68/19.95 (step @p3187 :rule symm :premises (@p3185)) % 19.68/19.95 (step @p3840 :rule symm :premises (@p3838)) % 19.68/19.95 (step @p2542 :rule symm :premises (@p2456)) % 19.68/19.95 (step @p3841 :rule trans :premises (@p2542 @p3828 @p3108 @p3840 @p3187)) % 19.68/19.95 (step @p3842 :rule trans :premises (@p2456 @p3841 @p3839 @p3835)) % 19.68/19.95 (step @p3843 :rule cong :premises (@p3842 @p2159) :args (@t358)) % 19.68/19.95 (step @p3844 :rule trans :premises (@p3843 @p3834 @p2515 @p2514 @p2513 @p2512 @p1955)) % 19.68/19.95 (step @p3845 :rule cong :premises (@p3844) :args (@t363)) % 19.68/19.95 (step @p3846 :rule trans :premises (@p3845 @p3831 @p1515 @p1652 @p1651 @p3830 @p3829)) % 19.68/19.95 (step @p3847 :rule cong :premises (@p3846) :args (@t367)) % 19.68/19.95 (step @p3196 :rule refl :args (@t325)) % 19.68/19.95 (step @p3197 :rule cong :premises (@p3196 @p137) :args (@t357)) % 19.68/19.95 (step @p3198 :rule refl :args (@t358)) % 19.68/19.95 (step @p3848 :rule cong :premises (@p3198 @p3823) :args (@t360)) % 19.68/19.95 (step @p3200 :rule symm :premises (@p3106)) % 19.68/19.95 (step @p3201 :rule cong :premises (@p3196 @p49) :args (@t364)) % 19.68/19.95 (step @p3849 :rule trans :premises (@p3201 @p3200 @p3848 @p3107 @p3197)) % 19.68/19.95 (step @p3850 :rule cong :premises (@p3849) :args (@t365)) % 19.68/19.95 (step @p3851 :rule cong :premises (@p3850) :args (@t366)) % 19.68/19.95 (step @p3852 :rule symm :premises (@p3850)) % 19.68/19.95 (step @p3853 :rule symm :premises (@p3845)) % 19.68/19.95 (step @p131 :rule symm :premises (@p54)) % 19.68/19.95 (step @p2045 :rule cong :premises (@p137 @p166) :args (@t164)) % 19.68/19.95 (step @p2046 :rule cong :premises (@p48 @p131) :args (@t163)) % 19.68/19.95 (step @p2921 :rule cong :premises (@p140 @p54) :args (@t342)) % 19.68/19.95 (step @p2922 :rule symm :premises (@p2765)) % 19.68/19.95 (step @p1702 :rule cong :premises (@p137 @p134) :args (@t296)) % 19.68/19.95 (step @p1703 :rule cong :premises (@p48 @p888) :args (@t297)) % 19.68/19.95 (step @p1704 :rule cong :premises (@p140 @p49) :args (@t280)) % 19.68/19.95 (step @p1705 :rule symm :premises (@p1518)) % 19.68/19.95 (step @p3854 :rule symm :premises (@p3822)) % 19.68/19.95 (step @p3855 :rule trans :premises (@p53 @p3854 @p1705 @p1704 @p1703 @p1702 @p888 @p6135)) % 19.68/19.95 (step @p3856 :rule cong :premises (@p145 @p3855) :args (@t98)) % 19.68/19.95 (step @p3857 :rule symm :premises (@p3834)) % 19.68/19.95 (step @p1956 :rule cong :premises (@p53 @p1955) :args (@t305)) % 19.68/19.95 (step @p1957 :rule cong :premises (@p137 @p1897) :args (@t306)) % 19.68/19.95 (step @p1958 :rule cong :premises (@p48 @p1951) :args (@t299)) % 19.68/19.95 (step @p3858 :rule trans :premises (@p1897 @p1958 @p1957 @p1956 @p1898 @p3857 @p3856 @p2922 @p2921 @p2046 @p2045 @p131 @p3826 @p3824 @p2048 @p2047 @p1648 @p6134 @p3853 @p3852)) % 19.68/19.95 (step @p3859 :rule cong :premises (@p3858) :args (@t17)) % 19.68/19.95 (step @p3860 :rule trans :premises (@p6134 @p3859 @p3851 @p3847 @p3828)) % 19.68/19.95 (step-pop @p6171 :rule scope :premises (@p3860)) % 19.68/19.95 (step-pop @p6172 :rule scope :premises (@p6171)) % 19.68/19.95 (step-pop @p6173 :rule scope :premises (@p6172)) % 19.68/19.95 (step-pop @p6174 :rule scope :premises (@p6173)) % 19.68/19.95 (step-pop @p6175 :rule scope :premises (@p6174)) % 19.68/19.95 (step-pop @p6176 :rule scope :premises (@p6175)) % 19.68/19.95 (step-pop @p6177 :rule scope :premises (@p6176)) % 19.68/19.95 (step-pop @p6178 :rule scope :premises (@p6177)) % 19.68/19.95 (step-pop @p6179 :rule scope :premises (@p6178)) % 