%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS149+1 : TPTP v9.2.1. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n003.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 08:29:01 AM UTC 2026 % Result : Theorem 0.37s 0.65s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS149+1 : TPTP v9.2.1. Released v3.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n003.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 05:28:14 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.65 % SZS status Theorem % 0.37/0.65 % SZS output start Proof % 0.37/0.65 ( % 0.37/0.65 (declare-sort $$unsorted 0) % 0.37/0.65 (declare-const tptp.iV3102 $$unsorted) % 0.37/0.65 (declare-const tptp.cC94 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC92 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC90 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC88 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC86 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC84 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC82 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC78 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC74 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC70 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC66 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cTOP (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC62 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC60 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC58 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC52 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC48 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC46 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC44 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC42 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC40 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC4 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC38 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC34 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC72 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC32 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC24 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC214 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC206 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC202 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC200 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC198 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC194 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC36 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC192 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC134 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cTEST (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC64 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC98 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC122 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC130 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC8 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC120 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC196 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC116 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC100 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC132 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC172 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC126 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC182 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC20 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC12 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC96 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC2 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC50 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC168 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC146 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC54 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC210 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC204 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC124 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC162 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC112 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC148 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC56 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC212 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC10 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC68 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC28 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC186 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC6 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC216 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.rR1 (-> $$unsorted $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC208 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC128 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC190 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC110 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC16 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC118 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC156 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC176 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC138 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC76 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC114 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC136 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC174 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC80 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC158 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC140 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC26 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC184 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC104 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC142 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC102 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC180 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC106 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC144 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC150 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC30 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC108 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC188 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC152 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC154 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC160 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC164 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC166 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC170 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC178 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC22 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC14 (-> $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.cC18 (-> $$unsorted Bool)) % 0.37/0.65 (define @t1 () (@var "X" $$unsorted)) % 0.37/0.65 (define @t2 () (not (tptp.cowlNothing @t1))) % 0.37/0.65 (define @t3 () (tptp.cowlThing @t1)) % 0.37/0.65 (define @t4 () (@list @t1)) % 0.37/0.65 (define @t5 () (forall @t4 (and @t3 @t2))) % 0.37/0.65 (define @t6 () (forall @t4 (= (tptp.xsd_string @t1) (not (tptp.xsd_integer @t1))))) % 0.37/0.65 (define @t7 () (tptp.cC2 @t1)) % 0.37/0.65 (define @t8 () (not @t7)) % 0.37/0.65 (define @t9 () (tptp.cC8 @t1)) % 0.37/0.65 (define @t10 () (tptp.cC10 @t1)) % 0.37/0.65 (define @t11 () (@var "Y" $$unsorted)) % 0.37/0.65 (define @t12 () (tptp.rR1 @t1 @t11)) % 0.37/0.65 (define @t13 () (@list @t11)) % 0.37/0.65 (define @t14 () (tptp.cC100 @t1)) % 0.37/0.65 (define @t15 () (exists @t13 (and @t12 (not (tptp.cC16 @t11))))) % 0.37/0.65 (define @t16 () (tptp.cC102 @t1)) % 0.37/0.65 (define @t17 () (tptp.cC16 @t1)) % 0.37/0.65 (define @t18 () (tptp.cC106 @t1)) % 0.37/0.65 (define @t19 () (not @t17)) % 0.37/0.65 (define @t20 () (tptp.cC108 @t1)) % 0.37/0.65 (define @t21 () (tptp.cC110 @t1)) % 0.37/0.65 (define @t22 () (tptp.cC114 @t1)) % 0.37/0.65 (define @t23 () (tptp.cC12 @t1)) % 0.37/0.65 (define @t24 () (tptp.cC120 @t1)) % 0.37/0.65 (define @t25 () (tptp.cC122 @t1)) % 0.37/0.65 (define @t26 () (tptp.cC126 @t1)) % 0.37/0.65 (define @t27 () (tptp.cC130 @t1)) % 0.37/0.65 (define @t28 () (tptp.cC132 @t1)) % 0.37/0.65 (define @t29 () (tptp.cC134 @t1)) % 0.37/0.65 (define @t30 () (tptp.cC136 @t1)) % 0.37/0.65 (define @t31 () (tptp.cC14 @t1)) % 0.37/0.65 (define @t32 () (tptp.cC140 @t1)) % 0.37/0.65 (define @t33 () (tptp.cC142 @t1)) % 0.37/0.65 (define @t34 () (tptp.cC144 @t1)) % 0.37/0.65 (define @t35 () (tptp.cC148 @t1)) % 0.37/0.65 (define @t36 () (tptp.cC154 @t1)) % 0.37/0.65 (define @t37 () (tptp.cC156 @t1)) % 0.37/0.65 (define @t38 () (tptp.cC160 @t1)) % 0.37/0.65 (define @t39 () (tptp.cC164 @t1)) % 0.37/0.65 (define @t40 () (tptp.cC166 @t1)) % 0.37/0.65 (define @t41 () (tptp.cC170 @t1)) % 0.37/0.65 (define @t42 () (tptp.cC172 @t1)) % 0.37/0.65 (define @t43 () (tptp.cC176 @t1)) % 0.37/0.65 (define @t44 () (tptp.cC178 @t1)) % 0.37/0.65 (define @t45 () (tptp.cC18 @t1)) % 0.37/0.65 (define @t46 () (tptp.cC180 @t1)) % 0.37/0.65 (define @t47 () (tptp.cC184 @t1)) % 0.37/0.65 (define @t48 () (tptp.cC190 @t1)) % 0.37/0.65 (define @t49 () (tptp.cC192 @t1)) % 0.37/0.65 (define @t50 () (tptp.cC196 @t1)) % 0.37/0.65 (define @t51 () (tptp.cC200 @t1)) % 0.37/0.65 (define @t52 () (tptp.cC202 @t1)) % 0.37/0.65 (define @t53 () (tptp.cC204 @t1)) % 0.37/0.65 (define @t54 () (tptp.cC208 @t1)) % 0.37/0.65 (define @t55 () (tptp.cC212 @t1)) % 0.37/0.65 (define @t56 () (tptp.cC214 @t1)) % 0.37/0.65 (define @t57 () (tptp.cC64 @t1)) % 0.37/0.65 (define @t58 () (tptp.cC216 @t1)) % 0.37/0.65 (define @t59 () (tptp.cC22 @t1)) % 0.37/0.65 (define @t60 () (tptp.cC24 @t1)) % 0.37/0.65 (define @t61 () (tptp.cC26 @t1)) % 0.37/0.65 (define @t62 () (tptp.cC28 @t1)) % 0.37/0.65 (define @t63 () (tptp.cC30 @t1)) % 0.37/0.65 (define @t64 () (tptp.cC34 @t1)) % 0.37/0.65 (define @t65 () (tptp.cC32 @t1)) % 0.37/0.65 (define @t66 () (tptp.cC38 @t1)) % 0.37/0.65 (define @t67 () (tptp.cC4 @t1)) % 0.37/0.65 (define @t68 () (not @t65)) % 0.37/0.65 (define @t69 () (tptp.cC40 @t1)) % 0.37/0.65 (define @t70 () (tptp.cC42 @t1)) % 0.37/0.65 (define @t71 () (tptp.cC44 @t1)) % 0.37/0.65 (define @t72 () (tptp.cC46 @t1)) % 0.37/0.65 (define @t73 () (tptp.cC48 @t1)) % 0.37/0.65 (define @t74 () (tptp.cC50 @t1)) % 0.37/0.65 (define @t75 () (tptp.cC54 @t1)) % 0.37/0.65 (define @t76 () (tptp.cC58 @t1)) % 0.37/0.65 (define @t77 () (tptp.cC60 @t1)) % 0.37/0.65 (define @t78 () (tptp.cC62 @t1)) % 0.37/0.65 (define @t79 () (tptp.cC66 @t1)) % 0.37/0.65 (define @t80 () (tptp.cC70 @t1)) % 0.37/0.65 (define @t81 () (tptp.cC72 @t1)) % 0.37/0.65 (define @t82 () (tptp.cC74 @t1)) % 0.37/0.65 (define @t83 () (tptp.cC78 @t1)) % 0.37/0.65 (define @t84 () (tptp.cC84 @t1)) % 0.37/0.65 (define @t85 () (tptp.cC86 @t1)) % 0.37/0.65 (define @t86 () (tptp.cC90 @t1)) % 0.37/0.65 (define @t87 () (tptp.cC94 @t1)) % 0.37/0.65 (define @t88 () (tptp.cC96 @t1)) % 0.37/0.65 (define @t89 () (tptp.cC98 @t1)) % 0.37/0.65 (define @t90 () (tptp.cTEST tptp.iV3102)) % 0.37/0.65 (define @t91 () (tptp.cowlThing tptp.iV3102)) % 0.37/0.65 (define @t92 () (tptp.rR1 tptp.iV3102 @t1)) % 0.37/0.65 (define @t93 () (tptp.cTOP tptp.iV3102)) % 0.37/0.65 (define @t94 () (tptp.cC42 tptp.iV3102)) % 0.37/0.65 (define @t95 () (not @t94)) % 0.37/0.65 (define @t96 () (tptp.cC12 tptp.iV3102)) % 