TSTP Solution File: SET045+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET045+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n007.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 14:37:07 EDT 2023
% Result : Theorem 0.15s 0.46s
% Output : Proof 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : SET045+1 : TPTP v8.1.2. Released v2.0.0.
% 0.06/0.11 % Command : do_cvc5 %s %d
% 0.10/0.30 % Computer : n007.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Sat Aug 26 10:24:56 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.15/0.43 %----Proving TF0_NAR, FOF, or CNF
% 0.15/0.46 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.9ctQzDPXR7/cvc5---1.0.5_13220.p...
% 0.15/0.46 ------- get file name : TPTP file name is SET045+1
% 0.15/0.46 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_13220.smt2...
% 0.15/0.46 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.15/0.46 % SZS status Theorem for SET045+1
% 0.15/0.46 % SZS output start Proof for SET045+1
% 0.15/0.46 (
% 0.15/0.46 (let ((_let_1 (not (not (exists ((Z $$unsorted)) (forall ((X $$unsorted)) (tptp.element X Z))))))) (let ((_let_2 (forall ((Z $$unsorted)) (exists ((Y $$unsorted)) (forall ((X $$unsorted)) (= (tptp.element X Y) (and (tptp.element X Z) (not (tptp.element X X))))))))) (let ((_let_3 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_4 (not _let_3))) (let ((_let_5 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_6 (and _let_5 _let_4))) (let ((_let_7 (= _let_3 _let_6))) (let ((_let_8 (forall ((X $$unsorted)) (= (and (tptp.element X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (not (tptp.element X X))) (tptp.element X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))))) (let ((_let_9 (forall ((Y $$unsorted)) (not (forall ((X $$unsorted)) (= (tptp.element X Y) (and (tptp.element X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (not (tptp.element X X))))))))) (let ((_let_10 (forall ((Z $$unsorted)) (not (forall ((Y $$unsorted)) (not (forall ((X $$unsorted)) (= (tptp.element X Y) (and (tptp.element X Z) (not (tptp.element X X))))))))))) (let ((_let_11 (not _let_9))) (let ((_let_12 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_13 (or))) (let ((_let_14 (_let_8))) (let ((_let_15 (_let_11))) (let ((_let_16 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_ENUM))) (let ((_let_17 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_14) :args _let_16) :args _let_14))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_15)) :args _let_15) (REWRITE :args ((=> _let_11 (not (not (forall ((X $$unsorted)) (= (tptp.element X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11) (and (tptp.element X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (not (tptp.element X X)))))))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_9))) (REFL :args _let_14) :args _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_12 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args (_let_10))) _let_12 :args (_let_11 false _let_10)) :args (_let_8 true _let_9)) :args (_let_7 false _let_8)))) (let ((_let_18 (not _let_7))) (let ((_let_19 (_let_7))) (let ((_let_20 (forall ((X $$unsorted)) (tptp.element X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_21 (forall ((Z $$unsorted)) (not (forall ((X $$unsorted)) (tptp.element X Z)))))) (let ((_let_22 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_23 (_let_20))) (let ((_let_24 (not _let_21))) (let ((_let_25 (not _let_5))) (let ((_let_26 (_let_6))) (let ((_let_27 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_26) (CONG (REFL :args _let_26) (REFL :args (_let_25)) (MACRO_SR_PRED_INTRO :args ((= (not _let_4) _let_3))) :args _let_13)) :args ((or _let_3 _let_6 _let_25))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_23) :args _let_16) :args _let_23)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_22) :args (_let_24)) (REWRITE :args ((=> _let_24 (not (not _let_20))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_21))) (REFL :args _let_23) :args _let_13)) _let_22 :args (_let_20 true _let_21)) :args (_let_5 false _let_20)) (REORDERING (CNF_EQUIV_POS1 :args _let_19) :args ((or _let_4 _let_6 _let_18))) _let_17 :args (_let_6 false _let_5 true _let_3 false _let_7)))) (let ((_let_28 (not _let_6))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_19) :args ((or _let_3 _let_28 _let_18))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_6 1)) :args ((or _let_4 _let_28))) _let_27 :args (_let_4 false _let_6)) _let_27 _let_17 :args (false true _let_3 false _let_6 false _let_7)) :args (_let_2 _let_1 true)))))))))))))))))))))))))))))))
% 0.15/0.47 )
% 0.15/0.47 % SZS output end Proof for SET045+1
% 0.15/0.47 % cvc5---1.0.5 exiting
% 0.15/0.47 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------