19.68/19.95 (step-pop @p6180 :rule scope :premises (@p6179)) % 19.68/19.95 (step-pop @p6181 :rule scope :premises (@p6180)) % 19.68/19.95 (step-pop @p6182 :rule scope :premises (@p6181)) % 19.68/19.95 (step-pop @p6183 :rule scope :premises (@p6182)) % 19.68/19.95 (step-pop @p6184 :rule scope :premises (@p6183)) % 19.68/19.95 (step-pop @p6185 :rule scope :premises (@p6184)) % 19.68/19.95 (step-pop @p6186 :rule scope :premises (@p6185)) % 19.68/19.95 (step-pop @p6187 :rule scope :premises (@p6186)) % 19.68/19.95 (step-pop @p6188 :rule scope :premises (@p6187)) % 19.68/19.95 (step-pop @p6189 :rule scope :premises (@p6188)) % 19.68/19.95 (step @p3861 :rule process_scope :premises (@p6189) :args (@t397)) % 19.68/19.95 (step @p3881 :rule and_intro :premises (@p6134 @p1515 @p48 @p53 @p1516 @p1520 @p6133 @p1518 @p49 @p1897 @p1898 @p3108 @p59 @p2456 @p3107 @p3106 @p54 @p2765 @p6135)) % 19.68/19.95 (step @p3882 :rule modus_ponens :premises (@p3881 @p3861)) % 19.68/19.95 (step-pop @p6190 :rule scope :premises (@p3882)) % 19.68/19.95 (step-pop @p6191 :rule scope :premises (@p6190)) % 19.68/19.95 (step-pop @p6192 :rule scope :premises (@p6191)) % 19.68/19.95 (step-pop @p6193 :rule scope :premises (@p6192)) % 19.68/19.95 (step-pop @p6194 :rule scope :premises (@p6193)) % 19.68/19.95 (step-pop @p6195 :rule scope :premises (@p6194)) % 19.68/19.95 (step-pop @p6196 :rule scope :premises (@p6195)) % 19.68/19.95 (step-pop @p6197 :rule scope :premises (@p6196)) % 19.68/19.95 (step-pop @p6198 :rule scope :premises (@p6197)) % 19.68/19.95 (step-pop @p6199 :rule scope :premises (@p6198)) % 19.68/19.95 (step-pop @p6200 :rule scope :premises (@p6199)) % 19.68/19.95 (step-pop @p6201 :rule scope :premises (@p6200)) % 19.68/19.95 (step-pop @p6202 :rule scope :premises (@p6201)) % 19.68/19.95 (step-pop @p6203 :rule scope :premises (@p6202)) % 19.68/19.95 (step-pop @p6204 :rule scope :premises (@p6203)) % 19.68/19.95 (step-pop @p6205 :rule scope :premises (@p6204)) % 19.68/19.95 (step-pop @p6206 :rule scope :premises (@p6205)) % 19.68/19.95 (step-pop @p6207 :rule scope :premises (@p6206)) % 19.68/19.95 (step-pop @p6208 :rule scope :premises (@p6207)) % 19.68/19.95 (step @p3883 :rule process_scope :premises (@p6208) :args (@t397)) % 19.68/19.95 (step @p3903 :rule implies_elim :premises (@p3883)) % 19.68/19.95 (step @p3904 :rule cnf_and_neg :args (@t403)) % 19.68/19.95 (step @p3905 :rule resolution :premises (@p3904 @p3903) :args (true @t403)) % 19.68/19.95 (step @p3906 :rule reordering :premises (@p3905) :args ((or @t232 @t293 @t292 @t185 @t184 @t289 @t183 @t182 @t310 @t286 @t177 @t340 @t385 @t384 @t383 @t282 @t345 @t308 @t272 @t397))) % 19.68/19.95 (step @p3907 :rule chain_m_resolution :premises (@p3906 @p2872 @p2875 @p2878 @p48 @p49 @p1515 @p53 @p54 @p1897 @p1516 @p59 @p2456 @p3108 @p3107 @p3106 @p1518 @p2765 @p1898 @p1520) :args (@t397 (@list false false false false false false false false false false false false false false false false false false false) (@list @t166 @t262 @t264 @t110 @t112 @t288 @t114 @t116 @t300 @t285 @t126 @t327 @t356 @t359 @t361 @t281 @t343 @t304 @t271))) % 19.68/19.95 (step @p3908 :rule cnf_or_pos :args (@t402)) % 19.68/19.95 (step @p3909 :rule reordering :premises (@p3908) :args ((or @t398 @t401 (not @t402)))) % 19.68/19.95 (step @p3910 false :rule chain_m_resolution :premises (@p3909 @p3907 @p3780 @p3675) :args (false (@list false false false) (@list @t397 @t400 @t402))) % 19.68/19.95 ) % 19.68/19.95 % SZS output end Proof % 19.68/19.95 % cvc5 exiting %------------------------------------------------------------------------------