%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE135+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 : n027.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 08:28:21 AM UTC 2026 % Result : Theorem 3.43s 3.68s % Output : Proof 3.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE135+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 % 0.18/0.34 % Computer : n027.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 05:19:06 EDT 2026 % 0.18/0.35 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 3.43/3.68 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 3.43/3.68 % SZS status Theorem % 3.43/3.68 % SZS output start Proof % 3.43/3.68 ( % 3.43/3.68 (declare-sort $$unsorted 0) % 3.43/3.68 (declare-const tptp.divergence (-> $$unsorted $$unsorted)) % 3.43/3.68 (declare-const tptp.backward_box (-> $$unsorted $$unsorted $$unsorted)) % 3.43/3.68 (declare-const tptp.forward_box (-> $$unsorted $$unsorted $$unsorted)) % 3.43/3.68 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 3.43/3.68 (declare-const tptp.backward_diamond (-> $$unsorted $$unsorted $$unsorted)) % 3.43/3.68 (declare-const tptp.zero $$unsorted) % 3.43/3.68 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 3.43/3.68 (declare-const tptp.codomain (-> $$unsorted $$unsorted)) % 3.43/3.68 (declare-const tptp.star (-> $$unsorted $$unsorted)) % 3.43/3.68 (declare-const tptp.one $$unsorted) % 3.43/3.68 (declare-const tptp.antidomain (-> $$unsorted $$unsorted)) % 3.43/3.68 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 3.43/3.68 (declare-const tptp.c (-> $$unsorted $$unsorted)) % 3.43/3.68 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 3.43/3.68 (declare-const tptp.domain_difference (-> $$unsorted $$unsorted $$unsorted)) % 3.43/3.68 (declare-const tptp.coantidomain (-> $$unsorted $$unsorted)) % 3.43/3.68 (declare-const tptp.forward_diamond (-> $$unsorted $$unsorted $$unsorted)) % 3.43/3.68 (define @t1 () (@var "A" $$unsorted)) % 3.43/3.68 (define @t2 () (@var "B" $$unsorted)) % 3.43/3.68 (define @t3 () (tptp.addition @t1 @t2)) % 3.43/3.68 (define @t4 () (@list @t1 @t2)) % 3.43/3.68 (define @t5 () (@var "C" $$unsorted)) % 3.43/3.68 (define @t6 () (tptp.addition @t2 @t5)) % 3.43/3.68 (define @t7 () (tptp.addition @t1 tptp.zero)) % 3.43/3.68 (define @t8 () (@list @t1)) % 3.43/3.68 (define @t9 () (forall @t8 (= @t7 @t1))) % 3.43/3.68 (define @t10 () (tptp.multiplication @t1 @t2)) % 3.43/3.68 (define @t11 () (tptp.multiplication @t2 @t5)) % 3.43/3.68 (define @t12 () (@list @t1 @t2 @t5)) % 3.43/3.68 (define @t13 () (tptp.multiplication @t1 tptp.one)) % 3.43/3.68 (define @t14 () (forall @t8 (= @t13 @t1))) % 3.43/3.68 (define @t15 () (tptp.multiplication tptp.one @t1)) % 3.43/3.68 (define @t16 () (forall @t8 (= @t15 @t1))) % 3.43/3.68 (define @t17 () (tptp.multiplication @t1 @t5)) % 3.43/3.68 (define @t18 () (tptp.multiplication @t1 tptp.zero)) % 3.43/3.68 (define @t19 () (forall @t8 (= @t18 tptp.zero))) % 3.43/3.68 (define @t20 () (tptp.multiplication tptp.zero @t1)) % 3.43/3.68 (define @t21 () (forall @t8 (= @t20 tptp.zero))) % 3.43/3.68 (define @t22 () (@var "X0" $$unsorted)) % 3.43/3.68 (define @t23 () (tptp.antidomain @t22)) % 3.43/3.68 (define @t24 () (tptp.multiplication @t23 @t22)) % 3.43/3.68 (define @t25 () (@list @t22)) % 3.43/3.68 (define @t26 () (forall @t25 (= @t24 tptp.zero))) % 3.43/3.68 (define @t27 () (@var "X1" $$unsorted)) % 3.43/3.68 (define @t28 () (tptp.antidomain @t27)) % 3.43/3.68 (define @t29 () (tptp.antidomain (tptp.multiplication @t22 (tptp.antidomain @t28)))) % 3.43/3.68 (define @t30 () (tptp.multiplication @t22 @t27)) % 3.43/3.68 (define @t31 () (tptp.addition (tptp.antidomain @t30) @t29)) % 3.43/3.68 (define @t32 () (@list @t22 @t27)) % 3.43/3.68 (define @t33 () (forall @t32 (= @t31 @t29))) % 3.43/3.68 (define @t34 () (tptp.antidomain @t23)) % 3.43/3.68 (define @t35 () (tptp.addition @t34 @t23)) % 3.43/3.68 (define @t36 () (forall @t25 (= @t35 tptp.one))) % 3.43/3.68 (define @t37 () (tptp.domain @t22)) % 3.43/3.68 (define @t38 () (forall @t25 (= @t37 @t34))) % 3.43/3.68 (define @t39 () (tptp.coantidomain @t22)) % 3.43/3.68 (define @t40 () (tptp.coantidomain @t39)) % 3.43/3.68 (define @t41 () (tptp.coantidomain (tptp.multiplication @t40 @t27))) % 3.43/3.68 (define @t42 () (tptp.c @t27)) % 3.43/3.68 (define @t43 () (tptp.divergence @t22)) % 3.43/3.68 (define @t44 () (tptp.forward_diamond @t22 @t43)) % 3.43/3.68 (define @t45 () (forall @t25 (= @t44 @t43))) % 3.43/3.68 (define @t46 () (@var "X2" $$unsorted)) % 3.43/3.68 (define @t47 () (tptp.domain @t46)) % 3.43/3.68 (define @t48 () (tptp.addition (tptp.divergence @t27) (tptp.forward_diamond (tptp.star @t27) @t47))) % 3.43/3.68 (define @t49 () (tptp.addition @t37 @t48)) % 3.43/3.68 (define @t50 () (tptp.addition (tptp.forward_diamond @t27 @t37) @t47)) % 3.43/3.68 (define @t51 () (tptp.addition @t37 @t50)) % 3.43/3.68 (define @t52 () (=> (= @t51 @t50) (= @t49 @t48))) % 3.43/3.68 (define @t53 () (@list @t22 @t27 @t46)) % 3.43/3.68 (define @t54 () (forall @t53 @t52)) % 3.43/3.68 (define @t55 () (tptp.forward_diamond (tptp.star @t22) @t23)) % 3.43/3.68 (define @t56 () (=> (= @t43 tptp.zero) (= @t55 tptp.one))) % 3.43/3.68 (define @t57 () (forall @t25 @t56)) % 3.43/3.68 (define @t58 () (not @t57)) % 3.43/3.68 (define @t59 () (= tptp.zero @t43)) % 3.43/3.68 (define @t60 () (= tptp.one @t55)) % 3.43/3.68 (define @t61 () (@quantifiers_skolemize (forall @t25 (or (not @t59) @t60)) 0)) % 3.43/3.68 (define @t62 () (tptp.divergence @t61)) % 3.43/3.68 (define @t63 () (= tptp.zero @t62)) % 3.43/3.68 (define @t64 () (tptp.antidomain @t61)) % 3.43/3.68 (define @t65 () (tptp.star @t61)) % 3.43/3.68 (define @t66 () (tptp.forward_diamond @t65 @t64)) % 3.43/3.68 (define @t67 () (= tptp.one @t66)) % 3.43/3.68 (define @t68 () (not @t63)) % 3.43/3.68 (define @t69 () (or @t68 @t67)) % 3.43/3.68 (define @t70 () (@list true)) % 3.43/3.68 (define @t71 () (@list @t69)) % 3.43/3.68 (define @t72 () (@list @t65 @t64)) % 3.43/3.68 (define @t73 () (@list @t61)) % 3.43/3.68 (define @t74 () (tptp.antidomain @t64)) % 3.43/3.68 (define @t75 () (tptp.antidomain @t74)) % 3.43/3.68 (define @t76 () (tptp.domain @t64)) % 3.43/3.68 (define @t77 () (forall @t25 (= @t34 @t37))) % 3.43/3.68 (define @t78 () (= @t75 @t76)) % 3.43/3.68 (define @t79 () (@list @t64)) % 3.43/3.68 (define @t80 () (= @t76 @t75)) % 3.43/3.68 (define @t81 () (@list false)) % 3.43/3.68 (define @t82 () (@list @t77)) % 3.43/3.68 (define @t83 () (tptp.multiplication @t65 @t76)) % 3.43/3.68 (define @t84 () (tptp.antidomain @t83)) % 3.43/3.68 (define @t85 () (tptp.antidomain @t84)) % 3.43/3.68 (define @t86 () (tptp.domain @t83)) % 3.43/3.68 (define @t87 () (= @t85 @t86)) % 3.43/3.68 (define @t88 () (@list @t83)) % 3.43/3.68 (define @t89 () (= @t86 @t85)) % 3.43/3.68 (define @t90 () (@list @t61 @t62)) % 3.43/3.68 (define @t91 () (@list @t74)) % 3.43/3.68 (define @t92 () (@list @t84)) % 3.43/3.68 (define @t93 () (tptp.antidomain @t62)) % 3.43/3.68 (define @t94 () (tptp.antidomain @t93)) % 3.43/3.68 (define @t95 () (tptp.domain @t62)) % 3.43/3.68 (define @t96 () (= @t94 @t95)) % 3.43/3.68 (define @t97 () (@list @t62)) % 3.43/3.68 (define @t98 () (= @t95 @t94)) % 3.43/3.68 (define @t99 () (tptp.multiplication @t61 @t95)) % 3.43/3.68 (define @t100 () (tptp.antidomain @t99)) % 3.43/3.68 (define @t101 () (tptp.antidomain @t100)) % 3.43/3.68 (define @t102 () (tptp.domain @t99)) % 3.43/3.68 (define @t103 () (= @t101 @t102)) % 3.43/3.68 (define @t104 () (@list @t99)) % 3.43/3.68 (define @t105 () (= @t102 @t101)) % 3.43/3.68 (define @t106 () (tptp.multiplication @t65 @t75)) % 3.43/3.68 (define @t107 () (tptp.antidomain @t106)) % 3.43/3.68 (define @t108 () (tptp.antidomain (tptp.multiplication @t65 @t64))) % 3.43/3.68 (define @t109 () (@list @t93)) % 3.43/3.68 (define @t110 () (@list @t100)) % 3.43/3.68 (define @t111 () (tptp.forward_diamond @t61 @t102)) % 3.43/3.68 (define @t112 () (tptp.addition @t111 @t76)) % 3.43/3.68 (define @t113 () (tptp.forward_diamond @t65 @t76)) % 3.43/3.68 (define @t114 () (tptp.antidomain @t101)) % 3.43/3.68 (define @t115 () (tptp.multiplication @t85 @t107)) % 3.43/3.68 (define @t116 () (tptp.multiplication @t85 @t108)) % 3.43/3.68 (define @t117 () (tptp.antidomain (tptp.multiplication @t61 @t62))) % 3.43/3.68 (define @t118 () (tptp.multiplication @t61 @t94)) % 3.43/3.68 (define @t119 () (tptp.antidomain @t118)) % 3.43/3.68 (define @t120 () (tptp.domain @t74)) % 3.43/3.68 (define @t121 () (tptp.domain @t84)) % 3.43/3.68 (define @t122 () (@list @t86)) % 3.43/3.68 (define @t123 () (tptp.antidomain @t85)) % 3.43/3.68 (define @t124 () (tptp.multiplication @t121 @t123)) % 3.43/3.68 (define @t125 () (tptp.antidomain @t124)) % 3.43/3.68 (define @t126 () (tptp.multiplication @t121 @t84)) % 3.43/3.68 (define @t127 () (tptp.antidomain @t126)) % 3.43/3.68 (define @t128 () (@list @t76)) % 3.43/3.68 (define @t129 () (tptp.domain @t93)) % 3.43/3.68 (define @t130 () (tptp.antidomain @t86)) % 3.43/3.68 (define @t131 () (tptp.antidomain @t130)) % 3.43/3.68 (define @t132 () (tptp.antidomain @t120)) % 3.43/3.68 (define @t133 () (tptp.domain (tptp.multiplication @t65 (tptp.domain @t76)))) % 3.43/3.68 (define @t134 () (tptp.domain @t100)) % 3.43/3.68 (define @t135 () (tptp.forward_diamond @t94 @t134)) % 3.43/3.68 (define @t136 () (tptp.addition @t135 @t133)) % 3.43/3.68 (define @t137 () (@list @t130)) % 3.43/3.68 (define @t138 () (@list @t131)) % 3.43/3.68 (define @t139 () (tptp.multiplication @t130 @t84)) % 3.43/3.68 (define @t140 () (tptp.multiplication @t131 @t84)) % 3.43/3.68 (define @t141 () (tptp.antidomain @t121)) % 3.43/3.68 (define @t142 () (tptp.antidomain @t75)) % 3.43/3.68 (define @t143 () (tptp.multiplication @t132 @t142)) % 3.43/3.68 (define @t144 () (tptp.antidomain @t143)) % 3.43/3.68 (define @t145 () (tptp.antidomain (tptp.multiplication @t132 @t74))) % 3.43/3.68 (define @t146 () (tptp.antidomain @t76)) % 3.43/3.68 (define @t147 () (tptp.domain @t86)) % 3.43/3.68 (define @t148 () (tptp.multiplication @t86 @t74)) % 3.43/3.68 (define @t149 () (tptp.domain @t61)) % 3.43/3.68 (define @t150 () (tptp.forward_diamond @t94 @t149)) % 3.43/3.68 (define @t151 () (tptp.multiplication @t121 @t139)) % 3.43/3.68 (define @t152 () (tptp.multiplication @t121 @t140)) % 3.43/3.68 (define @t153 () (tptp.multiplication @t141 @t139)) % 3.43/3.68 (define @t154 () (tptp.multiplication @t141 @t140)) % 3.43/3.68 (define @t155 () (tptp.forward_diamond @t61 @t134)) % 3.43/3.68 (define @t156 () (tptp.antidomain @t125)) % 3.43/3.68 (define @t157 () (tptp.antidomain @t147)) % 3.43/3.68 (define @t158 () (tptp.multiplication @t129 @t131)) % 3.43/3.68 (define @t159 () (tptp.antidomain @t158)) % 3.43/3.68 (define @t160 () (tptp.multiplication @t129 @t86)) % 3.43/3.68 (define @t161 () (tptp.antidomain @t160)) % 3.43/3.68 (define @t162 () (tptp.multiplication @t144 @t130)) % 3.43/3.68 (define @t163 () (tptp.multiplication @t145 @t130)) % 3.43/3.68 (define @t164 () (= @t50 @t51)) % 3.43/3.68 (define @t165 () (= @t48 @t49)) % 3.43/3.68 (define @t166 () (tptp.addition @t155 @t76)) % 3.43/3.68 (define @t167 () (tptp.multiplication @t75 @t74)) % 3.43/3.68 (define @t168 () (tptp.antidomain @t167)) % 3.43/3.68 (define @t169 () (tptp.addition @t114 @t101)) % 3.43/3.68 (define @t170 () (tptp.antidomain @t148)) % 3.43/3.68 (define @t171 () (tptp.addition (tptp.antidomain @t170) @t170)) % 3.43/3.68 (define @t172 () (tptp.addition @t171 @t166)) % 3.43/3.68 (define @t173 () (tptp.addition @t117 @t119)) % 3.43/3.68 (define @t174 () (tptp.addition @t101 @t173)) % 3.43/3.68 (define @t175 () (tptp.multiplication @t61 @t101)) % 3.43/3.68 (define @t176 () (tptp.multiplication @t61 tptp.zero)) % 3.43/3.68 (define @t177 () (tptp.addition @t101 @t114)) % 3.43/3.68 (define @t178 () (tptp.multiplication @t93 @t100)) % 3.43/3.68 (define @t179 () (tptp.multiplication @t61 @t134)) % 3.43/3.68 (define @t180 () (tptp.multiplication @t61 tptp.one)) % 3.43/3.68 (define @t181 () (tptp.addition @t74 @t111)) % 3.43/3.68 (define @t182 () (tptp.multiplication @t95 @t120)) % 3.43/3.68 (define @t183 () (tptp.domain @t182)) % 3.43/3.68 (define @t184 () (tptp.addition @t149 @t150)) % 3.43/3.68 (define @t185 () (tptp.addition @t102 @t74)) % 3.43/3.68 (define @t186 () (tptp.addition @t76 @t111)) % 3.43/3.68 (define @t187 () (tptp.addition @t112 @t185)) % 3.43/3.68 (define @t188 () (tptp.addition @t108 @t107)) % 3.43/3.68 (define @t189 () (tptp.multiplication @t85 @t188)) % 3.43/3.68 (define @t190 () (tptp.addition @t116 tptp.zero)) % 3.43/3.68 (define @t191 () (tptp.addition @t115 @t116)) % 3.43/3.68 (define @t192 () (tptp.addition @t75 @t74)) % 