TSTP Solution File: ITP019+2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ITP019+2 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n001.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 03:16:02 EDT 2023
% Result : Theorem 0.20s 0.55s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ITP019+2 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n001.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
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun Aug 27 14:55:18 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.55 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.kSKcvqOOS9/cvc5---1.0.5_15162.p...
% 0.20/0.55 ------- get file name : TPTP file name is ITP019+2
% 0.20/0.55 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_15162.smt2...
% 0.20/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.55 % SZS status Theorem for ITP019+2
% 0.20/0.55 % SZS output start Proof for ITP019+2
% 0.20/0.55 (
% 0.20/0.55 (let ((_let_1 (not (forall ((V0z $$unsorted)) (let ((_let_1 (tptp.ap tptp.c_2Ecomplex_2Ecomplex__of__num tptp.c_2Enum_2E0))) (=> (tptp.mem V0z (tptp.ty_2Epair_2Eprod tptp.ty_2Erealax_2Ereal tptp.ty_2Erealax_2Ereal)) (=> (not (= V0z _let_1)) (not (= (tptp.ap tptp.c_2Ecomplex_2Ecomplex__inv V0z) _let_1))))))))) (let ((_let_2 (forall ((V0z $$unsorted)) (let ((_let_1 (tptp.ap tptp.c_2Ecomplex_2Ecomplex__of__num tptp.c_2Enum_2E0))) (=> (tptp.mem V0z (tptp.ty_2Epair_2Eprod tptp.ty_2Erealax_2Ereal tptp.ty_2Erealax_2Ereal)) (= (= (tptp.ap tptp.c_2Ecomplex_2Ecomplex__inv V0z) _let_1) (= V0z _let_1))))))) (let ((_let_3 (tptp.ty_2Epair_2Eprod tptp.ty_2Erealax_2Ereal tptp.ty_2Erealax_2Ereal))) (let ((_let_4 (tptp.arr tptp.bool tptp.bool))) (let ((_let_5 (tptp.arr tptp.bool _let_4))) (let ((_let_6 (tptp.mem SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_3))) (let ((_let_7 (tptp.ap tptp.c_2Ecomplex_2Ecomplex__of__num tptp.c_2Enum_2E0))) (let ((_let_8 (= _let_7 (tptp.ap tptp.c_2Ecomplex_2Ecomplex__inv SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_9 (= _let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_10 (= _let_9 _let_8))) (let ((_let_11 (not _let_6))) (let ((_let_12 (or _let_11 _let_10))) (let ((_let_13 (not _let_8))) (let ((_let_14 (or _let_11 _let_9 _let_13))) (let ((_let_15 (forall ((V0z $$unsorted)) (let ((_let_1 (tptp.ap tptp.c_2Ecomplex_2Ecomplex__of__num tptp.c_2Enum_2E0))) (or (not (tptp.mem V0z (tptp.ty_2Epair_2Eprod tptp.ty_2Erealax_2Ereal tptp.ty_2Erealax_2Ereal))) (= _let_1 V0z) (not (= _let_1 (tptp.ap tptp.c_2Ecomplex_2Ecomplex__inv V0z)))))))) (let ((_let_16 (not _let_14))) (let ((_let_17 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_18 (or))) (let ((_let_19 (not _let_15))) (let ((_let_20 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_17) :args (_let_19))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_15))) (REFL :args (_let_16)) :args _let_18)) _let_17 :args (_let_16 true _let_15)))) (let ((_let_21 (REFL :args (_let_14)))) (let ((_let_22 (not _let_10))) (let ((_let_23 (forall ((V0z $$unsorted)) (let ((_let_1 (tptp.ap tptp.c_2Ecomplex_2Ecomplex__of__num tptp.c_2Enum_2E0))) (or (not (tptp.mem V0z (tptp.ty_2Epair_2Eprod tptp.ty_2Erealax_2Ereal tptp.ty_2Erealax_2Ereal))) (= (= V0z _let_1) (= _let_1 (tptp.ap tptp.c_2Ecomplex_2Ecomplex__inv V0z)))))))) (let ((_let_24 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_12)) :args ((or _let_11 _let_10 (not _let_12)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_24 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.mem V0z _let_3) false))))) :args (_let_23)))) _let_24 :args (_let_12 false _let_23)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_10)) :args ((or _let_9 _let_13 _let_22))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_14 1)) _let_20 :args ((not _let_9) true _let_14)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_14 2)) (CONG _let_21 (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_8))) :args _let_18)) :args ((or _let_8 _let_14))) _let_20 :args (_let_8 true _let_14)) :args (_let_22 true _let_9 false _let_8)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_14 0)) (CONG _let_21 (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_6))) :args _let_18)) :args ((or _let_6 _let_14))) _let_20 :args (_let_6 true _let_14)) :args (false false _let_12 true _let_10 false _let_6)) :args ((tptp.ne tptp.bool) (tptp.ne tptp.ind) (forall ((A $$unsorted)) (=> (tptp.ne A) (forall ((B $$unsorted)) (=> (tptp.ne B) (tptp.ne (tptp.arr A B)))))) (forall ((A $$unsorted) (B $$unsorted) (F $$unsorted)) (=> (tptp.mem F (tptp.arr A B)) (forall ((X $$unsorted)) (=> (tptp.mem X A) (tptp.mem (tptp.ap F X) B))))) (forall ((Q $$unsorted)) (=> (tptp.mem Q tptp.bool) (forall ((R $$unsorted)) (=> (tptp.mem R tptp.bool) (=> (= (tptp.p Q) (tptp.p R)) (= Q R)))))) (forall ((A $$unsorted) (B $$unsorted) (F $$unsorted)) (=> (tptp.mem F (tptp.arr A B)) (forall ((G $$unsorted)) (=> (tptp.mem G (tptp.arr A B)) (=> (forall ((X $$unsorted)) (=> (tptp.mem X A) (= (tptp.ap F X) (tptp.ap G X)))) (= F G)))))) (forall ((A $$unsorted) (Y $$unsorted) (X $$unsorted)) (=> (tptp.mem X A) (= (tptp.ap (tptp.k A Y) X) Y))) (forall ((A $$unsorted) (X $$unsorted)) (=> (tptp.mem X A) (= (tptp.ap (tptp.i A) X) X))) (tptp.mem tptp.c_2Ebool_2E_7E _let_4) (forall ((Q $$unsorted)) (=> (tptp.mem Q tptp.bool) (= (tptp.p (tptp.ap tptp.c_2Ebool_2E_7E Q)) (not (tptp.p Q))))) (tptp.mem tptp.c_2Ebool_2EF tptp.bool) (not (tptp.p tptp.c_2Ebool_2EF)) (tptp.mem tptp.c_2Ebool_2ET tptp.bool) (tptp.p tptp.c_2Ebool_2ET) (tptp.mem tptp.c_2Emin_2E_3D_3D_3E _let_5) (forall ((Q $$unsorted)) (=> (tptp.mem Q tptp.bool) (forall ((R $$unsorted)) (=> (tptp.mem R tptp.bool) (= (tptp.p (tptp.ap (tptp.ap tptp.c_2Emin_2E_3D_3D_3E Q) R)) (=> (tptp.p Q) (tptp.p R))))))) (tptp.mem tptp.c_2Ebool_2E_2F_5C _let_5) (forall ((Q $$unsorted)) (=> (tptp.mem Q tptp.bool) (forall ((R $$unsorted)) (=> (tptp.mem R tptp.bool) (= (tptp.p (tptp.ap (tptp.ap tptp.c_2Ebool_2E_2F_5C Q) R)) (and (tptp.p Q) (tptp.p R))))))) (tptp.ne tptp.ty_2Enum_2Enum) (tptp.mem tptp.c_2Enum_2E0 tptp.ty_2Enum_2Enum) (tptp.ne tptp.ty_2Erealax_2Ereal) (forall ((A0 $$unsorted)) (=> (tptp.ne A0) (forall ((A1 $$unsorted)) (=> (tptp.ne A1) (tptp.ne (tptp.ty_2Epair_2Eprod A0 A1)))))) (tptp.mem tptp.c_2Ecomplex_2Ecomplex__of__num (tptp.arr tptp.ty_2Enum_2Enum _let_3)) (tptp.mem tptp.c_2Ecomplex_2Ecomplex__inv (tptp.arr _let_3 _let_3)) (forall ((A_27a $$unsorted)) (=> (tptp.ne A_27a) (tptp.mem (tptp.c_2Emin_2E_3D A_27a) (tptp.arr A_27a (tptp.arr A_27a tptp.bool))))) (forall ((A $$unsorted)) (=> (tptp.ne A) (forall ((X $$unsorted)) (=> (tptp.mem X A) (forall ((Y $$unsorted)) (=> (tptp.mem Y A) (= (tptp.p (tptp.ap (tptp.ap (tptp.c_2Emin_2E_3D A) X) Y)) (= X Y)))))))) (forall ((A_27a $$unsorted)) (=> (tptp.ne A_27a) (tptp.mem (tptp.c_2Ebool_2E_21 A_27a) (tptp.arr (tptp.arr A_27a tptp.bool) tptp.bool)))) (forall ((A $$unsorted)) (=> (tptp.ne A) (forall ((Q $$unsorted)) (=> (tptp.mem Q (tptp.arr A tptp.bool)) (= (tptp.p (tptp.ap (tptp.c_2Ebool_2E_21 A) Q)) (forall ((X $$unsorted)) (=> (tptp.mem X A) (tptp.p (tptp.ap Q X))))))))) true (forall ((A_27a $$unsorted)) (=> (tptp.ne A_27a) (forall ((V0t $$unsorted)) (=> (tptp.mem V0t tptp.bool) (= (forall ((V1x $$unsorted)) (=> (tptp.mem V1x A_27a) (tptp.p V0t))) (tptp.p V0t)))))) (forall ((V0t $$unsorted)) (let ((_let_1 (tptp.p V0t))) (=> (tptp.mem V0t tptp.bool) (and (= (=> true _let_1) _let_1) (= (=> _let_1 true) true) (= (=> false _let_1) true) (= (=> _let_1 _let_1) true) (= (=> _let_1 false) (not _let_1)))))) _let_2 _let_1 true)))))))))))))))))))))))))))
% 0.20/0.56 )
% 0.20/0.56 % SZS output end Proof for ITP019+2
% 0.20/0.56 % cvc5---1.0.5 exiting
% 0.20/0.56 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------