0.37/0.65 (define @t97 () (not @t96)) % 0.37/0.65 (define @t98 () (tptp.cC26 tptp.iV3102)) % 0.37/0.65 (define @t99 () (not @t98)) % 0.37/0.65 (define @t100 () (tptp.cC62 tptp.iV3102)) % 0.37/0.65 (define @t101 () (not @t100)) % 0.37/0.65 (define @t102 () (tptp.cC16 tptp.iV3102)) % 0.37/0.65 (define @t103 () (not @t102)) % 0.37/0.65 (define @t104 () (tptp.cC2 tptp.iV3102)) % 0.37/0.65 (define @t105 () (not @t104)) % 0.37/0.65 (define @t106 () (tptp.cC32 tptp.iV3102)) % 0.37/0.65 (define @t107 () (not @t106)) % 0.37/0.65 (define @t108 () (tptp.cC14 tptp.iV3102)) % 0.37/0.65 (define @t109 () (tptp.cC64 tptp.iV3102)) % 0.37/0.65 (define @t110 () (tptp.cC28 tptp.iV3102)) % 0.37/0.65 (define @t111 () (tptp.cC44 tptp.iV3102)) % 0.37/0.65 (define @t112 () (tptp.cC30 tptp.iV3102)) % 0.37/0.65 (define @t113 () (tptp.cC46 tptp.iV3102)) % 0.37/0.65 (define @t114 () (tptp.cC216 tptp.iV3102)) % 0.37/0.65 (define @t115 () (and @t5 @t6 @t114 @t113 @t112 @t111 @t110 @t109 @t108 @t91)) % 0.37/0.65 (define @t116 () (not @t115)) % 0.37/0.65 (define @t117 () (@list tptp.iV3102)) % 0.37/0.65 (define @t118 () (and @t97 @t105)) % 0.37/0.65 (define @t119 () (@list true true)) % 0.37/0.65 (define @t120 () (= @t108 @t118)) % 0.37/0.65 (define @t121 () (@list false false)) % 0.37/0.65 (define @t122 () (not @t93)) % 0.37/0.65 (define @t123 () (and @t101 @t93)) % 0.37/0.65 (define @t124 () (= @t109 @t123)) % 0.37/0.65 (define @t125 () (and @t99 @t103)) % 0.37/0.65 (define @t126 () (= @t110 @t125)) % 0.37/0.65 (define @t127 () (and @t107 @t95)) % 0.37/0.65 (define @t128 () (= @t111 @t127)) % 0.37/0.65 (define @t129 () (and @t114 @t113)) % 0.37/0.65 (define @t130 () (= @t90 @t129)) % 0.37/0.65 (define @t131 () (not @t129)) % 0.37/0.65 (define @t132 () (@list false)) % 0.37/0.65 (define @t133 () (@list @t129)) % 0.37/0.65 (define @t134 () (forall @t4 @t2)) % 0.37/0.65 (define @t135 () (@list @t1)) % 0.37/0.65 (define @t136 () (@var "BOUND_VARIABLE_8129" $$unsorted)) % 0.37/0.65 (define @t137 () (forall @t4 @t3)) % 0.37/0.65 (define @t138 () (@var "BOUND_VARIABLE_8124" $$unsorted)) % 0.37/0.65 (define @t139 () (and @t137 @t134)) % 0.37/0.65 (define @t140 () (forall (@list @t136) (not (tptp.cowlNothing @t136)))) % 0.37/0.65 (define @t141 () (forall (@list @t138) (tptp.cowlThing @t138))) % 0.37/0.65 (define @t142 () (not @t108)) % 0.37/0.65 (define @t143 () (not @t110)) % 0.37/0.65 (define @t144 () (not @t112)) % 0.37/0.65 (define @t145 () (and @t108 @t110)) % 0.37/0.65 (define @t146 () (= @t112 @t145)) % 0.37/0.65 (assume @p1 @t5) % 0.37/0.65 (assume @p2 @t6) % 0.37/0.65 (assume @p3 (forall @t4 (= @t10 (and (not @t9) @t8)))) % 0.37/0.65 (assume @p4 (forall @t4 (= @t14 (exists @t13 (and @t12 (not (tptp.cC98 @t11))))))) % 0.37/0.65 (assume @p5 (forall @t4 (= @t16 @t15))) % 0.37/0.65 (assume @p6 (forall @t4 (= (tptp.cC104 @t1) (and @t16 @t17)))) % 0.37/0.65 (assume @p7 (forall @t4 (= @t18 (exists @t13 (and @t12 (tptp.cC104 @t11)))))) % 0.37/0.65 (assume @p8 (forall @t4 (= @t20 (and (not @t18) @t19)))) % 0.37/0.65 (assume @p9 (forall @t4 (= @t21 @t15))) % 0.37/0.65 (assume @p10 (forall @t4 (= (tptp.cC112 @t1) (and @t21 @t17)))) % 0.37/0.65 (assume @p11 (forall @t4 (= @t22 (exists @t13 (and @t12 (tptp.cC112 @t11)))))) % 0.37/0.65 (assume @p12 (forall @t4 (= (tptp.cC116 @t1) (and @t19 (not @t22))))) % 0.37/0.65 (assume @p13 (forall @t4 (= (tptp.cC118 @t1) (exists @t13 (and @t12 (tptp.cC116 @t11)))))) % 0.37/0.65 (assume @p14 (forall @t4 (= @t23 (exists @t13 (and @t12 (tptp.cC10 @t11)))))) % 0.37/0.65 (assume @p15 (forall @t4 (= @t24 (exists @t13 (and @t12 (tptp.cC118 @t11)))))) % 0.37/0.65 (assume @p16 (forall @t4 (= @t25 @t15))) % 0.37/0.65 (assume @p17 (forall @t4 (= (tptp.cC124 @t1) (and @t25 @t17)))) % 0.37/0.65 (assume @p18 (forall @t4 (= @t26 (exists @t13 (and @t12 (tptp.cC124 @t11)))))) % 0.37/0.65 (assume @p19 (forall @t4 (= (tptp.cC128 @t1) (and @t19 (not @t26))))) % 0.37/0.65 (assume @p20 (forall @t4 (= @t27 (exists @t13 (and @t12 (tptp.cC128 @t11)))))) % 0.37/0.65 (assume @p21 (forall @t4 (= @t28 (and (not @t27) @t24)))) % 0.37/0.65 (assume @p22 (forall @t4 (= @t29 (and (not @t28) (not @t20))))) % 0.37/0.65 (assume @p23 (forall @t4 (= @t30 @t15))) % 0.37/0.65 (assume @p24 (forall @t4 (= (tptp.cC138 @t1) (and @t30 @t17)))) % 0.37/0.65 (assume @p25 (forall @t4 (= @t31 (and (not @t23) @t8)))) % 0.37/0.65 (assume @p26 (forall @t4 (= @t32 (exists @t13 (and @t12 (tptp.cC138 @t11)))))) % 0.37/0.65 (assume @p27 (forall @t4 (= @t33 (and (not @t32) @t19)))) % 0.37/0.65 (assume @p28 (forall @t4 (= @t34 @t15))) % 0.37/0.65 (assume @p29 (forall @t4 (= (tptp.cC146 @t1) (and @t34 @t17)))) % 0.37/0.65 (assume @p30 (forall @t4 (= @t35 (exists @t13 (and @t12 (tptp.cC146 @t11)))))) % 0.37/0.65 (assume @p31 (forall @t4 (= (tptp.cC150 @t1) (and @t19 (not @t35))))) % 0.37/0.65 (assume @p32 (forall @t4 (= (tptp.cC152 @t1) (exists @t13 (and @t12 (tptp.cC150 @t11)))))) % 0.37/0.65 (assume @p33 (forall @t4 (= @t36 (exists @t13 (and @t12 (tptp.cC152 @t11)))))) % 0.37/0.65 (assume @p34 (forall @t4 (= @t37 @t15))) % 0.37/0.65 (assume @p35 (forall @t4 (= (tptp.cC158 @t1) (and @t37 @t17)))) % 0.37/0.65 (assume @p36 (forall @t4 (= @t38 (exists @t13 (and @t12 (tptp.cC158 @t11)))))) % 0.37/0.65 (assume @p37 (forall @t4 (= (tptp.cC162 @t1) (and @t19 (not @t38))))) % 0.37/0.65 (assume @p38 (forall @t4 (= @t39 (exists @t13 (and @t12 (tptp.cC162 @t11)))))) % 0.37/0.65 (assume @p39 (forall @t4 (= @t40 (and @t36 (not @t39))))) % 0.37/0.65 (assume @p40 (forall @t4 (= (tptp.cC168 @t1) (and (not @t40) (not @t33))))) % 0.37/0.65 (assume @p41 (forall @t4 (= @t41 (exists @t13 (and @t12 (not (tptp.cC168 @t11))))))) % 0.37/0.65 (assume @p42 (forall @t4 (= @t42 @t15))) % 0.37/0.65 (assume @p43 (forall @t4 (= (tptp.cC174 @t1) (and @t42 @t17)))) % 0.37/0.65 (assume @p44 (forall @t4 (= @t43 (exists @t13 (and @t12 (tptp.cC174 @t11)))))) % 0.37/0.65 (assume @p45 (forall @t4 (= @t44 (and @t19 (not @t43))))) % 0.37/0.65 (assume @p46 (forall @t4 (= @t45 @t15))) % 0.37/0.65 (assume @p47 (forall @t4 (= @t46 @t15))) % 0.37/0.65 (assume @p48 (forall @t4 (= (tptp.cC182 @t1) (and @t17 @t46)))) % 0.37/0.65 (assume @p49 (forall @t4 (= @t47 (exists @t13 (and @t12 (tptp.cC182 @t11)))))) % 0.37/0.65 (assume @p50 (forall @t4 (= (tptp.cC186 @t1) (and @t19 (not @t47))))) % 0.37/0.65 (assume @p51 (forall @t4 (= (tptp.cC188 @t1) (exists @t13 (and @t12 (tptp.cC186 @t11)))))) % 0.37/0.65 (assume @p52 (forall @t4 (= @t48 (exists @t13 (and @t12 (tptp.cC188 @t11)))))) % 0.37/0.65 (assume @p53 (forall @t4 (= @t49 @t15))) % 0.37/0.65 (assume @p54 (forall @t4 (= (tptp.cC194 @t1) (and @t49 @t17)))) % 0.37/0.65 (assume @p55 (forall @t4 (= @t50 (exists @t13 (and @t12 (tptp.cC194 @t11)))))) % 0.37/0.65 (assume @p56 (forall @t4 (= (tptp.cC198 @t1) (and (not @t50) @t19)))) % 0.37/0.65 (assume @p57 (forall @t4 (= (tptp.cC20 @t1) (and @t45 @t17)))) % 0.37/0.65 (assume @p58 (forall @t4 (= @t51 (exists @t13 (and @t12 (tptp.cC198 @t11)))))) % 0.37/0.65 (assume @p59 (forall @t4 (= @t52 (and @t48 (not @t51))))) % 0.37/0.65 (assume @p60 (forall @t4 (= @t53 (and (not @t44) (not @t52))))) % 0.37/0.65 (assume @p61 (forall @t4 (= (tptp.cC206 @t1) (and @t41 @t53)))) % 0.37/0.65 (assume @p62 (forall @t4 (= @t54 (exists @t13 (and @t12 (tptp.cC206 @t11)))))) % 0.37/0.65 (assume @p63 (forall @t4 (= (tptp.cC210 @t1) (and (not @t54) (not @t29))))) % 0.37/0.65 (assume @p64 (forall @t4 (= @t55 (exists @t13 (and @t12 (tptp.cC210 @t11)))))) % 0.37/0.65 (assume @p65 (forall @t4 (= @t56 (and @t14 (not @t55))))) % 0.37/0.65 (assume @p66 (forall @t4 (= @t58 (and (not @t56) @t57)))) % 0.37/0.65 (assume @p67 (forall @t4 (= @t59 (exists @t13 (and @t12 (tptp.cC20 @t11)))))) % 0.37/0.65 (assume @p68 (forall @t4 (= @t60 (and (not @t59) @t19)))) % 0.37/0.65 (assume @p69 (forall @t4 (= @t61 (exists @t13 (and @t12 (tptp.cC24 @t11)))))) % 0.37/0.65 (assume @p70 (forall @t4 (= @t62 (and (not @t61) @t19)))) % 0.37/0.65 (assume @p71 (forall @t4 (= @t63 (and @t31 @t62)))) % 0.37/0.65 (assume @p72 (forall @t4 (= @t64 (exists @t13 (and @t12 (not (tptp.cC32 @t11))))))) % 0.37/0.65 (assume @p73 (forall @t4 (= (tptp.cC36 @t1) (and @t65 @t64)))) % 0.37/0.65 (assume @p74 (forall @t4 (= @t66 (exists @t13 (and @t12 (tptp.cC36 @t11)))))) % 0.37/0.65 (assume @p75 (forall @t4 (= @t67 (exists @t13 (and @t12 (not (tptp.cC2 @t11))))))) % 0.37/0.65 (assume @p76 (forall @t4 (= @t69 (and (not @t66) @t68)))) % 0.37/0.65 (assume @p77 (forall @t4 (= @t70 (exists @t13 (and @t12 (tptp.cC40 @t11)))))) % 0.37/0.65 (assume @p78 (forall @t4 (= @t71 (and @t68 (not @t70))))) % 0.37/0.65 (assume @p79 (forall @t4 (= @t72 (and @t63 @t71)))) % 0.37/0.65 (assume @p80 (forall @t4 (= @t73 @t15))) % 0.37/0.65 (assume @p81 (forall @t4 (= @t74 @t15))) % 0.37/0.65 (assume @p82 (forall @t4 (= (tptp.cC52 @t1) (and @t74 @t17)))) % 0.37/0.65 (assume @p83 (forall @t4 (= @t75 (exists @t13 (and @t12 (tptp.cC52 @t11)))))) % 0.37/0.65 (assume @p84 (forall @t4 (= (tptp.cC56 @t1) (and @t19 (not @t75))))) % 0.37/0.65 (assume @p85 (forall @t4 (= @t76 (exists @t13 (and @t12 (tptp.cC56 @t11)))))) % 0.37/0.65 (assume @p86 (forall @t4 (= (tptp.cC6 @t1) (and @t7 @t67)))) % 0.37/0.65 (assume @p87 (forall @t4 (= @t77 (and @t73 (not @t76))))) % 0.37/0.65 (assume @p88 (forall @t4 (= @t78 (exists @t13 (and @t12 (tptp.cC60 @t11)))))) % 0.37/0.65 (assume @p89 (forall @t4 (= @t57 (and (not @t78) (tptp.cTOP @t1))))) % 0.37/0.65 (assume @p90 (forall @t4 (= @t79 @t15))) % 0.37/0.65 (assume @p91 (forall @t4 (= (tptp.cC68 @t1) (and @t79 @t17)))) % 0.37/0.65 (assume @p92 (forall @t4 (= @t80 (exists @t13 (and @t12 (tptp.cC68 @t11)))))) % 0.37/0.65 (assume @p93 (forall @t4 (= @t81 (and (not @t80) @t19)))) % 0.37/0.65 (assume @p94 (forall @t4 (= @t82 @t15))) % 0.37/0.65 (assume @p95 (forall @t4 (= (tptp.cC76 @t1) (and @t82 @t17)))) % 0.37/0.65 (assume @p96 (forall @t4 (= @t83 (exists @t13 (and @t12 (tptp.cC76 @t11)))))) % 0.37/0.65 (assume @p97 (forall @t4 (= @t9 (exists @t13 (and @t12 (tptp.cC6 @t11)))))) % 0.37/0.65 (assume @p98 (forall @t4 (= (tptp.cC80 @t1) (and @t19 (not @t83))))) % 0.37/0.65 (assume @p99 (forall @t4 (= (tptp.cC82 @t1) (exists @t13 (and @t12 (tptp.cC80 @t11)))))) % 0.37/0.65 (assume @p100 (forall @t4 (= @t84 (exists @t13 (and @t12 (tptp.cC82 @t11)))))) % 0.37/0.65 (assume @p101 (forall @t4 (= @t85 @t15))) % 0.37/0.65 (assume @p102 (forall @t4 (= (tptp.cC88 @t1) (and @t85 @t17)))) % 0.37/0.65 (assume @p103 (forall @t4 (= @t86 (exists @t13 (and @t12 (tptp.cC88 @t11)))))) % 0.37/0.65 (assume @p104 (forall @t4 (= (tptp.cC92 @t1) (and (not @t86) @t19)))) % 0.37/0.65 (assume @p105 (forall @t4 (= @t87 (exists @t13 (and @t12 (tptp.cC92 @t11)))))) % 0.37/0.65 (assume @p106 (forall @t4 (= @t88 (and @t84 (not @t87))))) % 0.37/0.65 (assume @p107 (forall @t4 (= @t89 (and (not @t81) (not @t88))))) % 0.37/0.65 (assume @p108 (forall @t4 (= (tptp.cTEST @t1) (and @t58 @t72)))) % 0.37/0.65 (assume @p109 @t90) % 0.37/0.65 (assume @p110 @t91) % 0.37/0.65 (assume @p111 (forall @t4 (=> @t92 (not @t77)))) % 0.37/0.65 (assume @p112 (forall @t4 (=> @t92 (not @t10)))) % 0.37/0.65 (assume @p113 @t93) % 0.37/0.65 (assume @p114 (forall @t4 (=> @t92 (not @t60)))) % 0.37/0.65 (assume @p115 @t95) % 0.37/0.65 (assume @p116 @t97) % 0.37/0.65 (assume @p117 @t99) % 0.37/0.65 (assume @p118 (forall @t4 (=> @t92 @t89))) % 0.37/0.65 (assume @p119 (not (tptp.cC214 tptp.iV3102))) % 0.37/0.65 (assume @p120 @t101) % 0.37/0.65 (assume @p121 (forall @t4 (=> @t92 (not @t69)))) % 0.37/0.65 (assume @p122 @t103) % 0.37/0.65 (assume @p123 @t105) % 0.37/0.65 (assume @p124 @t107) % 0.37/0.65 (assume @p125 (not (tptp.cC100 tptp.iV3102))) % 0.37/0.65 (assume @p126 @t116) % 0.37/0.65 (assume @p127 true) % 0.37/0.65 (step @p128 :rule instantiate :premises (@p25) :args (@t117)) % 0.37/0.65 (step @p129 :rule bool-double-not-elim :args (@t104)) % 0.37/0.65 (step @p130 :rule bool-double-not-elim :args (@t96)) % 0.37/0.65 (step @p131 :rule refl :args (@t118)) % 0.37/0.65 (step @p132 :rule nary_cong :premises (@p131 @p130 @p129) :args ((or @t118 (not @t97) (not @t105)))) % 0.37/0.65 (step @p133 :rule cnf_and_neg :args (@t118)) % 0.37/0.65 (step @p134 :rule eq_resolve :premises (@p133 @p132)) % 0.37/0.65 (step @p135 :rule reordering :premises (@p134) :args ((or @t96 @t104 @t118))) % 0.37/0.65 (step @p136 :rule chain_m_resolution :premises (@p135 @p116 @p123) :args (@t118 @t119 (@list @t96 @t104))) % 0.37/0.65 (step @p137 :rule cnf_equiv_pos2 :args (@t120)) % 0.37/0.65 (step @p138 :rule reordering :premises (@p137) :args ((or @t108 (not @t118) (not @t120)))) % 0.37/0.65 (step @p139 :rule chain_m_resolution :premises (@p138 @p136 @p128) :args (@t108 @t121 (@list @t118 @t120))) % 0.37/0.65 (step @p140 :rule instantiate :premises (@p89) :args (@t117)) % 0.37/0.65 (step @p141 :rule refl :args (@t122)) % 0.37/0.65 (step @p142 :rule bool-double-not-elim :args (@t100)) % 0.37/0.65 (step @p143 :rule refl :args (@t123)) % 0.37/0.65 (step @p144 :rule nary_cong :premises (@p143 @p142 @p141) :args ((or @t123 (not @t101) @t122))) % 0.37/0.65 (step @p145 :rule cnf_and_neg :args (@t123)) % 0.37/0.65 (step @p146 :rule eq_resolve :premises (@p145 @p144)) % 0.37/0.65 (step @p147 :rule reordering :premises (@p146) :args ((or @t100 @t122 @t123))) % 0.37/0.65 (step @p148 :rule chain_m_resolution :premises (@p147 @p120 @p113) :args (@t123 (@list true false) (@list @t100 @t93))) % 0.37/0.65 (step @p149 :rule cnf_equiv_pos2 :args (@t124)) % 0.37/0.65 (step @p150 :rule reordering :premises (@p149) :args ((or @t109 (not @t123) (not @t124)))) % 0.37/0.65 (step @p151 :rule chain_m_resolution :premises (@p150 @p148 @p140) :args (@t109 @t121 (@list @t123 @t124))) % 0.37/0.65 (step @p152 :rule instantiate :premises (@p70) :args (@t117)) % 0.37/0.65 (step @p153 :rule bool-double-not-elim :args (@t102)) % 0.37/0.65 (step @p154 :rule bool-double-not-elim :args (@t98)) % 0.37/0.65 (step @p155 :rule refl :args (@t125)) % 0.37/0.65 (step @p156 :rule nary_cong :premises (@p155 @p154 @p153) :args ((or @t125 (not @t99) (not @t103)))) % 0.37/0.65 (step @p157 :rule cnf_and_neg :args (@t125)) % 0.37/0.65 (step @p158 :rule eq_resolve :premises (@p157 @p156)) % 0.37/0.65 (step @p159 :rule reordering :premises (@p158) :args ((or @t98 @t102 @t125))) % 0.37/0.65 (step @p160 :rule chain_m_resolution :premises (@p159 @p117 @p122) :args (@t125 @t119 (@list @t98 @t102))) % 0.37/0.65 (step @p161 :rule cnf_equiv_pos2 :args (@t126)) % 0.37/0.65 (step @p162 :rule reordering :premises (@p161) :args ((or @t110 (not @t125) (not @t126)))) % 0.37/0.65 (step @p163 :rule chain_m_resolution :premises (@p162 @p160 @p152) :args (@t110 @t121 (@list @t125 @t126))) % 0.37/0.65 (step @p164 :rule instantiate :premises (@p78) :args (@t117)) % 0.37/0.65 (step @p165 :rule bool-double-not-elim :args (@t94)) % 0.37/0.65 (step @p166 :rule bool-double-not-elim :args (@t106)) % 0.37/0.65 (step @p167 :rule refl :args (@t127)) % 0.37/0.65 (step @p168 :rule nary_cong :premises (@p167 @p166 @p165) :args ((or @t127 (not @t107) (not @t95)))) % 0.37/0.65 (step @p169 :rule cnf_and_neg :args (@t127)) % 0.37/0.65 (step @p170 :rule eq_resolve :premises (@p169 @p168)) % 0.37/0.65 (step @p171 :rule reordering :premises (@p170) :args ((or @t94 @t106 @t127))) % 0.37/0.65 (step @p172 :rule chain_m_resolution :premises (@p171 @p115 @p124) :args (@t127 @t119 (@list @t94 @t106))) % 0.37/0.65 (step @p173 :rule cnf_equiv_pos2 :args (@t128)) % 0.37/0.65 (step @p174 :rule reordering :premises (@p173) :args ((or @t111 (not @t127) (not @t128)))) % 0.37/0.65 (step @p175 :rule chain_m_resolution :premises (@p174 @p172 @p164) :args (@t111 @t121 (@list @t127 @t128))) % 0.37/0.65 (step @p176 :rule instantiate :premises (@p108) :args (@t117)) % 0.37/0.65 (step @p177 :rule cnf_equiv_pos1 :args (@t130)) % 0.37/0.65 (step @p178 :rule reordering :premises (@p177) :args ((or (not @t90) @t129 (not @t130)))) % 0.37/0.65 (step @p179 :rule chain_m_resolution :premises (@p178 @p109 @p176) :args (@t129 @t121 (@list @t90 @t130))) % 0.37/0.65 (step @p180 :rule cnf_and_pos :args (@t129 1)) % 0.37/0.65 (step @p181 :rule reordering :premises (@p180) :args ((or @t113 @t131))) % 0.37/0.65 (step @p182 :rule chain_m_resolution :premises (@p181 @p179) :args (@t113 @t132 @t133)) % 0.37/0.65 (step @p183 :rule cnf_and_pos :args (@t129 0)) % 0.37/0.65 (step @p184 :rule reordering :premises (@p183) :args ((or @t114 @t131))) % 0.37/0.65 (step @p185 :rule chain_m_resolution :premises (@p184 @p179) :args (@t114 @t132 @t133)) % 0.37/0.65 (step @p186 :rule alpha_equiv :args (@t134 @t135 (@list @t136))) % 0.37/0.65 (step @p187 :rule alpha_equiv :args (@t137 @t135 (@list @t138))) % 0.37/0.65 (step @p188 :rule nary_cong :premises (@p187 @p186) :args (@t139)) % 0.37/0.65 (step @p189 :rule quant-miniscope-and :args ((= @t5 @t139))) % 0.37/0.65 (step @p190 :rule trans :premises (@p189 @p188)) % 0.37/0.65 (step @p191 :rule eq_resolve :premises (@p1 @p190)) % 0.37/0.65 (step @p192 :rule and_elim :premises (@p191) :args (1)) % 0.37/0.65 (step @p193 :rule and_elim :premises (@p191) :args (0)) % 0.37/0.65 (step @p194 :rule aci_norm :args ((= (and (and @t141 @t140) @t6 @t114 @t113 @t112 @t111 @t110 @t109 @t108 @t91) (and @t6 @t114 @t113 @t112 @t111 @t110 @t109 @t108 @t91 @t141 @t140)))) % 0.37/0.65 (step @p195 :rule refl :args (@t91)) % 0.37/0.65 (step @p196 :rule refl :args (@t108)) % 0.37/0.65 (step @p197 :rule refl :args (@t109)) % 0.37/0.65 (step @p198 :rule refl :args (@t110)) % 0.37/0.65 (step @p199 :rule refl :args (@t111)) % 0.37/0.65 (step @p200 :rule refl :args (@t112)) % 0.37/0.65 (step @p201 :rule refl :args (@t113)) % 0.37/0.65 (step @p202 :rule refl :args (@t114)) % 0.37/0.65 (step @p203 :rule refl :args (@t6)) % 0.37/0.65 (step @p204 :rule nary_cong :premises (@p190 @p203 @p202 @p201 @p200 @p199 @p198 @p197 @p196 @p195) :args (@t115)) % 0.37/0.65 (step @p205 :rule trans :premises (@p204 @p194)) % 0.37/0.65 (step @p206 :rule cong :premises (@p205) :args (@t116)) % 0.37/0.65 (step @p207 :rule eq_resolve :premises (@p126 @p206)) % 0.37/0.65 (step @p208 :rule not_and :premises (@p207)) % 0.37/0.65 (step @p209 :rule reordering :premises (@p208) :args ((or (not @t141) (not @t140) (not @t6) (not @t91) (not @t114) (not @t113) @t144 (not @t111) @t143 (not @t109) @t142))) % 0.37/0.65 (step @p210 :rule chain_m_resolution :premises (@p209 @p193 @p192 @p2 @p110 @p185 @p182 @p175 @p163 @p151 @p139) :args (@t144 (@list false false false false false false false false false false) (@list @t141 @t140 @t6 @t91 @t114 @t113 @t111 @t110 @t109 @t108))) % 0.37/0.65 (step @p211 :rule cnf_and_neg :args (@t145)) % 0.37/0.65 (step @p212 :rule reordering :premises (@p211) :args ((or @t143 @t142 @t145))) % 0.37/0.65 (step @p213 :rule chain_m_resolution :premises (@p212 @p163 @p139) :args (@t145 @t121 (@list @t110 @t108))) % 0.37/0.66 (step @p214 :rule instantiate :premises (@p71) :args (@t117)) % 0.37/0.66 (step @p215 :rule cnf_equiv_pos2 :args (@t146)) % 0.37/0.66 (step @p216 :rule reordering :premises (@p215) :args ((or @t112 (not @t145) (not @t146)))) % 0.37/0.66 (step @p217 false :rule chain_m_resolution :premises (@p216 @p214 @p213 @p210) :args (false (@list false false true) (@list @t146 @t145 @t112))) % 0.37/0.66 ) % 0.37/0.66 % SZS output end Proof % 0.37/0.66 % cvc5 exiting %------------------------------------------------------------------------------