3.43/3.68 (define @t193 () (tptp.addition @t117 @t117)) % 3.43/3.68 (define @t194 () (tptp.addition (tptp.addition @t101 @t117) @t119)) % 3.43/3.68 (define @t195 () (tptp.addition @t62 @t113)) % 3.43/3.68 (define @t196 () (= @t195 (tptp.addition @t134 @t195))) % 3.43/3.68 (define @t197 () (tptp.addition @t134 @t166)) % 3.43/3.68 (define @t198 () (= @t166 @t197)) % 3.43/3.68 (define @t199 () (not @t198)) % 3.43/3.68 (define @t200 () (or @t199 @t196)) % 3.43/3.68 (define @t201 () (tptp.addition @t140 @t152)) % 3.43/3.68 (define @t202 () (tptp.multiplication @t141 @t153)) % 3.43/3.68 (define @t203 () (tptp.multiplication @t141 @t154)) % 3.43/3.68 (define @t204 () (tptp.addition @t150 @t149)) % 3.43/3.68 (define @t205 () (tptp.addition @t134 @t155)) % 3.43/3.68 (define @t206 () (tptp.multiplication @t161 @t147)) % 3.43/3.68 (define @t207 () (tptp.multiplication @t129 @t85)) % 3.43/3.68 (define @t208 () (tptp.antidomain @t207)) % 3.43/3.68 (define @t209 () (tptp.multiplication @t129 @t83)) % 3.43/3.68 (define @t210 () (tptp.antidomain @t209)) % 3.43/3.68 (define @t211 () (= @t66 @t86)) % 3.43/3.68 (define @t212 () (tptp.forward_diamond @t61 @t62)) % 3.43/3.68 (define @t213 () (= @t62 @t212)) % 3.43/3.68 (define @t214 () (= @t212 @t102)) % 3.43/3.68 (define @t215 () (= tptp.zero @t167)) % 3.43/3.68 (define @t216 () (= tptp.zero (tptp.multiplication @t85 @t84))) % 3.43/3.68 (define @t217 () (= @t107 @t188)) % 3.43/3.68 (define @t218 () (tptp.addition @t74 @t64)) % 3.43/3.68 (define @t219 () (= tptp.one @t218)) % 3.43/3.68 (define @t220 () (= tptp.one @t192)) % 3.43/3.68 (define @t221 () (= @t74 @t149)) % 3.43/3.68 (define @t222 () (= @t142 @t120)) % 3.43/3.68 (define @t223 () (= @t123 @t121)) % 3.43/3.68 (define @t224 () (tptp.addition @t116 @t115)) % 3.43/3.68 (define @t225 () (= @t189 @t224)) % 3.43/3.68 (define @t226 () (= tptp.zero (tptp.multiplication @t94 @t93))) % 3.43/3.68 (define @t227 () (= @t119 @t173)) % 3.43/3.68 (define @t228 () (= @t168 (tptp.addition (tptp.antidomain (tptp.multiplication @t75 @t61)) @t168))) % 3.43/3.68 (define @t229 () (= tptp.one @t169)) % 3.43/3.68 (define @t230 () (= tptp.one (tptp.addition @t101 @t100))) % 3.43/3.68 (define @t231 () (= @t114 @t134)) % 3.43/3.68 (define @t232 () (tptp.antidomain @t94)) % 3.43/3.68 (define @t233 () (= @t232 @t129)) % 3.43/3.68 (define @t234 () (= @t112 @t186)) % 3.43/3.68 (define @t235 () (tptp.addition @t112 @t102)) % 3.43/3.68 (define @t236 () (tptp.addition @t102 @t112)) % 3.43/3.68 (define @t237 () (= @t236 @t235)) % 3.43/3.68 (define @t238 () (tptp.addition @t113 @t62)) % 3.43/3.68 (define @t239 () (= @t195 @t238)) % 3.43/3.68 (define @t240 () (= @t169 @t177)) % 3.43/3.68 (define @t241 () (= @t224 @t191)) % 3.43/3.68 (define @t242 () (= @t174 @t194)) % 3.43/3.68 (define @t243 () (= @t236 (tptp.addition (tptp.addition @t102 @t111) @t76))) % 3.43/3.68 (define @t244 () (= @t114 (tptp.addition @t114 tptp.zero))) % 3.43/3.68 (define @t245 () (= @t116 @t190)) % 3.43/3.68 (define @t246 () (= tptp.zero @t176)) % 3.43/3.68 (define @t247 () (tptp.multiplication tptp.zero @t84)) % 3.43/3.68 (define @t248 () (= tptp.zero @t247)) % 3.43/3.68 (define @t249 () (= tptp.zero (tptp.multiplication @t132 @t120))) % 3.43/3.68 (define @t250 () (tptp.multiplication @t141 @t121)) % 3.43/3.68 (define @t251 () (= tptp.zero @t250)) % 3.43/3.68 (define @t252 () (tptp.addition @t127 @t125)) % 3.43/3.68 (define @t253 () (= @t125 @t252)) % 3.43/3.68 (define @t254 () (tptp.addition @t131 @t130)) % 3.43/3.68 (define @t255 () (= tptp.one @t254)) % 3.43/3.68 (define @t256 () (= @t131 @t147)) % 3.43/3.68 (define @t257 () (= @t113 @t133)) % 3.43/3.68 (define @t258 () (tptp.multiplication @t94 @t134)) % 3.43/3.68 (define @t259 () (tptp.domain @t258)) % 3.43/3.68 (define @t260 () (= (tptp.forward_diamond @t94 @t100) @t259)) % 3.43/3.68 (define @t261 () (tptp.addition @t86 @t111)) % 3.43/3.68 (define @t262 () (= (tptp.addition @t111 @t86) @t261)) % 3.43/3.68 (define @t263 () (tptp.addition @t125 @t127)) % 3.43/3.68 (define @t264 () (= @t252 @t263)) % 3.43/3.68 (define @t265 () (tptp.addition @t113 @t76)) % 3.43/3.68 (define @t266 () (= @t265 (tptp.addition @t76 @t113))) % 3.43/3.68 (define @t267 () (= @t76 (tptp.addition @t76 tptp.zero))) % 3.43/3.68 (define @t268 () (= @t113 (tptp.addition @t113 tptp.zero))) % 3.43/3.68 (define @t269 () (= @t129 (tptp.multiplication @t129 tptp.one))) % 3.43/3.68 (define @t270 () (= @t61 (tptp.multiplication tptp.one @t61))) % 3.43/3.68 (define @t271 () (= @t84 (tptp.multiplication tptp.one @t84))) % 3.43/3.68 (define @t272 () (tptp.addition @t140 @t139)) % 3.43/3.68 (define @t273 () (tptp.multiplication @t254 @t84)) % 3.43/3.68 (define @t274 () (= @t273 @t272)) % 3.43/3.68 (define @t275 () (tptp.multiplication tptp.zero @t64)) % 3.43/3.68 (define @t276 () (= tptp.zero @t275)) % 3.43/3.68 (define @t277 () (tptp.addition @t145 @t144)) % 3.43/3.68 (define @t278 () (= @t144 @t277)) % 3.43/3.68 (define @t279 () (tptp.addition @t136 @t134)) % 3.43/3.68 (define @t280 () (tptp.addition @t134 @t136)) % 3.43/3.68 (define @t281 () (= @t280 @t279)) % 3.43/3.68 (define @t282 () (= @t187 (tptp.addition @t235 @t74))) % 3.43/3.68 (define @t283 () (= @t86 (tptp.addition @t86 tptp.zero))) % 3.43/3.68 (define @t284 () (= @t130 (tptp.multiplication @t130 tptp.one))) % 3.43/3.68 (define @t285 () (= @t131 (tptp.multiplication @t131 tptp.one))) % 3.43/3.68 (define @t286 () (= @t130 (tptp.multiplication tptp.one @t130))) % 3.43/3.68 (define @t287 () (= @t131 (tptp.multiplication tptp.one @t131))) % 3.43/3.68 (define @t288 () (tptp.addition @t152 @t151)) % 3.43/3.68 (define @t289 () (tptp.multiplication @t121 @t272)) % 3.43/3.68 (define @t290 () (= @t289 @t288)) % 3.43/3.68 (define @t291 () (tptp.addition @t154 @t153)) % 3.43/3.68 (define @t292 () (tptp.multiplication @t141 @t272)) % 3.43/3.68 (define @t293 () (= @t292 @t291)) % 3.43/3.68 (define @t294 () (tptp.multiplication @t76 @t64)) % 3.43/3.68 (define @t295 () (tptp.multiplication @t112 @t64)) % 3.43/3.68 (define @t296 () (= @t295 (tptp.addition (tptp.multiplication @t111 @t64) @t294))) % 3.43/3.68 (define @t297 () (tptp.addition @t163 @t162)) % 3.43/3.68 (define @t298 () (tptp.multiplication @t277 @t130)) % 3.43/3.68 (define @t299 () (= @t298 @t297)) % 3.43/3.68 (define @t300 () (tptp.multiplication @t131 tptp.zero)) % 3.43/3.68 (define @t301 () (= tptp.zero @t300)) % 3.43/3.68 (define @t302 () (= tptp.zero (tptp.multiplication tptp.zero @t146))) % 3.43/3.68 (define @t303 () (tptp.multiplication @t157 @t147)) % 3.43/3.68 (define @t304 () (= tptp.zero @t303)) % 3.43/3.68 (define @t305 () (tptp.addition @t161 @t159)) % 3.43/3.68 (define @t306 () (= @t159 @t305)) % 3.43/3.68 (define @t307 () (tptp.addition @t156 @t125)) % 3.43/3.68 (define @t308 () (= tptp.one @t307)) % 3.43/3.68 (define @t309 () (= tptp.one @t171)) % 3.43/3.68 (define @t310 () (= (tptp.forward_diamond @t95 @t74) @t183)) % 3.43/3.68 (define @t311 () (= @t204 @t184)) % 3.43/3.68 (define @t312 () (tptp.addition @t151 @t152)) % 3.43/3.68 (define @t313 () (= @t288 @t312)) % 3.43/3.68 (define @t314 () (tptp.addition @t153 @t154)) % 3.43/3.68 (define @t315 () (= @t291 @t314)) % 3.43/3.68 (define @t316 () (= @t166 (tptp.addition @t76 @t155))) % 3.43/3.68 (define @t317 () (tptp.addition @t201 @t151)) % 3.43/3.68 (define @t318 () (tptp.addition @t140 @t288)) % 3.43/3.68 (define @t319 () (= @t318 @t317)) % 3.43/3.68 (define @t320 () (tptp.addition @t205 @t76)) % 3.43/3.68 (define @t321 () (= @t197 @t320)) % 3.43/3.68 (define @t322 () (tptp.addition @t307 @t127)) % 3.43/3.68 (define @t323 () (= (tptp.addition @t156 @t263) @t322)) % 3.43/3.68 (define @t324 () (tptp.addition @t74 tptp.zero)) % 3.43/3.68 (define @t325 () (= @t74 @t324)) % 3.43/3.68 (define @t326 () (tptp.multiplication @t157 @t129)) % 3.43/3.68 (define @t327 () (tptp.multiplication @t157 @t158)) % 3.43/3.68 (define @t328 () (= @t327 (tptp.multiplication @t326 @t131))) % 3.43/3.68 (define @t329 () (tptp.multiplication @t141 @t126)) % 3.43/3.68 (define @t330 () (= @t329 (tptp.multiplication @t250 @t84))) % 3.43/3.68 (define @t331 () (tptp.multiplication @t121 @t141)) % 3.43/3.68 (define @t332 () (tptp.multiplication @t141 @t84)) % 3.43/3.68 (define @t333 () (tptp.multiplication @t121 @t332)) % 3.43/3.68 (define @t334 () (= @t333 (tptp.multiplication @t331 @t84))) % 3.43/3.68 (define @t335 () (= @t64 (tptp.multiplication @t64 tptp.one))) % 