%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP322-1 : 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 : n005.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 08:20:29 AM UTC 2026 % Result : Unsatisfiable 0.62s 0.81s % Output : Proof 0.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : GRP322-1 : TPTP v9.2.1. Released v2.5.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n005.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 01:01:48 EDT 2026 % 0.18/0.35 % CPUTime : % 0.32/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.62/0.81 % SZS status Unsatisfiable % 0.62/0.81 % SZS output start Proof % 0.62/0.83 ( % 0.62/0.83 (declare-sort $$unsorted 0) % 0.62/0.83 (declare-const tptp.sk_c3 $$unsorted) % 0.62/0.83 (declare-const tptp.sk_c5 $$unsorted) % 0.62/0.83 (declare-const tptp.sk_c9 $$unsorted) % 0.62/0.83 (declare-const tptp.sk_c2 $$unsorted) % 0.62/0.83 (declare-const tptp.sk_c1 $$unsorted) % 0.62/0.83 (declare-const tptp.sk_c8 $$unsorted) % 0.62/0.83 (declare-const tptp.sk_c6 $$unsorted) % 0.62/0.83 (declare-const tptp.sk_c7 $$unsorted) % 0.62/0.83 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.62/0.83 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.62/0.83 (declare-const tptp.sk_c4 $$unsorted) % 0.62/0.83 (declare-const tptp.identity $$unsorted) % 0.62/0.83 (define @t1 () (@var "X" $$unsorted)) % 0.62/0.83 (define @t2 () (tptp.multiply tptp.identity @t1)) % 0.62/0.83 (define @t3 () (@list @t1)) % 0.62/0.83 (define @t4 () (forall @t3 (= @t2 @t1))) % 0.62/0.83 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 0.62/0.83 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 0.62/0.83 (define @t7 () (@var "Z" $$unsorted)) % 0.62/0.83 (define @t8 () (@var "Y" $$unsorted)) % 0.62/0.83 (define @t9 () (forall (@list @t1 @t8 @t7) (= (tptp.multiply (tptp.multiply @t1 @t8) @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 0.62/0.83 (define @t10 () (tptp.multiply tptp.sk_c9 tptp.sk_c8)) % 0.62/0.83 (define @t11 () (= @t10 tptp.sk_c7)) % 0.62/0.83 (define @t12 () (tptp.multiply tptp.sk_c8 tptp.sk_c9)) % 0.62/0.83 (define @t13 () (= @t12 tptp.sk_c7)) % 0.62/0.83 (define @t14 () (or @t13 @t11)) % 0.62/0.83 (define @t15 () (tptp.multiply tptp.sk_c4 tptp.sk_c9)) % 0.62/0.83 (define @t16 () (= @t15 tptp.sk_c8)) % 0.62/0.83 (define @t17 () (tptp.inverse tptp.sk_c4)) % 0.62/0.83 (define @t18 () (= @t17 tptp.sk_c9)) % 0.62/0.83 (define @t19 () (tptp.multiply tptp.sk_c9 tptp.sk_c6)) % 0.62/0.83 (define @t20 () (= @t19 tptp.sk_c8)) % 0.62/0.83 (define @t21 () (or @t13 @t20)) % 0.62/0.83 (define @t22 () (tptp.multiply tptp.sk_c5 tptp.sk_c9)) % 0.62/0.83 (define @t23 () (= @t22 tptp.sk_c6)) % 0.62/0.83 (define @t24 () (or @t13 @t23)) % 0.62/0.83 (define @t25 () (tptp.inverse tptp.sk_c5)) % 0.62/0.83 (define @t26 () (= @t25 tptp.sk_c9)) % 0.62/0.83 (define @t27 () (or @t13 @t26)) % 0.62/0.83 (define @t28 () (tptp.multiply tptp.sk_c1 tptp.sk_c8)) % 0.62/0.83 (define @t29 () (= @t28 tptp.sk_c9)) % 0.62/0.83 (define @t30 () (or @t29 @t16)) % 0.62/0.83 (define @t31 () (or @t29 @t18)) % 0.62/0.83 (define @t32 () (tptp.inverse tptp.sk_c1)) % 0.62/0.83 (define @t33 () (= @t32 tptp.sk_c8)) % 0.62/0.83 (define @t34 () (or @t33 @t16)) % 0.62/0.83 (define @t35 () (or @t33 @t18)) % 0.62/0.83 (define @t36 () (tptp.multiply tptp.sk_c9 tptp.sk_c3)) % 0.62/0.83 (define @t37 () (= @t36 tptp.sk_c8)) % 0.62/0.83 (define @t38 () (or @t37 @t11)) % 0.62/0.83 (define @t39 () (or @t37 @t16)) % 0.62/0.83 (define @t40 () (or @t37 @t18)) % 0.62/0.83 (define @t41 () (or @t37 @t20)) % 0.62/0.83 (define @t42 () (or @t37 @t23)) % 0.62/0.83 (define @t43 () (or @t37 @t26)) % 0.62/0.83 (define @t44 () (tptp.multiply tptp.sk_c2 tptp.sk_c9)) % 0.62/0.83 (define @t45 () (= @t44 tptp.sk_c3)) % 0.62/0.83 (define @t46 () (or @t45 @t11)) % 0.62/0.83 (define @t47 () (or @t45 @t16)) % 0.62/0.83 (define @t48 () (or @t45 @t18)) % 0.62/0.83 (define @t49 () (or @t45 @t20)) % 0.62/0.83 (define @t50 () (or @t45 @t23)) % 0.62/0.83 (define @t51 () (or @t45 @t26)) % 0.62/0.83 (define @t52 () (tptp.inverse tptp.sk_c2)) % 0.62/0.83 (define @t53 () (= @t52 tptp.sk_c9)) % 0.62/0.83 (define @t54 () (or @t53 @t11)) % 0.62/0.83 (define @t55 () (or @t53 @t16)) % 0.62/0.83 (define @t56 () (or @t53 @t18)) % 0.62/0.83 (define @t57 () (or @t53 @t20)) % 0.62/0.83 (define @t58 () (or @t53 @t23)) % 0.62/0.83 (define @t59 () (or @t53 @t26)) % 0.62/0.83 (define @t60 () (@var "X3" $$unsorted)) % 0.62/0.83 (define @t61 () (tptp.inverse @t60)) % 0.62/0.83 (define @t62 () (not (= @t61 tptp.sk_c9))) % 0.62/0.83 (define @t63 () (@var "X2" $$unsorted)) % 0.62/0.83 (define @t64 () (tptp.multiply @t60 tptp.sk_c9)) % 0.62/0.83 (define @t65 () (not (= @t64 @t63))) % 0.62/0.83 (define @t66 () (tptp.multiply tptp.sk_c9 @t63)) % 0.62/0.83 (define @t67 () (not (= @t66 tptp.sk_c8))) % 0.62/0.83 (define @t68 () (@var "X1" $$unsorted)) % 0.62/0.83 (define @t69 () (tptp.inverse @t68)) % 0.62/0.83 (define @t70 () (not (= @t69 tptp.sk_c9))) % 0.62/0.83 (define @t71 () (tptp.multiply @t68 tptp.sk_c9)) % 0.62/0.83 (define @t72 () (not (= @t71 tptp.sk_c8))) % 0.62/0.83 (define @t73 () (not @t11)) % 0.62/0.83 (define @t74 () (@var "X6" $$unsorted)) % 0.62/0.83 (define @t75 () (tptp.inverse @t74)) % 0.62/0.83 (define @t76 () (not (= @t75 tptp.sk_c9))) % 0.62/0.83 (define @t77 () (@var "X5" $$unsorted)) % 0.62/0.83 (define @t78 () (tptp.multiply @t74 tptp.sk_c9)) % 0.62/0.83 (define @t79 () (not (= @t78 @t77))) % 0.62/0.83 (define @t80 () (tptp.multiply tptp.sk_c9 @t77)) % 0.62/0.83 (define @t81 () (not (= @t80 tptp.sk_c8))) % 0.62/0.83 (define @t82 () (@var "X4" $$unsorted)) % 0.62/0.83 (define @t83 () (tptp.inverse @t82)) % 0.62/0.83 (define @t84 () (not (= @t83 tptp.sk_c8))) % 0.62/0.83 (define @t85 () (tptp.multiply @t82 tptp.sk_c8)) % 0.62/0.83 (define @t86 () (not (= @t85 tptp.sk_c9))) % 0.62/0.83 (define @t87 () (not @t13)) % 0.62/0.83 (define @t88 () (or @t87 @t86 @t84 @t81 @t79 @t76 @t73 @t72 @t70 @t67 @t65 @t62)) % 0.62/0.83 (define @t89 () (@list @t82 @t77 @t74 @t68 @t63 @t60)) % 0.62/0.83 (define @t90 () (forall @t89 @t88)) % 0.62/0.83 (define @t91 () (@list tptp.sk_c2)) % 0.62/0.83 (define @t92 () (@list tptp.sk_c5)) % 0.62/0.83 (define @t93 () (= tptp.sk_c7 @t10)) % 0.62/0.83 (define @t94 () (= tptp.sk_c8 @t19)) % 0.62/0.83 (define @t95 () (= tptp.sk_c6 @t22)) % 0.62/0.83 (define @t96 () (= tptp.sk_c9 @t25)) % 0.62/0.83 (define @t97 () (= tptp.identity (tptp.multiply @t25 tptp.sk_c5))) % 0.62/0.83 (define @t98 () (tptp.multiply tptp.sk_c9 @t22)) % 0.62/0.83 (define @t99 () (tptp.multiply tptp.sk_c9 tptp.sk_c5)) % 0.62/0.83 (define @t100 () (tptp.multiply @t99 tptp.sk_c9)) % 0.62/0.83 (define @t101 () (= @t100 @t98)) % 0.62/0.83 (define @t102 () (tptp.multiply tptp.identity tptp.sk_c9)) % 0.62/0.83 (define @t103 () (= tptp.sk_c9 @t102)) % 0.62/0.83 (define @t104 () (= tptp.sk_c7 @t12)) % 0.62/0.83 (define @t105 () (and @t93 @t94 @t95 @t96 @t97 @t101 @t103)) % 0.62/0.83 (define @t106 () (not @t103)) % 0.62/0.83 (define @t107 () (not @t96)) % 0.62/0.83 (define @t108 () (not @t95)) % 0.62/0.83 (define @t109 () (not @t94)) % 0.62/0.83 (define @t110 () (not @t93)) % 0.62/0.83 (define @t111 () (@list false false false false false false false)) % 0.62/0.83 (define @t112 () (not (= tptp.sk_c9 @t69))) % 0.62/0.83 (define @t113 () (not (= tptp.sk_c8 @t71))) % 0.62/0.83 (define @t114 () (or @t113 @t112)) % 0.62/0.83 (define @t115 () (forall (@list @t68) @t114)) % 0.62/0.83 (define @t116 () (@quantifiers_skolemize @t115 0)) % 0.62/0.83 (define @t117 () (tptp.inverse @t116)) % 0.62/0.83 (define @t118 () (= tptp.sk_c9 @t117)) % 0.62/0.83 (define @t119 () (not @t118)) % 0.62/0.83 (define @t120 () (tptp.multiply @t116 tptp.sk_c9)) % 0.62/0.83 (define @t121 () (= tptp.sk_c8 @t120)) % 0.62/0.83 (define @t122 () (not @t121)) % 0.62/0.83 (define @t123 () (or @t122 @t119)) % 0.62/0.83 (define @t124 () (not @t123)) % 0.62/0.83 (define @t125 () (@list @t116)) % 0.62/0.83 (define @t126 () (not (= tptp.sk_c8 @t83))) % 0.62/0.83 (define @t127 () (not (= tptp.sk_c9 @t85))) % 0.62/0.83 (define @t128 () (or @t127 @t126)) % 0.62/0.83 (define @t129 () (forall (@list @t82) @t128)) % 0.62/0.83 (define @t130 () (@quantifiers_skolemize @t129 0)) % 0.62/0.83 (define @t131 () (tptp.inverse @t130)) % 0.62/0.83 (define @t132 () (= tptp.sk_c8 @t131)) % 0.62/0.83 (define @t133 () (not @t132)) % 0.62/0.83 (define @t134 () (tptp.multiply @t130 tptp.sk_c8)) % 0.62/0.83 (define @t135 () (= tptp.sk_c9 @t134)) % 0.62/0.83 (define @t136 () (not @t135)) % 0.62/0.83 (define @t137 () (or @t136 @t133)) % 0.62/0.83 (define @t138 () (not @t137)) % 0.62/0.83 (define @t139 () (@list @t130)) % 0.62/0.83 (define @t140 () (not (= tptp.sk_c9 @t75))) % 0.62/0.83 (define @t141 () (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 @t78)))) % 0.62/0.83 (define @t142 () (or @t141 @t140)) % 0.62/0.83 (define @t143 () (@list @t74)) % 0.62/0.83 (define @t144 () (forall @t143 @t142)) % 0.62/0.83 (define @t145 () (not @t144)) % 0.62/0.83 (define @t146 () (not (= tptp.sk_c9 @t61))) % 0.62/0.83 (define @t147 () (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 @t64)))) % 0.62/0.83 (define @t148 () (or @t147 @t146)) % 0.62/0.83 (define @t149 () (@list @t60)) % 0.62/0.83 (define @t150 () (forall @t149 @t148)) % 0.62/0.83 (define @t151 () (not (= @t64 @t64))) % 0.62/0.83 (define @t152 () (or @t147 @t151 @t146)) % 0.62/0.83 (define @t153 () (not (= @t63 @t64))) % 0.62/0.83 (define @t154 () (not (= tptp.sk_c8 @t66))) % 0.62/0.83 (define @t155 () (or @t153 @t154 @t153 @t146)) % 0.62/0.83 (define @t156 () (@list @t63)) % 0.62/0.83 (define @t157 () (or @t154 @t153 @t146)) % 0.62/0.83 (define @t158 () (forall @t156 @t157)) % 0.62/0.83 (define @t159 () (forall @t149 @t158)) % 0.62/0.83 (define @t160 () (forall (@list @t60 @t63) @t157)) % 0.62/0.83 (define @t161 () (forall (@list @t63 @t60) @t157)) % 0.62/0.83 (define @t162 () (not (= @t78 @t78))) % 0.62/0.83 (define @t163 () (or @t141 @t162 @t140)) % 0.62/0.83 (define @t164 () (not (= @t77 @t78))) % 0.62/0.83 (define @t165 () (not (= tptp.sk_c8 @t80))) % 0.62/0.83 (define @t166 () (or @t164 @t165 @t164 @t140)) % 0.62/0.83 (define @t167 () (@list @t77)) % 0.62/0.83 (define @t168 () (or @t165 @t164 @t140)) % 0.62/0.83 (define @t169 () (forall @t167 @t168)) % 0.62/0.83 (define @t170 () (forall @t143 @t169)) % 0.62/0.83 (define @t171 () (forall (@list @t74 @t77) @t168)) % 0.62/0.83 (define @t172 () (forall (@list @t77 @t74) @t168)) % 0.62/0.83 (define @t173 () (not @t104)) % 0.62/0.83 (define @t174 () (or @t173 @t110 @t129 @t172 @t115 @t161)) % 0.62/0.83 (define @t175 () (or @t173 @t110 @t128 @t168 @t114 @t157)) % 0.62/0.83 (define @t176 () (or @t173 @t127 @t126 @t165 @t164 @t140 @t110 @t113 @t112 @t154 @t153 @t146)) % 0.62/0.83 (define @t177 () (tptp.multiply tptp.sk_c9 @t120)) % 0.62/0.83 (define @t178 () (= tptp.sk_c8 @t177)) % 0.62/0.83 (define @t179 () (not @t178)) % 0.62/0.83 (define @t180 () (or @t179 @t119)) % 0.62/0.83 (define @t181 () (tptp.multiply @t131 @t130)) % 0.62/0.83 (define @t182 () (= tptp.identity @t181)) % 0.62/0.83 (define @t183 () (tptp.multiply tptp.sk_c8 @t134)) % 0.62/0.83 (define @t184 () (= (tptp.multiply (tptp.multiply tptp.sk_c8 @t130) tptp.sk_c8) @t183)) % 0.62/0.83 (define @t185 () (tptp.multiply tptp.identity tptp.sk_c8)) % 0.62/0.83 (define @t186 () (= tptp.sk_c8 @t185)) % 0.62/0.83 (define @t187 () (and @t104 @t93 @t121 @t135 @t132 @t182 @t184 @t186)) % 0.62/0.83 (define @t188 () (not @t129)) % 0.62/0.83 (define @t189 () (= tptp.sk_c8 @t117)) % 0.62/0.83 (define @t190 () (not @t189)) % 0.62/0.83 (define @t191 () (= tptp.sk_c9 (tptp.multiply @t116 tptp.sk_c8))) % 0.62/0.83 (define @t192 () (not @t191)) % 0.62/0.83 (define @t193 () (or @t192 @t190)) % 0.62/0.83 (define @t194 () (= tptp.sk_c9 @t52)) % 0.62/0.83 (define @t195 () (not @t194)) % 0.62/0.83 (define @t196 () (tptp.multiply tptp.sk_c9 @t44)) % 0.62/0.83 (define @t197 () (= tptp.sk_c8 @t196)) % 0.62/0.83 (define @t198 () (not @t197)) % 0.62/0.83 (define @t199 () (or @t198 @t195)) % 0.62/0.83 (define @t200 () (= tptp.sk_c8 @t36)) % 0.62/0.83 (define @t201 () (= tptp.sk_c3 @t44)) % 0.62/0.83 (define @t202 () (not @t199)) % 0.62/0.83 (define @t203 () (tptp.multiply @t130 @t116)) % 0.62/0.83 (define @t204 () (tptp.multiply @t117 @t116)) % 0.62/0.83 (define @t205 () (= tptp.identity @t204)) % 0.62/0.83 (define @t206 () (tptp.multiply tptp.sk_c9 @t116)) % 0.62/0.83 (define @t207 () (tptp.multiply @t206 tptp.sk_c9)) % 0.62/0.83 (define @t208 () (= @t207 @t177)) % 0.62/0.83 (define @t209 () (tptp.multiply @t130 @t120)) % 0.62/0.83 (define @t210 () (tptp.multiply @t203 tptp.sk_c9)) % 0.62/0.83 (define @t211 () (= @t210 @t209)) % 0.62/0.83 (define @t212 () (tptp.multiply tptp.sk_c2 @t210)) % 0.62/0.83 (define @t213 () (tptp.multiply (tptp.multiply tptp.sk_c2 @t203) tptp.sk_c9)) % 0.62/0.83 (define @t214 () (= @t213 @t212)) % 0.62/0.83 (define @t215 () (and @t200 @t201 @t121 @t118 @t135 @t205 @t208 @t211 @t103 @t214)) % 0.62/0.83 (define @t216 () (tptp.multiply @t32 tptp.sk_c1)) % 0.62/0.83 (define @t217 () (= tptp.identity @t216)) % 0.62/0.83 (define @t218 () (tptp.multiply tptp.sk_c5 @t134)) % 0.62/0.83 (define @t219 () (tptp.multiply (tptp.multiply tptp.sk_c5 @t130) tptp.sk_c8)) % 0.62/0.83 (define @t220 () (= @t219 @t218)) % 0.62/0.83 (define @t221 () (tptp.multiply @t209 tptp.sk_c5)) % 0.62/0.83 (define @t222 () (= @t221 (tptp.multiply @t130 (tptp.multiply @t120 tptp.sk_c5)))) % 0.62/0.83 (define @t223 () (tptp.multiply tptp.identity tptp.sk_c5)) % 0.62/0.83 (define @t224 () (= tptp.sk_c5 @t223)) % 0.62/0.83 (define @t225 () (tptp.multiply @t216 tptp.sk_c9)) % 0.62/0.83 (define @t226 () (and @t94 @t95 @t96 @t121 @t118 @t135 @t97 @t217 @t205 @t208 @t101 @t220 @t211 @t103 @t222 @t224)) % 0.62/0.83 (define @t227 () (@quantifiers_skolemize @t144 0)) % 0.62/0.83 (define @t228 () (tptp.inverse @t227)) % 0.62/0.83 (define @t229 () (= tptp.sk_c9 @t228)) % 0.62/0.83 (define @t230 () (not @t229)) % 0.62/0.83 (define @t231 () (tptp.multiply @t227 tptp.sk_c9)) % 0.62/0.83 (define @t232 () (tptp.multiply tptp.sk_c9 @t231)) % 0.62/0.83 (define @t233 () (= tptp.sk_c8 @t232)) % 0.62/0.83 (define @t234 () (not @t233)) % 0.62/0.83 (define @t235 () (or @t234 @t230)) % 0.62/0.83 (define @t236 () (not @t235)) % 0.62/0.83 (define @t237 () (@list @t227)) % 0.62/0.83 (define @t238 () (tptp.multiply tptp.sk_c9 @t227)) % 0.62/0.83 (define @t239 () (tptp.multiply @t238 tptp.sk_c9)) % 0.62/0.83 (define @t240 () (= @t239 @t232)) % 0.62/0.83 (define @t241 () (@list tptp.sk_c9 @t227 tptp.sk_c9)) % 0.62/0.83 (define @t242 () (= @t232 @t239)) % 0.62/0.83 (define @t243 () (tptp.multiply @t228 @t227)) % 0.62/0.83 (define @t244 () (= tptp.identity @t243)) % 0.62/0.83 (define @t245 () (tptp.multiply tptp.identity @t227)) % 0.62/0.83 (define @t246 () (= @t227 @t245)) % 0.62/0.83 (define @t247 () (= tptp.sk_c8 @t228)) % 0.62/0.83 (define @t248 () (tptp.multiply @t228 @t245)) % 0.62/0.83 (define @t249 () (tptp.multiply @t238 @t209)) % 0.62/0.83 (define @t250 () (and @t233 @t229 @t121 @t118 @t135 @t217 @t244 @t242 @t103 @t246)) % 0.62/0.83 (define @t251 () (not @t246)) % 0.62/0.83 (define @t252 () (not @t242)) % 0.62/0.83 (define @t253 () (not @t244)) % 0.62/0.83 (define @t254 () (not @t217)) % 0.62/0.83 (define @t255 () (and @t233 @t229 @t121 @t135 @t217 @t244 @t242 @t103 @t246)) % 0.62/0.83 (define @t256 () (not @t193)) % 0.62/0.83 (define @t257 () (= tptp.sk_c8 @t25)) % 0.62/0.83 (define @t258 () (and @t96 @t233 @t229 @t118 @t217 @t244 @t242 @t103 @t246)) % 0.62/0.83 (define @t259 () (and @t233 @t229 @t121 @t217 @t244 @t242 @t103 @t246)) % 0.62/0.83 (define @t260 () (= tptp.sk_c8 @t98)) % 0.62/0.83 (define @t261 () (not @t260)) % 0.62/0.83 (define @t262 () (or @t261 @t107)) % 0.62/0.83 (define @t263 () (and @t200 @t201)) % 0.62/0.83 (define @t264 () (and @t95 @t261)) % 0.62/0.83 (define @t265 () (tptp.multiply @t52 tptp.sk_c2)) % 0.62/0.83 (define @t266 () (= tptp.identity @t265)) % 0.62/0.83 (define @t267 () (tptp.multiply @t52 @t44)) % 0.62/0.83 (define @t268 () (tptp.multiply @t265 tptp.sk_c9)) % 0.62/0.83 (define @t269 () (= @t268 @t267)) % 0.62/0.83 (define @t270 () (and @t200 @t201 @t194 @t118 @t266 @t103 @t269)) % 0.62/0.83 (define @t271 () (not @t269)) % 0.62/0.83 (define @t272 () (not @t266)) % 0.62/0.83 (define @t273 () (not @t201)) % 0.62/0.83 (define @t274 () (not @t200)) % 0.62/0.83 (define @t275 () (not @t115)) % 0.62/0.83 (define @t276 () (= tptp.sk_c9 @t17)) % 0.62/0.83 (define @t277 () (not @t276)) % 0.62/0.83 (define @t278 () (= tptp.sk_c8 @t15)) % 0.62/0.83 (define @t279 () (not @t278)) % 0.62/0.83 (define @t280 () (or @t279 @t277)) % 0.62/0.83 (define @t281 () (not @t280)) % 0.62/0.83 (define @t282 () (@list false false)) % 0.62/0.83 (define @t283 () (@list @t276 @t278)) % 0.62/0.83 (define @t284 () (= tptp.sk_c8 @t231)) % 0.62/0.83 (define @t285 () (not @t284)) % 0.62/0.83 (define @t286 () (or @t285 @t230)) % 0.62/0.83 (define @t287 () (= tptp.sk_c9 @t28)) % 0.62/0.83 (define @t288 () (= tptp.sk_c8 @t32)) % 0.62/0.83 (define @t289 () (tptp.multiply tptp.sk_c1 @t116)) % 0.62/0.83 (define @t290 () (tptp.multiply tptp.sk_c1 @t120)) % 0.62/0.83 (define @t291 () (tptp.multiply @t289 tptp.sk_c9)) % 0.62/0.83 (define @t292 () (= @t291 @t290)) % 0.62/0.83 (define @t293 () (tptp.multiply tptp.sk_c1 tptp.sk_c9)) % 0.62/0.83 (define @t294 () (= @t225 (tptp.multiply @t32 @t293))) % 0.62/0.83 (define @t295 () (tptp.multiply tptp.sk_c8 @t52)) % 0.62/0.83 (define @t296 () (tptp.multiply @t295 tptp.sk_c2)) % 0.62/0.83 (define @t297 () (= @t296 (tptp.multiply tptp.sk_c8 @t265))) % 0.62/0.83 (define @t298 () (tptp.multiply @t291 @t227)) % 0.62/0.83 (define @t299 () (= @t298 (tptp.multiply @t289 @t238))) % 0.62/0.83 (define @t300 () (tptp.multiply tptp.sk_c9 tptp.identity)) % 0.62/0.83 (define @t301 () (tptp.multiply @t300 @t227)) % 0.62/0.83 (define @t302 () (= @t301 (tptp.multiply tptp.sk_c9 @t245))) % 0.62/0.83 (define @t303 () (tptp.multiply tptp.sk_c8 tptp.sk_c3)) % 0.62/0.83 (define @t304 () (tptp.multiply tptp.sk_c9 @t293)) % 0.62/0.83 (define @t305 () (tptp.multiply tptp.sk_c9 tptp.sk_c9)) % 0.62/0.83 (define @t306 () (tptp.multiply @t52 @t52)) % 0.62/0.83 (define @t307 () (tptp.multiply @t238 @t303)) % 0.62/0.83 (define @t308 () (and @t104 @t93 @t287 @t288 @t200 @t201 @t194 @t233 @t121 @t217 @t266 @t292 @t242 @t103 @t269 @t294 @t246 @t297 @t299 @t302)) % 0.62/0.83 (define @t309 () (not @t302)) % 0.62/0.83 (define @t310 () (not @t297)) % 0.62/0.83 (define @t311 () (not @t294)) % 0.62/0.83 (define @t312 () (not @t288)) % 0.62/0.83 (define @t313 () (not @t287)) % 0.62/0.83 (define @t314 () (and @t104 @t93 @t287 @t288 @t200 @t201 @t194 @t233 @t217 @t266 @t242 @t103 @t269 @t294 @t246 @t297 @t302)) % 0.62/0.83 (define @t315 () (@list true)) % 0.62/0.83 (define @t316 () (@list @t93)) % 0.62/0.83 (define @t317 () (and @t104 @t200 @t201 @t194 @t266 @t103 @t269)) % 0.62/0.83 (assume @p1 @t4) % 0.62/0.83 (assume @p2 @t6) % 0.62/0.83 (assume @p3 @t9) % 0.62/0.83 (assume @p4 @t14) % 0.62/0.83 (assume @p5 (or @t13 @t16)) % 0.62/0.83 (assume @p6 (or @t13 @t18)) % 0.62/0.83 (assume @p7 @t21) % 0.62/0.83 (assume @p8 @t24) % 0.62/0.83 (assume @p9 @t27) % 0.62/0.83 (assume @p10 (or @t29 @t11)) % 0.62/0.83 (assume @p11 @t30) % 0.62/0.83 (assume @p12 @t31) % 0.62/0.83 (assume @p13 (or @t29 @t20)) % 