%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG120+4 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n027.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:45:44 AM UTC 2026 % Result : Theorem 42.42s 42.70s % Output : Proof 33.95s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG120+4 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n027.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 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 14:08:51 EDT 2026 % 0.17/0.35 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 42.42/42.70 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 42.42/42.70 --- Run --no-e-matching --full-saturate-quant at 6... % 42.42/42.70 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 42.42/42.70 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 42.42/42.70 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 42.42/42.70 % SZS status Theorem % 42.42/42.70 % SZS output start Proof % 42.42/42.70 ( % 42.42/42.70 (declare-sort $$unsorted 0) % 42.42/42.70 (declare-const tptp.xu $$unsorted) % 42.42/42.70 (declare-const tptp.xr $$unsorted) % 42.42/42.70 (declare-const tptp.xI $$unsorted) % 42.42/42.70 (declare-const tptp.xc $$unsorted) % 42.42/42.70 (declare-const tptp.xa $$unsorted) % 42.42/42.70 (declare-const tptp.slsdtgt0 (-> $$unsorted $$unsorted)) % 42.42/42.70 (declare-const tptp.aDivisorOf0 (-> $$unsorted $$unsorted Bool)) % 42.42/42.70 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 42.42/42.70 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 42.42/42.70 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 42.42/42.70 (declare-const tptp.sz00 $$unsorted) % 42.42/42.70 (declare-const tptp.xq $$unsorted) % 42.42/42.70 (declare-const tptp.sz10 $$unsorted) % 42.42/42.70 (declare-const tptp.aGcdOfAnd0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 42.42/42.70 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 42.42/42.70 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 42.42/42.70 (declare-const tptp.sdtasasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 42.42/42.70 (declare-const tptp.aIdeal0 (-> $$unsorted Bool)) % 42.42/42.70 (declare-const tptp.misRelativelyPrime0 (-> $$unsorted $$unsorted Bool)) % 42.42/42.70 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 42.42/42.70 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 42.42/42.70 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 42.42/42.70 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 42.42/42.70 (declare-const tptp.sdteqdtlpzmzozddtrp0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 42.42/42.70 (declare-const tptp.xb $$unsorted) % 42.42/42.70 (declare-const tptp.sdtpldt1 (-> $$unsorted $$unsorted $$unsorted)) % 42.42/42.70 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 42.42/42.70 (define @t1 () (@var "W0" $$unsorted)) % 42.42/42.70 (define @t2 () (tptp.aElement0 @t1)) % 42.42/42.70 (define @t3 () (@list @t1)) % 42.42/42.70 (define @t4 () (tptp.aElement0 tptp.sz10)) % 42.42/42.70 (define @t5 () (tptp.smndt0 @t1)) % 42.42/42.70 (define @t6 () (tptp.aElement0 @t5)) % 42.42/42.70 (define @t7 () (forall @t3 (=> @t2 @t6))) % 42.42/42.70 (define @t8 () (@var "W1" $$unsorted)) % 42.42/42.70 (define @t9 () (tptp.sdtpldt0 @t1 @t8)) % 42.42/42.70 (define @t10 () (tptp.aElement0 @t8)) % 42.42/42.70 (define @t11 () (and @t2 @t10)) % 42.42/42.70 (define @t12 () (@list @t1 @t8)) % 42.42/42.70 (define @t13 () (tptp.sdtasdt0 @t1 @t8)) % 42.42/42.70 (define @t14 () (tptp.aElement0 @t13)) % 42.42/42.70 (define @t15 () (forall @t12 (=> @t11 @t14))) % 42.42/42.70 (define @t16 () (@var "W2" $$unsorted)) % 42.42/42.70 (define @t17 () (tptp.sdtpldt0 @t8 @t16)) % 42.42/42.70 (define @t18 () (tptp.aElement0 @t16)) % 42.42/42.70 (define @t19 () (and @t2 @t10 @t18)) % 42.42/42.70 (define @t20 () (@list @t1 @t8 @t16)) % 42.42/42.70 (define @t21 () (tptp.sdtasdt0 @t8 @t1)) % 42.42/42.70 (define @t22 () (tptp.sdtasdt0 @t1 @t16)) % 42.42/42.70 (define @t23 () (tptp.smndt0 tptp.sz10)) % 42.42/42.70 (define @t24 () (= @t5 (tptp.sdtasdt0 @t1 @t23))) % 42.42/42.70 (define @t25 () (tptp.sdtasdt0 @t23 @t1)) % 42.42/42.70 (define @t26 () (and (= @t25 @t5) @t24)) % 42.42/42.70 (define @t27 () (=> @t2 @t26)) % 42.42/42.70 (define @t28 () (forall @t3 @t27)) % 42.42/42.70 (define @t29 () (= @t8 tptp.sz00)) % 42.42/42.70 (define @t30 () (= @t1 tptp.sz00)) % 42.42/42.70 (define @t31 () (tptp.aSet0 @t1)) % 42.42/42.70 (define @t32 () (tptp.aElementOf0 @t8 @t1)) % 42.42/42.70 (define @t33 () (@list @t8)) % 42.42/42.70 (define @t34 () (forall @t33 (=> @t32 @t10))) % 42.42/42.70 (define @t35 () (=> @t31 @t34)) % 42.42/42.70 (define @t36 () (forall @t3 @t35)) % 42.42/42.70 (define @t37 () (tptp.aElementOf0 @t16 @t1)) % 42.42/42.70 (define @t38 () (tptp.aElementOf0 @t16 @t8)) % 42.42/42.70 (define @t39 () (@list @t16)) % 42.42/42.70 (define @t40 () (tptp.aSet0 @t8)) % 42.42/42.70 (define @t41 () (and @t31 @t40)) % 42.42/42.70 (define @t42 () (@var "W3" $$unsorted)) % 42.42/42.70 (define @t43 () (@var "W5" $$unsorted)) % 42.42/42.70 (define @t44 () (@var "W4" $$unsorted)) % 42.42/42.70 (define @t45 () (tptp.aElementOf0 @t42 @t16)) % 42.42/42.70 (define @t46 () (@list @t42)) % 42.42/42.70 (define @t47 () (tptp.aSet0 @t16)) % 42.42/42.70 (define @t48 () (tptp.sdtpldt1 @t1 @t8)) % 42.42/42.70 (define @t49 () (tptp.sdtasasdt0 @t1 @t8)) % 42.42/42.70 (define @t50 () (tptp.sdtasdt0 @t16 @t8)) % 42.42/42.70 (define @t51 () (tptp.aIdeal0 @t1)) % 42.42/42.70 (define @t52 () (and @t51 (tptp.aIdeal0 @t8))) % 42.42/42.70 (define @t53 () (tptp.aElement0 @t42)) % 42.42/42.70 (define @t54 () (@list @t16 @t42)) % 42.42/42.70 (define @t55 () (tptp.aNaturalNumber0 @t1)) % 42.42/42.70 (define @t56 () (tptp.sbrdtbr0 @t1)) % 42.42/42.70 (define @t57 () (not @t30)) % 42.42/42.70 (define @t58 () (tptp.slsdtgt0 @t1)) % 42.42/42.70 (define @t59 () (tptp.sdtasdt0 tptp.xc @t1)) % 42.42/42.70 (define @t60 () (tptp.aElement0 tptp.xc)) % 42.42/42.70 (define @t61 () (tptp.slsdtgt0 tptp.xb)) % 42.42/42.70 (define @t62 () (tptp.slsdtgt0 tptp.xa)) % 42.42/42.70 (define @t63 () (tptp.sdtpldt1 @t62 @t61)) % 42.42/42.70 (define @t64 () (tptp.aElementOf0 @t8 @t62)) % 42.42/42.70 (define @t65 () (exists (@list @t8 @t16) (and @t64 (tptp.aElementOf0 @t16 @t61) (= @t17 @t1)))) % 42.42/42.70 (define @t66 () (tptp.aElementOf0 @t1 tptp.xI)) % 42.42/42.70 (define @t67 () (tptp.sdtasdt0 tptp.xb @t8)) % 42.42/42.70 (define @t68 () (tptp.aElementOf0 @t1 @t62)) % 42.42/42.70 (define @t69 () (tptp.aElementOf0 @t21 tptp.xI)) % 42.42/42.70 (define @t70 () (forall @t33 (=> @t10 @t69))) % 42.42/42.70 (define @t71 () (tptp.aElementOf0 @t9 tptp.xI)) % 42.42/42.70 (define @t72 () (tptp.aElementOf0 @t8 tptp.xI)) % 42.42/42.70 (define @t73 () (forall @t33 (=> @t72 @t71))) % 42.42/42.70 (define @t74 () (and @t73 @t70)) % 42.42/42.70 (define @t75 () (=> @t66 @t74)) % 42.42/42.70 (define @t76 () (forall @t3 @t75)) % 42.42/42.70 (define @t77 () (tptp.aSet0 tptp.xI)) % 42.42/42.70 (define @t78 () (tptp.sdtasdt0 tptp.xb @t1)) % 42.42/42.70 (define @t79 () (tptp.sdtasdt0 tptp.xa @t1)) % 42.42/42.70 (define @t80 () (tptp.aElementOf0 @t8 @t61)) % 42.42/42.70 (define @t81 () (tptp.sbrdtbr0 tptp.xu)) % 42.42/42.70 (define @t82 () (tptp.aElementOf0 tptp.xu tptp.xI)) % 42.42/42.70 (define @t83 () (tptp.doDivides0 tptp.xu tptp.xb)) % 42.42/42.70 (define @t84 () (tptp.sdtasdt0 tptp.xu @t1)) % 42.42/42.70 (define @t85 () (exists @t3 (and @t2 (= @t84 tptp.xb)))) % 42.42/42.70 (define @t86 () (tptp.doDivides0 tptp.xu tptp.xa)) % 42.42/42.70 (define @t87 () (exists @t3 (and @t2 (= @t84 tptp.xa)))) % 42.42/42.70 (define @t88 () (= tptp.xr tptp.sz00)) % 42.42/42.70 (define @t89 () (tptp.sdtasdt0 tptp.xq tptp.xu)) % 42.42/42.70 (define @t90 () (tptp.sdtpldt0 @t89 tptp.xr)) % 42.42/42.70 (define @t91 () (tptp.aElement0 tptp.xq)) % 42.42/42.70 (define @t92 () (tptp.smndt0 @t89)) % 42.42/42.70 (define @t93 () (tptp.aElementOf0 @t92 tptp.xI)) % 42.42/42.70 (define @t94 () (= @t9 @t92)) % 42.42/42.70 (define @t95 () (and @t68 @t80 @t94)) % 42.42/42.70 (define @t96 () (exists @t12 @t95)) % 42.42/42.70 (define @t97 () (or @t96 @t93)) % 42.42/42.70 (define @t98 () (not @t97)) % 42.42/42.70 (define @t99 () (@var "BOUND_VARIABLE_8451" $$unsorted)) % 42.42/42.70 (define @t100 () (tptp.sdtasdt0 @t99 @t1)) % 42.42/42.70 (define @t101 () (tptp.aElementOf0 @t100 tptp.xI)) % 42.42/42.70 (define @t102 () (not (tptp.aElement0 @t99))) % 42.42/42.70 (define @t103 () (or @t102 @t101)) % 42.42/42.70 (define @t104 () (@var "BOUND_VARIABLE_8444" $$unsorted)) % 42.42/42.70 (define @t105 () (tptp.sdtpldt0 @t1 @t104)) % 42.42/42.70 (define @t106 () (tptp.aElementOf0 @t105 tptp.xI)) % 42.42/42.70 (define @t107 () (tptp.aElementOf0 @t104 tptp.xI)) % 42.42/42.70 (define @t108 () (not @t107)) % 42.42/42.70 (define @t109 () (or @t108 @t106)) % 42.42/42.70 (define @t110 () (and @t109 @t103)) % 42.42/42.70 (define @t111 () (not @t66)) % 42.42/42.70 (define @t112 () (or @t111 @t110)) % 42.42/42.70 (define @t113 () (forall (@list @t1 @t104 @t99) @t112)) % 42.42/42.70 (define @t114 () (@list @t104 @t99)) % 42.42/42.70 (define @t115 () (forall @t114 @t112)) % 42.42/42.70 (define @t116 () (forall (@list @t99) @t103)) % 42.42/42.70 (define @t117 () (@list @t8)) % 42.42/42.70 (define @t118 () (forall @t114 @t103)) % 42.42/42.70 (define @t119 () (forall (@list @t104) @t109)) % 42.42/42.70 (define @t120 () (forall @t114 @t109)) % 42.42/42.70 (define @t121 () (and @t120 @t118)) % 42.42/42.70 (define @t122 () (forall @t114 @t110)) % 42.42/42.70 (define @t123 () (or @t111 @t122)) % 42.42/42.70 (define @t124 () (not @t10)) % 42.42/42.70 (define @t125 () (and (forall @t33 (or (not @t72) @t71)) (forall @t33 (or @t124 @t69)))) % 42.42/42.70 (define @t126 () (tptp.sdtasdt0 tptp.sz10 @t23)) % 42.42/42.70 (define @t127 () (tptp.sdtpldt1 @t62 (tptp.slsdtgt0 @t90))) % 42.42/42.70 (define @t128 () (tptp.aElementOf0 @t89 @t127)) % 42.42/42.70 (define @t129 () (not @t91)) % 42.42/42.70 (define @t130 () (or @t129 @t128)) % 42.42/42.70 (define @t131 () (not (tptp.aElementOf0 tptp.sz00 @t127))) % 42.42/42.70 (define @t132 () (and (or @t131 (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xu tptp.sz00) @t127)) @t130)) % 42.42/42.70 (define @t133 () (tptp.aElementOf0 tptp.xu @t127)) % 42.42/42.70 (define @t134 () (not @t133)) % 42.42/42.70 (define @t135 () (or @t134 @t132)) % 42.42/42.70 (define @t136 () (@list false false)) % 42.42/42.70 (define @t137 () (@list false)) % 42.42/42.70 (define @t138 () (tptp.aElementOf0 (tptp.sdtasdt0 @t126 @t89) @t127)) % 42.42/42.70 (define @t139 () (tptp.aElement0 @t126)) % 42.42/42.70 (define @t140 () (not @t139)) % 42.42/42.70 (define @t141 () (or @t140 @t138)) % 42.42/42.70 (define @t142 () (and (or @t131 (tptp.aElementOf0 (tptp.sdtpldt0 @t89 tptp.sz00) @t127)) @t141)) % 42.42/42.70 (define @t143 () (not @t128)) % 42.42/42.70 (define @t144 () (or @t143 @t142)) % 42.42/42.70 (define @t145 () (not @t2)) % 42.42/42.70 (define @t146 () (@list tptp.sz10)) % 42.42/42.70 (define @t147 () (tptp.aElement0 @t23)) % 42.42/42.70 (define @t148 () (not @t4)) % 42.42/42.70 (define @t149 () (or @t148 @t147)) % 42.42/42.70 (define @t150 () (not @t147)) % 42.42/42.70 (define @t151 () (or @t148 @t150 @t139)) % 42.42/42.70 (define @t152 () (@list false false false)) % 42.42/42.70 (define @t153 () (and (= @t5 @t25) @t24)) % 42.42/42.70 (define @t154 () (= @t23 @t126)) % 42.42/42.70 (define @t155 () (and (= @t23 (tptp.sdtasdt0 @t23 tptp.sz10)) @t154)) % 42.42/42.70 (define @t156 () (or @t148 @t155)) % 42.42/42.70 (define @t157 () (tptp.sdtasdt0 @t23 @t89)) % 42.42/42.70 (define @t158 () (@var "BOUND_VARIABLE_8000" $$unsorted)) % 42.42/42.70 (define @t159 () (tptp.aElement0 @t158)) % 42.42/42.70 (define @t160 () (not (tptp.aElementOf0 @t158 @t1))) % 42.42/42.70 (define @t161 () (not @t31)) % 42.42/42.70 (define @t162 () (or @t160 @t159)) % 42.42/42.70 (define @t163 () (or @t161 @t162)) % 42.42/42.70 (define @t164 () (forall (@list @t1 @t158) @t163)) % 42.42/42.70 (define @t165 () (@list @t158)) % 42.42/42.70 (define @t166 () (forall @t165 @t163)) % 42.42/42.70 (define @t167 () (forall @t165 @t162)) % 42.42/42.70 (define @t168 () (or @t161 @t167)) % 42.42/42.70 (define @t169 () (forall @t33 (or (not @t32) @t10))) % 42.42/42.70 (define @t170 () (tptp.aElement0 tptp.xu)) % 42.42/42.70 (define @t171 () (tptp.aSet0 @t127)) % 42.42/42.70 (define @t172 () (not @t171)) % 42.42/42.70 (define @t173 () (or @t172 @t134 @t170)) % 42.42/42.70 (define @t174 () (tptp.aElement0 @t89)) % 42.42/42.70 (define @t175 () (not @t170)) % 42.42/42.70 (define @t176 () (or @t129 @t175 @t174)) % 42.42/42.70 (define @t177 () (= @t92 @t157)) % 42.42/42.70 (define @t178 () (and @t177 (= @t92 (tptp.sdtasdt0 @t89 @t23)))) % 42.42/42.70 (define @t179 () (not @t174)) % 42.42/42.70 (define @t180 () (or @t179 @t178)) % 42.42/42.70 (define @t181 () (not @t94)) % 42.42/42.70 (define @t182 () (not @t80)) % 42.42/42.70 (define @t183 () (not @t68)) % 42.42/42.70 (define @t184 () (or @t183 @t182 @t181)) % 