TSTP Solution File: SET047+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET047+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% 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 : Thu Aug 31 14:37:09 EDT 2023
% Result : Theorem 0.18s 0.50s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : SET047+1 : TPTP v8.1.2. Released v2.0.0.
% 0.06/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n003.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 13:24:54 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.18/0.47 %----Proving TF0_NAR, FOF, or CNF
% 0.18/0.50 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.7siR48PhLs/cvc5---1.0.5_31561.p...
% 0.18/0.50 ------- get file name : TPTP file name is SET047+1
% 0.18/0.50 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_31561.smt2...
% 0.18/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.18/0.50 % SZS status Theorem for SET047+1
% 0.18/0.50 % SZS output start Proof for SET047+1
% 0.18/0.50 (
% 0.18/0.50 (let ((_let_1 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.set_equal X Y) (tptp.set_equal Y X))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.set_equal X Y) (forall ((Z $$unsorted)) (= (tptp.element Z X) (tptp.element Z Y))))))) (let ((_let_4 (tptp.set_equal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_5 (tptp.set_equal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_6 (= _let_5 _let_4))) (let ((_let_7 (not _let_6))) (let ((_let_8 (_let_2))) (let ((_let_9 (ASSUME :args _let_8))) (let ((_let_10 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_9) :args _let_8)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args (_let_7)) :args (or))) _let_9 :args (_let_7 true _let_1)))) (let ((_let_11 (forall ((Z $$unsorted)) (= (tptp.element Z SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.element Z SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_12 (= _let_5 _let_11))) (let ((_let_13 (_let_3))) (let ((_let_14 (ASSUME :args _let_13))) (let ((_let_15 ((tptp.set_equal X Y)))) (let ((_let_16 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_15)) :args _let_13)) _let_14 :args (_let_12 false _let_3)))) (let ((_let_17 (= _let_4 _let_11))) (let ((_let_18 (not _let_12))) (let ((_let_19 (_let_12))) (let ((_let_20 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_14 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_15)) :args _let_13))) _let_14 :args (_let_17 false _let_3)))) (let ((_let_21 (not _let_17))) (let ((_let_22 (_let_17))) (let ((_let_23 (_let_6))) (let ((_let_24 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_23) :args ((or _let_5 _let_4 _let_6))) _let_10 (REORDERING (CNF_EQUIV_POS1 :args _let_22) :args ((or (not _let_4) _let_11 _let_21))) _let_20 (REORDERING (CNF_EQUIV_POS1 :args _let_19) :args ((or (not _let_5) _let_11 _let_18))) _let_16 :args (_let_11 true _let_6 true _let_4 false _let_17 true _let_5 false _let_12)))) (let ((_let_25 (not _let_11))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (CNF_EQUIV_NEG2 :args _let_23) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_22) :args ((or _let_4 _let_25 _let_21))) _let_24 _let_20 :args (_let_4 false _let_11 false _let_17)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_19) :args ((or _let_5 _let_25 _let_18))) _let_24 _let_16 :args (_let_5 false _let_11 false _let_12)) _let_10 :args (false false _let_4 false _let_5 true _let_6)) :args (_let_3 _let_2 true))))))))))))))))))))))))))))
% 0.18/0.50 )
% 0.18/0.50 % SZS output end Proof for SET047+1
% 0.18/0.50 % cvc5---1.0.5 exiting
% 0.18/0.50 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------