%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP352-1 : 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 : n016.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 08:20:34 AM UTC 2026 % Result : Unsatisfiable 15.51s 15.78s % Output : Proof 15.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP352-1 : TPTP v9.2.1. Released v2.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n016.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 01:02:39 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.51/15.73 --- Run --no-e-matching --full-saturate-quant at 6... % 15.51/15.78 % SZS status Unsatisfiable % 15.51/15.78 % SZS output start Proof % 15.51/15.79 ( % 15.51/15.79 (declare-sort $$unsorted 0) % 15.51/15.79 (declare-const tptp.sk_c2 $$unsorted) % 15.51/15.79 (declare-const tptp.sk_c1 $$unsorted) % 15.51/15.79 (declare-const tptp.sk_c6 $$unsorted) % 15.51/15.79 (declare-const tptp.sk_c4 $$unsorted) % 15.51/15.79 (declare-const tptp.sk_c7 $$unsorted) % 15.51/15.79 (declare-const tptp.sk_c5 $$unsorted) % 15.51/15.79 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 15.51/15.79 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 15.51/15.79 (declare-const tptp.sk_c3 $$unsorted) % 15.51/15.79 (declare-const tptp.identity $$unsorted) % 15.51/15.79 (define @t1 () (@var "X" $$unsorted)) % 15.51/15.79 (define @t2 () (tptp.multiply tptp.identity @t1)) % 15.51/15.79 (define @t3 () (@list @t1)) % 15.51/15.79 (define @t4 () (forall @t3 (= @t2 @t1))) % 15.51/15.79 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 15.51/15.79 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 15.51/15.79 (define @t7 () (@var "Z" $$unsorted)) % 15.51/15.79 (define @t8 () (@var "Y" $$unsorted)) % 15.51/15.79 (define @t9 () (tptp.multiply tptp.sk_c6 tptp.sk_c7)) % 15.51/15.79 (define @t10 () (= @t9 tptp.sk_c5)) % 15.51/15.79 (define @t11 () (tptp.multiply tptp.sk_c6 tptp.sk_c5)) % 15.51/15.79 (define @t12 () (= @t11 tptp.sk_c7)) % 15.51/15.79 (define @t13 () (or @t12 @t10)) % 15.51/15.79 (define @t14 () (tptp.inverse tptp.sk_c3)) % 15.51/15.79 (define @t15 () (= @t14 tptp.sk_c7)) % 15.51/15.79 (define @t16 () (or @t12 @t15)) % 15.51/15.79 (define @t17 () (tptp.multiply tptp.sk_c3 tptp.sk_c6)) % 15.51/15.79 (define @t18 () (= @t17 tptp.sk_c7)) % 15.51/15.79 (define @t19 () (or @t12 @t18)) % 15.51/15.79 (define @t20 () (tptp.multiply tptp.sk_c4 tptp.sk_c6)) % 15.51/15.79 (define @t21 () (= @t20 tptp.sk_c7)) % 15.51/15.79 (define @t22 () (or @t12 @t21)) % 15.51/15.79 (define @t23 () (tptp.inverse tptp.sk_c4)) % 15.51/15.79 (define @t24 () (= @t23 tptp.sk_c6)) % 15.51/15.79 (define @t25 () (or @t12 @t24)) % 15.51/15.79 (define @t26 () (tptp.multiply tptp.sk_c1 tptp.sk_c7)) % 15.51/15.79 (define @t27 () (= @t26 tptp.sk_c6)) % 15.51/15.79 (define @t28 () (or @t27 @t10)) % 15.51/15.79 (define @t29 () (or @t27 @t15)) % 15.51/15.79 (define @t30 () (or @t27 @t18)) % 15.51/15.79 (define @t31 () (or @t27 @t21)) % 15.51/15.79 (define @t32 () (or @t27 @t24)) % 15.51/15.79 (define @t33 () (tptp.inverse tptp.sk_c1)) % 15.51/15.79 (define @t34 () (= @t33 tptp.sk_c7)) % 15.51/15.79 (define @t35 () (or @t34 @t10)) % 15.51/15.79 (define @t36 () (or @t34 @t15)) % 15.51/15.79 (define @t37 () (or @t34 @t18)) % 15.51/15.79 (define @t38 () (or @t34 @t21)) % 15.51/15.79 (define @t39 () (or @t34 @t24)) % 15.51/15.79 (define @t40 () (tptp.multiply tptp.sk_c2 tptp.sk_c6)) % 15.51/15.79 (define @t41 () (= @t40 tptp.sk_c5)) % 15.51/15.79 (define @t42 () (or @t41 @t10)) % 15.51/15.79 (define @t43 () (or @t41 @t15)) % 15.51/15.79 (define @t44 () (or @t41 @t18)) % 15.51/15.79 (define @t45 () (or @t41 @t21)) % 15.51/15.79 (define @t46 () (or @t41 @t24)) % 15.51/15.79 (define @t47 () (tptp.inverse tptp.sk_c2)) % 15.51/15.79 (define @t48 () (= @t47 tptp.sk_c6)) % 15.51/15.79 (define @t49 () (or @t48 @t10)) % 15.51/15.79 (define @t50 () (or @t48 @t15)) % 15.51/15.79 (define @t51 () (or @t48 @t18)) % 15.51/15.79 (define @t52 () (or @t48 @t21)) % 15.51/15.79 (define @t53 () (or @t48 @t24)) % 15.51/15.79 (define @t54 () (@var "X2" $$unsorted)) % 15.51/15.79 (define @t55 () (tptp.inverse @t54)) % 15.51/15.79 (define @t56 () (not (= @t55 