TSTP Solution File: SET947+1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET947+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n005.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 14:41:08 EDT 2023
% Result : Theorem 12.03s 12.24s
% Output : Proof 12.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : SET947+1 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.11 % Command : do_cvc5 %s %d
% 0.11/0.31 % Computer : n005.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Sat Aug 26 14:42:23 EDT 2023
% 0.11/0.31 % CPUTime :
% 0.16/0.43 %----Proving TF0_NAR, FOF, or CNF
% 12.03/12.24 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.N0Bi1N1h5V/cvc5---1.0.5_21532.p...
% 12.03/12.24 ------- get file name : TPTP file name is SET947+1
% 12.03/12.24 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_21532.smt2...
% 12.03/12.24 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 12.03/12.24 --- Run --no-e-matching --full-saturate-quant at 5...
% 12.03/12.24 % SZS status Theorem for SET947+1
% 12.03/12.24 % SZS output start Proof for SET947+1
% 12.03/12.24 (
% 12.03/12.24 (let ((_let_1 (forall ((A $$unsorted)) (tptp.subset A (tptp.powerset (tptp.union A)))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (tptp.subset A (tptp.union B)))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((C $$unsorted)) (=> (tptp.in C A) (tptp.in C B))))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.powerset A)) (forall ((C $$unsorted)) (= (tptp.in C B) (tptp.subset C A))))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.in A B)) (tptp.subset A (tptp.union B)))))) (let ((_let_7 (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_8 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_56 _let_7))) (let ((_let_9 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_56 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_10 (not _let_9))) (let ((_let_11 (or _let_10 _let_8))) (let ((_let_12 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_13 (not _let_11))) (let ((_let_14 (tptp.powerset _let_7))) (let ((_let_15 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_56 _let_14))) (let ((_let_16 (= _let_15 _let_8))) (let ((_let_17 (not _let_8))) (let ((_let_18 (forall ((C $$unsorted)) (let ((_let_1 (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (= (tptp.subset C _let_1) (tptp.in C (tptp.powerset _let_1))))))) (let ((_let_19 (_let_5))) (let ((_let_20 (ASSUME :args _let_19))) (let ((_let_21 (_let_18))) (let ((_let_22 (or _let_10 _let_15))) (let ((_let_23 (forall ((C $$unsorted)) (or (not (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (tptp.in C (tptp.powerset (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))))) (let ((_let_24 (not _let_22))) (let ((_let_25 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_14))) (let ((_let_26 (= _let_25 _let_23))) (let ((_let_27 (not _let_23))) (let ((_let_28 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((C $$unsorted)) (or (not (tptp.in C A)) (tptp.in C B))))))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (not _let_25))) (let ((_let_31 (_let_2))) (let ((_let_32 (ASSUME :args _let_31))) (let ((_let_33 (or))) (let ((_let_34 (_let_27))) (let ((_let_35 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_34)) :args _let_34)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_23))) (REFL :args (_let_24)) :args _let_33)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_26)) :args ((or _let_25 _let_27 (not _let_26)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_32) :args _let_31)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args (_let_30)) :args _let_33)) _let_32 :args (_let_30 true _let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_14 QUANTIFIERS_INST_ENUM)) :args (_let_28))) _let_29 :args (_let_26 false _let_28)) :args (_let_27 true _let_25 false _let_26)) :args (_let_24 true _let_23)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_12 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_56 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_6))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_11)) :args ((or _let_10 _let_8 _let_13))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_22 0)) (CONG (REFL :args (_let_22)) (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_9))) :args _let_33)) :args ((or _let_9 _let_22))) _let_35 :args (_let_9 true _let_22)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_16)) :args ((or _let_15 _let_17 (not _let_16)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_22 1)) _let_35 :args ((not _let_15) true _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_21) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_56 QUANTIFIERS_INST_ENUM)) :args _let_21))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_20 :args (_let_7 _let_14 QUANTIFIERS_INST_CBQI_PROP)) :args _let_19))) _let_20 :args (_let_18 false _let_5)) :args (_let_16 false _let_18)) :args (_let_17 true _let_15 false _let_16)) :args (_let_13 false _let_9 true _let_8)) _let_12 :args (false true _let_11 false _let_6)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) _let_5 _let_4 _let_3 (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A A)) _let_2 true))))))))))))))))))))))))))))))))))))))
% 12.03/12.25 )
% 12.03/12.25 % SZS output end Proof for SET947+1
% 12.03/12.25 % cvc5---1.0.5 exiting
% 12.03/12.25 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------