TSTP Solution File: SET954+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET954+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n015.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 14:41:09 EDT 2023
% Result : Theorem 0.20s 0.49s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET954+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.18/0.34 % Computer : n015.cluster.edu
% 0.18/0.34 % Model : x86_64 x86_64
% 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34 % Memory : 8042.1875MB
% 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34 % CPULimit : 300
% 0.18/0.34 % WCLimit : 300
% 0.18/0.34 % DateTime : Sat Aug 26 08:50:37 EDT 2023
% 0.18/0.34 % CPUTime :
% 0.20/0.47 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.lJkgCJZeVs/cvc5---1.0.5_31520.p...
% 0.20/0.49 ------- get file name : TPTP file name is SET954+1
% 0.20/0.49 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_31520.smt2...
% 0.20/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.49 % SZS status Theorem for SET954+1
% 0.20/0.49 % SZS output start Proof for SET954+1
% 0.20/0.49 (
% 0.20/0.49 (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (tptp.in (tptp.ordered_pair A B) (tptp.cartesian_product2 C D)) (tptp.in (tptp.ordered_pair B A) (tptp.cartesian_product2 D C))))))) (let ((_let_2 (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_3 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_4 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_5 (and _let_4 _let_3))) (let ((_let_6 (tptp.in (tptp.ordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (tptp.cartesian_product2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_7 (= _let_6 _let_5))) (let ((_let_8 (not _let_5))) (let ((_let_9 (_let_2))) (let ((_let_10 (ASSUME :args _let_9))) (let ((_let_11 ((tptp.in (tptp.ordered_pair A B) (tptp.cartesian_product2 C D))))) (let ((_let_12 (tptp.in (tptp.ordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) (tptp.cartesian_product2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_13 (not _let_12))) (let ((_let_14 (or _let_13 _let_6))) (let ((_let_15 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.in (tptp.ordered_pair A B) (tptp.cartesian_product2 C D))) (tptp.in (tptp.ordered_pair B A) (tptp.cartesian_product2 D C)))))) (let ((_let_16 (not _let_14))) (let ((_let_17 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_18 (or))) (let ((_let_19 (not _let_15))) (let ((_let_20 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_17) :args (_let_19))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_15))) (REFL :args (_let_16)) :args _let_18)) _let_17 :args (_let_16 true _let_15)))) (let ((_let_21 (and _let_3 _let_4))) (let ((_let_22 (= _let_12 _let_21))) (let ((_let_23 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_22)) :args ((or _let_13 _let_21 (not _let_22)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_14 0)) (CONG (REFL :args (_let_14)) (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_12))) :args _let_18)) :args ((or _let_12 _let_14))) _let_20 :args (_let_12 true _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_10 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING _let_11)) :args _let_9)) _let_10 :args (_let_22 false _let_2)) :args (_let_21 false _let_12 false _let_22)))) (let ((_let_24 (not _let_21))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_5)) :args ((or _let_5 (not _let_3) (not _let_4)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_21 1)) :args ((or _let_4 _let_24))) _let_23 :args (_let_4 false _let_21)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_21 0)) :args ((or _let_3 _let_24))) _let_23 :args (_let_3 false _let_21)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_7)) :args ((or _let_6 _let_8 (not _let_7)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_14 1)) _let_20 :args ((not _let_6) true _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_10 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING _let_11)) :args _let_9)) _let_10 :args (_let_7 false _let_2)) :args (_let_8 true _let_6 false _let_7)) :args (false false _let_4 false _let_3 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))) (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_2 (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) _let_1 true)))))))))))))))))))))))))))
% 0.20/0.50 )
% 0.20/0.50 % SZS output end Proof for SET954+1
% 0.20/0.50 % cvc5---1.0.5 exiting
% 0.20/0.50 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------