%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG114+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 : n025.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 08:45:43 AM UTC 2026 % Result : Theorem 0.64s 0.90s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG114+4 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n025.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 14:08:01 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.64/0.90 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.64/0.90 % SZS status Theorem % 0.64/0.90 % SZS output start Proof % 0.64/0.90 ( % 0.64/0.90 (declare-sort $$unsorted 0) % 0.64/0.90 (declare-const tptp.xu $$unsorted) % 0.64/0.90 (declare-const tptp.xI $$unsorted) % 0.64/0.90 (declare-const tptp.xc $$unsorted) % 0.64/0.90 (declare-const tptp.xa $$unsorted) % 0.64/0.90 (declare-const tptp.slsdtgt0 (-> $$unsorted $$unsorted)) % 0.64/0.90 (declare-const tptp.aDivisorOf0 (-> $$unsorted $$unsorted Bool)) % 0.64/0.90 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.64/0.90 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 0.64/0.90 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 0.64/0.90 (declare-const tptp.sz00 $$unsorted) % 0.64/0.90 (declare-const tptp.sz10 $$unsorted) % 0.64/0.90 (declare-const tptp.aGcdOfAnd0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.64/0.90 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 0.64/0.90 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.64/0.90 (declare-const tptp.sdtasasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.64/0.90 (declare-const tptp.aIdeal0 (-> $$unsorted Bool)) % 0.64/0.90 (declare-const tptp.misRelativelyPrime0 (-> $$unsorted $$unsorted Bool)) % 0.64/0.90 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.64/0.90 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 0.64/0.90 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 0.64/0.90 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 0.64/0.90 (declare-const tptp.sdteqdtlpzmzozddtrp0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.64/0.90 (declare-const tptp.xb $$unsorted) % 0.64/0.90 (declare-const tptp.sdtpldt1 (-> $$unsorted $$unsorted $$unsorted)) % 0.64/0.90 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 0.64/0.90 (define @t1 () (@var "W0" $$unsorted)) % 0.64/0.90 (define @t2 () (tptp.aElement0 @t1)) % 0.64/0.90 (define @t3 () (@list @t1)) % 0.64/0.90 (define @t4 () (tptp.smndt0 @t1)) % 0.64/0.90 (define @t5 () (@var "W1" $$unsorted)) % 0.64/0.90 (define @t6 () (tptp.sdtpldt0 @t1 @t5)) % 0.64/0.90 (define @t7 () (tptp.aElement0 @t5)) % 0.64/0.90 (define @t8 () (and @t2 @t7)) % 0.64/0.90 (define @t9 () (@list @t1 @t5)) % 0.64/0.90 (define @t10 () (tptp.sdtasdt0 @t1 @t5)) % 0.64/0.90 (define @t11 () (@var "W2" $$unsorted)) % 0.64/0.90 (define @t12 () (tptp.sdtpldt0 @t5 @t11)) % 0.64/0.90 (define @t13 () (tptp.aElement0 @t11)) % 0.64/0.90 (define @t14 () (and @t2 @t7 @t13)) % 0.64/0.90 (define @t15 () (@list @t1 @t5 @t11)) % 0.64/0.90 (define @t16 () (tptp.sdtasdt0 @t5 @t1)) % 0.64/0.90 (define @t17 () (tptp.sdtasdt0 @t1 @t11)) % 0.64/0.90 (define @t18 () (tptp.smndt0 tptp.sz10)) % 0.64/0.90 (define @t19 () (= @t5 tptp.sz00)) % 0.64/0.90 (define @t20 () (= @t1 tptp.sz00)) % 0.64/0.90 (define @t21 () (tptp.aSet0 @t1)) % 0.64/0.90 (define @t22 () (tptp.aElementOf0 @t5 @t1)) % 0.64/0.90 (define @t23 () (@list @t5)) % 0.64/0.90 (define @t24 () (tptp.aElementOf0 @t11 @t1)) % 0.64/0.90 (define @t25 () (tptp.aElementOf0 @t11 @t5)) % 0.64/0.90 (define @t26 () (@list @t11)) % 0.64/0.90 (define @t27 () (tptp.aSet0 @t5)) % 0.64/0.90 (define @t28 () (and @t21 @t27)) % 0.64/0.90 (define @t29 () (@var "W3" $$unsorted)) % 0.64/0.90 (define @t30 () (@var "W5" $$unsorted)) % 0.64/0.90 (define @t31 () (@var "W4" $$unsorted)) % 0.64/0.90 (define @t32 () (tptp.aElementOf0 @t29 @t11)) % 0.64/0.90 (define @t33 () (@list @t29)) % 0.64/0.90 (define @t34 () (tptp.aSet0 @t11)) % 0.64/0.90 (define @t35 () (tptp.sdtpldt1 @t1 @t5)) % 0.64/0.90 (define @t36 () (tptp.sdtasasdt0 @t1 @t5)) % 0.64/0.90 (define @t37 () (tptp.sdtasdt0 @t11 @t5)) % 0.64/0.90 (define @t38 () (tptp.aIdeal0 @t1)) % 0.64/0.90 (define @t39 () (and @t38 (tptp.aIdeal0 @t5))) % 0.64/0.90 (define @t40 () (tptp.aElement0 @t29)) % 0.64/0.90 (define @t41 () (@list @t11 @t29)) % 0.64/0.90 (define @t42 () (tptp.aNaturalNumber0 @t1)) % 0.64/0.90 (define @t43 () (tptp.sbrdtbr0 @t1)) % 0.64/0.90 (define @t44 () (not @t20)) % 0.64/0.90 (define @t45 () (tptp.slsdtgt0 @t1)) % 0.64/0.90 (define @t46 () (tptp.sdtasdt0 tptp.xc @t1)) % 0.64/0.90 (define @t47 () (tptp.aElement0 tptp.xc)) % 0.64/0.90 (define @t48 () (tptp.slsdtgt0 tptp.xb)) % 0.64/0.90 (define @t49 () (tptp.slsdtgt0 tptp.xa)) % 0.64/0.90 (define @t50 () (tptp.sdtpldt1 @t49 @t48)) % 0.64/0.90 (define @t51 () (tptp.aElementOf0 @t5 @t49)) % 0.64/0.90 (define @t52 () (exists (@list @t5 @t11) (and @t51 (tptp.aElementOf0 @t11 @t48) (= @t12 @t1)))) % 0.64/0.90 (define @t53 () (tptp.aElementOf0 @t1 tptp.xI)) % 0.64/0.90 (define @t54 () (tptp.sdtasdt0 tptp.xb @t5)) % 0.64/0.90 (define @t55 () (and @t7 (= @t54 @t1))) % 0.64/0.90 (define @t56 () (exists @t23 @t55)) % 0.64/0.90 (define @t57 () (tptp.aElementOf0 @t1 @t48)) % 0.64/0.90 (define @t58 () (= @t57 @t56)) % 0.64/0.90 (define @t59 () (forall @t3 @t58)) % 0.64/0.90 (define @t60 () (tptp.sdtasdt0 tptp.xa @t5)) % 0.64/0.90 (define @t61 () (and @t7 (= @t60 @t1))) % 0.64/0.90 (define @t62 () (exists @t23 @t61)) % 0.64/0.90 (define @t63 () (tptp.aElementOf0 @t1 @t49)) % 0.64/0.90 (define @t64 () (= @t63 @t62)) % 0.64/0.90 (define @t65 () (forall @t3 @t64)) % 0.64/0.90 (define @t66 () (tptp.sdtasdt0 tptp.xb @t1)) % 0.64/0.90 (define @t67 () (tptp.sdtasdt0 tptp.xa @t1)) % 0.64/0.90 (define @t68 () (tptp.aElementOf0 @t5 @t48)) % 0.64/0.90 (define @t69 () (= @t6 tptp.xu)) % 0.64/0.90 (define @t70 () (and @t63 @t68 @t69)) % 0.64/0.90 (define @t71 () (exists @t9 @t70)) % 0.64/0.90 (define @t72 () (tptp.sdtasdt0 tptp.xu @t1)) % 0.64/0.90 (define @t73 () (= tptp.xu (tptp.sdtpldt0 @t67 @t54))) % 0.64/0.90 (define @t74 () (and @t2 @t7 @t73)) % 0.64/0.90 (define @t75 () (exists @t9 @t74)) % 0.64/0.90 (define @t76 () (not @t75)) % 0.64/0.90 (define @t77 () (not @t69)) % 0.64/0.90 (define @t78 () (not @t68)) % 0.64/0.90 (define @t79 () (not @t63)) % 0.64/0.90 (define @t80 () (or @t79 @t78 @t77)) % 0.64/0.90 (define @t81 () (forall @t9 (not @t70))) % 0.64/0.90 (define @t82 () (not @t81)) % 0.64/0.90 (define @t83 () (forall @t9 @t80)) % 0.64/0.90 (define @t84 () (@quantifiers_skolemize @t83 1)) % 0.64/0.90 (define @t85 () (@quantifiers_skolemize @t83 0)) % 0.64/0.90 (define @t86 () (tptp.sdtpldt0 @t85 @t84)) % 0.64/0.90 (define @t87 () (= tptp.xu @t86)) % 0.64/0.90 (define @t88 () (not @t87)) % 0.64/0.90 (define @t89 () (tptp.aElementOf0 @t84 @t48)) % 0.64/0.90 (define @t90 () (not @t89)) % 0.64/0.90 (define @t91 () (tptp.aElementOf0 @t85 @t49)) % 0.64/0.90 (define @t92 () (not @t91)) % 0.64/0.90 (define @t93 () (or @t92 @t90 @t88)) % 0.64/0.90 (define @t94 () (not @t93)) % 0.64/0.90 (define @t95 () (not @t83)) % 0.64/0.90 (define @t96 () (not (= @t86 tptp.xu))) % 0.64/0.90 (define @t97 () (or @t92 @t90 @t96)) % 0.64/0.90 (define @t98 () (not @t97)) % 0.64/0.90 (define @t99 () (@list true)) % 0.64/0.90 (define @t100 () (@list @t93)) % 0.64/0.90 (define @t101 () (= @t1 @t60)) % 0.64/0.90 (define @t102 () (and @t7 @t101)) % 0.64/0.90 (define @t103 () (forall @t23 (not @t102))) % 0.64/0.90 (define @t104 () (not @t103)) % 0.64/0.90 (define @t105 () (not (= @t85 @t60))) % 0.64/0.90 (define @t106 () (not @t7)) % 0.64/0.90 (define @t107 () (or @t106 @t105)) % 0.64/0.90 (define @t108 () (forall @t23 @t107)) % 0.64/0.90 (define @t109 () (not @t108)) % 0.64/0.90 (define @t110 () (= @t91 @t109)) % 0.64/0.90 (define @t111 () (forall @t3 (= @t63 (not (forall @t23 (or @t106 (not @t101))))))) % 0.64/0.90 (define @t112 () (forall @t23 (or @t106 (not (= @t60 @t85))))) % 0.64/0.90 (define @t113 () (not @t112)) % 0.64/0.90 (define @t114 () (= @t91 @t113)) % 0.64/0.90 (define @t115 () (@list false)) % 0.64/0.90 (define @t116 () (@list false false)) % 0.64/0.90 (define @t117 () (@quantifiers_skolemize @t112 0)) % 0.64/0.90 (define @t118 () (tptp.sdtasdt0 tptp.xa @t117)) % 0.64/0.90 (define @t119 () (= @t85 @t118)) % 0.64/0.90 (define @t120 () (not @t119)) % 0.64/0.90 (define @t121 () (tptp.aElement0 @t117)) % 0.64/0.90 (define @t122 () (not @t121)) % 0.64/0.90 (define @t123 () (or @t122 @t120)) % 0.64/0.90 (define @t124 () (not @t123)) % 0.64/0.90 (define @t125 () (not (= @t118 @t85))) % 0.64/0.90 (define @t126 () (or @t122 @t125)) % 0.64/0.90 (define @t127 () (not @t126)) % 0.64/0.90 (define @t128 () (@list @t123)) % 0.64/0.90 (define @t129 () (= @t1 @t54)) % 0.64/0.90 (define @t130 () (and @t7 @t129)) % 0.64/0.90 (define @t131 () (forall @t23 (not @t130))) % 0.64/0.90 (define @t132 () (not @t131)) % 0.64/0.90 (define @t133 () (not (= @t84 @t54))) % 0.64/0.90 (define @t134 () (or @t106 @t133)) % 0.64/0.90 (define @t135 () (forall @t23 @t134)) % 0.64/0.90 (define @t136 () (not @t135)) % 0.64/0.90 (define @t137 () (= @t89 @t136)) % 0.64/0.90 (define @t138 () (forall @t3 (= @t57 (not (forall @t23 (or @t106 (not @t129))))))) % 0.64/0.90 (define @t139 () (forall @t23 (or @t106 (not (= @t54 @t84))))) % 0.64/0.90 (define @t140 () (not @t139)) % 0.64/0.90 (define @t141 () (= @t89 @t140)) % 0.64/0.90 (define @t142 () (@quantifiers_skolemize @t139 0)) % 0.64/0.90 (define @t143 () (tptp.sdtasdt0 tptp.xb @t142)) % 0.64/0.90 (define @t144 () (= @t84 @t143)) % 0.64/0.90 (define @t145 () (not @t144)) % 0.64/0.90 (define @t146 () (tptp.aElement0 @t142)) % 0.64/0.90 (define @t147 () (not @t146)) % 0.64/0.90 (define @t148 () (or @t147 @t145)) % 0.64/0.90 (define @t149 () (not @t148)) % 0.64/0.90 (define @t150 () (not (= @t143 @t84))) % 0.64/0.90 (define @t151 () (or @t147 @t150)) % 0.64/0.90 (define @t152 () (not @t151)) % 0.64/0.90 (define @t153 () (@list @t148)) % 0.64/0.90 (define @t154 () (not @t73)) % 0.64/0.90 (define @t155 () (not @t2)) % 0.64/0.90 (define @t156 () (or @t155 @t106 @t154)) % 0.64/0.90 (define @t157 () (forall @t9 (not @t74))) % 0.64/0.90 (define @t158 () (not @t157)) % 0.64/0.90 (define @t159 () (= tptp.xu (tptp.sdtpldt0 @t118 @t143))) % 0.64/0.90 (define @t160 () (not @t159)) % 0.64/0.90 (define @t161 () (or @t122 @t147 @t160)) % 0.64/0.90 (define @t162 () (and @t159 @t160)) % 0.64/0.90 (assume @p1 (forall @t3 (=> @t2 true))) % 0.64/0.90 (assume @p2 (tptp.aElement0 tptp.sz00)) % 0.64/0.90 (assume @p3 (tptp.aElement0 tptp.sz10)) % 0.64/0.90 (assume @p4 (forall @t3 (=> @t2 (tptp.aElement0 @t4)))) % 0.64/0.90 (assume @p5 (forall @t9 (=> @t8 (tptp.aElement0 @t6)))) % 0.64/0.90 (assume @p6 (forall @t9 (=> @t8 (tptp.aElement0 @t10)))) % 0.64/0.90 (assume @p7 (forall @t9 (=> @t8 (= @t6 (tptp.sdtpldt0 @t5 @t1))))) % 0.64/0.90 (assume @p8 (forall @t15 (=> @t14 (= (tptp.sdtpldt0 @t6 @t11) (tptp.sdtpldt0 @t1 @t12))))) % 0.64/0.90 (assume @p9 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 0.64/0.90 (assume @p10 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 @t4) tptp.sz00) (= tptp.sz00 (tptp.sdtpldt0 @t4 @t1)))))) % 0.64/0.90 (assume @p11 (forall @t9 (=> @t8 (= @t10 @t16)))) % 0.64/0.90 (assume @p12 (forall @t15 (=> @t14 (= (tptp.sdtasdt0 @t10 @t11) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t5 @t11)))))) % 0.64/0.90 (assume @p13 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 0.64/0.90 (assume @p14 (forall @t15 (=> @t14 (and (= (tptp.sdtasdt0 @t1 @t12) (tptp.sdtpldt0 @t10 @t17)) (= (tptp.sdtasdt0 @t12 @t1) (tptp.sdtpldt0 @t16 (tptp.sdtasdt0 @t11 @t1))))))) % 0.64/0.90 (assume @p15 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t18 @t1) @t4) (= @t4 (tptp.sdtasdt0 @t1 @t18)))))) % 0.64/0.90 (assume @p16 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 0.64/0.90 (assume @p17 (forall @t9 (=> @t8 (=> (= @t10 tptp.sz00) (or @t20 @t19))))) % 0.64/0.90 (assume @p18 (not (= tptp.sz10 tptp.sz00))) % 0.64/0.90 (assume @p19 (forall @t3 (=> @t21 true))) % 0.64/0.90 (assume @p20 (forall @t3 (=> @t21 (forall @t23 (=> @t22 @t7))))) % 0.64/0.90 (assume @p21 (forall @t9 (=> @t28 (=> (and (forall @t26 (=> @t24 @t25)) (forall @t26 (=> @t25 @t24))) (= @t1 @t5))))) % 0.64/0.90 (assume @p22 (forall @t9 (=> @t28 (forall @t26 (= (= @t11 @t35) (and @t34 (forall @t33 (= @t32 (exists (@list @t31 @t30) (and (tptp.aElementOf0 @t31 @t1) (tptp.aElementOf0 @t30 @t5) (= (tptp.sdtpldt0 @t31 @t30) @t29))))))))))) % 0.64/0.90 (assume @p23 (forall @t9 (=> @t28 (forall @t26 (= (= @t11 @t36) (and @t34 (forall @t33 (= @t32 (and (tptp.aElementOf0 @t29 @t1) (tptp.aElementOf0 @t29 @t5)))))))))) % 0.64/0.90 (assume @p24 (forall @t3 (= @t38 (and @t21 (forall @t23 (=> @t22 (and (forall @t26 (=> @t24 (tptp.aElementOf0 @t12 @t1))) (forall @t26 (=> @t13 (tptp.aElementOf0 @t37 @t1)))))))))) % 0.64/0.90 (assume @p25 (forall @t9 (=> @t39 (tptp.aIdeal0 @t35)))) % 0.64/0.90 (assume @p26 (forall @t9 (=> @t39 (tptp.aIdeal0 @t36)))) % 0.64/0.90 (assume @p27 (forall @t15 (=> (and @t2 @t7 (tptp.aIdeal0 @t11)) (= (tptp.sdteqdtlpzmzozddtrp0 @t1 @t5 @t11) (tptp.aElementOf0 (tptp.sdtpldt0 @t1 (tptp.smndt0 @t5)) @t11))))) % 0.64/0.90 (assume @p28 (forall @t9 (=> @t39 (=> (forall @t26 (=> @t13 (tptp.aElementOf0 @t11 @t35))) (forall @t41 (=> (and @t13 @t40) (exists (@list @t31) (and (tptp.aElement0 @t31) (tptp.sdteqdtlpzmzozddtrp0 @t31 @t11 @t1) (tptp.sdteqdtlpzmzozddtrp0 @t31 @t29 @t5))))))))) % 0.64/0.90 (assume @p29 (forall @t3 (=> @t42 true))) % 0.64/0.90 (assume @p30 (forall @t3 (=> (and @t2 @t44) (tptp.aNaturalNumber0 @t43)))) % 0.64/0.90 (assume @p31 (forall @t9 (=> (and @t42 (tptp.aNaturalNumber0 @t5)) (=> (tptp.iLess0 @t1 @t5) true)))) % 0.64/0.90 (assume @p32 (forall @t9 (=> (and @t2 @t7 (not @t19)) (exists @t41 (and @t13 @t40 (= @t1 (tptp.sdtpldt0 @t37 @t29)) (=> (not (= @t29 tptp.sz00)) (tptp.iLess0 (tptp.sbrdtbr0 @t29) (tptp.sbrdtbr0 @t5)))))))) % 0.64/0.90 (assume @p33 (forall @t9 (=> @t8 (= (tptp.doDivides0 @t1 @t5) (exists @t26 (and @t13 (= @t17 @t5))))))) % 0.64/0.90 (assume @p34 (forall @t3 (=> @t2 (forall @t23 (= (tptp.aDivisorOf0 @t5 @t1) (and @t7 (tptp.doDivides0 @t5 @t1))))))) % 0.64/0.90 (assume @p35 (forall @t9 (=> @t8 (forall @t26 (= (tptp.aGcdOfAnd0 @t11 @t1 @t5) (and (tptp.aDivisorOf0 @t11 @t1) (tptp.aDivisorOf0 @t11 @t5) (forall @t33 (=> (and (tptp.aDivisorOf0 @t29 @t1) (tptp.aDivisorOf0 @t29 @t5)) (tptp.doDivides0 @t29 @t11))))))))) % 0.64/0.90 (assume @p36 (forall @t9 (=> @t8 (= (tptp.misRelativelyPrime0 @t1 @t5) (tptp.aGcdOfAnd0 tptp.sz10 @t1 @t5))))) % 0.64/0.90 (assume @p37 (forall @t3 (=> @t2 (forall @t23 (= (= @t5 @t45) (and @t27 (forall @t26 (= @t25 (exists @t33 (and @t40 (= (tptp.sdtasdt0 @t1 @t29) @t11))))))))))) % 0.64/0.90 (assume @p38 (forall @t3 (=> @t2 (tptp.aIdeal0 @t45)))) % 0.64/0.90 (assume @p39 (and (tptp.aElement0 tptp.xa) (tptp.aElement0 tptp.xb))) % 0.64/0.90 (assume @p40 (or (not (= tptp.xa tptp.sz00)) (not (= tptp.xb tptp.sz00)))) % 0.64/0.90 (assume @p41 (and @t47 (exists @t3 (and @t2 (= @t46 tptp.xa))) (tptp.doDivides0 tptp.xc tptp.xa) (tptp.aDivisorOf0 tptp.xc tptp.xa) @t47 (exists @t3 (and @t2 (= @t46 tptp.xb))) (tptp.doDivides0 tptp.xc tptp.xb) (tptp.aDivisorOf0 tptp.xc tptp.xb) (forall @t3 (=> (and (or (and @t2 (or (exists @t23 (and @t7 (= @t10 tptp.xa))) (tptp.doDivides0 @t1 tptp.xa))) (tptp.aDivisorOf0 @t1 tptp.xa)) (or (exists @t23 (and @t7 (= @t10 tptp.xb))) (tptp.doDivides0 @t1 tptp.xb) (tptp.aDivisorOf0 @t1 tptp.xb))) (and (exists @t23 (and @t7 (= @t10 tptp.xc))) (tptp.doDivides0 @t1 tptp.xc)))) (tptp.aGcdOfAnd0 tptp.xc tptp.xa tptp.xb))) % 0.64/0.90 (assume @p42 (and (tptp.aSet0 tptp.xI) (forall @t3 (=> @t53 (and (forall @t23 (=> (tptp.aElementOf0 @t5 tptp.xI) (tptp.aElementOf0 @t6 tptp.xI))) (forall @t23 (=> @t7 (tptp.aElementOf0 @t16 tptp.xI)))))) (tptp.aIdeal0 tptp.xI) @t65 @t59 (forall @t3 (= @t53 @t52)) (= tptp.xI @t50))) % 0.64/0.90 (assume @p43 (and (exists @t3 (and @t2 (= @t67 tptp.sz00))) (tptp.aElementOf0 tptp.sz00 @t49) (exists @t3 (and @t2 (= @t67 tptp.xa))) (tptp.aElementOf0 tptp.xa @t49) (exists @t3 (and @t2 (= @t66 tptp.sz00))) (tptp.aElementOf0 tptp.sz00 @t48) (exists @t3 (and @t2 (= @t66 tptp.xb))) (tptp.aElementOf0 tptp.xb @t48))) % 0.64/0.90 (assume @p44 (exists @t3 (and (forall @t23 (= @t51 (exists @t26 (and @t13 (= (tptp.sdtasdt0 tptp.xa @t11) @t5))))) (forall @t23 (= @t68 (exists @t26 (and @t13 (= (tptp.sdtasdt0 tptp.xb @t11) @t5))))) @t52 (tptp.aElementOf0 @t1 @t50) @t44))) % 0.64/0.90 (assume @p45 (and @t71 (tptp.aElementOf0 tptp.xu tptp.xI) (not (= tptp.xu tptp.sz00)) (forall @t3 (=> (and (or @t52 @t53) @t44) (not (tptp.iLess0 @t43 (tptp.sbrdtbr0 tptp.xu))))))) % 0.64/0.90 (assume @p46 (not (and (or (exists @t3 (and @t2 (= @t72 