TSTP Solution File: SET949+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET949+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n016.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 9.79s 10.02s
% Output : Proof 9.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET949+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n016.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 12:55:12 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 9.79/10.02 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.Ed8Jyz3jC0/cvc5---1.0.5_7340.p...
% 9.79/10.02 ------- get file name : TPTP file name is SET949+1
% 9.79/10.02 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_7340.smt2...
% 9.79/10.02 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 9.79/10.02 % SZS status Theorem for SET949+1
% 9.79/10.02 % SZS output start Proof for SET949+1
% 9.79/10.02 (
% 9.79/10.02 (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.in A (tptp.cartesian_product2 B C)) (forall ((D $$unsorted) (E $$unsorted)) (not (= (tptp.ordered_pair D E) A))))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.cartesian_product2 A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (exists ((E $$unsorted) (F $$unsorted)) (and (tptp.in E A) (tptp.in F B) (= D (tptp.ordered_pair E F)))))))))) (let ((_let_3 (forall ((D $$unsorted) (E $$unsorted)) (not (= (tptp.ordered_pair D E) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))) (let ((_let_4 (tptp.ordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_298 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_299))) (let ((_let_5 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_4))) (let ((_let_6 (not _let_3))) (let ((_let_7 (tptp.cartesian_product2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_8 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_7))) (let ((_let_9 (not _let_8))) (let ((_let_10 (or _let_9 _let_6))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.in A (tptp.cartesian_product2 B C))) (not (forall ((D $$unsorted) (E $$unsorted)) (not (= A (tptp.ordered_pair D E))))))))) (let ((_let_12 (not _let_10))) (let ((_let_13 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_14 (or))) (let ((_let_15 (not _let_11))) (let ((_let_16 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_13) :args (_let_15)) (REWRITE :args ((=> _let_15 (not (or _let_9 (not (forall ((D $$unsorted) (E $$unsorted)) (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.ordered_pair D E)))))))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_11))) (REFL :args (_let_12)) :args _let_14)) _let_13 :args (_let_12 true _let_11)))) (let ((_let_17 (REFL :args (_let_10)))) (let ((_let_18 (not _let_5))) (let ((_let_19 (not (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_299 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_20 (not (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_298 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_21 (or _let_20 _let_19 _let_18))) (let ((_let_22 (forall ((E $$unsorted) (F $$unsorted)) (or (not (tptp.in E SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (not (tptp.in F SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) (not (= (tptp.ordered_pair E F) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))))) (let ((_let_23 (not _let_21))) (let ((_let_24 (not _let_22))) (let ((_let_25 (= _let_8 _let_24))) (let ((_let_26 (forall ((D $$unsorted)) (= (not (forall ((E $$unsorted) (F $$unsorted)) (or (not (tptp.in E SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (not (tptp.in F SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) (not (= D (tptp.ordered_pair E F)))))) (tptp.in D (tptp.cartesian_product2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))))) (let ((_let_27 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.cartesian_product2 A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (not (forall ((E $$unsorted) (F $$unsorted)) (or (not (tptp.in E A)) (not (tptp.in F B)) (not (= D (tptp.ordered_pair E F)))))))))))) (let ((_let_28 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_29 (_let_26))) (let ((_let_30 (_let_24))) (let ((_let_31 (_let_3))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_31) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_298 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_299 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.ordered_pair D E)))) :args _let_31))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_21 2)) (CONG (REFL :args (_let_21)) (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_5))) :args _let_14)) :args ((or _let_5 _let_21))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_30)) :args _let_30) (REWRITE :args ((=> _let_24 (not (or _let_20 _let_19 (not (= _let_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_22))) (REFL :args (_let_23)) :args _let_14)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_25)) :args ((or _let_9 _let_24 (not _let_25)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_10 0)) (CONG _let_17 (MACRO_SR_PRED_INTRO :args ((= (not _let_9) _let_8))) :args _let_14)) :args ((or _let_8 _let_10))) _let_16 :args (_let_8 true _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_29) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.in D _let_7)))) :args _let_29))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_28 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_7 QUANTIFIERS_INST_ENUM)) :args (_let_27)))) _let_28 :args (_let_26 false _let_27)) :args (_let_25 false _let_26)) :args (_let_24 false _let_8 false _let_25)) :args (_let_23 true _let_22)) :args (_let_5 true _let_21)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_10 1)) (CONG _let_17 (MACRO_SR_PRED_INTRO :args ((= (not _let_6) _let_3))) :args _let_14)) :args ((or _let_3 _let_10))) _let_16 :args (_let_3 true _let_10)) :args (false false _let_5 false _let_3)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.unordered_pair A B) (tptp.unordered_pair B A))) _let_2 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.ordered_pair A B) (tptp.unordered_pair (tptp.unordered_pair A B) (tptp.singleton A)))) (forall ((A $$unsorted) (B $$unsorted)) (not (tptp.empty (tptp.ordered_pair A B)))) (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) _let_1 true))))))))))))))))))))))))))))))))))
% 9.79/10.03 )
% 9.79/10.03 % SZS output end Proof for SET949+1
% 9.79/10.04 % cvc5---1.0.5 exiting
% 9.79/10.04 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------