%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET065-6 : TPTP v9.2.1. Bugfixed v2.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n005.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 08:47:13 AM UTC 2026 % Result : Unsatisfiable 15.85s 16.07s % Output : Proof 15.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET065-6 : TPTP v9.2.1. Bugfixed v2.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n005.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 14:50:03 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/15.83 --- Run --no-e-matching --full-saturate-quant at 6... % 15.85/16.07 % SZS status Unsatisfiable % 15.85/16.07 % SZS output start Proof % 15.85/16.07 ( % 15.85/16.07 (declare-sort $$unsorted 0) % 15.85/16.07 (declare-const tptp.not_homomorphism2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.85/16.07 (declare-const tptp.compatible (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.85/16.07 (declare-const tptp.operation (-> $$unsorted Bool)) % 15.85/16.07 (declare-const tptp.cantor (-> $$unsorted $$unsorted)) % 15.85/16.07 (declare-const tptp.diagonalise (-> $$unsorted $$unsorted)) % 15.85/16.07 (declare-const tptp.regular (-> $$unsorted $$unsorted)) % 15.85/16.07 (declare-const tptp.function (-> $$unsorted Bool)) % 15.85/16.07 (declare-const tptp.single_valued_class (-> $$unsorted Bool)) % 15.85/16.07 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 15.85/16.07 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 15.85/16.07 (declare-const tptp.element_relation $$unsorted) % 15.85/16.07 (declare-const tptp.power_class (-> $$unsorted $$unsorted)) % 15.85/16.07 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 15.85/16.07 (declare-const tptp.second (-> $$unsorted $$unsorted)) % 15.85/16.07 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 15.85/16.07 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 15.85/16.07 (declare-const tptp.not_homomorphism1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.85/16.07 (declare-const tptp.universal_class $$unsorted) % 15.85/16.07 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 15.85/16.07 (declare-const tptp.restrict (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.85/16.07 (declare-const tptp.subclass (-> $$unsorted $$unsorted Bool)) % 15.85/16.07 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 15.85/16.07 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 15.85/16.07 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 15.85/16.07 (declare-const tptp.successor_relation $$unsorted) % 15.85/16.07 (declare-const tptp.choice $$unsorted) % 15.85/16.07 (declare-const tptp.symmetric_difference (-> $$unsorted $$unsorted $$unsorted)) % 15.85/16.07 (declare-const tptp.domain_of (-> $$unsorted $$unsorted)) % 15.85/16.07 (declare-const tptp.subset_relation $$unsorted) % 15.85/16.07 (declare-const tptp.null_class $$unsorted) % 15.85/16.07 (declare-const tptp.range_of (-> $$unsorted $$unsorted)) % 15.85/16.07 (declare-const tptp.omega $$unsorted) % 15.85/16.07 (declare-const tptp.homomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.85/16.07 (declare-const tptp.rotate (-> $$unsorted $$unsorted)) % 15.85/16.07 (declare-const tptp.range (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.85/16.07 (declare-const tptp.flip (-> $$unsorted $$unsorted)) % 15.85/16.07 (declare-const tptp.identity_relation $$unsorted) % 15.85/16.07 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 15.85/16.07 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 15.85/16.07 (declare-const tptp.image (-> $$unsorted $$unsorted $$unsorted)) % 15.85/16.07 (declare-const tptp.sum_class (-> $$unsorted $$unsorted)) % 15.85/16.07 (declare-const tptp.domain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.85/16.07 (declare-const tptp.not_subclass_element (-> $$unsorted $$unsorted $$unsorted)) % 15.85/16.07 (declare-const tptp.cross_product (-> $$unsorted $$unsorted $$unsorted)) % 15.85/16.07 (declare-const tptp.successor (-> $$unsorted $$unsorted)) % 15.85/16.07 (declare-const tptp.first (-> $$unsorted $$unsorted)) % 15.85/16.07 (declare-const tptp.inductive (-> $$unsorted Bool)) % 15.85/16.07 (define @t1 () (@var "Y" $$unsorted)) % 15.85/16.07 (define @t2 () (@var "U" $$unsorted)) % 15.85/16.07 (define @t3 () (@var "X" $$unsorted)) % 15.85/16.07 (define @t4 () (tptp.member @t2 @t3)) % 15.85/16.07 (define @t5 () (not @t4)) % 15.85/16.07 (define @t6 () (tptp.subclass @t3 @t1)) % 15.85/16.07 (define @t7 () (not @t6)) % 15.85/16.07 (define @t8 () (forall (@list @t3 @t1 @t2) (or @t7 @t5 (tptp.member @t2 @t1)))) % 15.85/16.07 (define @t9 () (tptp.not_subclass_element @t3 @t1)) % 15.85/16.07 (define @t10 () (@list @t3 @t1)) % 15.85/16.07 (define @t11 () (@list @t3)) % 15.85/16.07 (define @t12 () (= @t3 @t1)) % 15.85/16.07 (define @t13 () (not @t12)) % 15.85/16.07 (define @t14 () (tptp.subclass @t1 @t3)) % 15.85/16.07 (define @t15 () (tptp.unordered_pair @t3 @t1)) % 15.85/16.07 (define @t16 () (not (tptp.member @t3 tptp.universal_class))) % 15.85/16.07 (define @t17 () (not (tptp.member @t1 tptp.universal_class))) % 15.85/16.07 (define @t18 () (tptp.singleton @t3)) % 15.85/16.07 (define @t19 () (tptp.ordered_pair @t3 @t1)) % 15.85/16.07 (define @t20 () (tptp.singleton @t1)) % 15.85/16.07 (define @t21 () (tptp.cross_product @t3 @t1)) % 15.85/16.07 (define @t22 () (@var "V" $$unsorted)) % 15.85/16.07 (define @t23 () (tptp.ordered_pair @t2 @t22)) % 15.85/16.07 (define @t24 () (tptp.member @t23 @t21)) % 15.85/16.07 (define @t25 () (not @t24)) % 15.85/16.07 (define @t26 () (@list @t2 @t22 @t3 @t1)) % 15.85/16.07 (define @t27 () (tptp.member @t22 @t1)) % 15.85/16.07 (define @t28 () (@var "Z" $$unsorted)) % 15.85/16.07 (define @t29 () (@list @t28 @t3 @t1)) % 15.85/16.07 (define @t30 () (tptp.cross_product tptp.universal_class tptp.universal_class)) % 15.85/16.07 (define @t31 () (tptp.member @t3 @t1)) % 15.85/16.07 (define @t32 () (tptp.member @t19 tptp.element_relation)) % 15.85/16.07 (define @t33 () (not (tptp.member @t19 @t30))) % 15.85/16.07 (define @t34 () (tptp.member @t28 @t3)) % 15.85/16.07 (define @t35 () (tptp.intersection @t3 @t1)) % 15.85/16.07 (define @t36 () (tptp.member @t28 @t35)) % 15.85/16.07 (define @t37 () (not @t36)) % 15.85/16.07 (define @t38 () (tptp.member @t28 @t1)) % 15.85/16.07 (define @t39 () (not @t34)) % 15.85/16.07 (define @t40 () (tptp.complement @t3)) % 15.85/16.07 (define @t41 () (tptp.member @t28 @t40)) % 15.85/16.07 (define @t42 () (@list @t28 @t3)) % 15.85/16.07 (define @t43 () (not (tptp.member @t28 tptp.universal_class))) % 15.85/16.07 (define @t44 () (tptp.complement (tptp.intersection @t40 (tptp.complement @t1)))) % 15.85/16.07 (define @t45 () (@var "Xr" $$unsorted)) % 15.85/16.07 (define @t46 () (tptp.restrict @t45 @t3 @t1)) % 15.85/16.07 (define @t47 () (tptp.domain_of @t3)) % 15.85/16.07 (define @t48 () (tptp.member @t28 @t47)) % 15.85/16.07 (define @t49 () (= (tptp.restrict @t3 (tptp.singleton @t28) tptp.universal_class) tptp.null_class)) % 15.85/16.07 (define @t50 () (tptp.cross_product @t30 tptp.universal_class)) % 15.85/16.07 (define @t51 () (tptp.rotate @t3)) % 15.85/16.07 (define @t52 () (@var "W" $$unsorted)) % 15.85/16.07 (define @t53 () (tptp.member (tptp.ordered_pair (tptp.ordered_pair @t22 @t52) @t2) @t3)) % 15.85/16.07 (define @t54 () (tptp.ordered_pair @t23 @t52)) % 15.85/16.07 (define @t55 () (tptp.member @t54 @t51)) % 15.85/16.07 (define @t56 () (@list @t2 @t22 @t52 @t3)) % 15.85/16.07 (define @t57 () (not (tptp.member @t54 @t50))) % 15.85/16.07 (define @t58 () (tptp.flip @t3)) % 15.85/16.07 (define @t59 () (tptp.member (tptp.ordered_pair (tptp.ordered_pair @t22 @t2) @t52) @t3)) % 15.85/16.07 (define @t60 () (tptp.member @t54 @t58)) % 15.85/16.07 (define @t61 () (@list @t1)) % 15.85/16.07 (define @t62 () (tptp.successor @t3)) % 15.85/16.07 (define @t63 () (= @t62 @t1)) % 15.85/16.07 (define @t64 () (tptp.member @t19 tptp.successor_relation)) % 15.85/16.07 (define @t65 () (tptp.member tptp.null_class @t3)) % 15.85/16.07 (define @t66 () (tptp.inductive @t3)) % 15.85/16.07 (define @t67 () (not @t66)) % 15.85/16.07 (define @t68 () (tptp.subclass (tptp.image tptp.successor_relation @t3) @t3)) % 15.85/16.07 (define @t69 () (tptp.inductive tptp.omega)) % 15.85/16.07 (define @t70 () (tptp.sum_class @t3)) % 15.85/16.07 (define @t71 () (@var "Yr" $$unsorted)) % 15.85/16.07 (define @t72 () (tptp.compose @t71 @t45)) % 15.85/16.07 (define @t73 () (tptp.member @t28 (tptp.image @t71 (tptp.image @t45 @t20)))) % 15.85/16.07 (define @t74 () (tptp.ordered_pair @t1 @t28)) % 15.85/16.07 (define @t75 () (tptp.member @t74 @t72)) % 15.85/16.07 (define @t76 () (tptp.subclass (tptp.compose @t3 (tptp.inverse @t3)) tptp.identity_relation)) % 15.85/16.07 (define @t77 () (tptp.single_valued_class @t3)) % 15.85/16.07 (define @t78 () (@var "Xf" $$unsorted)) % 15.85/16.07 (define @t79 () (tptp.subclass @t78 @t30)) % 15.85/16.07 (define @t80 () (tptp.function @t78)) % 15.85/16.07 (define @t81 () (not @t80)) % 15.85/16.07 (define @t82 () (@list @t78)) % 15.85/16.07 (define @t83 () (tptp.inverse @t78)) % 15.85/16.07 (define @t84 () (tptp.subclass (tptp.compose @t78 @t83) tptp.identity_relation)) % 15.85/16.07 (define @t85 () (tptp.regular @t3)) % 15.85/16.07 (define @t86 () (= @t3 tptp.null_class)) % 15.85/16.07 (define @t87 () (tptp.one_to_one @t78)) % 15.85/16.07 (define @t88 () (not @t87)) % 15.85/16.07 (define @t89 () (tptp.function @t83)) % 15.85/16.07 (define @t90 () (tptp.inverse tptp.element_relation)) % 15.85/16.07 (define @t91 () (tptp.operation @t78)) % 15.85/16.07 (define @t92 () (not @t91)) % 15.85/16.07 (define @t93 () (tptp.domain_of @t78)) % 15.85/16.07 (define @t94 () (tptp.domain_of @t93)) % 15.85/16.07 (define @t95 () (= (tptp.cross_product @t94 @t94) @t93)) % 15.85/16.07 (define @t96 () (tptp.subclass (tptp.range_of @t78) @t94)) % 15.85/16.07 (define @t97 () (@var "Xh" $$unsorted)) % 15.85/16.07 (define @t98 () (tptp.function @t97)) % 15.85/16.07 (define @t99 () (@var "Xf2" $$unsorted)) % 15.85/16.07 (define @t100 () (@var "Xf1" $$unsorted)) % 15.85/16.07 (define @t101 () (tptp.compatible @t97 @t100 @t99)) % 15.85/16.07 (define @t102 () (not @t101)) % 15.85/16.07 (define @t103 () (@list @t97 @t100 @t99)) % 15.85/16.07 (define @t104 () (tptp.domain_of @t100)) % 15.85/16.07 (define @t105 () (= (tptp.domain_of @t104) (tptp.domain_of @t97))) % 15.85/16.07 (define @t106 () (tptp.subclass (tptp.range_of @t97) (tptp.domain_of (tptp.domain_of @t99)))) % 15.85/16.07 (define @t107 () (tptp.operation @t100)) % 15.85/16.07 (define @t108 () (tptp.homomorphism @t97 @t100 @t99)) % 15.85/16.07 (define @t109 () (not @t108)) % 15.85/16.07 (define @t110 () (tptp.operation @t99)) % 15.85/16.07 (define @t111 () (tptp.not_homomorphism2 @t97 @t100 @t99)) % 15.85/16.07 (define @t112 () (tptp.not_homomorphism1 @t97 @t100 @t99)) % 15.85/16.07 (define @t113 () (tptp.ordered_pair @t112 @t111)) % 15.85/16.07 (define @t114 () (not @t110)) % 15.85/16.07 (define @t115 () (not @t107)) % 15.85/16.07 (define @t116 () (@list @t100 @t99 @t97)) % 15.85/16.07 (define @t117 () (tptp.member tptp.null_class tptp.universal_class)) % 15.85/16.07 (define @t118 () (@list tptp.omega)) % 15.85/16.07 (define @t119 () (tptp.member tptp.null_class tptp.omega)) % 15.85/16.07 (define @t120 () (not @t69)) % 15.85/16.07 (define @t121 () (or @t120 @t119)) % 15.85/16.07 (define @t122 () (not @t119)) % 15.85/16.07 (define @t123 () (tptp.subclass tptp.omega tptp.universal_class)) % 15.85/16.07 (define @t124 () (not @t123)) % 15.85/16.07 (define @t125 () (or @t124 @t122 @t117)) % 15.85/16.07 (define @t126 () (not @t125)) % 15.85/16.07 (assume @p1 @t8) % 15.85/16.07 (assume @p2 (forall @t10 (or (tptp.member @t9 @t3) @t6))) % 15.85/16.07 (assume @p3 (forall @t10 (or (not (tptp.member @t9 @t1)) @t6))) % 15.85/16.07 (assume @p4 (forall @t11 (tptp.subclass @t3 tptp.universal_class))) % 15.85/16.07 (assume @p5 (forall @t10 (or @t13 @t6))) % 15.85/16.07 (assume @p6 (forall @t10 (or @t13 @t14))) % 15.85/16.07 (assume @p7 (forall @t10 (or @t7 (not @t14) @t12))) % 15.85/16.07 (assume @p8 (forall (@list @t2 @t3 @t1) (or (not (tptp.member @t2 @t15)) (= @t2 @t3) (= @t2 @t1)))) % 15.85/16.07 (assume @p9 (forall @t10 (or @t16 (tptp.member @t3 @t15)))) % 15.85/16.07 (assume @p10 (forall (@list @t1 @t3) (or @t17 (tptp.member @t1 @t15)))) % 15.85/16.07 (assume @p11 (forall @t10 (tptp.member @t15 tptp.universal_class))) % 15.85/16.07 (assume @p12 (forall @t11 (= (tptp.unordered_pair @t3 @t3) @t18))) % 15.85/16.07 (assume @p13 (forall @t10 (= (tptp.unordered_pair @t18 (tptp.unordered_pair @t3 @t20)) @t19))) % 15.85/16.07 (assume @p14 (forall @t26 (or @t25 @t4))) % 15.85/16.07 (assume @p15 (forall @t26 (or @t25 @t27))) % 15.85/16.07 (assume @p16 (forall (@list @t2 @t3 @t22 @t1) (or @t5 (not @t27) @t24))) % 15.85/16.07 (assume @p17 (forall @t29 (or (not (tptp.member @t28 @t21)) (= (tptp.ordered_pair (tptp.first @t28) (tptp.second @t28)) @t28)))) % 15.85/16.07 (assume @p18 (tptp.subclass tptp.element_relation @t30)) % 15.85/16.07 (assume @p19 (forall @t10 (or (not @t32) @t31))) % 15.85/16.07 (assume @p20 (forall @t10 (or @t33 (not @t31) @t32))) % 15.85/16.07 (assume @p21 (forall @t29 (or @t37 @t34))) % 15.85/16.07 (assume @p22 (forall @t29 (or @t37 @t38))) % 15.85/16.07 (assume @p23 (forall @t29 (or @t39 (not @t38) @t36))) % 15.85/16.07 (assume @p24 (forall @t42 (or (not @t41) @t39))) % 15.85/16.07 (assume @p25 (forall @t42 (or @t43 @t41 @t34))) % 15.85/16.07 (assume @p26 (forall @t10 (= @t44 (tptp.union @t3 @t1)))) % 15.85/16.07 (assume @p27 (forall @t10 (= (tptp.intersection (tptp.complement @t35) @t44) (tptp.symmetric_difference @t3 @t1)))) % 15.85/16.07 (assume @p28 (forall (@list @t45 @t3 @t1) (= (tptp.intersection @t45 @t21) @t46))) % 15.85/16.07 (assume @p29 (forall (@list @t3 @t1 @t45) (= (tptp.intersection @t21 @t45) @t46))) % 15.85/16.07 (assume @p30 (forall (@list @t3 @t28) (or (not @t49) (not @t48)))) % 15.85/16.07 (assume @p31 (forall @t42 (or @t43 @t49 @t48))) % 15.85/16.07 (assume @p32 (forall @t11 (tptp.subclass @t51 @t50))) % 15.85/16.07 (assume @p33 (forall @t56 (or (not @t55) @t53))) % 15.85/16.07 (assume @p34 (forall (@list @t22 @t52 @t2 @t3) (or (not @t53) @t57 @t55))) % 15.85/16.07 (assume @p35 (forall @t11 (tptp.subclass @t58 @t50))) % 15.85/16.07 (assume @p36 (forall @t56 (or (not @t60) @t59))) % 15.85/16.07 (assume @p37 (forall (@list @t22 @t2 @t52 @t3) (or (not @t59) @t57 @t60))) % 15.85/16.07 (assume @p38 (forall @t61 (= (tptp.domain_of (tptp.flip (tptp.cross_product @t1 tptp.universal_class))) (tptp.inverse @t1)))) % 15.85/16.07 (assume @p39 (forall (@list @t28) (= (tptp.domain_of (tptp.inverse @t28)) (tptp.range_of @t28)))) % 15.85/16.07 (assume @p40 (forall @t29 (= (tptp.first (tptp.not_subclass_element (tptp.restrict @t28 @t3 @t20) tptp.null_class)) (tptp.domain @t28 @t3 @t1)))) % 15.85/16.07 (assume @p41 (forall @t29 (= (tptp.second (tptp.not_subclass_element (tptp.restrict @t28 @t18 @t1) tptp.null_class)) (tptp.range @t28 @t3 @t1)))) % 