TSTP Solution File: SEU147+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU147+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n008.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 16:29:33 EDT 2023
% Result : Theorem 0.21s 0.51s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU147+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n008.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 : Wed Aug 23 20:09:32 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.51 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.1lNOTJzJVX/cvc5---1.0.5_9468.p...
% 0.21/0.51 ------- get file name : TPTP file name is SEU147+1
% 0.21/0.51 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_9468.smt2...
% 0.21/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.51 % SZS status Theorem for SEU147+1
% 0.21/0.51 % SZS output start Proof for SEU147+1
% 0.21/0.51 (
% 0.21/0.51 (let ((_let_1 (forall ((A $$unsorted)) (=> (tptp.subset A tptp.empty_set) (= A tptp.empty_set))))) (let ((_let_2 (tptp.singleton tptp.empty_set))) (let ((_let_3 (= (tptp.powerset tptp.empty_set) _let_2))) (let ((_let_4 (not _let_3))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A A)))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.powerset A)) (forall ((C $$unsorted)) (= (tptp.in C B) (tptp.subset C A))))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.singleton A)) (forall ((C $$unsorted)) (= (tptp.in C B) (= C A))))))) (let ((_let_8 (tptp.subset tptp.empty_set tptp.empty_set))) (let ((_let_9 (= tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_10 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 tptp.empty_set))) (let ((_let_11 (forall ((A $$unsorted)) (tptp.subset A A)))) (let ((_let_12 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_13 (not _let_10))) (let ((_let_14 (or _let_13 _let_9))) (let ((_let_15 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 _let_2))) (let ((_let_16 (= _let_15 _let_9))) (let ((_let_17 (= _let_10 _let_15))) (let ((_let_18 (forall ((A $$unsorted)) (or (not (tptp.subset A tptp.empty_set)) (= tptp.empty_set A))))) (let ((_let_19 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_20 (forall ((C $$unsorted)) (= (= C tptp.empty_set) (tptp.in C (tptp.singleton tptp.empty_set)))))) (let ((_let_21 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.singleton A)) (forall ((C $$unsorted)) (= (tptp.in C B) (= A C))))))) (let ((_let_22 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_23 (tptp.empty_set _let_2 QUANTIFIERS_INST_ENUM))) (let ((_let_24 (_let_20))) (let ((_let_25 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_24) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.in C _let_2)))) :args _let_24))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_22 :args _let_23) :args (_let_21)))) _let_22 :args (_let_20 false _let_21)) :args (_let_16 false _let_20)))) (let ((_let_26 (not _let_16))) (let ((_let_27 (_let_16))) (let ((_let_28 (forall ((C $$unsorted)) (= (tptp.subset C tptp.empty_set) (tptp.in C (tptp.singleton tptp.empty_set)))))) (let ((_let_29 (not _let_17))) (let ((_let_30 (= _let_3 _let_28))) (let ((_let_31 (not _let_28))) (let ((_let_32 (_let_6))) (let ((_let_33 (ASSUME :args _let_32))) (let ((_let_34 (_let_31))) (let ((_let_35 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_34)) :args _let_34)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_28))) (REFL :args (_let_29)) :args (or))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_30)) :args ((or _let_3 _let_31 (not _let_30)))) (ASSUME :args (_let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_33 :args _let_23) :args _let_32))) _let_33 :args (_let_30 false _let_6)) :args (_let_31 true _let_3 false _let_30)) :args (_let_29 true _let_28)))) (let ((_let_36 (_let_17))) (let ((_let_37 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_36) :args ((or _let_10 _let_15 _let_17))) _let_35 (REORDERING (CNF_EQUIV_POS1 :args _let_27) :args ((or (not _let_15) _let_9 _let_26))) _let_25 (REORDERING (CNF_OR_POS :args (_let_14)) :args ((or _let_13 _let_9 (not _let_14)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.subset A tptp.empty_set) false))))) :args (_let_18))) _let_19 :args (_let_14 false _let_18)) :args (_let_9 true _let_17 true _let_15 false _let_16 true _let_10 false _let_14)))) (let ((_let_38 (not _let_9))) (let ((_let_39 (and _let_8 _let_9))) (let ((_let_40 (_let_8 _let_9))) (let ((_let_41 (ASSUME :args (_let_8)))) (let ((_let_42 (ASSUME :args (_let_9)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_39)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_41 _let_42) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_42) (REFL :args (tptp.empty_set)) :args (APPLY_UF tptp.subset)) (TRUE_INTRO _let_41))) :args _let_40)) :args _let_40)) :args (true _let_39)) :args ((or (not _let_8) _let_10 _let_38))) (MACRO_RESOLUTION_TRUST (CNF_EQUIV_NEG2 :args _let_36) _let_35 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_27) :args ((or _let_15 _let_38 _let_26))) _let_37 _let_25 :args (_let_15 false _let_9 false _let_16)) :args (_let_13 true _let_17 false _let_15)) _let_37 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_12 :args (tptp.empty_set QUANTIFIERS_INST_ENUM)) :args (_let_11))) _let_12 :args (_let_8 false _let_11)) :args (false true _let_10 false _let_9 false _let_8)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) _let_7 _let_6 true true true (tptp.empty tptp.empty_set) (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) _let_5 _let_4 (forall ((A $$unsorted) (B $$unsorted)) (=> (forall ((C $$unsorted)) (= (tptp.in C A) (tptp.in C B))) (= A B))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.51 )
% 0.21/0.51 % SZS output end Proof for SEU147+1
% 0.21/0.51 % cvc5---1.0.5 exiting
% 0.21/0.51 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------