%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM556+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 : n028.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 08:39:49 AM UTC 2026 % Result : Theorem 35.31s 35.57s % Output : Proof 35.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : NUM556+1 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n028.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Tue Jun 2 11:29:35 EDT 2026 % 0.15/0.33 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 35.31/35.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 35.31/35.57 --- Run --no-e-matching --full-saturate-quant at 6... % 35.31/35.57 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 35.31/35.57 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 35.31/35.57 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 35.31/35.57 % SZS status Theorem % 35.31/35.57 % SZS output start Proof % 35.31/35.57 ( % 35.31/35.57 (declare-sort $$unsorted 0) % 35.31/35.57 (declare-const tptp.xP $$unsorted) % 35.31/35.57 (declare-const tptp.xT $$unsorted) % 35.31/35.57 (declare-const tptp.xy $$unsorted) % 35.31/35.57 (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 35.31/35.57 (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted)) % 35.31/35.57 (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted)) % 35.31/35.57 (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted)) % 35.31/35.57 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 35.31/35.57 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 35.31/35.57 (declare-const tptp.xQ $$unsorted) % 35.31/35.57 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 35.31/35.57 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 35.31/35.57 (declare-const tptp.xS $$unsorted) % 35.31/35.57 (declare-const tptp.isFinite0 (-> $$unsorted Bool)) % 35.31/35.57 (declare-const tptp.xx $$unsorted) % 35.31/35.57 (declare-const tptp.isCountable0 (-> $$unsorted Bool)) % 35.31/35.57 (declare-const tptp.slcrc0 $$unsorted) % 35.31/35.57 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 35.31/35.57 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 35.31/35.57 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 35.31/35.57 (declare-const tptp.xk $$unsorted) % 35.31/35.57 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 35.31/35.57 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 35.31/35.57 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 35.31/35.57 (declare-const tptp.szNzAzT0 $$unsorted) % 35.31/35.57 (declare-const tptp.sz00 $$unsorted) % 35.31/35.57 (define @t1 () (@var "W0" $$unsorted)) % 35.31/35.57 (define @t2 () (tptp.aSet0 @t1)) % 35.31/35.57 (define @t3 () (@list @t1)) % 35.31/35.57 (define @t4 () (tptp.aElement0 @t1)) % 35.31/35.57 (define @t5 () (@var "W1" $$unsorted)) % 35.31/35.57 (define @t6 () (tptp.aElement0 @t5)) % 35.31/35.57 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 35.31/35.57 (define @t8 () (@list @t5)) % 35.31/35.57 (define @t9 () (forall @t8 (=> @t7 @t6))) % 35.31/35.57 (define @t10 () (=> @t2 @t9)) % 35.31/35.57 (define @t11 () (forall @t3 @t10)) % 35.31/35.57 (define @t12 () (tptp.isFinite0 @t1)) % 35.31/35.57 (define @t13 () (= @t1 tptp.slcrc0)) % 35.31/35.57 (define @t14 () (tptp.isCountable0 @t1)) % 35.31/35.57 (define @t15 () (not @t12)) % 35.31/35.57 (define @t16 () (and @t2 @t14)) % 35.31/35.57 (define @t17 () (not @t13)) % 35.31/35.57 (define @t18 () (@var "W2" $$unsorted)) % 35.31/35.57 (define @t19 () (tptp.aElementOf0 @t18 @t1)) % 35.31/35.57 (define @t20 () (tptp.aElementOf0 @t18 @t5)) % 35.31/35.57 (define @t21 () (@list @t18)) % 35.31/35.57 (define @t22 () (forall @t21 (=> @t20 @t19))) % 35.31/35.57 (define @t23 () (tptp.aSet0 @t5)) % 35.31/35.57 (define @t24 () (and @t23 @t22)) % 35.31/35.57 (define @t25 () (tptp.aSubsetOf0 @t5 @t1)) % 35.31/35.57 (define @t26 () (= @t25 @t24)) % 35.31/35.57 (define @t27 () (forall @t8 @t26)) % 35.31/35.57 (define @t28 () (=> @t2 @t27)) % 35.31/35.57 (define @t29 () (forall @t3 @t28)) % 35.31/35.57 (define @t30 () (tptp.isFinite0 @t5)) % 35.31/35.57 (define @t31 () (and @t2 @t12)) % 35.31/35.57 (define @t32 () (= @t1 @t5)) % 35.31/35.57 (define @t33 () (tptp.aSubsetOf0 @t1 @t5)) % 35.31/35.57 (define @t34 () (@list @t1 @t5)) % 35.31/35.57 (define @t35 () (tptp.aSet0 @t18)) % 35.31/35.57 (define @t36 () (@list @t1 @t5 @t18)) % 35.31/35.57 (define @t37 () (@var "W3" $$unsorted)) % 35.31/35.57 (define @t38 () (= @t37 @t5)) % 35.31/35.57 (define @t39 () (tptp.aElementOf0 @t37 @t1)) % 35.31/35.57 (define @t40 () (or @t39 @t38)) % 35.31/35.57 (define @t41 () (tptp.aElement0 @t37)) % 35.31/35.57 (define @t42 () (and @t41 @t40)) % 35.31/35.57 (define @t43 () (tptp.aElementOf0 @t37 @t18)) % 35.31/35.57 (define @t44 () (= @t43 @t42)) % 35.31/35.57 (define @t45 () (@list @t37)) % 35.31/35.57 (define @t46 () (forall @t45 @t44)) % 35.31/35.57 (define @t47 () (and @t35 @t46)) % 35.31/35.57 (define @t48 () (tptp.sdtpldt0 @t1 @t5)) % 35.31/35.57 (define @t49 () (= @t18 @t48)) % 35.31/35.57 (define @t50 () (= @t49 @t47)) % 35.31/35.57 (define @t51 () (forall @t21 @t50)) % 35.31/35.57 (define @t52 () (and @t2 @t6)) % 35.31/35.57 (define @t53 () (=> @t52 @t51)) % 35.31/35.57 (define @t54 () (forall @t34 @t53)) % 35.31/35.57 (define @t55 () (not @t38)) % 35.31/35.57 (define @t56 () (and @t41 @t39 @t55)) % 35.31/35.57 (define @t57 () (= @t43 @t56)) % 35.31/35.57 (define @t58 () (forall @t45 @t57)) % 35.31/35.57 (define @t59 () (and @t35 @t58)) % 35.31/35.57 (define @t60 () (tptp.sdtmndt0 @t1 @t5)) % 35.31/35.57 (define @t61 () (= @t18 @t60)) % 35.31/35.57 (define @t62 () (= @t61 @t59)) % 35.31/35.57 (define @t63 () (forall @t21 @t62)) % 35.31/35.57 (define @t64 () (=> @t52 @t63)) % 35.31/35.57 (define @t65 () (forall @t34 @t64)) % 35.31/35.57 (define @t66 () (tptp.sdtpldt0 @t5 @t1)) % 35.31/35.57 (define @t67 () (and @t23 (tptp.isCountable0 @t5))) % 35.31/35.57 (define @t68 () (tptp.sdtmndt0 @t5 @t1)) % 35.31/35.57 (define @t69 () (and @t23 @t30)) % 35.31/35.57 (define @t70 () (tptp.isFinite0 @t68)) % 35.31/35.57 (define @t71 () (forall @t8 (=> @t69 @t70))) % 35.31/35.57 (define @t72 () (=> @t4 @t71)) % 35.31/35.57 (define @t73 () (forall @t3 @t72)) % 35.31/35.57 (define @t74 () (tptp.szszuzczcdt0 @t1)) % 35.31/35.57 (define @t75 () (tptp.aElementOf0 @t1 tptp.szNzAzT0)) % 35.31/35.57 (define @t76 () (tptp.szszuzczcdt0 @t5)) % 35.31/35.57 (define @t77 () (tptp.aElementOf0 @t5 tptp.szNzAzT0)) % 35.31/35.57 (define @t78 () (and @t75 @t77)) % 35.31/35.57 (define @t79 () (tptp.sdtlseqdt0 @t1 @t5)) % 35.31/35.57 (define @t80 () (tptp.sdtlseqdt0 @t5 @t18)) % 35.31/35.57 (define @t81 () (tptp.aElementOf0 @t18 tptp.szNzAzT0)) % 35.31/35.57 (define @t82 () (tptp.sbrdtbr0 @t1)) % 35.31/35.57 (define @t83 () (tptp.szszuzczcdt0 @t82)) % 35.31/35.57 (define @t84 () (= (tptp.sbrdtbr0 @t48) @t83)) % 35.31/35.57 (define @t85 () (not @t7)) % 35.31/35.57 (define @t86 () (=> @t85 @t84)) % 35.31/35.57 (define @t87 () (forall @t8 (=> @t6 @t86))) % 35.31/35.57 (define @t88 () (=> @t31 @t87)) % 35.31/35.57 (define @t89 () (forall @t3 @t88)) % 35.31/35.57 (define @t90 () (and @t2 @t77)) % 35.31/35.57 (define @t91 () (tptp.szmzizndt0 @t1)) % 35.31/35.57 (define @t92 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0)) % 35.31/35.57 (define @t93 () (tptp.szmzizndt0 @t5)) % 35.31/35.57 (define @t94 () (tptp.slbdtrb0 @t1)) % 35.31/35.57 (define @t95 () (tptp.slbdtrb0 @t5)) % 35.31/35.57 (define @t96 () (tptp.sbrdtbr0 @t37)) % 35.31/35.57 (define @t97 () (tptp.aSubsetOf0 @t37 @t1)) % 35.31/35.57 (define @t98 () (and @t97 (= @t96 @t5))) % 35.31/35.57 (define @t99 () (= @t43 @t98)) % 35.31/35.57 (define @t100 () (forall @t45 @t99)) % 35.31/35.57 (define @t101 () (and @t35 @t100)) % 35.31/35.57 (define @t102 () (tptp.slbdtsldtrb0 @t1 @t5)) % 35.31/35.57 (define @t103 () (= @t18 @t102)) % 35.31/35.57 (define @t104 () (= @t103 @t101)) % 35.31/35.57 (define @t105 () (forall @t21 @t104)) % 35.31/35.57 (define @t106 () (=> @t90 @t105)) % 35.31/35.57 (define @t107 () (forall @t34 @t106)) % 35.31/35.57 (define @t108 () (tptp.aElementOf0 tptp.xk tptp.szNzAzT0)) % 35.31/35.57 (define @t109 () (tptp.aSet0 tptp.xS)) % 35.31/35.57 (define @t110 () (tptp.slbdtsldtrb0 tptp.xS tptp.xk)) % 35.31/35.57 (define @t111 () (tptp.aElementOf0 tptp.xx tptp.xS)) % 35.31/35.57 (define @t112 () (tptp.aElementOf0 tptp.xQ @t110)) % 35.31/35.57 (define @t113 () (tptp.sbrdtbr0 tptp.xQ)) % 35.31/35.57 (define @t114 () (tptp.isFinite0 tptp.xQ)) % 35.31/35.57 (define @t115 () (tptp.aSet0 tptp.xQ)) % 35.31/35.57 (define @t116 () (tptp.aElement0 tptp.xy)) % 35.31/35.57 (define @t117 () (tptp.sdtmndt0 tptp.xQ tptp.xy)) % 35.31/35.57 (define @t118 () (tptp.sdtpldt0 @t117 tptp.xx)) % 35.31/35.57 (define @t119 () (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t117))) % 35.31/35.57 (define @t120 () (tptp.aElementOf0 tptp.xx @t117)) % 35.31/35.57 (define @t121 () (tptp.sbrdtbr0 tptp.xP)) % 35.31/35.57 (define @t122 () (tptp.aSubsetOf0 tptp.xP tptp.xS)) % 35.31/35.57 (define @t123 () (and @t122 (= @t121 tptp.xk))) % 35.31/35.57 (define @t124 () (not @t123)) % 35.31/35.57 (define @t125 () (@var "BOUND_VARIABLE_8017" $$unsorted)) % 35.31/35.57 (define @t126 () (tptp.aElementOf0 @t37 @t125)) % 35.31/35.57 (define @t127 () (= @t5 @t37)) % 35.31/35.57 (define @t128 () (and @t41 @t39 (not @t127))) % 35.31/35.57 (define @t129 () (forall @t45 (= @t126 @t128))) % 35.31/35.57 (define @t130 () (tptp.aSet0 @t125)) % 35.31/35.57 (define @t131 () (and @t130 @t129)) % 35.31/35.57 (define @t132 () (= (= @t125 @t60) @t131)) % 35.31/35.57 (define @t133 () (not @t6)) % 35.31/35.57 (define @t134 () (not @t2)) % 35.31/35.57 (define @t135 () (or @t134 @t133 @t132)) % 35.31/35.57 (define @t136 () (@list @t1 @t5 @t125)) % 35.31/35.57 (define @t137 () (forall @t136 @t135)) % 35.31/35.57 (define @t138 () (@list @t125)) % 35.31/35.57 (define @t139 () (forall @t138 @t135)) % 35.31/35.57 (define @t140 () (forall @t138 @t132)) % 35.31/35.57 (define @t141 () (@list @t18)) % 35.31/35.57 (define @t142 () (or @t134 @t133 @t140)) % 35.31/35.57 (define @t143 () (forall @t21 (= @t61 (and @t35 (forall @t45 (= @t43 @t128)))))) % 35.31/35.57 (define @t144 () (or @t134 @t133 @t143)) % 35.31/35.57 (define @t145 () (or @t134 @t133)) % 35.31/35.57 (define @t146 () (not @t52)) % 35.31/35.57 (define @t147 () (tptp.aElementOf0 @t37 tptp.xQ)) % 35.31/35.57 (define @t148 () (and @t41 @t147 (not (= @t37 tptp.xy)))) % 35.31/35.57 (define @t149 () (tptp.aElementOf0 @t37 @t117)) % 35.31/35.57 (define @t150 () (forall @t45 (= @t149 @t148))) % 35.31/35.57 (define @t151 () (tptp.aSet0 @t117)) % 35.31/35.57 (define @t152 () (and @t151 @t150)) % 35.31/35.57 (define @t153 () (not (= tptp.xy @t37))) % 35.31/35.57 (define @t154 () (and @t41 @t147 @t153)) % 35.31/35.57 (define @t155 () (= @t154 @t149)) % 35.31/35.57 (define @t156 () (forall @t45 @t155)) % 35.31/35.57 (define @t157 () (and @t151 @t156)) % 35.31/35.57 (define @t158 () (= (= @t117 @t117) @t157)) % 35.31/35.57 (define @t159 () (not @t116)) % 35.31/35.57 (define @t160 () (not @t115)) % 35.31/35.57 (define @t161 () (or @t160 @t159 @t158)) % 35.31/35.57 (define @t162 () (forall @t136 (or @t134 @t133 (= (= @t60 @t125) (and @t130 (forall @t45 (= @t128 @t126))))))) % 35.31/35.57 (define @t163 () (or @t160 @t159 @t152)) % 35.31/35.57 (define @t164 () (@list false)) % 35.31/35.57 (define @t165 () (@list false false false)) % 35.31/35.57 (define @t166 () (not @t152)) % 35.31/35.57 (define @t167 () (@list @t152)) % 35.31/35.57 (define @t168 () (tptp.aElementOf0 @t18 tptp.xS)) % 35.31/35.57 (define @t169 () (forall @t21 (or (not (tptp.aElementOf0 @t18 @t118)) @t168))) % 35.31/35.57 (define @t170 () (@quantifiers_skolemize @t169 0)) % 35.31/35.57 (define @t171 () (not (= @t170 tptp.xy))) % 35.31/35.57 (define @t172 () (tptp.aElementOf0 @t170 tptp.xQ)) % 35.31/35.57 (define @t173 () (tptp.aElement0 @t170)) % 35.31/35.57 (define @t174 () (and @t173 @t172 @t171)) % 35.31/35.57 (define @t175 () (tptp.aElementOf0 @t170 @t117)) % 35.31/35.57 (define @t176 () (= @t175 @t174)) % 35.31/35.57 (define @t177 () (@list @t170)) % 35.31/35.57 (define @t178 () (and @t173 @t172 (not (= tptp.xy @t170)))) % 35.31/35.57 (define @t179 () (= @t175 @t178)) % 35.31/35.57 (define @t180 () (@var "BOUND_VARIABLE_7986" $$unsorted)) % 35.31/35.57 (define @t181 () (tptp.aElementOf0 @t37 @t180)) % 35.31/35.57 (define @t182 () (and @t41 (or @t39 @t127))) % 35.31/35.57 (define @t183 () (forall @t45 (= @t181 @t182))) % 35.31/35.57 (define @t184 () (tptp.aSet0 @t180)) % 35.31/35.57 (define @t185 () (and @t184 @t183)) % 35.31/35.57 (define @t186 () (= (= @t180 @t48) @t185)) % 35.31/35.57 (define @t187 () (or @t134 @t133 @t186)) % 35.31/35.57 (define @t188 () (@list @t1 @t5 @t180)) % 35.31/35.57 (define @t189 () (forall @t188 @t187)) % 35.31/35.57 (define @t190 () (@list @t180)) % 35.31/35.57 (define @t191 () (forall @t190 @t187)) % 35.31/35.57 (define @t192 () (forall @t190 @t186)) % 35.31/35.57 (define @t193 () (or @t134 @t133 @t192)) % 35.31/35.57 (define @t194 () (forall @t21 (= @t49 (and @t35 (forall @t45 (= @t43 @t182)))))) % 35.31/35.57 (define @t195 () (or @t134 @t133 @t194)) % 35.31/35.57 (define @t196 () (and @t41 (or @t149 (= @t37 tptp.xx)))) % 35.31/35.57 (define @t197 () (tptp.aElementOf0 @t37 @t118)) % 35.31/35.57 (define @t198 () (forall @t45 (= @t197 @t196))) % 35.31/35.57 (define @t199 () (tptp.aSet0 @t118)) % 35.31/35.57 (define @t200 () (and @t199 @t198)) % 35.31/35.57 (define @t201 () (or @t149 (= tptp.xx @t37))) % 35.31/35.57 (define @t202 () (and @t41 @t201)) % 35.31/35.57 (define @t203 () (= @t202 @t197)) % 35.31/35.57 (define @t204 () (forall @t45 @t203)) % 35.31/35.57 (define @t205 () (and @t199 @t204)) % 35.31/35.57 (define @t206 () (= (= @t118 @t118) @t205)) % 35.31/35.57 (define @t207 () (tptp.aElement0 tptp.xx)) % 35.31/35.57 (define @t208 () (not @t207)) % 35.31/35.57 (define @t209 () (not @t151)) % 35.31/35.57 (define @t210 () (or @t209 @t208 @t206)) % 35.31/35.57 (define @t211 () (forall @t188 (or @t134 @t133 (= (= @t48 @t180) (and @t184 (forall @t45 (= @t182 @t181))))))) % 35.31/35.57 (define @t212 () (or @t209 @t208 @t200)) % 35.31/35.57 (define @t213 () (@var "BOUND_VARIABLE_7864" $$unsorted)) % 35.31/35.57 (define @t214 () (tptp.aElement0 @t213)) % 35.31/35.57 (define @t215 () (not (tptp.aElementOf0 @t213 @t1))) % 35.31/35.57 (define @t216 () (or @t215 @t214)) % 35.31/35.57 (define @t217 () (or @t134 @t216)) % 35.31/35.57 (define @t218 () (forall (@list @t1 @t213) @t217)) % 35.31/35.57 (define @t219 () (@list @t213)) % 35.31/35.57 (define @t220 () (forall @t219 @t217)) % 35.31/35.57 (define @t221 () (forall @t219 @t216)) % 35.31/35.57 (define @t222 () (@list @t5)) % 35.31/35.57 (define @t223 () (or @t134 @t221)) % 35.31/35.57 (define @t224 () (forall @t8 (or @t85 @t6))) % 35.31/35.57 (define @t225 () (not @t111)) % 35.31/35.57 (define @t226 () (not @t109)) % 35.31/35.57 (define @t227 () (or @t226 @t225 @t207)) % 35.31/35.57 (define @t228 () (not @t200)) % 35.31/35.57 (define @t229 () (@list @t200)) % 35.31/35.57 (define @t230 () (or @t175 (= @t170 tptp.xx))) % 35.31/35.57 (define @t231 () (and @t173 @t230)) % 35.31/35.57 (define @t232 () (tptp.aElementOf0 @t170 @t118)) % 35.31/35.57 (define @t233 () (= @t232 @t231)) % 35.31/35.57 (define @t234 () (= tptp.xx @t170)) % 35.31/35.57 (define @t235 () (or @t175 @t234)) % 35.31/35.57 (define @t236 () (and @t173 @t235)) % 35.31/35.57 (define @t237 () (= @t232 @t236)) % 35.31/35.57 (define @t238 () (@var "BOUND_VARIABLE_7913" $$unsorted)) % 35.31/35.57 (define @t239 () (= (tptp.aSubsetOf0 @t238 @t1) (and (tptp.aSet0 @t238) (forall @t21 (or (not (tptp.aElementOf0 @t18 @t238)) @t19))))) % 35.31/35.57 (define @t240 () (or @t134 @t239)) % 35.31/35.57 (define @t241 () (@list @t238)) % 35.31/35.57 (define @t242 () (forall @t241 @t240)) % 35.31/35.57 (define @t243 () (forall @t241 @t239)) % 35.31/35.57 (define @t244 () (or @t134 @t243)) % 35.31/35.57 (define @t245 () (forall @t8 (= @t25 (and @t23 (forall @t21 (or (not @t20) @t19)))))) % 35.31/35.57 (define @t246 () (and @t199 @t169)) % 35.31/35.57 (define @t247 () (tptp.aSubsetOf0 @t118 tptp.xS)) % 35.31/35.57 (define @t248 () (= @t247 @t246)) % 35.31/35.57 (define @t249 () (or @t226 @t248)) % 35.31/35.57 (define @t250 () (@list false false)) % 35.31/35.57 (define @t251 () (@var "BOUND_VARIABLE_8261" $$unsorted)) % 35.31/35.57 (define @t252 () (tptp.sbrdtbr0 (tptp.sdtpldt0 @t1 @t251))) % 35.31/35.57 (define @t253 () (tptp.aElementOf0 @t251 @t1)) % 35.31/35.57 (define @t254 () (not (tptp.aElement0 @t251))) % 35.31/35.57 (define @t255 () (= @t252 @t83)) % 35.31/35.57 (define @t256 () (or @t134 @t15 @t254 @t253 @t255)) % 35.31/35.57 (define @t257 () (or @t254 @t253 @t255)) % 35.31/35.57 (define @t258 () (or @t134 @t15 @t257)) % 35.31/35.57 (define @t259 () (forall (@list @t1 @t251) @t258)) % 35.31/35.57 (define @t260 () (@list @t251)) % 35.31/35.57 (define @t261 () (forall @t260 @t258)) % 35.31/35.57 (define @t262 () (forall @t260 @t257)) % 35.31/35.57 (define @t263 () (or @t134 @t15 @t262)) % 35.31/35.57 (define @t264 () (or @t133 @t7 @t84)) % 35.31/35.57 (define @t265 () (forall @t8 @t264)) % 35.31/35.57 (define @t266 () (or @t134 @t15 @t265)) % 35.31/35.57 (define @t267 () (@var "BOUND_VARIABLE_8146" $$unsorted)) % 35.31/35.57 (define @t268 () (tptp.isFinite0 (tptp.sdtmndt0 @t267 @t1))) % 35.31/35.57 (define @t269 () (not (tptp.isFinite0 @t267))) % 35.31/35.57 (define @t270 () (not (tptp.aSet0 @t267))) % 35.31/35.57 (define @t271 () (not @t4)) % 35.31/35.57 (define @t272 () (or @t270 @t269 @t268)) % 35.31/35.57 (define @t273 () (or @t271 @t272)) % 35.31/35.57 (define @t274 () (forall (@list @t1 @t267) @t273)) % 35.31/35.57 (define @t275 () (@list @t267)) % 35.31/35.57 (define @t276 () (forall @t275 @t273)) % 35.31/35.57 (define @t277 () (forall @t275 @t272)) % 35.31/35.57 (define @t278 () (or @t271 @t277)) % 35.31/35.57 (define @t279 () (not @t30)) % 35.31/35.57 (define @t280 () (not @t23)) % 35.31/35.57 (define @t281 () (or @t280 @t279 @t70)) % 35.31/35.57 (define @t282 () (forall @t8 @t281)) % 