42.42/42.70 (define @t185 () (forall @t12 @t184)) % 42.42/42.70 (define @t186 () (not @t185)) % 42.42/42.70 (define @t187 () (or @t186 @t93)) % 42.42/42.70 (define @t188 () (forall @t12 (not @t95))) % 42.42/42.70 (define @t189 () (not @t188)) % 42.42/42.70 (assume @p1 (forall @t3 (=> @t2 true))) % 42.42/42.70 (assume @p2 (tptp.aElement0 tptp.sz00)) % 42.42/42.70 (assume @p3 @t4) % 42.42/42.70 (assume @p4 @t7) % 42.42/42.70 (assume @p5 (forall @t12 (=> @t11 (tptp.aElement0 @t9)))) % 42.42/42.70 (assume @p6 @t15) % 42.42/42.70 (assume @p7 (forall @t12 (=> @t11 (= @t9 (tptp.sdtpldt0 @t8 @t1))))) % 42.42/42.70 (assume @p8 (forall @t20 (=> @t19 (= (tptp.sdtpldt0 @t9 @t16) (tptp.sdtpldt0 @t1 @t17))))) % 42.42/42.70 (assume @p9 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 42.42/42.70 (assume @p10 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 @t5) tptp.sz00) (= tptp.sz00 (tptp.sdtpldt0 @t5 @t1)))))) % 42.42/42.70 (assume @p11 (forall @t12 (=> @t11 (= @t13 @t21)))) % 42.42/42.70 (assume @p12 (forall @t20 (=> @t19 (= (tptp.sdtasdt0 @t13 @t16) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t8 @t16)))))) % 42.42/42.70 (assume @p13 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 42.42/42.70 (assume @p14 (forall @t20 (=> @t19 (and (= (tptp.sdtasdt0 @t1 @t17) (tptp.sdtpldt0 @t13 @t22)) (= (tptp.sdtasdt0 @t17 @t1) (tptp.sdtpldt0 @t21 (tptp.sdtasdt0 @t16 @t1))))))) % 42.42/42.70 (assume @p15 @t28) % 42.42/42.70 (assume @p16 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 42.42/42.70 (assume @p17 (forall @t12 (=> @t11 (=> (= @t13 tptp.sz00) (or @t30 @t29))))) % 42.42/42.70 (assume @p18 (not (= tptp.sz10 tptp.sz00))) % 42.42/42.70 (assume @p19 (forall @t3 (=> @t31 true))) % 42.42/42.70 (assume @p20 @t36) % 42.42/42.70 (assume @p21 (forall @t12 (=> @t41 (=> (and (forall @t39 (=> @t37 @t38)) (forall @t39 (=> @t38 @t37))) (= @t1 @t8))))) % 42.42/42.70 (assume @p22 (forall @t12 (=> @t41 (forall @t39 (= (= @t16 @t48) (and @t47 (forall @t46 (= @t45 (exists (@list @t44 @t43) (and (tptp.aElementOf0 @t44 @t1) (tptp.aElementOf0 @t43 @t8) (= (tptp.sdtpldt0 @t44 @t43) @t42))))))))))) % 42.42/42.70 (assume @p23 (forall @t12 (=> @t41 (forall @t39 (= (= @t16 @t49) (and @t47 (forall @t46 (= @t45 (and (tptp.aElementOf0 @t42 @t1) (tptp.aElementOf0 @t42 @t8)))))))))) % 42.42/42.70 (assume @p24 (forall @t3 (= @t51 (and @t31 (forall @t33 (=> @t32 (and (forall @t39 (=> @t37 (tptp.aElementOf0 @t17 @t1))) (forall @t39 (=> @t18 (tptp.aElementOf0 @t50 @t1)))))))))) % 42.42/42.70 (assume @p25 (forall @t12 (=> @t52 (tptp.aIdeal0 @t48)))) % 42.42/42.70 (assume @p26 (forall @t12 (=> @t52 (tptp.aIdeal0 @t49)))) % 42.42/42.70 (assume @p27 (forall @t20 (=> (and @t2 @t10 (tptp.aIdeal0 @t16)) (= (tptp.sdteqdtlpzmzozddtrp0 @t1 @t8 @t16) (tptp.aElementOf0 (tptp.sdtpldt0 @t1 (tptp.smndt0 @t8)) @t16))))) % 42.42/42.70 (assume @p28 (forall @t12 (=> @t52 (=> (forall @t39 (=> @t18 (tptp.aElementOf0 @t16 @t48))) (forall @t54 (=> (and @t18 @t53) (exists (@list @t44) (and (tptp.aElement0 @t44) (tptp.sdteqdtlpzmzozddtrp0 @t44 @t16 @t1) (tptp.sdteqdtlpzmzozddtrp0 @t44 @t42 @t8))))))))) % 42.42/42.70 (assume @p29 (forall @t3 (=> @t55 true))) % 42.42/42.70 (assume @p30 (forall @t3 (=> (and @t2 @t57) (tptp.aNaturalNumber0 @t56)))) % 42.42/42.70 (assume @p31 (forall @t12 (=> (and @t55 (tptp.aNaturalNumber0 @t8)) (=> (tptp.iLess0 @t1 @t8) true)))) % 42.42/42.70 (assume @p32 (forall @t12 (=> (and @t2 @t10 (not @t29)) (exists @t54 (and @t18 @t53 (= @t1 (tptp.sdtpldt0 @t50 @t42)) (=> (not (= @t42 tptp.sz00)) (tptp.iLess0 (tptp.sbrdtbr0 @t42) (tptp.sbrdtbr0 @t8)))))))) % 42.42/42.70 (assume @p33 (forall @t12 (=> @t11 (= (tptp.doDivides0 @t1 @t8) (exists @t39 (and @t18 (= @t22 @t8))))))) % 42.42/42.70 (assume @p34 (forall @t3 (=> @t2 (forall @t33 (= (tptp.aDivisorOf0 @t8 @t1) (and @t10 (tptp.doDivides0 @t8 @t1))))))) % 42.42/42.70 (assume @p35 (forall @t12 (=> @t11 (forall @t39 (= (tptp.aGcdOfAnd0 @t16 @t1 @t8) (and (tptp.aDivisorOf0 @t16 @t1) (tptp.aDivisorOf0 @t16 @t8) (forall @t46 (=> (and (tptp.aDivisorOf0 @t42 @t1) (tptp.aDivisorOf0 @t42 @t8)) (tptp.doDivides0 @t42 @t16))))))))) % 42.42/42.70 (assume @p36 (forall @t12 (=> @t11 (= (tptp.misRelativelyPrime0 @t1 @t8) (tptp.aGcdOfAnd0 tptp.sz10 @t1 @t8))))) % 42.42/42.70 (assume @p37 (forall @t3 (=> @t2 (forall @t33 (= (= @t8 @t58) (and @t40 (forall @t39 (= @t38 (exists @t46 (and @t53 (= (tptp.sdtasdt0 @t1 @t42) @t16))))))))))) % 42.42/42.70 (assume @p38 (forall @t3 (=> @t2 (tptp.aIdeal0 @t58)))) % 42.42/42.70 (assume @p39 (and (tptp.aElement0 tptp.xa) (tptp.aElement0 tptp.xb))) % 42.42/42.70 (assume @p40 (or (not (= tptp.xa tptp.sz00)) (not (= tptp.xb tptp.sz00)))) % 42.42/42.70 (assume @p41 (and @t60 (exists @t3 (and @t2 (= @t59 tptp.xa))) (tptp.doDivides0 tptp.xc tptp.xa) (tptp.aDivisorOf0 tptp.xc tptp.xa) @t60 (exists @t3 (and @t2 (= @t59 tptp.xb))) (tptp.doDivides0 tptp.xc tptp.xb) (tptp.aDivisorOf0 tptp.xc tptp.xb) (forall @t3 (=> (and (or (and @t2 (or (exists @t33 (and @t10 (= @t13 tptp.xa))) (tptp.doDivides0 @t1 tptp.xa))) (tptp.aDivisorOf0 @t1 tptp.xa)) (or (exists @t33 (and @t10 (= @t13 tptp.xb))) (tptp.doDivides0 @t1 tptp.xb) (tptp.aDivisorOf0 @t1 tptp.xb))) (and (exists @t33 (and @t10 (= @t13 tptp.xc))) (tptp.doDivides0 @t1 tptp.xc)))) (tptp.aGcdOfAnd0 tptp.xc tptp.xa tptp.xb))) % 42.42/42.70 (assume @p42 (and @t77 @t76 (tptp.aIdeal0 tptp.xI) (forall @t3 (= @t68 (exists @t33 (and @t10 (= (tptp.sdtasdt0 tptp.xa @t8) @t1))))) (forall @t3 (= (tptp.aElementOf0 @t1 @t61) (exists @t33 (and @t10 (= @t67 @t1))))) (forall @t3 (= @t66 @t65)) (= tptp.xI @t63))) % 42.42/42.70 (assume @p43 (and (exists @t3 (and @t2 (= @t79 tptp.sz00))) (tptp.aElementOf0 tptp.sz00 @t62) (exists @t3 (and @t2 (= @t79 tptp.xa))) (tptp.aElementOf0 tptp.xa @t62) (exists @t3 (and @t2 (= @t78 tptp.sz00))) (tptp.aElementOf0 tptp.sz00 @t61) (exists @t3 (and @t2 (= @t78 tptp.xb))) (tptp.aElementOf0 tptp.xb @t61))) % 42.42/42.70 (assume @p44 (exists @t3 (and (forall @t33 (= @t64 (exists @t39 (and @t18 (= (tptp.sdtasdt0 tptp.xa @t16) @t8))))) (forall @t33 (= @t80 (exists @t39 (and @t18 (= (tptp.sdtasdt0 tptp.xb @t16) @t8))))) @t65 (tptp.aElementOf0 @t1 @t63) @t57))) % 42.42/42.70 (assume @p45 (and (exists @t12 (and @t68 @t80 (= @t9 tptp.xu))) @t82 (not (= tptp.xu tptp.sz00)) (forall @t3 (=> (and (or @t65 @t66) @t57) (not (tptp.iLess0 @t56 @t81)))))) % 42.42/42.70 (assume @p46 (not (and (or @t87 @t86 (tptp.aDivisorOf0 tptp.xu tptp.xa)) (or @t85 @t83 (tptp.aDivisorOf0 tptp.xu tptp.xb))))) % 42.42/42.70 (assume @p47 (exists @t12 (and @t2 @t10 (= tptp.xu (tptp.sdtpldt0 @t79 @t67))))) % 42.42/42.70 (assume @p48 (not (not (and @t87 @t86)))) % 42.42/42.70 (assume @p49 (not (or @t85 @t83))) % 42.42/42.70 (assume @p50 (and @t91 (tptp.aElement0 tptp.xr) (= tptp.xb @t90) (or @t88 (tptp.iLess0 (tptp.sbrdtbr0 tptp.xr) @t81)))) % 42.42/42.70 (assume @p51 (not @t88)) % 42.42/42.70 (assume @p52 @t98) % 42.42/42.70 (assume @p53 true) % 42.42/42.70 (step @p54 :rule evaluate :args ((= false true))) % 42.42/42.70 (step @p55 :rule and_elim :premises (@p50) :args (2)) % 42.42/42.70 (step @p56 :rule cong :premises (@p55) :args (@t61)) % 42.42/42.70 (step @p57 :rule refl :args (@t62)) % 42.42/42.70 (step @p58 :rule cong :premises (@p57 @p56) :args (@t63)) % 42.42/42.70 (step @p59 :rule and_elim :premises (@p42) :args (6)) % 42.42/42.70 (step @p60 :rule trans :premises (@p59 @p58)) % 42.42/42.70 (step @p61 :rule refl :args (@t100)) % 42.42/42.70 (step @p62 :rule cong :premises (@p61 @p60) :args (@t101)) % 42.42/42.70 (step @p63 :rule refl :args (@t102)) % 42.42/42.70 (step @p64 :rule nary_cong :premises (@p63 @p62) :args (@t103)) % 42.42/42.70 (step @p65 :rule refl :args (@t105)) % 42.42/42.70 (step @p66 :rule cong :premises (@p65 @p60) :args (@t106)) % 42.42/42.70 (step @p67 :rule refl :args (@t104)) % 42.42/42.70 (step @p68 :rule cong :premises (@p67 @p60) :args (@t107)) % 42.42/42.70 (step @p69 :rule cong :premises (@p68) :args (@t108)) % 42.42/42.70 (step @p70 :rule nary_cong :premises (@p69 @p66) :args (@t109)) % 42.42/42.70 (step @p71 :rule nary_cong :premises (@p70 @p64) :args (@t110)) % 42.42/42.70 (step @p72 :rule refl :args (@t1)) % 42.42/42.70 (step @p73 :rule cong :premises (@p72 @p60) :args (@t66)) % 42.42/42.70 (step @p74 :rule cong :premises (@p73) :args (@t111)) % 42.42/42.70 (step @p75 :rule nary_cong :premises (@p74 @p71) :args (@t112)) % 42.42/42.70 (step @p76 :rule cong :premises (@p75) :args (@t113)) % 42.42/42.70 (step @p77 :rule quant-merge-prenex :args ((= (forall @t3 @t115) @t113))) % 42.42/42.70 (step @p78 :rule alpha_equiv :args (@t116 (@list @t99) @t117)) % 42.42/42.70 (step @p79 :rule quant-unused-vars :args ((= @t118 @t116))) % 