%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS146+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 : n012.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 08:29:00 AM UTC 2026 % Result : Theorem 0.15s 0.39s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : KRS146+1 : TPTP v9.2.1. Released v3.1.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 05:28:18 EDT 2026 % 0.07/0.25 % CPUTime : % 0.15/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.39 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.15/0.39 % SZS status Theorem % 0.15/0.39 % SZS output start Proof % 0.15/0.39 ( % 0.15/0.39 (declare-sort $$unsorted 0) % 0.15/0.39 (declare-const tptp.iV822576 $$unsorted) % 0.15/0.39 (declare-const tptp.cTEST (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC94 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC90 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC88 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC86 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC84 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC82 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC76 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC72 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC70 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC68 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC66 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC62 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC60 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC40 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC124 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC92 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC2 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC126 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC64 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC110 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC116 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC98 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC24 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC114 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC96 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC128 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC44 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC112 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC118 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC130 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC46 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC104 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC10 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC30 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC136 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.rR1 (-> $$unsorted $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC52 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC100 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC102 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC106 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC78 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC12 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC32 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC54 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC4 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC80 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC140 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC22 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC50 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC134 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC138 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC8 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC14 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC74 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC108 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC16 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC18 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC6 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC20 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC42 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC26 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC28 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC120 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC36 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC122 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC38 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC132 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC48 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC34 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC56 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.cC58 (-> $$unsorted Bool)) % 0.15/0.39 (define @t1 () (@var "X" $$unsorted)) % 0.15/0.39 (define @t2 () (not (tptp.cowlNothing @t1))) % 0.15/0.39 (define @t3 () (tptp.cowlThing @t1)) % 0.15/0.39 (define @t4 () (@list @t1)) % 0.15/0.39 (define @t5 () (forall @t4 (and @t3 @t2))) % 0.15/0.39 (define @t6 () (forall @t4 (= (tptp.xsd_string @t1) (not (tptp.xsd_integer @t1))))) % 0.15/0.39 (define @t7 () (@var "Y" $$unsorted)) % 0.15/0.39 (define @t8 () (tptp.rR1 @t1 @t7)) % 0.15/0.39 (define @t9 () (@list @t7)) % 0.15/0.39 (define @t10 () (tptp.cC100 @t1)) % 0.15/0.39 (define @t11 () (tptp.cC34 @t1)) % 0.15/0.39 (define @t12 () (tptp.cC102 @t1)) % 0.15/0.39 (define @t13 () (tptp.cC4 @t1)) % 0.15/0.39 (define @t14 () (and @t11 @t13)) % 0.15/0.39 (define @t15 () (tptp.cC106 @t1)) % 0.15/0.39 (define @t16 () (not @t11)) % 0.15/0.39 (define @t17 () (tptp.cC108 @t1)) % 0.15/0.39 (define @t18 () (tptp.cC110 @t1)) % 0.15/0.39 (define @t19 () (tptp.cC112 @t1)) % 0.15/0.39 (define @t20 () (tptp.cC96 @t1)) % 0.15/0.39 (define @t21 () (tptp.cC114 @t1)) % 0.15/0.39 (define @t22 () (tptp.cC80 @t1)) % 0.15/0.39 (define @t23 () (tptp.cC116 @t1)) % 0.15/0.39 (define @t24 () (tptp.cC10 @t1)) % 0.15/0.39 (define @t25 () (not @t24)) % 0.15/0.39 (define @t26 () (and @t25 @t13)) % 0.15/0.39 (define @t27 () (tptp.cC118 @t1)) % 0.15/0.39 (define @t28 () (not @t13)) % 0.15/0.39 (define @t29 () (tptp.cC12 @t1)) % 0.15/0.39 (define @t30 () (tptp.cC122 @t1)) % 0.15/0.39 (define @t31 () (tptp.cC124 @t1)) % 0.15/0.39 (define @t32 () (tptp.cC128 @t1)) % 0.15/0.39 (define @t33 () (tptp.cC130 @t1)) % 0.15/0.39 (define @t34 () (tptp.cC2 @t1)) % 0.15/0.39 (define @t35 () (and @t28 @t34)) % 0.15/0.39 (define @t36 () (tptp.cC132 @t1)) % 0.15/0.39 (define @t37 () (tptp.cC134 @t1)) % 0.15/0.39 (define @t38 () (tptp.cC138 @t1)) % 0.15/0.39 (define @t39 () (tptp.cC8 @t1)) % 0.15/0.39 (define @t40 () (tptp.cC14 @t1)) % 0.15/0.39 (define @t41 () (tptp.cC74 @t1)) % 0.15/0.39 (define @t42 () (tptp.cC140 @t1)) % 0.15/0.39 (define @t43 () (tptp.cC16 @t1)) % 0.15/0.39 (define @t44 () (not @t43)) % 0.15/0.39 (define @t45 () (and @t44 @t34)) % 0.15/0.39 (define @t46 () (tptp.cC20 @t1)) % 0.15/0.39 (define @t47 () (tptp.cC22 @t1)) % 0.15/0.39 (define @t48 () (and @t43 @t34)) % 0.15/0.39 (define @t49 () (tptp.cC26 @t1)) % 0.15/0.39 (define @t50 () (tptp.cC28 @t1)) % 0.15/0.39 (define @t51 () (tptp.cC30 @t1)) % 0.15/0.39 (define @t52 () (tptp.cC32 @t1)) % 0.15/0.39 (define @t53 () (tptp.cC38 @t1)) % 0.15/0.39 (define @t54 () (tptp.cC40 @t1)) % 0.15/0.39 (define @t55 () (tptp.cC44 @t1)) % 0.15/0.39 (define @t56 () (tptp.cC46 @t1)) % 0.15/0.39 (define @t57 () (tptp.cC48 @t1)) % 0.15/0.39 (define @t58 () (tptp.cC50 @t1)) % 0.15/0.39 (define @t59 () (tptp.cC52 @t1)) % 0.15/0.39 (define @t60 () (tptp.cC54 @t1)) % 0.15/0.39 (define @t61 () (and @t13 @t25)) % 0.15/0.39 (define @t62 () (tptp.cC56 @t1)) % 0.15/0.39 (define @t63 () (tptp.cC6 @t1)) % 0.15/0.39 (define @t64 () (tptp.cC60 @t1)) % 0.15/0.39 (define @t65 () (tptp.cC62 @t1)) % 0.15/0.39 (define @t66 () (tptp.cC66 @t1)) % 0.15/0.39 (define @t67 () (tptp.cC68 @t1)) % 0.15/0.39 (define @t68 () (tptp.cC70 @t1)) % 0.15/0.39 (define @t69 () (tptp.cC72 @t1)) % 0.15/0.39 (define @t70 () (not @t34)) % 0.15/0.39 (define @t71 () (tptp.cC76 @t1)) % 0.15/0.39 (define @t72 () (tptp.cC78 @t1)) % 0.15/0.39 (define @t73 () (tptp.cC82 @t1)) % 0.15/0.39 (define @t74 () (tptp.cC84 @t1)) % 0.15/0.39 (define @t75 () (tptp.cC86 @t1)) % 0.15/0.39 (define @t76 () (tptp.cC88 @t1)) % 0.15/0.39 (define @t77 () (tptp.cC90 @t1)) % 0.15/0.39 (define @t78 () (tptp.cC92 @t1)) % 0.15/0.39 (define @t79 () (tptp.cC94 @t1)) % 0.15/0.39 (define @t80 () (tptp.cC98 @t1)) % 0.15/0.39 (define @t81 () (tptp.cC102 tptp.iV822576)) % 0.15/0.39 (define @t82 () (not @t81)) % 0.15/0.39 (define @t83 () (tptp.cC134 tptp.iV822576)) % 0.15/0.39 (define @t84 () (not @t83)) % 0.15/0.39 (define @t85 () (tptp.rR1 tptp.iV822576 @t1)) % 0.15/0.39 (define @t86 () (tptp.cC34 tptp.iV822576)) % 0.15/0.39 (define @t87 () (tptp.cC4 tptp.iV822576)) % 0.15/0.39 (define @t88 () (tptp.cC96 tptp.iV822576)) % 0.15/0.39 (define @t89 () (not @t88)) % 0.15/0.39 (define @t90 () (tptp.cC86 tptp.iV822576)) % 0.15/0.39 (define @t91 () (not @t90)) % 0.15/0.39 (define @t92 () (tptp.cC92 tptp.iV822576)) % 0.15/0.39 (define @t93 () (not @t92)) % 0.15/0.39 (define @t94 () (tptp.cC108 tptp.iV822576)) % 0.15/0.39 (define @t95 () (not @t94)) % 0.15/0.39 (define @t96 () (tptp.cowlThing tptp.iV822576)) % 0.15/0.39 (define @t97 () (tptp.cC10 tptp.iV822576)) % 0.15/0.39 (define @t98 () (not @t97)) % 0.15/0.39 (define @t99 () (tptp.cC76 tptp.iV822576)) % 0.15/0.39 (define @t100 () (not @t99)) % 0.15/0.39 (define @t101 () (tptp.cC112 tptp.iV822576)) % 0.15/0.39 (define @t102 () (not @t101)) % 0.15/0.39 (define @t103 () (tptp.cC78 tptp.iV822576)) % 0.15/0.39 (define @t104 () (not @t103)) % 0.15/0.39 (define @t105 () (tptp.cC80 tptp.iV822576)) % 0.15/0.39 (define @t106 () (tptp.cC136 tptp.iV822576)) % 0.15/0.39 (define @t107 () (tptp.cC114 tptp.iV822576)) % 0.15/0.39 (define @t108 () (tptp.cC110 tptp.iV822576)) % 0.15/0.39 (define @t109 () (tptp.cC56 tptp.iV822576)) % 0.15/0.39 (define @t110 () (tptp.cC116 tptp.iV822576)) % 0.15/0.39 (define @t111 () (tptp.cC58 tptp.iV822576)) % 0.15/0.39 (define @t112 () (tptp.cC94 tptp.iV822576)) % 0.15/0.39 (define @t113 () (and @t5 @t6 @t112 @t96 @t111 @t110 @t109 @t108 @t107 @t106 @t105)) % 0.15/0.39 (define @t114 () (not @t113)) % 0.15/0.39 (define @t115 () (@list tptp.iV822576)) % 0.15/0.39 (define @t116 () (and @t104 @t100)) % 0.15/0.39 (define @t117 () (@list true true)) % 0.15/0.39 (define @t118 () (= @t105 @t116)) % 0.15/0.39 (define @t119 () (@list false false)) % 0.15/0.39 (define @t120 () (and @t89 @t102)) % 0.15/0.39 (define @t121 () (= @t107 @t120)) % 0.15/0.39 (define @t122 () (and @t82 @t95)) % 0.15/0.39 (define @t123 () (= @t108 @t122)) % 0.15/0.39 (define @t124 () (not @t87)) % 0.15/0.39 (define @t125 () (and @t87 @t98)) % 0.15/0.39 (define @t126 () (@list true false)) % 0.15/0.39 (define @t127 () (= @t109 @t125)) % 0.15/0.39 (define @t128 () (and @t107 @t105)) % 0.15/0.39 (define @t129 () (not @t105)) % 0.15/0.39 (define @t130 () (not @t107)) % 0.15/0.39 (define @t131 () (= @t110 @t128)) % 0.15/0.39 (define @t132 () (and @t86 @t109)) % 0.15/0.39 (define @t133 () (not @t109)) % 0.15/0.39 (define @t134 () (= @t111 @t132)) % 0.15/0.39 (define @t135 () (and @t91 @t93)) % 0.15/0.39 (define @t136 () (= @t112 @t135)) % 0.15/0.39 (define @t137 () (forall @t4 @t2)) % 0.15/0.39 (define @t138 () (@list @t1)) % 0.15/0.39 (define @t139 () (@var "BOUND_VARIABLE_7881" $$unsorted)) % 0.15/0.39 (define @t140 () (forall @t4 @t3)) % 0.15/0.39 (define @t141 () (@var "BOUND_VARIABLE_7876" $$unsorted)) % 0.15/0.39 (define @t142 () (and @t140 @t137)) % 0.15/0.39 (define @t143 () (forall (@list @t139) (not (tptp.cowlNothing @t139)))) % 0.15/0.39 (define @t144 () (forall (@list @t141) (tptp.cowlThing @t141))) % 0.15/0.39 (define @t145 () (not @t106)) % 0.15/0.39 (define @t146 () (not @t110)) % 0.15/0.39 (define @t147 () (and @t110 @t84)) % 0.15/0.39 (define @t148 () (= @t106 @t147)) % 0.15/0.39 (assume @p1 @t5) % 0.15/0.39 (assume @p2 @t6) % 0.15/0.39 (assume @p3 (forall @t4 (= @t10 (exists @t9 (and @t8 (tptp.cC98 @t7)))))) % 0.15/0.39 (assume @p4 (forall @t4 (= @t12 (and @t11 @t10)))) % 0.15/0.39 (assume @p5 (forall @t4 (= (tptp.cC104 @t1) @t14))) % 0.15/0.39 (assume @p6 (forall @t4 (= @t15 (exists @t9 (and @t8 (tptp.cC104 @t7)))))) % 0.15/0.39 (assume @p7 (forall @t4 (= @t17 (and @t16 @t15)))) % 0.15/0.39 (assume @p8 (forall @t4 (= @t18 (and (not @t12) (not @t17))))) % 0.15/0.39 (assume @p9 (forall @t4 (= @t19 (and (not @t18) @t13)))) % 0.15/0.39 (assume @p10 (forall @t4 (= @t21 (and (not @t20) (not @t19))))) % 0.15/0.39 (assume @p11 (forall @t4 (= @t23 (and @t21 @t22)))) % 0.15/0.39 (assume @p12 (forall @t4 (= @t27 @t26))) % 0.15/0.39 (assume @p13 (forall @t4 (= @t29 (and @t24 @t28)))) % 0.15/0.39 (assume @p14 (forall @t4 (= (tptp.cC120 @t1) (and @t11 @t27)))) % 0.15/0.39 (assume @p15 (forall @t4 (= @t30 (exists @t9 (and @t8 (tptp.cC120 @t7)))))) % 0.15/0.39 (assume @p16 (forall @t4 (= @t31 @t26))) % 0.15/0.39 (assume @p17 (forall @t4 (= (tptp.cC126 @t1) (and @t16 @t31)))) % 0.15/0.39 (assume @p18 (forall @t4 (= @t32 (exists @t9 (and @t8 (tptp.cC126 @t7)))))) % 0.15/0.39 (assume @p19 (forall @t4 (= @t33 (and @t30 @t32)))) % 0.15/0.39 (assume @p20 (forall @t4 (= @t36 @t35))) % 0.15/0.39 (assume @p21 (forall @t4 (= @t37 (and (not @t33) @t36)))) % 0.15/0.39 (assume @p22 (forall @t4 (= (tptp.cC136 @t1) (and @t23 (not @t37))))) % 0.15/0.39 (assume @p23 (forall @t4 (= @t38 (exists @t9 (and @t8 (not (tptp.cC136 @t7))))))) % 0.15/0.39 (assume @p24 (forall @t4 (= @t40 (and (not @t39) (not @t29))))) % 0.15/0.39 (assume @p25 (forall @t4 (= @t42 (and (not @t38) @t41)))) % 0.15/0.39 (assume @p26 (forall @t4 (= (tptp.cC18 @t1) @t45))) % 0.15/0.39 (assume @p27 (forall @t4 (= @t46 (exists @t9 (and @t8 (tptp.cC18 @t7)))))) % 0.15/0.39 (assume @p28 (forall @t4 (= @t47 (and @t43 @t46)))) % 0.15/0.39 (assume @p29 (forall @t4 (= (tptp.cC24 @t1) @t48))) % 0.15/0.39 (assume @p30 (forall @t4 (= @t49 (exists @t9 (and @t8 (tptp.cC24 @t7)))))) % 0.15/0.39 (assume @p31 (forall @t4 (= @t50 (and @t44 @t49)))) % 0.15/0.39 (assume @p32 (forall @t4 (= @t51 (and (not @t50) (not @t47))))) % 0.15/0.39 (assume @p33 (forall @t4 (= @t52 (and (not @t51) @t34)))) % 0.15/0.39 (assume @p34 (forall @t4 (= (tptp.cC36 @t1) (and @t16 @t13)))) % 0.15/0.39 (assume @p35 (forall @t4 (= @t53 (exists @t9 (and @t8 (tptp.cC36 @t7)))))) % 0.15/0.39 (assume @p36 (forall @t4 (= @t54 (and @t11 @t53)))) % 0.15/0.39 (assume @p37 (forall @t4 (= (tptp.cC42 @t1) @t14))) % 0.15/0.39 (assume @p38 (forall @t4 (= @t55 (exists @t9 (and @t8 (tptp.cC42 @t7)))))) % 0.15/0.39 (assume @p39 (forall @t4 (= @t56 (and @t55 @t16)))) % 0.15/0.39 (assume @p40 (forall @t4 (= @t57 (and (not @t54) (not @t56))))) % 0.15/0.39 (assume @p41 (forall @t4 (= @t58 (and @t13 (not @t57))))) % 0.15/0.39 (assume @p42 (forall @t4 (= @t59 (and (not @t58) (not @t52))))) % 0.15/0.39 (assume @p43 (forall @t4 (= @t60 (and @t40 @t59)))) % 0.15/0.39 (assume @p44 (forall @t4 (= @t62 @t61))) % 0.15/0.39 (assume @p45 (forall @t4 (= (tptp.cC58 @t1) (and @t11 @t62)))) % 0.15/0.39 (assume @p46 (forall @t4 (= @t63 (and @t34 @t28)))) % 0.15/0.39 (assume @p47 (forall @t4 (= @t64 (exists @t9 (and @t8 (tptp.cC58 @t7)))))) % 0.15/0.39 (assume @p48 (forall @t4 (= @t65 @t61))) % 0.15/0.39 (assume @p49 (forall @t4 (= (tptp.cC64 @t1) (and @t65 @t16)))) % 0.15/0.39 (assume @p50 (forall @t4 (= @t66 (exists @t9 (and @t8 (tptp.cC64 @t7)))))) % 0.15/0.39 (assume @p51 (forall @t4 (= @t67 (and @t64 @t66)))) % 0.15/0.39 (assume @p52 (forall @t4 (= @t68 @t35))) % 0.15/0.39 (assume @p53 (forall @t4 (= @t69 (and (not @t67) @t68)))) % 0.15/0.39 (assume @p54 (forall @t4 (= @t41 (and @t60 (not @t69))))) % 0.15/0.39 (assume @p55 (forall @t4 (= @t71 (and @t70 @t13)))) % 0.15/0.39 (assume @p56 (forall @t4 (= @t72 (and @t28 @t24)))) % 0.15/0.39 (assume @p57 (forall @t4 (= @t39 (and @t13 @t70)))) % 0.15/0.39 (assume @p58 (forall @t4 (= @t22 (and (not @t72) (not @t71))))) % 0.15/0.39 (assume @p59 (forall @t4 (= @t73 @t45))) % 0.15/0.39 (assume @p60 (forall @t4 (= @t74 (exists @t9 (and @t8 (tptp.cC82 @t7)))))) % 0.15/0.39 (assume @p61 (forall @t4 (= @t75 (and @t43 @t74)))) % 0.15/0.39 (assume @p62 (forall @t4 (= @t76 @t48))) % 0.15/0.39 (assume @p63 (forall @t4 (= @t77 (exists @t9 (and @t8 (tptp.cC88 @t7)))))) % 0.15/0.39 (assume @p64 (forall @t4 (= @t78 (and @t77 @t44)))) % 0.15/0.39 (assume @p65 (forall @t4 (= @t79 (and (not @t75) (not @t78))))) % 0.15/0.39 (assume @p66 (forall @t4 (= @t20 (and (not @t79) @t34)))) % 0.15/0.39 (assume @p67 (forall @t4 (= @t80 (and @t13 @t16)))) % 0.15/0.39 (assume @p68 (forall @t4 (= (tptp.cTEST @t1) (and @t42 @t63)))) % 0.15/0.39 (assume @p69 (not (tptp.cC84 tptp.iV822576))) % 0.15/0.39 (assume @p70 (not (tptp.cC132 tptp.iV822576))) % 0.15/0.39 (assume @p71 @t82) % 0.15/0.39 (assume @p72 @t84) % 0.15/0.39 (assume @p73 (tptp.cC16 tptp.iV822576)) % 0.15/0.39 (assume @p74 (forall @t4 (=> @t85 (not @t76)))) % 0.15/0.39 (assume @p75 @t86) % 0.15/0.39 (assume @p76 @t87) % 0.15/0.39 (assume @p77 @t89) % 0.15/0.39 (assume @p78 @t91) % 0.15/0.39 (assume @p79 @t93) % 0.15/0.39 (assume @p80 @t95) % 0.15/0.39 (assume @p81 @t96) % 0.15/0.39 (assume @p82 (forall @t4 (=> @t85 (not @t80)))) % 0.15/0.39 (assume @p83 (not (tptp.cC90 tptp.iV822576))) % 0.15/0.39 (assume @p84 (not (tptp.cC100 tptp.iV822576))) % 0.15/0.39 (assume @p85 @t98) % 0.15/0.39 (assume @p86 (not (tptp.cC18 tptp.iV822576))) % 0.15/0.39 (assume @p87 @t100) % 0.15/0.39 (assume @p88 @t102) % 0.15/0.39 (assume @p89 @t104) % 0.15/0.39 (assume @p90 (tptp.cC2 tptp.iV822576)) % 0.15/0.39 (assume @p91 (forall @t4 (=> @t85 (not @t73)))) % 0.15/0.39 (assume @p92 @t114) % 0.15/0.39 (assume @p93 true) % 0.15/0.39 (step @p94 :rule instantiate :premises (@p58) :args (@t115)) % 0.15/0.39 (step @p95 :rule bool-double-not-elim :args (@t99)) % 0.15/0.39 (step @p96 :rule bool-double-not-elim :args (@t103)) % 0.15/0.39 (step @p97 :rule refl :args (@t116)) % 0.15/0.39 (step @p98 :rule nary_cong :premises (@p97 @p96 @p95) :args ((or @t116 (not @t104) (not @t100)))) % 0.15/0.39 (step @p99 :rule cnf_and_neg :args (@t116)) % 0.15/0.39 (step @p100 :rule eq_resolve :premises (@p99 @p98)) % 0.15/0.39 (step @p101 :rule reordering :premises (@p100) :args ((or @t99 @t103 @t116))) % 0.15/0.39 (step @p102 :rule chain_m_resolution :premises (@p101 @p87 @p89) :args (@t116 @t117 (@list @t99 @t103))) % 0.15/0.39 (step @p103 :rule cnf_equiv_pos2 :args (@t118)) % 0.15/0.39 (step @p104 :rule reordering :premises (@p103) :args ((or @t105 (not @t116) (not @t118)))) % 0.15/0.39 (step @p105 :rule chain_m_resolution :premises (@p104 @p102 @p94) :args (@t105 @t119 (@list @t116 @t118))) % 0.15/0.39 (step @p106 :rule instantiate :premises (@p10) :args (@t115)) % 0.15/0.39 (step @p107 :rule bool-double-not-elim :args (@t101)) % 0.15/0.39 (step @p108 :rule bool-double-not-elim :args (@t88)) % 0.15/0.39 (step @p109 :rule refl :args (@t120)) % 0.15/0.39 (step @p110 :rule nary_cong :premises (@p109 @p108 @p107) :args ((or @t120 (not @t89) (not @t102)))) % 0.15/0.39 (step @p111 :rule cnf_and_neg :args (@t120)) % 0.15/0.39 (step @p112 :rule eq_resolve :premises (@p111 @p110)) % 0.15/0.39 (step @p113 :rule reordering :premises (@p112) :args ((or @t88 @t101 @t120))) % 0.15/0.39 (step @p114 :rule chain_m_resolution :premises (@p113 @p77 @p88) :args (@t120 @t117 (@list @t88 @t101))) % 0.15/0.39 (step @p115 :rule cnf_equiv_pos2 :args (@t121)) % 0.15/0.39 (step @p116 :rule reordering :premises (@p115) :args ((or @t107 (not @t120) (not @t121)))) % 0.15/0.39 (step @p117 :rule chain_m_resolution :premises (@p116 @p114 @p106) :args (@t107 @t119 (@list @t120 @t121))) % 0.15/0.39 (step @p118 :rule instantiate :premises (@p8) :args (@t115)) % 0.15/0.39 (step @p119 :rule bool-double-not-elim :args (@t94)) % 0.15/0.39 (step @p120 :rule bool-double-not-elim :args (@t81)) % 0.15/0.39 (step @p121 :rule refl :args (@t122)) % 0.15/0.39 (step @p122 :rule nary_cong :premises (@p121 @p120 @p119) :args ((or @t122 (not @t82) (not @t95)))) % 0.15/0.39 (step @p123 :rule cnf_and_neg :args (@t122)) % 0.15/0.39 (step @p124 :rule eq_resolve :premises (@p123 @p122)) % 0.15/0.39 (step @p125 :rule reordering :premises (@p124) :args ((or @t81 @t94 @t122))) % 0.15/0.39 (step @p126 :rule chain_m_resolution :premises (@p125 @p71 @p80) :args (@t122 @t117 (@list @t81 @t94))) % 0.15/0.39 (step @p127 :rule cnf_equiv_pos2 :args (@t123)) % 0.15/0.39 (step @p128 :rule reordering :premises (@p127) :args ((or @t108 (not @t122) (not @t123)))) % 0.15/0.39 (step @p129 :rule chain_m_resolution :premises (@p128 @p126 @p118) :args (@t108 @t119 (@list @t122 @t123))) % 0.15/0.39 (step @p130 :rule instantiate :premises (@p44) :args (@t115)) % 0.15/0.39 (step @p131 :rule bool-double-not-elim :args (@t97)) % 0.15/0.39 (step @p132 :rule refl :args (@t124)) % 0.15/0.39 (step @p133 :rule refl :args (@t125)) % 0.15/0.39 (step @p134 :rule nary_cong :premises (@p133 @p132 @p131) :args ((or @t125 @t124 (not @t98)))) % 0.15/0.39 (step @p135 :rule cnf_and_neg :args (@t125)) % 0.15/0.39 (step @p136 :rule eq_resolve :premises (@p135 @p134)) % 0.15/0.39 (step @p137 :rule reordering :premises (@p136) :args ((or @t97 @t124 @t125))) % 0.15/0.39 (step @p138 :rule chain_m_resolution :premises (@p137 @p85 @p76) :args (@t125 @t126 (@list @t97 @t87))) % 0.15/0.39 (step @p139 :rule cnf_equiv_pos2 :args (@t127)) % 0.15/0.39 (step @p140 :rule reordering :premises (@p139) :args ((or @t109 (not @t125) (not @t127)))) % 0.15/0.39 (step @p141 :rule chain_m_resolution :premises (@p140 @p138 @p130) :args (@t109 @t119 (@list @t125 @t127))) % 0.15/0.39 (step @p142 :rule instantiate :premises (@p11) :args (@t115)) % 0.15/0.39 (step @p143 :rule cnf_and_neg :args (@t128)) % 0.15/0.39 (step @p144 :rule reordering :premises (@p143) :args ((or @t130 @t129 @t128))) % 0.15/0.39 (step @p145 :rule chain_m_resolution :premises (@p144 @p117 @p105) :args (@t128 @t119 (@list @t107 @t105))) % 0.15/0.39 (step @p146 :rule cnf_equiv_pos2 :args (@t131)) % 0.15/0.39 (step @p147 :rule reordering :premises (@p146) :args ((or @t110 (not @t128) (not @t131)))) % 0.15/0.39 (step @p148 :rule chain_m_resolution :premises (@p147 @p145 @p142) :args (@t110 @t119 (@list @t128 @t131))) % 0.15/0.39 (step @p149 :rule instantiate :premises (@p45) :args (@t115)) % 0.15/0.39 (step @p150 :rule cnf_and_neg :args (@t132)) % 0.15/0.39 (step @p151 :rule reordering :premises (@p150) :args ((or (not @t86) @t133 @t132))) % 0.15/0.39 (step @p152 :rule chain_m_resolution :premises (@p151 @p75 @p141) :args (@t132 @t119 (@list @t86 @t109))) % 0.15/0.39 (step @p153 :rule cnf_equiv_pos2 :args (@t134)) % 0.15/0.39 (step @p154 :rule reordering :premises (@p153) :args ((or @t111 (not @t132) (not @t134)))) % 0.15/0.39 (step @p155 :rule chain_m_resolution :premises (@p154 @p152 @p149) :args (@t111 @t119 (@list @t132 @t134))) % 0.15/0.39 (step @p156 :rule instantiate :premises (@p65) :args (@t115)) % 0.15/0.39 (step @p157 :rule bool-double-not-elim :args (@t92)) % 0.15/0.39 (step @p158 :rule bool-double-not-elim :args (@t90)) % 0.15/0.39 (step @p159 :rule refl :args (@t135)) % 0.15/0.39 (step @p160 :rule nary_cong :premises (@p159 @p158 @p157) :args ((or @t135 (not @t91) (not @t93)))) % 0.15/0.39 (step @p161 :rule cnf_and_neg :args (@t135)) % 0.15/0.39 (step @p162 :rule eq_resolve :premises (@p161 @p160)) % 0.15/0.39 (step @p163 :rule reordering :premises (@p162) :args ((or @t90 @t92 @t135))) % 0.15/0.39 (step @p164 :rule chain_m_resolution :premises (@p163 @p78 @p79) :args (@t135 @t117 (@list @t90 @t92))) % 0.15/0.39 (step @p165 :rule cnf_equiv_pos2 :args (@t136)) % 0.15/0.39 (step @p166 :rule reordering :premises (@p165) :args ((or @t112 (not @t135) (not @t136)))) % 0.15/0.39 (step @p167 :rule chain_m_resolution :premises (@p166 @p164 @p156) :args (@t112 @t119 (@list @t135 @t136))) % 0.15/0.39 (step @p168 :rule alpha_equiv :args (@t137 @t138 (@list @t139))) % 0.15/0.39 (step @p169 :rule alpha_equiv :args (@t140 @t138 (@list @t141))) % 0.15/0.39 (step @p170 :rule nary_cong :premises (@p169 @p168) :args (@t142)) % 0.15/0.39 (step @p171 :rule quant-miniscope-and :args ((= @t5 @t142))) % 0.15/0.39 (step @p172 :rule trans :premises (@p171 @p170)) % 0.15/0.39 (step @p173 :rule eq_resolve :premises (@p1 @p172)) % 0.15/0.39 (step @p174 :rule and_elim :premises (@p173) :args (1)) % 0.15/0.39 (step @p175 :rule and_elim :premises (@p173) :args (0)) % 0.15/0.39 (step @p176 :rule aci_norm :args ((= (and (and @t144 @t143) @t6 @t112 @t96 @t111 @t110 @t109 @t108 @t107 @t106 @t105) (and @t6 @t112 @t96 @t111 @t110 @t109 @t108 @t107 @t106 @t105 @t144 @t143)))) % 0.15/0.39 (step @p177 :rule refl :args (@t105)) % 0.15/0.39 (step @p178 :rule refl :args (@t106)) % 0.15/0.39 (step @p179 :rule refl :args (@t107)) % 0.15/0.39 (step @p180 :rule refl :args (@t108)) % 0.15/0.39 (step @p181 :rule refl :args (@t109)) % 0.15/0.39 (step @p182 :rule refl :args (@t110)) % 0.15/0.39 (step @p183 :rule refl :args (@t111)) % 0.15/0.39 (step @p184 :rule refl :args (@t96)) % 0.15/0.39 (step @p185 :rule refl :args (@t112)) % 0.15/0.39 (step @p186 :rule refl :args (@t6)) % 0.15/0.39 (step @p187 :rule nary_cong :premises (@p172 @p186 @p185 @p184 @p183 @p182 @p181 @p180 @p179 @p178 @p177) :args (@t113)) % 0.15/0.39 (step @p188 :rule trans :premises (@p187 @p176)) % 0.15/0.39 (step @p189 :rule cong :premises (@p188) :args (@t114)) % 0.15/0.39 (step @p190 :rule eq_resolve :premises (@p92 @p189)) % 0.15/0.39 (step @p191 :rule not_and :premises (@p190)) % 0.15/0.39 (step @p192 :rule reordering :premises (@p191) :args ((or (not @t144) (not @t143) (not @t6) (not @t96) (not @t112) (not @t111) @t146 @t133 (not @t108) @t130 @t145 @t129))) % 0.15/0.39 (step @p193 :rule chain_m_resolution :premises (@p192 @p175 @p174 @p2 @p81 @p167 @p155 @p148 @p141 @p129 @p117 @p105) :args (@t145 (@list false false false false false false false false false false false) (@list @t144 @t143 @t6 @t96 @t112 @t111 @t110 @t109 @t108 @t107 @t105))) % 0.15/0.39 (step @p194 :rule bool-double-not-elim :args (@t83)) % 0.15/0.39 (step @p195 :rule refl :args (@t146)) % 0.15/0.39 (step @p196 :rule refl :args (@t147)) % 0.15/0.39 (step @p197 :rule nary_cong :premises (@p196 @p195 @p194) :args ((or @t147 @t146 (not @t84)))) % 0.15/0.39 (step @p198 :rule cnf_and_neg :args (@t147)) % 0.15/0.39 (step @p199 :rule eq_resolve :premises (@p198 @p197)) % 0.15/0.39 (step @p200 :rule reordering :premises (@p199) :args ((or @t83 @t146 @t147))) % 0.15/0.39 (step @p201 :rule chain_m_resolution :premises (@p200 @p72 @p148) :args (@t147 @t126 (@list @t83 @t110))) % 0.15/0.39 (step @p202 :rule instantiate :premises (@p22) :args (@t115)) % 0.15/0.39 (step @p203 :rule cnf_equiv_pos2 :args (@t148)) % 0.15/0.39 (step @p204 :rule reordering :premises (@p203) :args ((or @t106 (not @t147) (not @t148)))) % 0.15/0.39 (step @p205 false :rule chain_m_resolution :premises (@p204 @p202 @p201 @p193) :args (false (@list false false true) (@list @t148 @t147 @t106))) % 0.15/0.39 ) % 0.15/0.39 % SZS output end Proof % 0.15/0.39 % cvc5 exiting %------------------------------------------------------------------------------