TSTP Solution File: SET877+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET877+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n020.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 14:40:51 EDT 2023
% Result : Theorem 10.45s 10.69s
% Output : Proof 10.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET877+1 : TPTP v8.1.2. Released v3.2.0.
% 0.14/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n020.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
% 0.14/0.35 % DateTime : Sat Aug 26 13:38:45 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.52 %----Proving TF0_NAR, FOF, or CNF
% 10.45/10.69 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.cw8xmpIkML/cvc5---1.0.5_29838.p...
% 10.45/10.69 ------- get file name : TPTP file name is SET877+1
% 10.45/10.69 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_29838.smt2...
% 10.45/10.69 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.45/10.69 --- Run --no-e-matching --full-saturate-quant at 5...
% 10.45/10.69 % SZS status Theorem for SET877+1
% 10.45/10.69 % SZS output start Proof for SET877+1
% 10.45/10.69 (
% 10.45/10.69 (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.singleton A))) (=> (= (tptp.set_intersection2 _let_1 (tptp.singleton B)) _let_1) (= A B))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.singleton B))) (=> (= (tptp.set_intersection2 A _let_1) _let_1) (tptp.in B A)))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.singleton A)) (forall ((C $$unsorted)) (= (tptp.in C B) (= C A))))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_intersection2 A B) (tptp.set_intersection2 B A))))) (let ((_let_5 (forall ((C $$unsorted)) (= (= C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) (tptp.in C (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))))) (let ((_let_6 (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_7 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_6))) (let ((_let_8 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_9 (= _let_8 _let_7))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.singleton A)) (forall ((C $$unsorted)) (= (tptp.in C B) (= A C))))))) (let ((_let_11 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_12 (not _let_9))) (let ((_let_13 (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_14 (tptp.set_intersection2 _let_6 _let_13))) (let ((_let_15 (= _let_13 _let_14))) (let ((_let_16 (not _let_15))) (let ((_let_17 (or _let_16 _let_7))) (let ((_let_18 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.singleton B))) (or (not (= _let_1 (tptp.set_intersection2 A _let_1))) (tptp.in B A)))))) (let ((_let_19 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_20 (tptp.set_intersection2 _let_13 _let_6))) (let ((_let_21 (= _let_20 _let_14))) (let ((_let_22 (= _let_13 _let_20))) (let ((_let_23 (_let_4))) (let ((_let_24 (ASSUME :args _let_23))) (let ((_let_25 (not _let_22))) (let ((_let_26 (or _let_25 _let_8))) (let ((_let_27 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.singleton A))) (or (not (= _let_1 (tptp.set_intersection2 _let_1 (tptp.singleton B)))) (= A B)))))) (let ((_let_28 (not _let_26))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (or))) (let ((_let_31 (not _let_27))) (let ((_let_32 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_29) :args (_let_31))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_27))) (REFL :args (_let_28)) :args _let_30)) _let_29 :args (_let_28 true _let_27)))) (let ((_let_33 (and _let_22 _let_21))) (let ((_let_34 (ASSUME :args (_let_21)))) (let ((_let_35 (ASSUME :args (_let_22)))) (let ((_let_36 (_let_5))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_36) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_36)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_9)) :args ((or _let_8 (not _let_7) _let_12))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_26 1)) _let_32 :args ((not _let_8) true _let_26)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_17)) :args ((or _let_7 _let_16 (not _let_17)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_33)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_34 _let_35) (SCOPE (TRANS (SYMM (SYMM _let_35)) (SYMM (SYMM _let_34))) :args (_let_21 _let_22))) :args (_let_22 _let_21))) :args (true _let_33)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_26 0)) (CONG (REFL :args (_let_26)) (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_22))) :args _let_30)) :args ((or _let_22 _let_26))) _let_32 :args (_let_22 true _let_26)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (_let_13 _let_6 QUANTIFIERS_INST_ENUM)) :args _let_23)) _let_24 :args (_let_21 false _let_4)) :args (_let_15 false _let_22 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (_let_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_18))) _let_19 :args (_let_17 false _let_18)) :args (_let_7 false _let_15 false _let_17)) :args (_let_12 true _let_8 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_11 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_6 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_10)))) _let_11 :args (_let_5 false _let_10)) :args (false true _let_9 false _let_5)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) _let_4 _let_3 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_intersection2 A A) A)) _let_2 (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) _let_1 true)))))))))))))))))))))))))))))))))))))))
% 10.45/10.69 )
% 10.45/10.69 % SZS output end Proof for SET877+1
% 10.45/10.69 % cvc5---1.0.5 exiting
% 10.45/10.69 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------