%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE010+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n019.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 08:28:03 AM UTC 2026 % Result : Theorem 5.42s 5.63s % Output : Proof 5.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE010+1 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n019.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 05:09:49 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 5.42/5.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 5.42/5.63 % SZS status Theorem % 5.42/5.63 % SZS output start Proof % 5.42/5.63 ( % 5.42/5.63 (declare-sort $$unsorted 0) % 5.42/5.63 (declare-const tptp.c (-> $$unsorted $$unsorted)) % 5.42/5.63 (declare-const tptp.test (-> $$unsorted Bool)) % 5.42/5.63 (declare-const tptp.complement (-> $$unsorted $$unsorted Bool)) % 5.42/5.63 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 5.42/5.63 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 5.42/5.63 (declare-const tptp.zero $$unsorted) % 5.42/5.63 (declare-const tptp.one $$unsorted) % 5.42/5.63 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 5.42/5.63 (define @t1 () (@var "A" $$unsorted)) % 5.42/5.63 (define @t2 () (@var "B" $$unsorted)) % 5.42/5.63 (define @t3 () (tptp.addition @t1 @t2)) % 5.42/5.63 (define @t4 () (@list @t1 @t2)) % 5.42/5.63 (define @t5 () (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 5.42/5.63 (define @t6 () (@var "C" $$unsorted)) % 5.42/5.63 (define @t7 () (tptp.addition @t2 @t6)) % 5.42/5.63 (define @t8 () (forall (@list @t6 @t2 @t1) (= (tptp.addition @t1 @t7) (tptp.addition @t3 @t6)))) % 5.42/5.63 (define @t9 () (tptp.addition @t1 tptp.zero)) % 5.42/5.63 (define @t10 () (@list @t1)) % 5.42/5.63 (define @t11 () (forall @t10 (= @t9 @t1))) % 5.42/5.63 (define @t12 () (tptp.addition @t1 @t1)) % 5.42/5.63 (define @t13 () (forall @t10 (= @t12 @t1))) % 5.42/5.63 (define @t14 () (tptp.multiplication @t1 @t2)) % 5.42/5.63 (define @t15 () (tptp.multiplication @t2 @t6)) % 5.42/5.63 (define @t16 () (@list @t1 @t2 @t6)) % 5.42/5.63 (define @t17 () (forall @t16 (= (tptp.multiplication @t1 @t15) (tptp.multiplication @t14 @t6)))) % 5.42/5.63 (define @t18 () (tptp.multiplication @t1 tptp.one)) % 5.42/5.63 (define @t19 () (forall @t10 (= @t18 @t1))) % 5.42/5.63 (define @t20 () (tptp.multiplication tptp.one @t1)) % 5.42/5.63 (define @t21 () (forall @t10 (= @t20 @t1))) % 5.42/5.63 (define @t22 () (tptp.multiplication @t1 @t6)) % 5.42/5.63 (define @t23 () (forall @t16 (= (tptp.multiplication @t1 @t7) (tptp.addition @t14 @t22)))) % 5.42/5.63 (define @t24 () (forall @t16 (= (tptp.multiplication @t3 @t6) (tptp.addition @t22 @t15)))) % 5.42/5.63 (define @t25 () (tptp.multiplication @t1 tptp.zero)) % 5.42/5.63 (define @t26 () (forall @t10 (= @t25 tptp.zero))) % 5.42/5.63 (define @t27 () (tptp.multiplication tptp.zero @t1)) % 5.42/5.63 (define @t28 () (forall @t10 (= @t27 tptp.zero))) % 5.42/5.63 (define @t29 () (@var "X0" $$unsorted)) % 5.42/5.63 (define @t30 () (@var "X1" $$unsorted)) % 5.42/5.63 (define @t31 () (tptp.complement @t30 @t29)) % 5.42/5.63 (define @t32 () (@list @t30)) % 5.42/5.63 (define @t33 () (exists @t32 @t31)) % 5.42/5.63 (define @t34 () (tptp.test @t29)) % 5.42/5.63 (define @t35 () (= @t34 @t33)) % 5.42/5.63 (define @t36 () (@list @t29)) % 5.42/5.63 (define @t37 () (forall @t36 @t35)) % 5.42/5.63 (define @t38 () (tptp.addition @t29 @t30)) % 5.42/5.63 (define @t39 () (tptp.multiplication @t30 @t29)) % 5.42/5.63 (define @t40 () (tptp.multiplication @t29 @t30)) % 5.42/5.63 (define @t41 () (and (= @t40 tptp.zero) (= @t39 tptp.zero) (= @t38 tptp.one))) % 5.42/5.63 (define @t42 () (= @t31 @t41)) % 5.42/5.63 (define @t43 () (@list @t29 @t30)) % 5.42/5.63 (define @t44 () (forall @t43 @t42)) % 5.42/5.63 (define @t45 () (tptp.complement @t29 @t30)) % 5.42/5.63 (define @t46 () (tptp.c @t29)) % 5.42/5.63 (define @t47 () (= (= @t46 @t30) @t45)) % 5.42/5.63 (define @t48 () (=> @t34 @t47)) % 5.42/5.63 (define @t49 () (forall @t43 @t48)) % 5.42/5.63 (define @t50 () (not @t34)) % 5.42/5.63 (define @t51 () (tptp.c @t30)) % 5.42/5.63 (define @t52 () (= tptp.one (tptp.addition (tptp.addition (tptp.addition (tptp.addition @t39 (tptp.multiplication @t51 @t29)) @t40) (tptp.multiplication @t46 @t30)) (tptp.multiplication @t46 @t51)))) % 5.42/5.63 (define @t53 () (tptp.test @t30)) % 5.42/5.63 (define @t54 () (and @t53 @t34)) % 5.42/5.63 (define @t55 () (forall @t43 (=> @t54 @t52))) % 5.42/5.63 (define @t56 () (not @t55)) % 5.42/5.63 (define @t57 () (not @t53)) % 5.42/5.63 (define @t58 () (or @t57 @t50 @t52)) % 5.42/5.63 (define @t59 () (forall @t43 @t58)) % 5.42/5.63 (define @t60 () (@quantifiers_skolemize @t59 1)) % 5.42/5.63 (define @t61 () (tptp.c @t60)) % 5.42/5.63 (define @t62 () (@quantifiers_skolemize @t59 0)) % 5.42/5.63 (define @t63 () (tptp.c @t62)) % 5.42/5.63 (define @t64 () (tptp.multiplication @t63 @t61)) % 5.42/5.63 (define @t65 () (tptp.multiplication @t63 @t60)) % 5.42/5.63 (define @t66 () (tptp.multiplication @t62 @t60)) % 5.42/5.63 (define @t67 () (tptp.multiplication @t61 @t62)) % 5.42/5.63 (define @t68 () (tptp.multiplication @t60 @t62)) % 5.42/5.63 (define @t69 () (tptp.addition @t68 @t67)) % 5.42/5.63 (define @t70 () (tptp.addition @t69 @t66)) % 5.42/5.63 (define @t71 () (tptp.addition @t70 @t65)) % 5.42/5.63 (define @t72 () (tptp.addition @t71 @t64)) % 5.42/5.63 (define @t73 () (= tptp.one @t72)) % 5.42/5.63 (define @t74 () (tptp.test @t62)) % 5.42/5.63 (define @t75 () (not @t74)) % 5.42/5.63 (define @t76 () (tptp.test @t60)) % 5.42/5.63 (define @t77 () (not @t76)) % 5.42/5.63 (define @t78 () (or @t77 @t75 @t73)) % 5.42/5.63 (define @t79 () (not @t73)) % 5.42/5.63 (define @t80 () (@list true)) % 5.42/5.63 (define @t81 () (@list @t78)) % 5.42/5.63 (define @t82 () (tptp.addition @t65 @t64)) % 5.42/5.63 (define @t83 () (tptp.addition @t70 @t82)) % 5.42/5.63 (define @t84 () (= @t83 @t72)) % 5.42/5.63 (define @t85 () (@list @t64 @t65 @t70)) % 5.42/5.63 (define @t86 () (= @t72 @t83)) % 5.42/5.63 (define @t87 () (@list false)) % 5.42/5.63 (define @t88 () (@list @t8)) % 5.42/5.63 (define @t89 () (tptp.addition @t60 @t61)) % 5.42/5.63 (define @t90 () (tptp.multiplication @t89 @t62)) % 5.42/5.63 (define @t91 () (= @t90 @t69)) % 5.42/5.63 (define @t92 () (@list @t60 @t61 @t62)) % 5.42/5.63 (define @t93 () (= @t69 @t90)) % 5.42/5.63 (define @t94 () (@list @t24)) % 5.42/5.63 (define @t95 () (tptp.addition @t66 @t82)) % 5.42/5.63 (define @t96 () (tptp.addition @t69 @t95)) % 5.42/5.63 (define @t97 () (= @t96 @t83)) % 5.42/5.63 (define @t98 () (@list @t82 @t66 @t69)) % 5.42/5.63 (define @t99 () (= @t83 @t96)) % 5.42/5.63 (define @t100 () (tptp.multiplication @t63 @t89)) % 5.42/5.63 (define @t101 () (= @t100 @t82)) % 5.42/5.63 (define @t102 () (@list @t63 @t60 @t61)) % 5.42/5.63 (define @t103 () (= @t82 @t100)) % 5.42/5.63 (define @t104 () (tptp.addition @t62 @t63)) % 5.42/5.63 (define @t105 () (tptp.multiplication @t104 @t60)) % 5.42/5.63 (define @t106 () (tptp.addition @t66 @t65)) % 5.42/5.63 (define @t107 () (= @t105 @t106)) % 5.42/5.63 (define @t108 () (@list @t62 @t63 @t60)) % 5.42/5.63 (define @t109 () (= @t106 @t105)) % 5.42/5.63 (define @t110 () (forall @t32 (not (tptp.complement @t30 @t62)))) % 5.42/5.63 (define @t111 () (@quantifiers_skolemize @t110 0)) % 5.42/5.63 (define @t112 () (@list @t62 @t111)) % 5.42/5.63 (define @t113 () (@list @t62)) % 5.42/5.63 (define @t114 () (not @t110)) % 5.42/5.63 (define @t115 () (= @t74 @t114)) % 5.42/5.63 (define @t116 () (@list false false)) % 5.42/5.63 (define @t117 () (tptp.complement @t111 @t62)) % 5.42/5.63 (define @t118 () (not @t117)) % 5.42/5.63 (define @t119 () (not @t118)) % 5.42/5.63 (define @t120 () (= tptp.one (tptp.addition @t62 @t111))) % 5.42/5.63 (define @t121 () (= tptp.zero (tptp.multiplication @t111 @t62))) % 5.42/5.63 (define @t122 () (= tptp.zero (tptp.multiplication @t62 @t111))) % 5.42/5.63 (define @t123 () (and @t122 @t121 @t120)) % 5.42/5.63 (define @t124 () (= @t117 @t123)) % 5.42/5.63 (define @t125 () (not @t123)) % 5.42/5.63 (define @t126 () (@list @t123)) % 5.42/5.63 (define @t127 () (forall @t32 (not (tptp.complement @t30 @t60)))) % 5.42/5.63 (define @t128 () (@quantifiers_skolemize @t127 0)) % 5.42/5.63 (define @t129 () (@list @t60 @t128)) % 5.42/5.63 (define @t130 () (@list @t60)) % 5.42/5.63 (define @t131 () (not @t127)) % 5.42/5.63 (define @t132 () (= @t76 @t131)) % 5.42/5.63 (define @t133 () (tptp.complement @t128 @t60)) % 5.42/5.63 (define @t134 () (not @t133)) % 5.42/5.63 (define @t135 () (not @t134)) % 5.42/5.63 (define @t136 () (= tptp.one (tptp.addition @t60 @t128))) % 5.42/5.63 (define @t137 () (= tptp.zero (tptp.multiplication @t128 @t60))) % 5.42/5.63 (define @t138 () (= tptp.zero (tptp.multiplication @t60 @t128))) % 5.42/5.63 (define @t139 () (and @t138 @t137 @t136)) % 5.42/5.63 (define @t140 () (= @t133 @t139)) % 5.42/5.63 (define @t141 () (not @t139)) % 5.42/5.63 (define @t142 () (@list @t139)) % 5.42/5.63 (define @t143 () (tptp.addition @t106 @t64)) % 5.42/5.63 (define @t144 () (= @t95 @t143)) % 5.42/5.63 (define @t145 () (@list @t64 @t65 @t66)) % 5.42/5.63 (define @t146 () (= @t143 @t95)) % 5.42/5.63 (define @t147 () (tptp.addition @t60 @t104)) % 5.42/5.63 (define @t148 () (tptp.addition @t104 @t60)) % 5.42/5.63 (define @t149 () (= @t147 @t148)) % 5.42/5.63 (define @t150 () (@list @t60 @t104)) % 5.42/5.63 (define @t151 () (= @t148 @t147)) % 5.42/5.63 (define @t152 () (@list @t5)) % 5.42/5.63 (define @t153 () (tptp.multiplication @t62 @t66)) % 5.42/5.63 (define @t154 () (tptp.multiplication @t67 @t65)) % 5.42/5.63 (define @t155 () (tptp.multiplication @t68 @t65)) % 5.42/5.63 (define @t156 () (tptp.addition @t65 @t82)) % 5.42/5.63 (define @t157 () (tptp.addition @t66 @t156)) % 5.42/5.63 (define @t158 () (tptp.addition @t69 @t157)) % 5.42/5.63 (define @t159 () (tptp.addition @t70 @t156)) % 5.42/5.63 (define @t160 () (= @t158 @t159)) % 5.42/5.63 (define @t161 () (@list @t156 @t66 @t69)) % 5.42/5.63 (define @t162 () (= @t159 @t158)) % 5.42/5.63 (define @t163 () (@list @t66)) % 5.42/5.63 (define @t164 () (@list @t63)) % 5.42/5.63 (define @t165 () (tptp.multiplication @t66 @t89)) % 5.42/5.63 (define @t166 () (tptp.multiplication @t62 @t165)) % 5.42/5.63 (define @t167 () (tptp.multiplication @t153 @t89)) % 5.42/5.63 (define @t168 () (= @t166 @t167)) % 5.42/5.63 (define @t169 () (@list @t62 @t66 @t89)) % 5.42/5.63 (define @t170 () (= @t167 @t166)) % 5.42/5.63 (define @t171 () (@list @t17)) % 5.42/5.63 (define @t172 () (tptp.multiplication @t62 @t65)) % 5.42/5.63 (define @t173 () (tptp.multiplication @t61 @t172)) % 5.42/5.63 (define @t174 () (= @t173 @t154)) % 5.42/5.63 (define @t175 () (@list @t61 @t62 @t65)) % 5.42/5.63 (define @t176 () (= @t154 @t173)) % 5.42/5.63 (define @t177 () (tptp.multiplication @t60 @t172)) % 5.42/5.63 (define @t178 () (= @t177 @t155)) % 5.42/5.63 (define @t179 () (@list @t60 @t62 @t65)) % 5.42/5.63 (define @t180 () (= @t155 @t177)) % 5.42/5.63 (define @t181 () (tptp.multiplication @t60 @t61)) % 5.42/5.63 (define @t182 () (tptp.multiplication @t62 @t181)) % 5.42/5.63 (define @t183 () (tptp.multiplication @t66 @t61)) % 5.42/5.63 (define @t184 () (= @t182 @t183)) % 5.42/5.63 (define @t185 () (@list @t62 @t60 @t61)) % 5.42/5.63 (define @t186 () (= @t183 @t182)) % 5.42/5.63 (define @t187 () (@list @t153)) % 5.42/5.63 (define @t188 () (@list @t61)) % 5.42/5.63 (define @t189 () (tptp.multiplication @t66 @t60)) % 5.42/5.63 (define @t190 () (= @t30 @t46)) % 5.42/5.63 (define @t191 () (= @t45 @t190)) % 5.42/5.63 (define @t192 () (tptp.complement @t62 @t111)) % 5.42/5.63 (define @t193 () (= @t192 (= @t111 @t63))) % 5.42/5.63 (define @t194 () (or @t75 @t193)) % 5.42/5.63 (define @t195 () (forall @t43 (or @t50 @t191))) % 5.42/5.63 (define @t196 () (= @t63 @t111)) % 5.42/5.63 (define @t197 () (= @t192 @t196)) % 