tptp.sk_c6))) % 15.51/15.79 (define @t57 () (tptp.multiply @t54 tptp.sk_c6)) % 15.51/15.79 (define @t58 () (not (= @t57 tptp.sk_c7))) % 15.51/15.79 (define @t59 () (@var "X1" $$unsorted)) % 15.51/15.79 (define @t60 () (tptp.multiply @t59 tptp.sk_c6)) % 15.51/15.79 (define @t61 () (not (= @t60 tptp.sk_c7))) % 15.51/15.79 (define @t62 () (tptp.inverse @t59)) % 15.51/15.79 (define @t63 () (not (= @t62 tptp.sk_c7))) % 15.51/15.79 (define @t64 () (not @t10)) % 15.51/15.79 (define @t65 () (@var "X4" $$unsorted)) % 15.51/15.79 (define @t66 () (tptp.inverse @t65)) % 15.51/15.79 (define @t67 () (not (= @t66 tptp.sk_c6))) % 15.51/15.79 (define @t68 () (tptp.multiply @t65 tptp.sk_c6)) % 15.51/15.79 (define @t69 () (not (= @t68 tptp.sk_c5))) % 15.51/15.79 (define @t70 () (@var "X3" $$unsorted)) % 15.51/15.79 (define @t71 () (tptp.inverse @t70)) % 15.51/15.79 (define @t72 () (not (= @t71 tptp.sk_c7))) % 15.51/15.79 (define @t73 () (tptp.multiply @t70 tptp.sk_c7)) % 15.51/15.79 (define @t74 () (not (= @t73 tptp.sk_c6))) % 15.51/15.79 (define @t75 () (not @t12)) % 15.51/15.79 (define @t76 () (or @t75 @t74 @t72 @t69 @t67 @t64 @t63 @t61 @t58 @t56)) % 15.51/15.79 (define @t77 () (@list @t70 @t65 @t59 @t54)) % 15.51/15.79 (define @t78 () (forall @t77 @t76)) % 15.51/15.79 (define @t79 () (@list tptp.identity)) % 15.51/15.79 (define @t80 () (@list tptp.sk_c6)) % 15.51/15.79 (define @t81 () (@list tptp.sk_c3)) % 15.51/15.79 (define @t82 () (tptp.inverse tptp.sk_c6)) % 15.51/15.79 (define @t83 () (= tptp.sk_c7 @t33)) % 15.51/15.79 (define @t84 () (= tptp.sk_c5 @t9)) % 15.51/15.79 (define @t85 () (= tptp.sk_c7 @t14)) % 15.51/15.79 (define @t86 () (= tptp.sk_c7 @t17)) % 15.51/15.79 (define @t87 () (= tptp.sk_c7 @t20)) % 15.51/15.79 (define @t88 () (= tptp.sk_c6 @t23)) % 15.51/15.79 (define @t89 () (= tptp.sk_c7 @t11)) % 15.51/15.79 (define @t90 () (tptp.multiply tptp.identity tptp.identity)) % 15.51/15.79 (define @t91 () (= tptp.identity @t90)) % 15.51/15.79 (define @t92 () (tptp.multiply tptp.identity tptp.sk_c6)) % 15.51/15.79 (define @t93 () (= tptp.sk_c6 @t92)) % 15.51/15.79 (define @t94 () (tptp.multiply @t82 tptp.sk_c6)) % 15.51/15.79 (define @t95 () (= tptp.identity @t94)) % 15.51/15.79 (define @t96 () (tptp.multiply tptp.identity tptp.sk_c7)) % 15.51/15.79 (define @t97 () (= tptp.sk_c7 @t96)) % 15.51/15.79 (define @t98 () (tptp.multiply tptp.identity tptp.sk_c3)) % 15.51/15.79 (define @t99 () (= tptp.sk_c3 @t98)) % 15.51/15.79 (define @t100 () (tptp.multiply @t14 tptp.sk_c3)) % 15.51/15.79 (define @t101 () (= tptp.identity @t100)) % 15.51/15.79 (define @t102 () (tptp.multiply @t23 tptp.sk_c4)) % 15.51/15.79 (define @t103 () (= tptp.identity @t102)) % 15.51/15.79 (define @t104 () (tptp.multiply @t23 @t20)) % 15.51/15.79 (define @t105 () (tptp.multiply @t102 tptp.sk_c6)) % 15.51/15.79 (define @t106 () (= @t105 @t104)) % 15.51/15.79 (define @t107 () (tptp.multiply @t82 @t9)) % 15.51/15.79 (define @t108 () (= (tptp.multiply @t94 tptp.sk_c7) @t107)) % 15.51/15.79 (define @t109 () (= tptp.sk_c7 @t82)) % 15.51/15.79 (define @t110 () (tptp.multiply tptp.sk_c6 tptp.sk_c6)) % 15.51/15.79 (define @t111 () (= tptp.sk_c7 @t110)) % 15.51/15.79 (define @t112 () (= tptp.sk_c5 @t110)) % 15.51/15.79 (define @t113 () (= tptp.sk_c5 @t92)) % 15.51/15.79 (define @t114 () (= tptp.sk_c6 @t82)) % 15.51/15.79 (define @t115 () (tptp.multiply @t90 tptp.sk_c6)) % 15.51/15.79 (define @t116 () (tptp.multiply tptp.identity @t92)) % 15.51/15.79 (define @t117 () (tptp.multiply @t90 tptp.sk_c3)) % 15.51/15.79 (define @t118 () (tptp.multiply tptp.identity @t98)) % 15.51/15.79 (define @t119 () (tptp.multiply tptp.identity @t96)) % 15.51/15.79 (define @t120 () (tptp.multiply @t90 tptp.sk_c7)) % 15.51/15.79 (define @t121 () (tptp.inverse tptp.sk_c7)) % 15.51/15.79 (define @t122 () (and @t89 @t84 @t85 @t86 @t87 @t88 @t91 @t93 @t95 @t97 @t99 @t101 @t103 @t106 @t108)) % 15.51/15.79 (define @t123 () (not @t108)) % 15.51/15.79 (define @t124 () (not @t106)) % 15.51/15.79 (define @t125 () (not @t103)) % 15.51/15.79 (define @t126 () (not @t101)) % 15.51/15.79 (define @t127 () (not @t99)) % 15.51/15.79 (define @t128 () (not @t97)) % 15.51/15.79 (define @t129 () (not @t95)) % 15.51/15.79 (define @t130 () (not @t93)) % 15.51/15.79 (define @t131 () (not @t91)) % 15.51/15.79 (define @t132 () (not @t88)) % 15.51/15.79 (define @t133 () (not @t87)) % 15.51/15.79 (define @t134 () (not @t86)) % 15.51/15.79 (define @t135 () (not @t85)) % 15.51/15.79 (define @t136 () (not @t84)) % 15.51/15.79 (define @t137 () (not @t89)) % 15.51/15.79 (define @t138 () (tptp.inverse tptp.identity)) % 15.51/15.79 (define @t139 () (= tptp.sk_c6 @t138)) % 15.51/15.79 (define @t140 () (and @t85 @t86 @t87 @t88 @t91 @t93 @t95 @t97 @t99 @t101 @t103 @t106 @t108)) % 15.51/15.79 (define @t141 () (and @t89 @t84 @t87 @t88 @t91 @t93 @t103 @t106)) % 15.51/15.79 (define @t142 () (and @t84 @t87 @t88 @t91 @t93 @t103 @t106)) % 15.51/15.79 (define @t143 () (not @t114)) % 15.51/15.79 (define @t144 () (not @t111)) % 15.51/15.79 (define @t145 () (or @t144 @t143)) % 15.51/15.79 (define @t146 () (not @t139)) % 15.51/15.79 (define @t147 () (not @t113)) % 15.51/15.79 (define @t148 () (or @t147 @t146)) % 15.51/15.79 (define @t149 () (not (= tptp.sk_c6 @t55))) % 15.51/15.79 (define @t150 () (not (= tptp.sk_c7 @t57))) % 15.51/15.79 (define @t151 () (or @t150 @t149)) % 15.51/15.79 (define @t152 () (forall (@list @t54) @t151)) % 15.51/15.79 (define @t153 () (not (= tptp.sk_c6 @t66))) % 15.51/15.79 (define @t154 () (not (= tptp.sk_c5 @t68))) % 15.51/15.79 (define @t155 () (or @t154 @t153)) % 15.51/15.79 (define @t156 () (forall (@list @t65) @t155)) % 15.51/15.79 (define @t157 () (= tptp.sk_c6 @t9)) % 15.51/15.79 (define @t158 () (and @t84 @t93 @t113)) % 15.51/15.79 (define @t159 () (and @t89 @t84 @t85 @t86 @t87 @t88 @t91 @t93 @t95 @t97 @t99 @t101 @t103 @t114 @t111 @t106 @t108 @t113)) % 15.51/15.79 (define @t160 () (not @t109)) % 15.51/15.79 (define @t161 () (not @t157)) % 15.51/15.79 (define @t162 () (or @t161 @t160)) % 15.51/15.79 (define @t163 () (not (= tptp.sk_c7 @t71))) % 15.51/15.79 (define @t164 () (not (= tptp.sk_c6 @t73))) % 15.51/15.79 (define @t165 () (or @t164 @t163)) % 15.51/15.79 (define @t166 () (forall (@list @t70) @t165)) % 15.51/15.79 (define @t167 () (not (= tptp.sk_c7 @t60))) % 15.51/15.79 (define @t168 () (not (= tptp.sk_c7 @t62))) % 15.51/15.79 (define @t169 () (or @t168 @t167)) % 15.51/15.79 (define @t170 () (forall (@list @t59) @t169)) % 15.51/15.79 (define @t171 () (or @t137 @t136 @t165 @t155 @t169 @t151)) % 15.51/15.79 (define @t172 () (or @t137 @t164 @t163 @t154 @t153 @t136 @t168 @t167 @t150 @t149)) % 15.51/15.79 (define @t173 () (or @t135 @t134)) % 15.51/15.79 (define @t174 () (not @t83)) % 15.51/15.79 (define @t175 () (= tptp.sk_c6 @t26)) % 15.51/15.79 (define @t176 () (not @t175)) % 15.51/15.79 (define @t177 () (or @t176 @t174)) % 15.51/15.79 (define @t178 () (@list tptp.sk_c1)) % 15.51/15.79 (define @t179 () (= tptp.sk_c6 @t47)) % 15.51/15.79 (define @t180 () (tptp.multiply tptp.identity tptp.sk_c1)) % 15.51/15.79 (define @t181 () (= tptp.sk_c1 @t180)) % 15.51/15.79 (define @t182 () (tptp.multiply @t33 tptp.sk_c1)) % 15.51/15.79 (define @t183 () (= tptp.identity @t182)) % 15.51/15.79 (define @t184 () (tptp.multiply @t90 tptp.sk_c1)) % 15.51/15.79 (define @t185 () (tptp.multiply tptp.identity @t180)) % 15.51/15.79 (define @t186 () (tptp.multiply tptp.sk_c7 tptp.sk_c1)) % 15.51/15.79 (define @t187 () (tptp.multiply tptp.sk_c1 tptp.sk_c6)) % 15.51/15.79 (define @t188 () (= tptp.sk_c7 @t187)) % 15.51/15.79 (define @t189 () (and @t85 @t86 @t87 @t88 @t83 @t91 @t93 @t95 @t97 @t99 @t101 @t103 @t181 @t183 @t106 @t108)) % 15.51/15.79 (define @t190 () (not @t183)) % 15.51/15.79 (define @t191 () (not @t188)) % 15.51/15.79 (define @t192 () (or @t174 @t191)) % 15.51/15.79 (define @t193 () (= tptp.sk_c5 @t40)) % 15.51/15.79 (define @t194 () (tptp.multiply tptp.identity tptp.sk_c5)) % 15.51/15.79 (define @t195 () (= tptp.sk_c5 @t194)) % 15.51/15.79 (define @t196 () (tptp.multiply @t47 tptp.sk_c2)) % 15.51/15.79 (define @t197 () (= tptp.identity @t196)) % 15.51/15.79 (define @t198 () (tptp.multiply @t47 @t40)) % 15.51/15.79 (define @t199 () (= (tptp.multiply @t196 tptp.sk_c6) @t198)) % 15.51/15.79 (define @t200 () (tptp.multiply @t33 @t187)) % 15.51/15.79 (define @t201 () (= (tptp.multiply @t182 tptp.sk_c6) @t200)) % 15.51/15.79 (define @t202 () (tptp.multiply @t94 tptp.sk_c5)) % 15.51/15.79 (define @t203 () (= @t202 (tptp.multiply @t82 @t11))) % 15.51/15.79 (define @t204 () (tptp.multiply tptp.sk_c6 @t186)) % 15.51/15.79 (define @t205 () (= (tptp.multiply @t9 tptp.sk_c1) @t204)) % 15.51/15.79 (define @t206 () (tptp.multiply @t90 tptp.sk_c5)) % 15.51/15.79 (define @t207 () (tptp.multiply tptp.identity @t194)) % 15.51/15.79 (define @t208 () (and @t89 @t175 @t83 @t193 @t179 @t91 @t93 @t95 @t195 @t183 @t197 @t199 @t201 @t203 @t205)) % 15.51/15.79 (define @t209 () (not @t179)) % 15.51/15.79 (define @t210 () (not @t193)) % 15.51/15.79 (define @t211 () (and @t89 @t175 @t83 @t193 @t179 @t91 @t93 @t183 @t197 @t199 @t201)) % 15.51/15.79 (define @t212 () (and @t89 @t175 @t83 @t193 @t179 @t91 @t93 @t95 @t195 @t181 @t183 @t197 @t199 @t201 @t203 @t205)) % 15.51/15.79 (define @t213 () (not @t112)) % 15.51/15.79 (define @t214 () (or @t213 @t143)) % 15.51/15.79 (define @t215 () (and @t89 @t175 @t193 @t179 @t91 @t93 @t197 @t199)) % 15.51/15.79 (define @t216 () (@list true)) % 15.51/15.79 (define @t217 () (@list @t89)) % 15.51/15.79 (define @t218 () (and @t84 @t85 @t86 @t87 @t88 @t91 @t93 @t95 @t97 @t99 @t101 @t103 @t106 @t108)) % 15.51/15.79 (assume @p1 @t4) % 15.51/15.79 (assume @p2 @t6) % 15.51/15.79 (assume @p3 (forall (@list @t1 @t8 @t7) (= (tptp.multiply (tptp.multiply @t1 @t8) @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 15.51/15.79 (assume @p4 @t13) % 15.51/15.79 (assume @p5 @t16) % 15.51/15.79 (assume @p6 @t19) % 15.51/15.79 (assume @p7 @t22) % 15.51/15.79 (assume @p8 @t25) % 15.51/15.79 (assume @p9 @t28) % 15.51/15.79 (assume @p10 @t29) % 15.51/15.79 (assume @p11 @t30) % 15.51/15.79 (assume @p12 @t31) % 15.51/15.79 (assume @p13 @t32) % 15.51/15.79 (assume @p14 @t35) % 15.51/15.79 (assume @p15 @t36) % 15.51/15.79 (assume @p16 @t37) % 15.51/15.79 (assume @p17 @t38) % 15.51/15.79 (assume @p18 @t39) % 15.51/15.79 (assume @p19 @t42) % 15.51/15.79 (assume @p20 @t43) % 15.51/15.79 (assume @p21 @t44) % 15.51/15.79 (assume @p22 @t45) % 15.51/15.79 (assume @p23 @t46) % 15.51/15.79 (assume @p24 @t49) % 15.51/15.79 (assume @p25 @t50) % 15.51/15.79 (assume @p26 @t51) % 15.51/15.79 (assume @p27 @t52) % 15.51/15.79 (assume @p28 @t53) % 15.51/15.79 (assume @p29 @t78) % 15.51/15.79 (step @p30 :rule eq-symm :args (@t2 @t1)) % 15.51/15.79 (step @p31 :rule cong :premises (@p30) :args (@t4)) % 15.51/15.79 (step @p32 :rule eq_resolve :premises (@p1 @p31)) % 15.51/15.79 (step @p33 :rule instantiate :premises (@p32) :args (@t79)) % 15.51/15.79 (step @p34 :rule instantiate :premises (@p32) :args (@t80)) % 15.51/15.79 (step @p35 :rule eq-symm :args (@t5 tptp.identity)) % 15.51/15.79 (step @p36 :rule cong :premises (@p35) :args (@t6)) % 15.51/15.79 (step @p37 :rule eq_resolve :premises (@p2 @p36)) % 15.51/15.79 (step @p38 :rule instantiate :premises (@p37) :args (@t80)) % 15.51/15.79 (step @p39 :rule instantiate :premises (@p32) :args ((@list tptp.sk_c7))) % 15.51/15.79 (step @p40 :rule instantiate :premises (@p32) :args (@t81)) % 15.51/15.79 (step @p41 :rule instantiate :premises (@p37) :args (@t81)) % 15.51/15.79 (step @p42 :rule instantiate :premises (@p37) :args ((@list tptp.sk_c4))) % 15.51/15.79 (step @p43 :rule instantiate :premises (@p3) :args ((@list @t23 tptp.sk_c4 tptp.sk_c6))) % 15.51/15.79 (step @p44 :rule instantiate :premises (@p3) :args ((@list @t82 tptp.sk_c6 tptp.sk_c7))) % 15.51/15.79 (step @p45 :rule eq-symm :args (@t9 tptp.sk_c5)) % 15.51/15.79 (step @p46 :rule eq-symm :args (@t33 tptp.sk_c7)) % 15.51/15.79 (step @p47 :rule nary_cong :premises (@p46 @p45) :args (@t35)) % 15.51/15.79 (step @p48 :rule eq_resolve :premises (@p14 @p47)) % 15.51/15.79 (step @p49 :rule reordering :premises (@p48) :args ((or @t84 @t83))) % 15.51/15.79 (step @p50 :rule eq-symm :args (@t14 tptp.sk_c7)) % 15.51/15.79 (step @p51 :rule nary_cong :premises (@p46 @p50) :args (@t36)) % 15.51/15.79 (step @p52 :rule eq_resolve :premises (@p15 @p51)) % 15.51/15.79 (step @p53 :rule reordering :premises (@p52) :args ((or @t85 @t83))) % 15.51/15.79 (step @p54 :rule eq-symm :args (@t17 tptp.sk_c7)) % 15.51/15.79 (step @p55 :rule nary_cong :premises (@p46 @p54) :args (@t37)) % 15.51/15.79 (step @p56 :rule eq_resolve :premises (@p16 @p55)) % 15.51/15.79 (step @p57 :rule reordering :premises (@p56) :args ((or @t86 @t83))) % 15.51/15.79 (step @p58 :rule eq-symm :args (@t20 tptp.sk_c7)) % 15.51/15.79 (step @p59 :rule nary_cong :premises (@p46 @p58) :args (@t38)) % 15.51/15.79 (step @p60 :rule eq_resolve :premises (@p17 @p59)) % 15.51/15.79 (step @p61 :rule reordering :premises (@p60) :args ((or @t87 @t83))) % 15.51/15.79 (step @p62 :rule eq-symm :args (@t23 tptp.sk_c6)) % 15.51/15.79 (step @p63 :rule nary_cong :premises (@p46 @p62) :args (@t39)) % 15.51/15.79 (step @p64 :rule eq_resolve :premises (@p18 @p63)) % 15.51/15.79 (step @p65 :rule reordering :premises (@p64) :args ((or @t88 @t83))) % 15.51/15.79 (assume-push @p1469 @t89) % 15.51/15.79 (assume-push @p1470 @t84) % 15.51/15.79 (assume-push @p1471 @t85) % 15.51/15.79 (assume-push @p1472 @t86) % 15.51/15.79 (assume-push @p1473 @t87) % 15.51/15.79 (assume-push @p1474 @t88) % 15.51/15.79 (assume-push @p1475 @t91) % 15.51/15.79 (assume-push @p1476 @t93) % 15.51/15.79 (assume-push @p1477 @t95) % 15.51/15.79 (assume-push @p1478 @t97) % 15.51/15.79 (assume-push @p1479 @t99) % 15.51/15.79 (assume-push @p1480 @t101) % 15.51/15.79 (assume-push @p1481 @t103) % 15.51/15.79 (assume-push @p1482 @t106) % 15.51/15.79 (assume-push @p1483 @t108) % 15.51/15.79 (assume-push @p1484 @t109) % 15.51/15.79 (assume-push @p1485 @t111) % 15.51/15.79 (assume-push @p1486 @t112) % 15.51/15.79 (assume-push @p1487 @t113) % 15.51/15.79 (assume-push @p1488 @t93) % 15.51/15.79 (step @p86 :rule symm :premises (@p1485)) % 15.51/15.79 (step @p87 :rule symm :premises (@p1487)) % 15.51/15.79 (step @p88 :rule trans :premises (@p34 @p87 @p1486 @p86 @p1484)) % 15.51/15.79 (step-pop @p1489 :rule scope :premises (@p88)) % 15.51/15.79 (step-pop @p1490 :rule scope :premises (@p1489)) % 15.51/15.79 (step-pop @p1491 :rule scope :premises (@p1490)) % 15.51/15.79 (step-pop @p1492 :rule scope :premises (@p1491)) % 15.51/15.79 (step-pop @p1493 :rule scope :premises (@p1492)) % 15.51/15.79 (step @p89 :rule process_scope :premises (@p1493) :args (@t114)) % 15.51/15.79 (assume-push @p1494 @t91) % 15.51/15.79 (assume-push @p1495 @t93) % 15.51/15.79 (assume-push @p1496 @t103) % 15.51/15.79 (assume-push @p1497 @t106) % 15.51/15.79 (assume-push @p1498 @t88) % 15.51/15.79 (assume-push @p1499 @t87) % 15.51/15.79 (assume-push @p1500 @t84) % 15.51/15.79 (step @p102 :rule refl :args (tptp.sk_c6)) % 15.51/15.79 (step @p103 :rule symm :premises (@p33)) % 15.51/15.79 (step @p104 :rule cong :premises (@p103 @p102) :args (@t115)) % 15.51/15.79 (step @p105 :rule symm :premises (@p34)) % 15.51/15.79 (step @p106 :rule cong :premises (@p33 @p105) :args (@t116)) % 15.51/15.79 (step @p107 :rule symm :premises (@p42)) % 15.51/15.79 (step @p108 :rule cong :premises (@p107 @p34) :args (@t105)) % 15.51/15.79 (step @p109 :rule symm :premises (@p43)) % 15.51/15.79 (step @p110 :rule cong :premises (@p1474 @p1473) :args (@t9)) % 15.51/15.79 (step @p111 :rule trans :premises (@p1470 @p110 @p109 @p108 @p106 @p104)) % 15.51/15.79 (step-pop @p1501 :rule scope :premises (@p111)) % 15.51/15.79 (step-pop @p1502 :rule scope :premises (@p1501)) % 15.51/15.79 (step-pop @p1503 :rule scope :premises (@p1502)) % 15.51/15.79 (step-pop @p1504 :rule scope :premises (@p1503)) % 15.51/15.79 (step-pop @p1505 :rule scope :premises (@p1504)) % 15.51/15.79 (step-pop @p1506 :rule scope :premises (@p1505)) % 15.51/15.79 (step-pop @p1507 :rule scope :premises (@p1506)) % 15.51/15.79 (step @p112 :rule process_scope :premises (@p1507) :args (@t113)) % 15.51/15.79 (step @p120 :rule and_intro :premises (@p33 @p34 @p42 @p43 @p1474 @p1473 @p1470)) % 15.51/15.79 (step @p121 :rule modus_ponens :premises (@p120 @p112)) % 15.51/15.79 (assume-push @p1508 @t93) % 15.51/15.79 (assume-push @p1509 @t91) % 15.51/15.79 (assume-push @p1510 @t103) % 15.51/15.79 (assume-push @p1511 @t106) % 15.51/15.79 (assume-push @p1512 @t88) % 15.51/15.79 (assume-push @p1513 @t87) % 15.51/15.79 (assume-push @p1514 @t84) % 15.51/15.79 (assume-push @p1515 @t89) % 15.51/15.79 (assume-push @p1516 @t86) % 