%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG109+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 : n010.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 08:45:42 AM UTC 2026 % Result : Theorem 56.98s 57.19s % Output : Proof 33.96s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : RNG109+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 : n010.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 14:07:25 EDT 2026 % 0.19/0.35 % CPUTime : % 0.36/0.51 %----Proving TF0_NAR, FOF, or CNF % 56.98/57.19 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 56.98/57.19 --- Run --no-e-matching --full-saturate-quant at 6... % 56.98/57.19 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 56.98/57.19 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 56.98/57.19 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 56.98/57.19 % SZS status Theorem % 56.98/57.19 % SZS output start Proof % 56.98/57.19 ( % 56.98/57.19 (declare-sort $$unsorted 0) % 56.98/57.19 (declare-const tptp.xc $$unsorted) % 56.98/57.19 (declare-const tptp.xa $$unsorted) % 56.98/57.19 (declare-const tptp.xI $$unsorted) % 56.98/57.19 (declare-const tptp.slsdtgt0 (-> $$unsorted $$unsorted)) % 56.98/57.19 (declare-const tptp.aDivisorOf0 (-> $$unsorted $$unsorted Bool)) % 56.98/57.19 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 56.98/57.19 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 56.98/57.19 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 56.98/57.19 (declare-const tptp.sz00 $$unsorted) % 56.98/57.19 (declare-const tptp.sz10 $$unsorted) % 56.98/57.19 (declare-const tptp.aGcdOfAnd0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 56.98/57.19 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 56.98/57.20 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 56.98/57.20 (declare-const tptp.sdtasasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 56.98/57.20 (declare-const tptp.aIdeal0 (-> $$unsorted Bool)) % 56.98/57.20 (declare-const tptp.misRelativelyPrime0 (-> $$unsorted $$unsorted Bool)) % 56.98/57.20 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 56.98/57.20 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 56.98/57.20 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 56.98/57.20 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 56.98/57.20 (declare-const tptp.sdteqdtlpzmzozddtrp0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 56.98/57.20 (declare-const tptp.xb $$unsorted) % 56.98/57.20 (declare-const tptp.sdtpldt1 (-> $$unsorted $$unsorted $$unsorted)) % 56.98/57.20 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 56.98/57.20 (define @t1 () (@var "W0" $$unsorted)) % 56.98/57.20 (define @t2 () (tptp.aElement0 @t1)) % 56.98/57.20 (define @t3 () (@list @t1)) % 56.98/57.20 (define @t4 () (tptp.smndt0 @t1)) % 56.98/57.20 (define @t5 () (@var "W1" $$unsorted)) % 56.98/57.20 (define @t6 () (tptp.sdtpldt0 @t1 @t5)) % 56.98/57.20 (define @t7 () (tptp.aElement0 @t5)) % 56.98/57.20 (define @t8 () (and @t2 @t7)) % 56.98/57.20 (define @t9 () (@list @t1 @t5)) % 56.98/57.20 (define @t10 () (tptp.sdtasdt0 @t1 @t5)) % 56.98/57.20 (define @t11 () (@var "W2" $$unsorted)) % 56.98/57.20 (define @t12 () (tptp.sdtpldt0 @t5 @t11)) % 56.98/57.20 (define @t13 () (tptp.aElement0 @t11)) % 56.98/57.20 (define @t14 () (and @t2 @t7 @t13)) % 56.98/57.20 (define @t15 () (@list @t1 @t5 @t11)) % 56.98/57.20 (define @t16 () (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1))) % 56.98/57.20 (define @t17 () (tptp.sdtpldt0 @t1 tptp.sz00)) % 56.98/57.20 (define @t18 () (and (= @t17 @t1) @t16)) % 56.98/57.20 (define @t19 () (=> @t2 @t18)) % 56.98/57.20 (define @t20 () (forall @t3 @t19)) % 56.98/57.20 (define @t21 () (tptp.sdtasdt0 @t5 @t1)) % 56.98/57.20 (define @t22 () (tptp.sdtasdt0 @t1 @t11)) % 56.98/57.20 (define @t23 () (tptp.smndt0 tptp.sz10)) % 56.98/57.20 (define @t24 () (= @t5 tptp.sz00)) % 56.98/57.20 (define @t25 () (= @t1 tptp.sz00)) % 56.98/57.20 (define @t26 () (tptp.aSet0 @t1)) % 56.98/57.20 (define @t27 () (tptp.aElementOf0 @t5 @t1)) % 56.98/57.20 (define @t28 () (@list @t5)) % 56.98/57.20 (define @t29 () (tptp.aElementOf0 @t11 @t1)) % 56.98/57.20 (define @t30 () (tptp.aElementOf0 @t11 @t5)) % 56.98/57.20 (define @t31 () (@list @t11)) % 56.98/57.20 (define @t32 () (tptp.aSet0 @t5)) % 56.98/57.20 (define @t33 () (and @t26 @t32)) % 56.98/57.20 (define @t34 () (@var "W3" $$unsorted)) % 56.98/57.20 (define @t35 () (@var "W5" $$unsorted)) % 56.98/57.20 (define @t36 () (@var "W4" $$unsorted)) % 56.98/57.20 (define @t37 () (tptp.sdtpldt0 @t36 @t35)) % 56.98/57.20 (define @t38 () (tptp.aElementOf0 @t35 @t5)) % 56.98/57.20 (define @t39 () (tptp.aElementOf0 @t36 @t1)) % 56.98/57.20 (define @t40 () (and @t39 @t38 (= @t37 @t34))) % 56.98/57.20 (define @t41 () (@list @t36 @t35)) % 56.98/57.20 (define @t42 () (exists @t41 @t40)) % 56.98/57.20 (define @t43 () (tptp.aElementOf0 @t34 @t11)) % 56.98/57.20 (define @t44 () (= @t43 @t42)) % 56.98/57.20 (define @t45 () (@list @t34)) % 56.98/57.20 (define @t46 () (forall @t45 @t44)) % 56.98/57.20 (define @t47 () (tptp.aSet0 @t11)) % 56.98/57.20 (define @t48 () (and @t47 @t46)) % 56.98/57.20 (define @t49 () (tptp.sdtpldt1 @t1 @t5)) % 56.98/57.20 (define @t50 () (= @t11 @t49)) % 56.98/57.20 (define @t51 () (= @t50 @t48)) % 56.98/57.20 (define @t52 () (forall @t31 @t51)) % 56.98/57.20 (define @t53 () (=> @t33 @t52)) % 56.98/57.20 (define @t54 () (forall @t9 @t53)) % 56.98/57.20 (define @t55 () (tptp.sdtasasdt0 @t1 @t5)) % 56.98/57.20 (define @t56 () (tptp.sdtasdt0 @t11 @t5)) % 56.98/57.20 (define @t57 () (tptp.aElementOf0 @t56 @t1)) % 56.98/57.20 (define @t58 () (forall @t31 (=> @t13 @t57))) % 56.98/57.20 (define @t59 () (tptp.aElementOf0 @t12 @t1)) % 56.98/57.20 (define @t60 () (forall @t31 (=> @t29 @t59))) % 56.98/57.20 (define @t61 () (and @t60 @t58)) % 56.98/57.20 (define @t62 () (=> @t27 @t61)) % 56.98/57.20 (define @t63 () (forall @t28 @t62)) % 56.98/57.20 (define @t64 () (and @t26 @t63)) % 56.98/57.20 (define @t65 () (tptp.aIdeal0 @t1)) % 56.98/57.20 (define @t66 () (= @t65 @t64)) % 56.98/57.20 (define @t67 () (forall @t3 @t66)) % 56.98/57.20 (define @t68 () (and @t65 (tptp.aIdeal0 @t5))) % 56.98/57.20 (define @t69 () (tptp.aElement0 @t34)) % 56.98/57.20 (define @t70 () (@list @t11 @t34)) % 56.98/57.20 (define @t71 () (tptp.aNaturalNumber0 @t1)) % 56.98/57.20 (define @t72 () (not @t25)) % 56.98/57.20 (define @t73 () (tptp.slsdtgt0 @t1)) % 56.98/57.20 (define @t74 () (tptp.aIdeal0 @t73)) % 56.98/57.20 (define @t75 () (forall @t3 (=> @t2 @t74))) % 56.98/57.20 (define @t76 () (tptp.aElement0 tptp.xb)) % 56.98/57.20 (define @t77 () (tptp.aElement0 tptp.xa)) % 56.98/57.20 (define @t78 () (= tptp.xb tptp.sz00)) % 56.98/57.20 (define @t79 () (not @t78)) % 56.98/57.20 (define @t80 () (= tptp.xa tptp.sz00)) % 56.98/57.20 (define @t81 () (not @t80)) % 56.98/57.20 (define @t82 () (or @t81 @t79)) % 56.98/57.20 (define @t83 () (tptp.slsdtgt0 tptp.xb)) % 56.98/57.20 (define @t84 () (tptp.slsdtgt0 tptp.xa)) % 56.98/57.20 (define @t85 () (tptp.sdtpldt1 @t84 @t83)) % 56.98/57.20 (define @t86 () (tptp.aElementOf0 tptp.xb @t83)) % 56.98/57.20 (define @t87 () (tptp.aElementOf0 tptp.sz00 @t83)) % 56.98/57.20 (define @t88 () (tptp.aElementOf0 tptp.xa @t84)) % 56.98/57.20 (define @t89 () (tptp.aElementOf0 tptp.sz00 @t84)) % 56.98/57.20 (define @t90 () (tptp.aElementOf0 @t1 @t85)) % 56.98/57.20 (define @t91 () (and @t90 @t72)) % 56.98/57.20 (define @t92 () (exists @t3 @t91)) % 56.98/57.20 (define @t93 () (not @t92)) % 56.98/57.20 (define @t94 () (not @t90)) % 56.98/57.20 (define @t95 () (forall @t3 (or @t94 @t25))) % 56.98/57.20 (define @t96 () (forall @t3 (not @t91))) % 56.98/57.20 (define @t97 () (not @t96)) % 56.98/57.20 (define @t98 () (@var "BOUND_VARIABLE_7893" $$unsorted)) % 56.98/57.20 (define @t99 () (tptp.aElementOf0 @t34 @t98)) % 56.98/57.20 (define @t100 () (= @t34 @t37)) % 56.98/57.20 (define @t101 () (not @t100)) % 56.98/57.20 (define @t102 () (not @t38)) % 56.98/57.20 (define @t103 () (not @t39)) % 56.98/57.20 (define @t104 () (or @t103 @t102 @t101)) % 56.98/57.20 (define @t105 () (not (forall @t41 @t104))) % 56.98/57.20 (define @t106 () (forall @t45 (= @t99 @t105))) % 56.98/57.20 (define @t107 () (tptp.aSet0 @t98)) % 56.98/57.20 (define @t108 () (and @t107 @t106)) % 56.98/57.20 (define @t109 () (= (= @t98 @t49) @t108)) % 56.98/57.20 (define @t110 () (not @t32)) % 56.98/57.20 (define @t111 () (not @t26)) % 56.98/57.20 (define @t112 () (or @t111 @t110 @t109)) % 56.98/57.20 (define @t113 () (@list @t1 @t5 @t98)) % 56.98/57.20 (define @t114 () (forall @t113 @t112)) % 56.98/57.20 (define @t115 () (@list @t98)) % 56.98/57.20 (define @t116 () (forall @t115 @t112)) % 56.98/57.20 (define @t117 () (forall @t115 @t109)) % 56.98/57.20 (define @t118 () (@list @t11)) % 56.98/57.20 (define @t119 () (or @t111 @t110 @t117)) % 56.98/57.20 (define @t120 () (forall @t31 (= @t50 (and @t47 (forall @t45 (= @t43 @t105)))))) % 56.98/57.20 (define @t121 () (or @t111 @t110 @t120)) % 56.98/57.20 (define @t122 () (and @t39 @t38 @t100)) % 56.98/57.20 (define @t123 () (forall @t41 (not @t122))) % 56.98/57.20 (define @t124 () (not @t123)) % 56.98/57.20 (define @t125 () (not (tptp.aElementOf0 @t35 @t83))) % 56.98/57.20 (define @t126 () (not (tptp.aElementOf0 @t36 @t84))) % 56.98/57.20 (define @t127 () (not (forall @t41 (or @t126 @t125 @t101)))) % 56.98/57.20 (define @t128 () (tptp.aElementOf0 @t34 @t85)) % 56.98/57.20 (define @t129 () (forall @t45 (= @t128 @t127))) % 56.98/57.20 (define @t130 () (tptp.aSet0 @t85)) % 56.98/57.20 (define @t131 () (and @t130 @t129)) % 56.98/57.20 (define @t132 () (forall @t45 (= @t127 @t128))) % 56.98/57.20 (define @t133 () (and @t130 @t132)) % 56.98/57.20 (define @t134 () (= (= @t85 @t85) @t133)) % 56.98/57.20 (define @t135 () (tptp.aSet0 @t83)) % 56.98/57.20 (define @t136 () (not @t135)) % 56.98/57.20 (define @t137 () (tptp.aSet0 @t84)) % 56.98/57.20 (define @t138 () (not @t137)) % 56.98/57.20 (define @t139 () (or @t138 @t136 @t134)) % 56.98/57.20 (define @t140 () (forall @t113 (or @t111 @t110 (= (= @t49 @t98) (and @t107 (forall @t45 (= @t105 @t99))))))) % 56.98/57.20 (define @t141 () (or @t138 @t136 @t131)) % 56.98/57.20 (define @t142 () (@list false)) % 56.98/57.20 (define @t143 () (@var "BOUND_VARIABLE_7951" $$unsorted)) % 56.98/57.20 (define @t144 () (tptp.sdtasdt0 @t143 @t5)) % 56.98/57.20 (define @t145 () (not (tptp.aElement0 @t143))) % 56.98/57.20 (define @t146 () (or @t145 (tptp.aElementOf0 @t144 @t1))) % 56.98/57.20 (define @t147 () (@var "BOUND_VARIABLE_7944" $$unsorted)) % 56.98/57.20 (define @t148 () (tptp.sdtpldt0 @t5 @t147)) % 