tptp.xa))) (tptp.doDivides0 tptp.xu tptp.xa) (tptp.aDivisorOf0 tptp.xu tptp.xa)) (or (exists @t3 (and @t2 (= @t72 tptp.xb))) (tptp.doDivides0 tptp.xu tptp.xb) (tptp.aDivisorOf0 tptp.xu tptp.xb))))) % 0.64/0.90 (assume @p47 @t76) % 0.64/0.90 (assume @p48 true) % 0.64/0.90 (step @p49 :rule aci_norm :args ((= (or @t79 (or @t78 @t77)) @t80))) % 0.64/0.90 (step @p50 :rule bool-and-de-morgan :args (@t68 @t69 true)) % 0.64/0.90 (step @p51 :rule refl :args (@t79)) % 0.64/0.90 (step @p52 :rule nary_cong :premises (@p51 @p50) :args ((or @t79 (not (and @t68 @t69))))) % 0.64/0.90 (step @p53 :rule bool-and-de-morgan :args (@t63 @t68 (and @t69))) % 0.64/0.90 (step @p54 :rule trans :premises (@p53 @p52)) % 0.64/0.90 (step @p55 :rule trans :premises (@p54 @p49)) % 0.64/0.90 (step @p56 :rule cong :premises (@p55) :args (@t81)) % 0.36/0.90 (step @p57 :rule cong :premises (@p56) :args (@t82)) % 0.36/0.90 (step @p58 :rule exists-elim :args ((= @t71 @t82))) % 0.36/0.90 (step @p59 :rule trans :premises (@p58 @p57)) % 0.36/0.90 (step @p60 :rule and_elim :premises (@p45) :args (0)) % 0.36/0.90 (step @p61 :rule eq_resolve :premises (@p60 @p59)) % 0.36/0.90 (step @p62 :rule refl :args (@t94)) % 0.36/0.90 (step @p63 :rule bool-double-not-elim :args (@t83)) % 0.36/0.90 (step @p64 :rule nary_cong :premises (@p63 @p62) :args ((or (not @t95) @t94))) % 0.36/0.90 (step @p65 :rule eq-symm :args (@t86 tptp.xu)) % 0.36/0.90 (step @p66 :rule cong :premises (@p65) :args (@t96)) % 0.36/0.90 (step @p67 :rule refl :args (@t90)) % 0.36/0.90 (step @p68 :rule refl :args (@t92)) % 0.36/0.90 (step @p69 :rule nary_cong :premises (@p68 @p67 @p66) :args (@t97)) % 0.36/0.90 (step @p70 :rule cong :premises (@p69) :args (@t98)) % 0.36/0.90 (step @p71 :rule refl :args (@t95)) % 0.36/0.90 (step @p72 :rule cong :premises (@p71 @p70) :args ((=> @t95 @t98))) % 0.36/0.90 (assume-push @p284 @t95) % 0.36/0.90 (step @p74 :rule skolemize :premises (@p61)) % 0.36/0.90 (step-pop @p285 :rule scope :premises (@p74)) % 0.36/0.90 (step @p75 :rule process_scope :premises (@p285) :args (@t98)) % 0.36/0.90 (step @p77 :rule eq_resolve :premises (@p75 @p72)) % 0.36/0.90 (step @p78 :rule implies_elim :premises (@p77)) % 0.36/0.90 (step @p79 :rule eq_resolve :premises (@p78 @p64)) % 0.36/0.90 (step @p80 :rule chain_m_resolution :premises (@p79 @p61) :args (@t94 @t99 (@list @t83))) % 0.36/0.90 (step @p81 :rule bool-double-not-elim :args (@t87)) % 0.36/0.90 (step @p82 :rule refl :args (@t93)) % 0.36/0.90 (step @p83 :rule nary_cong :premises (@p82 @p81) :args ((or @t93 (not @t88)))) % 0.36/0.90 (step @p84 :rule cnf_or_neg :args (@t93 2)) % 0.36/0.90 (step @p85 :rule eq_resolve :premises (@p84 @p83)) % 0.36/0.90 (step @p86 :rule reordering :premises (@p85) :args ((or @t87 @t93))) % 0.36/0.90 (step @p87 :rule chain_m_resolution :premises (@p86 @p80) :args (@t87 @t99 @t100)) % 0.36/0.90 (step @p88 :rule bool-and-de-morgan :args (@t7 @t101 true)) % 0.36/0.90 (step @p89 :rule cong :premises (@p88) :args (@t103)) % 0.36/0.90 (step @p90 :rule cong :premises (@p89) :args (@t104)) % 0.36/0.90 (step @p91 :rule exists-elim :args ((= (exists @t23 @t102) @t104))) % 0.36/0.90 (step @p92 :rule trans :premises (@p91 @p90)) % 0.36/0.90 (step @p93 :rule eq-symm :args (@t60 @t1)) % 0.36/0.90 (step @p94 :rule refl :args (@t7)) % 0.36/0.90 (step @p95 :rule nary_cong :premises (@p94 @p93) :args (@t61)) % 0.36/0.90 (step @p96 :rule cong :premises (@p95) :args (@t62)) % 0.36/0.90 (step @p97 :rule trans :premises (@p96 @p92)) % 0.36/0.90 (step @p98 :rule refl :args (@t63)) % 0.36/0.90 (step @p99 :rule cong :premises (@p98 @p97) :args (@t64)) % 0.36/0.90 (step @p100 :rule cong :premises (@p99) :args (@t65)) % 0.36/0.90 (step @p101 :rule and_elim :premises (@p42) :args (3)) % 0.36/0.90 (step @p102 :rule eq_resolve :premises (@p101 @p100)) % 0.36/0.90 (step @p103 :rule eq-symm :args (@t85 @t60)) % 0.36/0.90 (step @p104 :rule cong :premises (@p103) :args (@t105)) % 0.36/0.90 (step @p105 :rule refl :args (@t106)) % 0.36/0.90 (step @p106 :rule nary_cong :premises (@p105 @p104) :args (@t107)) % 0.36/0.90 (step @p107 :rule cong :premises (@p106) :args (@t108)) % 0.36/0.90 (step @p108 :rule cong :premises (@p107) :args (@t109)) % 