5.42/5.63 (define @t198 () (or @t75 @t197)) % 5.42/5.63 (define @t199 () (@list @t195)) % 5.42/5.63 (define @t200 () (= tptp.one (tptp.addition @t111 @t62))) % 5.42/5.63 (define @t201 () (and @t121 @t122 @t200)) % 5.42/5.63 (define @t202 () (not @t122)) % 5.42/5.63 (define @t203 () (@list false false false)) % 5.42/5.63 (define @t204 () (= @t192 @t201)) % 5.42/5.63 (define @t205 () (tptp.complement @t60 @t128)) % 5.42/5.63 (define @t206 () (= @t205 (= @t128 @t61))) % 5.42/5.63 (define @t207 () (or @t77 @t206)) % 5.42/5.63 (define @t208 () (= @t61 @t128)) % 5.42/5.63 (define @t209 () (= @t205 @t208)) % 5.42/5.63 (define @t210 () (or @t77 @t209)) % 5.42/5.63 (define @t211 () (= tptp.one (tptp.addition @t128 @t60))) % 5.42/5.63 (define @t212 () (and @t137 @t138 @t211)) % 5.42/5.63 (define @t213 () (not @t138)) % 5.42/5.63 (define @t214 () (= @t205 @t212)) % 5.42/5.63 (define @t215 () (tptp.multiplication @t69 @t63)) % 5.42/5.63 (define @t216 () (tptp.addition @t95 @t65)) % 5.42/5.63 (define @t217 () (tptp.addition @t64 @t64)) % 5.42/5.63 (define @t218 () (tptp.addition @t60 @t153)) % 5.42/5.63 (define @t219 () (tptp.addition @t153 @t60)) % 5.42/5.63 (define @t220 () (= @t218 @t219)) % 5.42/5.63 (define @t221 () (@list @t60 @t153)) % 5.42/5.63 (define @t222 () (= @t219 @t218)) % 5.42/5.63 (define @t223 () (tptp.multiplication @t62 @t189)) % 5.42/5.63 (define @t224 () (tptp.multiplication @t62 @t183)) % 5.42/5.63 (define @t225 () (tptp.multiplication @t69 @t65)) % 5.42/5.63 (define @t226 () (tptp.addition @t63 @t62)) % 5.42/5.63 (define @t227 () (tptp.multiplication @t96 @t61)) % 5.42/5.63 (define @t228 () (tptp.multiplication @t96 @t60)) % 5.42/5.63 (define @t229 () (tptp.addition @t228 @t227)) % 5.42/5.63 (define @t230 () (tptp.multiplication @t96 @t89)) % 5.42/5.63 (define @t231 () (= @t230 @t229)) % 5.42/5.63 (define @t232 () (not @t231)) % 5.42/5.63 (define @t233 () (tptp.multiplication @t226 @t104)) % 5.42/5.63 (define @t234 () (tptp.multiplication @t60 @t104)) % 5.42/5.63 (define @t235 () (tptp.addition @t234 @t233)) % 5.42/5.63 (define @t236 () (= (tptp.multiplication (tptp.addition @t60 @t226) @t104) @t235)) % 5.42/5.63 (define @t237 () (not @t236)) % 5.42/5.63 (define @t238 () (tptp.multiplication @t89 @t218)) % 5.42/5.63 (define @t239 () (tptp.multiplication @t153 @t218)) % 5.42/5.63 (define @t240 () (tptp.addition @t239 @t238)) % 5.42/5.63 (define @t241 () (tptp.addition @t153 @t89)) % 5.42/5.63 (define @t242 () (= (tptp.multiplication @t241 @t218) @t240)) % 5.42/5.63 (define @t243 () (not @t242)) % 5.42/5.63 (define @t244 () (tptp.multiplication @t89 @t61)) % 5.42/5.63 (define @t245 () (tptp.multiplication @t153 @t61)) % 5.42/5.63 (define @t246 () (tptp.addition @t245 @t244)) % 5.42/5.63 (define @t247 () (= (tptp.multiplication @t241 @t61) @t246)) % 5.42/5.63 (define @t248 () (not @t247)) % 5.42/5.63 (define @t249 () (= @t61 (tptp.addition @t61 tptp.zero))) % 5.42/5.63 (define @t250 () (not @t249)) % 5.42/5.63 (define @t251 () (tptp.addition @t189 tptp.zero)) % 5.42/5.63 (define @t252 () (= @t189 @t251)) % 5.42/5.63 (define @t253 () (not @t252)) % 5.42/5.63 (define @t254 () (tptp.addition @t223 @t224)) % 5.42/5.63 (define @t255 () (tptp.addition @t254 @t225)) % 5.42/5.63 (define @t256 () (= (tptp.addition @t223 (tptp.addition @t224 @t225)) @t255)) % 5.42/5.63 (define @t257 () (not @t256)) % 5.42/5.63 (define @t258 () (tptp.addition @t95 @t82)) % 5.42/5.63 (define @t259 () (= @t258 (tptp.addition @t216 @t64))) % 5.42/5.63 (define @t260 () (not @t259)) % 5.42/5.63 (define @t261 () (tptp.addition @t66 @t63)) % 5.42/5.63 (define @t262 () (tptp.addition @t261 @t65)) % 5.42/5.63 (define @t263 () (= (tptp.addition @t66 (tptp.addition @t63 @t65)) @t262)) % 5.42/5.63 (define @t264 () (not @t263)) % 5.42/5.63 (define @t265 () (tptp.addition @t217 @t216)) % 5.42/5.63 (define @t266 () (= @t265 (tptp.addition (tptp.addition @t217 @t95) @t65))) % 5.42/5.63 (define @t267 () (not @t266)) % 5.42/5.63 (define @t268 () (tptp.addition @t66 @t66)) % 5.42/5.63 (define @t269 () (tptp.addition @t268 @t65)) % 5.42/5.63 (define @t270 () (= (tptp.addition @t66 @t106) @t269)) % 5.42/5.63 (define @t271 () (not @t270)) % 5.42/5.63 (define @t272 () (tptp.addition @t104 @t66)) % 5.42/5.63 (define @t273 () (tptp.addition @t272 @t65)) % 5.42/5.63 (define @t274 () (= (tptp.addition @t104 @t106) @t273)) % 5.42/5.63 (define @t275 () (not @t274)) % 5.42/5.63 (define @t276 () (not @t222)) % 5.42/5.63 (define @t277 () (tptp.addition @t216 @t217)) % 5.42/5.63 (define @t278 () (= @t265 @t277)) % 5.42/5.63 (define @t279 () (not @t278)) % 5.42/5.63 (define @t280 () (tptp.addition @t66 @t60)) % 5.42/5.63 (define @t281 () (= @t280 (tptp.addition @t60 @t66))) % 5.42/5.63 (define @t282 () (not @t281)) % 5.42/5.63 (define @t283 () (tptp.addition @t61 @t215)) % 5.42/5.63 (define @t284 () (= (tptp.addition @t215 @t61) @t283)) % 5.42/5.63 (define @t285 () (not @t284)) % 5.42/5.63 (define @t286 () (not @t208)) % 5.42/5.63 (define @t287 () (not @t196)) % 5.42/5.63 (define @t288 () (tptp.multiplication tptp.zero @t60)) % 5.42/5.63 (define @t289 () (= tptp.zero @t288)) % 5.42/5.63 (define @t290 () (not @t289)) % 5.42/5.63 (define @t291 () (tptp.multiplication @t62 tptp.zero)) % 5.42/5.63 (define @t292 () (= tptp.zero @t291)) % 5.42/5.63 (define @t293 () (not @t292)) % 5.42/5.63 (define @t294 () (= tptp.zero (tptp.multiplication @t61 tptp.zero))) % 5.42/5.63 (define @t295 () (not @t294)) % 5.42/5.63 (define @t296 () (tptp.multiplication @t60 tptp.zero)) % 5.42/5.63 (define @t297 () (= tptp.zero @t296)) % 5.42/5.63 (define @t298 () (not @t297)) % 5.42/5.63 (define @t299 () (tptp.addition @t154 @t154)) % 5.42/5.63 (define @t300 () (tptp.addition @t67 @t67)) % 5.42/5.63 (define @t301 () (= (tptp.multiplication @t300 @t65) @t299)) % 5.42/5.63 (define @t302 () (not @t301)) % 5.42/5.63 (define @t303 () (tptp.multiplication @t104 @t153)) % 5.42/5.63 (define @t304 () (tptp.addition @t105 @t303)) % 5.42/5.63 (define @t305 () (= (tptp.multiplication @t104 @t218) @t304)) % 5.42/5.63 (define @t306 () (not @t305)) % 5.42/5.63 (define @t307 () (tptp.multiplication @t89 @t60)) % 5.42/5.63 (define @t308 () (tptp.multiplication @t89 @t153)) % 5.42/5.63 (define @t309 () (tptp.addition @t308 @t307)) % 5.42/5.63 (define @t310 () (tptp.multiplication @t89 @t219)) % 5.42/5.63 (define @t311 () (= @t310 @t309)) % 5.42/5.63 (define @t312 () (not @t311)) % 5.42/5.63 (define @t313 () (tptp.addition @t189 @t183)) % 5.42/5.63 (define @t314 () (tptp.multiplication @t62 @t313)) % 5.42/5.63 (define @t315 () (= @t314 @t254)) % 5.42/5.63 (define @t316 () (not @t315)) % 5.42/5.63 (define @t317 () (tptp.multiplication tptp.one @t153)) % 5.42/5.63 (define @t318 () (= @t153 @t317)) % 5.42/5.63 (define @t319 () (not @t318)) % 5.42/5.63 (define @t320 () (= @t66 (tptp.multiplication tptp.one @t66))) % 5.42/5.63 (define @t321 () (not @t320)) % 5.42/5.63 (define @t322 () (= @t61 (tptp.multiplication tptp.one @t61))) % 5.42/5.63 (define @t323 () (not @t322)) % 5.42/5.63 (define @t324 () (= @t60 (tptp.multiplication tptp.one @t60))) % 5.42/5.63 (define @t325 () (not @t324)) % 5.42/5.63 (define @t326 () (= @t62 (tptp.multiplication tptp.one @t62))) % 5.42/5.63 (define @t327 () (not @t326)) % 5.42/5.63 (define @t328 () (= @t153 (tptp.multiplication @t153 tptp.one))) % 5.42/5.63 (define @t329 () (not @t328)) % 5.42/5.63 (define @t330 () (= @t63 (tptp.multiplication @t63 tptp.one))) % 5.42/5.63 (define @t331 () (not @t330)) % 5.42/5.63 (define @t332 () (= @t89 (tptp.multiplication @t89 tptp.one))) % 5.42/5.63 (define @t333 () (not @t332)) % 5.42/5.63 (define @t334 () (= @t66 (tptp.multiplication @t66 tptp.one))) % 5.42/5.63 (define @t335 () (not @t334)) % 5.42/5.63 (define @t336 () (= @t60 (tptp.multiplication @t60 tptp.one))) % 5.42/5.63 (define @t337 () (not @t336)) % 5.42/5.63 (define @t338 () (= @t62 (tptp.multiplication @t62 