TSTP Solution File: SET893+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET893+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n010.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 14:40:54 EDT 2023
% Result : Theorem 10.30s 10.66s
% Output : Proof 10.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SET893+1 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.13 % Command : do_cvc5 %s %d
% 0.10/0.33 % Computer : n010.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Sat Aug 26 14:54:35 EDT 2023
% 0.10/0.33 % CPUTime :
% 0.16/0.44 %----Proving TF0_NAR, FOF, or CNF
% 10.30/10.66 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.2RhiBn6GPZ/cvc5---1.0.5_32526.p...
% 10.30/10.66 ------- get file name : TPTP file name is SET893+1
% 10.30/10.66 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_32526.smt2...
% 10.30/10.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.30/10.66 --- Run --no-e-matching --full-saturate-quant at 5...
% 10.30/10.66 % SZS status Theorem for SET893+1
% 10.30/10.66 % SZS output start Proof for SET893+1
% 10.30/10.66 (
% 10.30/10.66 (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.in (tptp.ordered_pair A B) (tptp.cartesian_product2 (tptp.singleton C) (tptp.singleton D))) (and (= A C) (= B D)))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.in (tptp.ordered_pair A B) (tptp.cartesian_product2 C D)) (and (tptp.in A C) (tptp.in B D)))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.singleton A)) (forall ((C $$unsorted)) (= (tptp.in C B) (= C A))))))) (let ((_let_5 (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_6 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_5))) (let ((_let_7 (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_8 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_7))) (let ((_let_9 (and _let_8 _let_6))) (let ((_let_10 (tptp.in (tptp.ordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) (tptp.cartesian_product2 _let_7 _let_5)))) (let ((_let_11 (= _let_10 _let_9))) (let ((_let_12 (not _let_9))) (let ((_let_13 (_let_3))) (let ((_let_14 (ASSUME :args _let_13))) (let ((_let_15 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_7 _let_5 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_13)) _let_14 :args (_let_11 false _let_3)))) (let ((_let_16 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_17 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_18 (and _let_17 _let_16))) (let ((_let_19 (= _let_10 _let_18))) (let ((_let_20 (= _let_17 _let_8))) (let ((_let_21 (= _let_16 _let_6))) (let ((_let_22 (not _let_10))) (let ((_let_23 (not _let_19))) (let ((_let_24 (_let_2))) (let ((_let_25 (ASSUME :args _let_24))) (let ((_let_26 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_25) :args _let_24)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args (_let_23)) :args (or))) _let_25 :args (_let_23 true _let_1)))) (let ((_let_27 (_let_19))) (let ((_let_28 (not _let_11))) (let ((_let_29 (_let_11))) (let ((_let_30 (forall ((C $$unsorted)) (= (= C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) (tptp.in C (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))))) (let ((_let_31 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.singleton A)) (forall ((C $$unsorted)) (= (tptp.in C B) (= A C))))))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_33 (_let_31))) (let ((_let_34 (_let_30))) (let ((_let_35 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_34) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_32 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_7 QUANTIFIERS_INST_CBQI_PROP)) :args _let_33))) _let_32 :args (_let_30 false _let_31)) :args (_let_20 false _let_30)))) (let ((_let_36 (not _let_20))) (let ((_let_37 (not _let_8))) (let ((_let_38 (_let_20))) (let ((_let_39 (forall ((C $$unsorted)) (= (= C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7) (tptp.in C (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))))) (let ((_let_40 (_let_39))) (let ((_let_41 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_40) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_32 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_5 QUANTIFIERS_INST_CBQI_PROP)) :args _let_33))) _let_32 :args (_let_39 false _let_31)) :args (_let_21 false _let_39)))) (let ((_let_42 (not _let_21))) (let ((_let_43 (not _let_6))) (let ((_let_44 (_let_21))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_18)) (REORDERING (CNF_EQUIV_POS2 :args _let_44) :args ((or _let_16 _let_43 _let_42))) _let_41 (REORDERING (CNF_EQUIV_POS2 :args _let_38) :args ((or _let_17 _let_37 _let_36))) _let_35 (REORDERING (CNF_AND_POS :args (_let_9 1)) :args ((or _let_6 _let_12))) (REORDERING (CNF_AND_POS :args (_let_9 0)) :args ((or _let_8 _let_12))) (REORDERING (CNF_EQUIV_POS1 :args _let_29) :args ((or _let_22 _let_9 _let_28))) _let_15 (CNF_EQUIV_NEG2 :args _let_27) _let_26 :args (_let_22 false _let_16 false _let_21 false _let_17 false _let_20 false _let_6 false _let_8 false _let_9 false _let_11 true _let_18 true _let_19)))) (let ((_let_46 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_27) :args ((or _let_10 _let_18 _let_19))) _let_45 _let_26 :args (_let_18 true _let_10 true _let_19)))) (let ((_let_47 (not _let_18))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_9)) :args ((or _let_43 _let_37 _let_9))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_44) :args ((or (not _let_16) _let_6 _let_42))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_18 1)) :args ((or _let_16 _let_47))) _let_46 :args (_let_16 false _let_18)) _let_41 :args (_let_6 false _let_16 false _let_21)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_38) :args ((or (not _let_17) _let_8 _let_36))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_18 0)) :args ((or _let_17 _let_47))) _let_46 :args (_let_17 false _let_18)) _let_35 :args (_let_8 false _let_17 false _let_20)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_29) :args ((or _let_10 _let_12 _let_28))) _let_45 _let_15 :args (_let_12 true _let_10 false _let_11)) :args (false false _let_6 false _let_8 true _let_9)) :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_4 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.ordered_pair A B) (tptp.unordered_pair (tptp.unordered_pair A B) (tptp.singleton A)))) (forall ((A $$unsorted) (B $$unsorted)) (not (tptp.empty (tptp.ordered_pair A B)))) _let_3 (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) _let_2 true))))))))))))))))))))))))))))))))))))))))))))))))))
% 10.30/10.66 )
% 10.30/10.66 % SZS output end Proof for SET893+1
% 10.30/10.66 % cvc5---1.0.5 exiting
% 10.30/10.66 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------