TSTP Solution File: SWV007-1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWV007-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n022.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 21:48:54 EDT 2023
% Result : Unsatisfiable 0.21s 0.54s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV007-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n022.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 29 06:37:23 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.dnQdEeJyw7/cvc5---1.0.5_22711.p...
% 0.21/0.50 ------- get file name : TPTP file name is SWV007-1
% 0.21/0.50 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_22711.smt2...
% 0.21/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.54 % SZS status Unsatisfiable for SWV007-1
% 0.21/0.54 % SZS output start Proof for SWV007-1
% 0.21/0.54 (
% 0.21/0.54 (let ((_let_1 (forall ((X $$unsorted)) (or (tptp.less_than X tptp.i) (not (tptp.less_than X (tptp.successor tptp.n))) (not (tptp.less_than (tptp.a X) (tptp.a tptp.k))))))) (let ((_let_2 (tptp.less_than (tptp.a tptp.m) (tptp.a tptp.k)))) (let ((_let_3 (tptp.less_than tptp.i tptp.m))) (let ((_let_4 (tptp.less_than tptp.n tptp.m))) (let ((_let_5 (not _let_4))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_than X Y)) (not (tptp.less_than Y X)))))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.less_than X Y) (tptp.less_than Y X) (= X Y))))) (let ((_let_8 (forall ((X $$unsorted) (Z $$unsorted) (Y $$unsorted)) (or (tptp.less_than X Z) (not (tptp.less_than X Y)) (not (tptp.less_than Y Z)))))) (let ((_let_9 (forall ((X $$unsorted)) (tptp.less_than X (tptp.successor X))))) (let ((_let_10 (tptp.successor tptp.n))) (let ((_let_11 (tptp.less_than tptp.n _let_10))) (let ((_let_12 (= tptp.m _let_10))) (let ((_let_13 (ASSUME :args (_let_5)))) (let ((_let_14 (_let_9))) (let ((_let_15 (ASSUME :args _let_14))) (let ((_let_16 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_15 :args (tptp.n QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.successor X)))) :args _let_14)) _let_15 :args (_let_11 false _let_9)))) (let ((_let_17 (tptp.less_than _let_10 tptp.m))) (let ((_let_18 (tptp.less_than tptp.m _let_10))) (let ((_let_19 (or _let_18 _let_17 _let_12))) (let ((_let_20 (_let_7))) (let ((_let_21 (ASSUME :args _let_20))) (let ((_let_22 (not _let_17))) (let ((_let_23 (not _let_11))) (let ((_let_24 (or _let_4 _let_23 _let_22))) (let ((_let_25 (_let_8))) (let ((_let_26 (ASSUME :args _let_25))) (let ((_let_27 (not _let_2))) (let ((_let_28 (not _let_18))) (let ((_let_29 (tptp.less_than tptp.m tptp.i))) (let ((_let_30 (or _let_29 _let_28 _let_27))) (let ((_let_31 (_let_1))) (let ((_let_32 (ASSUME :args _let_31))) (let ((_let_33 (not _let_29))) (let ((_let_34 (not _let_3))) (let ((_let_35 (or _let_34 _let_33))) (let ((_let_36 (_let_6))) (let ((_let_37 (ASSUME :args _let_36))) (let ((_let_38 (ASSUME :args (_let_11)))) (let ((_let_39 (ASSUME :args (_let_12)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_38 _let_39 _let_13) :args (_let_5 _let_11 _let_12)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_13)) (CONG (REFL :args (tptp.n)) (SYMM (SYMM _let_39)) :args (APPLY_UF tptp.less_than)) (TRUE_INTRO _let_38))) :args (_let_11 _let_12 _let_5)) :args ((not (and _let_5 _let_11 _let_12)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_5) _let_4))) (REFL :args (_let_23)) (REFL :args ((not _let_12))) :args (or))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_19)) :args ((or _let_18 _let_17 _let_12 (not _let_19)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_30)) :args ((or _let_27 _let_29 _let_28 (not _let_30)))) (ASSUME :args (_let_2)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_34 _let_33 (not _let_35)))) (ASSUME :args (_let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (tptp.i tptp.m QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.less_than X Y) false))))) :args _let_36)) _let_37 :args (_let_35 false _let_6)) :args (_let_33 false _let_3 false _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (tptp.m QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.a X)))) :args _let_31)) _let_32 :args (_let_30 false _let_1)) :args (_let_28 false _let_2 true _let_29 false _let_30)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_24)) :args ((or _let_4 _let_23 _let_22 (not _let_24)))) _let_13 _let_16 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (tptp.n tptp.m _let_10 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.less_than X Z) true)) (not (= (tptp.less_than X Y) false))))) :args _let_25)) _let_26 :args (_let_24 false _let_8)) :args (_let_22 true _let_4 false _let_11 false _let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (tptp.m _let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.less_than X Y) true))))) :args _let_20)) _let_21 :args (_let_19 false _let_7)) :args (_let_12 true _let_18 true _let_17 false _let_19)) _let_16 _let_13 :args (false false _let_12 false _let_11 true _let_4)) :args ((forall ((X $$unsorted)) (= (tptp.predecessor (tptp.successor X)) X)) (forall ((X $$unsorted)) (= (tptp.successor (tptp.predecessor X)) X)) (forall ((X $$unsorted) (Y $$unsorted)) (or (= X Y) (not (= (tptp.predecessor X) (tptp.predecessor Y))))) (forall ((X $$unsorted) (Y $$unsorted)) (or (= X Y) (not (= (tptp.successor X) (tptp.successor Y))))) (forall ((X $$unsorted)) (tptp.less_than (tptp.predecessor X) X)) _let_9 _let_8 _let_7 (forall ((X $$unsorted)) (not (tptp.less_than X X))) _let_6 (forall ((Y $$unsorted) (Z $$unsorted) (X $$unsorted)) (or (tptp.less_than Y Z) (not (= X Y)) (not (tptp.less_than X Z)))) (forall ((Z $$unsorted) (Y $$unsorted) (X $$unsorted)) (or (tptp.less_than Z Y) (not (= X Y)) (not (tptp.less_than Z X)))) (not (tptp.less_than tptp.n tptp.k)) (not (tptp.less_than tptp.k tptp.i)) (tptp.less_than tptp.i tptp.n) _let_5 _let_3 (not (tptp.less_than tptp.i tptp.one)) (not (= tptp.k tptp.m)) _let_2 (forall ((X $$unsorted)) (or (not (tptp.less_than tptp.one X)) (not (tptp.less_than X tptp.i)) (not (tptp.less_than (tptp.a X) (tptp.a (tptp.predecessor X)))))) (forall ((X $$unsorted)) (or (tptp.less_than X tptp.i) (tptp.less_than tptp.n X) (not (tptp.less_than tptp.one X)) (not (tptp.less_than (tptp.a X) (tptp.a (tptp.predecessor tptp.i)))))) _let_1))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.54 )
% 0.21/0.55 % SZS output end Proof for SWV007-1
% 0.21/0.55 % cvc5---1.0.5 exiting
% 0.21/0.55 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------