%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE120+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 : n007.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:28:20 AM UTC 2026 % Result : Theorem 34.94s 35.18s % Output : Proof 34.94s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE120+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 % 0.14/0.34 % Computer : n007.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Tue Jun 2 05:16:11 EDT 2026 % 0.14/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 34.94/35.18 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.94/35.18 --- Run --no-e-matching --full-saturate-quant at 6... % 34.94/35.18 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.94/35.18 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.94/35.18 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.94/35.18 % SZS status Theorem % 34.94/35.18 % SZS output start Proof % 34.94/35.18 ( % 34.94/35.18 (declare-sort $$unsorted 0) % 34.94/35.18 (declare-const tptp.backward_box (-> $$unsorted $$unsorted $$unsorted)) % 34.94/35.18 (declare-const tptp.forward_box (-> $$unsorted $$unsorted $$unsorted)) % 34.94/35.18 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 34.94/35.18 (declare-const tptp.backward_diamond (-> $$unsorted $$unsorted $$unsorted)) % 34.94/35.18 (declare-const tptp.zero $$unsorted) % 34.94/35.18 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 34.94/35.18 (declare-const tptp.codomain (-> $$unsorted $$unsorted)) % 34.94/35.18 (declare-const tptp.one $$unsorted) % 34.94/35.18 (declare-const tptp.antidomain (-> $$unsorted $$unsorted)) % 34.94/35.18 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 34.94/35.18 (declare-const tptp.c (-> $$unsorted $$unsorted)) % 34.94/35.18 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 34.94/35.18 (declare-const tptp.domain_difference (-> $$unsorted $$unsorted $$unsorted)) % 34.94/35.18 (declare-const tptp.coantidomain (-> $$unsorted $$unsorted)) % 34.94/35.18 (declare-const tptp.forward_diamond (-> $$unsorted $$unsorted $$unsorted)) % 34.94/35.18 (define @t1 () (@var "A" $$unsorted)) % 34.94/35.18 (define @t2 () (@var "B" $$unsorted)) % 34.94/35.18 (define @t3 () (tptp.addition @t1 @t2)) % 34.94/35.18 (define @t4 () (@list @t1 @t2)) % 34.94/35.18 (define @t5 () (@var "C" $$unsorted)) % 34.94/35.18 (define @t6 () (tptp.addition @t2 @t5)) % 34.94/35.18 (define @t7 () (tptp.addition @t1 tptp.zero)) % 34.94/35.18 (define @t8 () (@list @t1)) % 34.94/35.18 (define @t9 () (forall @t8 (= @t7 @t1))) % 34.94/35.18 (define @t10 () (tptp.addition @t1 @t1)) % 34.94/35.18 (define @t11 () (forall @t8 (= @t10 @t1))) % 34.94/35.18 (define @t12 () (tptp.multiplication @t1 @t2)) % 34.94/35.18 (define @t13 () (tptp.multiplication @t2 @t5)) % 34.94/35.18 (define @t14 () (@list @t1 @t2 @t5)) % 34.94/35.18 (define @t15 () (forall @t14 (= (tptp.multiplication @t1 @t13) (tptp.multiplication @t12 @t5)))) % 34.94/35.18 (define @t16 () (tptp.multiplication @t1 tptp.one)) % 34.94/35.18 (define @t17 () (forall @t8 (= @t16 @t1))) % 34.94/35.18 (define @t18 () (tptp.multiplication tptp.one @t1)) % 34.94/35.18 (define @t19 () (forall @t8 (= @t18 @t1))) % 34.94/35.18 (define @t20 () (tptp.multiplication @t1 @t5)) % 34.94/35.18 (define @t21 () (tptp.multiplication tptp.zero @t1)) % 34.94/35.18 (define @t22 () (forall @t8 (= @t21 tptp.zero))) % 34.94/35.18 (define @t23 () (@var "X0" $$unsorted)) % 34.94/35.18 (define @t24 () (tptp.antidomain @t23)) % 34.94/35.18 (define @t25 () (tptp.multiplication @t24 @t23)) % 34.94/35.18 (define @t26 () (@list @t23)) % 34.94/35.18 (define @t27 () (forall @t26 (= @t25 tptp.zero))) % 34.94/35.18 (define @t28 () (@var "X1" $$unsorted)) % 34.94/35.18 (define @t29 () (tptp.antidomain @t28)) % 34.94/35.18 (define @t30 () (tptp.antidomain (tptp.multiplication @t23 (tptp.antidomain @t29)))) % 34.94/35.18 (define @t31 () (tptp.multiplication @t23 @t28)) % 34.94/35.18 (define @t32 () (@list @t23 @t28)) % 34.94/35.18 (define @t33 () (tptp.antidomain @t24)) % 34.94/35.18 (define @t34 () (tptp.addition @t33 @t24)) % 34.94/35.18 (define @t35 () (forall @t26 (= @t34 tptp.one))) % 34.94/35.18 (define @t36 () (tptp.domain @t23)) % 34.94/35.18 (define @t37 () (forall @t26 (= @t36 @t33))) % 34.94/35.18 (define @t38 () (tptp.coantidomain @t23)) % 34.94/35.18 (define @t39 () (tptp.multiplication @t23 @t38)) % 34.94/35.18 (define @t40 () (forall @t26 (= @t39 tptp.zero))) % 34.94/35.18 (define @t41 () (tptp.coantidomain @t38)) % 34.94/35.18 (define @t42 () (tptp.coantidomain (tptp.multiplication @t41 @t28))) % 34.94/35.18 (define @t43 () (tptp.addition (tptp.coantidomain @t31) @t42)) % 34.94/35.18 (define @t44 () (forall @t32 (= @t43 @t42))) % 34.94/35.18 (define @t45 () (tptp.addition @t41 @t38)) % 34.94/35.18 (define @t46 () (forall @t26 (= @t45 tptp.one))) % 34.94/35.18 (define @t47 () (tptp.codomain @t23)) % 34.94/35.18 (define @t48 () (forall @t26 (= @t47 @t41))) % 34.94/35.18 (define @t49 () (tptp.c @t28)) % 34.94/35.18 (define @t50 () (tptp.addition (tptp.backward_diamond tptp.one @t36) @t36)) % 34.94/35.18 (define @t51 () (forall @t26 (= @t50 @t36))) % 34.94/35.18 (define @t52 () (not @t51)) % 34.94/35.18 (define @t53 () (@quantifiers_skolemize (forall @t26 (= @t36 @t50)) 0)) % 34.94/35.18 (define @t54 () (tptp.domain @t53)) % 34.94/35.18 (define @t55 () (tptp.backward_diamond tptp.one @t54)) % 34.94/35.18 (define @t56 () (tptp.antidomain @t53)) % 34.94/35.18 (define @t57 () (tptp.antidomain @t56)) % 34.94/35.18 (define @t58 () (forall @t26 (= @t33 @t36))) % 34.94/35.18 (define @t59 () (= @t57 @t54)) % 34.94/35.18 (define @t60 () (@list @t53)) % 34.94/35.18 (define @t61 () (= @t54 @t57)) % 34.94/35.18 (define @t62 () (@list false)) % 34.94/35.18 (define @t63 () (tptp.codomain @t54)) % 34.94/35.18 (define @t64 () (@list @t54)) % 34.94/35.18 (define @t65 () (@list @t56)) % 34.94/35.18 (define @t66 () (tptp.coantidomain @t54)) % 34.94/35.18 (define @t67 () (tptp.coantidomain @t66)) % 34.94/35.18 (define @t68 () (forall @t26 (= @t41 @t47))) % 34.94/35.18 (define @t69 () (= @t67 @t63)) % 34.94/35.18 (define @t70 () (= @t63 @t67)) % 34.94/35.18 (define @t71 () (@list @t68)) % 34.94/35.18 (define @t72 () (tptp.multiplication @t63 tptp.one)) % 34.94/35.18 (define @t73 () (tptp.coantidomain @t72)) % 34.94/35.18 (define @t74 () (tptp.coantidomain @t73)) % 34.94/35.18 (define @t75 () (tptp.codomain @t72)) % 34.94/35.18 (define @t76 () (= @t74 @t75)) % 34.94/35.18 (define @t77 () (@list @t72)) % 34.94/35.18 (define @t78 () (= @t75 @t74)) % 34.94/35.18 (define @t79 () (tptp.antidomain @t57)) % 34.94/35.18 (define @t80 () (@list @t73)) % 34.94/35.18 (define @t81 () (@list @t66)) % 34.94/35.18 (define @t82 () (@list @t57)) % 34.94/35.18 (define @t83 () (tptp.domain @t56)) % 34.94/35.18 (define @t84 () (@list @t73 @t54 @t55)) % 34.94/35.18 (define @t85 () (tptp.multiplication @t67 tptp.one)) % 34.94/35.18 (define @t86 () (tptp.coantidomain @t85)) % 34.94/35.18 (define @t87 () (tptp.multiplication @t54 tptp.one)) % 34.94/35.18 (define @t88 () (tptp.coantidomain @t87)) % 34.94/35.18 (define @t89 () (tptp.multiplication @t63 @t57)) % 34.94/35.18 (define @t90 () (tptp.multiplication @t63 @t79)) % 34.94/35.18 (define @t91 () (tptp.coantidomain @t67)) % 34.94/35.18 (define @t92 () (@list @t73 @t74 @t57)) % 34.94/35.18 (define @t93 () (tptp.multiplication @t73 @t54)) % 34.94/35.18 (define @t94 () (tptp.multiplication @t72 @t88)) % 34.94/35.18 (define @t95 () (tptp.multiplication tptp.one @t74)) % 34.94/35.18 (define @t96 () (@list tptp.one)) % 34.94/35.18 (define @t97 () (tptp.coantidomain tptp.one)) % 34.94/35.18 (define @t98 () (tptp.multiplication @t67 @t79)) % 34.94/35.18 (define @t99 () (tptp.coantidomain @t98)) % 34.94/35.18 (define @t100 () (tptp.multiplication @t54 @t79)) % 34.94/35.18 (define @t101 () (tptp.coantidomain @t100)) % 34.94/35.18 (define @t102 () (tptp.multiplication @t98 @t101)) % 34.94/35.18 (define @t103 () (tptp.coantidomain @t97)) % 34.94/35.18 (define @t104 () (tptp.multiplication @t74 @t57)) % 34.94/35.18 (define @t105 () (tptp.multiplication @t57 @t74)) % 34.94/35.18 (define @t106 () (tptp.multiplication @t79 tptp.one)) % 34.94/35.18 (define @t107 () (tptp.multiplication @t63 @t106)) % 34.94/35.18 (define @t108 () (tptp.multiplication @t90 tptp.one)) % 34.94/35.18 (define @t109 () (= @t107 @t108)) % 34.94/35.18 (define @t110 () (= @t108 @t107)) % 34.94/35.18 (define @t111 () (tptp.addition @t74 @t73)) % 34.94/35.18 (define @t112 () (tptp.addition @t54 @t55)) % 34.94/35.18 (define @t113 () (tptp.addition @t55 @t54)) % 34.94/35.18 (define @t114 () (= @t113 @t112)) % 34.94/35.18 (define @t115 () (= @t55 @t75)) % 34.94/35.18 (define @t116 () (= @t63 @t72)) % 34.94/35.18 (define @t117 () (tptp.antidomain @t54)) % 34.94/35.18 (define @t118 () (= tptp.zero (tptp.multiplication @t117 @t54))) % 34.94/35.18 (define @t119 () (tptp.multiplication @t57 @t56)) % 34.94/35.18 (define @t120 () (= tptp.zero @t119)) % 34.94/35.18 (define @t121 () (tptp.addition @t57 @t56)) % 34.94/35.18 (define @t122 () (= tptp.one @t121)) % 34.94/35.18 (define @t123 () (tptp.addition @t79 @t57)) % 34.94/35.18 (define @t124 () (= tptp.one @t123)) % 34.94/35.18 (define @t125 () (= @t79 @t83)) % 34.94/35.18 (define @t126 () (tptp.addition @t56 @t57)) % 34.94/35.18 (define @t127 () (= @t121 @t126)) % 34.94/35.18 (define @t128 () (tptp.addition @t57 @t79)) % 34.94/35.18 (define @t129 () (= @t123 @t128)) % 34.94/35.18 (define @t130 () (tptp.addition @t90 @t89)) % 34.94/35.18 (define @t131 () (tptp.multiplication @t63 @t123)) % 34.94/35.18 (define @t132 () (= @t131 @t130)) % 34.94/35.18 (define @t133 () (= tptp.zero (tptp.multiplication @t54 @t66))) % 34.94/35.18 (define @t134 () (tptp.multiplication @t72 @t73)) % 34.94/35.18 (define @t135 () (= tptp.zero @t134)) % 34.94/35.18 (define @t136 () (tptp.multiplication @t73 @t74)) % 34.94/35.18 (define @t137 () (= tptp.zero @t136)) % 34.94/35.18 (define @t138 () (tptp.addition @t88 @t86)) % 34.94/35.18 (define @t139 () (= @t86 @t138)) % 34.94/35.18 (define @t140 () (tptp.addition @t67 @t66)) % 34.94/35.18 (define @t141 () (= tptp.one @t140)) % 34.94/35.18 (define @t142 () (tptp.addition @t91 @t67)) % 34.94/35.18 (define @t143 () (= tptp.one @t142)) % 34.94/35.18 (define @t144 () (= tptp.one @t111)) % 34.94/35.18 (define @t145 () (tptp.codomain @t66)) % 34.94/35.18 (define @t146 () (= @t91 @t145)) % 34.94/35.18 (define @t147 () (tptp.multiplication tptp.one @t66)) % 34.94/35.18 (define @t148 () (= @t66 @t147)) % 34.94/35.18 (define @t149 () (tptp.multiplication tptp.one @t57)) % 34.94/35.18 (define @t150 () (= @t57 @t149)) % 34.94/35.18 (define @t151 () (= @t57 (tptp.multiplication @t57 tptp.one))) % 34.94/35.18 (define @t152 () (tptp.multiplication @t83 tptp.one)) % 34.94/35.18 (define @t153 () (= @t83 @t152)) % 34.94/35.18 (define @t154 () (tptp.addition @t54 @t54)) % 34.94/35.18 (define @t155 () (= @t54 @t154)) % 34.94/35.18 (define @t156 () (tptp.multiplication @t83 @t57)) % 34.94/35.18 (define @t157 () (tptp.multiplication @t83 @t56)) % 34.94/35.18 (define @t158 () (tptp.addition @t157 @t156)) % 34.94/35.18 (define @t159 () (= (tptp.multiplication @t83 @t126) @t158)) % 34.94/35.18 (define @t160 () (= tptp.zero (tptp.multiplication tptp.zero @t57))) % 34.94/35.18 (define @t161 () (tptp.multiplication @t57 @t111)) % 34.94/35.18 (define @t162 () (= @t161 (tptp.addition @t105 (tptp.multiplication @t57 @t73)))) % 34.94/35.18 (define @t163 () (tptp.multiplication @t73 @t112)) % 34.94/35.18 (define @t164 () (= @t163 (tptp.addition @t93 (tptp.multiplication @t73 @t55)))) % 34.94/35.18 (define @t165 () (tptp.multiplication @t72 @t138)) % 34.94/35.18 (define @t166 () (= @t165 (tptp.addition @t94 (tptp.multiplication @t72 @t86)))) % 34.94/35.18 (define @t167 () (= @t130 (tptp.addition @t89 @t90))) % 34.94/35.18 (define @t168 () (tptp.addition @t67 @t91)) % 34.94/35.18 (define @t169 () (= @t142 @t168)) % 34.94/35.18 (define @t170 () (tptp.addition @t111 @t57)) % 34.94/35.18 (define @t171 () (= (tptp.addition @t74 (tptp.addition @t73 @t57)) @t170)) % 34.94/35.18 (define @t172 () (tptp.addition @t54 @t73)) % 34.94/35.18 (define @t173 () (tptp.addition @t55 @t172)) % 34.94/35.18 (define @t174 () (= @t173 (tptp.addition @t113 @t73))) % 34.94/35.18 (define @t175 () (tptp.multiplication @t136 @t57)) % 34.94/35.18 (define @t176 () (= (tptp.multiplication @t73 @t104) @t175)) % 34.94/35.18 (define @t177 () (tptp.addition @t93 tptp.zero)) % 34.94/35.18 (define @t178 () (= @t93 @t177)) % 34.94/35.18 (define @t179 () (tptp.addition @t94 tptp.zero)) % 34.94/35.18 (define @t180 () (= @t94 @t179)) % 34.94/35.18 (define @t181 () (= @t95 (tptp.addition @t95 tptp.zero))) % 34.94/35.18 (define @t182 () (= @t73 (tptp.multiplication @t73 tptp.one))) % 34.94/35.18 (define @t183 () (= @t74 @t95)) % 34.94/35.18 (define @t184 () (tptp.addition @t73 @t54)) % 34.94/35.18 (define @t185 () (= @t172 @t184)) % 34.94/35.18 (define @t186 () (tptp.multiplication @t91 @t74)) % 34.94/35.18 (define @t187 () (tptp.multiplication @t67 @t74)) % 34.94/35.18 (define @t188 () (tptp.addition @t187 @t186)) % 34.94/35.18 (define @t189 () (= (tptp.multiplication @t168 @t74) @t188)) % 34.94/35.18 (define @t190 () (tptp.multiplication @t63 @t111)) % 34.94/35.18 (define @t191 () (= @t190 (tptp.addition (tptp.multiplication @t63 @t74) (tptp.multiplication @t63 @t73)))) % 34.94/35.18 (define @t192 () (tptp.multiplication (tptp.antidomain @t90) @t90)) % 34.94/35.18 (define @t193 () (= tptp.zero @t192)) % 34.94/35.18 (define @t194 () (tptp.multiplication tptp.one @t97)) % 34.94/35.18 (define @t195 () (= tptp.zero @t194)) % 34.94/35.18 (define @t196 () (= tptp.one (tptp.addition @t103 @t97))) % 34.94/35.18 (define @t197 () (= @t97 @t194)) % 34.94/35.18 (define @t198 () (tptp.multiplication @t73 @t57)) % 34.94/35.18 (define @t199 () (tptp.addition @t104 @t198)) % 34.94/35.18 (define @t200 () (= (tptp.multiplication @t111 @t57) @t199)) % 34.94/35.18 (define @t201 () (tptp.multiplication @t123 @t56)) % 34.94/35.18 (define @t202 () (= @t201 (tptp.addition (tptp.multiplication @t79 @t56) @t119))) % 34.94/35.18 (define @t203 () (= @t56 (tptp.multiplication tptp.one @t56))) % 34.94/35.18 (define @t204 () (tptp.addition @t101 @t99)) % 34.94/35.18 (define @t205 () (= @t99 @t204)) % 34.94/35.18 (define @t206 () (tptp.multiplication @t98 @t99)) % 34.94/35.18 (define @t207 () (= tptp.zero @t206)) % 34.94/35.18 (define @t208 () (tptp.addition @t102 @t206)) % 34.94/35.18 (define @t209 () (= (tptp.multiplication @t98 @t204) @t208)) % 34.94/35.18 (define @t210 () (tptp.multiplication @t73 @t66)) % 34.94/35.18 (define @t211 () (tptp.multiplication @t73 @t140)) % 34.94/35.18 (define @t212 () (= @t211 (tptp.addition (tptp.multiplication @t73 @t67) @t210))) % 34.94/35.18 (define @t213 () (tptp.multiplication @t74 @t66)) % 34.94/35.18 (define @t214 () (tptp.addition @t213 @t210)) % 34.94/35.18 (define @t215 () (= (tptp.multiplication @t111 @t66) @t214)) % 34.94/35.18 (define @t216 () (tptp.addition @t57 @t121)) % 34.94/35.18 (define @t217 () (= @t216 (tptp.addition (tptp.addition @t57 @t57) @t56))) % 34.94/35.18 (define @t218 () (tptp.addition @t57 @t74)) % 34.94/35.18 (define @t219 () (tptp.addition @t218 @t73)) % 34.94/35.18 (define @t220 () (= (tptp.addition @t57 @t111) @t219)) % 34.94/35.18 (define @t221 () (= @t102 (tptp.addition @t102 tptp.zero))) % 34.94/35.18 (define @t222 () (tptp.addition @t103 tptp.zero)) % 34.94/35.18 (define @t223 () (= @t103 @t222)) % 34.94/35.18 (define @t224 () (tptp.addition @t104 tptp.zero)) % 34.94/35.18 (define @t225 () (= @t104 @t224)) % 34.94/35.18 (define @t226 () (tptp.addition @t105 tptp.zero)) % 34.94/35.18 (define @t227 () (= @t105 @t226)) % 34.94/35.18 (define @t228 () (tptp.multiplication @t111 @t74)) % 34.94/35.18 (define @t229 () (tptp.addition @t228 @t105)) % 34.94/35.18 (define @t230 () (= (tptp.multiplication @t170 @t74) @t229)) % 34.94/35.18 (define @t231 () (tptp.multiplication @t145 @t74)) % 34.94/35.18 (define @t232 () (tptp.multiplication @t57 @t66)) % 34.94/35.18 (define @t233 () (tptp.addition @t74 @t57)) % 34.94/35.18 (define @t234 () (tptp.multiplication @t67 @t73)) % 34.94/35.18 (define @t235 () (tptp.multiplication @t73 @t89)) % 34.94/35.18 (define @t236 () (= @t54 @t113)) % 34.94/35.18 (define @t237 () (and @t114 @t61 @t115 @t116 @t118 @t120 @t122 @t124 @t125 @t70 @t78 @t127 @t129 @t132 @t133 @t135 @t137 @t139 @t141 @t143 @t144 @t146 @t148 @t150 @t151 @t153 @t155 @t159 @t160 @t162 @t164 @t166 @t167 @t169 @t171 @t174 @t176 @t178 @t180 @t181 @t182 @t183 @t185 @t189 @t191 @t193 @t195 @t196 @t197 @t200 @t202 @t203 @t205 @t207 @t209 @t212 @t215 @t217 @t220 @t221 @t223 @t225 @t227 @t110 @t230)) % 34.94/35.18 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 34.94/35.18 (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 34.94/35.18 (assume @p3 @t9) % 34.94/35.18 (assume @p4 @t11) % 34.94/35.18 (assume @p5 @t15) % 34.94/35.18 (assume @p6 @t17) % 34.94/35.18 (assume @p7 @t19) % 34.94/35.18 (assume @p8 (forall @t14 (= (tptp.multiplication @t1 @t6) (tptp.addition @t12 @t20)))) % 34.94/35.18 (assume @p9 (forall @t14 (= (tptp.multiplication @t3 @t5) (tptp.addition @t20 @t13)))) % 34.94/35.18 (assume @p10 (forall @t8 (= (tptp.multiplication @t1 tptp.zero) tptp.zero))) % 34.94/35.18 (assume @p11 @t22) % 34.94/35.18 (assume @p12 (forall @t4 (= (tptp.leq @t1 @t2) (= @t3 @t2)))) % 34.94/35.18 (assume @p13 @t27) % 