tptp.one))) % 5.42/5.63 (define @t339 () (not @t338)) % 5.42/5.63 (define @t340 () (not @t186)) % 5.42/5.63 (define @t341 () (not @t180)) % 5.42/5.63 (define @t342 () (not @t176)) % 5.42/5.63 (define @t343 () (tptp.multiplication @t62 @t104)) % 5.42/5.63 (define @t344 () (tptp.multiplication @t343 @t60)) % 5.42/5.63 (define @t345 () (= (tptp.multiplication @t62 @t105) @t344)) % 5.42/5.63 (define @t346 () (not @t345)) % 5.42/5.63 (define @t347 () (tptp.multiplication @t62 @t63)) % 5.42/5.63 (define @t348 () (= @t172 (tptp.multiplication @t347 @t60))) % 5.42/5.63 (define @t349 () (not @t348)) % 5.42/5.63 (define @t350 () (not @t170)) % 5.42/5.63 (define @t351 () (= @t63 (tptp.addition @t63 @t63))) % 5.42/5.63 (define @t352 () (not @t351)) % 5.42/5.63 (define @t353 () (= @t66 @t268)) % 5.42/5.63 (define @t354 () (not @t353)) % 5.42/5.63 (define @t355 () (tptp.addition @t64 @t65)) % 5.42/5.63 (define @t356 () (tptp.addition @t71 @t355)) % 5.42/5.63 (define @t357 () (= @t356 (tptp.addition @t72 @t65))) % 5.42/5.63 (define @t358 () (not @t357)) % 5.42/5.63 (define @t359 () (not @t162)) % 5.42/5.63 (define @t360 () (tptp.addition @t82 @t82)) % 5.42/5.63 (define @t361 () (tptp.addition @t66 @t360)) % 5.42/5.63 (define @t362 () (= @t361 @t258)) % 5.42/5.63 (define @t363 () (not @t362)) % 5.42/5.63 (define @t364 () (tptp.addition @t70 @t63)) % 5.42/5.63 (define @t365 () (= (tptp.addition @t69 @t261) @t364)) % 5.42/5.63 (define @t366 () (not @t365)) % 5.42/5.63 (define @t367 () (tptp.addition @t64 @t106)) % 5.42/5.63 (define @t368 () (tptp.addition @t64 @t367)) % 5.42/5.63 (define @t369 () (= @t368 (tptp.addition @t217 @t106))) % 5.42/5.63 (define @t370 () (not @t369)) % 5.42/5.63 (define @t371 () (tptp.addition @t63 @t69)) % 5.42/5.63 (define @t372 () (tptp.addition @t371 @t66)) % 5.42/5.63 (define @t373 () (= (tptp.addition @t63 @t70) @t372)) % 5.42/5.63 (define @t374 () (not @t373)) % 5.42/5.63 (define @t375 () (tptp.addition @t155 @t154)) % 5.42/5.63 (define @t376 () (= @t375 (tptp.addition @t154 @t155))) % 5.42/5.63 (define @t377 () (not @t376)) % 5.42/5.63 (define @t378 () (tptp.addition @t71 @t82)) % 5.42/5.63 (define @t379 () (= @t378 (tptp.addition @t82 @t71))) % 5.42/5.63 (define @t380 () (not @t379)) % 5.42/5.63 (define @t381 () (tptp.addition @t82 @t65)) % 5.42/5.63 (define @t382 () (= @t156 @t381)) % 5.42/5.63 (define @t383 () (not @t382)) % 5.42/5.63 (define @t384 () (tptp.addition @t96 @t65)) % 5.42/5.63 (define @t385 () (tptp.addition @t65 @t96)) % 5.42/5.63 (define @t386 () (= @t385 @t384)) % 5.42/5.63 (define @t387 () (not @t386)) % 5.42/5.63 (define @t388 () (= (tptp.addition @t89 @t153) @t241)) % 5.42/5.63 (define @t389 () (not @t388)) % 5.42/5.63 (define @t390 () (not @t151)) % 5.42/5.63 (define @t391 () (= @t225 @t375)) % 5.42/5.63 (define @t392 () (not @t391)) % 5.42/5.63 (define @t393 () (= @t165 @t313)) % 5.42/5.63 (define @t394 () (not @t393)) % 5.42/5.63 (define @t395 () (tptp.multiplication @t69 @t66)) % 5.42/5.63 (define @t396 () (tptp.multiplication @t69 @t106)) % 5.42/5.63 (define @t397 () (= @t396 (tptp.addition @t395 @t225))) % 5.42/5.63 (define @t398 () (not @t397)) % 5.42/5.63 (define @t399 () (tptp.multiplication @t62 @t106)) % 5.42/5.63 (define @t400 () (tptp.multiplication @t89 @t399)) % 5.42/5.63 (define @t401 () (= @t400 (tptp.multiplication @t90 @t106))) % 5.42/5.63 (define @t402 () (not @t401)) % 5.42/5.63 (define @t403 () (tptp.multiplication (tptp.multiplication @t62 @t62) @t60)) % 5.42/5.63 (define @t404 () (= @t153 @t403)) % 5.42/5.63 (define @t405 () (not @t404)) % 5.42/5.63 (define @t406 () (= @t64 @t217)) % 5.42/5.63 (define @t407 () (not @t406)) % 5.42/5.63 (define @t408 () (= @t67 @t300)) % 5.42/5.63 (define @t409 () (not @t408)) % 5.42/5.63 (define @t410 () (= @t159 @t378)) % 5.42/5.63 (define @t411 () (not @t410)) % 5.42/5.63 (define @t412 () (not @t146)) % 5.42/5.63 (define @t413 () (tptp.addition (tptp.addition @t65 @t69) @t95)) % 