3.43/3.68 (define @t336 () (tptp.multiplication @t76 tptp.one)) % 3.43/3.68 (define @t337 () (= @t76 @t336)) % 3.43/3.68 (define @t338 () (= @t126 (tptp.multiplication @t126 tptp.one))) % 3.43/3.68 (define @t339 () (= @t61 @t180)) % 3.43/3.68 (define @t340 () (= @t64 (tptp.multiplication tptp.one @t64))) % 3.43/3.68 (define @t341 () (= @t86 (tptp.multiplication tptp.one @t86))) % 3.43/3.68 (define @t342 () (tptp.addition @t203 @t202)) % 3.43/3.68 (define @t343 () (tptp.multiplication @t141 @t291)) % 3.43/3.68 (define @t344 () (= @t343 @t342)) % 3.43/3.68 (define @t345 () (tptp.multiplication @t75 @t64)) % 3.43/3.68 (define @t346 () (tptp.addition @t167 @t345)) % 3.43/3.68 (define @t347 () (= (tptp.multiplication @t75 @t218) @t346)) % 3.43/3.68 (define @t348 () (tptp.multiplication @t159 @t147)) % 3.43/3.68 (define @t349 () (tptp.addition @t206 @t348)) % 3.43/3.68 (define @t350 () (= (tptp.multiplication @t305 @t147) @t349)) % 3.43/3.68 (define @t351 () (tptp.addition (tptp.multiplication @t163 @t140) (tptp.multiplication @t162 @t140))) % 3.43/3.68 (define @t352 () (tptp.multiplication @t297 @t140)) % 3.43/3.68 (define @t353 () (= @t352 @t351)) % 3.43/3.68 (define @t354 () (tptp.addition @t210 @t208)) % 3.43/3.68 (define @t355 () (= @t208 @t354)) % 3.43/3.68 (define @t356 () (tptp.multiplication @t64 @t232)) % 3.43/3.68 (define @t357 () (tptp.antidomain @t356)) % 3.43/3.68 (define @t358 () (tptp.multiplication @t64 @t93)) % 3.43/3.68 (define @t359 () (tptp.antidomain @t358)) % 3.43/3.68 (define @t360 () (tptp.addition @t359 @t357)) % 3.43/3.68 (define @t361 () (= @t357 @t360)) % 3.43/3.68 (define @t362 () (= @t155 (tptp.domain (tptp.multiplication @t61 (tptp.domain @t134))))) % 3.43/3.68 (define @t363 () (tptp.addition @t140 @t102)) % 3.43/3.68 (define @t364 () (= (tptp.addition @t102 @t140) @t363)) % 3.43/3.68 (define @t365 () (= @t317 (tptp.addition @t151 @t201))) % 3.43/3.68 (define @t366 () (tptp.addition @t202 @t203)) % 3.43/3.68 (define @t367 () (= @t342 @t366)) % 3.43/3.68 (define @t368 () (tptp.addition @t75 @t149)) % 3.43/3.68 (define @t369 () (tptp.addition @t368 @t204)) % 3.43/3.68 (define @t370 () (= (tptp.addition @t75 (tptp.addition @t149 @t204)) @t369)) % 3.43/3.68 (define @t371 () (tptp.addition @t136 @t320)) % 3.43/3.68 (define @t372 () (= @t371 (tptp.addition (tptp.addition @t136 @t205) @t76))) % 3.43/3.68 (define @t373 () (= @t206 (tptp.addition @t206 tptp.zero))) % 3.43/3.68 (define @t374 () (tptp.addition @t203 tptp.zero)) % 3.43/3.68 (define @t375 () (= @t203 @t374)) % 3.43/3.68 (define @t376 () (= @t151 (tptp.multiplication @t151 tptp.one))) % 3.43/3.68 (define @t377 () (= @t83 (tptp.multiplication tptp.one @t83))) % 3.43/3.68 (define @t378 () (= @t74 (tptp.multiplication tptp.one @t74))) % 3.43/3.68 (define @t379 () (tptp.multiplication @t141 @t208)) % 3.43/3.68 (define @t380 () (tptp.multiplication @t141 @t210)) % 3.43/3.68 (define @t381 () (tptp.addition @t380 @t379)) % 3.43/3.68 (define @t382 () (= (tptp.multiplication @t141 @t354) @t381)) % 3.43/3.68 (define @t383 () (tptp.multiplication @t320 @t64)) % 3.43/3.68 (define @t384 () (= @t383 (tptp.addition (tptp.multiplication @t205 @t64) @t294))) % 3.43/3.68 (define @t385 () (tptp.multiplication @t134 @t74)) % 3.43/3.68 (define @t386 () (tptp.antidomain @t385)) % 3.43/3.68 (define @t387 () (tptp.multiplication @t134 @t61)) % 3.43/3.68 (define @t388 () (tptp.antidomain @t387)) % 3.43/3.68 (define @t389 () (tptp.addition @t388 @t386)) % 3.43/3.68 (define @t390 () (= @t386 @t389)) % 3.43/3.68 (define @t391 () (tptp.multiplication @t178 @t64)) % 3.43/3.68 (define @t392 () (tptp.addition @t113 @t95)) % 3.43/3.68 (define @t393 () (tptp.addition @t76 @t136)) % 3.43/3.68 (define @t394 () (tptp.addition @t135 @t86)) % 3.43/3.68 (define @t395 () (tptp.multiplication @t93 @t84)) % 3.43/3.68 (define @t396 () (tptp.multiplication @t326 @t147)) % 3.43/3.68 (define @t397 () (tptp.multiplication @t131 @t232)) % 3.43/3.68 (define @t398 () (tptp.multiplication @t102 @t84)) % 3.43/3.68 (define @t399 () (tptp.multiplication @t130 @t232)) % 3.43/3.68 (define @t400 () (tptp.antidomain @t399)) % 3.43/3.68 (define @t401 () (tptp.multiplication @t400 @t140)) % 3.43/3.68 (define @t402 () (tptp.multiplication @t151 @t100)) % 3.43/3.68 (define @t403 () (tptp.multiplication @t126 @t93)) % 3.43/3.68 (define @t404 () (and @t63 @t211 @t213 @t80 @t89 @t214 @t215 @t216 @t217 @t219 @t220 @t221 @t222 @t223 @t98 @t105 @t225 @t226 @t227 @t228 @t229 @t230 @t231 @t233 @t234 @t237 @t239 @t240 @t241 @t242 @t243 @t244 @t245 @t246 @t248 @t249 @t251 @t253 @t255 @t256 @t257 @t260 @t262 @t264 @t266 @t267 @t268 @t269 @t270 @t271 @t274 @t276 @t278 @t281 @t282 @t283 @t284 @t285 @t286 @t287 @t290 @t293 @t296 @t299 @t301 @t302 @t304 @t306 @t308 @t309 @t310 @t196 @t311 @t313 @t315 @t316 @t319 @t321 @t323 @t325 @t328 @t330 @t334 @t335 @t337 @t338 @t339 @t340 @t341 @t344 @t347 @t350 @t353 @t355 @t361 @t362 @t364 @t365 @t367 @t370 @t372 @t373 @t375 @t376 @t377 @t378 @t382 @t384 @t390)) % 3.43/3.68 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 3.43/3.68 (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 3.43/3.68 (assume @p3 @t9) % 3.43/3.68 (assume @p4 (forall @t8 (= (tptp.addition @t1 @t1) @t1))) % 3.43/3.68 (assume @p5 (forall @t12 (= (tptp.multiplication @t1 @t11) (tptp.multiplication @t10 @t5)))) % 3.43/3.68 (assume @p6 @t14) % 3.43/3.68 (assume @p7 @t16) % 3.43/3.68 (assume @p8 (forall @t12 (= (tptp.multiplication @t1 @t6) (tptp.addition @t10 @t17)))) % 3.43/3.68 (assume @p9 (forall @t12 (= (tptp.multiplication @t3 @t5) (tptp.addition @t17 @t11)))) % 3.43/3.68 (assume @p10 @t19) % 3.43/3.68 (assume @p11 @t21) % 3.43/3.68 (assume @p12 (forall @t4 (= (tptp.leq @t1 @t2) (= @t3 @t2)))) % 3.43/3.68 (assume @p13 @t26) % 3.43/3.68 (assume @p14 @t33) % 3.43/3.68 (assume @p15 @t36) % 3.43/3.68 (assume @p16 @t38) % 3.43/3.68 (assume @p17 (forall @t25 (= (tptp.multiplication @t22 @t39) tptp.zero))) % 3.43/3.68 (assume @p18 (forall @t32 (= (tptp.addition (tptp.coantidomain @t30) @t41) @t41))) % 3.43/3.68 (assume @p19 (forall @t25 (= (tptp.addition @t40 @t39) tptp.one))) % 3.43/3.68 (assume @p20 (forall @t25 (= (tptp.codomain @t22) @t40))) % 3.43/3.68 (assume @p21 (forall @t25 (= (tptp.c @t22) (tptp.antidomain @t37)))) % 3.43/3.68 (assume @p22 (forall @t32 (= (tptp.domain_difference @t22 @t27) (tptp.multiplication @t37 @t28)))) % 3.43/3.68 (assume @p23 (forall @t32 (= (tptp.forward_diamond @t22 @t27) (tptp.domain (tptp.multiplication @t22 (tptp.domain @t27)))))) % 3.43/3.68 (assume @p24 (forall @t32 (= (tptp.backward_diamond @t22 @t27) (tptp.codomain (tptp.multiplication (tptp.codomain @t27) @t22))))) % 3.43/3.68 (assume @p25 (forall @t32 (= (tptp.forward_box @t22 @t27) (tptp.c (tptp.forward_diamond @t22 @t42))))) % 3.43/3.68 (assume @p26 (forall @t32 (= (tptp.backward_box @t22 @t27) (tptp.c (tptp.backward_diamond @t22 @t42))))) % 3.43/3.68 (assume @p27 @t45) % 3.43/3.68 (assume @p28 @t54) % 3.43/3.68 (assume @p29 @t58) % 3.43/3.68 (assume @p30 true) % 3.43/3.68 (step @p31 :rule bool-impl-elim :args (@t59 @t60)) % 3.43/3.68 (step @p32 :rule cong :premises (@p31) :args ((forall @t25 (=> @t59 @t60)))) % 3.43/3.68 (step @p33 :rule eq-symm :args (@t55 tptp.one)) % 3.43/3.68 (step @p34 :rule eq-symm :args (@t43 tptp.zero)) % 3.43/3.68 (step @p35 :rule cong :premises (@p34 @p33) :args (@t56)) % 3.43/3.68 (step @p36 :rule cong :premises (@p35) :args (@t57)) % 3.43/3.68 (step @p37 :rule trans :premises (@p36 @p32)) % 3.43/3.68 (step @p38 :rule cong :premises (@p37) :args (@t58)) % 3.43/3.68 (step @p39 :rule eq_resolve :premises (@p29 @p38)) % 3.43/3.68 (step @p40 :rule skolemize :premises (@p39)) % 3.43/3.68 (step @p41 :rule bool-double-not-elim :args (@t63)) % 3.43/3.68 (step @p42 :rule refl :args (@t69)) % 3.43/3.68 (step @p43 :rule nary_cong :premises (@p42 @p41) :args ((or @t69 (not @t68)))) % 3.43/3.68 (step @p44 :rule cnf_or_neg :args (@t69 0)) % 3.43/3.68 (step @p45 :rule eq_resolve :premises (@p44 @p43)) % 3.43/3.68 (step @p46 :rule reordering :premises (@p45) :args ((or @t63 @t69))) % 3.43/3.68 (step @p47 :rule chain_m_resolution :premises (@p46 @p40) :args (@t63 @t70 @t71)) % 3.43/3.68 (step @p48 :rule cnf_or_neg :args (@t69 1)) % 3.43/3.68 (step @p49 :rule chain_m_resolution :premises (@p48 @p40) :args ((not @t67) @t70 @t71)) % 3.43/3.68 (step @p50 :rule instantiate :premises (@p23) :args (@t72)) % 3.43/3.68 (step @p51 :rule