TSTP Solution File: SET879+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET879+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n023.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 14:40:51 EDT 2023
% Result : Theorem 0.75s 1.02s
% Output : Proof 0.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET879+1 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.13 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Aug 26 13:31:26 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.47 %----Proving TF0_NAR, FOF, or CNF
% 0.75/1.02 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.DXd6h19Od3/cvc5---1.0.5_4817.p...
% 0.75/1.02 ------- get file name : TPTP file name is SET879+1
% 0.75/1.02 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_4817.smt2...
% 0.75/1.02 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.75/1.02 % SZS status Theorem for SET879+1
% 0.75/1.02 % SZS output start Proof for SET879+1
% 0.75/1.02 (
% 0.75/1.02 (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.singleton A))) (= (= (tptp.set_difference _let_1 (tptp.singleton B)) _let_1) (not (= A B)))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.singleton A))) (= (= (tptp.set_difference _let_1 B) _let_1) (not (tptp.in A B))))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.singleton A)) (forall ((C $$unsorted)) (= (tptp.in C B) (= C A))))))) (let ((_let_4 (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_5 (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_6 (= _let_5 (tptp.set_difference _let_5 _let_4)))) (let ((_let_7 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_8 (not _let_7))) (let ((_let_9 (= _let_8 _let_6))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.singleton A))) (= (not (= A B)) (= _let_1 (tptp.set_difference _let_1 (tptp.singleton B)))))))) (let ((_let_11 (not _let_9))) (let ((_let_12 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_13 (or))) (let ((_let_14 (not _let_10))) (let ((_let_15 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_12) :args (_let_14))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_10))) (REFL :args (_let_11)) :args _let_13)) _let_12 :args (_let_11 true _let_10)))) (let ((_let_16 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_4))) (let ((_let_17 (not _let_16))) (let ((_let_18 (= _let_6 _let_17))) (let ((_let_19 (not _let_6))) (let ((_let_20 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.singleton A))) (= (not (tptp.in A B)) (= _let_1 (tptp.set_difference _let_1 B))))))) (let ((_let_21 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_22 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_21 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_4 QUANTIFIERS_INST_E_MATCHING ((tptp.set_difference (tptp.singleton A) B)))) :args (_let_20)))) _let_21 :args (_let_18 false _let_20)))) (let ((_let_23 (= _let_7 _let_16))) (let ((_let_24 (not _let_18))) (let ((_let_25 (_let_18))) (let ((_let_26 (forall ((C $$unsorted)) (= (= C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) (tptp.in C (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))))) (let ((_let_27 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.singleton A)) (forall ((C $$unsorted)) (= (tptp.in C B) (= A C))))))) (let ((_let_28 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_29 (_let_26))) (let ((_let_30 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_29) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.in C _let_4)))) :args _let_29)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_28 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_4 QUANTIFIERS_INST_ENUM)) :args (_let_27)))) _let_28 :args (_let_26 false _let_27)) :args (_let_23 false _let_26)))) (let ((_let_31 (not _let_23))) (let ((_let_32 (_let_23))) (let ((_let_33 (_let_9))) (let ((_let_34 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_NEG2 :args _let_33) (CONG (REFL :args _let_33) (MACRO_SR_PRED_INTRO :args ((= (not _let_8) _let_7))) (REFL :args (_let_19)) :args _let_13)) :args ((or _let_7 _let_9 _let_19))) _let_15 (REORDERING (CNF_EQUIV_POS1 :args _let_32) :args ((or _let_8 _let_16 _let_31))) _let_30 (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args _let_25) (CONG (REFL :args (_let_24)) (REFL :args (_let_6)) (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_16))) :args _let_13)) :args ((or _let_6 _let_16 _let_24))) _let_22 :args (_let_16 true _let_9 true _let_7 false _let_23 false _let_6 false _let_18)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_33) :args ((or _let_8 _let_6 _let_9))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_32) :args ((or _let_7 _let_17 _let_31))) _let_34 _let_30 :args (_let_7 false _let_16 false _let_23)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_25) :args ((or _let_19 _let_17 _let_24))) _let_34 _let_22 :args (_let_19 false _let_16 false _let_18)) _let_15 :args (false false _let_7 true _let_6 true _let_9)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) _let_3 _let_2 (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) _let_1 true)))))))))))))))))))))))))))))))))))))
% 0.86/1.03 )
% 0.86/1.03 % SZS output end Proof for SET879+1
% 0.86/1.03 % cvc5---1.0.5 exiting
% 0.86/1.03 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------