TSTP Solution File: SET978+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET978+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% 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 : Thu Aug 31 14:41:13 EDT 2023
% Result : Theorem 0.22s 0.54s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET978+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n005.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat Aug 26 08:12:08 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.54 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.XMLKpmPq8C/cvc5---1.0.5_21605.p...
% 0.22/0.54 ------- get file name : TPTP file name is SET978+1
% 0.22/0.54 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_21605.smt2...
% 0.22/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.54 % SZS status Theorem for SET978+1
% 0.22/0.54 % SZS output start Proof for SET978+1
% 0.22/0.54 (
% 0.22/0.54 (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted)) (=> (not (= A B)) (tptp.disjoint (tptp.singleton A) (tptp.singleton B)))))) (let ((_let_2 (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.singleton B))) (let ((_let_2 (tptp.singleton A))) (=> (not (= A B)) (and (tptp.disjoint (tptp.cartesian_product2 _let_2 C) (tptp.cartesian_product2 _let_1 D)) (tptp.disjoint (tptp.cartesian_product2 C _let_2) (tptp.cartesian_product2 D _let_1)))))))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (or (tptp.disjoint A B) (tptp.disjoint C D)) (tptp.disjoint (tptp.cartesian_product2 A C) (tptp.cartesian_product2 B D)))))) (let ((_let_4 (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_5 (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_6 (tptp.disjoint (tptp.cartesian_product2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_5) (tptp.cartesian_product2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_4)))) (let ((_let_7 (tptp.disjoint (tptp.cartesian_product2 _let_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) (tptp.cartesian_product2 _let_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_8 (and _let_7 _let_6))) (let ((_let_9 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_10 (or _let_9 _let_8))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.singleton B))) (let ((_let_2 (tptp.singleton A))) (or (= A B) (and (tptp.disjoint (tptp.cartesian_product2 _let_2 C) (tptp.cartesian_product2 _let_1 D)) (tptp.disjoint (tptp.cartesian_product2 C _let_2) (tptp.cartesian_product2 D _let_1))))))))) (let ((_let_12 (not _let_10))) (let ((_let_13 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_14 (not _let_11))) (let ((_let_15 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_13) :args (_let_14))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_11))) (REFL :args (_let_12)) :args (or))) _let_13 :args (_let_12 true _let_11)))) (let ((_let_16 (not (tptp.disjoint SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_17 (tptp.disjoint _let_5 _let_4))) (let ((_let_18 (not _let_17))) (let ((_let_19 (and _let_18 _let_16))) (let ((_let_20 (or _let_19 _let_7))) (let ((_let_21 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (and (not (tptp.disjoint A B)) (not (tptp.disjoint C D))) (tptp.disjoint (tptp.cartesian_product2 A C) (tptp.cartesian_product2 B D)))))) (let ((_let_22 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_23 (_let_21))) (let ((_let_24 ((not (= (tptp.disjoint (tptp.cartesian_product2 A C) (tptp.cartesian_product2 B D)) true))))) (let ((_let_25 (not _let_19))) (let ((_let_26 (or _let_9 _let_17))) (let ((_let_27 (forall ((A $$unsorted) (B $$unsorted)) (or (= A B) (tptp.disjoint (tptp.singleton A) (tptp.singleton B)))))) (let ((_let_28 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_29 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_9 _let_17 (not _let_26)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_10 0)) _let_15 :args ((not _let_9) true _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.disjoint (tptp.singleton A) (tptp.singleton B)) true))))) :args (_let_27))) _let_28 :args (_let_26 false _let_27)) :args (_let_17 true _let_9 false _let_26)))) (let ((_let_30 (and _let_16 _let_18))) (let ((_let_31 (or _let_30 _let_6))) (let ((_let_32 (not _let_30))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_8)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_6 _let_30 (not _let_31)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_30 1)) :args ((or _let_18 _let_32))) _let_29 :args (_let_32 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_5 _let_4 QUANTIFIERS_INST_E_MATCHING _let_24)) :args _let_23)) _let_22 :args (_let_31 false _let_21)) :args (_let_6 true _let_30 false _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_20)) :args ((or _let_7 _let_19 (not _let_20)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_19 0)) :args ((or _let_18 _let_25))) _let_29 :args (_let_25 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (_let_5 _let_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING _let_24)) :args _let_23)) _let_22 :args (_let_20 false _let_21)) :args (_let_7 true _let_19 false _let_20)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_10 1)) _let_15 :args ((not _let_8) true _let_10)) :args (false false _let_6 false _let_7 true _let_8)) :args ((exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.disjoint A B) (tptp.disjoint B A))) _let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))
% 0.22/0.54 )
% 0.22/0.54 % SZS output end Proof for SET978+1
% 0.22/0.54 % cvc5---1.0.5 exiting
% 0.22/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------