%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE011+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 : n008.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 08:28:04 AM UTC 2026 % Result : Theorem 1.97s 2.19s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE011+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n008.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 05:10:03 EDT 2026 % 0.19/0.35 % CPUTime : % 0.35/0.50 %----Proving TF0_NAR, FOF, or CNF % 1.97/2.19 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.97/2.19 % SZS status Theorem % 1.97/2.19 % SZS output start Proof % 1.97/2.19 ( % 1.97/2.19 (declare-sort $$unsorted 0) % 1.97/2.19 (declare-const tptp.c (-> $$unsorted $$unsorted)) % 1.97/2.19 (declare-const tptp.test (-> $$unsorted Bool)) % 1.97/2.19 (declare-const tptp.complement (-> $$unsorted $$unsorted Bool)) % 1.97/2.19 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 1.97/2.19 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 1.97/2.19 (declare-const tptp.zero $$unsorted) % 1.97/2.19 (declare-const tptp.one $$unsorted) % 1.97/2.19 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 1.97/2.19 (define @t1 () (@var "A" $$unsorted)) % 1.97/2.19 (define @t2 () (@var "B" $$unsorted)) % 1.97/2.19 (define @t3 () (tptp.addition @t1 @t2)) % 1.97/2.19 (define @t4 () (@list @t1 @t2)) % 1.97/2.19 (define @t5 () (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 1.97/2.19 (define @t6 () (@var "C" $$unsorted)) % 1.97/2.19 (define @t7 () (tptp.addition @t2 @t6)) % 1.97/2.19 (define @t8 () (forall (@list @t6 @t2 @t1) (= (tptp.addition @t1 @t7) (tptp.addition @t3 @t6)))) % 1.97/2.19 (define @t9 () (tptp.addition @t1 tptp.zero)) % 1.97/2.19 (define @t10 () (@list @t1)) % 1.97/2.19 (define @t11 () (forall @t10 (= @t9 @t1))) % 1.97/2.19 (define @t12 () (tptp.addition @t1 @t1)) % 1.97/2.19 (define @t13 () (forall @t10 (= @t12 @t1))) % 1.97/2.19 (define @t14 () (tptp.multiplication @t1 @t2)) % 1.97/2.19 (define @t15 () (tptp.multiplication @t2 @t6)) % 1.97/2.19 (define @t16 () (@list @t1 @t2 @t6)) % 1.97/2.19 (define @t17 () (forall @t16 (= (tptp.multiplication @t1 @t15) (tptp.multiplication @t14 @t6)))) % 1.97/2.19 (define @t18 () (tptp.multiplication @t1 tptp.one)) % 1.97/2.19 (define @t19 () (forall @t10 (= @t18 @t1))) % 1.97/2.19 (define @t20 () (tptp.multiplication tptp.one @t1)) % 1.97/2.19 (define @t21 () (forall @t10 (= @t20 @t1))) % 1.97/2.19 (define @t22 () (tptp.multiplication @t1 @t6)) % 1.97/2.19 (define @t23 () (forall @t16 (= (tptp.multiplication @t1 @t7) (tptp.addition @t14 @t22)))) % 1.97/2.19 (define @t24 () (tptp.multiplication @t1 tptp.zero)) % 1.97/2.19 (define @t25 () (forall @t10 (= @t24 tptp.zero))) % 1.97/2.19 (define @t26 () (tptp.multiplication tptp.zero @t1)) % 1.97/2.19 (define @t27 () (forall @t10 (= @t26 tptp.zero))) % 1.97/2.19 (define @t28 () (@var "X0" $$unsorted)) % 1.97/2.19 (define @t29 () (@var "X1" $$unsorted)) % 1.97/2.19 (define @t30 () (tptp.complement @t29 @t28)) % 1.97/2.19 (define @t31 () (@list @t29)) % 1.97/2.19 (define @t32 () (exists @t31 @t30)) % 1.97/2.19 (define @t33 () (tptp.test @t28)) % 1.97/2.19 (define @t34 () (= @t33 @t32)) % 1.97/2.19 (define @t35 () (@list @t28)) % 1.97/2.19 (define @t36 () (forall @t35 @t34)) % 1.97/2.19 (define @t37 () (tptp.addition @t28 @t29)) % 1.97/2.19 (define @t38 () (tptp.multiplication @t29 @t28)) % 1.97/2.19 (define @t39 () (tptp.multiplication @t28 @t29)) % 1.97/2.19 (define @t40 () (and (= @t39 tptp.zero) (= @t38 tptp.zero) (= @t37 tptp.one))) % 1.97/2.19 (define @t41 () (= @t30 @t40)) % 1.97/2.19 (define @t42 () (@list @t28 @t29)) % 1.97/2.19 (define @t43 () (forall @t42 @t41)) % 1.97/2.19 (define @t44 () (tptp.complement @t28 @t29)) % 1.97/2.19 (define @t45 () (tptp.c @t28)) % 1.97/2.19 (define @t46 () (= (= @t45 @t29) @t44)) % 1.97/2.19 (define @t47 () (=> @t33 @t46)) % 1.97/2.19 (define @t48 () (forall @t42 @t47)) % 1.97/2.19 (define @t49 () (not @t33)) % 1.97/2.19 (define @t50 () (tptp.c @t29)) % 1.97/2.19 (define @t51 () (= tptp.one (tptp.addition (tptp.addition (tptp.multiplication (tptp.addition @t29 @t50) @t28) (tptp.multiplication (tptp.addition @t28 @t45) @t29)) (tptp.multiplication @t45 @t50)))) % 1.97/2.19 (define @t52 () (tptp.test @t29)) % 1.97/2.19 (define @t53 () (and @t52 @t33)) % 1.97/2.19 (define @t54 () (forall @t42 (=> @t53 @t51))) % 1.97/2.19 (define @t55 () (not @t54)) % 1.97/2.19 (define @t56 () (not @t52)) % 1.97/2.19 (define @t57 () (or @t56 @t49 @t51)) % 1.97/2.19 (define @t58 () (forall @t42 @t57)) % 1.97/2.19 (define @t59 () (@quantifiers_skolemize @t58 1)) % 1.97/2.19 (define @t60 () (tptp.c @t59)) % 1.97/2.19 (define @t61 () (@quantifiers_skolemize @t58 0)) % 1.97/2.19 (define @t62 () (tptp.c @t61)) % 1.97/2.19 (define @t63 () (tptp.multiplication @t62 @t60)) % 1.97/2.19 (define @t64 () (tptp.addition @t61 @t62)) % 1.97/2.19 (define @t65 () (tptp.multiplication @t64 @t59)) % 1.97/2.19 (define @t66 () (tptp.addition @t59 @t60)) % 1.97/2.19 (define @t67 () (tptp.multiplication @t66 @t61)) % 1.97/2.19 (define @t68 () (tptp.addition (tptp.addition @t67 @t65) @t63)) % 1.97/2.19 (define @t69 () (= tptp.one @t68)) % 1.97/2.19 (define @t70 () (tptp.test @t61)) % 1.97/2.19 (define @t71 () (not @t70)) % 1.97/2.19 (define @t72 () (tptp.test @t59)) % 1.97/2.19 (define @t73 () (not @t72)) % 1.97/2.19 (define @t74 () (or @t73 @t71 @t69)) % 1.97/2.19 (define @t75 () (not @t69)) % 1.97/2.19 (define @t76 () (@list true)) % 1.97/2.19 (define @t77 () (@list @t74)) % 1.97/2.19 (define @t78 () (@list @t61 @t62)) % 1.97/2.19 (define @t79 () (@list @t59 @t60)) % 1.97/2.19 (define @t80 () (tptp.addition @t65 @t63)) % 1.97/2.19 (define @t81 () (tptp.addition @t67 @t80)) % 1.97/2.19 (define @t82 () (= @t81 @t68)) % 1.97/2.19 (define @t83 () (@list @t63 @t65 @t67)) % 1.97/2.19 (define @t84 () (= @t68 @t81)) % 1.97/2.19 (define @t85 () (@list false)) % 1.97/2.19 (define @t86 () (@list @t8)) % 1.97/2.19 (define @t87 () (tptp.addition @t61 @t66)) % 1.97/2.19 (define @t88 () (tptp.addition @t66 @t61)) % 1.97/2.19 (define @t89 () (= @t87 @t88)) % 1.97/2.19 (define @t90 () (@list @t61 @t66)) % 1.97/2.19 (define @t91 () (= @t88 @t87)) % 1.97/2.19 (define @t92 () (@list @t5)) % 1.97/2.19 (define @t93 () (tptp.multiplication @t62 @t59)) % 1.97/2.19 (define @t94 () (tptp.multiplication @t61 @t59)) % 1.97/2.19 (define @t95 () (tptp.multiplication @t60 @t61)) % 1.97/2.19 (define @t96 () (tptp.multiplication @t59 @t61)) % 1.97/2.19 (define @t97 () (tptp.addition @t62 @t59)) % 1.97/2.19 (define @t98 () (tptp.addition @t61 @t97)) % 1.97/2.19 (define @t99 () (tptp.addition @t64 @t59)) % 1.97/2.19 (define @t100 () (= @t98 @t99)) % 1.97/2.19 (define @t101 () (@list @t59 @t62 @t61)) % 1.97/2.19 (define @t102 () (= @t99 @t98)) % 1.97/2.19 (define @t103 () (forall @t31 (not (tptp.complement @t29 @t59)))) % 1.97/2.19 (define @t104 () (@quantifiers_skolemize @t103 0)) % 1.97/2.19 (define @t105 () (@list @t59 @t104)) % 1.97/2.19 (define @t106 () (@list @t59)) % 1.97/2.19 (define @t107 () (not @t103)) % 1.97/2.19 (define @t108 () (= @t72 @t107)) % 1.97/2.19 (define @t109 () (@list false false)) % 1.97/2.19 (define @t110 () (tptp.complement @t104 @t59)) % 1.97/2.19 (define @t111 () (not @t110)) % 1.97/2.19 (define @t112 () (not @t111)) % 1.97/2.19 (define @t113 () (tptp.addition @t59 @t104)) % 1.97/2.19 (define @t114 () (= tptp.one @t113)) % 1.97/2.19 (define @t115 () (= tptp.zero (tptp.multiplication @t104 @t59))) % 1.97/2.19 (define @t116 () (= tptp.zero (tptp.multiplication @t59 @t104))) % 1.97/2.19 (define @t117 () (and @t116 @t115 @t114)) % 1.97/2.19 (define @t118 () (= @t110 @t117)) % 1.97/2.19 (define @t119 () (not @t117)) % 1.97/2.19 (define @t120 () (@list @t117)) % 1.97/2.19 (define @t121 () (tptp.addition @t59 @t62)) % 1.97/2.19 (define @t122 () (= @t121 @t97)) % 1.97/2.19 (define @t123 () (@list @t59 @t62)) % 1.97/2.19 (define @t124 () (= @t97 @t121)) % 1.97/2.19 (define @t125 () (tptp.addition @t93 @t63)) % 1.97/2.19 (define @t126 () (@list @t61 @t64 @t59)) % 1.97/2.19 (define @t127 () (tptp.multiplication @t60 @t65)) % 1.97/2.19 (define @t128 () (tptp.multiplication @t62 @t127)) % 1.97/2.19 (define @t129 () (tptp.multiplication @t63 @t65)) % 1.97/2.19 (define @t130 () (= @t128 @t129)) % 1.97/2.19 (define @t131 () (@list @t62 @t60 @t65)) % 1.97/2.19 (define @t132 () (= @t129 @t128)) % 1.97/2.19 (define @t133 () (@list @t17)) % 1.97/2.19 (define @t134 () (tptp.multiplication @t61 @t94)) % 1.97/2.19 (define @t135 () (tptp.multiplication @t66 @t134)) % 1.97/2.19 (define @t136 () (tptp.multiplication @t67 @t94)) % 1.97/2.19 (define @t137 () (= @t135 @t136)) % 1.97/2.19 (define @t138 () (@list @t66 @t61 @t94)) % 1.97/2.19 (define @t139 () (= @t136 @t135)) % 1.97/2.19 (define @t140 () (tptp.multiplication @t61 @t64)) % 1.97/2.19 (define @t141 () (tptp.multiplication @t66 @t140)) % 1.97/2.19 (define @t142 () (tptp.multiplication @t67 @t64)) % 1.97/2.19 (define @t143 () (= @t141 @t142)) % 1.97/2.19 (define @t144 () (@list @t66 @t61 @t64)) % 1.97/2.19 (define @t145 () (= @t142 @t141)) % 1.97/2.19 (define @t146 () (tptp.multiplication @t62 @t66)) % 1.97/2.19 (define @t147 () (= @t146 @t125)) % 1.97/2.19 (define @t148 () (@list @t62 @t59 @t60)) % 1.97/2.19 (define @t149 () (= @t125 @t146)) % 1.97/2.19 (define @t150 () (= @t29 @t45)) % 1.97/2.19 (define @t151 () (= @t44 @t150)) % 1.97/2.19 (define @t152 () (tptp.complement @t61 @t62)) % 1.97/2.19 (define @t153 () (= @t152 (= @t62 @t62))) % 1.97/2.19 (define @t154 () (or @t71 @t153)) % 1.97/2.19 (define @t155 () (forall @t42 (or @t49 @t151))) % 1.97/2.19 (define @t156 () (or @t71 @t152)) % 1.97/2.19 (define @t157 () (@list @t155)) % 1.97/2.19 (define @t158 () (tptp.addition @t62 @t61)) % 1.97/2.19 (define @t159 () (= tptp.one @t158)) % 1.97/2.19 (define @t160 () (tptp.multiplication @t61 @t62)) % 1.97/2.19 (define @t161 () (= tptp.zero @t160)) % 1.97/2.19 (define @t162 () (and (= tptp.zero (tptp.multiplication @t62 @t61)) @t161 @t159)) % 1.97/2.19 (define @t163 () (= @t152 @t162)) % 1.97/2.19 (define @t164 () (not @t162)) % 1.97/2.19 (define @t165 () (@list @t162)) % 1.97/2.19 (define @t166 () (tptp.complement @t59 @t60)) % 1.97/2.19 (define @t167 () (= @t166 (= @t60 @t60))) % 1.97/2.19 (define @t168 () (or @t73 @t167)) % 1.97/2.19 (define @t169 () (or @t73 @t166)) % 1.97/2.19 (define @t170 () (tptp.addition @t60 @t59)) % 1.97/2.19 (define @t171 () (= tptp.one @t170)) % 1.97/2.19 (define @t172 () (= tptp.zero (tptp.multiplication @t60 @t59))) % 1.97/2.19 (define @t173 () (and @t172 (= tptp.zero (tptp.multiplication @t59 @t60)) @t171)) % 1.97/2.19 (define @t174 () (= @t166 @t173)) % 1.97/2.19 (define @t175 () (not @t173)) % 1.97/2.19 (define @t176 () (@list @t173)) % 1.97/2.19 (define @t177 () (tptp.multiplication @t61 @t93)) % 1.97/2.19 (define @t178 () (tptp.addition @t67 @t94)) % 1.97/2.19 (define @t179 () (tptp.multiplication @t63 @t64)) % 1.97/2.19 (define @t180 () (@list @t61)) % 1.97/2.19 (define @t181 () (@list @t63)) % 1.97/2.19 (define @t182 () (@list @t62)) % 1.97/2.19 (define @t183 () (tptp.multiplication @t67 @t62)) % 1.97/2.19 (define @t184 () (tptp.complement @t59 @t104)) % 1.97/2.19 (define @t185 () (= @t184 (= @t104 @t60))) % 1.97/2.19 (define @t186 () (or @t73 @t185)) % 1.97/2.19 (define @t187 () (= @t60 @t104)) % 1.97/2.19 (define @t188 () (= @t184 @t187)) % 1.97/2.19 (define @t189 () (or @t73 @t188)) % 1.97/2.19 (define @t190 () (tptp.addition @t104 @t59)) % 1.97/2.19 (define @t191 () (= tptp.one @t190)) % 1.97/2.19 (define @t192 () (and @t115 @t116 @t191)) % 1.97/2.19 (define @t193 () (= @t184 @t192)) % 1.97/2.19 (define @t194 () (tptp.multiplication @t142 @t59)) % 1.97/2.19 (define @t195 () (tptp.multiplication @t61 @t60)) % 1.97/2.19 (define @t196 () (tptp.addition @t195 @t194)) % 1.97/2.19 (define @t197 () (tptp.addition @t196 @t94)) % 1.97/2.19 (define @t198 () (tptp.addition @t194 @t94)) % 1.97/2.19 (define @t199 () (= (tptp.addition @t195 @t198) @t197)) % 1.97/2.19 (define @t200 () (not @t199)) % 1.97/2.19 (define @t201 () (tptp.addition @t93 @t194)) % 1.97/2.19 (define @t202 () (tptp.addition @t201 @t94)) % 1.97/2.19 (define @t203 () (tptp.addition @t93 @t198)) % 1.97/2.19 (define @t204 () (= @t203 @t202)) % 1.97/2.19 (define @t205 () (not @t204)) % 1.97/2.19 (define @t206 () (tptp.addition @t59 @t93)) % 1.97/2.19 (define @t207 () (tptp.addition @t206 @t63)) % 1.97/2.19 (define @t208 () (tptp.addition @t59 @t125)) % 1.97/2.19 (define @t209 () (= @t208 @t207)) % 1.97/2.19 (define @t210 () (not @t209)) % 1.97/2.19 (define @t211 () (tptp.addition @t94 @t93)) % 1.97/2.19 (define @t212 () (tptp.addition @t211 @t93)) % 1.97/2.19 (define @t213 () (tptp.addition @t93 @t93)) % 1.97/2.19 (define @t214 () (tptp.addition @t94 @t213)) % 1.97/2.19 (define @t215 () (= @t214 @t212)) % 1.97/2.19 (define @t216 () (not @t215)) % 1.97/2.19 (define @t217 () (= @t62 (tptp.multiplication @t62 tptp.one))) % 1.97/2.19 (define @t218 () (not @t217)) % 1.97/2.19 (define @t219 () (= @t93 @t213)) % 1.97/2.19 (define @t220 () (not @t219)) % 1.97/2.19 (define @t221 () (tptp.addition @t66 @t66)) % 1.97/2.19 (define @t222 () (= @t66 @t221)) % 1.97/2.19 (define @t223 () (not @t222)) % 1.97/2.19 (define @t224 () (tptp.addition @t136 tptp.zero)) % 1.97/2.19 (define @t225 () (= @t136 @t224)) % 1.97/2.19 (define @t226 () (not @t225)) % 1.97/2.19 (define @t227 () (not @t187)) % 1.97/2.19 (define @t228 () (tptp.multiplication tptp.zero @t63)) % 1.97/2.19 (define @t229 () (= tptp.zero @t228)) % 1.97/2.19 (define @t230 () (not @t229)) % 1.97/2.19 (define @t231 () (tptp.multiplication @t183 tptp.zero)) % 1.97/2.19 (define @t232 () (= tptp.zero @t231)) % 1.97/2.19 (define @t233 () (not @t232)) % 1.97/2.19 (define @t234 () (= tptp.zero (tptp.multiplication @t62 tptp.zero))) % 1.97/2.19 (define @t235 () (not @t234)) % 1.97/2.19 (define @t236 () (tptp.addition @t94 @t194)) % 1.97/2.19 (define @t237 () (tptp.addition @t61 @t142)) % 1.97/2.19 (define @t238 () (tptp.multiplication @t237 @t59)) % 1.97/2.19 (define @t239 () (= @t238 @t236)) % 1.97/2.19 (define @t240 () (not @t239)) % 1.97/2.19 (define @t241 () (tptp.addition @t94 @t65)) % 1.97/2.19 (define @t242 () (tptp.addition @t61 @t64)) % 1.97/2.19 (define @t243 () (tptp.multiplication @t242 @t59)) % 1.97/2.19 (define @t244 () (= @t243 @t241)) % 1.97/2.19 (define @t245 () (not @t244)) % 1.97/2.19 (define @t246 () (tptp.addition @t65 @t94)) % 1.97/2.19 (define @t247 () (tptp.addition @t64 @t61)) % 1.97/2.19 (define @t248 () (tptp.multiplication @t247 @t59)) % 1.97/2.19 (define @t249 () (= @t248 @t246)) % 1.97/2.19 (define @t250 () (not @t249)) % 1.97/2.19 (define @t251 () (tptp.multiplication @t61 @t66)) % 1.97/2.19 (define @t252 () (tptp.addition @t251 @t251)) % 1.97/2.19 (define @t253 () (tptp.multiplication @t61 @t221)) % 1.97/2.19 (define @t254 () (= @t253 @t252)) % 1.97/2.19 (define @t255 () (not @t254)) % 1.97/2.19 (define @t256 () (tptp.addition (tptp.multiplication @t67 @t104) (tptp.multiplication @t67 @t59))) % 1.97/2.19 (define @t257 () (tptp.multiplication @t67 @t190)) % 1.97/2.19 (define @t258 () (= @t257 @t256)) % 1.97/2.19 (define @t259 () (not @t258)) % 1.97/2.19 (define @t260 () (= @t59 (tptp.multiplication tptp.one @t59))) % 1.97/2.19 (define @t261 () (not @t260)) % 1.97/2.19 (define @t262 () (= @t61 (tptp.multiplication tptp.one @t61))) % 1.97/2.19 (define @t263 () (not @t262)) % 1.97/2.19 (define @t264 () (tptp.multiplication @t63 tptp.one)) % 1.97/2.19 (define @t265 () (= @t63 @t264)) % 1.97/2.19 (define @t266 () (not @t265)) % 1.97/2.19 (define @t267 () (= @t59 (tptp.multiplication @t59 tptp.one))) % 1.97/2.19 (define @t268 () (not @t267)) % 1.97/2.19 (define @t269 () (= @t61 (tptp.multiplication @t61 tptp.one))) % 1.97/2.19 (define @t270 () (not @t269)) % 1.97/2.19 (define @t271 () (tptp.multiplication @t129 @t179)) % 1.97/2.19 (define @t272 () (tptp.multiplication @t271 @t59)) % 1.97/2.19 (define @t273 () (tptp.multiplication @t179 @t59)) % 1.97/2.19 (define @t274 () (tptp.multiplication @t129 @t273)) % 1.97/2.19 (define @t275 () (= @t274 @t272)) % 1.97/2.19 (define @t276 () (not @t275)) % 1.97/2.19 (define @t277 () (tptp.addition @t178 @t125)) % 1.97/2.19 (define @t278 () (= @t277 (tptp.addition @t125 @t178))) % 1.97/2.19 (define @t279 () (not @t278)) % 1.97/2.19 (define @t280 () (tptp.addition @t134 @t177)) % 1.97/2.19 (define @t281 () (tptp.addition @t177 @t134)) % 1.97/2.19 (define @t282 () (= @t281 @t280)) % 1.97/2.19 (define @t283 () (not @t282)) % 1.97/2.19 (define @t284 () (not @t149)) % 1.97/2.19 (define @t285 () (tptp.addition @t93 @t94)) % 1.97/2.19 (define @t286 () (tptp.multiplication @t61 @t285)) % 1.97/2.19 (define @t287 () (= @t286 @t281)) % 1.97/2.19 (define @t288 () (not @t287)) % 1.97/2.19 (define @t289 () (not @t145)) % 1.97/2.19 (define @t290 () (not @t139)) % 1.97/2.19 (define @t291 () (not @t132)) % 1.97/2.19 (define @t292 () (tptp.multiplication @t140 @t59)) % 1.97/2.19 (define @t293 () (tptp.multiplication @t61 @t65)) % 1.97/2.19 (define @t294 () (= @t293 @t292)) % 1.97/2.19 (define @t295 () (not @t294)) % 1.97/2.19 (define @t296 () (tptp.multiplication @t183 @t59)) % 1.97/2.19 (define @t297 () (tptp.multiplication @t67 @t93)) % 1.97/2.19 (define @t298 () (= @t297 @t296)) % 1.97/2.19 (define @t299 () (not @t298)) % 1.97/2.19 (define @t300 () (= @t129 @t273)) % 1.97/2.19 (define @t301 () (not @t300)) % 1.97/2.19 (define @t302 () (tptp.addition @t94 @t125)) % 1.97/2.19 (define @t303 () (tptp.addition @t67 @t302)) % 1.97/2.19 (define @t304 () (= @t303 @t277)) % 1.97/2.19 (define @t305 () (not @t304)) % 1.97/2.19 (define @t306 () (= @t113 @t190)) % 1.97/2.19 (define @t307 () (not @t306)) % 1.97/2.19 (define @t308 () (not @t124)) % 1.97/2.19 (define @t309 () (not @t159)) % 1.97/2.19 (define @t310 () (not @t171)) % 1.97/2.19 (define @t311 () (not @t114)) % 1.97/2.19 (define @t312 () (not @t102)) % 1.97/2.19 (define @t313 () (tptp.addition @t211 @t63)) % 1.97/2.19 (define @t314 () (= @t302 @t313)) % 1.97/2.19 (define @t315 () (not @t314)) % 1.97/2.19 (define @t316 () (tptp.addition @t95 @t96)) % 1.97/2.19 (define @t317 () (tptp.addition @t96 @t95)) % 1.97/2.19 (define @t318 () (= @t317 @t316)) % 1.97/2.19 (define @t319 () (not @t318)) % 1.97/2.19 (define @t320 () (= @t211 @t285)) % 1.97/2.19 (define @t321 () (not @t320)) % 1.97/2.19 (define @t322 () (not @t91)) % 1.97/2.19 (define @t323 () (not @t172)) % 1.97/2.19 (define @t324 () (not @t161)) % 1.97/2.19 (define @t325 () (= @t67 @t317)) % 1.97/2.19 (define @t326 () (not @t325)) % 1.97/2.19 (define @t327 () (= @t65 @t211)) % 1.97/2.19 (define @t328 () (not @t327)) % 1.97/2.19 (define @t329 () (not @t84)) % 1.97/2.19 (define @t330 () (= @t66 @t170)) % 1.97/2.19 (define @t331 () (not @t330)) % 1.97/2.19 (define @t332 () (= @t64 @t158)) % 1.97/2.19 (define @t333 () (not @t332)) % 1.97/2.19 (define @t334 () (tptp.addition @t134 @t59)) % 1.97/2.19 (define @t335 () (tptp.addition @t66 @t334)) % 1.97/2.19 (define @t336 () (= tptp.one @t335)) % 1.97/2.19 (define @t337 () (not @t336)) % 1.97/2.19 (define @t338 () (tptp.multiplication @t158 @t59)) % 1.97/2.19 (define @t339 () (tptp.addition @t134 @t65)) % 1.97/2.19 (define @t340 () (tptp.multiplication @t66 @t65)) % 1.97/2.19 (define @t341 () (tptp.multiplication @t66 @t59)) % 1.97/2.19 (define @t342 () (tptp.multiplication @t61 @t281)) % 1.97/2.19 (define @t343 () (tptp.multiplication @t170 @t61)) % 1.97/2.19 (define @t344 () (tptp.multiplication @t316 @t94)) % 1.97/2.19 (define @t345 () (tptp.addition @t135 @t341)) % 1.97/2.19 (define @t346 () (tptp.multiplication @t316 @t93)) % 1.97/2.19 (define @t347 () (tptp.addition @t59 @t281)) % 1.97/2.19 (define @t348 () (tptp.multiplication @t59 @t64)) % 1.97/2.19 (define @t349 () (tptp.addition @t93 @t281)) % 1.97/2.19 (define @t350 () (tptp.addition @t94 @t281)) % 1.97/2.19 (define @t351 () (tptp.addition @t61 @t61)) % 1.97/2.19 (define @t352 () (tptp.addition @t66 @t65)) % 1.97/2.19 (define @t353 () (tptp.addition @t66 @t59)) % 1.97/2.19 (define @t354 () (tptp.addition @t158 @t59)) % 