42.42/42.70 (step @p80 :rule trans :premises (@p79 @p78)) % 42.42/42.70 (step @p81 :rule alpha_equiv :args (@t119 (@list @t104) @t117)) % 42.42/42.70 (step @p82 :rule quant-unused-vars :args ((= @t120 @t119))) % 42.42/42.70 (step @p83 :rule trans :premises (@p82 @p81)) % 42.42/42.70 (step @p84 :rule nary_cong :premises (@p83 @p80) :args (@t121)) % 42.42/42.70 (step @p85 :rule quant-miniscope-and :args ((= @t122 @t121))) % 42.42/42.70 (step @p86 :rule trans :premises (@p85 @p84)) % 42.42/42.70 (step @p87 :rule refl :args (@t111)) % 42.42/42.70 (step @p88 :rule nary_cong :premises (@p87 @p86) :args (@t123)) % 42.42/42.70 (step @p89 :rule quant-miniscope-or :args ((= @t115 @t123))) % 42.42/42.70 (step @p90 :rule trans :premises (@p89 @p88)) % 42.42/42.70 (step @p91 :rule symm :premises (@p90)) % 42.42/42.70 (step @p92 :rule cong :premises (@p91) :args ((forall @t3 (or @t111 @t125)))) % 42.42/42.70 (step @p93 :rule trans :premises (@p92 @p77)) % 42.42/42.70 (step @p94 :rule bool-impl-elim :args (@t66 @t125)) % 42.42/42.70 (step @p95 :rule cong :premises (@p94) :args ((forall @t3 (=> @t66 @t125)))) % 42.42/42.70 (step @p96 :rule trans :premises (@p95 @p93)) % 42.42/42.70 (step @p97 :rule bool-impl-elim :args (@t10 @t69)) % 42.42/42.70 (step @p98 :rule cong :premises (@p97) :args (@t70)) % 42.42/42.70 (step @p99 :rule bool-impl-elim :args (@t72 @t71)) % 42.42/42.70 (step @p100 :rule cong :premises (@p99) :args (@t73)) % 42.42/42.70 (step @p101 :rule nary_cong :premises (@p100 @p98) :args (@t74)) % 42.42/42.70 (step @p102 :rule refl :args (@t66)) % 42.42/42.70 (step @p103 :rule cong :premises (@p102 @p101) :args (@t75)) % 42.42/42.70 (step @p104 :rule cong :premises (@p103) :args (@t76)) % 42.42/42.70 (step @p105 :rule trans :premises (@p104 @p96)) % 42.42/42.70 (step @p106 :rule trans :premises (@p105 @p76)) % 42.42/42.70 (step @p107 :rule and_elim :premises (@p42) :args (1)) % 42.42/42.70 (step @p108 :rule eq_resolve :premises (@p107 @p106)) % 42.42/42.70 (step @p109 :rule instantiate :premises (@p108) :args ((@list @t89 tptp.sz00 @t126))) % 42.42/42.70 (step @p110 :rule instantiate :premises (@p108) :args ((@list tptp.xu tptp.sz00 tptp.xq))) % 42.42/42.70 (step @p111 :rule refl :args (tptp.xu)) % 42.42/42.70 (step @p112 :rule cong :premises (@p111 @p60) :args (@t82)) % 42.42/42.70 (step @p113 :rule and_elim :premises (@p45) :args (1)) % 42.42/42.70 (step @p114 :rule eq_resolve :premises (@p113 @p112)) % 42.42/42.70 (step @p115 :rule cnf_or_pos :args (@t135)) % 42.42/42.70 (step @p116 :rule reordering :premises (@p115) :args ((or @t134 @t132 (not @t135)))) % 42.42/42.70 (step @p117 :rule chain_m_resolution :premises (@p116 @p114 @p110) :args (@t132 @t136 (@list @t133 @t135))) % 42.42/42.70 (step @p118 :rule cnf_and_pos :args (@t132 1)) % 42.42/42.70 (step @p119 :rule reordering :premises (@p118) :args ((or @t130 (not @t132)))) % 42.42/42.70 (step @p120 :rule chain_m_resolution :premises (@p119 @p117) :args (@t130 @t137 (@list @t132))) % 42.42/42.70 (step @p121 :rule and_elim :premises (@p50) :args (0)) % 42.42/42.70 (step @p122 :rule cnf_or_pos :args (@t130)) % 42.42/42.70 (step @p123 :rule reordering :premises (@p122) :args ((or @t129 @t128 (not @t130)))) % 42.42/42.70 (step @p124 :rule chain_m_resolution :premises (@p123 @p121 @p120) :args (@t128 @t136 (@list @t91 @t130))) % 42.42/42.70 (step @p125 :rule cnf_or_pos :args (@t144)) % 42.42/42.70 (step @p126 :rule reordering :premises (@p125) :args ((or @t143 @t142 (not @t144)))) % 42.42/42.70 (step @p127 :rule chain_m_resolution :premises (@p126 @p124 @p109) :args (@t142 @t136 (@list @t128 @t144))) % 42.42/42.70 (step @p128 :rule cnf_and_pos :args (@t142 1)) % 42.42/42.70 (step @p129 :rule reordering :premises (@p128) :args ((or @t141 (not @t142)))) % 42.42/42.70 (step @p130 :rule chain_m_resolution :premises (@p129 @p127) :args (@t141 @t137 (@list @t142))) % 42.42/42.70 (step @p131 :rule aci_norm :args ((= (or (or @t145 @t124) @t14) (or @t145 @t124 @t14)))) % 42.42/42.70 (step @p132 :rule refl :args (@t14)) % 42.42/42.70 (step @p133 :rule bool-and-de-morgan :args (@t2 @t10 true)) % 42.42/42.70 (step @p134 :rule nary_cong :premises (@p133 @p132) :args ((or (not @t11) @t14))) % 42.42/42.70 (step @p135 :rule trans :premises (@p134 @p131)) % 42.42/42.70 (step @p136 :rule bool-impl-elim :args (@t11 @t14)) % 42.42/42.70 (step @p137 :rule trans :premises (@p136 @p135)) % 42.42/42.70 (step @p138 :rule cong :premises (@p137) :args (@t15)) % 42.42/42.70 (step @p139 :rule eq_resolve :premises (@p6 @p138)) % 42.42/42.70 (step @p140 :rule instantiate :premises (@p139) :args ((@list tptp.sz10 @t23))) % 42.42/42.70 (step @p141 :rule bool-impl-elim :args (@t2 @t6)) % 42.42/42.70 (step @p142 :rule cong :premises (@p141) :args (@t7)) % 42.42/42.70 (step @p143 :rule eq_resolve :premises (@p4 @p142)) % 42.42/42.70 (step @p144 :rule instantiate :premises (@p143) :args (@t146)) % 42.42/42.70 (step @p145 :rule cnf_or_pos :args (@t149)) % 42.42/42.70 (step @p146 :rule reordering :premises (@p145) :args ((or @t148 @t147 (not @t149)))) % 42.42/42.70 (step @p147 :rule chain_m_resolution :premises (@p146 @p3 @p144) :args (@t147 @t136 (@list @t4 @t149))) % 42.42/42.70 (step @p148 :rule cnf_or_pos :args (@t151)) % 42.42/42.70 (step @p149 :rule reordering :premises (@p148) :args ((or @t148 @t150 @t139 (not @t151)))) % 42.42/42.70 (step @p150 :rule chain_m_resolution :premises (@p149 @p3 @p147 @p140) :args (@t139 @t152 (@list @t4 @t147 @t151))) % 42.42/42.70 (step @p151 :rule cnf_or_pos :args (@t141)) % 42.42/42.70 (step @p152 :rule reordering :premises (@p151) :args ((or @t140 @t138 (not @t141)))) % 42.42/42.70 (step @p153 :rule chain_m_resolution :premises (@p152 @p150 @p130) :args (@t138 @t136 (@list @t139 @t141))) % 42.42/42.70 (step @p154 :rule true_intro :premises (@p153)) % 42.42/42.70 (step @p155 :rule refl :args (@t127)) % 42.42/42.70 (step @p156 :rule refl :args (@t89)) % 42.42/42.70 (step @p157 :rule bool-impl-elim :args (@t2 @t153)) % 42.42/42.70 (step @p158 :rule cong :premises (@p157) :args ((forall @t3 (=> @t2 @t153)))) % 42.42/42.70 (step @p159 :rule refl :args (@t24)) % 42.42/42.70 (step @p160 :rule eq-symm :args (@t25 @t5)) % 42.42/42.70 (step @p161 :rule nary_cong :premises (@p160 @p159) :args (@t26)) % 42.42/42.70 (step @p162 :rule refl :args (@t2)) % 42.42/42.70 (step @p163 :rule cong :premises (@p162 @p161) :args (@t27)) % 42.42/42.70 (step @p164 :rule cong :premises (@p163) :args (@t28)) % 42.42/42.70 (step @p165 :rule trans :premises (@p164 @p158)) % 42.42/42.70 (step @p166 :rule eq_resolve :premises (@p15 @p165)) % 42.42/42.70 (step @p167 :rule instantiate :premises (@p166) :args (@t146)) % 42.42/42.70 (step @p168 :rule cnf_or_pos :args (@t156)) % 42.42/42.70 (step @p169 :rule reordering :premises (@p168) :args ((or @t148 @t155 (not @t156)))) % 42.42/42.70 (step @p170 :rule chain_m_resolution :premises (@p169 @p3 @p167) :args (@t155 @t136 (@list @t4 @t156))) % 42.42/42.70 (step @p171 :rule cnf_and_pos :args (@t155 1)) % 42.42/42.70 (step @p172 :rule reordering :premises (@p171) :args ((or @t154 (not @t155)))) % 42.42/42.70 (step @p173 :rule chain_m_resolution :premises (@p172 @p170) :args (@t154 @t137 (@list @t155))) % 42.42/42.70 (step @p174 :rule cong :premises (@p173 @p156) :args (@t157)) % 42.42/42.70 (step @p175 :rule instantiate :premises (@p166) :args ((@list @t89))) % 42.42/42.70 (step @p176 :rule instantiate :premises (@p139) :args ((@list tptp.xq tptp.xu))) % 42.42/42.70 (step @p177 :rule aci_norm :args ((= @t163 (or @t161 @t160 @t159)))) % 42.42/42.70 (step @p178 :rule cong :premises (@p177) :args (@t164)) % 42.42/42.70 (step @p179 :rule quant-merge-prenex :args ((= (forall @t3 @t166) @t164))) % 42.42/42.70 (step @p180 :rule alpha_equiv :args (@t167 (@list @t158) @t117)) % 42.42/42.70 (step @p181 :rule refl :args (@t161)) % 42.42/42.70 (step @p182 :rule nary_cong :premises (@p181 @p180) :args (@t168)) % 42.42/42.70 (step @p183 :rule quant-miniscope-or :args ((= @t166 @t168))) % 42.42/42.70 (step @p184 :rule trans :premises (@p183 @p182)) % 42.42/42.70 (step @p185 :rule symm :premises (@p184)) % 42.42/42.70 (step @p186 :rule cong :premises (@p185) :args ((forall @t3 (or @t161 @t169)))) % 42.42/42.70 (step @p187 :rule trans :premises (@p186 @p179)) % 42.42/42.70 (step @p188 :rule trans :premises (@p187 @p178)) % 42.42/42.70 (step @p189 :rule bool-impl-elim :args (@t31 @t169)) % 42.42/42.70 (step @p190 :rule cong :premises (@p189) :args ((forall @t3 (=> @t31 @t169)))) % 42.42/42.70 (step @p191 :rule trans :premises (@p190 @p188)) % 42.42/42.70 (step @p192 :rule bool-impl-elim :args (@t32 @t10)) % 42.42/42.70 (step @p193 :rule cong :premises (@p192) :args (@t34)) % 42.42/42.70 (step @p194 :rule refl :args (@t31)) % 42.42/42.70 (step @p195 :rule cong :premises (@p194 @p193) :args (@t35)) % 42.42/42.70 (step @p196 :rule cong :premises (@p195) :args (@t36)) % 42.42/42.70 (step @p197 :rule trans :premises (@p196 @p191)) % 42.42/42.70 (step @p198 :rule eq_resolve :premises (@p20 @p197)) % 42.42/42.70 (step @p199 :rule instantiate :premises (@p198) :args ((@list @t127 tptp.xu))) % 33.95/42.70 (step @p200 :rule cong :premises (@p60) :args (@t77)) % 33.95/42.70 (step @p201 :rule and_elim :premises (@p42) :args (0)) % 33.95/42.70 (step @p202 :rule eq_resolve :premises (@p201 @p200)) % 33.95/42.70 (step @p203 :rule cnf_or_pos :args (@t173)) % 33.95/42.70 (step @p204 :rule reordering :premises (@p203) :args ((or @t172 @t134 @t170 (not @t173)))) % 33.95/42.70 (step @p205 :rule chain_m_resolution :premises (@p204 @p202 @p114 @p199) :args (@t170 @t152 (@list @t171 @t133 @t173))) % 33.95/42.70 (step @p206 :rule cnf_or_pos :args (@t176)) % 33.95/42.70 (step @p207 :rule reordering :premises (@p206) :args ((or @t129 @t175 @t174 (not @t176)))) % 33.95/42.70 (step @p208 :rule chain_m_resolution :premises (@p207 @p121 @p205 @p176) :args (@t174 @t152 (@list @t91 @t170 @t176))) % 33.95/42.70 (step @p209 :rule cnf_or_pos :args (@t180)) % 33.95/42.70 (step @p210 :rule reordering :premises (@p209) :args ((or @t179 @t178 (not @t180)))) % 33.95/42.70 (step @p211 :rule chain_m_resolution :premises (@p210 @p208 @p175) :args (@t178 @t136 (@list @t174 @t180))) % 33.95/42.70 (step @p212 :rule cnf_and_pos :args (@t178 0)) % 33.95/42.70 (step @p213 :rule reordering :premises (@p212) :args ((or @t177 (not @t178)))) % 33.95/42.70 (step @p214 :rule chain_m_resolution :premises (@p213 @p211) :args (@t177 @t137 (@list @t178))) % 33.95/42.70 (step @p215 :rule trans :premises (@p214 @p174)) % 33.95/42.70 (step @p216 :rule cong :premises (@p215 @p155) :args ((tptp.aElementOf0 @t92 @t127))) % 33.95/42.70 (step @p217 :rule refl :args (@t92)) % 33.95/42.70 (step @p218 :rule cong :premises (@p217 @p60) :args (@t93)) % 33.95/42.70 (step @p219 :rule refl :args (@t181)) % 33.95/42.70 (step @p220 :rule refl :args (@t8)) % 33.95/42.70 (step @p221 :rule cong :premises (@p220 @p56) :args (@t80)) % 33.95/42.70 (step @p222 :rule cong :premises (@p221) :args (@t182)) % 33.95/42.70 (step @p223 :rule refl :args (@t183)) % 33.95/42.70 (step @p224 :rule nary_cong :premises (@p223 @p222 @p219) :args (@t184)) % 33.95/42.70 (step @p225 :rule cong :premises (@p224) :args (@t185)) % 33.95/42.70 (step @p226 :rule cong :premises (@p225) :args (@t186)) % 33.95/42.70 (step @p227 :rule nary_cong :premises (@p226 @p218) :args (@t187)) % 33.95/42.70 (step @p228 :rule cong :premises (@p227) :args ((not @t187))) % 33.95/42.70 (step @p229 :rule refl :args (@t93)) % 33.95/42.70 (step @p230 :rule aci_norm :args ((= (or @t183 (or @t182 @t181)) @t184))) % 33.95/42.70 (step @p231 :rule bool-and-de-morgan :args (@t80 @t94 true)) % 33.95/42.70 (step @p232 :rule refl :args (@t183)) % 33.95/42.70 (step @p233 :rule nary_cong :premises (@p232 @p231) :args ((or @t183 (not (and @t80 @t94))))) % 33.95/42.70 (step @p234 :rule bool-and-de-morgan :args (@t68 @t80 (and @t94))) % 33.95/42.70 (step @p235 :rule trans :premises (@p234 @p233)) % 33.95/42.70 (step @p236 :rule trans :premises (@p235 @p230)) % 33.95/42.70 (step @p237 :rule cong :premises (@p236) :args (@t188)) % 33.95/42.70 (step @p238 :rule cong :premises (@p237) :args (@t189)) % 33.95/42.70 (step @p239 :rule exists-elim :args ((= @t96 @t189))) % 33.95/42.70 (step @p240 :rule trans :premises (@p239 @p238)) % 33.95/42.70 (step @p241 :rule nary_cong :premises (@p240 @p229) :args (@t97)) % 33.95/42.70 (step @p242 :rule cong :premises (@p241) :args (@t98)) % 33.95/42.70 (step @p243 :rule trans :premises (@p242 @p228)) % 33.95/42.70 (step @p244 :rule eq_resolve :premises (@p52 @p243)) % 33.95/42.70 (step @p245 :rule not_or_elim :premises (@p244) :args (1)) % 33.95/42.70 (step @p246 :rule false_intro :premises (@p245)) % 33.95/42.70 (step @p247 :rule symm :premises (@p246)) % 33.95/42.70 (step @p248 :rule trans :premises (@p247 @p216 @p154)) % 33.95/42.70 (step @p249 false :rule eq_resolve :premises (@p248 @p54)) % 33.95/42.70 ) % 33.95/42.70 % SZS output end Proof % 33.95/42.70 % cvc5 exiting %------------------------------------------------------------------------------