eq-symm :args (@t44 @t43)) % 3.43/3.68 (step @p52 :rule cong :premises (@p51) :args (@t45)) % 3.43/3.68 (step @p53 :rule eq_resolve :premises (@p27 @p52)) % 3.43/3.68 (step @p54 :rule instantiate :premises (@p53) :args (@t73)) % 3.43/3.68 (step @p55 :rule eq-symm :args (@t37 @t34)) % 3.43/3.68 (step @p56 :rule cong :premises (@p55) :args (@t38)) % 3.43/3.68 (step @p57 :rule eq_resolve :premises (@p16 @p56)) % 3.43/3.68 (step @p58 :rule eq-symm :args (@t75 @t76)) % 3.43/3.68 (step @p59 :rule refl :args (@t77)) % 3.43/3.68 (step @p60 :rule cong :premises (@p59 @p58) :args ((=> @t77 @t78))) % 3.43/3.68 (assume-push @p993 @t77) % 3.43/3.68 (step @p62 :rule instantiate :premises (@p57) :args (@t79)) % 3.43/3.68 (step-pop @p994 :rule scope :premises (@p62)) % 3.43/3.68 (step @p63 :rule process_scope :premises (@p994) :args (@t78)) % 3.43/3.68 (step @p65 :rule eq_resolve :premises (@p63 @p60)) % 3.43/3.68 (step @p66 :rule implies_elim :premises (@p65)) % 3.43/3.68 (step @p67 :rule chain_m_resolution :premises (@p66 @p57) :args (@t80 @t81 @t82)) % 3.43/3.68 (step @p68 :rule eq-symm :args (@t85 @t86)) % 3.43/3.68 (step @p69 :rule cong :premises (@p59 @p68) :args ((=> @t77 @t87))) % 3.43/3.68 (assume-push @p995 @t77) % 3.43/3.68 (step @p71 :rule instantiate :premises (@p57) :args (@t88)) % 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@t219) (not @t220) (not @t221) (not @t222) (not @t223) (not @t98) (not @t105) (not @t225) (not @t226) (not @t227) (not @t228) (not @t229) (not @t230) (not @t231) (not @t233) (not @t234) (not @t237) (not @t239) (not @t240) (not @t241) (not @t242) (not @t243) (not @t244) (not @t245) (not @t246) (not @t248) (not @t249) (not @t251) (not @t253) (not @t255) (not @t256) (not @t257) (not @t260) (not @t262) (not @t264) (not @t266) (not @t267) (not @t268) (not @t269) (not @t270) (not @t271) (not @t274) (not @t276) (not @t278) (not @t281) (not @t282) (not @t283) (not @t284) (not @t285) (not @t286) (not @t287) (not @t290) (not @t293) (not @t296) (not @t299) (not @t301) (not @t302) (not @t304) (not @t306) (not @t308) (not @t309) (not @t310) (not @t196) (not @t311) (not @t313) (not @t315) (not @t316) (not @t319) (not @t321) (not @t323) (not @t325) (not @t328) (not @t330) (not @t334) (not @t335) (not @t337) (not @t338) (not @t339) (not @t340) (not @t341) (not @t344) (not @t347) (not @t350) (not @t353) (not @t355) (not @t361) (not @t362) (not @t364) (not @t365) (not @t367) (not @t370) (not @t372) (not @t373) (not @t375) (not @t376) (not @t377) (not @t378) (not @t382) (not @t384) (not @t390)))) % 3.43/3.69 (step @p992 false :rule chain_m_resolution :premises (@p991 @p389 @p388 @p387 @p386 @p385 @p384 @p383 @p382 @p381 @p380 @p379 @p378 @p377 @p376 @p206 @p205 @p204 @p203 @p202 @p201 @p200 @p199 @p198 @p197 @p196 @p195 @p194 @p193 @p192 @p191 @p190 @p189 @p188 @p187 @p186 @p185 @p184 @p183 @p182 @p181 @p180 @p179 @p178 @p177 @p176 @p175 @p174 @p173 @p172 @p171 @p170 @p169 @p168 @p167 @p166 @p165 @p164 @p163 @p162 @p161 @p160 @p156 @p152 @p151 @p150 @p149 @p148 @p147 @p146 @p145 @p144 @p143 @p142 @p141 @p140 @p136 @p132 @p131 @p127 @p126 @p125 @p124 @p123 @p122 @p121 @p120 @p119 @p118 @p117 @p116 @p115 @p114 @p113 @p112 @p103 @p94 @p93 @p92 @p91 @p90 @p86 @p82 @p81 @p77 @p76 @p67 @p54 @p50 @p49 @p47) :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 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 false) (@list @t390 @t384 @t382 @t378 @t377 @t376 @t375 @t373 @t372 @t370 @t367 @t365 @t364 @t196 @t362 @t361 @t355 @t353 @t350 @t347 @t344 @t341 @t340 @t339 @t338 @t337 @t335 @t334 @t330 @t328 @t325 @t323 @t321 @t319 @t316 @t315 @t313 @t311 @t310 @t309 @t308 @t306 @t304 @t302 @t301 @t299 @t296 @t293 @t290 @t287 @t286 @t285 @t284 @t283 @t282 @t281 @t278 @t276 @t274 @t271 @t270 @t269 @t268 @t267 @t266 @t264 @t262 @t260 @t257 @t256 @t255 @t253 @t251 @t249 @t248 @t246 @t245 @t244 @t243 @t242 @t241 @t240 @t239 @t237 @t234 @t233 @t231 @t230 @t229 @t228 @t227 @t226 @t225 @t105 @t98 @t223 @t222 @t221 @t220 @t219 @t217 @t216 @t215 @t214 @t89 @t80 @t213 @t211 @t67 @t63))) % 3.43/3.69 ) % 3.43/3.69 % SZS output end Proof % 3.43/3.69 % cvc5 exiting %------------------------------------------------------------------------------