TSTP Solution File: SET926+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET926+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n026.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 14:41:03 EDT 2023
% Result : Theorem 0.21s 0.55s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET926+1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.13/0.36 % Computer : n026.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Sat Aug 26 12:02:34 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.21/0.52 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.55 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.MkOR4UG88o/cvc5---1.0.5_31589.p...
% 0.21/0.55 ------- get file name : TPTP file name is SET926+1
% 0.21/0.55 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_31589.smt2...
% 0.21/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.55 % SZS status Theorem for SET926+1
% 0.21/0.55 % SZS output start Proof for SET926+1
% 0.21/0.55 (
% 0.21/0.55 (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.singleton A))) (let ((_let_2 (tptp.set_difference _let_1 B))) (or (= _let_2 tptp.empty_set) (= _let_2 _let_1)))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (= (= (tptp.set_difference (tptp.singleton A) B) tptp.empty_set) (tptp.in A B))))) (let ((_let_3 (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_4 (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_5 (tptp.set_difference _let_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_6 (= tptp.empty_set _let_5))) (let ((_let_7 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_8 (= _let_6 _let_7))) (let ((_let_9 (= _let_4 _let_5))) (let ((_let_10 (or _let_6 _let_9))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.singleton A))) (let ((_let_2 (tptp.set_difference _let_1 B))) (or (= tptp.empty_set _let_2) (= _let_1 _let_2))))))) (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 (SCOPE (SKOLEMIZE _let_13) :args (_let_15))) (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 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.in A B) (= tptp.empty_set (tptp.set_difference (tptp.singleton A) B)))))) (let ((_let_18 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_19 (not _let_7))) (let ((_let_20 (= _let_9 _let_19))) (let ((_let_21 (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_22 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_23 (not _let_20))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_8)) :args ((or _let_6 _let_19 (not _let_8)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_20)) (CONG (REFL :args (_let_23)) (REFL :args (_let_9)) (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_7))) :args _let_14)) :args ((or _let_9 _let_7 _let_23))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_10 1)) _let_16 :args ((not _let_9) true _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_22 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING ((tptp.set_difference (tptp.singleton A) B)))) :args (_let_21)))) _let_22 :args (_let_20 false _let_21)) :args (_let_7 true _let_9 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_18 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING ((tptp.set_difference (tptp.singleton A) B)))) :args (_let_17)))) _let_18 :args (_let_8 false _let_17)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_10 0)) _let_16 :args ((not _let_6) true _let_10)) :args (false false _let_7 false _let_8 true _let_6)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) (tptp.empty tptp.empty_set) _let_3 _let_2 (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) _let_1 true))))))))))))))))))))))))))
% 0.21/0.55 )
% 0.21/0.55 % SZS output end Proof for SET926+1
% 0.21/0.55 % cvc5---1.0.5 exiting
% 0.21/0.55 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------