0.62/0.83 (assume @p14 (or @t29 @t23)) % 0.62/0.83 (assume @p15 (or @t29 @t26)) % 0.62/0.83 (assume @p16 (or @t33 @t11)) % 0.62/0.83 (assume @p17 @t34) % 0.62/0.83 (assume @p18 @t35) % 0.62/0.83 (assume @p19 (or @t33 @t20)) % 0.62/0.83 (assume @p20 (or @t33 @t23)) % 0.62/0.83 (assume @p21 (or @t33 @t26)) % 0.62/0.83 (assume @p22 @t38) % 0.62/0.83 (assume @p23 @t39) % 0.62/0.83 (assume @p24 @t40) % 0.62/0.83 (assume @p25 @t41) % 0.62/0.83 (assume @p26 @t42) % 0.62/0.83 (assume @p27 @t43) % 0.62/0.83 (assume @p28 @t46) % 0.62/0.83 (assume @p29 @t47) % 0.62/0.83 (assume @p30 @t48) % 0.62/0.83 (assume @p31 @t49) % 0.62/0.83 (assume @p32 @t50) % 0.62/0.83 (assume @p33 @t51) % 0.62/0.83 (assume @p34 @t54) % 0.62/0.83 (assume @p35 @t55) % 0.62/0.83 (assume @p36 @t56) % 0.62/0.83 (assume @p37 @t57) % 0.62/0.83 (assume @p38 @t58) % 0.62/0.83 (assume @p39 @t59) % 0.62/0.83 (assume @p40 @t90) % 0.62/0.83 (step @p41 :rule eq-symm :args (@t5 tptp.identity)) % 0.62/0.83 (step @p42 :rule cong :premises (@p41) :args (@t6)) % 0.62/0.83 (step @p43 :rule eq_resolve :premises (@p2 @p42)) % 0.62/0.83 (step @p44 :rule instantiate :premises (@p43) :args (@t91)) % 0.62/0.83 (step @p45 :rule eq-symm :args (@t2 @t1)) % 0.62/0.83 (step @p46 :rule cong :premises (@p45) :args (@t4)) % 0.62/0.83 (step @p47 :rule eq_resolve :premises (@p1 @p46)) % 0.62/0.83 (step @p48 :rule instantiate :premises (@p47) :args ((@list tptp.sk_c9))) % 0.62/0.83 (step @p49 :rule eq-symm :args (@t10 tptp.sk_c7)) % 0.62/0.83 (step @p50 :rule eq-symm :args (@t12 tptp.sk_c7)) % 0.62/0.83 (step @p51 :rule nary_cong :premises (@p50 @p49) :args (@t14)) % 0.62/0.83 (step @p52 :rule eq_resolve :premises (@p4 @p51)) % 0.62/0.83 (step @p53 :rule eq-symm :args (@t19 tptp.sk_c8)) % 0.62/0.83 (step @p54 :rule nary_cong :premises (@p50 @p53) :args (@t21)) % 0.62/0.83 (step @p55 :rule eq_resolve :premises (@p7 @p54)) % 0.62/0.83 (step @p56 :rule eq-symm :args (@t22 tptp.sk_c6)) % 0.62/0.83 (step @p57 :rule nary_cong :premises (@p50 @p56) :args (@t24)) % 0.62/0.83 (step @p58 :rule eq_resolve :premises (@p8 @p57)) % 0.62/0.83 (step @p59 :rule eq-symm :args (@t25 tptp.sk_c9)) % 0.62/0.83 (step @p60 :rule nary_cong :premises (@p50 @p59) :args (@t27)) % 0.62/0.83 (step @p61 :rule eq_resolve :premises (@p9 @p60)) % 0.62/0.83 (step @p62 :rule instantiate :premises (@p43) :args (@t92)) % 0.62/0.83 (step @p63 :rule instantiate :premises (@p3) :args ((@list tptp.sk_c9 tptp.sk_c5 tptp.sk_c9))) % 0.62/0.83 (assume-push @p1292 @t93) % 0.62/0.83 (assume-push @p1293 @t94) % 0.62/0.83 (assume-push @p1294 @t95) % 0.62/0.83 (assume-push @p1295 @t96) % 0.62/0.83 (assume-push @p1296 @t97) % 0.62/0.83 (assume-push @p1297 @t101) % 0.62/0.83 (assume-push @p1298 @t103) % 0.62/0.83 (assume-push @p1299 @t103) % 0.62/0.83 (assume-push @p1300 @t97) % 0.62/0.83 (assume-push @p1301 @t96) % 0.62/0.83 (assume-push @p1302 @t101) % 0.62/0.83 (assume-push @p1303 @t95) % 0.62/0.83 (assume-push @p1304 @t94) % 0.62/0.83 (assume-push @p1305 @t93) % 0.62/0.83 (step @p78 :rule symm :premises (@p48)) % 0.62/0.83 (step @p79 :rule refl :args (tptp.sk_c9)) % 0.62/0.83 (step @p80 :rule symm :premises (@p62)) % 0.62/0.83 (step @p81 :rule refl :args (tptp.sk_c5)) % 0.62/0.83 (step @p82 :rule cong :premises (@p1295 @p81) :args (@t99)) % 0.62/0.83 (step @p83 :rule trans :premises (@p82 @p80)) % 0.62/0.83 (step @p84 :rule cong :premises (@p83 @p79) :args (@t100)) % 0.62/0.83 (step @p85 :rule symm :premises (@p63)) % 0.62/0.83 (step @p86 :rule cong :premises (@p79 @p1294) :args (@t19)) % 0.62/0.83 (step @p87 :rule trans :premises (@p1293 @p86 @p85 @p84 @p78)) % 0.62/0.83 (step @p88 :rule refl :args (tptp.sk_c8)) % 0.62/0.83 (step @p89 :rule cong :premises (@p88 @p87) :args ((tptp.multiply tptp.sk_c8 tptp.sk_c8))) % 0.62/0.83 (step @p90 :rule symm :premises (@p87)) % 0.62/0.83 (step @p91 :rule cong :premises (@p90 @p88) :args (@t10)) % 0.62/0.83 (step @p92 :rule trans :premises (@p1292 @p91 @p89)) % 0.62/0.83 (step-pop @p1306 :rule scope :premises (@p92)) % 0.62/0.83 (step-pop @p1307 :rule scope :premises (@p1306)) % 0.62/0.83 (step-pop @p1308 :rule scope :premises (@p1307)) % 0.62/0.83 (step-pop @p1309 :rule scope :premises (@p1308)) % 0.62/0.83 (step-pop @p1310 :rule scope :premises (@p1309)) % 0.62/0.83 (step-pop @p1311 :rule scope :premises (@p1310)) % 0.62/0.83 (step-pop @p1312 :rule scope :premises (@p1311)) % 0.62/0.83 (step @p93 :rule process_scope :premises (@p1312) :args (@t104)) % 0.62/0.83 (step @p101 :rule and_intro :premises (@p48 @p62 @p1295 @p63 @p1294 @p1293 @p1292)) % 0.62/0.83 (step @p102 :rule modus_ponens :premises (@p101 @p93)) % 0.62/0.83 (step-pop @p1313 :rule scope :premises (@p102)) % 0.62/0.83 (step-pop @p1314 :rule scope :premises (@p1313)) % 0.62/0.83 (step-pop @p1315 :rule scope :premises (@p1314)) % 0.62/0.83 (step-pop @p1316 :rule scope :premises (@p1315)) % 0.62/0.83 (step-pop @p1317 :rule scope :premises (@p1316)) % 0.62/0.83 (step-pop @p1318 :rule scope :premises (@p1317)) % 0.62/0.83 (step-pop @p1319 :rule scope :premises (@p1318)) % 0.62/0.83 (step @p103 :rule process_scope :premises (@p1319) :args (@t104)) % 0.62/0.83 (step @p111 :rule implies_elim :premises (@p103)) % 0.62/0.83 (step @p112 :rule cnf_and_neg :args (@t105)) % 0.62/0.83 (step @p113 :rule resolution :premises (@p112 @p111) :args (true @t105)) % 0.62/0.83 (step @p114 :rule reordering :premises (@p113) :args ((or @t104 @t110 @t109 @t108 @t107 (not @t97) (not @t101) @t106))) % 0.62/0.83 (step @p115 :rule chain_m_resolution :premises (@p114 @p48 @p63 @p62 @p61 @p58 @p55 @p52) :args (@t104 @t111 (@list @t103 @t101 @t97 @t96 @t95 @t94 @t93))) % 0.62/0.83 (step @p116 :rule instantiate :premises (@p3) :args ((@list @t52 tptp.sk_c2 tptp.sk_c9))) % 0.62/0.83 (step @p117 :rule cnf_or_pos :args (@t123)) % 0.62/0.83 (step @p118 :rule reordering :premises (@p117) :args ((or @t122 @t119 @t124))) % 0.62/0.83 (assume-push @p1320 @t115) % 0.62/0.83 (step @p120 :rule instantiate :premises (@p1320) :args (@t125)) % 0.62/0.83 (step-pop @p1321 :rule scope :premises (@p120)) % 0.62/0.83 (step @p121 :rule process_scope :premises (@p1321) :args (@t123)) % 0.62/0.83 (step @p123 :rule implies_elim :premises (@p121)) % 0.62/0.83 (step @p124 :rule cnf_or_pos :args (@t137)) % 0.62/0.83 (step @p125 :rule reordering :premises (@p124) :args ((or @t136 @t133 @t138))) % 0.62/0.83 (assume-push @p1322 @t129) % 0.62/0.83 (step @p127 :rule instantiate :premises (@p1322) :args (@t139)) % 0.62/0.83 (step-pop @p1323 :rule scope :premises (@p127)) % 0.62/0.83 (step @p128 :rule process_scope :premises (@p1323) :args (@t137)) % 0.62/0.83 (step @p130 :rule implies_elim :premises (@p128)) % 0.62/0.83 (step @p131 :rule alpha_equiv :args (@t144 (@list @t74) (@list @t60))) % 0.62/0.83 (step @p132 :rule equiv_elim1 :premises (@p131)) % 0.62/0.83 (step @p133 :rule reordering :premises (@p132) :args ((or @t150 @t145))) % 0.62/0.83 (step @p134 :rule aci_norm :args ((= (or @t147 false @t146) @t148))) % 0.62/0.83 (step @p135 :rule refl :args (@t146)) % 0.62/0.83 (step @p136 :rule evaluate :args ((not true))) % 0.62/0.83 (step @p137 :rule eq-refl :args (@t64)) % 0.62/0.83 (step @p138 :rule cong :premises (@p137) :args (@t151)) % 0.62/0.83 (step @p139 :rule trans :premises (@p138 @p136)) % 0.62/0.83 (step @p140 :rule refl :args (@t147)) % 0.62/0.83 (step @p141 :rule nary_cong :premises (@p140 @p139 @p135) :args (@t152)) % 0.62/0.83 (step @p142 :rule trans :premises (@p141 @p134)) % 0.62/0.83 (step @p143 :rule 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chain_m_resolution :premises (@p1234 @p1231) :args (@t200 @t315 @t316)) % 0.62/0.84 (step @p1236 :rule nary_cong :premises (@p303 @p49) :args (@t46)) % 0.62/0.84 (step @p1237 :rule eq_resolve :premises (@p28 @p1236)) % 0.62/0.84 (step @p1238 :rule reordering :premises (@p1237) :args ((or @t93 @t201))) % 0.62/0.84 (step @p1239 :rule chain_m_resolution :premises (@p1238 @p1231) :args (@t201 @t315 @t316)) % 0.62/0.84 (step @p1240 :rule nary_cong :premises (@p307 @p49) :args (@t54)) % 0.62/0.84 (step @p1241 :rule eq_resolve :premises (@p34 @p1240)) % 0.62/0.84 (step @p1242 :rule reordering :premises (@p1241) :args ((or @t93 @t194))) % 0.62/0.84 (step @p1243 :rule chain_m_resolution :premises (@p1242 @p1231) :args (@t194 @t315 @t316)) % 0.62/0.84 (assume-push @p1824 @t104) % 0.62/0.84 (assume-push @p1825 @t200) % 0.62/0.84 (assume-push @p1826 @t201) % 0.62/0.84 (assume-push @p1827 @t194) % 0.62/0.84 (assume-push @p1828 @t266) % 0.62/0.84 (assume-push @p1829 @t103) % 0.62/0.84 (assume-push @p1830 @t269) % 0.62/0.84 (assume-push @p1831 @t200) % 0.62/0.84 (assume-push @p1832 @t194) % 0.62/0.84 (assume-push @p1833 @t201) % 0.62/0.84 (assume-push @p1834 @t269) % 0.62/0.84 (assume-push @p1835 @t266) % 0.62/0.84 (assume-push @p1836 @t103) % 0.62/0.84 (assume-push @p1837 @t104) % 0.62/0.84 (step @p1258 :rule symm :premises (@p1825)) % 0.62/0.84 (step @p1259 :rule symm :premises (@p1826)) % 0.62/0.84 (step @p1260 :rule symm :premises (@p1827)) % 0.62/0.84 (step @p1261 :rule cong :premises (@p1260 @p1259) :args (@t267)) % 0.62/0.84 (step @p79 :rule refl :args (tptp.sk_c9)) % 0.62/0.84 (step @p1262 :rule cong :premises (@p44 @p79) :args (@t102)) % 0.62/0.84 (step @p1263 :rule trans :premises (@p48 @p1262 @p116 @p1261 @p1258)) % 0.62/0.84 (step @p1264 :rule cong :premises (@p79 @p1263) :args (@t305)) % 0.62/0.84 (step @p1265 :rule symm :premises (@p1263)) % 0.62/0.84 (step @p1266 :rule cong :premises (@p1265 @p1260) :args (@t295)) % 0.62/0.84 (step @p88 :rule refl :args (tptp.sk_c8)) % 0.62/0.84 (step @p1267 :rule cong :premises (@p88 @p1827) :args (@t12)) % 0.62/0.84 (step @p1268 :rule trans :premises (@p1824 @p1267 @p1266 @p1264)) % 0.62/0.84 (step-pop @p1838 :rule scope :premises (@p1268)) % 0.62/0.84 (step-pop @p1839 :rule scope :premises (@p1838)) % 0.62/0.84 (step-pop @p1840 :rule scope :premises (@p1839)) % 0.62/0.84 (step-pop @p1841 :rule scope :premises (@p1840)) % 0.62/0.84 (step-pop @p1842 :rule scope :premises (@p1841)) % 0.62/0.84 (step-pop @p1843 :rule scope :premises (@p1842)) % 0.62/0.84 (step-pop @p1844 :rule scope :premises (@p1843)) % 0.62/0.84 (step @p1269 :rule process_scope :premises (@p1844) :args (@t93)) % 0.62/0.84 (step @p1277 :rule and_intro :premises (@p1825 @p1827 @p1826 @p116 @p44 @p48 @p1824)) % 0.62/0.84 (step @p1278 :rule modus_ponens :premises (@p1277 @p1269)) % 0.62/0.84 (step-pop @p1845 :rule scope :premises (@p1278)) % 0.62/0.84 (step-pop @p1846 :rule scope :premises (@p1845)) % 0.62/0.84 (step-pop @p1847 :rule scope :premises (@p1846)) % 0.62/0.84 (step-pop @p1848 :rule scope :premises (@p1847)) % 0.62/0.84 (step-pop @p1849 :rule scope :premises (@p1848)) % 0.62/0.84 (step-pop @p1850 :rule scope :premises (@p1849)) % 0.62/0.84 (step-pop @p1851 :rule scope :premises (@p1850)) % 0.62/0.84 (step @p1279 :rule process_scope :premises (@p1851) :args (@t93)) % 0.62/0.84 (step @p1287 :rule implies_elim :premises (@p1279)) % 0.62/0.84 (step @p1288 :rule cnf_and_neg :args (@t317)) % 0.62/0.84 (step @p1289 :rule resolution :premises (@p1288 @p1287) :args (true @t317)) % 0.62/0.84 (step @p1290 :rule reordering :premises (@p1289) :args ((or @t93 @t173 @t274 @t273 @t195 @t272 @t106 @t271))) % 0.62/0.84 (step @p1291 false :rule chain_m_resolution :premises (@p1290 @p1243 @p1239 @p1235 @p1231 @p116 @p115 @p48 @p44) :args (false (@list false false false true false false false false) (@list @t194 @t201 @t200 @t93 @t269 @t104 @t103 @t266))) % 0.62/0.84 ) % 0.62/0.84 % SZS output end Proof % 0.62/0.84 % cvc5 exiting %------------------------------------------------------------------------------