1.97/2.19 (define @t355 () (tptp.multiplication @t62 @t64)) % 1.97/2.19 (define @t356 () (tptp.addition @t348 @t355)) % 1.97/2.19 (define @t357 () (tptp.addition @t59 @t179)) % 1.97/2.19 (define @t358 () (tptp.addition @t61 @t80)) % 1.97/2.19 (define @t359 () (tptp.addition @t317 @t80)) % 1.97/2.19 (define @t360 () (tptp.addition @t316 @t94)) % 1.97/2.19 (define @t361 () (tptp.addition @t67 @t281)) % 1.97/2.19 (define @t362 () (tptp.addition @t61 @t281)) % 1.97/2.19 (define @t363 () (tptp.multiplication @t316 @t64)) % 1.97/2.19 (define @t364 () (tptp.addition @t62 @t67)) % 1.97/2.19 (define @t365 () (and @t337 @t336)) % 1.97/2.19 (assume @p1 @t5) % 1.97/2.19 (assume @p2 @t8) % 1.97/2.19 (assume @p3 @t11) % 1.97/2.19 (assume @p4 @t13) % 1.97/2.19 (assume @p5 @t17) % 1.97/2.19 (assume @p6 @t19) % 1.97/2.19 (assume @p7 @t21) % 1.97/2.19 (assume @p8 @t23) % 1.97/2.19 (assume @p9 (forall @t16 (= (tptp.multiplication @t3 @t6) (tptp.addition @t22 @t15)))) % 1.97/2.19 (assume @p10 @t25) % 1.97/2.19 (assume @p11 @t27) % 1.97/2.19 (assume @p12 (forall @t4 (= (tptp.leq @t1 @t2) (= @t3 @t2)))) % 1.97/2.19 (assume @p13 @t36) % 1.97/2.19 (assume @p14 @t43) % 1.97/2.19 (assume @p15 @t48) % 1.97/2.19 (assume @p16 (forall @t35 (=> @t49 (= @t45 tptp.zero)))) % 1.97/2.19 (assume @p17 @t55) % 1.97/2.19 (assume @p18 true) % 1.97/2.19 (step @p19 :rule aci_norm :args ((= (or (or @t56 @t49) @t51) @t57))) % 1.97/2.19 (step @p20 :rule refl :args (@t51)) % 1.97/2.19 (step @p21 :rule bool-and-de-morgan :args (@t52 @t33 true)) % 1.97/2.19 (step @p22 :rule nary_cong :premises (@p21 @p20) :args ((or (not @t53) @t51))) % 1.97/2.20 (step @p23 :rule trans :premises (@p22 @p19)) % 1.97/2.20 (step @p24 :rule bool-impl-elim :args (@t53 @t51)) % 1.97/2.20 (step @p25 :rule trans :premises (@p24 @p23)) % 1.97/2.20 (step @p26 :rule cong :premises (@p25) :args (@t54)) % 1.97/2.20 (step @p27 :rule cong :premises (@p26) :args (@t55)) % 1.97/2.20 (step @p28 :rule eq_resolve :premises (@p17 @p27)) % 1.97/2.20 (step @p29 :rule skolemize :premises (@p28)) % 1.97/2.20 (step @p30 :rule cnf_or_neg :args (@t74 2)) % 1.97/2.20 (step @p31 :rule chain_m_resolution :premises (@p30 @p29) :args (@t75 @t76 @t77)) % 1.97/2.20 (step @p32 :rule instantiate :premises (@p1) :args (@t78)) % 1.97/2.20 (step @p33 :rule instantiate :premises (@p1) :args (@t79)) % 1.97/2.20 (step @p34 :rule eq-symm :args (@t81 @t68)) % 1.97/2.20 (step @p35 :rule refl :args (@t8)) % 1.97/2.20 (step @p36 :rule cong :premises (@p35 @p34) :args ((=> @t8 @t82))) % 1.97/2.20 (assume-push @p780 @t8) % 1.97/2.20 (step @p38 :rule instantiate :premises (@p2) :args (@t83)) % 1.97/2.20 (step-pop @p781 :rule scope :premises (@p38)) % 1.97/2.20 (step @p39 :rule process_scope :premises (@p781) :args (@t82)) % 1.97/2.20 (step @p41 :rule eq_resolve :premises (@p39 @p36)) % 1.97/2.20 (step @p42 :rule implies_elim :premises (@p41)) % 1.97/2.20 (step @p43 :rule chain_m_resolution :premises (@p42 @p2) :args (@t84 @t85 @t86)) % 1.97/2.20 (step @p44 :rule instantiate :premises (@p9) :args ((@list @t61 @t62 @t59))) % 1.97/2.20 (step @p45 :rule instantiate :premises (@p9) :args ((@list @t59 @t60 @t61))) % 1.97/2.20 (step @p46 :rule eq-symm :args (@t87 @t88)) % 1.97/2.20 (step @p47 :rule refl :args (@t5)) % 1.97/2.20 (step @p48 :rule cong :premises (@p47 @p46) :args ((=> @t5 @t89))) % 1.97/2.20 (assume-push @p782 @t5) % 1.97/2.20 (step @p50 :rule instantiate :premises (@p1) :args (@t90)) % 1.97/2.20 (step-pop @p783 :rule scope :premises (@p50)) % 1.97/2.20 (step @p51 :rule process_scope :premises (@p783) :args (@t89)) % 1.97/2.20 (step @p53 :rule eq_resolve :premises (@p51 @p48)) % 1.97/2.20 (step @p54 :rule implies_elim :premises (@p53)) % 1.97/2.20 (step @p55 :rule chain_m_resolution :premises (@p54 @p1) :args (@t91 @t85 @t92)) % 1.97/2.20 (step @p56 :rule instantiate :premises (@p1) :args ((@list @t94 @t93))) % 1.97/2.20 (step @p57 :rule instantiate :premises (@p1) :args ((@list @t96 @t95))) % 1.97/2.20 (step @p58 :rule instantiate :premises (@p2) :args ((@list @t63 @t93 @t94))) % 1.97/2.20 (step @p59 :rule eq-symm :args (@t98 @t99)) % 1.97/2.20 (step @p60 :rule cong :premises (@p35 @p59) :args ((=> @t8 @t100))) % 1.97/2.20 (assume-push @p784 @t8) % 1.97/2.20 (step @p62 :rule instantiate :premises (@p2) :args (@t101)) % 1.97/2.20 (step-pop @p785 :rule scope :premises (@p62)) % 1.97/2.20 (step @p63 :rule process_scope :premises (@p785) :args (@t100)) % 1.97/2.20 (step @p65 :rule eq_resolve :premises (@p63 @p60)) % 1.97/2.20 (step @p66 :rule implies_elim :premises (@p65)) % 1.97/2.20 (step @p67 :rule chain_m_resolution :premises (@p66 @p2) :args (@t102 @t85 @t86)) % 1.97/2.20 (step @p68 :rule eq-symm :args (@t37 tptp.one)) % 1.97/2.20 (step @p69 :rule eq-symm :args (@t38 tptp.zero)) % 1.97/2.20 (step @p70 :rule eq-symm :args (@t39 tptp.zero)) % 1.97/2.20 (step @p71 :rule nary_cong :premises (@p70 @p69 @p68) :args (@t40)) % 1.97/2.20 (step @p72 :rule refl :args (@t30)) % 1.97/2.20 (step @p73 :rule cong :premises (@p72 @p71) :args (@t41)) % 1.97/2.20 (step @p74 :rule cong :premises (@p73) :args (@t43)) % 1.97/2.20 (step @p75 :rule eq_resolve :premises (@p14 @p74)) % 1.97/2.20 (step @p76 :rule instantiate :premises (@p75) :args (@t105)) % 1.97/2.20 (step @p77 :rule exists-elim :args ((= @t32 (not (forall @t31 (not @t30)))))) % 1.97/2.20 (step @p78 :rule refl :args (@t33)) % 1.97/2.20 (step @p79 :rule cong :premises (@p78 @p77) :args (@t34)) % 1.97/2.20 (step @p80 :rule cong :premises (@p79) :args (@t36)) % 1.97/2.20 (step @p81 :rule eq_resolve :premises (@p13 @p80)) % 1.97/2.20 (step @p82 :rule instantiate :premises (@p81) :args (@t106)) % 1.97/2.20 (step @p83 :rule bool-double-not-elim :args (@t72)) % 1.97/2.20 (step @p84 :rule refl :args (@t74)) % 1.97/2.20 (step @p85 :rule nary_cong :premises (@p84 @p83) :args ((or @t74 (not @t73)))) % 1.97/2.20 (step @p86 :rule cnf_or_neg :args (@t74 0)) % 1.97/2.20 (step @p87 :rule eq_resolve :premises (@p86 @p85)) % 1.97/2.20 (step @p88 :rule reordering :premises (@p87) :args ((or @t72 @t74))) % 1.97/2.20 (step @p89 :rule chain_m_resolution :premises (@p88 @p29) :args (@t72 @t76 @t77)) % 1.97/2.20 (step @p90 :rule cnf_equiv_pos1 :args (@t108)) % 1.97/2.20 (step @p91 :rule reordering :premises (@p90) :args ((or @t73 @t107 (not @t108)))) % 1.97/2.20 (step @p92 :rule chain_m_resolution :premises (@p91 @p89 @p82) :args (@t107 @t109 (@list @t72 @t108))) % 1.97/2.20 (step @p93 :rule refl :args (@t110)) % 1.97/2.20 (step @p94 :rule bool-double-not-elim :args (@t103)) % 1.97/2.20 (step @p95 :rule nary_cong :premises (@p94 @p93) :args ((or (not @t107) @t110))) % 1.97/2.20 (step @p96 :rule bool-double-not-elim :args (@t110)) % 1.97/2.20 (step @p97 :rule refl :args (@t107)) % 1.97/2.20 (step @p98 :rule cong :premises (@p97 @p96) :args ((=> @t107 @t112))) % 1.97/2.20 (assume-push @p786 @t107) % 1.97/2.20 (step @p100 :rule skolemize :premises (@p92)) % 1.97/2.20 (step-pop @p787 :rule scope :premises (@p100)) % 1.97/2.20 (step @p101 :rule process_scope :premises (@p787) :args (@t112)) % 1.97/2.20 (step @p103 :rule eq_resolve :premises (@p101 @p98)) % 1.97/2.20 (step @p104 :rule implies_elim :premises (@p103)) % 1.97/2.20 (step @p105 :rule eq_resolve :premises (@p104 @p95)) % 1.97/2.20 (step @p106 :rule chain_m_resolution :premises (@p105 @p92) :args (@t110 @t76 (@list @t103))) % 1.97/2.20 (step @p107 :rule cnf_equiv_pos1 :args (@t118)) % 1.97/2.20 (step @p108 :rule reordering :premises (@p107) :args ((or @t111 @t117 (not @t118)))) % 1.97/2.20 (step @p109 :rule chain_m_resolution :premises (@p108 @p106 @p76) :args (@t117 @t109 (@list @t110 @t118))) % 1.97/2.20 (step @p110 :rule cnf_and_pos :args (@t117 2)) % 1.97/2.20 (step @p111 :rule reordering :premises (@p110) :args ((or @t114 @t119))) % 1.97/2.20 (step @p112 :rule chain_m_resolution :premises (@p111 @p109) :args (@t114 @t85 @t120)) % 1.97/2.20 (step @p113 :rule eq-symm :args (@t121 @t97)) % 1.97/2.20 (step @p114 :rule cong :premises (@p47 @p113) :args ((=> @t5 @t122))) % 1.97/2.20 (assume-push @p788 @t5) % 1.97/2.20 (step @p116 :rule instantiate :premises (@p1) :args (@t123)) % 1.97/2.20 (step-pop @p789 :rule scope :premises (@p116)) % 1.97/2.20 (step @p117 :rule process_scope :premises (@p789) :args (@t122)) % 1.97/2.20 (step @p119 :rule eq_resolve :premises (@p117 @p114)) % 1.97/2.20 (step @p120 :rule implies_elim :premises (@p119)) % 1.97/2.20 (step @p121 :rule chain_m_resolution :premises (@p120 @p1) :args (@t124 @t85 @t92)) % 1.97/2.20 (step @p122 :rule instantiate :premises (@p1) :args (@t105)) % 1.97/2.20 (step @p123 :rule instantiate :premises (@p2) :args ((@list @t125 @t94 @t67))) % 1.97/2.20 (step @p124 :rule instantiate :premises (@p5) :args ((@list @t63 @t64 @t59))) % 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0.37/2.20 (step-pop @p878 :rule scope :premises (@p877)) % 0.37/2.20 (step-pop @p879 :rule scope :premises (@p878)) % 0.37/2.20 (step-pop @p880 :rule scope :premises (@p879)) % 0.37/2.20 (step-pop @p881 :rule scope :premises (@p880)) % 0.37/2.20 (step-pop @p882 :rule scope :premises (@p881)) % 0.37/2.20 (step-pop @p883 :rule scope :premises (@p882)) % 0.37/2.20 (step-pop @p884 :rule scope :premises (@p883)) % 0.37/2.20 (step-pop @p885 :rule scope :premises (@p884)) % 0.37/2.20 (step-pop @p886 :rule scope :premises (@p885)) % 0.37/2.20 (step-pop @p887 :rule scope :premises (@p886)) % 0.37/2.20 (step-pop @p888 :rule scope :premises (@p887)) % 0.37/2.20 (step-pop @p889 :rule scope :premises (@p888)) % 0.37/2.20 (step-pop @p890 :rule scope :premises (@p889)) % 0.37/2.20 (step-pop @p891 :rule scope :premises (@p890)) % 0.37/2.20 (step-pop @p892 :rule scope :premises (@p891)) % 0.37/2.20 (step-pop @p893 :rule scope :premises (@p892)) % 0.37/2.20 (step-pop @p894 :rule scope :premises (@p893)) % 0.37/2.20 (step-pop @p895 :rule scope :premises (@p894)) % 0.37/2.20 (step-pop @p896 :rule scope :premises (@p895)) % 0.37/2.20 (step-pop @p897 :rule scope :premises (@p896)) % 0.37/2.20 (step-pop @p898 :rule scope :premises (@p897)) % 0.37/2.20 (step-pop @p899 :rule scope :premises (@p898)) % 0.37/2.20 (step-pop @p900 :rule scope :premises (@p899)) % 0.37/2.20 (step-pop @p901 :rule scope :premises (@p900)) % 0.37/2.20 (step-pop @p902 :rule scope :premises (@p901)) % 0.37/2.20 (step-pop @p903 :rule scope :premises (@p902)) % 0.37/2.20 (step-pop @p904 :rule scope :premises (@p903)) % 0.37/2.20 (step-pop @p905 :rule scope :premises (@p904)) % 0.37/2.20 (step-pop @p906 :rule scope :premises (@p905)) % 0.37/2.20 (step-pop @p907 :rule scope :premises (@p906)) % 0.37/2.20 (step-pop @p908 :rule scope :premises (@p907)) % 0.37/2.20 (step-pop @p909 :rule scope :premises (@p908)) % 0.37/2.20 (step-pop @p910 :rule scope :premises (@p909)) % 0.37/2.20 (step-pop @p911 :rule scope :premises (@p910)) % 0.37/2.20 (step @p722 :rule process_scope :premises (@p911) :args (@t365)) % 0.37/2.20 (step @p775 :rule implies_elim :premises (@p722)) % 0.37/2.20 (step @p776 :rule resolution :premises (@p775 @p663) :args (true @t365)) % 0.37/2.20 (step @p777 :rule not_and :premises (@p776)) % 0.37/2.20 (step @p778 :rule eq_resolve :premises (@p777 @p366)) % 0.37/2.20 (step @p779 false :rule chain_m_resolution :premises (@p778 @p313 @p312 @p311 @p310 @p309 @p308 @p307 @p303 @p299 @p267 @p263 @p262 @p258 @p257 @p256 @p255 @p254 @p253 @p252 @p248 @p247 @p246 @p242 @p241 @p240 @p239 @p236 @p211 @p208 @p165 @p155 @p154 @p145 @p136 @p126 @p125 @p124 @p123 @p122 @p121 @p112 @p67 @p58 @p57 @p56 @p55 @p45 @p44 @p43 @p33 @p32 @p31) :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 true) (@list @t199 @t204 @t209 @t215 @t217 @t219 @t222 @t225 @t187 @t229 @t232 @t234 @t239 @t244 @t249 @t254 @t258 @t260 @t262 @t265 @t267 @t269 @t275 @t278 @t282 @t171 @t172 @t159 @t161 @t149 @t287 @t145 @t139 @t132 @t294 @t298 @t300 @t304 @t306 @t124 @t114 @t102 @t314 @t318 @t320 @t91 @t325 @t327 @t84 @t330 @t332 @t69))) % 0.37/2.20 ) % 0.37/2.20 % SZS output end Proof % 0.37/2.20 % cvc5 exiting %------------------------------------------------------------------------------