34.94/35.18 (assume @p14 (forall @t32 (= (tptp.addition (tptp.antidomain @t31) @t30) @t30))) % 34.94/35.18 (assume @p15 @t35) % 34.94/35.18 (assume @p16 @t37) % 34.94/35.18 (assume @p17 @t40) % 34.94/35.18 (assume @p18 @t44) % 34.94/35.18 (assume @p19 @t46) % 34.94/35.18 (assume @p20 @t48) % 34.94/35.18 (assume @p21 (forall @t26 (= (tptp.c @t23) (tptp.antidomain @t36)))) % 34.94/35.18 (assume @p22 (forall @t32 (= (tptp.domain_difference @t23 @t28) (tptp.multiplication @t36 @t29)))) % 34.94/35.18 (assume @p23 (forall @t32 (= (tptp.forward_diamond @t23 @t28) (tptp.domain (tptp.multiplication @t23 (tptp.domain @t28)))))) % 34.94/35.18 (assume @p24 (forall @t32 (= (tptp.backward_diamond @t23 @t28) (tptp.codomain (tptp.multiplication (tptp.codomain @t28) @t23))))) % 34.94/35.18 (assume @p25 (forall @t32 (= (tptp.forward_box @t23 @t28) (tptp.c (tptp.forward_diamond @t23 @t49))))) % 34.94/35.18 (assume @p26 (forall @t32 (= (tptp.backward_box @t23 @t28) (tptp.c (tptp.backward_diamond @t23 @t49))))) % 34.94/35.18 (assume @p27 @t52) % 34.94/35.18 (assume @p28 true) % 34.94/35.18 (step @p29 :rule eq-symm :args (@t50 @t36)) % 34.94/35.18 (step @p30 :rule cong :premises (@p29) :args (@t51)) % 34.94/35.18 (step @p31 :rule cong :premises (@p30) :args (@t52)) % 34.94/35.18 (step @p32 :rule eq_resolve :premises (@p27 @p31)) % 34.94/35.18 (step @p33 :rule skolemize :premises (@p32)) % 34.94/35.18 (step @p34 :rule instantiate :premises (@p1) :args ((@list @t55 @t54))) % 34.94/35.18 (step @p35 :rule eq-symm :args (@t36 @t33)) % 34.94/35.18 (step @p36 :rule cong :premises (@p35) :args (@t37)) % 34.94/35.18 (step @p37 :rule eq_resolve :premises (@p16 @p36)) % 34.94/35.18 (step @p38 :rule eq-symm :args (@t57 @t54)) % 34.94/35.18 (step @p39 :rule refl :args (@t58)) % 34.94/35.18 (step @p40 :rule cong :premises (@p39 @p38) :args ((=> @t58 @t59))) % 34.94/35.18 (assume-push @p507 @t58) % 34.94/35.18 (step @p42 :rule instantiate :premises (@p37) :args (@t60)) % 34.94/35.18 (step-pop @p508 :rule scope :premises (@p42)) % 34.94/35.18 (step @p43 :rule process_scope :premises (@p508) :args (@t59)) % 34.94/35.18 (step @p45 :rule eq_resolve :premises (@p43 @p40)) % 34.94/35.18 (step @p46 :rule implies_elim :premises (@p45)) % 34.94/35.18 (step @p47 :rule chain_m_resolution :premises (@p46 @p37) :args (@t61 @t62 (@list @t58))) % 34.94/35.18 (step @p48 :rule instantiate :premises (@p24) :args ((@list tptp.one @t54))) % 34.94/35.18 (step @p49 :rule eq-symm :args (@t16 @t1)) % 34.94/35.18 (step @p50 :rule cong :premises (@p49) :args (@t17)) % 34.94/35.18 (step @p51 :rule eq_resolve :premises (@p6 @p50)) % 34.94/35.18 (step @p52 :rule instantiate :premises (@p51) :args ((@list @t63))) % 34.94/35.18 (step @p53 :rule eq-symm :args (@t25 tptp.zero)) % 34.94/35.18 (step @p54 :rule cong :premises (@p53) :args (@t27)) % 34.94/35.18 (step @p55 :rule eq_resolve :premises (@p13 @p54)) % 34.94/35.18 (step @p56 :rule instantiate :premises (@p55) :args (@t64)) % 34.94/35.18 (step @p57 :rule instantiate :premises (@p55) :args (@t65)) % 34.94/35.18 (step @p58 :rule eq-symm :args (@t34 tptp.one)) % 34.94/35.18 (step @p59 :rule cong :premises (@p58) :args (@t35)) % 34.94/35.18 (step @p60 :rule eq_resolve :premises (@p15 @p59)) % 34.94/35.18 (step @p61 :rule instantiate :premises (@p60) :args (@t60)) % 34.94/35.18 (step @p62 :rule instantiate :premises (@p60) :args (@t65)) % 34.94/35.18 (step @p63 :rule instantiate :premises (@p37) :args (@t65)) % 34.94/35.18 (step @p64 :rule eq-symm :args (@t47 @t41)) % 34.94/35.18 (step @p65 :rule cong :premises (@p64) :args (@t48)) % 34.94/35.18 (step @p66 :rule eq_resolve :premises (@p20 @p65)) % 34.94/35.18 (step @p67 :rule eq-symm :args (@t67 @t63)) % 34.94/35.18 (step @p68 :rule refl :args (@t68)) % 34.94/35.18 (step @p69 :rule cong :premises (@p68 @p67) :args ((=> @t68 @t69))) % 34.94/35.18 (assume-push @p509 @t68) % 34.94/35.18 (step @p71 :rule instantiate :premises (@p66) :args (@t64)) % 34.94/35.18 (step-pop @p510 :rule scope :premises (@p71)) % 34.94/35.18 (step @p72 :rule process_scope :premises (@p510) :args (@t69)) % 34.94/35.18 (step @p74 :rule eq_resolve :premises (@p72 @p69)) % 34.94/35.18 (step @p75 :rule implies_elim :premises (@p74)) % 34.94/35.18 (step @p76 :rule chain_m_resolution :premises (@p75 @p66) :args (@t70 @t62 @t71)) % 34.94/35.18 (step @p77 :rule eq-symm :args (@t74 @t75)) % 34.94/35.18 (step @p78 :rule cong :premises (@p68 @p77) :args ((=> @t68 @t76))) % 34.94/35.18 (assume-push @p511 @t68) % 34.94/35.18 (step @p80 :rule instantiate :premises (@p66) :args (@t77)) % 34.94/35.18 (step-pop @p512 :rule scope :premises (@p80)) % 34.94/35.18 (step @p81 :rule process_scope :premises (@p512) :args (@t76)) % 34.94/35.18 (step @p83 :rule eq_resolve :premises (@p81 @p78)) % 34.94/35.18 (step @p84 :rule implies_elim :premises (@p83)) % 34.94/35.18 (step @p85 :rule chain_m_resolution :premises (@p84 @p66) :args (@t78 @t62 @t71)) % 34.94/35.18 (step @p86 :rule instantiate :premises (@p1) :args ((@list @t57 @t56))) % 34.94/35.18 (step @p87 :rule instantiate :premises (@p1) :args ((@list @t79 @t57))) % 34.94/35.18 (step @p88 :rule instantiate :premises (@p8) :args ((@list @t63 @t79 @t57))) % 34.94/35.18 (step @p89 :rule eq-symm :args (@t39 tptp.zero)) % 34.94/35.18 (step @p90 :rule cong :premises (@p89) :args (@t40)) % 34.94/35.18 (step @p91 :rule eq_resolve :premises (@p17 @p90)) % 34.94/35.18 (step @p92 :rule instantiate :premises (@p91) :args (@t64)) % 34.94/35.18 (step @p93 :rule instantiate :premises (@p91) :args (@t77)) % 34.94/35.18 (step @p94 :rule instantiate :premises (@p91) :args (@t80)) % 34.94/35.18 (step @p95 :rule eq-symm :args (@t43 @t42)) % 34.94/35.18 (step @p96 :rule cong :premises (@p95) :args (@t44)) % 34.94/35.18 (step @p97 :rule eq_resolve :premises (@p18 @p96)) % 34.94/35.18 (step @p98 :rule instantiate :premises (@p97) :args ((@list @t54 tptp.one))) % 34.94/35.18 (step @p99 :rule eq-symm :args (@t45 tptp.one)) % 34.94/35.18 (step @p100 :rule cong :premises (@p99) :args (@t46)) % 34.94/35.18 (step @p101 :rule eq_resolve :premises (@p19 @p100)) % 34.94/35.18 (step @p102 :rule instantiate :premises (@p101) :args (@t64)) % 34.94/35.18 (step @p103 :rule instantiate :premises (@p101) :args (@t81)) % 34.94/35.18 (step @p104 :rule instantiate :premises (@p101) :args (@t77)) % 34.94/35.18 (step @p105 :rule instantiate :premises (@p66) :args (@t81)) % 34.94/35.18 (step @p106 :rule eq-symm :args (@t18 @t1)) % 34.94/35.18 (step @p107 :rule cong :premises (@p106) :args (@t19)) % 34.94/35.18 (step @p108 :rule eq_resolve :premises (@p7 @p107)) % 34.94/35.18 (step @p109 :rule instantiate :premises (@p108) :args (@t81)) % 34.94/35.18 (step @p110 :rule instantiate :premises (@p108) :args (@t82)) % 34.94/35.18 (step @p111 :rule instantiate :premises (@p51) :args (@t82)) % 34.94/35.18 (step @p112 :rule instantiate :premises (@p51) :args ((@list @t83))) % 34.94/35.18 (step @p113 :rule eq-symm :args (@t10 @t1)) % 34.94/35.18 (step @p114 :rule cong :premises (@p113) :args (@t11)) % 34.94/35.18 (step @p115 :rule eq_resolve :premises (@p4 @p114)) % 34.94/35.18 (step @p116 :rule instantiate :premises (@p115) :args (@t64)) % 34.94/35.18 (step @p117 :rule instantiate :premises (@p8) :args ((@list @t83 @t56 @t57))) % 34.94/35.18 (step @p118 :rule eq-symm :args (@t21 tptp.zero)) % 34.94/35.18 (step @p119 :rule cong :premises (@p118) :args (@t22)) % 34.94/35.18 (step @p120 :rule eq_resolve :premises (@p11 @p119)) % 34.94/35.18 (step @p121 :rule instantiate :premises (@p120) :args (@t82)) % 34.94/35.18 (step @p122 :rule instantiate :premises (@p8) :args ((@list @t57 @t74 @t73))) % 34.94/35.18 (step @p123 :rule instantiate :premises (@p8) :args (@t84)) % 34.94/35.18 (step @p124 :rule instantiate :premises (@p8) :args ((@list @t72 @t88 @t86))) % 34.94/35.18 (step @p125 :rule instantiate :premises (@p1) :args ((@list @t90 @t89))) % 34.94/35.18 (step @p126 :rule instantiate :premises (@p1) :args ((@list @t91 @t67))) % 34.94/35.18 (step @p127 :rule instantiate :premises (@p2) :args ((@list @t57 @t73 @t74))) % 34.94/35.18 (step @p128 :rule instantiate :premises (@p2) :args (@t84)) % 34.94/35.18 (step @p129 :rule instantiate :premises (@p5) :args (@t92)) % 34.94/35.18 (step @p130 :rule eq-symm :args (@t7 @t1)) % 34.94/35.18 (step @p131 :rule cong :premises (@p130) :args (@t9)) % 34.94/35.18 (step @p132 :rule eq_resolve :premises (@p3 @p131)) % 34.94/35.18 (step @p133 :rule instantiate :premises (@p132) :args ((@list @t93))) % 34.94/35.18 (step @p134 :rule instantiate :premises (@p132) :args ((@list @t94))) % 34.94/35.18 (step @p135 :rule instantiate :premises (@p132) :args ((@list @t95))) % 34.94/35.18 (step @p136 :rule instantiate :premises (@p51) :args (@t80)) % 34.94/35.18 (step @p137 :rule instantiate :premises (@p108) :args ((@list @t74))) % 34.94/35.18 (step @p138 :rule instantiate :premises (@p1) :args ((@list @t54 @t73))) % 34.94/35.18 (step @p139 :rule instantiate :premises (@p9) :args ((@list @t67 @t91 @t74))) % 34.94/35.18 (step @p140 :rule instantiate :premises (@p8) :args ((@list @t63 @t74 @t73))) % 34.94/35.18 (step @p141 :rule instantiate :premises (@p55) :args ((@list @t90))) % 34.94/35.18 (step @p142 :rule instantiate :premises (@p91) :args (@t96)) % 34.94/35.18 (step @p143 :rule instantiate :premises (@p101) :args (@t96)) % 34.94/35.18 (step @p144 :rule instantiate :premises (@p108) :args ((@list @t97))) % 34.94/35.18 (step @p145 :rule instantiate :premises (@p9) :args ((@list @t74 @t73 @t57))) % 34.94/35.18 (step @p146 :rule instantiate :premises (@p9) :args ((@list @t79 @t57 @t56))) % 34.94/35.18 (step @p147 :rule instantiate :premises (@p108) :args (@t65)) % 34.94/35.18 (step @p148 :rule instantiate :premises (@p97) :args ((@list @t54 @t79))) % 34.94/35.18 (step @p149 :rule instantiate :premises (@p91) :args ((@list @t98))) % 34.94/35.18 (step @p150 :rule instantiate :premises (@p8) :args ((@list @t98 @t101 @t99))) % 34.94/35.18 (step @p151 :rule instantiate :premises (@p8) :args ((@list @t73 @t67 @t66))) % 34.94/35.18 (step @p152 :rule instantiate :premises (@p9) :args ((@list @t74 @t73 @t66))) % 34.94/35.18 (step @p153 :rule instantiate :premises (@p2) :args ((@list @t56 @t57 @t57))) % 34.94/35.18 (step @p154 :rule instantiate :premises (@p2) :args (@t92)) % 34.94/35.18 (step @p155 :rule instantiate :premises (@p132) :args ((@list @t102))) % 34.94/35.18 (step @p156 :rule instantiate :premises (@p132) :args ((@list @t103))) % 34.94/35.18 (step @p157 :rule instantiate :premises (@p132) :args ((@list @t104))) % 34.94/35.18 (step @p158 :rule instantiate :premises (@p132) :args ((@list @t105))) % 34.94/35.18 (step @p159 :rule eq-symm :args (@t107 @t108)) % 34.94/35.18 (step @p160 :rule refl :args (@t15)) % 34.94/35.18 (step @p161 :rule cong :premises (@p160 @p159) :args ((=> @t15 @t109))) % 34.94/35.18 (assume-push @p513 @t15) % 34.94/35.18 (step @p163 :rule instantiate :premises (@p5) :args ((@list @t63 @t79 tptp.one))) % 34.94/35.18 (step-pop @p514 :rule scope :premises (@p163)) % 34.94/35.18 (step @p164 :rule process_scope :premises (@p514) :args (@t109)) % 34.94/35.18 (step @p166 :rule eq_resolve :premises (@p164 @p161)) % 34.94/35.18 (step @p167 :rule implies_elim :premises (@p166)) % 34.94/35.18 (step @p168 :rule chain_m_resolution :premises (@p167 @p5) :args (@t110 @t62 (@list @t15))) % 34.94/35.18 (step @p169 :rule instantiate :premises (@p9) :args ((@list @t111 @t57 @t74))) % 34.94/35.18 (assume-push @p515 @t114) % 34.94/35.18 (assume-push @p516 @t61) % 34.94/35.18 (assume-push @p517 @t115) % 34.94/35.18 (assume-push @p518 @t116) % 34.94/35.18 (assume-push @p519 @t118) % 34.94/35.18 (assume-push @p520 @t120) % 34.94/35.18 (assume-push @p521 @t122) % 34.94/35.18 (assume-push @p522 @t124) % 34.94/35.18 (assume-push @p523 @t125) % 34.94/35.18 (assume-push @p524 @t70) % 34.94/35.18 (assume-push @p525 @t78) % 34.94/35.18 (assume-push @p526 @t127) % 34.94/35.18 (assume-push @p527 @t129) % 34.94/35.18 (assume-push @p528 @t132) % 34.94/35.18 (assume-push @p529 @t133) % 34.94/35.18 (assume-push @p530 @t135) % 34.94/35.18 (assume-push @p531 @t137) % 34.94/35.18 (assume-push @p532 @t139) % 34.94/35.18 (assume-push @p533 @t141) % 34.94/35.18 (assume-push @p534 @t143) % 34.94/35.18 (assume-push @p535 @t144) % 34.94/35.18 (assume-push @p536 @t146) % 34.94/35.18 (assume-push @p537 @t148) % 34.94/35.18 (assume-push @p538 @t150) % 34.94/35.18 (assume-push @p539 @t151) % 34.94/35.18 (assume-push @p540 @t153) % 34.94/35.18 (assume-push @p541 @t155) % 34.94/35.18 (assume-push @p542 @t159) % 34.94/35.18 (assume-push @p543 @t160) % 34.94/35.18 (assume-push @p544 @t162) % 34.94/35.18 (assume-push @p545 @t164) % 34.94/35.18 (assume-push @p546 @t166) % 34.94/35.18 (assume-push @p547 @t167) % 34.94/35.18 (assume-push @p548 @t169) % 34.94/35.18 (assume-push @p549 @t171) % 34.94/35.18 (assume-push @p550 @t174) % 34.94/35.18 (assume-push @p551 @t176) % 34.94/35.18 (assume-push @p552 @t178) % 34.94/35.18 (assume-push @p553 @t180) % 34.94/35.18 (assume-push @p554 @t181) % 34.94/35.18 (assume-push @p555 @t182) % 34.94/35.18 (assume-push @p556 @t183) % 34.94/35.18 (assume-push @p557 @t185) % 34.94/35.18 (assume-push @p558 @t189) % 34.94/35.18 (assume-push @p559 @t191) % 34.94/35.18 (assume-push @p560 @t193) % 34.94/35.18 (assume-push @p561 @t195) % 34.94/35.18 (assume-push @p562 @t196) % 34.94/35.18 (assume-push @p563 @t197) % 34.94/35.18 (assume-push @p564 @t200) % 34.94/35.18 (assume-push @p565 @t202) % 34.94/35.18 (assume-push @p566 @t203) % 34.94/35.18 (assume-push @p567 @t205) % 34.94/35.18 (assume-push @p568 @t207) % 34.94/35.18 (assume-push @p569 @t209) % 34.94/35.18 (assume-push @p570 @t212) % 34.94/35.18 (assume-push @p571 @t215) % 34.94/35.18 (assume-push @p572 @t217) % 34.94/35.18 (assume-push @p573 @t220) % 34.94/35.18 (assume-push @p574 @t221) % 34.94/35.18 (assume-push @p575 @t223) % 34.94/35.18 (assume-push @p576 @t225) % 34.94/35.18 (assume-push @p577 @t227) % 34.94/35.18 (assume-push @p578 @t110) % 34.94/35.18 (assume-push @p579 @t230) % 34.94/35.18 (step @p42 :rule instantiate :premises (@p37) :args (@t60)) % 34.94/35.18 (step @p235 :rule symm :premises (@p111)) % 34.94/35.18 (step @p236 :rule refl :args (tptp.one)) % 34.94/35.18 (step @p237 :rule cong :premises (@p47 @p236) :args (@t87)) % 34.94/35.18 (step @p238 :rule symm :premises (@p104)) % 34.94/35.18 (step @p239 :rule cong :premises (@p42 @p238) :args (@t161)) % 34.94/35.18 (step @p240 :rule symm :premises (@p122)) % 34.94/35.18 (step @p241 :rule refl :args (@t73)) % 34.94/35.18 (step @p242 :rule cong :premises (@p47 @p241) :args ((tptp.multiplication @t54 @t73))) % 34.94/35.18 (step @p243 :rule symm :premises (@p136)) % 34.94/35.18 (step @p244 :rule symm :premises (@p102)) % 34.94/35.18 (step @p245 :rule cong :premises (@p241 @p244) :args (@t211)) % 34.94/35.18 (step @p246 :rule symm :premises (@p151)) % 34.94/35.18 (step @p247 :rule refl :args (@t210)) % 34.94/35.18 (step @p248 :rule symm :premises (@p52)) % 34.94/35.18 (step @p249 :rule cong :premises (@p248 @p236) :args ((tptp.multiplication @t72 tptp.one))) % 34.94/35.18 (step @p250 :rule cong :premises (@p52 @p238) :args (@t190)) % 34.94/35.18 (step @p251 :rule symm :premises (@p140)) % 34.94/35.18 (step @p252 :rule cong :premises (@p248 @p241) :args (@t134)) % 34.94/35.18 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:rule cnf_and_neg :args (@t237)) % 34.94/35.18 (step @p504 :rule resolution :premises (@p503 @p502) :args (true @t237)) % 34.94/35.18 (step @p505 :rule reordering :premises (@p504) :args ((or @t236 (not @t114) (not @t61) (not @t115) (not @t116) (not @t118) (not @t120) (not @t122) (not @t124) (not @t125) (not @t70) (not @t78) (not @t127) (not @t129) (not @t132) (not @t133) (not @t135) (not @t137) (not @t139) (not @t141) (not @t143) (not @t144) (not @t146) (not @t148) (not @t150) (not @t151) (not @t153) (not @t155) (not @t159) (not @t160) (not @t162) (not @t164) (not @t166) (not @t167) (not @t169) (not @t171) (not @t174) (not @t176) (not @t178) (not @t180) (not @t181) (not @t182) (not @t183) (not @t185) (not @t189) (not @t191) (not @t193) (not @t195) (not @t196) (not @t197) (not @t200) (not @t202) (not @t203) (not @t205) (not @t207) (not @t209) (not @t212) (not @t215) (not @t217) (not @t220) (not @t221) (not @t223) (not @t225) (not @t227) (not @t110) (not @t230)))) % 34.94/35.18 (step @p506 false :rule chain_m_resolution :premises (@p505 @p169 @p168 @p158 @p157 @p156 @p155 @p154 @p153 @p152 @p151 @p150 @p149 @p148 @p147 @p146 @p145 @p144 @p143 @p142 @p141 @p140 @p139 @p138 @p137 @p136 @p135 @p134 @p133 @p129 @p128 @p127 @p126 @p125 @p124 @p123 @p122 @p121 @p117 @p116 @p112 @p111 @p110 @p109 @p105 @p104 @p103 @p102 @p98 @p94 @p93 @p92 @p88 @p87 @p86 @p85 @p76 @p63 @p62 @p61 @p57 @p56 @p52 @p48 @p47 @p34 @p33) :args (false (@list false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false true) (@list @t230 @t110 @t227 @t225 @t223 @t221 @t220 @t217 @t215 @t212 @t209 @t207 @t205 @t203 @t202 @t200 @t197 @t196 @t195 @t193 @t191 @t189 @t185 @t183 @t182 @t181 @t180 @t178 @t176 @t174 @t171 @t169 @t167 @t166 @t164 @t162 @t160 @t159 @t155 @t153 @t151 @t150 @t148 @t146 @t144 @t143 @t141 @t139 @t137 @t135 @t133 @t132 @t129 @t127 @t78 @t70 @t125 @t124 @t122 @t120 @t118 @t116 @t115 @t61 @t114 @t236))) % 34.94/35.18 ) % 34.94/35.18 % SZS output end Proof % 34.94/35.18 % cvc5 exiting %------------------------------------------------------------------------------