35.31/35.57 (define @t283 () (tptp.isFinite0 @t117)) % 35.31/35.57 (define @t284 () (not @t114)) % 35.31/35.57 (define @t285 () (or @t159 @t160 @t284 @t283)) % 35.31/35.57 (define @t286 () (tptp.sbrdtbr0 @t118)) % 35.31/35.57 (define @t287 () (= @t119 @t286)) % 35.31/35.57 (define @t288 () (not @t283)) % 35.31/35.57 (define @t289 () (or @t209 @t288 @t208 @t120 @t287)) % 35.31/35.57 (define @t290 () (= tptp.xk @t121)) % 35.31/35.57 (define @t291 () (and @t122 @t290)) % 35.31/35.57 (define @t292 () (not @t246)) % 35.31/35.57 (define @t293 () (@list true false)) % 35.31/35.57 (define @t294 () (tptp.aElementOf0 @t170 tptp.xS)) % 35.31/35.57 (define @t295 () (not @t232)) % 35.31/35.57 (define @t296 () (or @t295 @t294)) % 35.31/35.57 (define @t297 () (@list true)) % 35.31/35.57 (define @t298 () (@list @t296)) % 35.31/35.57 (define @t299 () (not @t294)) % 35.31/35.57 (define @t300 () (not @t234)) % 35.31/35.57 (define @t301 () (and @t111 @t234 @t299)) % 35.31/35.57 (define @t302 () (forall @t21 (or (not (tptp.aElementOf0 @t18 tptp.xQ)) @t168))) % 35.31/35.57 (define @t303 () (and @t115 @t302)) % 35.31/35.57 (define @t304 () (tptp.aSubsetOf0 tptp.xQ tptp.xS)) % 35.31/35.57 (define @t305 () (= @t304 @t303)) % 35.31/35.57 (define @t306 () (or @t226 @t305)) % 35.31/35.57 (define @t307 () (@var "BOUND_VARIABLE_8489" $$unsorted)) % 35.31/35.57 (define @t308 () (tptp.aElementOf0 @t37 @t307)) % 35.31/35.57 (define @t309 () (and @t97 (= @t5 @t96))) % 35.31/35.57 (define @t310 () (forall @t45 (= @t308 @t309))) % 35.31/35.57 (define @t311 () (tptp.aSet0 @t307)) % 35.31/35.57 (define @t312 () (and @t311 @t310)) % 35.31/35.57 (define @t313 () (= (= @t307 @t102) @t312)) % 35.31/35.57 (define @t314 () (not @t77)) % 35.31/35.57 (define @t315 () (or @t134 @t314 @t313)) % 35.31/35.57 (define @t316 () (@list @t1 @t5 @t307)) % 35.31/35.57 (define @t317 () (forall @t316 @t315)) % 35.31/35.57 (define @t318 () (@list @t307)) % 35.31/35.57 (define @t319 () (forall @t318 @t315)) % 35.31/35.57 (define @t320 () (forall @t318 @t313)) % 35.31/35.57 (define @t321 () (or @t134 @t314 @t320)) % 35.31/35.57 (define @t322 () (forall @t21 (= @t103 (and @t35 (forall @t45 (= @t43 @t309)))))) % 35.31/35.57 (define @t323 () (or @t134 @t314 @t322)) % 35.31/35.57 (define @t324 () (tptp.aSubsetOf0 @t37 tptp.xS)) % 35.31/35.57 (define @t325 () (tptp.slbdtsldtrb0 tptp.xS @t113)) % 35.31/35.57 (define @t326 () (tptp.aElementOf0 @t37 @t325)) % 35.31/35.57 (define @t327 () (forall @t45 (= @t326 (and @t324 (= @t96 @t113))))) % 35.31/35.57 (define @t328 () (tptp.aSet0 @t325)) % 35.31/35.57 (define @t329 () (and @t328 @t327)) % 35.31/35.57 (define @t330 () (and @t324 (= @t113 @t96))) % 35.31/35.57 (define @t331 () (forall @t45 (= @t330 @t326))) % 35.31/35.57 (define @t332 () (and @t328 @t331)) % 35.31/35.58 (define @t333 () (= (= @t325 @t325) @t332)) % 35.31/35.58 (define @t334 () (tptp.aElementOf0 @t113 tptp.szNzAzT0)) % 35.31/35.58 (define @t335 () (not @t334)) % 35.31/35.58 (define @t336 () (or @t226 @t335 @t333)) % 35.31/35.58 (define @t337 () (forall @t316 (or @t134 @t314 (= (= @t102 @t307) (and @t311 (forall @t45 (= @t309 @t308))))))) % 35.31/35.58 (define @t338 () (or @t226 @t335 @t329)) % 35.31/35.58 (define @t339 () (and @t304 (= @t113 @t113))) % 35.31/35.58 (define @t340 () (tptp.aElementOf0 tptp.xQ @t325)) % 35.31/35.58 (define @t341 () (= @t340 @t339)) % 35.31/35.58 (define @t342 () (= @t340 @t304)) % 35.31/35.58 (define @t343 () (not @t172)) % 35.31/35.58 (define @t344 () (or @t343 @t294)) % 35.31/35.58 (assume @p1 (forall @t3 (=> @t2 true))) % 35.31/35.58 (assume @p2 (forall @t3 (=> @t4 true))) % 35.31/35.58 (assume @p3 @t11) % 35.31/35.58 (assume @p4 (forall @t3 (=> @t2 (=> @t12 true)))) % 35.31/35.58 (assume @p5 (forall @t3 (= @t13 (and @t2 (not (exists @t8 @t7)))))) % 35.31/35.58 (assume @p6 (tptp.isFinite0 tptp.slcrc0)) % 35.31/35.58 (assume @p7 (forall @t3 (=> @t2 (=> @t14 true)))) % 35.31/35.58 (assume @p8 (forall @t3 (=> @t16 @t15))) % 35.31/35.58 (assume @p9 (forall @t3 (=> @t16 @t17))) % 35.31/35.58 (assume @p10 @t29) % 35.31/35.58 (assume @p11 (forall @t3 (=> @t31 (forall @t8 (=> @t25 @t30))))) % 35.31/35.58 (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1)))) % 35.31/35.58 (assume @p13 (forall @t34 (=> (and @t2 @t23) (=> (and @t33 @t25) @t32)))) % 35.31/35.58 (assume @p14 (forall @t36 (=> (and @t2 @t23 @t35) (=> (and @t33 (tptp.aSubsetOf0 @t5 @t18)) (tptp.aSubsetOf0 @t1 @t18))))) % 35.31/35.58 (assume @p15 @t54) % 35.31/35.58 (assume @p16 @t65) % 35.31/35.58 (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t60 @t5) @t1)))))) % 35.31/35.58 (assume @p18 (forall @t34 (=> (and @t4 @t23) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t66 @t1) @t5))))) % 35.31/35.58 (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t67 (tptp.isCountable0 @t66)))))) % 35.31/35.58 (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t67 (tptp.isCountable0 @t68)))))) % 35.31/35.58 (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t69 (tptp.isFinite0 @t66)))))) % 35.31/35.58 (assume @p22 @t73) % 35.31/35.58 (assume @p23 (and (tptp.aSet0 tptp.szNzAzT0) (tptp.isCountable0 tptp.szNzAzT0))) % 35.31/35.58 (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0)) % 35.31/35.58 (assume @p25 (forall @t3 (=> @t75 (and (tptp.aElementOf0 @t74 tptp.szNzAzT0) (not (= @t74 tptp.sz00)))))) % 35.31/35.58 (assume @p26 (forall @t34 (=> @t78 (=> (= @t74 @t76) @t32)))) % 35.31/35.58 (assume @p27 (forall @t3 (=> @t75 (or (= @t1 tptp.sz00) (exists @t8 (and @t77 (= @t1 @t76))))))) % 35.31/35.58 (assume @p28 (forall @t3 (=> @t75 (not (= @t1 @t74))))) % 35.31/35.58 (assume @p29 (forall @t34 (=> @t78 (=> @t79 true)))) % 35.31/35.58 (assume @p30 (forall @t3 (=> @t75 (tptp.sdtlseqdt0 tptp.sz00 @t1)))) % 35.31/35.58 (assume @p31 (forall @t3 (=> @t75 (not (tptp.sdtlseqdt0 @t74 tptp.sz00))))) % 35.31/35.58 (assume @p32 (forall @t34 (=> @t78 (= @t79 (tptp.sdtlseqdt0 @t74 @t76))))) % 35.31/35.58 (assume @p33 (forall @t3 (=> @t75 (tptp.sdtlseqdt0 @t1 @t74)))) % 35.31/35.58 (assume @p34 (forall @t3 (=> @t75 (tptp.sdtlseqdt0 @t1 @t1)))) % 35.31/35.58 (assume @p35 (forall @t34 (=> @t78 (=> (and @t79 (tptp.sdtlseqdt0 @t5 @t1)) @t32)))) % 35.31/35.58 (assume @p36 (forall @t36 (=> (and @t75 @t77 @t81) (=> (and @t79 @t80) (tptp.sdtlseqdt0 @t1 @t18))))) % 35.31/35.58 (assume @p37 (forall @t34 (=> @t78 (or @t79 (tptp.sdtlseqdt0 @t76 @t1))))) % 35.31/35.58 (assume @p38 (forall @t34 (=> @t78 (=> (tptp.iLess0 @t1 @t5) true)))) % 35.31/35.58 (assume @p39 (forall @t3 (=> @t75 (tptp.iLess0 @t1 @t74)))) % 35.31/35.58 (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t82)))) % 35.31/35.58 (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t82 tptp.szNzAzT0) @t12)))) % 35.31/35.58 (assume @p42 (forall @t3 (=> @t2 (= (= @t82 tptp.sz00) @t13)))) % 35.31/35.58 (assume @p43 @t89) % 35.31/35.58 (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t12 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t60)) @t82)))))) % 35.31/35.58 (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t12 @t25) (tptp.sdtlseqdt0 (tptp.sbrdtbr0 @t5) @t82)))))) % 35.31/35.58 (assume @p46 (forall @t34 (=> @t90 (=> (and @t12 (tptp.sdtlseqdt0 @t5 @t82)) (exists @t21 (and (tptp.aSubsetOf0 @t18 @t1) (= (tptp.sbrdtbr0 @t18) @t5))))))) % 35.31/35.58 (assume @p47 (forall @t3 (=> (and @t92 @t17) (forall @t8 (= (= @t5 @t91) (and @t7 (forall @t21 (=> @t19 @t80)))))))) % 35.31/35.58 (assume @p48 (forall @t3 (=> (and @t92 @t12 @t17) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t21 (=> @t19 (tptp.sdtlseqdt0 @t18 @t5))))))))) % 35.31/35.58 (assume @p49 (forall @t34 (=> (and @t92 (tptp.aSubsetOf0 @t5 tptp.szNzAzT0) @t17 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t91 @t5) (tptp.aElementOf0 @t93 @t1)) (= @t91 @t93))))) % 35.31/35.58 (assume @p50 (forall @t3 (=> @t75 (forall @t8 (= (= @t5 @t94) (and @t23 (forall @t21 (= @t20 (and @t81 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t18) @t1)))))))))) % 35.31/35.58 (assume @p51 (forall @t3 (=> @t75 (tptp.isFinite0 @t94)))) % 35.31/35.58 (assume @p52 (= (tptp.slbdtrb0 tptp.sz00) tptp.slcrc0)) % 35.31/35.58 (assume @p53 (forall @t34 (=> @t78 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t76)) (or (tptp.aElementOf0 @t1 @t95) @t32))))) % 35.31/35.58 (assume @p54 (forall @t34 (=> @t78 (= @t79 (tptp.aSubsetOf0 @t94 @t95))))) % 35.31/35.58 (assume @p55 (forall @t3 (=> (and @t92 @t12) (exists @t8 (and @t77 (tptp.aSubsetOf0 @t1 @t95)))))) % 35.31/35.58 (assume @p56 (forall @t3 (=> @t75 (= (tptp.sbrdtbr0 @t94) @t1)))) % 35.31/35.58 (assume @p57 @t107) % 35.31/35.58 (assume @p58 (forall @t3 (=> @t31 (forall @t8 (=> @t77 (tptp.isFinite0 @t102)))))) % 35.31/35.58 (assume @p59 (forall @t3 (=> (and @t2 @t15) (forall @t8 (=> @t77 (not (= @t102 tptp.slcrc0))))))) % 35.31/35.58 (assume @p60 (forall @t3 (=> @t16 (forall @t8 (=> (and @t77 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t102)))))) % 35.31/35.58 (assume @p61 @t108) % 35.31/35.58 (assume @p62 (and @t109 (tptp.aSet0 tptp.xT) (not (= tptp.xk tptp.sz00)))) % 35.31/35.58 (assume @p63 (and (tptp.aSubsetOf0 @t110 (tptp.slbdtsldtrb0 tptp.xT tptp.xk)) (not (= @t110 tptp.slcrc0)))) % 35.31/35.58 (assume @p64 @t111) % 35.31/35.58 (assume @p65 @t112) % 35.31/35.58 (assume @p66 (and @t115 @t114 (= @t113 tptp.xk))) % 35.31/35.58 (assume @p67 (and @t116 (tptp.aElementOf0 tptp.xy tptp.xQ))) % 35.31/35.58 (assume @p68 (not (tptp.aElementOf0 tptp.xx tptp.xQ))) % 35.31/35.58 (assume @p69 (= tptp.xP @t118)) % 35.31/35.58 (assume @p70 (and (not @t120) (= @t119 tptp.xk))) % 35.31/35.58 (assume @p71 @t124) % 35.31/35.58 (assume @p72 true) % 35.31/35.58 (step @p73 :rule eq-symm :args (@t126 @t128)) % 35.31/35.58 (step @p74 :rule cong :premises (@p73) :args (@t129)) % 35.31/35.58 (step @p75 :rule refl :args (@t130)) % 35.31/35.58 (step @p76 :rule nary_cong :premises (@p75 @p74) :args (@t131)) % 35.31/35.58 (step @p77 :rule eq-symm :args (@t125 @t60)) % 35.31/35.58 (step @p78 :rule cong :premises (@p77 @p76) :args (@t132)) % 35.31/35.58 (step @p79 :rule refl :args (@t133)) % 35.31/35.58 (step @p80 :rule refl :args (@t134)) % 35.31/35.58 (step @p81 :rule nary_cong :premises (@p80 @p79 @p78) :args (@t135)) % 35.31/35.58 (step @p82 :rule cong :premises (@p81) :args (@t137)) % 35.31/35.58 (step @p83 :rule quant-merge-prenex :args ((= (forall @t34 @t139) @t137))) % 35.31/35.58 (step @p84 :rule alpha_equiv :args (@t140 (@list @t125) @t141)) % 35.31/35.58 (step @p85 :rule refl :args (@t133)) % 35.31/35.58 (step @p86 :rule refl :args (@t134)) % 35.31/35.58 (step @p87 :rule nary_cong :premises (@p86 @p85 @p84) :args (@t142)) % 35.31/35.58 (step @p88 :rule quant-miniscope-or :args ((= @t139 @t142))) % 35.31/35.58 (step @p89 :rule trans :premises (@p88 @p87)) % 35.31/35.58 (step @p90 :rule symm :premises (@p89)) % 35.31/35.58 (step @p91 :rule cong :premises (@p90) :args ((forall @t34 @t144))) % 35.31/35.58 (step @p92 :rule trans :premises (@p91 @p83)) % 35.31/35.58 (step @p93 :rule trans :premises (@p92 @p82)) % 35.31/35.58 (step @p94 :rule aci_norm :args ((= (or @t145 @t143) @t144))) % 35.31/35.58 (step @p95 :rule refl :args (@t143)) % 35.31/35.58 (step @p96 :rule bool-and-de-morgan :args (@t2 @t6 true)) % 35.31/35.58 (step @p97 :rule nary_cong :premises (@p96 @p95) :args ((or @t146 @t143))) % 35.31/35.58 (step @p98 :rule trans :premises (@p97 @p94)) % 35.31/35.58 (step @p99 :rule bool-impl-elim :args (@t52 @t143)) % 35.31/35.58 (step @p100 :rule trans :premises (@p99 @p98)) % 35.31/35.58 (step @p101 :rule cong :premises (@p100) :args ((forall @t34 (=> @t52 @t143)))) % 35.31/35.58 (step @p102 :rule trans :premises (@p101 @p93)) % 35.31/35.58 (step @p103 :rule eq-symm :args (@t37 @t5)) % 35.31/35.58 (step @p104 :rule cong :premises (@p103) :args (@t55)) % 35.31/35.58 (step @p105 :rule refl :args (@t39)) % 35.31/35.58 (step @p106 :rule refl :args (@t41)) % 35.31/35.58 (step @p107 :rule nary_cong :premises (@p106 @p105 @p104) :args (@t56)) % 35.31/35.58 (step @p108 :rule refl :args (@t43)) % 35.31/35.58 (step @p109 :rule cong :premises (@p108 @p107) :args (@t57)) % 35.31/35.58 (step @p110 :rule cong :premises (@p109) :args (@t58)) % 35.31/35.58 (step @p111 :rule refl :args (@t35)) % 35.31/35.58 (step @p112 :rule nary_cong :premises (@p111 @p110) :args (@t59)) % 35.31/35.58 (step @p113 :rule refl :args (@t61)) % 35.31/35.58 (step @p114 :rule cong :premises (@p113 @p112) :args (@t62)) % 35.31/35.58 (step @p115 :rule cong :premises (@p114) :args (@t63)) % 35.31/35.58 (step @p116 :rule refl :args (@t52)) % 35.31/35.58 (step @p117 :rule cong :premises (@p116 @p115) :args (@t64)) % 35.31/35.58 (step @p118 :rule cong :premises (@p117) :args (@t65)) % 35.31/35.58 (step @p119 :rule trans :premises (@p118 @p102)) % 35.31/35.58 (step @p120 :rule eq_resolve :premises (@p16 @p119)) % 35.31/35.58 (step @p121 :rule bool-eq-true :args (@t152)) % 35.31/35.58 (step @p122 :rule eq-symm :args (true @t152)) % 35.31/35.58 (step @p123 :rule trans :premises (@p122 @p121)) % 35.31/35.58 (step @p124 :rule eq-symm :args (@t148 @t149)) % 35.31/35.58 (step @p125 :rule refl :args (@t149)) % 35.31/35.58 (step @p126 :rule eq-symm :args (tptp.xy @t37)) % 35.31/35.58 (step @p127 :rule cong :premises (@p126) :args (@t153)) % 35.31/35.58 (step @p128 :rule refl :args (@t147)) % 35.31/35.58 (step @p129 :rule nary_cong :premises (@p106 @p128 @p127) :args (@t154)) % 35.31/35.58 (step @p130 :rule cong :premises (@p129 @p125) :args (@t155)) % 35.31/35.58 (step @p131 :rule trans :premises (@p130 @p124)) % 35.31/35.58 (step @p132 :rule cong :premises (@p131) :args (@t156)) % 35.31/35.58 (step @p133 :rule refl :args (@t151)) % 35.31/35.58 (step @p134 :rule nary_cong :premises (@p133 @p132) :args (@t157)) % 35.31/35.58 (step @p135 :rule eq-refl :args (@t117)) % 35.31/35.58 (step @p136 :rule cong :premises (@p135 @p134) :args (@t158)) % 35.31/35.58 (step @p137 :rule trans :premises (@p136 @p123)) % 35.31/35.58 (step @p138 :rule refl :args (@t159)) % 35.31/35.58 (step @p139 :rule refl :args (@t160)) % 35.31/35.58 (step @p140 :rule nary_cong :premises (@p139 @p138 @p137) :args (@t161)) % 35.31/35.58 (step @p141 :rule refl :args (@t162)) % 35.31/35.58 (step @p142 :rule cong :premises (@p141 @p140) :args ((=> @t162 @t161))) % 35.31/35.58 (assume-push @p599 @t162) % 35.31/35.58 (step @p144 :rule instantiate :premises (@p120) :args ((@list tptp.xQ tptp.xy @t117))) % 35.31/35.58 (step-pop @p600 :rule scope :premises (@p144)) % 35.31/35.58 (step @p145 :rule process_scope :premises (@p600) :args (@t161)) % 35.31/35.58 (step @p147 :rule eq_resolve :premises (@p145 @p142)) % 35.31/35.58 (step @p148 :rule implies_elim :premises (@p147)) % 35.31/35.58 (step @p149 :rule 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% 35.31/35.58 (step @p162 :rule nary_cong :premises (@p161 @p160 @p159) :args (@t174)) % 35.31/35.58 (step @p163 :rule refl :args (@t175)) % 35.31/35.58 (step @p164 :rule cong :premises (@p163 @p162) :args (@t176)) % 35.31/35.58 (step @p165 :rule refl :args (@t150)) % 35.31/35.58 (step @p166 :rule cong :premises (@p165 @p164) :args ((=> @t150 @t176))) % 35.31/35.58 (assume-push @p601 @t150) % 35.31/35.58 (step @p168 :rule instantiate :premises (@p157) :args (@t177)) % 35.31/35.58 (step-pop @p602 :rule scope :premises (@p168)) % 35.31/35.58 (step @p169 :rule process_scope :premises (@p602) :args (@t176)) % 35.31/35.58 (step @p171 :rule eq_resolve :premises (@p169 @p166)) % 35.31/35.58 (step @p172 :rule implies_elim :premises (@p171)) % 35.31/35.58 (step @p173 :rule chain_m_resolution :premises (@p172 @p157) :args (@t179 @t164 (@list @t150))) % 35.31/35.58 (step @p174 :rule eq-symm :args (@t181 @t182)) % 35.31/35.58 (step @p175 :rule cong :premises (@p174) :args (@t183)) % 35.31/35.58 (step @p176 :rule refl :args (@t184)) % 35.31/35.58 (step @p177 :rule nary_cong :premises (@p176 @p175) :args (@t185)) % 35.31/35.58 (step @p178 :rule eq-symm :args (@t180 @t48)) % 35.31/35.58 (step @p179 :rule cong :premises (@p178 @p177) :args (@t186)) % 35.31/35.58 (step @p180 :rule nary_cong :premises (@p80 @p79 @p179) :args (@t187)) % 35.31/35.58 (step @p181 :rule cong :premises (@p180) :args (@t189)) % 35.31/35.58 (step @p182 :rule quant-merge-prenex :args ((= (forall @t34 @t191) @t189))) % 35.31/35.58 (step @p183 :rule alpha_equiv :args (@t192 (@list @t180) @t141)) % 35.31/35.58 (step @p184 :rule nary_cong :premises (@p86 @p85 @p183) :args (@t193)) % 35.31/35.58 (step @p185 :rule quant-miniscope-or :args ((= @t191 @t193))) % 35.31/35.58 (step @p186 :rule trans :premises (@p185 @p184)) % 35.31/35.58 (step @p187 :rule symm :premises (@p186)) % 35.31/35.58 (step @p188 :rule cong :premises (@p187) :args ((forall @t34 @t195))) % 35.31/35.58 (step @p189 :rule trans :premises (@p188 @p182)) % 35.31/35.58 (step @p190 :rule trans :premises (@p189 @p181)) % 35.31/35.58 (step @p191 :rule aci_norm :args ((= (or @t145 @t194) @t195))) % 35.31/35.58 (step @p192 :rule refl :args (@t194)) % 35.31/35.58 (step @p193 :rule nary_cong :premises (@p96 @p192) :args ((or @t146 @t194))) % 35.31/35.58 (step @p194 :rule trans :premises (@p193 @p191)) % 35.31/35.58 (step @p195 :rule bool-impl-elim :args (@t52 @t194)) % 35.31/35.58 (step @p196 :rule trans :premises (@p195 @p194)) % 35.31/35.58 (step @p197 :rule cong :premises (@p196) :args ((forall @t34 (=> @t52 @t194)))) % 35.31/35.58 (step @p198 :rule trans :premises (@p197 @p190)) % 35.31/35.58 (step @p199 :rule nary_cong :premises (@p105 @p103) :args (@t40)) % 35.31/35.58 (step @p200 :rule nary_cong :premises (@p106 @p199) :args (@t42)) % 35.31/35.58 (step @p201 :rule cong :premises (@p108 @p200) :args (@t44)) % 35.31/35.58 (step @p202 :rule cong :premises (@p201) :args (@t46)) % 35.31/35.58 (step @p203 :rule nary_cong :premises (@p111 @p202) :args (@t47)) % 35.31/35.58 (step @p204 :rule refl :args (@t49)) % 35.31/35.58 (step @p205 :rule cong :premises (@p204 @p203) :args (@t50)) % 35.31/35.58 (step @p206 :rule cong :premises (@p205) :args (@t51)) % 35.31/35.58 (step @p207 :rule cong :premises (@p116 @p206) :args (@t53)) % 35.31/35.58 (step @p208 :rule cong :premises (@p207) :args (@t54)) % 35.31/35.58 (step @p209 :rule trans :premises (@p208 @p198)) % 35.31/35.58 (step @p210 :rule eq_resolve :premises (@p15 @p209)) % 35.31/35.58 (step @p211 :rule bool-eq-true :args (@t200)) % 35.31/35.58 (step @p212 :rule eq-symm :args (true @t200)) % 35.31/35.58 (step @p213 :rule trans :premises (@p212 @p211)) % 35.31/35.58 (step @p214 :rule eq-symm :args (@t196 @t197)) % 35.31/35.58 (step @p215 :rule refl :args (@t197)) % 35.31/35.58 (step @p216 :rule eq-symm :args (tptp.xx @t37)) % 35.31/35.58 (step @p217 :rule nary_cong :premises (@p125 @p216) :args (@t201)) % 35.31/35.58 (step @p218 :rule nary_cong :premises (@p106 @p217) :args (@t202)) % 35.31/35.58 (step @p219 :rule cong :premises (@p218 @p215) :args (@t203)) % 35.31/35.58 (step @p220 :rule trans :premises (@p219 @p214)) % 35.31/35.58 (step @p221 :rule cong :premises (@p220) :args (@t204)) % 35.31/35.58 (step @p222 :rule refl :args (@t199)) % 35.31/35.58 (step @p223 :rule nary_cong :premises (@p222 @p221) :args (@t205)) % 35.31/35.58 (step @p224 :rule eq-refl :args (@t118)) % 35.31/35.58 (step @p225 :rule cong :premises (@p224 @p223) :args (@t206)) % 35.31/35.58 (step @p226 :rule trans :premises (@p225 @p213)) % 35.31/35.58 (step @p227 :rule refl :args (@t208)) % 35.31/35.58 (step @p228 :rule refl :args (@t209)) % 35.31/35.58 (step @p229 :rule nary_cong :premises (@p228 @p227 @p226) :args (@t210)) % 35.31/35.58 (step @p230 :rule refl :args (@t211)) % 35.31/35.58 (step @p231 :rule cong :premises (@p230 @p229) :args ((=> @t211 @t210))) % 35.31/35.58 (assume-push @p603 @t211) % 35.31/35.58 (step @p233 :rule instantiate :premises (@p210) :args 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(@p245)) % 35.31/35.58 (step @p247 :rule cong :premises (@p246) :args ((forall @t3 (or @t134 @t224)))) % 35.31/35.58 (step @p248 :rule trans :premises (@p247 @p241)) % 35.31/35.58 (step @p249 :rule trans :premises (@p248 @p240)) % 35.31/35.58 (step @p250 :rule bool-impl-elim :args (@t2 @t224)) % 35.31/35.58 (step @p251 :rule cong :premises (@p250) :args ((forall @t3 (=> @t2 @t224)))) % 35.31/35.58 (step @p252 :rule trans :premises (@p251 @p249)) % 35.31/35.58 (step @p253 :rule bool-impl-elim :args (@t7 @t6)) % 35.31/35.58 (step @p254 :rule cong :premises (@p253) :args (@t9)) % 35.31/35.58 (step @p255 :rule refl :args (@t2)) % 35.31/35.58 (step @p256 :rule cong :premises (@p255 @p254) :args (@t10)) % 35.31/35.58 (step @p257 :rule cong :premises (@p256) :args (@t11)) % 35.31/35.58 (step @p258 :rule trans :premises (@p257 @p252)) % 35.31/35.58 (step @p259 :rule eq_resolve :premises (@p3 @p258)) % 35.31/35.58 (step @p260 :rule instantiate :premises (@p259) :args ((@list tptp.xS tptp.xx))) % 35.31/35.58 (step @p261 :rule and_elim :premises (@p62) :args (0)) % 35.31/35.58 (step @p262 :rule cnf_or_pos :args (@t227)) % 35.31/35.58 (step @p263 :rule reordering :premises (@p262) :args ((or @t226 @t225 @t207 (not @t227)))) % 35.31/35.58 (step @p264 :rule chain_m_resolution :premises (@p263 @p261 @p64 @p260) :args (@t207 @t165 (@list @t109 @t111 @t227))) % 35.31/35.58 (step @p265 :rule cnf_and_pos :args (@t152 0)) % 35.31/35.58 (step @p266 :rule reordering :premises (@p265) :args ((or @t151 @t166))) % 35.31/35.58 (step @p267 :rule chain_m_resolution :premises (@p266 @p154) :args (@t151 @t164 @t167)) % 35.31/35.58 (step @p268 :rule cnf_or_pos :args (@t212)) % 35.31/35.58 (step @p269 :rule reordering :premises (@p268) :args ((or @t209 @t208 @t200 (not @t212)))) % 35.31/35.58 (step @p270 :rule chain_m_resolution :premises (@p269 @p267 @p264 @p238) :args (@t200 @t165 (@list @t151 @t207 @t212))) % 35.31/35.58 (step @p271 :rule cnf_and_pos :args (@t200 1)) % 35.31/35.58 (step @p272 :rule reordering :premises (@p271) :args ((or @t198 @t228))) % 35.31/35.58 (step @p273 :rule chain_m_resolution :premises (@p272 @p270) :args (@t198 @t164 @t229)) % 35.31/35.58 (step @p274 :rule eq-symm :args (@t170 tptp.xx)) % 35.31/35.58 (step @p275 :rule nary_cong :premises (@p163 @p274) :args (@t230)) % 35.31/35.58 (step @p276 :rule nary_cong :premises (@p161 @p275) :args (@t231)) % 35.31/35.58 (step @p277 :rule refl :args (@t232)) % 35.31/35.58 (step @p278 :rule cong :premises (@p277 @p276) :args (@t233)) % 35.31/35.58 (step @p279 :rule refl :args (@t198)) % 35.31/35.58 (step @p280 :rule cong :premises (@p279 @p278) :args ((=> @t198 @t233))) % 35.31/35.58 (assume-push @p605 @t198) % 35.31/35.58 (step @p282 :rule instantiate :premises (@p273) :args (@t177)) % 35.31/35.58 (step-pop @p606 :rule scope :premises (@p282)) % 35.31/35.58 (step @p283 :rule process_scope :premises (@p606) :args (@t233)) % 35.31/35.58 (step @p285 :rule eq_resolve :premises (@p283 @p280)) % 35.31/35.58 (step @p286 :rule implies_elim :premises (@p285)) % 35.31/35.58 (step @p287 :rule chain_m_resolution :premises (@p286 @p273) :args (@t237 @t164 (@list @t198))) % 35.31/35.58 (step @p288 :rule cnf_and_pos :args (@t200 0)) % 35.31/35.58 (step @p289 :rule reordering :premises (@p288) :args ((or @t199 @t228))) % 35.31/35.58 (step @p290 :rule chain_m_resolution :premises (@p289 @p270) :args (@t199 @t164 @t229)) % 35.31/35.58 (step @p291 :rule quant-merge-prenex :args ((= (forall @t3 @t242) (forall (@list @t1 @t238) @t240)))) % 35.31/35.58 (step @p292 :rule alpha_equiv :args (@t243 (@list @t238) @t222)) % 35.31/35.58 (step @p293 :rule nary_cong :premises (@p86 @p292) :args (@t244)) % 35.31/35.58 (step @p294 :rule quant-miniscope-or :args ((= @t242 @t244))) % 35.31/35.58 (step @p295 :rule trans :premises (@p294 @p293)) % 35.31/35.58 (step @p296 :rule symm :premises (@p295)) % 35.31/35.58 (step @p297 :rule cong :premises (@p296) :args ((forall @t3 (or @t134 @t245)))) % 35.31/35.58 (step @p298 :rule 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(@t99)) % 35.31/35.58 (step @p516 :rule cong :premises (@p515) :args (@t100)) % 35.31/35.58 (step @p517 :rule nary_cong :premises (@p111 @p516) :args (@t101)) % 35.31/35.58 (step @p518 :rule refl :args (@t103)) % 35.31/35.58 (step @p519 :rule cong :premises (@p518 @p517) :args (@t104)) % 35.31/35.58 (step @p520 :rule