TSTP Solution File: SET975+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET975+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n032.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 14:41:13 EDT 2023
% Result : Theorem 10.27s 10.50s
% Output : Proof 10.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SET975+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.10 % Command : do_cvc5 %s %d
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Sat Aug 26 12:24:14 EDT 2023
% 0.11/0.30 % CPUTime :
% 0.15/0.40 %----Proving TF0_NAR, FOF, or CNF
% 10.27/10.50 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.JPpuLOew9y/cvc5---1.0.5_30225.p...
% 10.27/10.50 ------- get file name : TPTP file name is SET975+1
% 10.27/10.50 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_30225.smt2...
% 10.27/10.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.27/10.50 --- Run --no-e-matching --full-saturate-quant at 5...
% 10.27/10.50 % SZS status Theorem for SET975+1
% 10.27/10.50 % SZS output start Proof for SET975+1
% 10.27/10.50 (
% 10.27/10.50 (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) D)) (and (= A C) (tptp.in 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 $$unsorted)) (= (tptp.in C B) (= C A))))))) (let ((_let_5 (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_6 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_5))) (let ((_let_7 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_8 (= _let_7 _let_6))) (let ((_let_9 (forall ((C $$unsorted)) (= (= C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) (tptp.in C (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))))) (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_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_12 (_let_9))) (let ((_let_13 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_12) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_11 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_5 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_10)))) _let_11 :args (_let_9 false _let_10)) :args (_let_8 false _let_9)))) (let ((_let_14 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_15 (and _let_7 _let_14))) (let ((_let_16 (tptp.in (tptp.ordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) (tptp.cartesian_product2 _let_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_17 (= _let_16 _let_15))) (let ((_let_18 (not _let_17))) (let ((_let_19 (_let_2))) (let ((_let_20 (ASSUME :args _let_19))) (let ((_let_21 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_20) :args _let_19)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args (_let_18)) :args (or))) _let_20 :args (_let_18 true _let_1)))) (let ((_let_22 (and _let_6 _let_14))) (let ((_let_23 (= _let_16 _let_22))) (let ((_let_24 (not _let_16))) (let ((_let_25 (_let_17))) (let ((_let_26 (_let_3))) (let ((_let_27 (ASSUME :args _let_26))) (let ((_let_28 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_26)) _let_27 :args (_let_23 false _let_3)))) (let ((_let_29 (not _let_23))) (let ((_let_30 (_let_23))) (let ((_let_31 (not _let_22))) (let ((_let_32 (not _let_8))) (let ((_let_33 (not _let_6))) (let ((_let_34 (_let_8))) (let ((_let_35 (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_15)) (REORDERING (CNF_EQUIV_POS2 :args _let_34) :args ((or _let_7 _let_33 _let_32))) _let_13 (REORDERING (CNF_AND_POS :args (_let_22 1)) :args ((or _let_14 _let_31))) (REORDERING (CNF_AND_POS :args (_let_22 0)) :args ((or _let_6 _let_31))) (REORDERING (CNF_EQUIV_POS1 :args _let_30) :args ((or _let_24 _let_22 _let_29))) _let_28 (CNF_EQUIV_NEG2 :args _let_25) _let_21 :args (_let_24 false _let_7 false _let_8 false _let_14 false _let_6 false _let_22 false _let_23 true _let_15 true _let_17)))) (let ((_let_36 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_25) :args ((or _let_16 _let_15 _let_17))) _let_35 _let_21 :args (_let_15 true _let_16 true _let_17)))) (let ((_let_37 (not _let_15))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_34) :args ((or (not _let_7) _let_6 _let_32))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_22)) :args ((or (not _let_14) _let_22 _let_33))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_15 1)) :args ((or _let_14 _let_37))) _let_36 :args (_let_14 false _let_15)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_30) :args ((or _let_16 _let_31 _let_29))) _let_35 _let_28 :args (_let_31 true _let_16 false _let_23)) :args (_let_33 false _let_14 true _let_22)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_15 0)) :args ((or _let_7 _let_37))) _let_36 :args (_let_7 false _let_15)) _let_13 :args (false true _let_6 false _let_7 false _let_8)) :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))))))))))))))))))))))))))))))))))))))))
% 10.27/10.51 )
% 10.27/10.51 % SZS output end Proof for SET975+1
% 10.27/10.51 % cvc5---1.0.5 exiting
% 10.27/10.51 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------