TSTP Solution File: SET983+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET983+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n009.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 14:41:14 EDT 2023
% Result : Theorem 11.15s 11.33s
% Output : Proof 11.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET983+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n009.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sat Aug 26 12:43:05 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 11.15/11.33 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.oNbaymnObg/cvc5---1.0.5_8804.p...
% 11.15/11.33 ------- get file name : TPTP file name is SET983+1
% 11.15/11.33 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_8804.smt2...
% 11.15/11.33 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 11.15/11.33 --- Run --no-e-matching --full-saturate-quant at 5...
% 11.15/11.33 % SZS status Theorem for SET983+1
% 11.15/11.33 % SZS output start Proof for SET983+1
% 11.15/11.33 (
% 11.15/11.33 (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (=> (and (tptp.in A (tptp.cartesian_product2 B C)) (tptp.in A (tptp.cartesian_product2 D E))) (tptp.in A (tptp.cartesian_product2 (tptp.set_intersection2 B D) (tptp.set_intersection2 C E)))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.cartesian_product2 (tptp.set_intersection2 A B) (tptp.set_intersection2 C D)) (tptp.set_intersection2 (tptp.cartesian_product2 A C) (tptp.cartesian_product2 B D)))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.set_intersection2 A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (and (tptp.in D A) (tptp.in D B)))))))) (let ((_let_4 (tptp.cartesian_product2 (tptp.set_intersection2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7) (tptp.set_intersection2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)))) (let ((_let_5 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_4))) (let ((_let_6 (tptp.cartesian_product2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_7 (tptp.cartesian_product2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_8 (tptp.set_intersection2 _let_7 _let_6))) (let ((_let_9 (= _let_4 _let_8))) (let ((_let_10 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_8))) (let ((_let_11 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_6))) (let ((_let_12 (not _let_11))) (let ((_let_13 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_7))) (let ((_let_14 (not _let_13))) (let ((_let_15 (or _let_14 _let_12 _let_5))) (let ((_let_16 (not _let_5))) (let ((_let_17 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (or (not (tptp.in A (tptp.cartesian_product2 B C))) (not (tptp.in A (tptp.cartesian_product2 D E))) (tptp.in A (tptp.cartesian_product2 (tptp.set_intersection2 B D) (tptp.set_intersection2 C E))))))) (let ((_let_18 (not _let_15))) (let ((_let_19 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_20 (or))) (let ((_let_21 (not _let_17))) (let ((_let_22 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_19) :args (_let_21))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_17))) (REFL :args (_let_18)) :args _let_20)) _let_19 :args (_let_18 true _let_17)))) (let ((_let_23 (_let_2))) (let ((_let_24 (ASSUME :args _let_23))) (let ((_let_25 (and _let_13 _let_11))) (let ((_let_26 (= _let_10 _let_25))) (let ((_let_27 (forall ((D $$unsorted)) (let ((_let_1 (tptp.cartesian_product2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_2 (tptp.cartesian_product2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (= (tptp.in D (tptp.set_intersection2 _let_2 _let_1)) (and (tptp.in D _let_2) (tptp.in D _let_1)))))))) (let ((_let_28 (_let_3))) (let ((_let_29 (ASSUME :args _let_28))) (let ((_let_30 (_let_27))) (let ((_let_31 (REFL :args (_let_15)))) (let ((_let_32 (ASSUME :args (_let_10)))) (let ((_let_33 (ASSUME :args (_let_9)))) (let ((_let_34 (ASSUME :args (_let_16)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_32 _let_33 _let_34) :args (_let_16 _let_9 _let_10)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_34)) (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (SYMM (SYMM _let_33)) :args (APPLY_UF tptp.in)) (TRUE_INTRO _let_32))) :args (_let_10 _let_9 _let_16)) :args ((not (and _let_16 _let_9 _let_10)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_5))) (REFL :args ((not _let_9))) (REFL :args ((not _let_10))) :args _let_20)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_26)) :args ((or _let_10 (not _let_25) (not _let_26)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_25)) :args ((or _let_14 _let_12 _let_25))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_15 0)) (CONG _let_31 (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_13))) :args _let_20)) :args ((or _let_13 _let_15))) _let_22 :args (_let_13 true _let_15)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_15 1)) (CONG _let_31 (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_11))) :args _let_20)) :args ((or _let_11 _let_15))) _let_22 :args (_let_11 true _let_15)) :args (_let_25 false _let_13 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_30) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_30)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_29 :args (_let_7 _let_6 _let_8 QUANTIFIERS_INST_CBQI_PROP)) :args _let_28))) _let_29 :args (_let_27 false _let_3)) :args (_let_26 false _let_27)) :args (_let_10 false _let_25 false _let_26)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_CBQI_PROP)) :args _let_23)) _let_24 :args (_let_9 false _let_2)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_15 2)) _let_22 :args (_let_16 true _let_15)) :args (false false _let_10 false _let_9 true _let_5)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_intersection2 A B) (tptp.set_intersection2 B A))) _let_3 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_intersection2 A A) A)) (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))
% 11.15/11.34 )
% 11.15/11.34 % SZS output end Proof for SET983+1
% 11.15/11.34 % cvc5---1.0.5 exiting
% 11.15/11.34 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------