TSTP Solution File: SET882+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET882+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n024.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 14:40:52 EDT 2023
% Result : Theorem 10.36s 10.63s
% Output : Proof 10.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET882+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n024.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.20/0.35 % DateTime : Sat Aug 26 16:14:24 EDT 2023
% 0.20/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 10.36/10.63 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.YLuZQXx5mw/cvc5---1.0.5_13766.p...
% 10.36/10.63 ------- get file name : TPTP file name is SET882+1
% 10.36/10.63 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_13766.smt2...
% 10.36/10.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.36/10.63 --- Run --no-e-matching --full-saturate-quant at 5...
% 10.36/10.63 % SZS status Theorem for SET882+1
% 10.36/10.63 % SZS output start Proof for SET882+1
% 10.36/10.63 (
% 10.36/10.63 (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted)) (=> (not (= A B)) (= (tptp.set_difference (tptp.unordered_pair A B) (tptp.singleton B)) (tptp.singleton A))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= (tptp.set_difference (tptp.unordered_pair A B) C) (tptp.singleton A)) (and (not (tptp.in A C)) (or (tptp.in B C) (= A B))))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.singleton A)) (forall ((C $$unsorted)) (= (tptp.in C B) (= C A))))))) (let ((_let_4 (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_5 (= (tptp.set_difference (tptp.unordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) _let_4) (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_6 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_7 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_4))) (let ((_let_8 (or _let_7 _let_6))) (let ((_let_9 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_4))) (let ((_let_10 (not _let_9))) (let ((_let_11 (and _let_10 _let_8))) (let ((_let_12 (= _let_5 _let_11))) (let ((_let_13 (or _let_6 _let_5))) (let ((_let_14 (forall ((A $$unsorted) (B $$unsorted)) (or (= A B) (= (tptp.set_difference (tptp.unordered_pair A B) (tptp.singleton B)) (tptp.singleton A)))))) (let ((_let_15 (not _let_13))) (let ((_let_16 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_17 (or))) (let ((_let_18 (not _let_14))) (let ((_let_19 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_16) :args (_let_18))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_14))) (REFL :args (_let_15)) :args _let_17)) _let_16 :args (_let_15 true _let_14)))) (let ((_let_20 (_let_2))) (let ((_let_21 (ASSUME :args _let_20))) (let ((_let_22 (forall ((C $$unsorted)) (= (= C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) (tptp.in C (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))))) (let ((_let_23 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.singleton A)) (forall ((C $$unsorted)) (= (tptp.in C B) (= A C))))))) (let ((_let_24 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_25 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_24 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_4 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_23)))) _let_24 :args (_let_22 false _let_23)))) (let ((_let_26 (_let_22))) (let ((_let_27 (ASSUME :args _let_26))) (let ((_let_28 (= _let_6 _let_9))) (let ((_let_29 (not _let_8))) (let ((_let_30 (_let_11))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_12)) :args ((or _let_5 (not _let_11) (not _let_12)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_30) (CONG (REFL :args _let_30) (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_9))) (REFL :args (_let_29)) :args _let_17)) :args ((or _let_9 _let_11 _let_29))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_28)) :args ((or _let_6 _let_10 (not _let_28)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_13 0)) _let_19 :args ((not _let_6) true _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_ENUM)) :args _let_26)) _let_25 :args (_let_28 false _let_22)) :args (_let_10 true _let_6 false _let_28)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_8 0)) :args ((or (not _let_7) _let_8))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_27 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_26))) _let_25 :args (_let_7 false _let_22)) :args (_let_8 false _let_7)) :args (_let_11 true _let_9 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_20)) _let_21 :args (_let_12 false _let_2)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_13 1)) _let_19 :args ((not _let_5) true _let_13)) :args (false false _let_11 false _let_12 true _let_5)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.unordered_pair A B) (tptp.unordered_pair B A))) _let_3 _let_2 (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) _let_1 true)))))))))))))))))))))))))))))))))
% 10.36/10.63 )
% 10.36/10.63 % SZS output end Proof for SET882+1
% 10.36/10.63 % cvc5---1.0.5 exiting
% 10.36/10.63 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------