15.85/16.07 (assume @p42 (forall (@list @t45 @t3) (= (tptp.range_of (tptp.restrict @t45 @t3 tptp.universal_class)) (tptp.image @t45 @t3)))) % 15.85/16.07 (assume @p43 (forall @t11 (= (tptp.union @t3 @t18) @t62))) % 15.85/16.07 (assume @p44 (tptp.subclass tptp.successor_relation @t30)) % 15.85/16.07 (assume @p45 (forall @t10 (or (not @t64) @t63))) % 15.85/16.07 (assume @p46 (forall @t10 (or (not @t63) @t33 @t64))) % 15.85/16.07 (assume @p47 (forall @t11 (or @t67 @t65))) % 15.85/16.07 (assume @p48 (forall @t11 (or @t67 @t68))) % 15.85/16.07 (assume @p49 (forall @t11 (or (not @t65) (not @t68) @t66))) % 15.85/16.07 (assume @p50 @t69) % 15.85/16.07 (assume @p51 (forall @t61 (or (not (tptp.inductive @t1)) (tptp.subclass tptp.omega @t1)))) % 15.85/16.07 (assume @p52 (tptp.member tptp.omega tptp.universal_class)) % 15.85/16.07 (assume @p53 (forall @t11 (= (tptp.domain_of (tptp.restrict tptp.element_relation tptp.universal_class @t3)) @t70))) % 15.85/16.07 (assume @p54 (forall @t11 (or @t16 (tptp.member @t70 tptp.universal_class)))) % 15.85/16.07 (assume @p55 (forall @t11 (= (tptp.complement (tptp.image tptp.element_relation @t40)) (tptp.power_class @t3)))) % 15.85/16.07 (assume @p56 (forall (@list @t2) (or (not (tptp.member @t2 tptp.universal_class)) (tptp.member (tptp.power_class @t2) tptp.universal_class)))) % 15.85/16.07 (assume @p57 (forall (@list @t71 @t45) (tptp.subclass @t72 @t30))) % 15.85/16.07 (assume @p58 (forall (@list @t1 @t28 @t71 @t45) (or (not @t75) @t73))) % 15.85/16.07 (assume @p59 (forall (@list @t28 @t71 @t45 @t1) (or (not @t73) (not (tptp.member @t74 @t30)) @t75))) % 15.85/16.07 (assume @p60 (forall @t11 (or (not @t77) @t76))) % 15.85/16.07 (assume @p61 (forall @t11 (or (not @t76) @t77))) % 15.85/16.07 (assume @p62 (forall @t82 (or @t81 @t79))) % 15.85/16.07 (assume @p63 (forall @t82 (or @t81 @t84))) % 15.85/16.07 (assume @p64 (forall @t82 (or (not @t79) (not @t84) @t80))) % 15.85/16.07 (assume @p65 (forall (@list @t78 @t3) (or @t81 @t16 (tptp.member (tptp.image @t78 @t3) tptp.universal_class)))) % 15.85/16.07 (assume @p66 (forall @t11 (or @t86 (tptp.member @t85 @t3)))) % 15.85/16.07 (assume @p67 (forall @t11 (or @t86 (= (tptp.intersection @t3 @t85) tptp.null_class)))) % 15.85/16.07 (assume @p68 (forall (@list @t78 @t1) (= (tptp.sum_class (tptp.image @t78 @t20)) (tptp.apply @t78 @t1)))) % 15.85/16.07 (assume @p69 (tptp.function tptp.choice)) % 15.85/16.07 (assume @p70 (forall @t61 (or @t17 (= @t1 tptp.null_class) (tptp.member (tptp.apply tptp.choice @t1) @t1)))) % 15.85/16.07 (assume @p71 (forall @t82 (or @t88 @t80))) % 15.85/16.07 (assume @p72 (forall @t82 (or @t88 @t89))) % 15.85/16.07 (assume @p73 (forall @t82 (or (not @t89) @t81 @t87))) % 15.85/16.07 (assume @p74 (= (tptp.intersection @t30 (tptp.intersection @t30 (tptp.complement (tptp.compose (tptp.complement tptp.element_relation) @t90)))) tptp.subset_relation)) % 15.85/16.07 (assume @p75 (= (tptp.intersection (tptp.inverse tptp.subset_relation) tptp.subset_relation) tptp.identity_relation)) % 