56.98/57.20 (define @t149 () (or (not (tptp.aElementOf0 @t147 @t1)) (tptp.aElementOf0 @t148 @t1))) % 56.98/57.20 (define @t150 () (and @t149 @t146)) % 56.98/57.20 (define @t151 () (not @t27)) % 56.98/57.20 (define @t152 () (or @t151 @t150)) % 56.98/57.20 (define @t153 () (@list @t5 @t147 @t143)) % 56.98/57.20 (define @t154 () (@list @t147 @t143)) % 56.98/57.20 (define @t155 () (forall @t154 @t152)) % 56.98/57.20 (define @t156 () (forall (@list @t143) @t146)) % 56.98/57.20 (define @t157 () (forall @t154 @t146)) % 56.98/57.20 (define @t158 () (forall (@list @t147) @t149)) % 56.98/57.20 (define @t159 () (forall @t154 @t149)) % 56.98/57.20 (define @t160 () (and @t159 @t157)) % 56.98/57.20 (define @t161 () (forall @t154 @t150)) % 56.98/57.20 (define @t162 () (or @t151 @t161)) % 56.98/57.20 (define @t163 () (and (forall @t31 (or (not @t29) @t59)) (forall @t31 (or (not @t13) @t57)))) % 56.98/57.20 (define @t164 () (@list tptp.xb)) % 56.98/57.20 (define @t165 () (tptp.aIdeal0 @t83)) % 56.98/57.20 (define @t166 () (not @t76)) % 56.98/57.20 (define @t167 () (or @t166 @t165)) % 56.98/57.20 (define @t168 () (@list false false)) % 56.98/57.20 (define @t169 () (and @t135 (forall @t153 (or (not (tptp.aElementOf0 @t5 @t83)) (and (or (not (tptp.aElementOf0 @t147 @t83)) (tptp.aElementOf0 @t148 @t83)) (or @t145 (tptp.aElementOf0 @t144 @t83))))))) % 56.98/57.20 (define @t170 () (= @t165 @t169)) % 56.98/57.20 (define @t171 () (@list tptp.xa)) % 56.98/57.20 (define @t172 () (tptp.aIdeal0 @t84)) % 56.98/57.20 (define @t173 () (not @t77)) % 56.98/57.20 (define @t174 () (or @t173 @t172)) % 56.98/57.20 (define @t175 () (and @t137 (forall @t153 (or (not (tptp.aElementOf0 @t5 @t84)) (and (or (not (tptp.aElementOf0 @t147 @t84)) (tptp.aElementOf0 @t148 @t84)) (or @t145 (tptp.aElementOf0 @t144 @t84))))))) % 56.98/57.20 (define @t176 () (= @t172 @t175)) % 56.98/57.20 (define @t177 () (@list false false false)) % 56.98/57.20 (define @t178 () (not (= tptp.xb @t37))) % 56.98/57.20 (define @t179 () (or @t126 @t125 @t178)) % 56.98/57.20 (define @t180 () (forall @t41 @t179)) % 56.98/57.20 (define @t181 () (not @t180)) % 56.98/57.20 (define @t182 () (tptp.aElementOf0 tptp.xb @t85)) % 56.98/57.20 (define @t183 () (= @t182 @t181)) % 56.98/57.20 (define @t184 () (forall @t41 (or @t126 @t125 (not (= @t37 tptp.xb))))) % 56.98/57.20 (define @t185 () (not @t184)) % 56.98/57.20 (define @t186 () (= @t182 @t185)) % 56.98/57.20 (define @t187 () (@list @t129)) % 56.98/57.20 (define @t188 () (and (= @t1 @t17) @t16)) % 56.98/57.20 (define @t189 () (tptp.sdtpldt0 tptp.sz00 tptp.xb)) % 56.98/57.20 (define @t190 () (= tptp.xb @t189)) % 56.98/57.20 (define @t191 () (and (= tptp.xb (tptp.sdtpldt0 tptp.xb tptp.sz00)) @t190)) % 56.98/57.20 (define @t192 () (or @t166 @t191)) % 56.98/57.20 (define @t193 () (not @t190)) % 56.98/57.20 (define @t194 () (not @t86)) % 56.98/57.20 (define @t195 () (not @t89)) % 56.98/57.20 (define @t196 () (or @t195 @t194 @t193)) % 56.98/57.20 (define @t197 () (not @t196)) % 56.98/57.20 (define @t198 () (not (= @t189 tptp.xb))) % 56.98/57.20 (define @t199 () (or @t195 @t194 @t198)) % 56.98/57.20 (define @t200 () (@list true)) % 56.98/57.20 (define @t201 () (not @t186)) % 56.98/57.20 (define @t202 () (@list true false)) % 56.98/57.20 (define @t203 () (tptp.aElementOf0 tptp.xa @t85)) % 56.98/57.20 (define @t204 () (not @t203)) % 56.98/57.20 (define @t205 () (or @t204 @t80)) % 56.98/57.20 (define @t206 () (= tptp.sz00 tptp.xa)) % 56.98/57.20 (define @t207 () (or @t204 @t206)) % 56.98/57.20 (define @t208 () (not (= tptp.xa @t37))) % 56.98/57.20 (define @t209 () (or @t126 @t125 @t208)) % 56.98/57.20 (define @t210 () (forall @t41 @t209)) % 56.98/57.20 (define @t211 () (not @t210)) % 56.98/57.20 (define @t212 () (= @t203 @t211)) % 56.98/57.20 (define @t213 () (forall @t41 (or @t126 @t125 (not (= @t37 tptp.xa))))) % 56.98/57.20 (define @t214 () (not @t213)) % 56.98/57.20 (define @t215 () (= @t203 @t214)) % 56.98/57.20 (define @t216 () (tptp.sdtpldt0 tptp.xa tptp.sz00)) % 56.98/57.20 (define @t217 () (= tptp.xa @t216)) % 56.98/57.20 (define @t218 () (and @t217 (= tptp.xa (tptp.sdtpldt0 tptp.sz00 tptp.xa)))) % 56.98/57.20 (define @t219 () (or @t173 @t218)) % 56.98/57.20 (define @t220 () (not @t217)) % 56.98/57.20 (define @t221 () (not @t87)) % 56.98/57.20 (define @t222 () (not @t88)) % 56.98/57.20 (define @t223 () (or @t222 @t221 @t220)) % 56.98/57.20 (define @t224 () (not @t223)) % 56.98/57.20 (define @t225 () (not (= @t216 tptp.xa))) % 56.98/57.20 (define @t226 () (or @t222 @t221 @t225)) % 56.98/57.20 (define @t227 () (not @t215)) % 56.98/57.20 (define @t228 () (= tptp.sz00 tptp.xb)) % 56.98/57.20 (define @t229 () (not @t182)) % 56.98/57.20 (define @t230 () (or @t229 @t228)) % 56.98/57.20 (define @t231 () (not @t230)) % 56.98/57.20 (define @t232 () (or @t229 @t78)) % 56.98/57.20 (assume @p1 (forall @t3 (=> @t2 true))) % 56.98/57.20 (assume @p2 (tptp.aElement0 tptp.sz00)) % 56.98/57.20 (assume @p3 (tptp.aElement0 tptp.sz10)) % 56.98/57.20 (assume @p4 (forall @t3 (=> @t2 (tptp.aElement0 @t4)))) % 56.98/57.20 (assume @p5 (forall @t9 (=> @t8 (tptp.aElement0 @t6)))) % 56.98/57.20 (assume @p6 (forall @t9 (=> @t8 (tptp.aElement0 @t10)))) % 56.98/57.20 (assume @p7 (forall @t9 (=> @t8 (= @t6 (tptp.sdtpldt0 @t5 @t1))))) % 56.98/57.20 (assume @p8 (forall @t15 (=> @t14 (= (tptp.sdtpldt0 @t6 @t11) (tptp.sdtpldt0 @t1 @t12))))) % 56.98/57.20 (assume @p9 @t20) % 56.98/57.20 (assume @p10 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 @t4) tptp.sz00) (= tptp.sz00 (tptp.sdtpldt0 @t4 @t1)))))) % 56.98/57.20 (assume @p11 (forall @t9 (=> @t8 (= @t10 @t21)))) % 56.98/57.20 (assume @p12 (forall @t15 (=> @t14 (= (tptp.sdtasdt0 @t10 @t11) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t5 @t11)))))) % 56.98/57.20 (assume @p13 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 56.98/57.20 (assume @p14 (forall @t15 (=> @t14 (and (= (tptp.sdtasdt0 @t1 @t12) (tptp.sdtpldt0 @t10 @t22)) (= (tptp.sdtasdt0 @t12 @t1) (tptp.sdtpldt0 @t21 (tptp.sdtasdt0 @t11 @t1))))))) % 56.98/57.20 (assume @p15 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t23 @t1) @t4) (= @t4 (tptp.sdtasdt0 @t1 @t23)))))) % 56.98/57.20 (assume @p16 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 56.98/57.20 (assume @p17 (forall @t9 (=> @t8 (=> (= @t10 tptp.sz00) (or @t25 @t24))))) % 56.98/57.20 (assume @p18 (not (= tptp.sz10 tptp.sz00))) % 56.98/57.20 (assume @p19 (forall @t3 (=> @t26 true))) % 56.98/57.20 (assume @p20 (forall @t3 (=> @t26 (forall @t28 (=> @t27 @t7))))) % 56.98/57.20 (assume @p21 (forall @t9 (=> @t33 (=> (and (forall @t31 (=> @t29 @t30)) (forall @t31 (=> @t30 @t29))) (= @t1 @t5))))) % 56.98/57.20 (assume @p22 @t54) % 56.98/57.20 (assume @p23 (forall @t9 (=> @t33 (forall @t31 (= (= @t11 @t55) (and @t47 (forall @t45 (= @t43 (and (tptp.aElementOf0 @t34 @t1) (tptp.aElementOf0 @t34 @t5)))))))))) % 56.98/57.20 (assume @p24 @t67) % 56.98/57.20 (assume @p25 (forall @t9 (=> @t68 (tptp.aIdeal0 @t49)))) % 56.98/57.20 (assume @p26 (forall @t9 (=> @t68 (tptp.aIdeal0 @t55)))) % 56.98/57.20 (assume @p27 (forall @t15 (=> (and @t2 @t7 (tptp.aIdeal0 @t11)) (= (tptp.sdteqdtlpzmzozddtrp0 @t1 @t5 @t11) (tptp.aElementOf0 (tptp.sdtpldt0 @t1 (tptp.smndt0 @t5)) @t11))))) % 56.98/57.20 (assume @p28 (forall @t9 (=> @t68 (=> (forall @t31 (=> @t13 (tptp.aElementOf0 @t11 @t49))) (forall @t70 (=> (and @t13 @t69) (exists (@list @t36) (and (tptp.aElement0 @t36) (tptp.sdteqdtlpzmzozddtrp0 @t36 @t11 @t1) (tptp.sdteqdtlpzmzozddtrp0 @t36 @t34 @t5))))))))) % 56.98/57.20 (assume @p29 (forall @t3 (=> @t71 true))) % 56.98/57.20 (assume @p30 (forall @t3 (=> (and @t2 @t72) (tptp.aNaturalNumber0 (tptp.sbrdtbr0 @t1))))) % 56.98/57.20 (assume @p31 (forall @t9 (=> (and @t71 (tptp.aNaturalNumber0 @t5)) (=> (tptp.iLess0 @t1 @t5) true)))) % 56.98/57.20 (assume @p32 (forall @t9 (=> (and @t2 @t7 (not @t24)) (exists @t70 (and @t13 @t69 (= @t1 (tptp.sdtpldt0 @t56 @t34)) (=> (not (= @t34 tptp.sz00)) (tptp.iLess0 (tptp.sbrdtbr0 @t34) (tptp.sbrdtbr0 @t5)))))))) % 56.98/57.20 (assume @p33 (forall @t9 (=> @t8 (= (tptp.doDivides0 @t1 @t5) (exists @t31 (and @t13 (= @t22 @t5))))))) % 56.98/57.20 (assume @p34 (forall @t3 (=> @t2 (forall @t28 (= (tptp.aDivisorOf0 @t5 @t1) (and @t7 (tptp.doDivides0 @t5 @t1))))))) % 56.98/57.20 (assume @p35 (forall @t9 (=> @t8 (forall @t31 (= (tptp.aGcdOfAnd0 @t11 @t1 @t5) (and (tptp.aDivisorOf0 @t11 @t1) (tptp.aDivisorOf0 @t11 @t5) (forall @t45 (=> (and (tptp.aDivisorOf0 @t34 @t1) (tptp.aDivisorOf0 @t34 @t5)) (tptp.doDivides0 @t34 @t11))))))))) % 56.98/57.20 (assume @p36 (forall @t9 (=> @t8 (= (tptp.misRelativelyPrime0 @t1 @t5) (tptp.aGcdOfAnd0 tptp.sz10 @t1 @t5))))) % 56.98/57.20 (assume @p37 (forall @t3 (=> @t2 (forall @t28 (= (= @t5 @t73) (and @t32 (forall @t31 (= @t30 (exists @t45 (and @t69 (= (tptp.sdtasdt0 @t1 @t34) @t11))))))))))) % 56.98/57.20 (assume @p38 @t75) % 56.98/57.20 (assume @p39 (and @t77 @t76)) % 56.98/57.20 (assume @p40 @t82) % 56.98/57.20 (assume @p41 (tptp.aGcdOfAnd0 tptp.xc tptp.xa tptp.xb)) % 56.98/57.20 (assume @p42 (and (tptp.aIdeal0 tptp.xI) (= tptp.xI @t85))) % 56.98/57.20 (assume @p43 (and @t89 @t88 @t87 @t86)) % 56.98/57.20 (assume @p44 @t93) % 56.98/57.20 (assume @p45 true) % 56.98/57.20 (step @p46 :rule bool-double-not-elim :args (@t95)) % 56.98/57.20 (step @p47 :rule bool-double-not-elim :args (@t25)) % 56.98/57.20 (step @p48 :rule refl :args (@t94)) % 56.98/57.20 (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((or @t94 (not @t72)))) % 56.98/57.20 (step @p50 :rule bool-and-de-morgan :args (@t90 @t72 true)) % 56.98/57.20 (step @p51 :rule trans :premises (@p50 @p49)) % 56.98/57.20 (step @p52 :rule cong :premises (@p51) :args (@t96)) % 56.98/57.20 (step @p53 :rule cong :premises (@p52) :args (@t97)) % 56.98/57.20 (step @p54 :rule exists-elim :args ((= @t92 @t97))) % 56.98/57.20 (step @p55 :rule trans :premises (@p54 @p53)) % 56.98/57.20 (step @p56 :rule cong :premises (@p55) :args (@t93)) % 56.98/57.20 (step @p57 :rule trans :premises (@p56 @p46)) % 56.98/57.20 (step @p58 :rule eq_resolve :premises (@p44 @p57)) % 56.98/57.20 (step @p59 :rule eq-symm :args (@t99 @t105)) % 56.98/57.20 (step @p60 :rule cong :premises (@p59) :args (@t106)) % 56.98/57.20 (step @p61 :rule refl :args (@t107)) % 56.98/57.20 (step @p62 :rule nary_cong :premises (@p61 @p60) :args (@t108)) % 56.98/57.20 (step @p63 :rule eq-symm :args (@t98 @t49)) % 56.98/57.20 (step @p64 :rule cong :premises (@p63 @p62) :args (@t109)) % 56.98/57.20 (step @p65 :rule refl :args (@t110)) % 56.98/57.20 (step @p66 :rule refl :args (@t111)) % 56.98/57.20 (step @p67 :rule nary_cong :premises (@p66 @p65 @p64) :args (@t112)) % 