%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG126+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 : n020.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:45:46 AM UTC 2026 % Result : Theorem 34.33s 34.53s % Output : Proof 34.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG126+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n020.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 14:09:11 EDT 2026 % 0.17/0.35 % CPUTime : % 0.33/0.51 %----Proving TF0_NAR, FOF, or CNF % 34.33/34.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.33/34.53 --- Run --no-e-matching --full-saturate-quant at 6... % 34.33/34.53 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.33/34.53 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.33/34.53 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.33/34.53 % SZS status Theorem % 34.33/34.53 % SZS output start Proof % 34.33/34.53 ( % 34.33/34.53 (declare-sort $$unsorted 0) % 34.33/34.53 (declare-const tptp.xu $$unsorted) % 34.33/34.53 (declare-const tptp.xc $$unsorted) % 34.33/34.53 (declare-const tptp.xa $$unsorted) % 34.33/34.53 (declare-const tptp.xI $$unsorted) % 34.33/34.53 (declare-const tptp.slsdtgt0 (-> $$unsorted $$unsorted)) % 34.33/34.53 (declare-const tptp.aDivisorOf0 (-> $$unsorted $$unsorted Bool)) % 34.33/34.53 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 34.33/34.53 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 34.33/34.53 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 34.33/34.53 (declare-const tptp.sz00 $$unsorted) % 34.33/34.53 (declare-const tptp.sz10 $$unsorted) % 34.33/34.53 (declare-const tptp.aGcdOfAnd0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.33/34.53 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 34.33/34.53 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 34.33/34.53 (declare-const tptp.sdtasasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 34.33/34.53 (declare-const tptp.aIdeal0 (-> $$unsorted Bool)) % 34.33/34.53 (declare-const tptp.misRelativelyPrime0 (-> $$unsorted $$unsorted Bool)) % 34.33/34.53 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 34.33/34.53 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 34.33/34.53 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 34.33/34.53 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 34.33/34.53 (declare-const tptp.sdteqdtlpzmzozddtrp0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.33/34.53 (declare-const tptp.xb $$unsorted) % 34.33/34.53 (declare-const tptp.sdtpldt1 (-> $$unsorted $$unsorted $$unsorted)) % 34.33/34.53 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 34.33/34.53 (define @t1 () (@var "W0" $$unsorted)) % 34.33/34.53 (define @t2 () (tptp.aElement0 @t1)) % 34.33/34.53 (define @t3 () (@list @t1)) % 34.33/34.53 (define @t4 () (tptp.smndt0 @t1)) % 34.33/34.53 (define @t5 () (@var "W1" $$unsorted)) % 34.33/34.53 (define @t6 () (tptp.sdtpldt0 @t1 @t5)) % 34.33/34.53 (define @t7 () (tptp.aElement0 @t5)) % 34.33/34.53 (define @t8 () (and @t2 @t7)) % 34.33/34.53 (define @t9 () (@list @t1 @t5)) % 34.33/34.53 (define @t10 () (tptp.sdtasdt0 @t1 @t5)) % 34.33/34.53 (define @t11 () (@var "W2" $$unsorted)) % 34.33/34.53 (define @t12 () (tptp.sdtpldt0 @t5 @t11)) % 34.33/34.53 (define @t13 () (tptp.aElement0 @t11)) % 34.33/34.53 (define @t14 () (and @t2 @t7 @t13)) % 34.33/34.53 (define @t15 () (@list @t1 @t5 @t11)) % 34.33/34.53 (define @t16 () (tptp.sdtasdt0 @t5 @t1)) % 34.33/34.53 (define @t17 () (= @t10 @t16)) % 34.33/34.53 (define @t18 () (forall @t9 (=> @t8 @t17))) % 34.33/34.53 (define @t19 () (tptp.sdtasdt0 @t1 @t11)) % 34.33/34.53 (define @t20 () (tptp.smndt0 tptp.sz10)) % 34.33/34.53 (define @t21 () (= @t5 tptp.sz00)) % 34.33/34.53 (define @t22 () (= @t1 tptp.sz00)) % 34.33/34.53 (define @t23 () (tptp.aSet0 @t1)) % 34.33/34.53 (define @t24 () (tptp.aElementOf0 @t5 @t1)) % 34.33/34.53 (define @t25 () (@list @t5)) % 34.33/34.53 (define @t26 () (forall @t25 (=> @t24 @t7))) % 34.33/34.53 (define @t27 () (=> @t23 @t26)) % 34.33/34.53 (define @t28 () (forall @t3 @t27)) % 34.33/34.53 (define @t29 () (tptp.aElementOf0 @t11 @t1)) % 34.33/34.53 (define @t30 () (tptp.aElementOf0 @t11 @t5)) % 34.33/34.53 (define @t31 () (@list @t11)) % 34.33/34.53 (define @t32 () (tptp.aSet0 @t5)) % 34.33/34.53 (define @t33 () (and @t23 @t32)) % 34.33/34.53 (define @t34 () (@var "W3" $$unsorted)) % 34.33/34.53 (define @t35 () (@var "W5" $$unsorted)) % 34.33/34.53 (define @t36 () (@var "W4" $$unsorted)) % 34.33/34.53 (define @t37 () (tptp.aElementOf0 @t34 @t11)) % 34.33/34.53 (define @t38 () (@list @t34)) % 34.33/34.53 (define @t39 () (tptp.aSet0 @t11)) % 34.33/34.53 (define @t40 () (tptp.sdtpldt1 @t1 @t5)) % 34.33/34.53 (define @t41 () (tptp.sdtasasdt0 @t1 @t5)) % 34.33/34.53 (define @t42 () (tptp.sdtasdt0 @t11 @t5)) % 34.33/34.53 (define @t43 () (tptp.aElementOf0 @t42 @t1)) % 34.33/34.53 (define @t44 () (forall @t31 (=> @t13 @t43))) % 34.33/34.53 (define @t45 () (tptp.aElementOf0 @t12 @t1)) % 34.33/34.53 (define @t46 () (forall @t31 (=> @t29 @t45))) % 34.33/34.53 (define @t47 () (and @t46 @t44)) % 34.33/34.53 (define @t48 () (=> @t24 @t47)) % 34.33/34.53 (define @t49 () (forall @t25 @t48)) % 34.33/34.53 (define @t50 () (and @t23 @t49)) % 34.33/34.53 (define @t51 () (tptp.aIdeal0 @t1)) % 34.33/34.53 (define @t52 () (= @t51 @t50)) % 34.33/34.53 (define @t53 () (forall @t3 @t52)) % 34.33/34.53 (define @t54 () (and @t51 (tptp.aIdeal0 @t5))) % 34.33/34.53 (define @t55 () (tptp.aElement0 @t34)) % 34.33/34.53 (define @t56 () (@list @t11 @t34)) % 34.33/34.53 (define @t57 () (tptp.aNaturalNumber0 @t1)) % 34.33/34.53 (define @t58 () (tptp.sbrdtbr0 @t1)) % 34.33/34.53 (define @t59 () (not @t22)) % 34.33/34.53 (define @t60 () (and @t13 (= @t19 @t5))) % 34.33/34.53 (define @t61 () (exists @t31 @t60)) % 34.33/34.53 (define @t62 () (tptp.doDivides0 @t1 @t5)) % 34.33/34.53 (define @t63 () (= @t62 @t61)) % 34.33/34.53 (define @t64 () (=> @t8 @t63)) % 34.33/34.53 (define @t65 () (forall @t9 @t64)) % 34.33/34.53 (define @t66 () (forall @t25 (= (tptp.aDivisorOf0 @t5 @t1) (and @t7 (tptp.doDivides0 @t5 @t1))))) % 34.33/34.53 (define @t67 () (forall @t3 (=> @t2 @t66))) % 34.33/34.53 (define @t68 () (tptp.doDivides0 @t34 @t11)) % 34.33/34.53 (define @t69 () (tptp.aDivisorOf0 @t34 @t5)) % 34.33/34.53 (define @t70 () (tptp.aDivisorOf0 @t34 @t1)) % 34.33/34.53 (define @t71 () (and @t70 @t69)) % 34.33/34.53 (define @t72 () (forall @t38 (=> @t71 @t68))) % 34.33/34.53 (define @t73 () (tptp.aDivisorOf0 @t11 @t5)) % 34.33/34.53 (define @t74 () (tptp.aDivisorOf0 @t11 @t1)) % 34.33/34.53 (define @t75 () (and @t74 @t73 @t72)) % 34.33/34.53 (define @t76 () (tptp.aGcdOfAnd0 @t11 @t1 @t5)) % 34.33/34.53 (define @t77 () (= @t76 @t75)) % 34.33/34.53 (define @t78 () (forall @t31 @t77)) % 34.33/34.53 (define @t79 () (=> @t8 @t78)) % 34.33/34.53 (define @t80 () (forall @t9 @t79)) % 34.33/34.53 (define @t81 () (tptp.slsdtgt0 @t1)) % 34.33/34.53 (define @t82 () (tptp.aElement0 tptp.xb)) % 34.33/34.53 (define @t83 () (tptp.aElement0 tptp.xa)) % 34.33/34.53 (define @t84 () (tptp.aGcdOfAnd0 tptp.xc tptp.xa tptp.xb)) % 34.33/34.53 (define @t85 () (tptp.slsdtgt0 tptp.xb)) % 34.33/34.53 (define @t86 () (tptp.slsdtgt0 tptp.xa)) % 34.33/34.53 (define @t87 () (tptp.sdtpldt1 @t86 @t85)) % 34.33/34.53 (define @t88 () (tptp.aIdeal0 tptp.xI)) % 34.33/34.53 (define @t89 () (tptp.aElementOf0 tptp.xu tptp.xI)) % 34.33/34.53 (define @t90 () (tptp.doDivides0 tptp.xu tptp.xc)) % 34.33/34.53 (define @t91 () (tptp.aElementOf0 tptp.xc @t87)) % 34.33/34.53 (define @t92 () (@var "BOUND_VARIABLE_7970" $$unsorted)) % 34.33/34.53 (define @t93 () (tptp.sdtasdt0 @t92 @t5)) % 34.33/34.53 (define @t94 () (not (tptp.aElement0 @t92))) % 34.33/34.53 (define @t95 () (or @t94 (tptp.aElementOf0 @t93 @t1))) % 34.33/34.53 (define @t96 () (@var "BOUND_VARIABLE_7963" $$unsorted)) % 34.33/34.53 (define @t97 () (tptp.sdtpldt0 @t5 @t96)) % 34.33/34.53 (define @t98 () (or (not (tptp.aElementOf0 @t96 @t1)) (tptp.aElementOf0 @t97 @t1))) % 34.33/34.53 (define @t99 () (and @t98 @t95)) % 34.33/34.53 (define @t100 () (not @t24)) % 34.33/34.53 (define @t101 () (or @t100 @t99)) % 34.33/34.53 (define @t102 () (@list @t5 @t96 @t92)) % 34.33/34.53 (define @t103 () (@list @t96 @t92)) % 34.33/34.53 (define @t104 () (forall @t103 @t101)) % 34.33/34.53 (define @t105 () (forall (@list @t92) @t95)) % 34.33/34.53 (define @t106 () (@list @t11)) % 34.33/34.53 (define @t107 () (forall @t103 @t95)) % 34.33/34.53 (define @t108 () (forall (@list @t96) @t98)) % 34.33/34.53 (define @t109 () (forall @t103 @t98)) % 34.33/34.53 (define @t110 () (and @t109 @t107)) % 34.33/34.53 (define @t111 () (forall @t103 @t99)) % 34.33/34.53 (define @t112 () (or @t100 @t111)) % 34.33/34.53 (define @t113 () (not @t13)) % 34.33/34.53 (define @t114 () (and (forall @t31 (or (not @t29) @t45)) (forall @t31 (or @t113 @t43)))) % 34.33/34.53 (define @t115 () (forall @t102 (or (not (tptp.aElementOf0 @t5 @t87)) (and (or (not (tptp.aElementOf0 @t96 @t87)) (tptp.aElementOf0 @t97 @t87)) (or @t94 (tptp.aElementOf0 @t93 @t87)))))) % 34.33/34.53 (define @t116 () (tptp.aSet0 @t87)) % 34.33/34.53 (define @t117 () (and @t116 @t115)) % 34.33/34.53 (define @t118 () (tptp.aIdeal0 @t87)) % 34.33/34.53 (define @t119 () (= @t118 @t117)) % 34.33/34.53 (define @t120 () (@list false false)) % 34.33/34.53 (define @t121 () (not @t117)) % 34.33/34.53 (define @t122 () (@list false)) % 34.33/34.53 (define @t123 () (@list @t117)) % 34.33/34.53 (define @t124 () (forall @t31 (or @t113 (not (= tptp.xc (tptp.sdtasdt0 tptp.xu @t11)))))) % 34.33/34.53 (define @t125 () (@quantifiers_skolemize @t124 0)) % 34.33/34.53 (define @t126 () (tptp.sdtasdt0 @t125 tptp.xu)) % 34.33/34.53 (define @t127 () (tptp.aElementOf0 @t126 @t87)) % 34.33/34.53 (define @t128 () (tptp.aElement0 @t125)) % 34.33/34.53 (define @t129 () (not @t128)) % 34.33/34.53 (define @t130 () (or @t129 @t127)) % 34.33/34.53 (define @t131 () (and (or (not (tptp.aElementOf0 tptp.xa @t87)) (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xu tptp.xa) @t87)) @t130)) % 34.33/34.53 (define @t132 () (tptp.aElementOf0 tptp.xu @t87)) % 34.33/34.53 (define @t133 () (not @t132)) % 34.33/34.53 (define @t134 () (or @t133 @t131)) % 34.33/34.53 (define @t135 () (= @t5 @t19)) % 34.33/34.53 (define @t136 () (= @t62 (not (forall @t31 (or @t113 (not @t135)))))) % 34.33/34.53 (define @t137 () (not @t7)) % 34.33/34.53 (define @t138 () (not @t2)) % 34.33/34.53 (define @t139 () (or @t138 @t137)) % 34.33/34.53 (define @t140 () (not @t8)) % 34.33/34.53 (define @t141 () (and @t13 @t135)) % 34.33/34.53 (define @t142 () (forall @t31 (not @t141))) % 34.33/34.53 (define @t143 () (not @t142)) % 34.33/34.53 (define @t144 () (@var "BOUND_VARIABLE_8099" $$unsorted)) % 34.33/34.53 (define @t145 () (= (tptp.aDivisorOf0 @t144 @t1) (and (tptp.aElement0 @t144) (tptp.doDivides0 @t144 @t1)))) % 34.33/34.53 (define @t146 () (or @t138 @t145)) % 34.33/34.53 (define @t147 () (@list @t144)) % 34.33/34.53 (define @t148 () (forall @t147 @t146)) % 34.33/34.53 (define @t149 () (forall @t147 @t145)) % 34.33/34.53 (define @t150 () (@list @t5)) % 34.33/34.53 (define @t151 () (or @t138 @t149)) % 34.33/34.53 (define @t152 () (tptp.aElement0 tptp.xc)) % 34.33/34.53 (define @t153 () (and @t152 (tptp.doDivides0 tptp.xc tptp.xa))) % 34.33/34.53 (define @t154 () (tptp.aDivisorOf0 tptp.xc tptp.xa)) % 34.33/34.53 (define @t155 () (= @t154 @t153)) % 34.33/34.53 (define @t156 () (not @t83)) % 34.33/34.53 (define @t157 () (or @t156 @t155)) % 34.33/34.53 (define @t158 () (@var "BOUND_VARIABLE_8123" $$unsorted)) % 34.33/34.53 (define @t159 () (not @t69)) % 34.33/34.53 (define @t160 () (not @t70)) % 34.33/34.53 (define @t161 () (= (tptp.aGcdOfAnd0 @t158 @t1 @t5) (and (tptp.aDivisorOf0 @t158 @t1) (tptp.aDivisorOf0 @t158 @t5) (forall @t38 (or @t160 @t159 (tptp.doDivides0 @t34 @t158)))))) % 34.33/34.53 (define @t162 () (or @t138 @t137 @t161)) % 34.33/34.53 (define @t163 () (@list @t158)) % 34.33/34.53 (define @t164 () (forall @t163 @t162)) % 34.33/34.53 (define @t165 () (forall @t163 @t161)) % 34.33/34.53 (define @t166 () (or @t138 @t137 @t165)) % 34.33/34.53 (define @t167 () (or @t160 @t159 @t68)) % 34.33/34.53 (define @t168 () (forall @t31 (= @t76 (and @t74 @t73 (forall @t38 @t167))))) % 34.33/34.53 (define @t169 () (or @t138 @t137 @t168)) % 34.33/34.53 (define @t170 () (and @t154 (tptp.aDivisorOf0 tptp.xc tptp.xb) (forall @t38 (or (not (tptp.aDivisorOf0 @t34 tptp.xa)) (not (tptp.aDivisorOf0 @t34 tptp.xb)) (tptp.doDivides0 @t34 tptp.xc))))) % 34.33/34.53 (define @t171 () (= @t84 @t170)) % 34.33/34.53 (define @t172 () (not @t82)) % 34.33/34.53 (define @t173 () (or @t156 @t172 @t171)) % 34.33/34.53 (define @t174 () (@list false false false)) % 34.33/34.53 (define @t175 () (@var "BOUND_VARIABLE_7858" $$unsorted)) % 34.33/34.53 (define @t176 () (tptp.aElement0 @t175)) % 34.33/34.53 (define @t177 () (not (tptp.aElementOf0 @t175 @t1))) % 34.33/34.53 (define @t178 () (not @t23)) % 34.33/34.53 (define @t179 () (or @t177 @t176)) % 34.33/34.53 (define @t180 () (or @t178 @t179)) % 34.33/34.53 (define @t181 () (forall (@list @t1 @t175) @t180)) % 34.33/34.53 (define @t182 () (@list @t175)) % 34.33/34.53 (define @t183 () (forall @t182 @t180)) % 34.33/34.53 (define @t184 () (forall @t182 @t179)) % 34.33/34.53 (define @t185 () (or @t178 @t184)) % 34.33/34.53 (define @t186 () (forall @t25 (or @t100 @t7))) % 34.33/34.53 (define @t187 () (tptp.aElement0 tptp.xu)) % 34.33/34.53 (define @t188 () (not @t116)) % 34.33/34.53 (define @t189 () (or @t188 @t133 @t187)) % 34.33/34.53 (define @t190 () (not @t124)) % 34.33/34.53 (define @t191 () (= @t90 @t190)) % 34.33/34.53 (define @t192 () (not @t152)) % 34.33/34.53 (define @t193 () (not @t187)) % 34.33/34.53 (define @t194 () (or @t193 @t192 @t191)) % 34.33/34.53 (define @t195 () (tptp.sdtasdt0 tptp.xu @t125)) % 34.33/34.53 (define @t196 () (= tptp.xc @t195)) % 34.33/34.53 (define @t197 () (not @t196)) % 34.33/34.53 (define @t198 () (or @t129 @t197)) % 34.33/34.53 (define @t199 () (@list true)) % 34.33/34.53 (define @t200 () (@list @t198)) % 34.33/34.53 (define @t201 () (= @t195 @t126)) % 34.33/34.53 (define @t202 () (or @t193 @t129 @t201)) % 34.33/34.53 (assume @p1 (forall @t3 (=> @t2 true))) % 34.33/34.53 (assume @p2 (tptp.aElement0 tptp.sz00)) % 34.33/34.53 (assume @p3 (tptp.aElement0 tptp.sz10)) % 34.33/34.53 (assume @p4 (forall @t3 (=> @t2 (tptp.aElement0 @t4)))) % 34.33/34.53 (assume @p5 (forall @t9 (=> @t8 (tptp.aElement0 @t6)))) % 34.33/34.53 (assume @p6 (forall @t9 (=> @t8 (tptp.aElement0 @t10)))) % 34.33/34.53 (assume @p7 (forall @t9 (=> @t8 (= @t6 (tptp.sdtpldt0 @t5 @t1))))) % 34.33/34.53 (assume @p8 (forall @t15 (=> @t14 (= (tptp.sdtpldt0 @t6 @t11) (tptp.sdtpldt0 @t1 @t12))))) % 34.33/34.53 (assume @p9 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 34.33/34.53 (assume @p10 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 @t4) tptp.sz00) (= tptp.sz00 (tptp.sdtpldt0 @t4 @t1)))))) % 34.33/34.53 (assume @p11 @t18) % 34.33/34.53 (assume @p12 (forall @t15 (=> @t14 (= (tptp.sdtasdt0 @t10 @t11) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t5 @t11)))))) % 34.33/34.53 (assume @p13 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 34.33/34.53 (assume @p14 (forall @t15 (=> @t14 (and (= (tptp.sdtasdt0 @t1 @t12) (tptp.sdtpldt0 @t10 @t19)) (= (tptp.sdtasdt0 @t12 @t1) (tptp.sdtpldt0 @t16 (tptp.sdtasdt0 @t11 @t1))))))) % 34.33/34.53 (assume @p15 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t20 @t1) @t4) (= @t4 (tptp.sdtasdt0 @t1 @t20)))))) % 34.33/34.53 (assume @p16 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 34.33/34.53 (assume @p17 (forall @t9 (=> @t8 (=> (= @t10 tptp.sz00) (or @t22 @t21))))) % 34.33/34.53 (assume @p18 (not (= tptp.sz10 tptp.sz00))) % 34.33/34.53 (assume @p19 (forall @t3 (=> @t23 true))) % 34.33/34.53 (assume @p20 @t28) % 34.33/34.53 (assume @p21 (forall @t9 (=> @t33 (=> (and (forall @t31 (=> @t29 @t30)) (forall @t31 (=> @t30 @t29))) (= @t1 @t5))))) % 34.33/34.53 (assume @p22 (forall @t9 (=> @t33 (forall @t31 (= (= @t11 @t40) (and @t39 (forall @t38 (= @t37 (exists (@list @t36 @t35) (and (tptp.aElementOf0 @t36 @t1) (tptp.aElementOf0 @t35 @t5) (= (tptp.sdtpldt0 @t36 @t35) @t34))))))))))) % 34.33/34.53 (assume @p23 (forall @t9 (=> @t33 (forall @t31 (= (= @t11 @t41) (and @t39 (forall @t38 (= @t37 (and (tptp.aElementOf0 @t34 @t1) (tptp.aElementOf0 @t34 @t5)))))))))) % 34.33/34.53 (assume @p24 @t53) % 34.33/34.53 (assume @p25 (forall @t9 (=> @t54 (tptp.aIdeal0 @t40)))) % 34.33/34.53 (assume @p26 (forall @t9 (=> @t54 (tptp.aIdeal0 @t41)))) % 34.33/34.53 (assume @p27 (forall @t15 (=> (and @t2 @t7 (tptp.aIdeal0 @t11)) (= (tptp.sdteqdtlpzmzozddtrp0 @t1 @t5 @t11) (tptp.aElementOf0 (tptp.sdtpldt0 @t1 (tptp.smndt0 @t5)) @t11))))) % 34.33/34.53 (assume @p28 (forall @t9 (=> @t54 (=> (forall @t31 (=> @t13 (tptp.aElementOf0 @t11 @t40))) (forall @t56 (=> (and @t13 @t55) (exists (@list @t36) (and (tptp.aElement0 @t36) (tptp.sdteqdtlpzmzozddtrp0 @t36 @t11 @t1) (tptp.sdteqdtlpzmzozddtrp0 @t36 @t34 @t5))))))))) % 34.33/34.53 (assume @p29 (forall @t3 (=> @t57 true))) % 34.33/34.53 (assume @p30 (forall @t3 (=> (and @t2 @t59) (tptp.aNaturalNumber0 @t58)))) % 34.33/34.53 (assume @p31 (forall @t9 (=> (and @t57 (tptp.aNaturalNumber0 @t5)) (=> (tptp.iLess0 @t1 @t5) true)))) % 34.33/34.53 (assume @p32 (forall @t9 (=> (and @t2 @t7 (not @t21)) (exists @t56 (and @t13 @t55 (= @t1 (tptp.sdtpldt0 @t42 @t34)) (=> (not (= @t34 tptp.sz00)) (tptp.iLess0 (tptp.sbrdtbr0 @t34) (tptp.sbrdtbr0 @t5)))))))) % 34.33/34.53 (assume @p33 @t65) % 34.33/34.53 (assume @p34 @t67) % 34.33/34.53 (assume @p35 @t80) % 34.33/34.53 (assume @p36 (forall @t9 (=> @t8 (= (tptp.misRelativelyPrime0 @t1 @t5) (tptp.aGcdOfAnd0 tptp.sz10 @t1 @t5))))) % 34.33/34.53 (assume @p37 (forall @t3 (=> @t2 (forall @t25 (= (= @t5 @t81) (and @t32 (forall @t31 (= @t30 (exists @t38 (and @t55 (= (tptp.sdtasdt0 @t1 @t34) @t11))))))))))) % 34.33/34.53 (assume @p38 (forall @t3 (=> @t2 (tptp.aIdeal0 @t81)))) % 34.33/34.53 (assume @p39 (and @t83 @t82)) % 