15.85/16.07 (assume @p76 (forall (@list @t45) (= (tptp.complement (tptp.domain_of (tptp.intersection @t45 tptp.identity_relation))) (tptp.diagonalise @t45)))) % 15.85/16.07 (assume @p77 (forall @t11 (= (tptp.intersection @t47 (tptp.diagonalise (tptp.compose @t90 @t3))) (tptp.cantor @t3)))) % 15.85/16.07 (assume @p78 (forall @t82 (or @t92 @t80))) % 15.85/16.07 (assume @p79 (forall @t82 (or @t92 @t95))) % 15.85/16.07 (assume @p80 (forall @t82 (or @t92 @t96))) % 15.85/16.07 (assume @p81 (forall @t82 (or @t81 (not @t95) (not @t96) @t91))) % 15.85/16.07 (assume @p82 (forall @t103 (or @t102 @t98))) % 15.85/16.07 (assume @p83 (forall @t103 (or @t102 @t105))) % 15.85/16.07 (assume @p84 (forall @t103 (or @t102 @t106))) % 15.85/16.07 (assume @p85 (forall @t103 (or (not @t98) (not @t105) (not @t106) @t101))) % 15.85/16.07 (assume @p86 (forall @t103 (or @t109 @t107))) % 15.85/16.07 (assume @p87 (forall @t103 (or @t109 @t110))) % 15.85/16.07 (assume @p88 (forall @t103 (or @t109 @t101))) % 15.85/16.07 (assume @p89 (forall (@list @t97 @t100 @t99 @t3 @t1) (or @t109 (not (tptp.member @t19 @t104)) (= (tptp.apply @t99 (tptp.ordered_pair (tptp.apply @t97 @t3) (tptp.apply @t97 @t1))) (tptp.apply @t97 (tptp.apply @t100 @t19)))))) % 15.85/16.07 (assume @p90 (forall @t116 (or @t115 @t114 @t102 (tptp.member @t113 @t104) @t108))) % 15.85/16.07 (assume @p91 (forall @t116 (or @t115 @t114 @t102 (not (= (tptp.apply @t99 (tptp.ordered_pair (tptp.apply @t97 @t112) (tptp.apply @t97 @t111))) (tptp.apply @t97 (tptp.apply @t100 @t113)))) @t108))) % 15.85/16.07 (assume @p92 (not @t117)) % 15.85/16.07 (step @p93 :rule instantiate :premises (@p47) :args (@t118)) % 15.85/16.07 (step @p94 :rule cnf_or_pos :args (@t121)) % 15.85/16.07 (step @p95 :rule reordering :premises (@p94) :args ((or @t120 @t119 (not @t121)))) % 15.85/16.07 (step @p96 :rule chain_m_resolution :premises (@p95 @p50 @p93) :args (@t119 (@list false false) (@list @t69 @t121))) % 15.85/16.07 (step @p97 :rule instantiate :premises (@p4) :args (@t118)) % 15.85/16.07 (step @p98 :rule cnf_or_pos :args (@t125)) % 15.85/16.07 (step @p99 :rule reordering :premises (@p98) :args ((or @t117 @t124 @t122 @t126))) % 15.85/16.07 (step @p100 :rule chain_m_resolution :premises (@p99 @p92 @p97 @p96) :args (@t126 (@list true false false) (@list @t117 @t123 @t119))) % 15.85/16.07 (assume-push @p107 @t8) % 15.85/16.07 (step @p102 :rule instantiate :premises (@p1) :args ((@list tptp.omega tptp.universal_class tptp.null_class))) % 15.85/16.07 (step-pop @p108 :rule scope :premises (@p102)) % 15.85/16.07 (step @p103 :rule process_scope :premises (@p108) :args (@t125)) % 15.85/16.07 (step @p105 :rule implies_elim :premises (@p103)) % 15.85/16.07 (step @p106 false :rule chain_m_resolution :premises (@p105 @p100 @p1) :args (false (@list true false) (@list @t125 @t8))) % 15.85/16.07 ) % 15.85/16.08 % SZS output end Proof % 15.85/16.08 % cvc5 exiting %------------------------------------------------------------------------------