%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG120+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n002.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 7.71s 7.92s % Output : Proof 7.71s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG120+1 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n002.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 14:08:33 EDT 2026 % 0.16/0.34 % CPUTime : % 0.25/0.50 %----Proving TF0_NAR, FOF, or CNF % 7.71/7.92 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 7.71/7.92 % SZS status Theorem % 7.71/7.92 % SZS output start Proof % 7.71/7.92 ( % 7.71/7.92 (declare-sort $$unsorted 0) % 7.71/7.92 (declare-const tptp.xq $$unsorted) % 7.71/7.92 (declare-const tptp.xu $$unsorted) % 7.71/7.92 (declare-const tptp.xc $$unsorted) % 7.71/7.92 (declare-const tptp.xa $$unsorted) % 7.71/7.92 (declare-const tptp.xI $$unsorted) % 7.71/7.92 (declare-const tptp.slsdtgt0 (-> $$unsorted $$unsorted)) % 7.71/7.92 (declare-const tptp.aDivisorOf0 (-> $$unsorted $$unsorted Bool)) % 7.71/7.92 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 7.71/7.92 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 7.71/7.92 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 7.71/7.92 (declare-const tptp.sz00 $$unsorted) % 7.71/7.92 (declare-const tptp.sz10 $$unsorted) % 7.71/7.92 (declare-const tptp.aGcdOfAnd0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 7.71/7.92 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 7.71/7.92 (declare-const tptp.xr $$unsorted) % 7.71/7.92 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 7.71/7.92 (declare-const tptp.sdtasasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 7.71/7.92 (declare-const tptp.aIdeal0 (-> $$unsorted Bool)) % 7.71/7.92 (declare-const tptp.misRelativelyPrime0 (-> $$unsorted $$unsorted Bool)) % 7.71/7.92 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 7.71/7.92 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 7.71/7.92 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 7.71/7.92 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 7.71/7.92 (declare-const tptp.sdteqdtlpzmzozddtrp0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 7.71/7.92 (declare-const tptp.xb $$unsorted) % 7.71/7.92 (declare-const tptp.sdtpldt1 (-> $$unsorted $$unsorted $$unsorted)) % 7.71/7.92 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 7.71/7.92 (define @t1 () (@var "W0" $$unsorted)) % 7.71/7.92 (define @t2 () (tptp.aElement0 @t1)) % 7.71/7.92 (define @t3 () (@list @t1)) % 7.71/7.92 (define @t4 () (tptp.aElement0 tptp.sz10)) % 7.71/7.92 (define @t5 () (tptp.smndt0 @t1)) % 7.71/7.92 (define @t6 () (tptp.aElement0 @t5)) % 7.71/7.92 (define @t7 () (forall @t3 (=> @t2 @t6))) % 7.71/7.92 (define @t8 () (@var "W1" $$unsorted)) % 7.71/7.92 (define @t9 () (tptp.sdtpldt0 @t1 @t8)) % 7.71/7.92 (define @t10 () (tptp.aElement0 @t8)) % 7.71/7.92 (define @t11 () (and @t2 @t10)) % 7.71/7.92 (define @t12 () (@list @t1 @t8)) % 7.71/7.92 (define @t13 () (tptp.sdtasdt0 @t1 @t8)) % 7.71/7.92 (define @t14 () (tptp.aElement0 @t13)) % 7.71/7.92 (define @t15 () (forall @t12 (=> @t11 @t14))) % 7.71/7.92 (define @t16 () (@var "W2" $$unsorted)) % 7.71/7.92 (define @t17 () (tptp.sdtpldt0 @t8 @t16)) % 7.71/7.92 (define @t18 () (tptp.aElement0 @t16)) % 7.71/7.92 (define @t19 () (and @t2 @t10 @t18)) % 7.71/7.92 (define @t20 () (@list @t1 @t8 @t16)) % 7.71/7.92 (define @t21 () (tptp.sdtasdt0 @t8 @t1)) % 7.71/7.92 (define @t22 () (= (tptp.sdtasdt0 @t13 @t16) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t8 @t16)))) % 7.71/7.92 (define @t23 () (forall @t20 (=> @t19 @t22))) % 7.71/7.92 (define @t24 () (tptp.sdtasdt0 @t1 @t16)) % 7.71/7.92 (define @t25 () (tptp.smndt0 tptp.sz10)) % 7.71/7.92 (define @t26 () (= @t5 (tptp.sdtasdt0 @t1 @t25))) % 7.71/7.92 (define @t27 () (tptp.sdtasdt0 @t25 @t1)) % 7.71/7.92 (define @t28 () (and (= @t27 @t5) @t26)) % 7.71/7.92 (define @t29 () (=> @t2 @t28)) % 7.71/7.92 (define @t30 () (forall @t3 @t29)) % 7.71/7.92 (define @t31 () (= @t8 tptp.sz00)) % 7.71/7.92 (define @t32 () (= @t1 tptp.sz00)) % 