%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : REL048+1 : TPTP v9.2.1. Released v4.0.0. % 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 08:45:04 AM UTC 2026 % Result : Theorem 160.91s 161.16s % Output : Proof 160.91s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : REL048+1 : TPTP v9.2.1. Released v4.0.0. % 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 13:52:54 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 160.91/161.16 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 160.91/161.16 --- Run --no-e-matching --full-saturate-quant at 6... % 160.91/161.16 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 160.91/161.16 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 160.91/161.16 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 160.91/161.16 --- Run --trigger-sel=max --full-saturate-quant at 15... % 160.91/161.16 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 160.91/161.16 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 160.91/161.16 --- Run --prenex-quant=none --full-saturate-quant at 30... % 160.91/161.16 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 160.91/161.16 % SZS status Theorem % 160.91/161.16 % SZS output start Proof % 160.91/161.16 ( % 160.91/161.16 (declare-sort $$unsorted 0) % 160.91/161.16 (declare-const tptp.top $$unsorted) % 160.91/161.16 (declare-const tptp.converse (-> $$unsorted $$unsorted)) % 160.91/161.16 (declare-const tptp.one $$unsorted) % 160.91/161.16 (declare-const tptp.composition (-> $$unsorted $$unsorted $$unsorted)) % 160.91/161.16 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted)) % 160.91/161.16 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 160.91/161.16 (declare-const tptp.zero $$unsorted) % 160.91/161.16 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted)) % 160.91/161.16 (define @t1 () (@var "X0" $$unsorted)) % 160.91/161.16 (define @t2 () (@var "X1" $$unsorted)) % 160.91/161.16 (define @t3 () (tptp.join @t1 @t2)) % 160.91/161.16 (define @t4 () (@list @t1 @t2)) % 160.91/161.16 (define @t5 () (forall @t4 (= @t3 (tptp.join @t2 @t1)))) % 160.91/161.16 (define @t6 () (@var "X2" $$unsorted)) % 160.91/161.16 (define @t7 () (tptp.join @t3 @t6)) % 160.91/161.16 (define @t8 () (tptp.join @t2 @t6)) % 160.91/161.16 (define @t9 () (@list @t1 @t2 @t6)) % 160.91/161.16 (define @t10 () (forall @t9 (= (tptp.join @t1 @t8) @t7))) % 160.91/161.16 (define @t11 () (tptp.complement @t1)) % 160.91/161.16 (define @t12 () (tptp.complement @t2)) % 160.91/161.16 (define @t13 () (tptp.complement (tptp.join @t11 @t12))) % 160.91/161.16 (define @t14 () (tptp.meet @t1 @t2)) % 160.91/161.16 (define @t15 () (forall @t4 (= @t14 @t13))) % 160.91/161.16 (define @t16 () (tptp.composition @t1 @t2)) % 160.91/161.16 (define @t17 () (tptp.composition @t2 @t6)) % 160.91/161.16 (define @t18 () (forall @t9 (= (tptp.composition @t1 @t17) (tptp.composition @t16 @t6)))) % 160.91/161.16 (define @t19 () (tptp.composition @t1 tptp.one)) % 160.91/161.16 (define @t20 () (@list @t1)) % 160.91/161.16 (define @t21 () (forall @t20 (= @t19 @t1))) % 160.91/161.16 (define @t22 () (tptp.converse @t1)) % 160.91/161.16 (define @t23 () (tptp.converse @t22)) % 160.91/161.16 (define @t24 () (forall @t20 (= @t23 @t1))) % 160.91/161.16 (define @t25 () (tptp.converse @t2)) % 160.91/161.16 (define @t26 () (forall @t4 (= (tptp.converse @t3) (tptp.join @t22 @t25)))) % 160.91/161.16 (define @t27 () (forall @t4 (= (tptp.converse @t16) (tptp.composition @t25 @t22)))) % 160.91/161.16 (define @t28 () (tptp.join (tptp.composition @t22 (tptp.complement @t16)) @t12)) % 160.91/161.16 (define @t29 () (forall @t4 (= @t28 @t12))) % 160.91/161.16 (define @t30 () (tptp.join @t1 @t6)) % 160.91/161.16 (define @t31 () (and (= @t30 @t6) (= @t8 @t6))) % 160.91/161.16 (define @t32 () (=> (= @t7 @t6) @t31)) % 160.91/161.16 (define @t33 () (forall @t9 @t32)) % 160.91/161.16 (define @t34 () (not @t33)) % 160.91/161.16 (define @t35 () (= @t6 @t7)) % 160.91/161.16 (define @t36 () (and (= @t6 @t30) (= @t6 @t8))) % 160.91/161.16 (define @t37 () (forall @t9 (or (not @t35) @t36))) % 160.91/161.16 (define @t38 () (@quantifiers_skolemize @t37 2)) % 160.91/161.16 (define @t39 () (@quantifiers_skolemize @t37 1)) % 160.91/161.16 (define @t40 () (tptp.join @t39 @t38)) % 160.91/161.16 (define @t41 () (= @t38 @t40)) % 160.91/161.16 (define @t42 () (@quantifiers_skolemize @t37 0)) % 160.91/161.16 (define @t43 () (tptp.join @t42 @t38)) % 160.91/161.16 (define @t44 () (= @t38 @t43)) % 160.91/161.16 (define @t45 () (and @t44 @t41)) % 160.91/161.16 (define @t46 () (tptp.join @t42 @t39)) % 160.91/161.16 (define @t47 () (tptp.join @t46 @t38)) % 160.91/161.16 (define @t48 () (= @t38 @t47)) % 160.91/161.16 (define @t49 () (not @t48)) % 160.91/161.16 (define @t50 () (or @t49 @t45)) % 160.91/161.16 (define @t51 () (@list true)) % 160.91/161.16 (define @t52 () (@list @t50)) % 160.91/161.16 (define @t53 () (tptp.join @t42 @t40)) % 160.91/161.16 (define @t54 () (tptp.join @t39 @t42)) % 160.91/161.16 (define @t55 () (tptp.complement @t42)) % 160.91/161.16 (define @t56 () (@list @t42 @t55)) % 160.91/161.16 (define @t57 () (tptp.complement (tptp.join @t55 @t55))) % 160.91/161.16 (define @t58 () (tptp.complement (tptp.join @t55 (tptp.complement @t55)))) % 160.91/161.16 (define @t59 () (tptp.meet @t42 @t55)) % 160.91/161.16 (define @t60 () (forall @t4 (= @t13 @t14))) % 160.91/161.16 (define @t61 () (= @t58 @t59)) % 160.91/161.16 (define @t62 () (@list false)) % 160.91/161.16 (define @t63 () (@list @t60)) % 160.91/161.16 (define @t64 () (@list @t42)) % 160.91/161.16 (define @t65 () (@list tptp.one)) % 160.91/161.16 (define @t66 () (tptp.complement tptp.one)) % 160.91/161.16 (define @t67 () (@list tptp.one @t66)) % 160.91/161.16 (define @t68 () (@list @t66)) % 160.91/161.16 (define @t69 () (tptp.join tptp.one @t66)) % 160.91/161.16 (define @t70 () (tptp.join @t66 tptp.one)) % 160.91/161.16 (define @t71 () (= @t69 @t70)) % 160.91/161.16 (define @t72 () (tptp.complement @t70)) % 160.91/161.16 (define @t73 () (@list tptp.one @t70)) % 160.91/161.16 (define @t74 () (tptp.converse tptp.one)) % 160.91/161.16 (define @t75 () (tptp.composition @t74 (tptp.complement (tptp.composition tptp.one @t70)))) % 160.91/161.16 (define @t76 () (tptp.join @t75 @t58)) % 160.91/161.16 (define @t77 () (tptp.join @t75 @t42)) % 160.91/161.16 (define @t78 () (tptp.join @t40 @t39)) % 160.91/161.16 (define @t79 () (tptp.converse @t42)) % 160.91/161.16 (define @t80 () (@list tptp.one tptp.one)) % 160.91/161.16 (define @t81 () (@list @t72 tptp.one)) % 160.91/161.16 (define @t82 () (tptp.join @t66 @t66)) % 160.91/161.16 (define @t83 () (tptp.complement @t82)) % 160.91/161.16 (define @t84 () (@list @t83 @t72)) % 160.91/161.16 (define @t85 () (tptp.complement @t72)) % 160.91/161.16 (define @t86 () (tptp.join @t83 @t70)) % 160.91/161.16 (define @t87 () (tptp.complement @t86)) % 160.91/161.16 (define @t88 () (tptp.join @t83 @t72)) % 160.91/161.16 (define @t89 () (tptp.complement @t88)) % 160.91/161.16 (define @t90 () (tptp.join @t87 @t66)) % 160.91/161.16 (define @t91 () (tptp.composition tptp.one tptp.one)) % 160.91/161.16 (define @t92 () (tptp.complement @t91)) % 160.91/161.16 (define @t93 () (tptp.composition @t74 @t92)) % 160.91/161.16 (define @t94 () (tptp.join @t70 tptp.one)) % 160.91/161.16 (define @t95 () (tptp.join @t66 @t70)) % 160.91/161.16 (define @t96 () (tptp.complement @t95)) % 160.91/161.16 (define @t97 () (tptp.join @t66 @t72)) % 160.91/161.16 (define @t98 () (tptp.complement @t97)) % 160.91/161.16 (define @t99 () (tptp.join @t98 @t96)) % 160.91/161.16 (define @t100 () (tptp.join @t86 @t87)) % 160.91/161.16 (define @t101 () (tptp.join tptp.one @t70)) % 160.91/161.16 (define @t102 () (tptp.join @t72 @t66)) % 160.91/161.16 (define @t103 () (tptp.join @t70 @t98)) % 160.91/161.16 (define @t104 () (tptp.join @t70 @t66)) % 160.91/161.16 (define @t105 () (tptp.join @t98 @t95)) % 160.91/161.16 (define @t106 () (tptp.complement @t105)) % 160.91/161.16 (define @t107 () (tptp.complement @t99)) % 160.91/161.16 (define @t108 () (@list @t72)) % 160.91/161.16 (define @t109 () (tptp.complement (tptp.join @t66 @t86))) % 160.91/161.16 (define @t110 () (tptp.complement (tptp.join @t66 @t87))) % 160.91/161.16 (define @t111 () (tptp.join @t110 @t109)) % 160.91/161.16 (define @t112 () (tptp.join @t98 @t70)) % 160.91/161.16 (define @t113 () (tptp.join @t66 @t105)) % 160.91/161.16 (define @t114 () (tptp.join @t66 @t85)) % 160.91/161.16 (define @t115 () (tptp.complement @t114)) % 160.91/161.16 (define @t116 () (tptp.join @t115 @t109)) % 160.91/161.16 (define @t117 () (tptp.complement (tptp.join @t85 @t66))) % 160.91/161.16 (define @t118 () (tptp.join @t117 (tptp.complement (tptp.join @t85 tptp.one)))) % 160.91/161.16 (define @t119 () (tptp.join @t72 @t72)) % 160.91/161.16 (define @t120 () (tptp.converse @t72)) % 160.91/161.16 (define @t121 () (tptp.converse @t120)) % 160.91/161.16 (define @t122 () (@list @t83)) % 160.91/161.16 (define @t123 () (tptp.join @t120 @t120)) % 160.91/161.16 (define @t124 () (tptp.converse @t123)) % 160.91/161.16 (define @t125 () (tptp.converse @t83)) % 160.91/161.16 (define @t126 () (tptp.converse @t125)) % 160.91/161.16 (define @t127 () (tptp.join @t109 @t72)) % 160.91/161.16 (define @t128 () (tptp.converse @t74)) % 160.91/161.16 (define @t129 () (tptp.join @t72 tptp.one)) % 160.91/161.16 (define @t130 () (tptp.converse @t129)) % 160.91/161.16 (define @t131 () (tptp.converse @t130)) % 160.91/161.16 (define @t132 () (tptp.composition tptp.one @t129)) % 160.91/161.16 (define @t133 () (tptp.converse @t132)) % 160.91/161.16 (define @t134 () (tptp.composition @t130 @t74)) % 160.91/161.16 (define @t135 () (= @t133 @t134)) % 160.91/161.16 (define @t136 () (@list tptp.one @t129)) % 160.91/161.16 (define @t137 () (tptp.composition @t74 @t74)) % 160.91/161.16 (define @t138 () (tptp.composition @t130 @t137)) % 160.91/161.16 (define @t139 () (tptp.composition @t134 @t74)) % 160.91/161.16 (define @t140 () (= @t138 @t139)) % 160.91/161.16 (define @t141 () (@list @t130 @t74 @t74)) % 160.91/161.16 (define @t142 () (@list @t18)) % 160.91/161.16 (define @t143 () (tptp.join @t120 @t74)) % 160.91/161.16 (define @t144 () (= @t130 @t143)) % 160.91/161.16 (define @t145 () (tptp.composition @t120 @t74)) % 160.91/161.16 (define @t146 () (tptp.join @t145 @t74)) % 160.91/161.16 (define @t147 () (tptp.join @t83 tptp.one)) % 160.91/161.16 (define @t148 () (tptp.complement @t147)) % 160.91/161.16 (define @t149 () (tptp.complement (tptp.join @t83 @t66))) % 160.91/161.16 (define @t150 () (tptp.join @t70 @t149)) % 160.91/161.16 (define @t151 () (tptp.join @t66 @t83)) % 160.91/161.16 (define @t152 () (tptp.complement @t151)) % 160.91/161.16 (define @t153 () (tptp.join @t148 @t101)) % 160.91/161.16 (define @t154 () (tptp.join @t148 @t70)) % 160.91/161.16 (define @t155 () (tptp.complement @t154)) % 160.91/161.16 (define @t156 () (tptp.complement @t102)) % 160.91/161.16 (define @t157 () (tptp.converse @t66)) % 160.91/161.16 (define @t158 () (tptp.composition @t120 @t93)) % 160.91/161.16 (define @t159 () (tptp.composition @t125 @t93)) % 160.91/161.16 (define @t160 () (tptp.complement @t66)) % 160.91/161.16 (define @t161 () (tptp.meet tptp.one @t66)) % 160.91/161.16 (define @t162 () (tptp.join @t148 @t72)) % 160.91/161.16 (define @t163 () (tptp.complement @t162)) % 160.91/161.16 (define @t164 () (tptp.join @t83 @t110)) % 160.91/161.16 (define @t165 () (tptp.join @t164 @t72)) % 160.91/161.16 (define @t166 () (tptp.composition @t72 tptp.one)) % 160.91/161.16 (define @t167 () (tptp.composition @t124 @t128)) % 160.91/161.16 (define @t168 () (tptp.composition @t74 @t120)) % 160.91/161.16 (define @t169 () (tptp.join @t74 @t74)) % 160.91/161.16 (define @t170 () (tptp.join tptp.one tptp.one)) % 160.91/161.16 (define @t171 () (tptp.composition @t109 @t170)) % 160.91/161.16 (define @t172 () (tptp.composition @t171 tptp.one)) % 160.91/161.16 (define @t173 () (tptp.composition @t74 @t125)) % 160.91/161.16 (define @t174 () (tptp.composition @t110 @t170)) % 160.91/161.16 (define @t175 () (tptp.composition @t170 tptp.one)) % 160.91/161.16 (define @t176 () (tptp.composition @t110 @t175)) % 160.91/161.16 (define @t177 () (tptp.composition @t174 tptp.one)) % 160.91/161.16 (define @t178 () (= @t176 @t177)) % 160.91/161.16 (define @t179 () (@list @t110 @t170 tptp.one)) % 160.91/161.16 (define @t180 () (tptp.composition tptp.one @t170)) % 160.91/161.16 (define @t181 () (tptp.converse @t169)) % 160.91/161.16 (define @t182 () (tptp.join @t79 @t79)) % 160.91/161.16 (define @t183 () (tptp.join @t42 @t42)) % 160.91/161.16 (define @t184 () (tptp.join @t39 @t46)) % 160.91/161.16 (define @t185 () (tptp.join @t184 @t40)) % 160.91/161.16 (define @t186 () (tptp.join @t39 @t39)) % 160.91/161.16 (define @t187 () (tptp.join @t186 @t40)) % 160.91/161.16 (define @t188 () (tptp.join @t187 @t42)) % 160.91/161.16 (define @t189 () (tptp.join @t39 @t183)) % 160.91/161.16 (define @t190 () (tptp.join @t54 @t42)) % 160.91/161.16 (define @t191 () (= @t189 @t190)) % 160.91/161.16 (define @t192 () (@list @t10)) % 160.91/161.16 (define @t193 () (tptp.join @t46 @t42)) % 160.91/161.16 (define @t194 () (tptp.join @t42 @t46)) % 160.91/161.16 (define @t195 () (tptp.join @t42 @t193)) % 160.91/161.16 (define @t196 () (tptp.join @t194 @t42)) % 160.91/161.16 (define @t197 () (= @t195 @t196)) % 160.91/161.16 (define @t198 () (tptp.join @t39 @t40)) % 160.91/161.16 (define @t199 () (tptp.join @t39 @t43)) % 160.91/161.16 (define @t200 () (tptp.join @t194 @t39)) % 160.91/161.16 (define @t201 () (tptp.join @t43 @t194)) % 160.91/161.16 (define @t202 () (tptp.join @t196 @t40)) % 160.91/161.16 (define @t203 () (tptp.join @t38 @t183)) % 160.91/161.16 (define @t204 () (tptp.join @t200 @t39)) % 160.91/161.16 (define @t205 () (tptp.converse @t79)) % 160.91/161.16 (define @t206 () (tptp.composition @t74 @t79)) % 160.91/161.16 (define @t207 () (tptp.join @t115 @t70)) % 160.91/161.16 (define @t208 () (tptp.complement @t207)) % 160.91/161.16 (define @t209 () (tptp.join @t115 @t72)) % 160.91/161.16 (define @t210 () (tptp.complement @t209)) % 160.91/161.16 (define @t211 () (tptp.join @t125 @t125)) % 160.91/161.16 (define @t212 () (tptp.join @t66 @t96)) % 160.91/161.16 (define @t213 () (tptp.complement (tptp.join @t66 @t160))) % 160.91/161.16 (define @t214 () (= @t213 @t161)) % 160.91/161.16 (define @t215 () (tptp.join @t40 @t190)) % 160.91/161.16 (define @t216 () (tptp.join @t46 @t46)) % 160.91/161.16 (define @t217 () (tptp.join @t216 @t39)) % 160.91/161.16 (define @t218 () (tptp.join @t40 @t42)) % 160.91/161.16 (define @t219 () (tptp.join @t184 @t42)) % 160.91/161.16 (define @t220 () (tptp.join @t39 @t219)) % 160.91/161.16 (define @t221 () (tptp.join @t40 @t75)) % 160.91/161.16 (define @t222 () (= @t53 @t47)) % 160.91/161.16 (assume @p1 @t5) % 160.91/161.16 (assume @p2 @t10) % 160.91/161.16 (assume @p3 (forall @t4 (= @t1 (tptp.join @t13 (tptp.complement (tptp.join @t11 @t2)))))) % 160.91/161.16 (assume @p4 @t15) % 160.91/161.16 (assume @p5 @t18) % 160.91/161.16 (assume @p6 @t21) % 160.91/161.16 (assume @p7 (forall @t9 (= (tptp.composition @t3 @t6) (tptp.join (tptp.composition @t1 @t6) @t17)))) % 160.91/161.16 (assume @p8 @t24) % 160.91/161.16 (assume @p9 @t26) % 160.91/161.16 (assume @p10 @t27) % 160.91/161.16 (assume @p11 @t29) % 160.91/161.16 (assume @p12 (forall @t20 (= tptp.top (tptp.join @t1 @t11)))) % 160.91/161.16 (assume @p13 (forall @t20 (= tptp.zero (tptp.meet @t1 @t11)))) % 160.91/161.16 (assume @p14 @t34) % 160.91/161.16 (assume @p15 true) % 160.91/161.16 (step @p16 :rule bool-impl-elim :args (@t35 @t36)) % 160.91/161.16 (step @p17 :rule cong :premises (@p16) :args ((forall @t9 (=> @t35 @t36)))) % 160.91/161.16 (step @p18 :rule eq-symm :args (@t8 @t6)) % 160.91/161.16 (step @p19 :rule eq-symm :args (@t30 @t6)) % 160.91/161.16 (step @p20 :rule nary_cong :premises (@p19 @p18) :args (@t31)) % 160.91/161.16 (step @p21 :rule eq-symm :args (@t7 @t6)) % 160.91/161.16 (step @p22 :rule cong :premises (@p21 @p20) :args (@t32)) % 160.91/161.16 (step @p23 :rule cong :premises (@p22) :args (@t33)) % 160.91/161.16 (step @p24 :rule trans :premises (@p23 @p17)) % 160.91/161.16 (step @p25 :rule cong :premises (@p24) :args (@t34)) % 160.91/161.16 (step @p26 :rule eq_resolve :premises (@p14 @p25)) % 160.91/161.16 (step @p27 :rule skolemize :premises (@p26)) % 160.91/161.16 (step @p28 :rule cnf_or_neg :args (@t50 1)) % 160.91/161.16 (step @p29 :rule chain_m_resolution :premises (@p28 @p27) :args ((not @t45) @t51 @t52)) % 160.91/161.16 (step @p30 :rule bool-double-not-elim :args (@t48)) % 160.91/161.16 (step @p31 :rule refl :args (@t50)) % 160.91/161.16 (step @p32 :rule nary_cong :premises (@p31 @p30) :args ((or @t50 (not @t49)))) % 160.91/161.16 (step @p33 :rule cnf_or_neg :args (@t50 0)) % 160.91/161.16 (step @p34 :rule eq_resolve :premises (@p33 @p32)) % 160.91/161.16 (step @p35 :rule reordering :premises (@p34) :args ((or @t48 @t50))) % 160.91/161.16 (step @p36 :rule chain_m_resolution :premises (@p35 @p27) :args (@t48 @t51 @t52)) % 160.91/161.16 (step @p37 :rule symm :premises (@p36)) % 160.91/161.16 (step @p38 :rule instantiate :premises (@p2) :args ((@list @t42 @t39 @t38))) % 160.91/161.16 (step @p39 :rule trans :premises (@p38 @p37)) % 160.91/161.16 (step @p40 :rule refl :args (@t39)) % 160.91/161.16 (step @p41 :rule cong :premises (@p40 @p39) :args ((tptp.join @t39 @t53))) % 160.91/161.16 (step @p42 :rule instantiate :premises (@p2) :args ((@list @t39 @t42 @t40))) % 160.91/161.16 (step @p43 :rule symm :premises (@p42)) % 160.91/161.16 (step @p44 :rule instantiate :premises (@p1) :args ((@list @t54 @t40))) % 160.91/161.16 (step @p45 :rule symm :premises (@p44)) % 160.91/161.16 (step @p46 :rule instantiate :premises (@p2) :args ((@list @t40 @t39 @t42))) % 160.91/161.16 (step @p47 :rule symm :premises (@p46)) % 160.91/161.16 (step @p48 :rule instantiate :premises (@p3) :args (@t56)) % 160.91/161.16 (step @p49 :rule symm :premises (@p48)) % 160.91/161.16 (step @p50 :rule refl :args (@t57)) % 160.91/161.16 (step @p51 :rule eq-symm :args (@t14 @t13)) % 160.91/161.16 (step @p52 :rule cong :premises (@p51) :args (@t15)) % 160.91/161.16 (step @p53 :rule eq_resolve :premises (@p4 @p52)) % 160.91/161.16 (step @p54 :rule eq-symm :args (@t58 @t59)) % 160.91/161.16 (step @p55 :rule refl :args (@t60)) % 160.91/161.16 (step @p56 :rule cong :premises (@p55 @p54) :args ((=> @t60 @t61))) % 160.91/161.16 (assume-push @p928 @t60) % 160.91/161.16 (step @p58 :rule instantiate :premises (@p53) :args (@t56)) % 160.91/161.16 (step-pop @p929 :rule scope :premises (@p58)) % 160.91/161.16 (step @p59 :rule process_scope :premises (@p929) :args (@t61)) % 160.91/161.16 (step @p61 :rule eq_resolve :premises (@p59 @p56)) % 160.91/161.16 (step @p62 :rule implies_elim :premises (@p61)) % 160.91/161.16 (step @p63 :rule chain_m_resolution :premises (@p62 @p53) :args ((= @t59 @t58) @t62 @t63)) % 160.91/161.16 (step @p64 :rule instantiate :premises (@p13) :args (@t64)) % 160.91/161.16 (step @p65 :rule instantiate :premises (@p13) :args (@t65)) % 160.91/161.16 (step @p66 :rule symm :premises (@p65)) % 160.91/161.16 (step @p67 :rule instantiate :premises (@p53) :args (@t67)) % 160.91/161.16 (step @p68 :rule instantiate :premises (@p12) :args (@t68)) % 160.91/161.16 (step @p69 :rule instantiate :premises (@p12) :args (@t65)) % 160.91/161.16 (step @p70 :rule symm :premises (@p69)) % 160.91/161.16 (step @p71 :rule eq-symm :args (@t69 @t70)) % 160.91/161.16 (step @p72 :rule refl :args (@t5)) % 160.91/161.16 (step @p73 :rule cong :premises (@p72 @p71) :args ((=> @t5 @t71))) % 160.91/161.16 (assume-push @p930 @t5) % 160.91/161.16 (step @p75 :rule instantiate :premises (@p1) :args (@t67)) % 160.91/161.16 (step-pop @p931 :rule scope :premises (@p75)) % 160.91/161.16 (step @p76 :rule process_scope :premises (@p931) :args (@t71)) % 160.91/161.16 (step @p78 :rule eq_resolve :premises (@p76 @p73)) % 160.91/161.16 (step @p79 :rule implies_elim :premises (@p78)) % 160.91/161.16 (step @p80 :rule chain_m_resolution :premises (@p79 @p1) :args ((= @t70 @t69) @t62 (@list @t5))) % 160.91/161.16 (step @p81 :rule trans :premises (@p80 @p70 @p68)) % 160.91/161.16 (step @p82 :rule cong :premises (@p81) :args (@t72)) % 160.91/161.16 (step @p83 :rule trans :premises (@p82 @p67 @p66 @p64 @p63)) % 160.91/161.16 (step @p84 :rule eq-symm :args (@t28 @t12)) % 160.91/161.16 (step @p85 :rule cong :premises (@p84) :args (@t29)) % 160.91/161.16 (step @p86 :rule eq_resolve :premises (@p11 @p85)) % 160.91/161.16 (step @p87 :rule instantiate :premises (@p86) :args (@t73)) % 160.91/161.16 (step @p88 :rule symm :premises (@p87)) % 160.91/161.16 (step @p89 :rule symm :premises (@p83)) % 160.91/161.16 (step @p90 :rule refl :args (@t75)) % 160.91/161.16 (step @p91 :rule cong :premises (@p90 @p89) :args (@t76)) % 160.91/161.16 (step @p92 :rule trans :premises (@p91 @p88)) % 160.91/161.16 (step @p93 :rule trans :premises (@p92 @p83)) % 160.91/161.16 (step @p94 :rule cong :premises (@p93 @p50) :args ((tptp.join @t76 @t57))) % 160.91/161.16 (step @p95 :rule instantiate :premises (@p2) :args ((@list @t75 @t58 @t57))) % 160.91/161.16 (step @p96 :rule cong :premises (@p90 @p48) :args (@t77)) % 160.91/161.16 (step @p97 :rule trans :premises (@p96 @p95 @p94 @p49)) % 160.91/161.16 (step @p98 :rule refl :args (@t78)) % 160.91/161.16 (step @p99 :rule cong :premises (@p98 @p97) :args ((tptp.join @t78 @t77))) % 160.91/161.16 (step @p100 :rule instantiate :premises (@p2) :args ((@list @t78 @t75 @t42))) % 160.91/161.16 (step @p101 :rule symm :premises (@p100)) % 160.91/161.16 (step @p102 :rule eq-symm :args (@t23 @t1)) % 160.91/161.16 (step @p103 :rule cong :premises (@p102) :args (@t24)) % 160.91/161.16 (step @p104 :rule eq_resolve :premises (@p8 @p103)) % 160.91/161.16 (step @p105 :rule instantiate :premises (@p104) :args (@t64)) % 160.91/161.16 (step @p106 :rule symm :premises (@p105)) % 160.91/161.16 (step @p107 :rule eq-symm :args (@t19 @t1)) % 160.91/161.16 (step @p108 :rule cong :premises (@p107) :args (@t21)) % 160.91/161.16 (step @p109 :rule eq_resolve :premises (@p6 @p108)) % 160.91/161.16 (step @p110 :rule instantiate :premises (@p109) :args (@t64)) % 160.91/161.16 (step @p111 :rule symm :premises (@p110)) % 160.91/161.16 (step @p112 :rule cong :premises (@p111) :args ((tptp.converse (tptp.composition @t42 tptp.one)))) % 160.91/161.16 (step @p113 :rule instantiate :premises (@p10) :args ((@list @t42 tptp.one))) % 160.91/161.16 (step @p114 :rule symm :premises (@p113)) % 160.91/161.16 (step @p115 :rule refl :args (@t79)) % 160.91/161.16 (step @p116 :rule instantiate :premises (@p109) :args (@t65)) % 160.91/161.16 (step @p117 :rule symm :premises (@p116)) % 160.91/161.16 (step @p118 :rule instantiate :premises (@p3) :args (@t80)) % 160.91/161.16 (step @p119 :rule symm :premises (@p118)) % 160.91/161.16 (step @p120 :rule instantiate :premises (@p3) :args (@t81)) % 160.91/161.16 (step @p121 :rule symm :premises (@p120)) % 160.91/161.16 (step @p122 :rule instantiate :premises (@p1) :args (@t84)) % 160.91/161.16 (step @p123 :rule symm :premises (@p122)) % 160.91/161.16 (step @p124 :rule trans :premises (@p123 @p119)) % 160.91/161.16 (step @p125 :rule refl :args (@t85)) % 160.91/161.16 (step @p126 :rule cong :premises (@p125 @p124) :args ((tptp.join @t85 (tptp.join @t72 @t83)))) % 160.91/161.16 (step @p127 :rule instantiate :premises (@p2) :args ((@list @t85 @t72 @t83))) % 160.91/161.16 (step @p128 :rule symm :premises (@p127)) % 160.91/161.16 (step @p129 :rule instantiate :premises (@p3) :args ((@list @t82 @t70))) % 160.91/161.16 (step @p130 :rule symm :premises (@p129)) % 160.91/161.16 (step @p131 :rule instantiate :premises (@p1) :args ((@list @t89 @t87))) % 160.91/161.16 (step @p132 :rule symm :premises (@p131)) % 160.91/161.16 (step @p133 :rule cong :premises (@p118) :args (@t66)) % 160.91/161.16 (step @p134 :rule refl :args (@t87)) % 160.91/161.16 (step @p135 :rule cong :premises (@p134 @p133) :args (@t90)) % 160.91/161.16 (step @p136 :rule trans :premises (@p135 @p132 @p130)) % 160.91/161.16 (step @p137 :rule cong :premises (@p136) :args ((tptp.complement @t90))) % 160.91/161.16 (step @p138 :rule symm :premises (@p135)) % 160.91/161.16 (step @p139 :rule instantiate :premises (@p86) :args (@t80)) % 160.91/161.16 (step @p140 :rule symm :premises (@p139)) % 160.91/161.16 (step @p141 :rule refl :args (@t93)) % 160.91/161.16 (step @p142 :rule cong :premises (@p141 @p140) :args ((tptp.join @t93 (tptp.join @t93 @t66)))) % 160.91/161.16 (step @p143 :rule instantiate :premises (@p2) :args ((@list @t93 @t93 @t66))) % 160.91/161.16 (step @p144 :rule symm :premises (@p143)) % 160.91/161.16 (step @p145 :rule trans :premises (@p144 @p142 @p140)) % 160.91/161.16 (step @p146 :rule trans :premises (@p145 @p133)) % 160.91/161.16 (step @p147 :rule cong :premises (@p146 @p134) :args ((tptp.join (tptp.join (tptp.join @t93 @t93) @t66) @t87))) % 160.91/161.16 (step @p148 :rule symm :premises (@p145)) % 160.91/161.16 (step @p149 :rule instantiate :premises (@p86) :args ((@list @t70 tptp.one))) % 160.91/161.16 (step @p150 :rule symm :premises (@p149)) % 160.91/161.16 (step @p151 :rule trans :premises (@p150 @p148)) % 160.91/161.16 (step @p152 :rule cong :premises (@p151 @p134) :args ((tptp.join (tptp.join (tptp.composition (tptp.converse @t70) (tptp.complement (tptp.composition @t70 tptp.one))) @t66) @t87))) % 160.91/161.16 (step @p153 :rule instantiate :premises (@p1) :args ((@list @t83 @t70))) % 160.91/161.16 (step @p154 :rule symm :premises (@p153)) % 160.91/161.16 (step @p155 :rule refl :args (@t83)) % 160.91/161.16 (step @p75 :rule instantiate :premises (@p1) :args (@t67)) % 160.91/161.16 (step @p156 :rule instantiate :premises (@p12) :args ((@list @t70))) % 160.91/161.16 (step @p157 :rule symm :premises (@p156)) % 160.91/161.16 (step @p158 :rule trans :premises (@p157 @p69 @p75)) % 160.91/161.16 (step @p159 :rule cong :premises (@p158 @p155) :args ((tptp.join (tptp.join @t70 @t72) @t83))) % 160.91/161.16 (step @p160 :rule instantiate :premises (@p2) :args ((@list @t70 @t72 @t83))) % 160.91/161.16 (step @p161 :rule symm :premises (@p124)) % 160.91/161.16 (step @p162 :rule refl :args (@t70)) % 160.91/161.16 (step @p163 :rule cong :premises (@p162 @p161) :args (@t94)) % 160.91/161.16 (step @p164 :rule instantiate :premises (@p1) :args (@t73)) % 160.91/161.16 (step @p165 :rule instantiate :premises (@p3) :args (@t73)) % 160.91/161.16 (step @p166 :rule symm :premises (@p165)) % 160.91/161.16 (step @p167 :rule cong :premises (@p166 @p162) :args ((tptp.join @t99 @t70))) % 160.91/161.16 (step @p168 :rule instantiate :premises (@p2) :args ((@list @t98 @t96 @t70))) % 160.91/161.16 (step @p169 :rule instantiate :premises (@p12) :args ((@list @t86))) % 160.91/161.16 (step @p170 :rule symm :premises (@p169)) % 160.91/161.16 (step @p171 :rule trans :premises (@p170 @p69 @p75)) % 160.91/161.16 (step @p172 :rule refl :args (@t96)) % 160.91/161.16 (step @p173 :rule cong :premises (@p172 @p171) :args ((tptp.join @t96 @t100))) % 160.91/161.16 (step @p174 :rule instantiate :premises (@p2) :args ((@list @t96 @t86 @t87))) % 160.91/161.16 (step @p175 :rule symm :premises (@p174)) % 160.91/161.16 (step @p176 :rule trans :premises (@p164 @p163 @p160 @p159 @p154)) % 160.91/161.16 (step @p177 :rule cong :premises (@p172 @p176) :args ((tptp.join @t96 @t101))) % 160.91/161.16 (step @p178 :rule symm :premises (@p164)) % 160.91/161.16 (step @p179 :rule symm :premises (@p163)) % 160.91/161.16 (step @p180 :rule symm :premises (@p160)) % 160.91/161.16 (step @p181 :rule symm :premises (@p159)) % 160.91/161.16 (step @p182 :rule instantiate :premises (@p12) :args ((@list @t97))) % 160.91/161.16 (step @p183 :rule symm :premises (@p182)) % 160.91/161.16 (step @p184 :rule trans :premises (@p183 @p69 @p75)) % 160.91/161.16 (step @p185 :rule cong :premises (@p155 @p184) :args ((tptp.join @t83 (tptp.join @t97 @t98)))) % 160.91/161.16 (step @p186 :rule instantiate :premises (@p2) :args ((@list @t83 @t97 @t98))) % 160.91/161.16 (step @p187 :rule symm :premises (@p186)) % 160.91/161.16 (step @p188 :rule refl :args (@t98)) % 160.91/161.16 (step @p189 :rule instantiate :premises (@p1) :args ((@list @t72 @t66))) % 160.91/161.16 (step @p190 :rule cong :premises (@p155 @p189) :args ((tptp.join @t83 @t102))) % 160.91/161.16 (step @p191 :rule instantiate :premises (@p2) :args ((@list @t83 @t72 @t66))) % 160.91/161.16 (step @p192 :rule symm :premises (@p191)) % 160.91/161.16 (step @p193 :rule refl :args (@t66)) % 160.91/161.16 (step @p194 :rule cong :premises (@p118 @p193) :args (@t69)) % 160.91/161.16 (step @p195 :rule trans :premises (@p80 @p194 @p192 @p190)) % 160.91/161.16 (step @p196 :rule cong :premises (@p195 @p188) :args (@t103)) % 160.91/161.16 (step @p197 :rule trans :premises (@p196 @p187 @p185 @p153 @p181 @p180 @p179 @p178)) % 160.91/161.16 (step @p198 :rule cong :premises (@p172 @p197) :args ((tptp.join @t96 @t103))) % 160.91/161.16 (step @p199 :rule instantiate :premises (@p1) :args ((@list @t103 @t96))) % 160.91/161.16 (step @p200 :rule instantiate :premises (@p2) :args ((@list @t70 @t98 @t96))) % 160.91/161.16 (step @p201 :rule cong :premises (@p162 @p165) :args (@t94)) % 160.91/161.16 (step @p202 :rule trans :premises (@p164 @p201 @p200 @p199 @p198 @p177)) % 160.91/161.16 (step @p203 :rule symm :premises (@p176)) % 160.91/161.16 (step @p204 :rule trans :premises (@p203 @p202)) % 160.91/161.16 (step @p205 :rule cong :premises (@p204 @p134) :args (@t100)) % 160.91/161.16 (step @p206 :rule instantiate :premises (@p12) :args ((@list @t95))) % 160.91/161.16 (step @p207 :rule symm :premises (@p206)) % 160.91/161.16 (step @p208 :rule instantiate :premises (@p1) :args ((@list @t95 @t96))) % 160.91/161.16 (step @p209 :rule symm :premises (@p208)) % 160.91/161.16 (step @p210 :rule instantiate :premises (@p1) :args ((@list @t66 @t70))) % 160.91/161.16 (step @p211 :rule symm :premises (@p210)) % 160.91/161.16 (step @p212 :rule cong :premises (@p172 @p211) :args ((tptp.join @t96 @t104))) % 160.91/161.16 (step @p213 :rule instantiate :premises (@p2) :args ((@list @t96 @t70 @t66))) % 160.91/161.16 (step @p214 :rule symm :premises (@p213)) % 160.91/161.16 (step @p215 :rule trans :premises (@p80 @p70 @p169 @p205 @p175 @p173)) % 160.91/161.16 (step @p216 :rule cong :premises (@p215 @p193) :args (@t104)) % 160.91/161.16 (step @p217 :rule trans :premises (@p216 @p214 @p212 @p209 @p207 @p169 @p205 @p175 @p173)) % 160.91/161.16 (step @p218 :rule cong :premises (@p188 @p217) :args ((tptp.join @t98 @t104))) % 160.91/161.16 (step @p219 :rule cong :premises (@p188 @p210) :args (@t105)) % 160.91/161.16 (step @p220 :rule trans :premises (@p219 @p218 @p168 @p167 @p164 @p163 @p160 @p159 @p154)) % 160.91/161.16 (step @p221 :rule cong :premises (@p220) :args (@t106)) % 160.91/161.16 (step @p222 :rule cong :premises (@p166) :args (@t107)) % 160.91/161.16 (step @p223 :rule trans :premises (@p222 @p149)) % 160.91/161.16 (step @p224 :rule cong :premises (@p223 @p221) :args ((tptp.join @t107 @t106))) % 160.91/161.16 (step @p225 :rule instantiate :premises (@p3) :args ((@list @t97 @t95))) % 160.91/161.16 (step @p226 :rule trans :premises (@p225 @p224 @p152 @p147 @p131 @p138)) % 160.91/161.16 (step @p227 :rule cong :premises (@p226) :args (@t98)) % 160.91/161.16 (step @p228 :rule trans :premises (@p227 @p137)) % 160.91/161.16 (step @p229 :rule instantiate :premises (@p1) :args ((@list @t72 @t85))) % 160.91/161.16 (step @p230 :rule instantiate :premises (@p12) :args (@t108)) % 160.91/161.16 (step @p231 :rule trans :premises (@p80 @p70 @p230 @p229)) % 160.91/161.16 (step @p232 :rule cong :premises (@p231 @p228) :args (@t103)) % 160.91/161.16 (step @p233 :rule symm :premises (@p196)) % 160.91/161.16 (step @p234 :rule symm :premises (@p185)) % 160.91/161.16 (step @p235 :rule instantiate :premises (@p3) :args ((@list