cong :premises (@p519) :args (@t105)) % 35.31/35.58 (step @p521 :rule refl :args (@t90)) % 35.31/35.58 (step @p522 :rule cong :premises (@p521 @p520) :args (@t106)) % 35.31/35.58 (step @p523 :rule cong :premises (@p522) :args (@t107)) % 35.31/35.58 (step @p524 :rule trans :premises (@p523 @p511)) % 35.31/35.58 (step @p525 :rule eq_resolve :premises (@p57 @p524)) % 35.31/35.58 (step @p526 :rule bool-eq-true :args (@t329)) % 35.31/35.58 (step @p527 :rule eq-symm :args (true @t329)) % 35.31/35.58 (step @p528 :rule trans :premises (@p527 @p526)) % 35.31/35.58 (step @p529 :rule eq-symm :args (@t113 @t96)) % 35.31/35.58 (step @p530 :rule refl :args (@t324)) % 35.31/35.58 (step @p531 :rule nary_cong :premises (@p530 @p529) :args (@t330)) % 35.31/35.58 (step @p532 :rule refl :args (@t326)) % 35.31/35.58 (step @p533 :rule cong :premises (@p532 @p531) :args ((= @t326 @t330))) % 35.31/35.58 (step @p534 :rule eq-symm :args (@t330 @t326)) % 35.31/35.58 (step @p535 :rule trans :premises (@p534 @p533)) % 35.31/35.58 (step @p536 :rule cong :premises (@p535) :args (@t331)) % 35.31/35.58 (step @p537 :rule refl :args (@t328)) % 35.31/35.58 (step @p538 :rule nary_cong :premises (@p537 @p536) :args (@t332)) % 35.31/35.58 (step @p539 :rule eq-refl :args (@t325)) % 35.31/35.58 (step @p540 :rule cong :premises (@p539 @p538) :args (@t333)) % 35.31/35.58 (step @p541 :rule trans :premises (@p540 @p528)) % 35.31/35.58 (step @p542 :rule refl :args (@t335)) % 35.31/35.58 (step @p543 :rule refl :args (@t226)) % 35.31/35.58 (step @p544 :rule nary_cong :premises (@p543 @p542 @p541) :args (@t336)) % 35.31/35.58 (step @p545 :rule refl :args (@t337)) % 35.31/35.58 (step @p546 :rule cong :premises (@p545 @p544) :args ((=> @t337 @t336))) % 35.31/35.58 (assume-push @p619 @t337) % 35.31/35.58 (step @p548 :rule instantiate :premises (@p525) :args ((@list tptp.xS @t113 @t325))) % 35.31/35.58 (step-pop @p620 :rule scope :premises (@p548)) % 35.31/35.58 (step @p549 :rule process_scope :premises (@p620) :args (@t336)) % 35.31/35.58 (step @p551 :rule eq_resolve :premises (@p549 @p546)) % 35.31/35.58 (step @p552 :rule implies_elim :premises (@p551)) % 35.31/35.58 (step @p553 :rule chain_m_resolution :premises (@p552 @p525) :args (@t338 @t164 (@list @t337))) % 35.31/35.58 (step @p554 :rule refl :args (tptp.szNzAzT0)) % 35.31/35.58 (step @p555 :rule cong :premises (@p400 @p554) :args (@t108)) % 35.31/35.58 (step @p556 :rule eq_resolve :premises (@p61 @p555)) % 35.31/35.58 (step @p557 :rule cnf_or_pos :args (@t338)) % 35.31/35.58 (step @p558 :rule reordering :premises (@p557) :args ((or @t335 @t226 @t329 (not @t338)))) % 35.31/35.58 (step @p559 :rule chain_m_resolution :premises (@p558 @p556 @p261 @p553) :args (@t329 @t165 (@list @t334 @t109 @t338))) % 35.31/35.58 (step @p560 :rule cnf_and_pos :args (@t329 1)) % 35.31/35.58 (step @p561 :rule reordering :premises (@p560) :args ((or @t327 (not @t329)))) % 35.31/35.58 (step @p562 :rule chain_m_resolution :premises (@p561 @p559) :args (@t327 @t164 (@list @t329))) % 35.31/35.58 (step @p563 :rule aci_norm :args ((= (and @t304 true) @t304))) % 35.31/35.58 (step @p564 :rule eq-refl :args (@t113)) % 35.31/35.58 (step @p565 :rule refl :args (@t304)) % 35.31/35.58 (step @p566 :rule nary_cong :premises (@p565 @p564) :args (@t339)) % 35.31/35.58 (step @p567 :rule trans :premises (@p566 @p563)) % 35.31/35.58 (step @p568 :rule refl :args (@t340)) % 35.31/35.58 (step @p569 :rule cong :premises (@p568 @p567) :args (@t341)) % 35.31/35.58 (step @p570 :rule refl :args (@t327)) % 35.31/35.58 (step @p571 :rule cong :premises (@p570 @p569) :args ((=> @t327 @t341))) % 35.31/35.58 (assume-push @p621 @t327) % 35.31/35.58 (step @p573 :rule instantiate :premises (@p562) :args ((@list tptp.xQ))) % 35.31/35.58 (step-pop @p622 :rule scope :premises (@p573)) % 35.31/35.58 (step @p574 :rule process_scope :premises (@p622) :args (@t341)) % 35.31/35.58 (step @p576 :rule eq_resolve :premises (@p574 @p571)) % 35.31/35.58 (step @p577 :rule implies_elim :premises (@p576)) % 35.31/35.58 (step @p578 :rule chain_m_resolution :premises (@p577 @p562) :args (@t342 @t164 (@list @t327))) % 35.31/35.58 (step @p579 :rule cong :premises (@p409 @p400) :args (@t110)) % 35.31/35.58 (step @p580 :rule refl :args (tptp.xQ)) % 35.31/35.58 (step @p581 :rule cong :premises (@p580 @p579) :args (@t112)) % 35.31/35.58 (step @p582 :rule eq_resolve :premises (@p65 @p581)) % 35.31/35.58 (step @p583 :rule cnf_equiv_pos1 :args (@t342)) % 35.31/35.58 (step @p584 :rule reordering :premises (@p583) :args ((or (not @t340) @t304 (not @t342)))) % 35.31/35.58 (step @p585 :rule chain_m_resolution :premises (@p584 @p582 @p578) :args (@t304 @t250 (@list @t340 @t342))) % 35.31/35.58 (step @p586 :rule cnf_equiv_pos1 :args (@t305)) % 35.31/35.58 (step @p587 :rule reordering :premises (@p586) :args ((or @t303 (not @t304) (not @t305)))) % 35.31/35.58 (step @p588 :rule chain_m_resolution :premises (@p587 @p585 @p483) :args (@t303 @t250 (@list @t304 @t305))) % 35.31/35.58 (step @p589 :rule cnf_and_pos :args (@t303 1)) % 35.31/35.58 (step @p590 :rule reordering :premises (@p589) :args ((or @t302 (not @t303)))) % 35.31/35.58 (step @p591 :rule chain_m_resolution :premises (@p590 @p588) :args (@t302 @t164 (@list @t303))) % 35.31/35.58 (step @p592 :rule instantiate :premises (@p591) :args (@t177)) % 35.31/35.58 (step @p593 :rule cnf_or_pos :args (@t344)) % 35.31/35.58 (step @p594 :rule reordering :premises (@p593) :args ((or @t294 @t343 (not @t344)))) % 35.31/35.58 (step @p595 :rule chain_m_resolution :premises (@p594 @p441 @p592) :args (@t343 @t293 (@list @t294 @t344))) % 35.31/35.58 (step @p596 :rule cnf_and_pos :args (@t178 1)) % 35.31/35.58 (step @p597 :rule reordering :premises (@p596) :args ((or @t172 (not @t178)))) % 35.31/35.58 (step @p598 false :rule chain_m_resolution :premises (@p597 @p595 @p479) :args (false @t293 (@list @t172 @t178))) % 35.31/35.58 ) % 35.31/35.58 % SZS output end Proof % 35.31/35.58 % cvc5 exiting %------------------------------------------------------------------------------