0.36/0.90 (step @p109 :rule refl :args (@t91)) % 0.36/0.90 (step @p110 :rule cong :premises (@p109 @p108) :args (@t110)) % 0.36/0.90 (step @p111 :rule refl :args (@t111)) % 0.36/0.90 (step @p112 :rule cong :premises (@p111 @p110) :args ((=> @t111 @t110))) % 0.36/0.90 (assume-push @p286 @t111) % 0.36/0.90 (step @p114 :rule instantiate :premises (@p102) :args ((@list @t85))) % 0.36/0.90 (step-pop @p287 :rule scope :premises (@p114)) % 0.36/0.90 (step @p115 :rule process_scope :premises (@p287) :args (@t110)) % 0.36/0.90 (step @p117 :rule eq_resolve :premises (@p115 @p112)) % 0.36/0.90 (step @p118 :rule implies_elim :premises (@p117)) % 0.36/0.90 (step @p119 :rule chain_m_resolution :premises (@p118 @p102) :args (@t114 @t115 (@list @t111))) % 0.36/0.90 (step @p120 :rule bool-double-not-elim :args (@t91)) % 0.36/0.90 (step @p121 :rule nary_cong :premises (@p82 @p120) :args ((or @t93 (not @t92)))) % 0.36/0.90 (step @p122 :rule cnf_or_neg :args (@t93 0)) % 0.36/0.90 (step @p123 :rule eq_resolve :premises (@p122 @p121)) % 0.36/0.90 (step @p124 :rule reordering :premises (@p123) :args ((or @t91 @t93))) % 0.36/0.90 (step @p125 :rule chain_m_resolution :premises (@p124 @p80) :args (@t91 @t99 @t100)) % 0.36/0.90 (step @p126 :rule cnf_equiv_pos1 :args (@t114)) % 0.36/0.90 (step @p127 :rule reordering :premises (@p126) :args ((or @t92 @t113 (not @t114)))) % 0.36/0.90 (step @p128 :rule chain_m_resolution :premises (@p127 @p125 @p119) :args (@t113 @t116 (@list @t91 @t114))) % 0.36/0.90 (step @p129 :rule refl :args (@t124)) % 0.36/0.90 (step @p130 :rule bool-double-not-elim :args (@t112)) % 0.36/0.90 (step @p131 :rule nary_cong :premises (@p130 @p129) :args ((or (not @t113) @t124))) % 0.36/0.90 (step @p132 :rule eq-symm :args (@t118 @t85)) % 0.36/0.90 (step @p133 :rule cong :premises (@p132) :args (@t125)) % 0.36/0.90 (step @p134 :rule refl :args (@t122)) % 0.36/0.90 (step @p135 :rule nary_cong :premises (@p134 @p133) :args (@t126)) % 0.36/0.90 (step @p136 :rule cong :premises (@p135) :args (@t127)) % 0.36/0.90 (step @p137 :rule refl :args (@t113)) % 0.36/0.90 (step @p138 :rule cong :premises (@p137 @p136) :args ((=> @t113 @t127))) % 0.36/0.90 (assume-push @p288 @t113) % 0.36/0.90 (step @p140 :rule skolemize :premises (@p128)) % 0.36/0.90 (step-pop @p289 :rule scope :premises (@p140)) % 0.36/0.90 (step @p141 :rule process_scope :premises (@p289) :args (@t127)) % 0.36/0.90 (step @p143 :rule eq_resolve :premises (@p141 @p138)) % 0.36/0.90 (step @p144 :rule implies_elim :premises (@p143)) % 0.36/0.90 (step @p145 :rule eq_resolve :premises (@p144 @p131)) % 0.36/0.90 (step @p146 :rule chain_m_resolution :premises (@p145 @p128) :args (@t124 @t99 (@list @t112))) % 0.36/0.90 (step @p147 :rule bool-double-not-elim :args (@t119)) % 0.36/0.90 (step @p148 :rule refl :args (@t123)) % 0.36/0.90 (step @p149 :rule nary_cong :premises (@p148 @p147) :args ((or @t123 (not @t120)))) % 0.36/0.90 (step @p150 :rule cnf_or_neg :args (@t123 1)) % 0.36/0.90 (step @p151 :rule eq_resolve :premises (@p150 @p149)) % 0.36/0.90 (step @p152 :rule reordering :premises (@p151) :args ((or @t119 @t123))) % 0.36/0.90 (step @p153 :rule chain_m_resolution :premises (@p152 @p146) :args (@t119 @t99 @t128)) % 0.36/0.90 (step @p154 :rule bool-and-de-morgan :args (@t7 @t129 true)) % 0.36/0.90 (step @p155 :rule cong :premises (@p154) :args (@t131)) % 0.36/0.90 (step @p156 :rule cong :premises (@p155) :args (@t132)) % 0.36/0.90 (step @p157 :rule exists-elim :args ((= (exists @t23 @t130) @t132))) % 0.36/0.90 (step @p158 :rule trans :premises (@p157 @p156)) % 0.36/0.90 (step @p159 :rule eq-symm :args (@t54 @t1)) % 0.36/0.90 (step @p160 :rule nary_cong :premises (@p94 @p159) :args (@t55)) % 0.36/0.90 (step @p161 :rule cong :premises (@p160) :args (@t56)) % 0.36/0.90 (step @p162 :rule trans :premises (@p161 @p158)) % 0.36/0.90 (step @p163 :rule refl :args (@t57)) % 0.36/0.90 (step @p164 :rule cong :premises (@p163 @p162) :args (@t58)) % 0.36/0.90 (step @p165 :rule cong :premises (@p164) :args (@t59)) % 0.36/0.90 (step @p166 :rule and_elim :premises (@p42) :args (4)) % 0.36/0.90 (step @p167 :rule eq_resolve :premises (@p166 @p165)) % 0.36/0.90 (step @p168 :rule eq-symm :args (@t84 @t54)) % 0.36/0.90 (step @p169 :rule cong :premises (@p168) :args (@t133)) % 0.36/0.90 (step @p170 :rule nary_cong :premises (@p105 @p169) :args (@t134)) % 0.36/0.90 (step @p171 :rule cong :premises (@p170) :args (@t135)) % 0.36/0.90 (step @p172 :rule cong :premises (@p171) :args (@t136)) % 0.36/0.90 (step @p173 :rule refl :args (@t89)) % 0.36/0.90 (step @p174 :rule cong :premises (@p173 @p172) :args (@t137)) % 0.36/0.90 (step @p175 :rule refl :args (@t138)) % 0.36/0.90 (step @p176 :rule cong :premises (@p175 @p174) :args ((=> @t138 @t137))) % 0.36/0.90 (assume-push @p290 @t138) % 0.36/0.90 (step @p178 :rule instantiate :premises (@p167) :args ((@list @t84))) % 0.36/0.90 (step-pop @p291 :rule scope :premises (@p178)) % 0.36/0.90 (step @p179 :rule process_scope :premises (@p291) :args (@t137)) % 0.36/0.90 (step @p181 :rule eq_resolve :premises (@p179 @p176)) % 0.36/0.90 (step @p182 :rule implies_elim :premises (@p181)) % 0.36/0.90 (step @p183 :rule chain_m_resolution :premises (@p182 @p167) :args (@t141 @t115 (@list @t138))) % 0.36/0.90 (step @p184 :rule bool-double-not-elim :args (@t89)) % 0.36/0.90 (step @p185 :rule nary_cong :premises (@p82 @p184) :args ((or @t93 (not @t90)))) % 0.36/0.90 (step @p186 :rule cnf_or_neg :args (@t93 1)) % 0.36/0.90 (step @p187 :rule eq_resolve :premises (@p186 @p185)) % 0.36/0.90 (step @p188 :rule reordering :premises (@p187) :args ((or @t89 @t93))) % 0.36/0.90 (step @p189 :rule chain_m_resolution :premises (@p188 @p80) :args (@t89 @t99 @t100)) % 0.36/0.90 (step @p190 :rule cnf_equiv_pos1 :args (@t141)) % 0.36/0.90 (step @p191 :rule reordering :premises (@p190) :args ((or @t90 @t140 (not @t141)))) % 0.36/0.90 (step @p192 :rule chain_m_resolution :premises (@p191 @p189 @p183) :args (@t140 @t116 (@list @t89 @t141))) % 0.36/0.90 (step @p193 :rule refl :args (@t149)) % 0.36/0.90 (step @p194 :rule bool-double-not-elim :args (@t139)) % 0.36/0.90 (step @p195 :rule nary_cong :premises (@p194 @p193) :args ((or (not @t140) @t149))) % 0.36/0.90 (step @p196 :rule eq-symm :args (@t143 @t84)) % 0.36/0.90 (step @p197 :rule cong :premises (@p196) :args (@t150)) % 0.36/0.90 (step @p198 :rule refl :args (@t147)) % 0.36/0.90 (step @p199 :rule nary_cong :premises (@p198 @p197) :args (@t151)) % 0.36/0.90 (step @p200 :rule cong :premises (@p199) :args (@t152)) % 0.36/0.90 (step @p201 :rule refl :args (@t140)) % 0.36/0.90 (step @p202 :rule cong :premises (@p201 @p200) :args ((=> @t140 @t152))) % 0.36/0.90 (assume-push @p292 @t140) % 0.36/0.90 (step @p204 :rule skolemize :premises (@p192)) % 0.36/0.90 (step-pop @p293 :rule scope :premises (@p204)) % 0.36/0.90 (step @p205 :rule process_scope :premises (@p293) :args (@t152)) % 0.36/0.90 (step @p207 :rule eq_resolve :premises (@p205 @p202)) % 0.36/0.90 (step @p208 :rule implies_elim :premises (@p207)) % 0.36/0.90 (step @p209 :rule eq_resolve :premises (@p208 @p195)) % 0.36/0.90 (step @p210 :rule chain_m_resolution :premises (@p209 @p192) :args (@t149 @t99 (@list @t139))) % 0.36/0.90 (step @p211 :rule bool-double-not-elim :args (@t144)) % 0.36/0.90 (step @p212 :rule refl :args (@t148)) % 0.36/0.90 (step @p213 :rule nary_cong :premises (@p212 @p211) :args ((or @t148 (not @t145)))) % 0.36/0.90 (step @p214 :rule cnf_or_neg :args (@t148 1)) % 0.36/0.90 (step @p215 :rule eq_resolve :premises (@p214 @p213)) % 0.36/0.90 (step @p216 :rule reordering :premises (@p215) :args ((or @t144 @t148))) % 0.36/0.90 (step @p217 :rule chain_m_resolution :premises (@p216 @p210) :args (@t144 @t99 @t153)) % 0.36/0.90 (step @p218 :rule bool-double-not-elim :args ((forall @t9 @t156))) % 0.36/0.90 (step @p219 :rule aci_norm :args ((= (or @t155 (or @t106 @t154)) @t156))) % 0.36/0.90 (step @p220 :rule bool-and-de-morgan :args (@t7 @t73 true)) % 0.36/0.90 (step @p221 :rule refl :args (@t155)) % 0.36/0.90 (step @p222 :rule nary_cong :premises (@p221 @p220) :args ((or @t155 (not (and @t7 @t73))))) % 0.36/0.90 (step @p223 :rule bool-and-de-morgan :args (@t2 @t7 (and @t73))) % 0.36/0.90 (step @p224 :rule trans :premises (@p223 @p222)) % 0.36/0.90 (step @p225 :rule trans :premises (@p224 @p219)) % 0.36/0.90 (step @p226 :rule cong :premises (@p225) :args (@t157)) % 0.36/0.90 (step @p227 :rule cong :premises (@p226) :args (@t158)) % 0.36/0.90 (step @p228 :rule exists-elim :args ((= @t75 @t158))) % 0.36/0.90 (step @p229 :rule trans :premises (@p228 @p227)) % 0.36/0.90 (step @p230 :rule cong :premises (@p229) :args (@t76)) % 0.36/0.90 (step @p231 :rule trans :premises (@p230 @p218)) % 0.36/0.90 (step @p232 :rule eq_resolve :premises (@p47 @p231)) % 0.36/0.90 (step @p233 :rule instantiate :premises (@p232) :args ((@list @t117 @t142))) % 0.36/0.90 (step @p234 :rule bool-double-not-elim :args (@t146)) % 0.36/0.90 (step @p235 :rule nary_cong :premises (@p212 @p234) :args ((or @t148 (not @t147)))) % 0.36/0.90 (step @p236 :rule cnf_or_neg :args (@t148 0)) % 0.36/0.90 (step @p237 :rule eq_resolve :premises (@p236 @p235)) % 0.36/0.90 (step @p238 :rule reordering :premises (@p237) :args ((or @t146 @t148))) % 0.36/0.90 (step @p239 :rule chain_m_resolution :premises (@p238 @p210) :args (@t146 @t99 @t153)) % 0.36/0.90 (step @p240 :rule bool-double-not-elim :args (@t121)) % 0.36/0.90 (step @p241 :rule nary_cong :premises (@p148 @p240) :args ((or @t123 (not @t122)))) % 0.36/0.90 (step @p242 :rule cnf_or_neg :args (@t123 0)) % 0.36/0.90 (step @p243 :rule eq_resolve :premises (@p242 @p241)) % 0.36/0.90 (step @p244 :rule reordering :premises (@p243) :args ((or @t121 @t123))) % 0.36/0.90 (step @p245 :rule chain_m_resolution :premises (@p244 @p146) :args (@t121 @t99 @t128)) % 0.36/0.90 (step @p246 :rule cnf_or_pos :args (@t161)) % 0.36/0.90 (step @p247 :rule reordering :premises (@p246) :args ((or @t122 @t147 @t160 (not @t161)))) % 0.36/0.90 (step @p248 :rule chain_m_resolution :premises (@p247 @p245 @p239 @p233) :args (@t160 (@list false false false) (@list @t121 @t146 @t161))) % 0.36/0.90 (step @p249 :rule bool-double-not-elim :args (@t159)) % 0.36/0.90 (step @p250 :rule refl :args (@t145)) % 0.36/0.90 (step @p251 :rule refl :args (@t120)) % 0.36/0.90 (step @p252 :rule refl :args (@t88)) % 0.36/0.90 (step @p253 :rule nary_cong :premises (@p252 @p251 @p250 @p249) :args ((or @t88 @t120 @t145 (not @t160)))) % 0.36/0.90 (assume-push @p294 @t159) % 0.36/0.90 (assume-push @p295 @t160) % 0.36/0.90 (step @p256 :rule evaluate :args ((= true false))) % 0.36/0.90 (step @p257 :rule false_intro :premises (@p248)) % 0.36/0.90 (step @p258 :rule cong :premises (@p153 @p217) :args (@t86)) % 0.36/0.90 (step @p259 :rule chain_m_resolution :premises (@p86 @p80) :args (@t87 @t99 @t100)) % 0.36/0.90 (step @p260 :rule trans :premises (@p259 @p258)) % 0.36/0.90 (step @p261 :rule true_intro :premises (@p260)) % 0.36/0.90 (step @p262 :rule symm :premises (@p261)) % 0.36/0.90 (step @p263 :rule trans :premises (@p262 @p257)) % 0.36/0.90 (step @p264 false :rule eq_resolve :premises (@p263 @p256)) % 0.36/0.90 (step-pop @p296 :rule scope :premises (@p264)) % 0.36/0.90 (step-pop @p297 :rule scope :premises (@p296)) % 0.36/0.90 (step @p265 :rule process_scope :premises (@p297) :args (false)) % 0.36/0.90 (assume-push @p298 @t87) % 0.36/0.90 (assume-push @p299 @t119) % 0.36/0.90 (assume-push @p300 @t144) % 0.36/0.90 (assume-push @p301 @t160) % 0.36/0.90 (step @p258 :rule cong :premises (@p153 @p217) :args (@t86)) % 0.36/0.90 (step @p272 :rule trans :premises (@p87 @p258)) % 0.36/0.90 (step @p273 :rule and_intro :premises (@p272 @p248)) % 0.36/0.90 (step-pop @p302 :rule scope :premises (@p273)) % 0.36/0.90 (step-pop @p303 :rule scope :premises (@p302)) % 0.36/0.90 (step-pop @p304 :rule scope :premises (@p303)) % 0.36/0.90 (step-pop @p305 :rule scope :premises (@p304)) % 0.36/0.90 (step @p274 :rule process_scope :premises (@p305) :args (@t162)) % 0.36/0.90 (step @p279 :rule implies_elim :premises (@p274)) % 0.36/0.90 (step @p280 :rule resolution :premises (@p279 @p265) :args (true @t162)) % 0.36/0.90 (step @p281 :rule not_and :premises (@p280)) % 0.36/0.90 (step @p282 :rule eq_resolve :premises (@p281 @p253)) % 0.36/0.90 (step @p283 false :rule chain_m_resolution :premises (@p282 @p248 @p217 @p153 @p87) :args (false (@list true false false false) (@list @t159 @t144 @t119 @t87))) % 0.36/0.90 ) % 0.36/0.90 % SZS output end Proof % 0.36/0.90 % cvc5 exiting %------------------------------------------------------------------------------