tptp.one @t86))) % 160.91/161.16 (step @p236 :rule symm :premises (@p235)) % 160.91/161.16 (step @p237 :rule cong :premises (@p162 @p236) :args ((tptp.join @t70 @t111))) % 160.91/161.16 (step @p238 :rule instantiate :premises (@p2) :args ((@list @t70 @t110 @t109))) % 160.91/161.16 (step @p239 :rule symm :premises (@p238)) % 160.91/161.16 (step @p240 :rule instantiate :premises (@p1) :args ((@list @t66 @t86))) % 160.91/161.16 (step @p241 :rule symm :premises (@p240)) % 160.91/161.16 (step @p242 :rule cong :premises (@p188 @p215) :args (@t112)) % 160.91/161.16 (step @p243 :rule trans :premises (@p242 @p168 @p167)) % 160.91/161.16 (step @p244 :rule trans :premises (@p243 @p176)) % 160.91/161.16 (step @p245 :rule cong :premises (@p244 @p193) :args ((tptp.join @t112 @t66))) % 160.91/161.16 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@t216 @t39))) % 160.91/161.16 (step @p885 :rule symm :premises (@p884)) % 160.91/161.16 (step @p886 :rule instantiate :premises (@p2) :args ((@list @t42 @t39 @t46))) % 160.91/161.16 (step @p887 :rule instantiate :premises (@p1) :args ((@list @t42 @t184))) % 160.91/161.16 (step @p888 :rule symm :premises (@p887)) % 160.91/161.16 (step @p889 :rule trans :premises (@p888 @p886)) % 160.91/161.16 (step @p890 :rule cong :premises (@p40 @p889) :args (@t220)) % 160.91/161.16 (step @p891 :rule trans :premises (@p890 @p885)) % 160.91/161.16 (step @p892 :rule cong :premises (@p891 @p597) :args ((tptp.join @t220 @t40))) % 160.91/161.16 (step @p893 :rule instantiate :premises (@p2) :args ((@list @t39 @t219 @t40))) % 160.91/161.16 (step @p894 :rule instantiate :premises (@p2) :args ((@list @t184 @t42 @t40))) % 160.91/161.16 (step @p895 :rule refl :args (@t184)) % 160.91/161.16 (step @p896 :rule cong :premises (@p895 @p677) :args ((tptp.join @t184 @t38))) % 160.91/161.16 (step @p897 :rule instantiate :premises (@p2) :args ((@list @t39 @t46 @t38))) % 160.91/161.16 (step @p898 :rule cong :premises (@p40 @p36) :args (@t40)) % 160.91/161.16 (step @p899 :rule trans :premises (@p898 @p897 @p896 @p894)) % 160.91/161.16 (step @p900 :rule cong :premises (@p40 @p899) :args (@t198)) % 160.91/161.16 (step @p901 :rule trans :premises (@p591 @p900 @p893 @p892)) % 160.91/161.16 (step @p902 :rule cong :premises (@p901 @p654) :args ((tptp.join @t78 @t42))) % 160.91/161.16 (step @p903 :rule trans :premises (@p719 @p42 @p44 @p46 @p902 @p883 @p881 @p875)) % 160.91/161.16 (step @p904 :rule symm :premises (@p612)) % 160.91/161.16 (step @p905 :rule trans :premises (@p904 @p96 @p95 @p94 @p49)) % 160.91/161.16 (step @p906 :rule cong :premises (@p98 @p905) :args ((tptp.join @t78 (tptp.join @t42 @t75)))) % 160.91/161.16 (step @p907 :rule instantiate :premises (@p2) :args ((@list @t78 @t42 @t75))) % 160.91/161.16 (step @p908 :rule symm :premises (@p907)) % 160.91/161.16 (step @p909 :rule trans :premises (@p719 @p42 @p44 @p46)) % 160.91/161.16 (step @p910 :rule cong :premises (@p909 @p90) :args (@t221)) % 160.91/161.16 (step @p911 :rule trans :premises (@p910 @p908 @p906 @p47 @p45 @p43 @p41)) % 160.91/161.16 (step @p912 :rule trans :premises (@p911 @p903)) % 160.91/161.16 (step @p913 :rule cong :premises (@p912 @p862) :args ((tptp.join @t221 @t42))) % 160.91/161.16 (step @p914 :rule instantiate :premises (@p2) :args ((@list @t40 @t75 @t42))) % 160.91/161.16 (step @p915 :rule trans :premises (@p48 @p615 @p614 @p613)) % 160.91/161.16 (step @p916 :rule cong :premises (@p597 @p915) :args (@t218)) % 160.91/161.16 (step @p917 :rule eq-symm :args (@t53 @t47)) % 160.91/161.16 (step @p918 :rule cong :premises (@p645 @p917) :args ((=> @t10 @t222))) % 160.91/161.16 (assume-push @p946 @t10) % 160.91/161.16 (step-pop @p947 :rule scope :premises (@p38)) % 160.91/161.16 (step @p920 :rule process_scope :premises (@p947) :args (@t222)) % 160.91/161.16 (step @p922 :rule eq_resolve :premises (@p920 @p918)) % 160.91/161.16 (step @p923 :rule implies_elim :premises (@p922)) % 160.91/161.16 (step @p924 :rule chain_m_resolution :premises (@p923 @p2) :args ((= @t47 @t53) @t62 @t192)) % 160.91/161.16 (step @p925 :rule trans :premises (@p36 @p924 @p863 @p916 @p914 @p913 @p742 @p740 @p705 @p703 @p696 @p694 @p690 @p689)) % 160.91/161.16 (step @p926 :rule cnf_and_neg :args (@t45)) % 160.91/161.16 (step @p927 false :rule chain_m_resolution :premises (@p926 @p925 @p688 @p29) :args (false (@list false false true) (@list @t44 @t41 @t45))) % 160.91/161.16 ) % 160.91/161.16 % SZS output end Proof % 160.91/161.16 % cvc5 exiting %------------------------------------------------------------------------------