56.98/57.20 (step @p68 :rule cong :premises (@p67) :args (@t114)) % 56.98/57.20 (step @p69 :rule quant-merge-prenex :args ((= (forall @t9 @t116) @t114))) % 56.98/57.20 (step @p70 :rule alpha_equiv :args (@t117 (@list @t98) @t118)) % 56.98/57.20 (step @p71 :rule refl :args (@t110)) % 56.98/57.20 (step @p72 :rule refl :args (@t111)) % 56.98/57.20 (step @p73 :rule nary_cong :premises (@p72 @p71 @p70) :args (@t119)) % 56.98/57.20 (step @p74 :rule quant-miniscope-or :args ((= @t116 @t119))) % 56.98/57.20 (step @p75 :rule trans :premises (@p74 @p73)) % 56.98/57.20 (step @p76 :rule symm :premises (@p75)) % 56.98/57.20 (step @p77 :rule cong :premises (@p76) :args ((forall @t9 @t121))) % 56.98/57.20 (step @p78 :rule trans :premises (@p77 @p69)) % 56.98/57.20 (step @p79 :rule trans :premises (@p78 @p68)) % 56.98/57.20 (step @p80 :rule aci_norm :args ((= (or (or @t111 @t110) @t120) @t121))) % 56.98/57.20 (step @p81 :rule refl :args (@t120)) % 56.98/57.20 (step @p82 :rule bool-and-de-morgan :args (@t26 @t32 true)) % 56.98/57.20 (step @p83 :rule nary_cong :premises (@p82 @p81) :args ((or (not @t33) @t120))) % 56.98/57.20 (step @p84 :rule trans :premises (@p83 @p80)) % 56.98/57.20 (step @p85 :rule bool-impl-elim :args (@t33 @t120)) % 56.98/57.20 (step @p86 :rule trans :premises (@p85 @p84)) % 56.98/57.20 (step @p87 :rule cong :premises (@p86) :args ((forall @t9 (=> @t33 @t120)))) % 56.98/57.20 (step @p88 :rule trans :premises (@p87 @p79)) % 56.98/57.20 (step @p89 :rule aci_norm :args ((= (or @t103 (or @t102 @t101)) @t104))) % 56.98/57.20 (step @p90 :rule bool-and-de-morgan :args (@t38 @t100 true)) % 56.98/57.20 (step @p91 :rule refl :args (@t103)) % 56.98/57.20 (step @p92 :rule nary_cong :premises (@p91 @p90) :args ((or @t103 (not (and @t38 @t100))))) % 56.98/57.20 (step @p93 :rule bool-and-de-morgan :args (@t39 @t38 (and @t100))) % 56.98/57.20 (step @p94 :rule trans :premises (@p93 @p92)) % 56.98/57.20 (step @p95 :rule trans :premises (@p94 @p89)) % 56.98/57.20 (step @p96 :rule cong :premises (@p95) :args (@t123)) % 56.98/57.20 (step @p97 :rule cong :premises (@p96) :args (@t124)) % 56.98/57.20 (step @p98 :rule exists-elim :args ((= (exists @t41 @t122) @t124))) % 56.98/57.20 (step @p99 :rule trans :premises (@p98 @p97)) % 56.98/57.20 (step @p100 :rule eq-symm :args (@t37 @t34)) % 56.98/57.20 (step @p101 :rule refl :args (@t38)) % 56.98/57.20 (step @p102 :rule refl :args (@t39)) % 56.98/57.20 (step @p103 :rule nary_cong :premises (@p102 @p101 @p100) :args (@t40)) % 56.98/57.20 (step @p104 :rule cong :premises (@p103) :args (@t42)) % 56.98/57.20 (step @p105 :rule trans :premises (@p104 @p99)) % 56.98/57.20 (step @p106 :rule refl :args (@t43)) % 56.98/57.20 (step @p107 :rule cong :premises (@p106 @p105) :args (@t44)) % 56.98/57.20 (step @p108 :rule cong :premises (@p107) :args (@t46)) % 56.98/57.20 (step @p109 :rule refl :args (@t47)) % 56.98/57.20 (step @p110 :rule nary_cong :premises (@p109 @p108) :args (@t48)) % 56.98/57.20 (step @p111 :rule refl :args (@t50)) % 56.98/57.20 (step @p112 :rule cong :premises (@p111 @p110) :args (@t51)) % 56.98/57.20 (step @p113 :rule cong :premises (@p112) :args (@t52)) % 56.98/57.20 (step @p114 :rule refl :args (@t33)) % 56.98/57.20 (step @p115 :rule cong :premises (@p114 @p113) :args (@t53)) % 56.98/57.20 (step @p116 :rule cong :premises (@p115) :args (@t54)) % 56.98/57.20 (step @p117 :rule trans :premises (@p116 @p88)) % 56.98/57.20 (step @p118 :rule eq_resolve :premises (@p22 @p117)) % 56.98/57.20 (step @p119 :rule bool-eq-true :args (@t131)) % 56.98/57.20 (step @p120 :rule eq-symm :args (true @t131)) % 56.98/57.20 (step @p121 :rule trans :premises (@p120 @p119)) % 56.98/57.20 (step @p122 :rule eq-symm :args (@t127 @t128)) % 56.98/57.20 (step @p123 :rule cong :premises (@p122) :args (@t132)) % 56.98/57.20 (step @p124 :rule refl :args (@t130)) % 56.98/57.20 (step @p125 :rule nary_cong :premises (@p124 @p123) :args (@t133)) % 56.98/57.20 (step @p126 :rule eq-refl :args (@t85)) % 56.98/57.20 (step @p127 :rule cong :premises (@p126 @p125) :args (@t134)) % 56.98/57.20 (step @p128 :rule trans :premises (@p127 @p121)) % 56.98/57.20 (step @p129 :rule refl :args (@t136)) % 56.98/57.20 (step @p130 :rule refl :args (@t138)) % 56.98/57.20 (step @p131 :rule nary_cong :premises (@p130 @p129 @p128) :args (@t139)) % 56.98/57.20 (step @p132 :rule refl :args (@t140)) % 56.98/57.20 (step @p133 :rule cong :premises (@p132 @p131) :args ((=> @t140 @t139))) % 56.98/57.20 (assume-push @p352 @t140) % 56.98/57.20 (step @p135 :rule instantiate :premises (@p118) :args ((@list @t84 @t83 @t85))) % 56.98/57.20 (step-pop @p353 :rule scope :premises (@p135)) % 56.98/57.20 (step @p136 :rule process_scope :premises (@p353) :args (@t139)) % 56.98/57.20 (step @p138 :rule eq_resolve :premises (@p136 @p133)) % 56.98/57.20 (step @p139 :rule implies_elim :premises (@p138)) % 56.98/57.20 (step @p140 :rule chain_m_resolution :premises (@p139 @p118) :args (@t141 @t142 (@list @t140))) % 56.98/57.20 (step @p141 :rule quant-merge-prenex :args ((= (forall @t28 @t155) (forall @t153 @t152)))) % 56.98/57.20 (step @p142 :rule alpha_equiv :args (@t156 (@list @t143) @t118)) % 56.98/57.20 (step @p143 :rule quant-unused-vars :args ((= @t157 @t156))) % 56.98/57.20 (step @p144 :rule trans :premises (@p143 @p142)) % 56.98/57.20 (step @p145 :rule alpha_equiv :args (@t158 (@list @t147) @t118)) % 56.98/57.20 (step @p146 :rule quant-unused-vars :args ((= @t159 @t158))) % 56.98/57.20 (step @p147 :rule trans :premises (@p146 @p145)) % 56.98/57.20 (step @p148 :rule nary_cong :premises (@p147 @p144) :args (@t160)) % 56.98/57.20 (step @p149 :rule quant-miniscope-and :args ((= @t161 @t160))) % 56.98/57.20 (step @p150 :rule trans :premises (@p149 @p148)) % 56.98/57.20 (step @p151 :rule refl :args (@t151)) % 56.98/57.20 (step @p152 :rule nary_cong :premises (@p151 @p150) :args (@t162)) % 56.98/57.20 (step @p153 :rule quant-miniscope-or :args ((= @t155 @t162))) % 56.98/57.20 (step @p154 :rule trans :premises (@p153 @p152)) % 56.98/57.20 (step @p155 :rule symm :premises (@p154)) % 56.98/57.20 (step @p156 :rule cong :premises (@p155) :args ((forall @t28 (or @t151 @t163)))) % 56.98/57.20 (step @p157 :rule trans :premises (@p156 @p141)) % 56.98/57.20 (step @p158 :rule bool-impl-elim :args (@t27 @t163)) % 56.98/57.20 (step @p159 :rule cong :premises (@p158) :args ((forall @t28 (=> @t27 @t163)))) % 56.98/57.20 (step @p160 :rule trans :premises (@p159 @p157)) % 56.98/57.20 (step @p161 :rule bool-impl-elim :args (@t13 @t57)) % 56.98/57.20 (step @p162 :rule cong :premises (@p161) :args (@t58)) % 56.98/57.20 (step @p163 :rule bool-impl-elim :args (@t29 @t59)) % 56.98/57.20 (step @p164 :rule cong :premises (@p163) :args (@t60)) % 56.98/57.20 (step @p165 :rule nary_cong :premises (@p164 @p162) :args (@t61)) % 56.98/57.20 (step @p166 :rule refl :args (@t27)) % 56.98/57.20 (step @p167 :rule cong :premises (@p166 @p165) :args (@t62)) % 56.98/57.20 (step @p168 :rule cong :premises (@p167) :args (@t63)) % 56.98/57.20 (step @p169 :rule trans :premises (@p168 @p160)) % 56.98/57.20 (step @p170 :rule refl :args (@t26)) % 56.98/57.20 (step @p171 :rule nary_cong :premises (@p170 @p169) :args (@t64)) % 56.98/57.20 (step @p172 :rule refl :args (@t65)) % 56.98/57.20 (step @p173 :rule cong :premises (@p172 @p171) :args (@t66)) % 56.98/57.20 (step @p174 :rule cong :premises (@p173) :args (@t67)) % 56.98/57.20 (step @p175 :rule eq_resolve :premises (@p24 @p174)) % 56.98/57.20 (step @p176 :rule instantiate :premises (@p175) :args ((@list @t83))) % 56.98/57.20 (step @p177 :rule bool-impl-elim :args (@t2 @t74)) % 56.98/57.20 (step @p178 :rule cong :premises (@p177) :args (@t75)) % 56.98/57.20 (step @p179 :rule eq_resolve :premises (@p38 @p178)) % 56.98/57.20 (step @p180 :rule instantiate :premises (@p179) :args (@t164)) % 56.98/57.20 (step @p181 :rule and_elim :premises (@p39) :args (1)) % 56.98/57.20 (step @p182 :rule cnf_or_pos :args (@t167)) % 56.98/57.20 (step @p183 :rule reordering :premises (@p182) :args ((or @t166 @t165 (not @t167)))) % 56.98/57.20 (step @p184 :rule chain_m_resolution :premises (@p183 @p181 @p180) :args (@t165 @t168 (@list @t76 @t167))) % 56.98/57.20 (step @p185 :rule cnf_equiv_pos1 :args (@t170)) % 56.98/57.20 (step @p186 :rule reordering :premises (@p185) :args ((or (not @t165) @t169 (not @t170)))) % 56.98/57.20 (step @p187 :rule chain_m_resolution :premises (@p186 @p184 @p176) :args (@t169 @t168 (@list @t165 @t170))) % 56.98/57.20 (step @p188 :rule cnf_and_pos :args (@t169 0)) % 56.98/57.20 (step @p189 :rule reordering :premises (@p188) :args ((or @t135 (not @t169)))) % 56.98/57.20 (step @p190 :rule chain_m_resolution :premises (@p189 @p187) :args (@t135 @t142 (@list @t169))) % 56.98/57.20 (step @p191 :rule instantiate :premises (@p175) :args ((@list @t84))) % 56.98/57.20 (step @p192 :rule instantiate :premises (@p179) :args (@t171)) % 56.98/57.20 (step @p193 :rule and_elim :premises (@p39) :args (0)) % 56.98/57.20 (step @p194 :rule cnf_or_pos :args (@t174)) % 56.98/57.20 (step @p195 :rule reordering :premises (@p194) :args ((or @t173 @t172 (not @t174)))) % 56.98/57.20 (step @p196 :rule chain_m_resolution :premises (@p195 @p193 @p192) :args (@t172 @t168 (@list @t77 @t174))) % 56.98/57.20 (step @p197 :rule cnf_equiv_pos1 :args (@t176)) % 56.98/57.20 (step @p198 :rule reordering :premises (@p197) :args ((or (not @t172) @t175 (not @t176)))) % 56.98/57.20 (step @p199 :rule chain_m_resolution :premises (@p198 @p196 @p191) :args (@t175 @t168 (@list @t172 @t176))) % 56.98/57.20 (step @p200 :rule cnf_and_pos :args (@t175 0)) % 56.98/57.20 (step @p201 :rule reordering :premises (@p200) :args ((or @t137 (not @t175)))) % 56.98/57.20 (step @p202 :rule chain_m_resolution :premises (@p201 @p199) :args (@t137 @t142 (@list @t175))) % 56.98/57.20 (step @p203 :rule cnf_or_pos :args (@t141)) % 56.98/57.20 (step @p204 :rule reordering :premises (@p203) :args ((or @t138 @t136 @t131 (not @t141)))) % 56.98/57.20 (step @p205 :rule chain_m_resolution :premises (@p204 @p202 @p190 @p140) :args (@t131 @t177 (@list @t137 @t135 @t141))) % 56.98/57.20 (step @p206 :rule cnf_and_pos :args (@t131 1)) % 56.98/57.20 (step @p207 :rule reordering :premises (@p206) :args ((or @t129 (not @t131)))) % 56.98/57.20 (step @p208 :rule chain_m_resolution :premises (@p207 @p205) :args (@t129 @t142 (@list @t131))) % 56.98/57.20 (step @p209 :rule eq-symm :args (tptp.xb @t37)) % 56.98/57.20 (step @p210 :rule cong :premises (@p209) :args (@t178)) % 56.98/57.20 (step @p211 :rule refl :args (@t125)) % 56.98/57.20 (step @p212 :rule refl :args (@t126)) % 56.98/57.20 (step @p213 :rule nary_cong :premises (@p212 @p211 @p210) :args (@t179)) % 56.98/57.20 (step @p214 :rule cong :premises (@p213) :args (@t180)) % 56.98/57.20 (step @p215 :rule cong :premises (@p214) :args (@t181)) % 56.98/57.20 (step @p216 :rule refl :args (@t182)) % 56.98/57.20 (step @p217 :rule cong :premises (@p216 @p215) :args (@t183)) % 56.98/57.20 (step @p218 :rule refl :args (@t129)) % 56.98/57.20 (step @p219 :rule cong :premises (@p218 @p217) :args ((=> @t129 @t183))) % 56.98/57.20 (assume-push @p354 @t129) % 56.98/57.20 (step @p221 :rule instantiate :premises (@p208) :args (@t164)) % 56.98/57.20 (step-pop @p355 :rule scope :premises (@p221)) % 56.98/57.20 (step @p222 :rule process_scope :premises (@p355) :args (@t183)) % 56.98/57.20 (step @p224 :rule eq_resolve :premises (@p222 @p219)) % 56.98/57.20 (step @p225 :rule implies_elim :premises (@p224)) % 56.98/57.20 (step @p226 :rule chain_m_resolution :premises (@p225 @p208) :args (@t186 @t142 @t187)) % 56.98/57.20 (step @p227 :rule bool-impl-elim :args (@t2 @t188)) % 56.98/57.20 (step @p228 :rule cong :premises (@p227) :args ((forall @t3 (=> @t2 @t188)))) % 56.98/57.20 (step @p229 :rule refl :args (@t16)) % 56.98/57.20 (step @p230 :rule eq-symm :args (@t17 @t1)) % 56.98/57.20 (step @p231 :rule nary_cong :premises (@p230 @p229) :args (@t18)) % 56.98/57.20 (step @p232 :rule refl :args (@t2)) % 56.98/57.20 (step @p233 :rule cong :premises (@p232 @p231) :args (@t19)) % 56.98/57.20 (step @p234 :rule cong :premises (@p233) :args (@t20)) % 56.98/57.20 (step @p235 :rule trans :premises (@p234 @p228)) % 56.98/57.20 (step @p236 :rule eq_resolve :premises (@p9 @p235)) % 56.98/57.20 (step @p237 :rule instantiate :premises (@p236) :args (@t164)) % 56.98/57.20 (step @p238 :rule cnf_or_pos :args (@t192)) % 56.98/57.20 (step @p239 :rule reordering :premises (@p238) :args ((or @t166 @t191 (not @t192)))) % 56.98/57.20 (step @p240 :rule chain_m_resolution :premises (@p239 @p181 @p237) :args (@t191 @t168 (@list @t76 @t192))) % 56.98/57.20 (step @p241 :rule cnf_and_pos :args (@t191 1)) % 56.98/57.20 (step @p242 :rule reordering :premises (@p241) :args ((or @t190 (not @t191)))) % 56.98/57.20 (step @p243 :rule chain_m_resolution :premises (@p242 @p240) :args (@t190 @t142 (@list @t191))) % 56.98/57.20 (step @p244 :rule and_elim :premises (@p43) :args (3)) % 56.98/57.20 (step @p245 :rule and_elim :premises (@p43) :args (0)) % 56.98/57.20 (step @p246 :rule cnf_or_pos :args (@t196)) % 56.98/57.20 (step @p247 :rule reordering :premises (@p246) :args ((or @t195 @t194 @t193 @t197))) % 56.98/57.20 (step @p248 :rule chain_m_resolution :premises (@p247 @p245 @p244 @p243) :args (@t197 @t177 (@list @t89 @t86 @t190))) % 56.98/57.20 (step @p249 :rule eq-symm :args (@t189 tptp.xb)) % 56.98/57.20 (step @p250 :rule cong :premises (@p249) :args (@t198)) % 56.98/57.20 (step @p251 :rule refl :args (@t194)) % 56.98/57.20 (step @p252 :rule refl :args (@t195)) % 56.98/57.20 (step @p253 :rule nary_cong :premises (@p252 @p251 @p250) :args (@t199)) % 56.98/57.20 (step @p254 :rule refl :args (@t184)) % 56.98/57.20 (step @p255 :rule cong :premises (@p254 @p253) :args ((=> @t184 @t199))) % 56.98/57.20 (assume-push @p356 @t184) % 56.98/57.20 (step @p257 :rule instantiate :premises (@p356) :args ((@list tptp.sz00 tptp.xb))) % 56.98/57.20 (step-pop @p357 :rule scope :premises (@p257)) % 56.98/57.20 (step @p258 :rule process_scope :premises (@p357) :args (@t199)) % 56.98/57.20 (step @p260 :rule eq_resolve :premises (@p258 @p255)) % 56.98/57.20 (step @p261 :rule implies_elim :premises (@p260)) % 56.98/57.20 (step @p262 :rule chain_m_resolution :premises (@p261 @p248) :args (@t185 @t200 (@list @t196))) % 56.98/57.20 (step @p263 :rule bool-double-not-elim :args (@t184)) % 56.98/57.20 (step @p264 :rule refl :args (@t201)) % 56.98/57.20 (step @p265 :rule nary_cong :premises (@p264 @p216 @p263) :args ((or @t201 @t182 (not @t185)))) % 56.98/57.20 (step @p266 :rule cnf_equiv_pos2 :args (@t186)) % 56.98/57.20 (step @p267 :rule eq_resolve :premises (@p266 @p265)) % 56.98/57.20 (step @p268 :rule reordering :premises (@p267) :args ((or @t182 @t184 @t201))) % 56.98/57.20 (step @p269 :rule chain_m_resolution :premises (@p268 @p262 @p226) :args (@t182 @t202 (@list @t184 @t186))) % 56.98/57.20 (step @p270 :rule eq-symm :args (tptp.xa tptp.sz00)) % 56.98/57.20 (step @p271 :rule refl :args (@t204)) % 56.98/57.20 (step @p272 :rule nary_cong :premises (@p271 @p270) :args (@t205)) % 56.98/57.20 (step @p273 :rule refl :args (@t95)) % 56.98/57.20 (step @p274 :rule cong :premises (@p273 @p272) :args ((=> @t95 @t205))) % 56.98/57.20 (assume-push @p358 @t95) % 56.98/57.20 (step @p276 :rule instantiate :premises (@p58) :args (@t171)) % 56.98/57.20 (step-pop @p359 :rule scope :premises (@p276)) % 56.98/57.20 (step @p277 :rule process_scope :premises (@p359) :args (@t205)) % 56.98/57.20 (step @p279 :rule eq_resolve :premises (@p277 @p274)) % 56.98/57.20 (step @p280 :rule implies_elim :premises (@p279)) % 56.98/57.20 (step @p281 :rule chain_m_resolution :premises (@p280 @p58) :args (@t207 @t142 (@list @t95))) % 56.98/57.20 (step @p282 :rule eq-symm :args (tptp.xa @t37)) % 56.98/57.20 (step @p283 :rule cong :premises (@p282) :args (@t208)) % 56.98/57.20 (step @p284 :rule nary_cong :premises (@p212 @p211 @p283) :args (@t209)) % 56.98/57.20 (step @p285 :rule cong :premises (@p284) :args (@t210)) % 56.98/57.20 (step @p286 :rule cong :premises (@p285) :args (@t211)) % 56.98/57.20 (step @p287 :rule refl :args (@t203)) % 56.98/57.20 (step @p288 :rule cong :premises (@p287 @p286) :args (@t212)) % 56.98/57.20 (step @p289 :rule cong :premises (@p218 @p288) :args ((=> @t129 @t212))) % 56.98/57.20 (assume-push @p360 @t129) % 56.98/57.20 (step @p291 :rule instantiate :premises (@p208) :args (@t171)) % 56.98/57.20 (step-pop @p361 :rule scope :premises (@p291)) % 56.98/57.20 (step @p292 :rule process_scope :premises (@p361) :args (@t212)) % 56.98/57.20 (step @p294 :rule eq_resolve :premises (@p292 @p289)) % 56.98/57.20 (step @p295 :rule implies_elim :premises (@p294)) % 56.98/57.20 (step @p296 :rule chain_m_resolution :premises (@p295 @p208) :args (@t215 @t142 @t187)) % 56.98/57.20 (step @p297 :rule instantiate :premises (@p236) :args (@t171)) % 56.98/57.20 (step @p298 :rule cnf_or_pos :args (@t219)) % 56.98/57.20 (step @p299 :rule reordering :premises (@p298) :args ((or @t173 @t218 (not @t219)))) % 56.98/57.20 (step @p300 :rule chain_m_resolution :premises (@p299 @p193 @p297) :args (@t218 @t168 (@list @t77 @t219))) % 56.98/57.20 (step @p301 :rule cnf_and_pos :args (@t218 0)) % 56.98/57.20 (step @p302 :rule reordering :premises (@p301) :args ((or @t217 (not @t218)))) % 56.98/57.20 (step @p303 :rule chain_m_resolution :premises (@p302 @p300) :args (@t217 @t142 (@list @t218))) % 56.98/57.20 (step @p304 :rule and_elim :premises (@p43) :args (2)) % 56.98/57.20 (step @p305 :rule and_elim :premises (@p43) :args (1)) % 56.98/57.20 (step @p306 :rule cnf_or_pos :args (@t223)) % 56.98/57.20 (step @p307 :rule reordering :premises (@p306) :args ((or @t222 @t221 @t220 @t224))) % 56.98/57.20 (step @p308 :rule chain_m_resolution :premises (@p307 @p305 @p304 @p303) :args (@t224 @t177 (@list @t88 @t87 @t217))) % 56.98/57.20 (step @p309 :rule eq-symm :args (@t216 tptp.xa)) % 56.98/57.20 (step @p310 :rule cong :premises (@p309) :args (@t225)) % 56.98/57.20 (step @p311 :rule refl :args (@t221)) % 56.98/57.20 (step @p312 :rule refl :args (@t222)) % 56.98/57.20 (step @p313 :rule nary_cong :premises (@p312 @p311 @p310) :args (@t226)) % 56.98/57.20 (step @p314 :rule refl :args (@t213)) % 56.98/57.20 (step @p315 :rule cong :premises (@p314 @p313) :args ((=> @t213 @t226))) % 56.98/57.20 (assume-push @p362 @t213) % 56.98/57.20 (step @p317 :rule instantiate :premises (@p362) :args ((@list tptp.xa tptp.sz00))) % 56.98/57.20 (step-pop @p363 :rule scope :premises (@p317)) % 56.98/57.20 (step @p318 :rule process_scope :premises (@p363) :args (@t226)) % 56.98/57.20 (step @p320 :rule eq_resolve :premises (@p318 @p315)) % 56.98/57.20 (step @p321 :rule implies_elim :premises (@p320)) % 56.98/57.20 (step @p322 :rule chain_m_resolution :premises (@p321 @p308) :args (@t214 @t200 (@list @t223))) % 56.98/57.20 (step @p323 :rule bool-double-not-elim :args (@t213)) % 56.98/57.20 (step @p324 :rule refl :args (@t227)) % 56.98/57.20 (step @p325 :rule nary_cong :premises (@p324 @p287 @p323) :args ((or @t227 @t203 (not @t214)))) % 56.98/57.20 (step @p326 :rule cnf_equiv_pos2 :args (@t215)) % 56.98/57.20 (step @p327 :rule eq_resolve :premises (@p326 @p325)) % 56.98/57.20 (step @p328 :rule reordering :premises (@p327) :args ((or @t203 @t213 @t227))) % 56.98/57.20 (step @p329 :rule chain_m_resolution :premises (@p328 @p322 @p296) :args (@t203 @t202 (@list @t213 @t215))) % 56.98/57.20 (step @p330 :rule cnf_or_pos :args (@t207)) % 56.98/57.20 (step @p331 :rule reordering :premises (@p330) :args ((or @t206 @t204 (not @t207)))) % 56.98/57.20 (step @p332 :rule chain_m_resolution :premises (@p331 @p329 @p281) :args (@t206 @t168 (@list @t203 @t207))) % 56.98/57.20 (step @p333 :rule eq-symm :args (tptp.xb tptp.sz00)) % 56.98/57.20 (step @p334 :rule cong :premises (@p333) :args (@t79)) % 56.98/57.20 (step @p335 :rule cong :premises (@p270) :args (@t81)) % 56.98/57.20 (step @p336 :rule nary_cong :premises (@p335 @p334) :args (@t82)) % 56.98/57.20 (step @p337 :rule eq_resolve :premises (@p40 @p336)) % 56.98/57.20 (step @p338 :rule chain_m_resolution :premises (@p337 @p332) :args ((not @t228) @t142 (@list @t206))) % 56.98/57.20 (step @p339 :rule cnf_or_pos :args (@t230)) % 56.98/57.20 (step @p340 :rule reordering :premises (@p339) :args ((or @t228 @t229 @t231))) % 56.98/57.20 (step @p341 :rule chain_m_resolution :premises (@p340 @p338 @p269) :args (@t231 @t202 (@list @t228 @t182))) % 56.98/57.20 (step @p342 :rule refl :args (@t229)) % 33.96/57.20 (step @p343 :rule nary_cong :premises (@p342 @p333) :args (@t232)) % 33.96/57.20 (step @p344 :rule cong :premises (@p273 @p343) :args ((=> @t95 @t232))) % 33.96/57.20 (assume-push @p364 @t95) % 33.96/57.20 (step @p346 :rule instantiate :premises (@p58) :args (@t164)) % 33.96/57.20 (step-pop @p365 :rule scope :premises (@p346)) % 33.96/57.20 (step @p347 :rule process_scope :premises (@p365) :args (@t232)) % 33.96/57.20 (step @p349 :rule eq_resolve :premises (@p347 @p344)) % 33.96/57.20 (step @p350 :rule implies_elim :premises (@p349)) % 33.96/57.20 (step @p351 false :rule chain_m_resolution :premises (@p350 @p341 @p58) :args (false @t202 (@list @t230 @t95))) % 33.96/57.20 ) % 33.96/57.20 % SZS output end Proof % 33.96/57.20 % cvc5 exiting %------------------------------------------------------------------------------