15.51/15.79 (assume-push @p1517 @t99) % 15.51/15.79 (assume-push @p1518 @t95) % 15.51/15.79 (assume-push @p1519 @t108) % 15.51/15.79 (assume-push @p1520 @t97) % 15.51/15.79 (assume-push @p1521 @t85) % 15.51/15.79 (assume-push @p1522 @t101) % 15.51/15.79 (step @p105 :rule symm :premises (@p34)) % 15.51/15.79 (step @p102 :rule refl :args (tptp.sk_c6)) % 15.51/15.79 (step @p103 :rule symm :premises (@p33)) % 15.51/15.79 (step @p104 :rule cong :premises (@p103 @p102) :args (@t115)) % 15.51/15.79 (step @p106 :rule cong :premises (@p33 @p105) :args (@t116)) % 15.51/15.79 (step @p107 :rule symm :premises (@p42)) % 15.51/15.79 (step @p108 :rule cong :premises (@p107 @p34) :args (@t105)) % 15.51/15.79 (step @p109 :rule symm :premises (@p43)) % 15.51/15.79 (step @p137 :rule cong :premises (@p1474 @p1473) :args (@t9)) % 15.51/15.79 (step @p138 :rule trans :premises (@p1470 @p137 @p109 @p108 @p106 @p104 @p105)) % 15.51/15.79 (step @p139 :rule cong :premises (@p102 @p138) :args (@t11)) % 15.51/15.79 (step @p140 :rule symm :premises (@p1472)) % 15.51/15.79 (step @p141 :rule symm :premises (@p40)) % 15.51/15.79 (step @p142 :rule refl :args (tptp.sk_c3)) % 15.51/15.79 (step @p143 :rule cong :premises (@p103 @p142) :args (@t117)) % 15.51/15.79 (step @p144 :rule cong :premises (@p33 @p141) :args (@t118)) % 15.51/15.79 (step @p145 :rule symm :premises (@p38)) % 15.51/15.79 (step @p146 :rule trans :premises (@p137 @p109 @p108 @p106 @p104 @p105)) % 15.51/15.79 (step @p147 :rule refl :args (@t82)) % 15.51/15.79 (step @p148 :rule cong :premises (@p147 @p146) :args (@t107)) % 15.51/15.79 (step @p149 :rule symm :premises (@p39)) % 15.51/15.79 (step @p150 :rule cong :premises (@p38 @p149) :args (@t119)) % 15.51/15.79 (step @p151 :rule cong :premises (@p103 @p39) :args (@t120)) % 15.51/15.79 (step @p152 :rule refl :args (tptp.sk_c7)) % 15.51/15.79 (step @p153 :rule cong :premises (@p33 @p152) :args (@t96)) % 15.51/15.79 (step @p154 :rule symm :premises (@p1471)) % 15.51/15.79 (step @p155 :rule trans :premises (@p154 @p39 @p153 @p151 @p150 @p44 @p148 @p145)) % 15.51/15.79 (step @p156 :rule cong :premises (@p155 @p40) :args (@t100)) % 15.51/15.79 (step @p157 :rule trans :premises (@p41 @p156 @p144 @p143 @p141)) % 15.51/15.79 (step @p158 :rule cong :premises (@p157 @p105) :args (@t116)) % 15.51/15.79 (step @p159 :rule trans :premises (@p1470 @p137 @p109 @p108 @p158 @p140 @p1469 @p139)) % 15.51/15.79 (step-pop @p1523 :rule scope :premises (@p159)) % 15.51/15.79 (step-pop @p1524 :rule scope :premises (@p1523)) % 15.51/15.79 (step-pop @p1525 :rule scope :premises (@p1524)) % 15.51/15.79 (step-pop @p1526 :rule scope :premises (@p1525)) % 15.51/15.79 (step-pop @p1527 :rule scope :premises (@p1526)) % 15.51/15.79 (step-pop @p1528 :rule scope :premises (@p1527)) % 15.51/15.79 (step-pop @p1529 :rule scope :premises (@p1528)) % 15.51/15.79 (step-pop @p1530 :rule scope :premises (@p1529)) % 15.51/15.79 (step-pop @p1531 :rule scope :premises (@p1530)) % 15.51/15.79 (step-pop @p1532 :rule scope :premises (@p1531)) % 15.51/15.79 (step-pop @p1533 :rule scope :premises (@p1532)) % 15.51/15.79 (step-pop @p1534 :rule scope :premises (@p1533)) % 15.51/15.79 (step-pop @p1535 :rule scope :premises (@p1534)) % 15.51/15.79 (step-pop @p1536 :rule scope :premises (@p1535)) % 15.51/15.79 (step-pop @p1537 :rule scope :premises (@p1536)) % 15.51/15.79 (step @p160 :rule process_scope :premises (@p1537) :args (@t112)) % 15.51/15.79 (step @p176 :rule and_intro :premises (@p34 @p33 @p42 @p43 @p1474 @p1473 @p1470 @p1469 @p1472 @p40 @p38 @p44 @p39 @p1471 @p41)) % 15.51/15.79 (step @p177 :rule modus_ponens :premises (@p176 @p160)) % 15.51/15.79 (assume-push @p1538 @t93) % 15.51/15.79 (assume-push @p1539 @t91) % 15.51/15.79 (assume-push @p1540 @t103) % 15.51/15.79 (assume-push @p1541 @t106) % 15.51/15.79 (assume-push @p1542 @t88) % 15.51/15.79 (assume-push @p1543 @t87) % 15.51/15.79 (assume-push @p1544 @t84) % 15.51/15.79 (assume-push @p1545 @t89) % 15.51/15.79 (step @p105 :rule symm :premises (@p34)) % 15.51/15.79 (step @p102 :rule refl :args (tptp.sk_c6)) % 15.51/15.79 (step @p103 :rule symm :premises (@p33)) % 15.51/15.79 (step @p104 :rule cong :premises (@p103 @p102) :args (@t115)) % 15.51/15.79 (step @p106 :rule cong :premises (@p33 @p105) :args (@t116)) % 15.51/15.79 (step @p107 :rule symm :premises (@p42)) % 15.51/15.79 (step @p108 :rule cong :premises (@p107 @p34) :args (@t105)) % 15.51/15.79 (step @p109 :rule symm :premises (@p43)) % 15.51/15.79 (step @p186 :rule cong :premises (@p1474 @p1473) :args (@t9)) % 15.51/15.79 (step @p187 :rule trans :premises (@p1470 @p186 @p109 @p108 @p106 @p104 @p105)) % 15.51/15.79 (step @p188 :rule cong :premises (@p102 @p187) :args (@t11)) % 15.51/15.79 (step @p189 :rule trans :premises (@p1469 @p188)) % 15.51/15.79 (step-pop @p1546 :rule scope :premises (@p189)) % 15.51/15.79 (step-pop @p1547 :rule scope :premises (@p1546)) % 15.51/15.79 (step-pop @p1548 :rule scope :premises (@p1547)) % 15.51/15.79 (step-pop @p1549 :rule scope :premises (@p1548)) % 15.51/15.79 (step-pop @p1550 :rule scope :premises (@p1549)) % 15.51/15.79 (step-pop @p1551 :rule scope :premises (@p1550)) % 15.51/15.79 (step-pop @p1552 :rule scope :premises (@p1551)) % 15.51/15.79 (step-pop @p1553 :rule scope :premises (@p1552)) % 15.51/15.79 (step @p190 :rule process_scope :premises (@p1553) :args (@t111)) % 15.51/15.79 (step @p199 :rule and_intro :premises (@p34 @p33 @p42 @p43 @p1474 @p1473 @p1470 @p1469)) % 15.51/15.79 (step @p200 :rule modus_ponens :premises (@p199 @p190)) % 15.51/15.79 (assume-push @p1554 @t93) % 15.51/15.79 (assume-push @p1555 @t91) % 15.51/15.79 (assume-push @p1556 @t103) % 15.51/15.79 (assume-push @p1557 @t106) % 15.51/15.79 (assume-push @p1558 @t88) % 15.51/15.79 (assume-push @p1559 @t87) % 15.51/15.79 (assume-push @p1560 @t84) % 15.51/15.79 (assume-push @p1561 @t95) % 15.51/15.79 (assume-push @p1562 @t108) % 15.51/15.79 (assume-push @p1563 @t97) % 15.51/15.79 (assume-push @p1564 @t101) % 15.51/15.79 (assume-push @p1565 @t85) % 15.51/15.79 (assume-push @p1566 @t99) % 15.51/15.79 (assume-push @p1567 @t86) % 15.51/15.79 (step @p105 :rule symm :premises (@p34)) % 15.51/15.79 (step @p102 :rule refl :args (tptp.sk_c6)) % 15.51/15.79 (step @p103 :rule symm :premises (@p33)) % 15.51/15.79 (step @p104 :rule cong :premises (@p103 @p102) :args (@t115)) % 15.51/15.79 (step @p106 :rule cong :premises (@p33 @p105) :args (@t116)) % 15.51/15.79 (step @p107 :rule symm :premises (@p42)) % 15.51/15.79 (step @p108 :rule cong :premises (@p107 @p34) :args (@t105)) % 15.51/15.79 (step @p109 :rule symm :premises (@p43)) % 15.51/15.79 (step @p215 :rule cong :premises (@p1474 @p1473) :args (@t9)) % 15.51/15.79 (step @p216 :rule trans :premises (@p1470 @p215 @p109 @p108 @p106 @p104 @p105)) % 15.51/15.79 (step @p217 :rule cong :premises (@p216) :args ((tptp.inverse tptp.sk_c5))) % 15.51/15.79 (step @p218 :rule symm :premises (@p1470)) % 15.51/15.79 (step @p219 :rule symm :premises (@p215)) % 15.51/15.79 (step @p220 :rule symm :premises (@p108)) % 15.51/15.79 (step @p145 :rule symm :premises (@p38)) % 15.51/15.79 (step @p221 :rule trans :premises (@p215 @p109 @p108 @p106 @p104 @p105)) % 15.51/15.79 (step @p147 :rule refl :args (@t82)) % 15.51/15.79 (step @p222 :rule cong :premises (@p147 @p221) :args (@t107)) % 15.51/15.79 (step @p149 :rule symm :premises (@p39)) % 15.51/15.79 (step @p150 :rule cong :premises (@p38 @p149) :args (@t119)) % 15.51/15.79 (step @p151 :rule cong :premises (@p103 @p39) :args (@t120)) % 15.51/15.79 (step @p152 :rule refl :args (tptp.sk_c7)) % 15.51/15.79 (step @p153 :rule cong :premises (@p33 @p152) :args (@t96)) % 15.51/15.79 (step @p223 :rule trans :premises (@p39 @p153 @p151 @p150 @p44 @p222 @p145)) % 15.51/15.79 (step @p224 :rule symm :premises (@p153)) % 15.51/15.79 (step @p225 :rule symm :premises (@p151)) % 15.51/15.79 (step @p226 :rule symm :premises (@p150)) % 15.51/15.79 (step @p227 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15.51/15.80 (step @p226 :rule symm :premises (@p150)) % 15.51/15.80 (step @p227 :rule symm :premises (@p44)) % 15.51/15.80 (step @p105 :rule symm :premises (@p34)) % 15.51/15.80 (step @p106 :rule cong :premises (@p33 @p105) :args (@t116)) % 15.51/15.80 (step @p322 :rule symm :premises (@p106)) % 15.51/15.80 (step @p102 :rule refl :args (tptp.sk_c6)) % 15.51/15.80 (step @p104 :rule cong :premises (@p103 @p102) :args (@t115)) % 15.51/15.80 (step @p323 :rule symm :premises (@p104)) % 15.51/15.80 (step @p1423 :rule trans :premises (@p34 @p323 @p322 @p220 @p43 @p1422)) % 15.51/15.80 (step @p147 :rule refl :args (@t82)) % 15.51/15.80 (step @p1424 :rule cong :premises (@p147 @p1423) :args (@t94)) % 15.51/15.80 (step @p1425 :rule trans :premises (@p38 @p1424 @p227 @p226 @p225 @p224 @p149 @p2260)) % 15.51/15.80 (step @p1426 :rule cong :premises (@p1425 @p141) :args (@t118)) % 15.51/15.80 (step @p233 :rule cong :premises (@p103 @p40) :args (@t117)) % 15.51/15.80 (step @p142 :rule refl :args (tptp.sk_c3)) % 15.51/15.80 (step @p234 :rule cong :premises (@p33 @p142) :args (@t98)) % 15.51/15.80 (step @p1427 :rule trans :premises (@p40 @p234 @p233 @p1426 @p229)) % 15.51/15.80 (step @p1428 :rule cong :premises (@p1427 @p34) :args (@t17)) % 15.51/15.80 (step @p1429 :rule trans :premises (@p1420 @p2261 @p1428 @p220 @p43 @p1422 @p1419)) % 15.51/15.80 (step @p1430 :rule cong :premises (@p1421 @p1429) :args (@t104)) % 15.51/15.80 (step @p1431 :rule trans :premises (@p2261 @p1428 @p220 @p43 @p1430)) % 15.51/15.80 (step-pop @p2287 :rule scope :premises (@p1431)) % 15.51/15.80 (step-pop @p2288 :rule scope :premises (@p2287)) % 15.51/15.80 (step-pop @p2289 :rule scope :premises (@p2288)) % 15.51/15.80 (step-pop @p2290 :rule scope :premises (@p2289)) % 15.51/15.80 (step-pop @p2291 :rule scope :premises (@p2290)) % 15.51/15.80 (step-pop @p2292 :rule scope :premises (@p2291)) % 15.51/15.80 (step-pop @p2293 :rule scope :premises (@p2292)) % 15.51/15.80 (step-pop @p2294 :rule scope :premises (@p2293)) % 15.51/15.80 (step-pop @p2295 :rule scope :premises (@p2294)) % 15.51/15.80 (step-pop @p2296 :rule scope :premises (@p2295)) % 15.51/15.80 (step-pop @p2297 :rule scope :premises (@p2296)) % 15.51/15.80 (step-pop @p2298 :rule scope :premises (@p2297)) % 15.51/15.80 (step-pop @p2299 :rule scope :premises (@p2298)) % 15.51/15.80 (step-pop @p2300 :rule scope :premises (@p2299)) % 15.51/15.80 (step @p1432 :rule process_scope :premises (@p2300) :args (@t89)) % 15.51/15.80 (step @p1447 :rule and_intro :premises (@p2263 @p2259 @p2262 @p43 @p42 @p34 @p41 @p2260 @p39 @p33 @p38 @p44 @p40 @p2261)) % 15.51/15.80 (step @p1448 :rule modus_ponens :premises (@p1447 @p1432)) % 15.51/15.80 (step-pop @p2301 :rule scope :premises (@p1448)) % 15.51/15.80 (step-pop @p2302 :rule scope :premises (@p2301)) % 15.51/15.80 (step-pop @p2303 :rule scope :premises (@p2302)) % 15.51/15.80 (step-pop @p2304 :rule scope :premises (@p2303)) % 15.51/15.80 (step-pop @p2305 :rule scope :premises (@p2304)) % 15.51/15.80 (step-pop @p2306 :rule scope :premises (@p2305)) % 15.51/15.80 (step-pop @p2307 :rule scope :premises (@p2306)) % 15.51/15.80 (step-pop @p2308 :rule scope :premises (@p2307)) % 15.51/15.80 (step-pop @p2309 :rule scope :premises (@p2308)) % 15.51/15.80 (step-pop @p2310 :rule scope :premises (@p2309)) % 15.51/15.80 (step-pop @p2311 :rule scope :premises (@p2310)) % 15.51/15.80 (step-pop @p2312 :rule scope :premises (@p2311)) % 15.51/15.80 (step-pop @p2313 :rule scope :premises (@p2312)) % 15.51/15.80 (step-pop @p2314 :rule scope :premises (@p2313)) % 15.51/15.80 (step @p1449 :rule process_scope :premises (@p2314) :args (@t89)) % 15.51/15.80 (step @p1464 :rule implies_elim :premises (@p1449)) % 15.51/15.80 (step @p1465 :rule cnf_and_neg :args (@t218)) % 15.51/15.80 (step @p1466 :rule resolution :premises (@p1465 @p1464) :args (true @t218)) % 15.51/15.80 (step @p1467 :rule reordering :premises (@p1466) :args ((or @t89 @t136 @t135 @t134 @t133 @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t124 @t123))) % 15.51/15.80 (step @p1468 false :rule chain_m_resolution :premises (@p1467 @p1390 @p1387 @p1384 @p1381 @p1378 @p1375 @p44 @p43 @p42 @p41 @p40 @p39 @p38 @p34 @p33) :args (false (@list false false false false false true false false false false false false false false false) (@list @t88 @t87 @t86 @t85 @t84 @t89 @t108 @t106 @t103 @t101 @t99 @t97 @t95 @t93 @t91))) % 15.51/15.80 ) % 15.51/15.80 % SZS output end Proof % 15.51/15.80 % cvc5 exiting %------------------------------------------------------------------------------