7.71/7.92 (define @t33 () (tptp.aSet0 @t1)) % 7.71/7.92 (define @t34 () (tptp.aElementOf0 @t8 @t1)) % 7.71/7.92 (define @t35 () (@list @t8)) % 7.71/7.92 (define @t36 () (forall @t35 (=> @t34 @t10))) % 7.71/7.92 (define @t37 () (=> @t33 @t36)) % 7.71/7.92 (define @t38 () (forall @t3 @t37)) % 7.71/7.92 (define @t39 () (tptp.aElementOf0 @t16 @t1)) % 7.71/7.92 (define @t40 () (tptp.aElementOf0 @t16 @t8)) % 7.71/7.92 (define @t41 () (@list @t16)) % 7.71/7.92 (define @t42 () (tptp.aSet0 @t8)) % 7.71/7.92 (define @t43 () (and @t33 @t42)) % 7.71/7.92 (define @t44 () (@var "W3" $$unsorted)) % 7.71/7.92 (define @t45 () (@var "W5" $$unsorted)) % 7.71/7.92 (define @t46 () (@var "W4" $$unsorted)) % 7.71/7.92 (define @t47 () (tptp.aElementOf0 @t44 @t16)) % 7.71/7.92 (define @t48 () (@list @t44)) % 7.71/7.92 (define @t49 () (tptp.aSet0 @t16)) % 7.71/7.92 (define @t50 () (tptp.sdtpldt1 @t1 @t8)) % 7.71/7.92 (define @t51 () (tptp.sdtasasdt0 @t1 @t8)) % 7.71/7.92 (define @t52 () (tptp.sdtasdt0 @t16 @t8)) % 7.71/7.92 (define @t53 () (tptp.aElementOf0 @t52 @t1)) % 7.71/7.92 (define @t54 () (forall @t41 (=> @t18 @t53))) % 7.71/7.92 (define @t55 () (tptp.aElementOf0 @t17 @t1)) % 7.71/7.92 (define @t56 () (forall @t41 (=> @t39 @t55))) % 7.71/7.92 (define @t57 () (and @t56 @t54)) % 7.71/7.92 (define @t58 () (=> @t34 @t57)) % 7.71/7.92 (define @t59 () (forall @t35 @t58)) % 7.71/7.92 (define @t60 () (and @t33 @t59)) % 7.71/7.92 (define @t61 () (tptp.aIdeal0 @t1)) % 7.71/7.92 (define @t62 () (= @t61 @t60)) % 7.71/7.92 (define @t63 () (forall @t3 @t62)) % 7.71/7.92 (define @t64 () (and @t61 (tptp.aIdeal0 @t8))) % 7.71/7.92 (define @t65 () (tptp.aElement0 @t44)) % 7.71/7.92 (define @t66 () (@list @t16 @t44)) % 7.71/7.92 (define @t67 () (tptp.aNaturalNumber0 @t1)) % 7.71/7.92 (define @t68 () (tptp.sbrdtbr0 @t1)) % 7.71/7.92 (define @t69 () (not @t32)) % 7.71/7.92 (define @t70 () (tptp.slsdtgt0 @t1)) % 7.71/7.92 (define @t71 () (tptp.slsdtgt0 tptp.xb)) % 7.71/7.92 (define @t72 () (tptp.slsdtgt0 tptp.xa)) % 7.71/7.92 (define @t73 () (tptp.sdtpldt1 @t72 @t71)) % 7.71/7.92 (define @t74 () (tptp.aIdeal0 tptp.xI)) % 7.71/7.92 (define @t75 () (tptp.sbrdtbr0 tptp.xu)) % 7.71/7.92 (define @t76 () (tptp.aElementOf0 tptp.xu tptp.xI)) % 7.71/7.92 (define @t77 () (= tptp.xu (tptp.sdtpldt0 (tptp.sdtasdt0 tptp.xa @t1) (tptp.sdtasdt0 tptp.xb @t8)))) % 7.71/7.92 (define @t78 () (and @t2 @t10 @t77)) % 7.71/7.92 (define @t79 () (exists @t12 @t78)) % 7.71/7.92 (define @t80 () (= tptp.xr tptp.sz00)) % 7.71/7.92 (define @t81 () (tptp.sdtasdt0 tptp.xq tptp.xu)) % 7.71/7.92 (define @t82 () (tptp.aElement0 tptp.xq)) % 7.71/7.92 (define @t83 () (tptp.smndt0 @t81)) % 7.71/7.92 (define @t84 () (tptp.aElementOf0 @t83 tptp.xI)) % 7.71/7.92 (define @t85 () (@var "BOUND_VARIABLE_7996" $$unsorted)) % 7.71/7.92 (define @t86 () (tptp.sdtasdt0 @t85 @t8)) % 7.71/7.92 (define @t87 () (not (tptp.aElement0 @t85))) % 7.71/7.92 (define @t88 () (or @t87 (tptp.aElementOf0 @t86 @t1))) % 7.71/7.92 (define @t89 () (@var "BOUND_VARIABLE_7989" $$unsorted)) % 7.71/7.92 (define @t90 () (tptp.sdtpldt0 @t8 @t89)) % 7.71/7.92 (define @t91 () (or (not (tptp.aElementOf0 @t89 @t1)) (tptp.aElementOf0 @t90 @t1))) % 7.71/7.92 (define @t92 () (and @t91 @t88)) % 7.71/7.92 (define @t93 () (not @t34)) % 7.71/7.92 (define @t94 () (or @t93 @t92)) % 7.71/7.92 (define @t95 () (@list @t8 @t89 @t85)) % 7.71/7.92 (define @t96 () (@list @t89 @t85)) % 7.71/7.92 (define @t97 () (forall @t96 @t94)) % 7.71/7.92 (define @t98 () (forall (@list @t85) @t88)) % 7.71/7.92 (define @t99 () (@list @t16)) % 7.71/7.92 (define @t100 () (forall @t96 @t88)) % 7.71/7.92 (define @t101 () (forall (@list @t89) @t91)) % 7.71/7.92 (define @t102 () (forall @t96 @t91)) % 7.71/7.92 (define @t103 () (and @t102 @t100)) % 7.71/7.92 (define @t104 () (forall @t96 @t92)) % 7.71/7.92 (define @t105 () (or @t93 @t104)) % 7.71/7.92 (define @t106 () (not @t18)) % 7.71/7.92 (define @t107 () (and (forall @t41 (or (not @t39) @t55)) (forall @t41 (or @t106 @t53)))) % 7.71/7.92 (define @t108 () (forall @t95 (or (not (tptp.aElementOf0 @t8 tptp.xI)) (and (or (not (tptp.aElementOf0 @t89 tptp.xI)) (tptp.aElementOf0 @t90 tptp.xI)) (or @t87 (tptp.aElementOf0 @t86 tptp.xI)))))) % 7.71/7.92 (define @t109 () (tptp.aSet0 tptp.xI)) % 7.71/7.92 (define @t110 () (and @t109 @t108)) % 7.71/7.92 (define @t111 () (= @t74 @t110)) % 7.71/7.92 (define @t112 () (@list false false)) % 7.71/7.92 (define @t113 () (not @t110)) % 7.71/7.92 (define @t114 () (@list false)) % 7.71/7.92 (define @t115 () (@list @t110)) % 7.71/7.92 (define @t116 () (tptp.sdtasdt0 tptp.xq @t25)) % 7.71/7.92 (define @t117 () (tptp.smndt0 tptp.xu)) % 7.71/7.92 (define @t118 () (tptp.aElementOf0 (tptp.sdtasdt0 @t116 tptp.xu) tptp.xI)) % 7.71/7.92 (define @t119 () (tptp.aElement0 @t116)) % 7.71/7.92 (define @t120 () (not @t119)) % 7.71/7.92 (define @t121 () (or @t120 @t118)) % 7.71/7.92 (define @t122 () (and (or (not (tptp.aElementOf0 @t117 tptp.xI)) (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xu @t117) tptp.xI)) @t121)) % 7.71/7.92 (define @t123 () (not @t76)) % 7.71/7.92 (define @t124 () (or @t123 @t122)) % 7.71/7.92 (define @t125 () (not @t10)) % 7.71/7.92 (define @t126 () (not @t2)) % 7.71/7.92 (define @t127 () (tptp.aElement0 @t25)) % 7.71/7.92 (define @t128 () (not @t4)) % 7.71/7.92 (define @t129 () (or @t128 @t127)) % 7.71/7.92 (define @t130 () (not @t127)) % 7.71/7.92 (define @t131 () (not @t82)) % 7.71/7.92 (define @t132 () (or @t131 @t130 @t119)) % 7.71/7.92 (define @t133 () (@list false false false)) % 7.71/7.92 (define @t134 () (not @t77)) % 7.71/7.92 (define @t135 () (or @t126 @t125 @t134)) % 7.71/7.92 (define @t136 () (forall @t12 (not @t78))) % 7.71/7.92 (define @t137 () (not @t136)) % 7.71/7.92 (define @t138 () (forall @t12 @t135)) % 7.71/7.92 (define @t139 () (@quantifiers_skolemize @t138 1)) % 7.71/7.92 (define @t140 () (@quantifiers_skolemize @t138 0)) % 7.71/7.92 (define @t141 () (tptp.sdtpldt0 (tptp.sdtasdt0 tptp.xa @t140) (tptp.sdtasdt0 tptp.xb @t139))) % 7.71/7.92 (define @t142 () (= tptp.xu @t141)) % 7.71/7.92 (define @t143 () (not @t142)) % 7.71/7.92 (define @t144 () (or (not (tptp.aElement0 @t140)) (not (tptp.aElement0 @t139)) @t143)) % 7.71/7.92 (define @t145 () (and (= @t5 @t27) @t26)) % 7.71/7.92 (define @t146 () (tptp.smndt0 tptp.xq)) % 7.71/7.92 (define @t147 () (= @t146 @t116)) % 7.71/7.92 (define @t148 () (tptp.sdtasdt0 @t25 tptp.xq)) % 7.71/7.92 (define @t149 () (= @t146 @t148)) % 7.71/7.92 (define @t150 () (and @t149 @t147)) % 7.71/7.92 (define @t151 () (or @t131 @t150)) % 7.71/7.92 (define @t152 () (not @t150)) % 7.71/7.92 (define @t153 () (@list @t150)) % 7.71/7.92 (define @t154 () (tptp.sdtasdt0 @t148 tptp.xu)) % 7.71/7.92 (define @t155 () (or @t126 @t125 @t106 @t22)) % 7.71/7.92 (define @t156 () (or @t126 @t125 @t106)) % 7.71/7.92 (define @t157 () (tptp.sdtasdt0 @t25 @t81)) % 7.71/7.92 (define @t158 () (tptp.aElement0 tptp.xu)) % 7.71/7.92 (define @t159 () (not @t158)) % 7.71/7.92 (define @t160 () (or @t130 @t131 @t159 (= @t154 @t157))) % 7.71/7.92 (define @t161 () (forall @t20 @t155)) % 7.71/7.92 (define @t162 () (= @t157 @t154)) % 7.71/7.92 (define @t163 () (or @t130 @t131 @t159 @t162)) % 7.71/7.92 (define @t164 () (@var "BOUND_VARIABLE_7884" $$unsorted)) % 7.71/7.92 (define @t165 () (tptp.aElement0 @t164)) % 7.71/7.92 (define @t166 () (not (tptp.aElementOf0 @t164 @t1))) % 7.71/7.92 (define @t167 () (not @t33)) % 7.71/7.92 (define @t168 () (or @t166 @t165)) % 7.71/7.92 (define @t169 () (or @t167 @t168)) % 7.71/7.92 (define @t170 () (forall (@list @t1 @t164) @t169)) % 7.71/7.92 (define @t171 () (@list @t164)) % 7.71/7.92 (define @t172 () (forall @t171 @t169)) % 7.71/7.92 (define @t173 () (forall @t171 @t168)) % 7.71/7.92 (define @t174 () (or @t167 @t173)) % 7.71/7.92 (define @t175 () (forall @t35 (or @t93 @t10))) % 7.71/7.92 (define @t176 () (not @t109)) % 7.71/7.92 (define @t177 () (or @t176 @t123 @t158)) % 7.71/7.92 (define @t178 () (tptp.aElement0 @t81)) % 7.71/7.92 (define @t179 () (or @t131 @t159 @t178)) % 7.71/7.92 (define @t180 () (= @t83 @t157)) % 7.71/7.92 (define @t181 () (and @t180 (= @t83 (tptp.sdtasdt0 @t81 @t25)))) % 7.71/7.92 (define @t182 () (not @t178)) % 7.71/7.92 (define @t183 () (or @t182 @t181)) % 7.71/7.92 (assume @p1 (forall @t3 (=> @t2 true))) % 7.71/7.92 (assume @p2 (tptp.aElement0 tptp.sz00)) % 7.71/7.92 (assume @p3 @t4) % 7.71/7.92 (assume @p4 @t7) % 7.71/7.92 (assume @p5 (forall @t12 (=> @t11 (tptp.aElement0 @t9)))) % 7.71/7.92 (assume @p6 @t15) % 7.71/7.92 (assume @p7 (forall @t12 (=> @t11 (= @t9 (tptp.sdtpldt0 @t8 @t1))))) % 7.71/7.92 (assume @p8 (forall @t20 (=> @t19 (= (tptp.sdtpldt0 @t9 @t16) (tptp.sdtpldt0 @t1 @t17))))) % 7.71/7.92 (assume @p9 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 7.71/7.92 (assume @p10 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 @t5) tptp.sz00) (= tptp.sz00 (tptp.sdtpldt0 @t5 @t1)))))) % 7.71/7.92 (assume @p11 (forall @t12 (=> @t11 (= @t13 @t21)))) % 7.71/7.92 (assume @p12 @t23) % 7.71/7.92 (assume @p13 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 7.71/7.92 (assume @p14 (forall @t20 (=> @t19 (and (= (tptp.sdtasdt0 @t1 @t17) (tptp.sdtpldt0 @t13 @t24)) (= (tptp.sdtasdt0 @t17 @t1) (tptp.sdtpldt0 @t21 (tptp.sdtasdt0 @t16 @t1))))))) % 7.71/7.92 (assume @p15 @t30) % 7.71/7.92 (assume @p16 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 7.71/7.92 (assume @p17 (forall @t12 (=> @t11 (=> (= @t13 tptp.sz00) (or @t32 @t31))))) % 7.71/7.92 (assume @p18 (not (= tptp.sz10 tptp.sz00))) % 7.71/7.92 (assume @p19 (forall @t3 (=> @t33 true))) % 7.71/7.92 (assume @p20 @t38) % 7.71/7.92 (assume @p21 (forall @t12 (=> @t43 (=> (and (forall @t41 (=> @t39 @t40)) (forall @t41 (=> @t40 @t39))) (= @t1 @t8))))) % 7.71/7.92 (assume @p22 (forall @t12 (=> @t43 (forall @t41 (= (= @t16 @t50) (and @t49 (forall @t48 (= @t47 (exists (@list @t46 @t45) (and (tptp.aElementOf0 @t46 @t1) (tptp.aElementOf0 @t45 @t8) (= (tptp.sdtpldt0 @t46 @t45) @t44))))))))))) % 7.71/7.92 (assume @p23 (forall @t12 (=> @t43 (forall @t41 (= (= @t16 @t51) (and @t49 (forall @t48 (= @t47 (and (tptp.aElementOf0 @t44 @t1) (tptp.aElementOf0 @t44 @t8)))))))))) % 7.71/7.92 (assume @p24 @t63) % 7.71/7.92 (assume @p25 (forall @t12 (=> @t64 (tptp.aIdeal0 @t50)))) % 7.71/7.92 (assume @p26 (forall @t12 (=> @t64 (tptp.aIdeal0 @t51)))) % 7.71/7.92 (assume @p27 (forall @t20 (=> (and @t2 @t10 (tptp.aIdeal0 @t16)) (= (tptp.sdteqdtlpzmzozddtrp0 @t1 @t8 @t16) (tptp.aElementOf0 (tptp.sdtpldt0 @t1 (tptp.smndt0 @t8)) @t16))))) % 7.71/7.92 (assume @p28 (forall @t12 (=> @t64 (=> (forall @t41 (=> @t18 (tptp.aElementOf0 @t16 @t50))) (forall @t66 (=> (and @t18 @t65) (exists (@list @t46) (and (tptp.aElement0 @t46) (tptp.sdteqdtlpzmzozddtrp0 @t46 @t16 @t1) (tptp.sdteqdtlpzmzozddtrp0 @t46 @t44 @t8))))))))) % 7.71/7.92 (assume @p29 (forall @t3 (=> @t67 true))) % 7.71/7.92 (assume @p30 (forall @t3 (=> (and @t2 @t69) (tptp.aNaturalNumber0 @t68)))) % 7.71/7.92 (assume @p31 (forall @t12 (=> (and @t67 (tptp.aNaturalNumber0 @t8)) (=> (tptp.iLess0 @t1 @t8) true)))) % 7.71/7.92 (assume @p32 (forall @t12 (=> (and @t2 @t10 (not @t31)) (exists @t66 (and @t18 @t65 (= @t1 (tptp.sdtpldt0 @t52 @t44)) (=> (not (= @t44 tptp.sz00)) (tptp.iLess0 (tptp.sbrdtbr0 @t44) (tptp.sbrdtbr0 @t8)))))))) % 7.71/7.92 (assume @p33 (forall @t12 (=> @t11 (= (tptp.doDivides0 @t1 @t8) (exists @t41 (and @t18 (= @t24 @t8))))))) % 7.71/7.92 (assume @p34 (forall @t3 (=> @t2 (forall @t35 (= (tptp.aDivisorOf0 @t8 @t1) (and @t10 (tptp.doDivides0 @t8 @t1))))))) % 7.71/7.92 (assume @p35 (forall @t12 (=> @t11 (forall @t41 (= (tptp.aGcdOfAnd0 @t16 @t1 @t8) (and (tptp.aDivisorOf0 @t16 @t1) (tptp.aDivisorOf0 @t16 @t8) (forall @t48 (=> (and (tptp.aDivisorOf0 @t44 @t1) (tptp.aDivisorOf0 @t44 @t8)) (tptp.doDivides0 @t44 @t16))))))))) % 7.71/7.92 (assume @p36 (forall @t12 (=> @t11 (= (tptp.misRelativelyPrime0 @t1 @t8) (tptp.aGcdOfAnd0 tptp.sz10 @t1 @t8))))) % 7.71/7.92 (assume @p37 (forall @t3 (=> @t2 (forall @t35 (= (= @t8 @t70) (and @t42 (forall @t41 (= @t40 (exists @t48 (and @t65 (= (tptp.sdtasdt0 @t1 @t44) @t16))))))))))) % 7.71/7.92 (assume @p38 (forall @t3 (=> @t2 (tptp.aIdeal0 @t70)))) % 7.71/7.92 (assume @p39 (and (tptp.aElement0 tptp.xa) (tptp.aElement0 tptp.xb))) % 7.71/7.92 (assume @p40 (or (not (= tptp.xa tptp.sz00)) (not (= tptp.xb tptp.sz00)))) % 7.71/7.92 (assume @p41 (tptp.aGcdOfAnd0 tptp.xc tptp.xa tptp.xb)) % 7.71/7.92 (assume @p42 (and @t74 (= tptp.xI @t73))) % 7.71/7.92 (assume @p43 (and (tptp.aElementOf0 tptp.sz00 @t72) (tptp.aElementOf0 tptp.xa @t72) (tptp.aElementOf0 tptp.sz00 @t71) (tptp.aElementOf0 tptp.xb @t71))) % 7.71/7.92 (assume @p44 (exists @t3 (and (tptp.aElementOf0 @t1 @t73) @t69))) % 7.71/7.92 (assume @p45 (and @t76 (not (= tptp.xu tptp.sz00)) (forall @t3 (=> (and (tptp.aElementOf0 @t1 tptp.xI) @t69) (not (tptp.iLess0 @t68 @t75)))))) % 7.71/7.92 (assume @p46 (not (and (tptp.aDivisorOf0 tptp.xu tptp.xa) (tptp.aDivisorOf0 tptp.xu tptp.xb)))) % 7.71/7.92 (assume @p47 @t79) % 7.71/7.92 (assume @p48 (not (not (tptp.doDivides0 tptp.xu tptp.xa)))) % 7.71/7.92 (assume @p49 (not (tptp.doDivides0 tptp.xu tptp.xb))) % 7.71/7.92 (assume @p50 (and @t82 (tptp.aElement0 tptp.xr) (= tptp.xb (tptp.sdtpldt0 @t81 tptp.xr)) (or @t80 (tptp.iLess0 (tptp.sbrdtbr0 tptp.xr) @t75)))) % 7.71/7.92 (assume @p51 (not @t80)) % 7.71/7.92 (assume @p52 (not @t84)) % 7.71/7.92 (assume @p53 true) % 7.71/7.92 (step @p54 :rule evaluate :args ((= false true))) % 7.71/7.92 (step @p55 :rule quant-merge-prenex :args ((= (forall @t35 @t97) (forall @t95 @t94)))) % 7.71/7.92 (step @p56 :rule alpha_equiv :args (@t98 (@list @t85) @t99)) % 7.71/7.92 (step @p57 :rule quant-unused-vars :args ((= @t100 @t98))) % 7.71/7.92 (step @p58 :rule trans :premises (@p57 @p56)) % 7.71/7.92 (step @p59 :rule alpha_equiv :args (@t101 (@list @t89) @t99)) % 7.71/7.92 (step @p60 :rule quant-unused-vars :args ((= @t102 @t101))) % 7.71/7.92 (step @p61 :rule trans :premises (@p60 @p59)) % 7.71/7.92 (step @p62 :rule nary_cong :premises (@p61 @p58) :args (@t103)) % 7.71/7.92 (step @p63 :rule quant-miniscope-and :args ((= @t104 @t103))) % 7.71/7.92 (step @p64 :rule trans :premises (@p63 @p62)) % 7.71/7.92 (step @p65 :rule refl :args (@t93)) % 7.71/7.92 (step @p66 :rule nary_cong :premises (@p65 @p64) :args (@t105)) % 7.71/7.92 (step @p67 :rule quant-miniscope-or :args ((= @t97 @t105))) % 7.71/7.92 (step @p68 :rule trans :premises (@p67 @p66)) % 7.71/7.92 (step @p69 :rule symm :premises (@p68)) % 7.71/7.92 (step @p70 :rule cong :premises (@p69) :args ((forall @t35 (or @t93 @t107)))) % 7.71/7.92 (step @p71 :rule trans :premises (@p70 @p55)) % 7.71/7.92 (step @p72 :rule bool-impl-elim :args (@t34 @t107)) % 7.71/7.92 (step @p73 :rule cong :premises (@p72) :args ((forall @t35 (=> @t34 @t107)))) % 7.71/7.92 (step @p74 :rule trans :premises (@p73 @p71)) % 7.71/7.92 (step @p75 :rule bool-impl-elim :args (@t18 @t53)) % 7.71/7.92 (step @p76 :rule cong :premises (@p75) :args (@t54)) % 7.71/7.92 (step @p77 :rule bool-impl-elim :args (@t39 @t55)) % 7.71/7.92 (step @p78 :rule cong :premises (@p77) :args (@t56)) % 7.71/7.92 (step @p79 :rule nary_cong :premises (@p78 @p76) :args (@t57)) % 7.71/7.92 (step @p80 :rule refl :args (@t34)) % 7.71/7.92 (step @p81 :rule cong :premises (@p80 @p79) :args (@t58)) % 7.71/7.92 (step @p82 :rule cong :premises (@p81) :args (@t59)) % 7.71/7.92 (step @p83 :rule trans :premises (@p82 @p74)) % 7.71/7.92 (step @p84 :rule refl :args (@t33)) % 7.71/7.92 (step @p85 :rule nary_cong :premises (@p84 @p83) :args (@t60)) % 7.71/7.92 (step @p86 :rule refl :args (@t61)) % 7.71/7.92 (step @p87 :rule cong :premises (@p86 @p85) :args (@t62)) % 7.71/7.92 (step @p88 :rule cong :premises (@p87) :args (@t63)) % 7.71/7.92 (step @p89 :rule eq_resolve :premises (@p24 @p88)) % 7.71/7.92 (step @p90 :rule instantiate :premises (@p89) :args ((@list tptp.xI))) % 7.71/7.92 (step @p91 :rule and_elim :premises (@p42) :args (0)) % 7.71/7.92 (step @p92 :rule cnf_equiv_pos1 :args (@t111)) % 7.71/7.92 (step @p93 :rule reordering :premises (@p92) :args ((or (not @t74) @t110 (not @t111)))) % 7.71/7.92 (step @p94 :rule chain_m_resolution :premises (@p93 @p91 @p90) :args (@t110 @t112 (@list @t74 @t111))) % 7.71/7.92 (step @p95 :rule cnf_and_pos :args (@t110 1)) % 7.71/7.92 (step @p96 :rule reordering :premises (@p95) :args ((or @t108 @t113))) % 7.71/7.92 (step @p97 :rule chain_m_resolution :premises (@p96 @p94) :args (@t108 @t114 @t115)) % 7.71/7.92 (step @p98 :rule instantiate :premises (@p97) :args ((@list tptp.xu @t117 @t116))) % 7.71/7.92 (step @p99 :rule and_elim :premises (@p45) :args (0)) % 7.71/7.92 (step @p100 :rule cnf_or_pos :args (@t124)) % 7.71/7.92 (step @p101 :rule reordering :premises (@p100) :args ((or @t123 @t122 (not @t124)))) % 7.71/7.92 (step @p102 :rule chain_m_resolution :premises (@p101 @p99 @p98) :args (@t122 @t112 (@list @t76 @t124))) % 7.71/7.92 (step @p103 :rule cnf_and_pos :args (@t122 1)) % 7.71/7.92 (step @p104 :rule reordering :premises (@p103) :args ((or @t121 (not @t122)))) % 7.71/7.92 (step @p105 :rule chain_m_resolution :premises (@p104 @p102) :args (@t121 @t114 (@list @t122))) % 7.71/7.92 (step @p106 :rule aci_norm :args ((= (or (or @t126 @t125) @t14) (or @t126 @t125 @t14)))) % 7.71/7.92 (step @p107 :rule refl :args (@t14)) % 7.71/7.92 (step @p108 :rule bool-and-de-morgan :args (@t2 @t10 true)) % 7.71/7.92 (step @p109 :rule nary_cong :premises (@p108 @p107) :args ((or (not @t11) @t14))) % 7.71/7.92 (step @p110 :rule trans :premises (@p109 @p106)) % 7.71/7.92 (step @p111 :rule bool-impl-elim :args (@t11 @t14)) % 7.71/7.92 (step @p112 :rule trans :premises (@p111 @p110)) % 7.71/7.92 (step @p113 :rule cong :premises (@p112) :args (@t15)) % 7.71/7.92 (step @p114 :rule eq_resolve :premises (@p6 @p113)) % 7.71/7.92 (step @p115 :rule instantiate :premises (@p114) :args ((@list tptp.xq @t25))) % 7.71/7.92 (step @p116 :rule bool-impl-elim :args (@t2 @t6)) % 7.71/7.92 (step @p117 :rule cong :premises (@p116) :args (@t7)) % 7.71/7.92 (step @p118 :rule eq_resolve :premises (@p4 @p117)) % 7.71/7.92 (step @p119 :rule instantiate :premises (@p118) :args ((@list tptp.sz10))) % 7.71/7.92 (step @p120 :rule cnf_or_pos :args (@t129)) % 7.71/7.92 (step @p121 :rule reordering :premises (@p120) :args ((or @t128 @t127 (not @t129)))) % 7.71/7.92 (step @p122 :rule chain_m_resolution :premises (@p121 @p3 @p119) :args (@t127 @t112 (@list @t4 @t129))) % 7.71/7.92 (step @p123 :rule and_elim :premises (@p50) :args (0)) % 7.71/7.92 (step @p124 :rule cnf_or_pos :args (@t132)) % 7.71/7.92 (step @p125 :rule reordering :premises (@p124) :args ((or @t131 @t130 @t119 (not @t132)))) % 7.71/7.92 (step @p126 :rule chain_m_resolution :premises (@p125 @p123 @p122 @p115) :args (@t119 @t133 (@list @t82 @t127 @t132))) % 7.71/7.92 (step @p127 :rule cnf_or_pos :args (@t121)) % 7.71/7.92 (step @p128 :rule reordering :premises (@p127) :args ((or @t120 @t118 (not @t121)))) % 7.71/7.92 (step @p129 :rule chain_m_resolution :premises (@p128 @p126 @p105) :args (@t118 @t112 (@list @t119 @t121))) % 7.71/7.92 (step @p130 :rule true_intro :premises (@p129)) % 7.71/7.92 (step @p131 :rule and_elim :premises (@p42) :args (1)) % 7.71/7.92 (step @p132 :rule symm :premises (@p131)) % 7.71/7.92 (step @p133 :rule aci_norm :args ((= (or @t126 (or @t125 @t134)) @t135))) % 7.71/7.92 (step @p134 :rule bool-and-de-morgan :args (@t10 @t77 true)) % 7.71/7.92 (step @p135 :rule refl :args (@t126)) % 7.71/7.92 (step @p136 :rule nary_cong :premises (@p135 @p134) :args ((or @t126 (not (and @t10 @t77))))) % 7.71/7.92 (step @p137 :rule bool-and-de-morgan :args (@t2 @t10 (and @t77))) % 7.71/7.92 (step @p138 :rule trans :premises (@p137 @p136)) % 7.71/7.92 (step @p139 :rule trans :premises (@p138 @p133)) % 7.71/7.92 (step @p140 :rule cong :premises (@p139) :args (@t136)) % 7.71/7.92 (step @p141 :rule cong :premises (@p140) :args (@t137)) % 7.71/7.92 (step @p142 :rule exists-elim :args ((= @t79 @t137))) % 7.71/7.92 (step @p143 :rule trans :premises (@p142 @p141)) % 7.71/7.92 (step @p144 :rule eq_resolve :premises (@p47 @p143)) % 7.71/7.92 (step @p145 :rule skolemize :premises (@p144)) % 7.71/7.92 (step @p146 :rule bool-double-not-elim :args (@t142)) % 7.71/7.92 (step @p147 :rule refl :args (@t144)) % 7.71/7.92 (step @p148 :rule nary_cong :premises (@p147 @p146) :args ((or @t144 (not @t143)))) % 7.71/7.92 (step @p149 :rule cnf_or_neg :args (@t144 2)) % 7.71/7.92 (step @p150 :rule eq_resolve :premises (@p149 @p148)) % 7.71/7.92 (step @p151 :rule reordering :premises (@p150) :args ((or @t142 @t144))) % 7.71/7.92 (step @p152 :rule chain_m_resolution :premises (@p151 @p145) :args (@t142 (@list true) (@list @t144))) % 7.71/7.92 (step @p153 :rule symm :premises (@p152)) % 7.71/7.92 (step @p154 :rule refl :args (@t116)) % 7.71/7.92 (step @p155 :rule cong :premises (@p154 @p153) :args ((tptp.sdtasdt0 @t116 @t141))) % 7.71/7.92 (step @p156 :rule bool-impl-elim :args (@t2 @t145)) % 7.71/7.92 (step @p157 :rule cong :premises (@p156) :args ((forall @t3 (=> @t2 @t145)))) % 7.71/7.92 (step @p158 :rule refl :args (@t26)) % 7.71/7.92 (step @p159 :rule eq-symm :args (@t27 @t5)) % 7.71/7.92 (step @p160 :rule nary_cong :premises (@p159 @p158) :args (@t28)) % 7.71/7.92 (step @p161 :rule refl :args (@t2)) % 7.71/7.92 (step @p162 :rule cong :premises (@p161 @p160) :args (@t29)) % 7.71/7.92 (step @p163 :rule cong :premises (@p162) :args (@t30)) % 7.71/7.92 (step @p164 :rule trans :premises (@p163 @p157)) % 7.71/7.92 (step @p165 :rule eq_resolve :premises (@p15 @p164)) % 7.71/7.92 (step @p166 :rule instantiate :premises (@p165) :args ((@list tptp.xq))) % 7.71/7.92 (step @p167 :rule cnf_or_pos :args (@t151)) % 7.71/7.92 (step @p168 :rule reordering :premises (@p167) :args ((or @t131 @t150 (not @t151)))) % 7.71/7.92 (step @p169 :rule chain_m_resolution :premises (@p168 @p123 @p166) :args (@t150 @t112 (@list @t82 @t151))) % 7.71/7.92 (step @p170 :rule cnf_and_pos :args (@t150 1)) % 7.71/7.92 (step @p171 :rule reordering :premises (@p170) :args ((or @t147 @t152))) % 7.71/7.92 (step @p172 :rule chain_m_resolution :premises (@p171 @p169) :args (@t147 @t114 @t153)) % 7.71/7.92 (step @p173 :rule cnf_and_pos :args (@t150 0)) % 7.71/7.92 (step @p174 :rule reordering :premises (@p173) :args ((or @t149 @t152))) % 7.71/7.92 (step @p175 :rule chain_m_resolution :premises (@p174 @p169) :args (@t149 @t114 @t153)) % 7.71/7.92 (step @p176 :rule symm :premises (@p175)) % 7.71/7.92 (step @p177 :rule trans :premises (@p176 @p172)) % 7.71/7.92 (step @p178 :rule cong :premises (@p177 @p152) :args (@t154)) % 7.71/7.92 (step @p179 :rule aci_norm :args ((= (or @t156 @t22) @t155))) % 7.71/7.92 (step @p180 :rule refl :args (@t22)) % 7.71/7.92 (step @p181 :rule aci_norm :args ((= (or @t126 (or @t125 @t106)) @t156))) % 7.71/7.92 (step @p182 :rule bool-and-de-morgan :args (@t10 @t18 true)) % 7.71/7.92 (step @p183 :rule nary_cong :premises (@p135 @p182) :args ((or @t126 (not (and @t10 @t18))))) % 7.71/7.92 (step @p184 :rule bool-and-de-morgan :args (@t2 @t10 (and @t18))) % 7.71/7.92 (step @p185 :rule trans :premises (@p184 @p183)) % 7.71/7.92 (step @p186 :rule trans :premises (@p185 @p181)) % 7.71/7.92 (step @p187 :rule nary_cong :premises (@p186 @p180) :args ((or (not @t19) @t22))) % 7.71/7.92 (step @p188 :rule trans :premises (@p187 @p179)) % 7.71/7.92 (step @p189 :rule bool-impl-elim :args (@t19 @t22)) % 7.71/7.92 (step @p190 :rule trans :premises (@p189 @p188)) % 7.71/7.92 (step @p191 :rule cong :premises (@p190) :args (@t23)) % 7.71/7.92 (step @p192 :rule eq_resolve :premises (@p12 @p191)) % 7.71/7.92 (step @p193 :rule eq-symm :args (@t154 @t157)) % 7.71/7.92 (step @p194 :rule refl :args (@t159)) % 7.71/7.92 (step @p195 :rule refl :args (@t131)) % 7.71/7.92 (step @p196 :rule refl :args (@t130)) % 7.71/7.92 (step @p197 :rule nary_cong :premises (@p196 @p195 @p194 @p193) :args (@t160)) % 7.71/7.92 (step @p198 :rule refl :args (@t161)) % 7.71/7.92 (step @p199 :rule cong :premises (@p198 @p197) :args ((=> @t161 @t160))) % 7.71/7.92 (assume-push @p257 @t161) % 7.71/7.92 (step @p201 :rule instantiate :premises (@p192) :args ((@list @t25 tptp.xq tptp.xu))) % 7.71/7.92 (step-pop @p258 :rule scope :premises (@p201)) % 7.71/7.92 (step @p202 :rule process_scope :premises (@p258) :args (@t160)) % 7.71/7.92 (step @p204 :rule eq_resolve :premises (@p202 @p199)) % 7.71/7.92 (step @p205 :rule implies_elim :premises (@p204)) % 7.71/7.92 (step @p206 :rule chain_m_resolution :premises (@p205 @p192) :args (@t163 @t114 (@list @t161))) % 7.71/7.92 (step @p207 :rule aci_norm :args ((= @t169 (or @t167 @t166 @t165)))) % 7.71/7.92 (step @p208 :rule cong :premises (@p207) :args (@t170)) % 7.71/7.92 (step @p209 :rule quant-merge-prenex :args ((= (forall @t3 @t172) @t170))) % 7.71/7.92 (step @p210 :rule alpha_equiv :args (@t173 (@list @t164) (@list @t8))) % 7.71/7.92 (step @p211 :rule refl :args (@t167)) % 7.71/7.92 (step @p212 :rule nary_cong :premises (@p211 @p210) :args (@t174)) % 7.71/7.92 (step @p213 :rule quant-miniscope-or :args ((= @t172 @t174))) % 7.71/7.92 (step @p214 :rule trans :premises (@p213 @p212)) % 7.71/7.92 (step @p215 :rule symm :premises (@p214)) % 7.71/7.92 (step @p216 :rule cong :premises (@p215) :args ((forall @t3 (or @t167 @t175)))) % 7.71/7.92 (step @p217 :rule trans :premises (@p216 @p209)) % 7.71/7.92 (step @p218 :rule trans :premises (@p217 @p208)) % 7.71/7.92 (step @p219 :rule bool-impl-elim :args (@t33 @t175)) % 7.71/7.92 (step @p220 :rule cong :premises (@p219) :args ((forall @t3 (=> @t33 @t175)))) % 7.71/7.92 (step @p221 :rule trans :premises (@p220 @p218)) % 7.71/7.92 (step @p222 :rule bool-impl-elim :args (@t34 @t10)) % 7.71/7.92 (step @p223 :rule cong :premises (@p222) :args (@t36)) % 7.71/7.92 (step @p224 :rule cong :premises (@p84 @p223) :args (@t37)) % 7.71/7.92 (step @p225 :rule cong :premises (@p224) :args (@t38)) % 7.71/7.92 (step @p226 :rule trans :premises (@p225 @p221)) % 7.71/7.92 (step @p227 :rule eq_resolve :premises (@p20 @p226)) % 7.71/7.92 (step @p228 :rule instantiate :premises (@p227) :args ((@list tptp.xI tptp.xu))) % 7.71/7.92 (step @p229 :rule cnf_and_pos :args (@t110 0)) % 7.71/7.92 (step @p230 :rule reordering :premises (@p229) :args ((or @t109 @t113))) % 7.71/7.96 (step @p231 :rule chain_m_resolution :premises (@p230 @p94) :args (@t109 @t114 @t115)) % 7.71/7.96 (step @p232 :rule cnf_or_pos :args (@t177)) % 7.71/7.96 (step @p233 :rule reordering :premises (@p232) :args ((or @t123 @t158 @t176 (not @t177)))) % 7.71/7.96 (step @p234 :rule chain_m_resolution :premises (@p233 @p99 @p231 @p228) :args (@t158 @t133 (@list @t76 @t109 @t177))) % 7.71/7.96 (step @p235 :rule cnf_or_pos :args (@t163)) % 7.71/7.96 (step @p236 :rule reordering :premises (@p235) :args ((or @t131 @t159 @t130 @t162 (not @t163)))) % 7.71/7.96 (step @p237 :rule chain_m_resolution :premises (@p236 @p123 @p234 @p122 @p206) :args (@t162 (@list false false false false) (@list @t82 @t158 @t127 @t163))) % 7.71/7.96 (step @p238 :rule instantiate :premises (@p165) :args ((@list @t81))) % 7.71/7.96 (step @p239 :rule instantiate :premises (@p114) :args ((@list tptp.xq tptp.xu))) % 7.71/7.96 (step @p240 :rule cnf_or_pos :args (@t179)) % 7.71/7.96 (step @p241 :rule reordering :premises (@p240) :args ((or @t131 @t178 @t159 (not @t179)))) % 7.71/7.96 (step @p242 :rule chain_m_resolution :premises (@p241 @p123 @p234 @p239) :args (@t178 @t133 (@list @t82 @t158 @t179))) % 7.71/7.96 (step @p243 :rule cnf_or_pos :args (@t183)) % 7.71/7.96 (step @p244 :rule reordering :premises (@p243) :args ((or @t182 @t181 (not @t183)))) % 7.71/7.96 (step @p245 :rule chain_m_resolution :premises (@p244 @p242 @p238) :args (@t181 @t112 (@list @t178 @t183))) % 7.71/7.96 (step @p246 :rule cnf_and_pos :args (@t181 0)) % 7.71/7.96 (step @p247 :rule reordering :premises (@p246) :args ((or @t180 (not @t181)))) % 7.71/7.96 (step @p248 :rule chain_m_resolution :premises (@p247 @p245) :args (@t180 @t114 (@list @t181))) % 7.71/7.96 (step @p249 :rule trans :premises (@p248 @p237 @p178 @p155)) % 7.71/7.96 (step @p250 :rule cong :premises (@p249 @p132) :args ((tptp.aElementOf0 @t83 @t73))) % 7.71/7.96 (step @p251 :rule refl :args (@t83)) % 7.71/7.96 (step @p252 :rule cong :premises (@p251 @p131) :args (@t84)) % 7.71/7.96 (step @p253 :rule false_intro :premises (@p52)) % 7.71/7.96 (step @p254 :rule symm :premises (@p253)) % 7.71/7.96 (step @p255 :rule trans :premises (@p254 @p252 @p250 @p130)) % 7.71/7.96 (step @p256 false :rule eq_resolve :premises (@p255 @p54)) % 7.71/7.96 ) % 7.71/7.96 % SZS output end Proof % 7.71/7.96 % cvc5 exiting %------------------------------------------------------------------------------