34.33/34.53 (assume @p40 (or (not (= tptp.xa tptp.sz00)) (not (= tptp.xb tptp.sz00)))) % 34.33/34.53 (assume @p41 @t84) % 34.33/34.53 (assume @p42 (and @t88 (= tptp.xI @t87))) % 34.33/34.53 (assume @p43 (and (tptp.aElementOf0 tptp.sz00 @t86) (tptp.aElementOf0 tptp.xa @t86) (tptp.aElementOf0 tptp.sz00 @t85) (tptp.aElementOf0 tptp.xb @t85))) % 34.33/34.53 (assume @p44 (exists @t3 (and (tptp.aElementOf0 @t1 @t87) @t59))) % 34.33/34.53 (assume @p45 (and @t89 (not (= tptp.xu tptp.sz00)) (forall @t3 (=> (and (tptp.aElementOf0 @t1 tptp.xI) @t59) (not (tptp.iLess0 @t58 (tptp.sbrdtbr0 tptp.xu))))))) % 34.33/34.53 (assume @p46 (and (tptp.aDivisorOf0 tptp.xu tptp.xa) (tptp.aDivisorOf0 tptp.xu tptp.xb))) % 34.33/34.53 (assume @p47 @t90) % 34.33/34.53 (assume @p48 (not @t91)) % 34.33/34.53 (assume @p49 true) % 34.33/34.53 (step @p50 :rule evaluate :args ((= false true))) % 34.33/34.53 (step @p51 :rule quant-merge-prenex :args ((= (forall @t25 @t104) (forall @t102 @t101)))) % 34.33/34.53 (step @p52 :rule alpha_equiv :args (@t105 (@list @t92) @t106)) % 34.33/34.53 (step @p53 :rule quant-unused-vars :args ((= @t107 @t105))) % 34.33/34.53 (step @p54 :rule trans :premises (@p53 @p52)) % 34.33/34.53 (step @p55 :rule alpha_equiv :args (@t108 (@list @t96) @t106)) % 34.33/34.53 (step @p56 :rule quant-unused-vars :args ((= @t109 @t108))) % 34.33/34.53 (step @p57 :rule trans :premises (@p56 @p55)) % 34.33/34.53 (step @p58 :rule nary_cong :premises (@p57 @p54) :args (@t110)) % 34.33/34.53 (step @p59 :rule quant-miniscope-and :args ((= @t111 @t110))) % 34.33/34.53 (step @p60 :rule trans :premises (@p59 @p58)) % 34.33/34.53 (step @p61 :rule refl :args (@t100)) % 34.33/34.53 (step @p62 :rule nary_cong :premises (@p61 @p60) :args (@t112)) % 34.33/34.53 (step @p63 :rule quant-miniscope-or :args ((= @t104 @t112))) % 34.33/34.53 (step @p64 :rule trans :premises (@p63 @p62)) % 34.33/34.53 (step @p65 :rule symm :premises (@p64)) % 34.33/34.53 (step @p66 :rule cong :premises (@p65) :args ((forall @t25 (or @t100 @t114)))) % 34.33/34.53 (step @p67 :rule trans :premises (@p66 @p51)) % 34.33/34.53 (step @p68 :rule bool-impl-elim :args (@t24 @t114)) % 34.33/34.53 (step @p69 :rule cong :premises (@p68) :args ((forall @t25 (=> @t24 @t114)))) % 34.33/34.53 (step @p70 :rule trans :premises (@p69 @p67)) % 34.33/34.53 (step @p71 :rule bool-impl-elim :args (@t13 @t43)) % 34.33/34.53 (step @p72 :rule cong :premises (@p71) :args (@t44)) % 34.33/34.53 (step @p73 :rule bool-impl-elim :args (@t29 @t45)) % 34.33/34.53 (step @p74 :rule cong :premises (@p73) :args (@t46)) % 34.33/34.53 (step @p75 :rule nary_cong :premises (@p74 @p72) :args (@t47)) % 34.33/34.53 (step @p76 :rule refl :args (@t24)) % 34.33/34.53 (step @p77 :rule cong :premises (@p76 @p75) :args (@t48)) % 34.33/34.53 (step @p78 :rule cong :premises (@p77) :args (@t49)) % 34.33/34.53 (step @p79 :rule trans :premises (@p78 @p70)) % 34.33/34.53 (step @p80 :rule refl :args (@t23)) % 34.33/34.53 (step @p81 :rule nary_cong :premises (@p80 @p79) :args (@t50)) % 34.33/34.53 (step @p82 :rule refl :args (@t51)) % 34.33/34.53 (step @p83 :rule cong :premises (@p82 @p81) :args (@t52)) % 34.33/34.53 (step @p84 :rule cong :premises (@p83) :args (@t53)) % 34.33/34.53 (step @p85 :rule eq_resolve :premises (@p24 @p84)) % 34.33/34.53 (step @p86 :rule instantiate :premises (@p85) :args ((@list @t87))) % 34.33/34.53 (step @p87 :rule and_elim :premises (@p42) :args (1)) % 34.33/34.53 (step @p88 :rule cong :premises (@p87) :args (@t88)) % 34.33/34.53 (step @p89 :rule and_elim :premises (@p42) :args (0)) % 34.33/34.53 (step @p90 :rule eq_resolve :premises (@p89 @p88)) % 34.33/34.53 (step @p91 :rule cnf_equiv_pos1 :args (@t119)) % 34.33/34.53 (step @p92 :rule reordering :premises (@p91) :args ((or (not @t118) @t117 (not @t119)))) % 34.33/34.53 (step @p93 :rule chain_m_resolution :premises (@p92 @p90 @p86) :args (@t117 @t120 (@list @t118 @t119))) % 34.33/34.53 (step @p94 :rule cnf_and_pos :args (@t117 1)) % 34.33/34.53 (step @p95 :rule reordering :premises (@p94) :args ((or @t115 @t121))) % 34.33/34.53 (step @p96 :rule chain_m_resolution :premises (@p95 @p93) :args (@t115 @t122 @t123)) % 34.33/34.53 (step @p97 :rule instantiate :premises (@p96) :args ((@list tptp.xu tptp.xa @t125))) % 34.33/34.53 (step @p98 :rule refl :args (tptp.xu)) % 34.33/34.53 (step @p99 :rule cong :premises (@p98 @p87) :args (@t89)) % 34.33/34.53 (step @p100 :rule and_elim :premises (@p45) :args (0)) % 34.33/34.53 (step @p101 :rule eq_resolve :premises (@p100 @p99)) % 34.33/34.53 (step @p102 :rule cnf_or_pos :args (@t134)) % 34.33/34.53 (step @p103 :rule reordering :premises (@p102) :args ((or @t133 @t131 (not @t134)))) % 34.33/34.53 (step @p104 :rule chain_m_resolution :premises (@p103 @p101 @p97) :args (@t131 @t120 (@list @t132 @t134))) % 34.33/34.53 (step @p105 :rule cnf_and_pos :args (@t131 1)) % 34.33/34.53 (step @p106 :rule reordering :premises (@p105) :args ((or @t130 (not @t131)))) % 34.33/34.53 (step @p107 :rule chain_m_resolution :premises (@p106 @p104) :args (@t130 @t122 (@list @t131))) % 34.33/34.53 (step @p108 :rule aci_norm :args ((= (or @t139 @t136) (or @t138 @t137 @t136)))) % 34.33/34.53 (step @p109 :rule refl :args (@t136)) % 34.33/34.53 (step @p110 :rule bool-and-de-morgan :args (@t2 @t7 true)) % 34.33/34.53 (step @p111 :rule nary_cong :premises (@p110 @p109) :args ((or @t140 @t136))) % 34.33/34.53 (step @p112 :rule trans :premises (@p111 @p108)) % 34.33/34.53 (step @p113 :rule bool-impl-elim :args (@t8 @t136)) % 34.33/34.53 (step @p114 :rule trans :premises (@p113 @p112)) % 34.33/34.53 (step @p115 :rule cong :premises (@p114) :args ((forall @t9 (=> @t8 @t136)))) % 34.33/34.53 (step @p116 :rule bool-and-de-morgan :args (@t13 @t135 true)) % 34.33/34.53 (step @p117 :rule cong :premises (@p116) :args (@t142)) % 34.33/34.53 (step @p118 :rule cong :premises (@p117) :args (@t143)) % 34.33/34.53 (step @p119 :rule exists-elim :args ((= (exists @t31 @t141) @t143))) % 34.33/34.53 (step @p120 :rule trans :premises (@p119 @p118)) % 34.33/34.53 (step @p121 :rule eq-symm :args (@t19 @t5)) % 34.33/34.53 (step @p122 :rule refl :args (@t13)) % 34.33/34.53 (step @p123 :rule nary_cong :premises (@p122 @p121) :args (@t60)) % 34.33/34.53 (step @p124 :rule cong :premises (@p123) :args (@t61)) % 34.33/34.53 (step @p125 :rule trans :premises (@p124 @p120)) % 34.33/34.53 (step @p126 :rule refl :args (@t62)) % 34.33/34.53 (step @p127 :rule cong :premises (@p126 @p125) :args (@t63)) % 34.33/34.53 (step @p128 :rule refl :args (@t8)) % 34.33/34.53 (step @p129 :rule cong :premises (@p128 @p127) :args (@t64)) % 34.33/34.53 (step @p130 :rule cong :premises (@p129) :args (@t65)) % 34.33/34.53 (step @p131 :rule trans :premises (@p130 @p115)) % 34.33/34.53 (step @p132 :rule eq_resolve :premises (@p33 @p131)) % 34.33/34.53 (step @p133 :rule instantiate :premises (@p132) :args ((@list tptp.xu tptp.xc))) % 34.33/34.53 (step @p134 :rule quant-merge-prenex :args ((= (forall @t3 @t148) (forall (@list @t1 @t144) @t146)))) % 34.33/34.53 (step @p135 :rule alpha_equiv :args (@t149 (@list @t144) @t150)) % 34.33/34.53 (step @p136 :rule refl :args (@t138)) % 34.33/34.53 (step @p137 :rule nary_cong :premises (@p136 @p135) :args (@t151)) % 34.33/34.53 (step @p138 :rule quant-miniscope-or :args ((= @t148 @t151))) % 34.33/34.53 (step @p139 :rule trans :premises (@p138 @p137)) % 34.33/34.53 (step @p140 :rule symm :premises (@p139)) % 34.33/34.53 (step @p141 :rule cong :premises (@p140) :args ((forall @t3 (or @t138 @t66)))) % 34.33/34.53 (step @p142 :rule trans :premises (@p141 @p134)) % 34.33/34.53 (step @p143 :rule bool-impl-elim :args (@t2 @t66)) % 34.33/34.53 (step @p144 :rule cong :premises (@p143) :args (@t67)) % 34.33/34.53 (step @p145 :rule trans :premises (@p144 @p142)) % 34.33/34.53 (step @p146 :rule eq_resolve :premises (@p34 @p145)) % 34.33/34.53 (step @p147 :rule instantiate :premises (@p146) :args ((@list tptp.xa tptp.xc))) % 34.33/34.53 (step @p148 :rule and_elim :premises (@p39) :args (0)) % 34.33/34.53 (step @p149 :rule cnf_or_pos :args (@t157)) % 34.33/34.53 (step @p150 :rule reordering :premises (@p149) :args ((or @t156 @t155 (not @t157)))) % 34.33/34.53 (step @p151 :rule chain_m_resolution :premises (@p150 @p148 @p147) :args (@t155 @t120 (@list @t83 @t157))) % 34.33/34.53 (step @p152 :rule quant-merge-prenex :args ((= (forall @t9 @t164) (forall (@list @t1 @t5 @t158) @t162)))) % 34.33/34.53 (step @p153 :rule alpha_equiv :args (@t165 (@list @t158) @t106)) % 34.33/34.53 (step @p154 :rule refl :args (@t137)) % 34.33/34.53 (step @p155 :rule nary_cong :premises (@p136 @p154 @p153) :args (@t166)) % 34.33/34.53 (step @p156 :rule quant-miniscope-or :args ((= @t164 @t166))) % 34.33/34.53 (step @p157 :rule trans :premises (@p156 @p155)) % 34.33/34.53 (step @p158 :rule symm :premises (@p157)) % 34.33/34.53 (step @p159 :rule cong :premises (@p158) :args ((forall @t9 @t169))) % 34.33/34.53 (step @p160 :rule trans :premises (@p159 @p152)) % 34.33/34.53 (step @p161 :rule aci_norm :args ((= (or @t139 @t168) @t169))) % 34.33/34.53 (step @p162 :rule refl :args (@t168)) % 34.33/34.53 (step @p163 :rule nary_cong :premises (@p110 @p162) :args ((or @t140 @t168))) % 34.33/34.53 (step @p164 :rule trans :premises (@p163 @p161)) % 34.33/34.53 (step @p165 :rule bool-impl-elim :args (@t8 @t168)) % 34.33/34.53 (step @p166 :rule trans :premises (@p165 @p164)) % 34.33/34.53 (step @p167 :rule cong :premises (@p166) :args ((forall @t9 (=> @t8 @t168)))) % 34.33/34.53 (step @p168 :rule trans :premises (@p167 @p160)) % 34.33/34.53 (step @p169 :rule aci_norm :args ((= (or (or @t160 @t159) @t68) @t167))) % 34.33/34.53 (step @p170 :rule refl :args (@t68)) % 34.33/34.53 (step @p171 :rule bool-and-de-morgan :args (@t70 @t69 true)) % 34.33/34.53 (step @p172 :rule nary_cong :premises (@p171 @p170) :args ((or (not @t71) @t68))) % 34.33/34.53 (step @p173 :rule trans :premises (@p172 @p169)) % 34.33/34.53 (step @p174 :rule bool-impl-elim :args (@t71 @t68)) % 34.33/34.53 (step @p175 :rule trans :premises (@p174 @p173)) % 34.33/34.53 (step @p176 :rule cong :premises (@p175) :args (@t72)) % 34.33/34.53 (step @p177 :rule refl :args (@t73)) % 34.33/34.53 (step @p178 :rule refl :args (@t74)) % 34.33/34.53 (step @p179 :rule nary_cong :premises (@p178 @p177 @p176) :args (@t75)) % 34.33/34.53 (step @p180 :rule refl :args (@t76)) % 34.33/34.53 (step @p181 :rule cong :premises (@p180 @p179) :args (@t77)) % 34.33/34.53 (step @p182 :rule cong :premises (@p181) :args (@t78)) % 34.33/34.53 (step @p183 :rule cong :premises (@p128 @p182) :args (@t79)) % 34.33/34.53 (step @p184 :rule cong :premises (@p183) :args (@t80)) % 34.33/34.53 (step @p185 :rule trans :premises (@p184 @p168)) % 34.33/34.53 (step @p186 :rule eq_resolve :premises (@p35 @p185)) % 34.33/34.53 (step @p187 :rule instantiate :premises (@p186) :args ((@list tptp.xa tptp.xb tptp.xc))) % 34.33/34.53 (step @p188 :rule and_elim :premises (@p39) :args (1)) % 34.33/34.53 (step @p189 :rule cnf_or_pos :args (@t173)) % 34.33/34.53 (step @p190 :rule reordering :premises (@p189) :args ((or @t156 @t172 @t171 (not @t173)))) % 34.33/34.53 (step @p191 :rule chain_m_resolution :premises (@p190 @p148 @p188 @p187) :args (@t171 @t174 (@list @t83 @t82 @t173))) % 34.33/34.53 (step @p192 :rule cnf_equiv_pos1 :args (@t171)) % 34.33/34.53 (step @p193 :rule reordering :premises (@p192) :args ((or (not @t84) @t170 (not @t171)))) % 34.33/34.53 (step @p194 :rule chain_m_resolution :premises (@p193 @p41 @p191) :args (@t170 @t120 (@list @t84 @t171))) % 34.33/34.53 (step @p195 :rule cnf_and_pos :args (@t170 0)) % 34.33/34.53 (step @p196 :rule reordering :premises (@p195) :args ((or @t154 (not @t170)))) % 34.33/34.53 (step @p197 :rule chain_m_resolution :premises (@p196 @p194) :args (@t154 @t122 (@list @t170))) % 34.33/34.53 (step @p198 :rule cnf_equiv_pos1 :args (@t155)) % 34.33/34.53 (step @p199 :rule reordering :premises (@p198) :args ((or (not @t154) @t153 (not @t155)))) % 34.33/34.53 (step @p200 :rule chain_m_resolution :premises (@p199 @p197 @p151) :args (@t153 @t120 (@list @t154 @t155))) % 34.33/34.53 (step @p201 :rule cnf_and_pos :args (@t153 0)) % 34.33/34.53 (step @p202 :rule reordering :premises (@p201) :args ((or @t152 (not @t153)))) % 34.33/34.53 (step @p203 :rule chain_m_resolution :premises (@p202 @p200) :args (@t152 @t122 (@list @t153))) % 34.33/34.53 (step @p204 :rule aci_norm :args ((= @t180 (or @t178 @t177 @t176)))) % 34.33/34.53 (step @p205 :rule cong :premises (@p204) :args (@t181)) % 34.33/34.53 (step @p206 :rule quant-merge-prenex :args ((= (forall @t3 @t183) @t181))) % 34.33/34.53 (step @p207 :rule alpha_equiv :args (@t184 (@list @t175) @t150)) % 34.33/34.53 (step @p208 :rule refl :args (@t178)) % 34.33/34.53 (step @p209 :rule nary_cong :premises (@p208 @p207) :args (@t185)) % 34.33/34.53 (step @p210 :rule quant-miniscope-or :args ((= @t183 @t185))) % 34.33/34.53 (step @p211 :rule trans :premises (@p210 @p209)) % 34.33/34.53 (step @p212 :rule symm :premises (@p211)) % 34.33/34.53 (step @p213 :rule cong :premises (@p212) :args ((forall @t3 (or @t178 @t186)))) % 34.33/34.53 (step @p214 :rule trans :premises (@p213 @p206)) % 34.33/34.54 (step @p215 :rule trans :premises (@p214 @p205)) % 34.33/34.54 (step @p216 :rule bool-impl-elim :args (@t23 @t186)) % 34.33/34.54 (step @p217 :rule cong :premises (@p216) :args ((forall @t3 (=> @t23 @t186)))) % 34.33/34.54 (step @p218 :rule trans :premises (@p217 @p215)) % 34.33/34.54 (step @p219 :rule bool-impl-elim :args (@t24 @t7)) % 34.33/34.54 (step @p220 :rule cong :premises (@p219) :args (@t26)) % 34.33/34.54 (step @p221 :rule cong :premises (@p80 @p220) :args (@t27)) % 34.33/34.54 (step @p222 :rule cong :premises (@p221) :args (@t28)) % 34.33/34.54 (step @p223 :rule trans :premises (@p222 @p218)) % 34.33/34.54 (step @p224 :rule eq_resolve :premises (@p20 @p223)) % 34.33/34.54 (step @p225 :rule instantiate :premises (@p224) :args ((@list @t87 tptp.xu))) % 34.33/34.54 (step @p226 :rule cnf_and_pos :args (@t117 0)) % 34.33/34.54 (step @p227 :rule reordering :premises (@p226) :args ((or @t116 @t121))) % 34.33/34.54 (step @p228 :rule chain_m_resolution :premises (@p227 @p93) :args (@t116 @t122 @t123)) % 34.33/34.54 (step @p229 :rule cnf_or_pos :args (@t189)) % 34.33/34.54 (step @p230 :rule reordering :premises (@p229) :args ((or @t133 @t188 @t187 (not @t189)))) % 34.33/34.54 (step @p231 :rule chain_m_resolution :premises (@p230 @p101 @p228 @p225) :args (@t187 @t174 (@list @t132 @t116 @t189))) % 34.33/34.54 (step @p232 :rule cnf_or_pos :args (@t194)) % 34.33/34.54 (step @p233 :rule reordering :premises (@p232) :args ((or @t193 @t192 @t191 (not @t194)))) % 34.33/34.54 (step @p234 :rule chain_m_resolution :premises (@p233 @p231 @p203 @p133) :args (@t191 @t174 (@list @t187 @t152 @t194))) % 34.33/34.54 (step @p235 :rule cnf_equiv_pos1 :args (@t191)) % 34.33/34.54 (step @p236 :rule reordering :premises (@p235) :args ((or (not @t90) @t190 (not @t191)))) % 34.33/34.54 (step @p237 :rule chain_m_resolution :premises (@p236 @p47 @p234) :args (@t190 @t120 (@list @t90 @t191))) % 34.33/34.54 (step @p238 :rule skolemize :premises (@p237)) % 34.33/34.54 (step @p239 :rule bool-double-not-elim :args (@t128)) % 34.33/34.54 (step @p240 :rule refl :args (@t198)) % 34.33/34.54 (step @p241 :rule nary_cong :premises (@p240 @p239) :args ((or @t198 (not @t129)))) % 34.33/34.54 (step @p242 :rule cnf_or_neg :args (@t198 0)) % 34.33/34.54 (step @p243 :rule eq_resolve :premises (@p242 @p241)) % 34.33/34.54 (step @p244 :rule reordering :premises (@p243) :args ((or @t128 @t198))) % 34.33/34.54 (step @p245 :rule chain_m_resolution :premises (@p244 @p238) :args (@t128 @t199 @t200)) % 34.33/34.54 (step @p246 :rule cnf_or_pos :args (@t130)) % 34.33/34.54 (step @p247 :rule reordering :premises (@p246) :args ((or @t129 @t127 (not @t130)))) % 34.33/34.54 (step @p248 :rule chain_m_resolution :premises (@p247 @p245 @p107) :args (@t127 @t120 (@list @t128 @t130))) % 34.33/34.54 (step @p249 :rule true_intro :premises (@p248)) % 34.33/34.54 (step @p250 :rule refl :args (@t87)) % 34.33/34.54 (step @p251 :rule aci_norm :args ((= (or @t139 @t17) (or @t138 @t137 @t17)))) % 34.33/34.54 (step @p252 :rule refl :args (@t17)) % 34.33/34.54 (step @p253 :rule nary_cong :premises (@p110 @p252) :args ((or @t140 @t17))) % 34.33/34.54 (step @p254 :rule trans :premises (@p253 @p251)) % 34.33/34.54 (step @p255 :rule bool-impl-elim :args (@t8 @t17)) % 34.33/34.54 (step @p256 :rule trans :premises (@p255 @p254)) % 34.33/34.54 (step @p257 :rule cong :premises (@p256) :args (@t18)) % 34.33/34.54 (step @p258 :rule eq_resolve :premises (@p11 @p257)) % 34.33/34.54 (step @p259 :rule instantiate :premises (@p258) :args ((@list tptp.xu @t125))) % 34.33/34.54 (step @p260 :rule cnf_or_pos :args (@t202)) % 34.33/34.54 (step @p261 :rule reordering :premises (@p260) :args ((or @t193 @t129 @t201 (not @t202)))) % 34.33/34.54 (step @p262 :rule chain_m_resolution :premises (@p261 @p231 @p245 @p259) :args (@t201 @t174 (@list @t187 @t128 @t202))) % 34.33/34.54 (step @p263 :rule bool-double-not-elim :args (@t196)) % 34.33/34.54 (step @p264 :rule nary_cong :premises (@p240 @p263) :args ((or @t198 (not @t197)))) % 34.33/34.54 (step @p265 :rule cnf_or_neg :args (@t198 1)) % 34.33/34.54 (step @p266 :rule eq_resolve :premises (@p265 @p264)) % 34.33/34.54 (step @p267 :rule reordering :premises (@p266) :args ((or @t196 @t198))) % 34.33/34.54 (step @p268 :rule chain_m_resolution :premises (@p267 @p238) :args (@t196 @t199 @t200)) % 34.33/34.54 (step @p269 :rule trans :premises (@p268 @p262)) % 34.33/34.54 (step @p270 :rule cong :premises (@p269 @p250) :args (@t91)) % 34.33/34.54 (step @p271 :rule false_intro :premises (@p48)) % 34.33/34.54 (step @p272 :rule symm :premises (@p271)) % 34.33/34.54 (step @p273 :rule trans :premises (@p272 @p270 @p249)) % 34.33/34.54 (step @p274 false :rule eq_resolve :premises (@p273 @p50)) % 34.33/34.54 ) % 34.33/34.54 % SZS output end Proof % 34.33/34.54 % cvc5 exiting %------------------------------------------------------------------------------