5.42/5.63 (define @t414 () (= @t385 @t413)) % 5.42/5.63 (define @t415 () (not @t414)) % 5.42/5.63 (define @t416 () (= @t143 @t367)) % 5.42/5.63 (define @t417 () (not @t416)) % 5.42/5.63 (define @t418 () (= @t104 @t226)) % 5.42/5.63 (define @t419 () (not @t418)) % 5.42/5.63 (define @t420 () (not @t136)) % 5.42/5.63 (define @t421 () (not @t120)) % 5.42/5.63 (define @t422 () (not @t109)) % 5.42/5.63 (define @t423 () (not @t103)) % 5.42/5.63 (define @t424 () (tptp.multiplication @t90 @t66)) % 5.42/5.63 (define @t425 () (= @t308 @t424)) % 5.42/5.63 (define @t426 () (not @t425)) % 5.42/5.63 (define @t427 () (not @t99)) % 5.42/5.63 (define @t428 () (= @t82 @t355)) % 5.42/5.63 (define @t429 () (not @t428)) % 5.42/5.63 (define @t430 () (tptp.addition @t82 @t70)) % 5.42/5.63 (define @t431 () (= @t83 @t430)) % 5.42/5.63 (define @t432 () (not @t431)) % 5.42/5.63 (define @t433 () (tptp.addition @t61 @t60)) % 5.42/5.63 (define @t434 () (= @t89 @t433)) % 5.42/5.63 (define @t435 () (not @t434)) % 5.42/5.63 (define @t436 () (not @t93)) % 5.42/5.63 (define @t437 () (not @t86)) % 5.42/5.63 (define @t438 () (= @t229 @t230)) % 5.42/5.63 (define @t439 () (not @t438)) % 5.42/5.63 (define @t440 () (tptp.addition @t63 @t82)) % 5.42/5.63 (define @t441 () (= tptp.one @t413)) % 5.42/5.63 (define @t442 () (tptp.multiplication @t433 @t62)) % 5.42/5.63 (define @t443 () (tptp.addition @t89 @t106)) % 5.42/5.63 (define @t444 () (tptp.multiplication @t226 @t89)) % 5.42/5.63 (define @t445 () (tptp.multiplication @t69 @t82)) % 5.42/5.63 (define @t446 () (tptp.multiplication @t268 @t61)) % 5.42/5.63 (define @t447 () (tptp.addition @t395 @t375)) % 5.42/5.63 (define @t448 () (tptp.addition @t395 @t155)) % 5.42/5.63 (define @t449 () (tptp.multiplication @t403 @t89)) % 5.42/5.63 (define @t450 () (tptp.addition @t89 @t254)) % 5.42/5.63 (define @t451 () (tptp.addition @t89 @t66)) % 5.42/5.63 (define @t452 () (tptp.multiplication @t153 @t104)) % 5.42/5.63 (define @t453 () (tptp.addition @t234 @t452)) % 5.42/5.63 (define @t454 () (tptp.multiplication @t399 @t89)) % 5.42/5.63 (define @t455 () (tptp.multiplication @t153 @t234)) % 5.42/5.63 (define @t456 () (tptp.multiplication @t153 @t60)) % 5.42/5.63 (define @t457 () (tptp.multiplication @t153 @t219)) % 5.42/5.63 (define @t458 () (tptp.addition @t457 @t310)) % 5.42/5.63 (define @t459 () (and @t231 @t232)) % 5.42/5.63 (assume @p1 @t5) % 5.42/5.63 (assume @p2 @t8) % 5.42/5.63 (assume @p3 @t11) % 5.42/5.63 (assume @p4 @t13) % 5.42/5.63 (assume @p5 @t17) % 5.42/5.63 (assume @p6 @t19) % 5.42/5.63 (assume @p7 @t21) % 5.42/5.63 (assume @p8 @t23) % 5.42/5.63 (assume @p9 @t24) % 5.42/5.63 (assume @p10 @t26) % 5.42/5.63 (assume @p11 @t28) % 5.42/5.63 (assume @p12 (forall @t4 (= (tptp.leq @t1 @t2) (= @t3 @t2)))) % 5.42/5.63 (assume @p13 @t37) % 5.42/5.63 (assume @p14 @t44) % 5.42/5.63 (assume @p15 @t49) % 5.42/5.63 (assume @p16 (forall @t36 (=> @t50 (= @t46 tptp.zero)))) % 5.42/5.63 (assume @p17 @t56) % 5.42/5.63 (assume @p18 true) % 5.42/5.63 (step @p19 :rule aci_norm :args ((= (or (or @t57 @t50) @t52) @t58))) % 5.42/5.63 (step @p20 :rule refl :args (@t52)) % 5.42/5.63 (step @p21 :rule bool-and-de-morgan :args (@t53 @t34 true)) % 5.42/5.63 (step @p22 :rule nary_cong :premises (@p21 @p20) :args ((or (not @t54) @t52))) % 5.42/5.63 (step @p23 :rule trans :premises (@p22 @p19)) % 5.42/5.63 (step @p24 :rule bool-impl-elim :args (@t54 @t52)) % 5.42/5.63 (step @p25 :rule trans :premises (@p24 @p23)) % 5.42/5.63 (step @p26 :rule cong :premises (@p25) :args (@t55)) % 5.42/5.63 (step @p27 :rule cong :premises (@p26) :args (@t56)) % 5.42/5.63 (step @p28 :rule eq_resolve :premises (@p17 @p27)) % 5.42/5.63 (step @p29 :rule skolemize :premises (@p28)) % 5.42/5.63 (step @p30 :rule cnf_or_neg :args (@t78 2)) % 5.42/5.63 (step @p31 :rule chain_m_resolution :premises (@p30 @p29) :args (@t79 @t80 @t81)) % 5.42/5.63 (step @p32 :rule eq-symm :args (@t83 @t72)) % 5.42/5.63 (step @p33 :rule refl :args (@t8)) % 5.42/5.63 (step @p34 :rule cong :premises (@p33 @p32) :args ((=> @t8 @t84))) % 5.42/5.63 (assume-push @p949 @t8) % 5.42/5.63 (step @p36 :rule instantiate :premises (@p2) :args (@t85)) % 5.42/5.63 (step-pop @p950 :rule scope :premises (@p36)) % 5.42/5.63 (step @p37 :rule process_scope :premises (@p950) :args (@t84)) % 5.42/5.63 (step @p39 :rule eq_resolve :premises (@p37 @p34)) % 5.42/5.63 (step @p40 :rule implies_elim :premises (@p39)) % 5.42/5.63 (step @p41 :rule chain_m_resolution :premises (@p40 @p2) :args (@t86 @t87 @t88)) % 5.42/5.63 (step @p42 :rule eq-symm :args (@t90 @t69)) % 5.42/5.63 (step @p43 :rule refl :args (@t24)) % 5.42/5.63 (step @p44 :rule cong :premises (@p43 @p42) :args ((=> @t24 @t91))) % 5.42/5.63 (assume-push @p951 @t24) % 5.42/5.63 (step @p46 :rule instantiate :premises (@p9) :args (@t92)) % 5.42/5.63 (step-pop @p952 :rule scope :premises (@p46)) % 5.42/5.63 (step @p47 :rule process_scope :premises (@p952) :args (@t91)) % 5.42/5.63 (step @p49 :rule eq_resolve :premises (@p47 @p44)) % 5.42/5.63 (step @p50 :rule implies_elim :premises (@p49)) % 5.42/5.63 (step @p51 :rule chain_m_resolution :premises (@p50 @p9) :args (@t93 @t87 @t94)) % 5.42/5.63 (step @p52 :rule instantiate :premises (@p1) :args ((@list @t60 @t61))) % 5.42/5.63 (step @p53 :rule instantiate :premises (@p1) :args ((@list @t70 @t82))) % 5.42/5.63 (step @p54 :rule instantiate :premises (@p1) :args ((@list @t65 @t64))) % 5.42/5.63 (step @p55 :rule eq-symm :args (@t96 @t83)) % 5.42/5.63 (step @p56 :rule cong :premises (@p33 @p55) :args ((=> @t8 @t97))) % 5.42/5.63 (assume-push @p953 @t8) % 5.42/5.63 (step @p58 :rule instantiate :premises (@p2) :args (@t98)) % 5.42/5.63 (step-pop @p954 :rule scope :premises (@p58)) % 5.42/5.63 (step @p59 :rule process_scope :premises (@p954) :args (@t97)) % 5.42/5.63 (step @p61 :rule eq_resolve :premises (@p59 @p56)) % 5.42/5.63 (step @p62 :rule implies_elim :premises (@p61)) % 5.42/5.63 (step @p63 :rule chain_m_resolution :premises (@p62 @p2) :args (@t99 @t87 @t88)) % 5.42/5.63 (step @p64 :rule instantiate :premises (@p5) :args ((@list @t89 @t62 @t66))) % 5.42/5.63 (step @p65 :rule eq-symm :args (@t100 @t82)) % 5.42/5.63 (step @p66 :rule refl :args (@t23)) % 5.42/5.63 (step @p67 :rule cong :premises (@p66 @p65) :args ((=> @t23 @t101))) % 5.42/5.63 (assume-push @p955 @t23) % 5.42/5.63 (step @p69 :rule instantiate :premises (@p8) :args (@t102)) % 5.42/5.63 (step-pop @p956 :rule scope :premises (@p69)) % 5.42/5.63 (step @p70 :rule process_scope :premises (@p956) :args (@t101)) % 5.42/5.63 (step @p72 :rule eq_resolve :premises (@p70 @p67)) % 5.42/5.63 (step @p73 :rule implies_elim :premises (@p72)) % 5.42/5.63 (step @p74 :rule chain_m_resolution :premises (@p73 @p8) :args (@t103 @t87 (@list @t23))) % 5.42/5.63 (step @p75 :rule eq-symm :args (@t105 @t106)) % 5.42/5.63 (step @p76 :rule cong :premises (@p43 @p75) :args ((=> @t24 @t107))) % 5.42/5.63 (assume-push @p957 @t24) % 5.42/5.63 (step @p78 :rule instantiate :premises (@p9) :args (@t108)) % 5.42/5.63 (step-pop @p958 :rule scope :premises (@p78)) % 5.42/5.63 (step @p79 :rule process_scope :premises (@p958) :args (@t107)) % 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false false false false false false false false false false false false true) (@list @t231 @t236 @t242 @t247 @t249 @t252 @t256 @t259 @t263 @t266 @t270 @t274 @t222 @t278 @t281 @t284 @t208 @t196 @t289 @t292 @t294 @t297 @t301 @t305 @t311 @t315 @t318 @t320 @t322 @t324 @t326 @t328 @t330 @t332 @t334 @t336 @t338 @t186 @t180 @t176 @t345 @t348 @t170 @t351 @t353 @t357 @t162 @t362 @t365 @t369 @t373 @t376 @t379 @t382 @t386 @t388 @t151 @t391 @t393 @t397 @t401 @t404 @t406 @t408 @t410 @t146 @t414 @t416 @t418 @t136 @t138 @t120 @t122 @t109 @t103 @t425 @t99 @t428 @t431 @t434 @t93 @t86 @t73))) % 5.42/5.65 ) % 5.42/5.65 % SZS output end Proof % 5.42/5.65 % cvc5 exiting %------------------------------------------------------------------------------