TSTP Solution File: LCL784-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LCL784-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n002.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 : Wed Aug 31 17:49:57 EDT 2022
% Result : Unsatisfiable 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 24 ( 24 unt; 0 def)
% Number of atoms : 24 ( 19 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 14 con; 0-5 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f431,plain,
$false,
inference(subsumption_resolution,[],[f430,f324]) ).
fof(f324,plain,
~ hBOOL(sF5),
inference(definition_folding,[],[f297,f323,f322,f321,f320,f319,f318]) ).
fof(f318,plain,
c_Lambda_OdB_OVar(v_n____) = sF0,
introduced(function_definition,[]) ).
fof(f319,plain,
c_List_Ofoldl(c_Lambda_OdB_OApp,sF0,v_rs____,tc_Lambda_OdB,tc_Lambda_OdB) = sF1,
introduced(function_definition,[]) ).
fof(f320,plain,
sF2 = hAPP(c_Lambda_Osubst,sF1),
introduced(function_definition,[]) ).
fof(f321,plain,
sF3 = hAPP(sF2,v_u____),
introduced(function_definition,[]) ).
fof(f322,plain,
sF4 = hAPP(sF3,v_i____),
introduced(function_definition,[]) ).
fof(f323,plain,
sF5 = hAPP(c_InductTermi_OIT,sF4),
introduced(function_definition,[]) ).
fof(f297,axiom,
~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB)),v_u____),v_i____))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f430,plain,
hBOOL(sF5),
inference(backward_demodulation,[],[f296,f429]) ).
fof(f429,plain,
hAPP(c_InductTermi_OIT,v_u____) = sF5,
inference(backward_demodulation,[],[f323,f426]) ).
fof(f426,plain,
v_u____ = sF4,
inference(backward_demodulation,[],[f343,f423]) ).
fof(f423,plain,
v_u____ = hAPP(sF3,v_n____),
inference(superposition,[],[f419,f321]) ).
fof(f419,plain,
! [X0] : hAPP(hAPP(sF2,X0),v_n____) = X0,
inference(forward_demodulation,[],[f416,f396]) ).
fof(f396,plain,
sF2 = hAPP(c_Lambda_Osubst,sF0),
inference(backward_demodulation,[],[f320,f394]) ).
fof(f394,plain,
sF0 = sF1,
inference(backward_demodulation,[],[f319,f393]) ).
fof(f393,plain,
! [X2,X0,X1] : c_List_Ofoldl(X0,X1,v_rs____,X2,tc_Lambda_OdB) = X1,
inference(superposition,[],[f245,f294]) ).
fof(f294,axiom,
c_List_Olist_ONil(tc_Lambda_OdB) = v_rs____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f245,axiom,
! [X2,X0,X12,X13] : c_List_Ofoldl(X12,X2,c_List_Olist_ONil(X13),X0,X13) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_foldl__Nil_0) ).
fof(f416,plain,
! [X0] : hAPP(hAPP(hAPP(c_Lambda_Osubst,sF0),X0),v_n____) = X0,
inference(superposition,[],[f221,f318]) ).
fof(f221,axiom,
! [X42,X33] : hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X42)),X33),X42) = X33,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subst__eq_0) ).
fof(f343,plain,
sF4 = hAPP(sF3,v_n____),
inference(forward_demodulation,[],[f322,f295]) ).
fof(f295,axiom,
v_n____ = v_i____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
fof(f296,axiom,
hBOOL(hAPP(c_InductTermi_OIT,v_u____)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_02) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL784-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n002.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 02:53:43 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 % (11041)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.46 % (11049)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.47 % (11041)Instruction limit reached!
% 0.19/0.47 % (11041)------------------------------
% 0.19/0.47 % (11041)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (11041)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (11041)Termination reason: Unknown
% 0.19/0.48 % (11041)Termination phase: Saturation
% 0.19/0.48
% 0.19/0.48 % (11041)Memory used [KB]: 5756
% 0.19/0.48 % (11041)Time elapsed: 0.006 s
% 0.19/0.48 % (11041)Instructions burned: 8 (million)
% 0.19/0.48 % (11041)------------------------------
% 0.19/0.48 % (11041)------------------------------
% 0.19/0.49 % (11051)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.50 % (11049)First to succeed.
% 0.19/0.50 % (11049)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (11049)------------------------------
% 0.19/0.50 % (11049)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (11049)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (11049)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (11049)Memory used [KB]: 1663
% 0.19/0.50 % (11049)Time elapsed: 0.097 s
% 0.19/0.50 % (11049)Instructions burned: 31 (million)
% 0.19/0.50 % (11049)------------------------------
% 0.19/0.50 % (11049)------------------------------
% 0.19/0.50 % (11033)Success in time 0.154 s
%------------------------------------------------------------------------------