TSTP Solution File: GEO067-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO067-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n017.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 : Sun May 5 05:15:07 EDT 2024
% Result : Unsatisfiable 0.12s 0.36s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 19 ( 13 unt; 0 def)
% Number of atoms : 29 ( 4 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 23 ( 13 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-4 aty)
% Number of variables : 41 ( 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f59,plain,
$false,
inference(subsumption_resolution,[],[f58,f39]) ).
fof(f39,plain,
! [X0,X1] : colinear(X1,X0,X1),
inference(superposition,[],[f31,f35]) ).
fof(f35,plain,
! [X2,X0,X1] : extension(X0,X1,X2,X2) = X1,
inference(unit_resulting_resolution,[],[f5,f3]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_for_equidistance) ).
fof(f5,axiom,
! [X3,X0,X1,X5] : equidistant(X1,extension(X0,X1,X5,X3),X5,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',segment_construction2) ).
fof(f31,plain,
! [X2,X3,X0,X1] : colinear(extension(X0,X1,X2,X3),X0,X1),
inference(unit_resulting_resolution,[],[f4,f20]) ).
fof(f20,axiom,
! [X2,X0,X1] :
( ~ between(X1,X2,X0)
| colinear(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',colinearity2) ).
fof(f4,axiom,
! [X3,X0,X1,X5] : between(X0,X1,extension(X0,X1,X5,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',segment_construction1) ).
fof(f58,plain,
~ colinear(x,z,x),
inference(forward_demodulation,[],[f55,f52]) ).
fof(f52,plain,
x = y,
inference(unit_resulting_resolution,[],[f38,f39,f40,f23]) ).
fof(f23,axiom,
( ~ colinear(y,x,x)
| x = y
| ~ colinear(x,y,x)
| ~ colinear(x,x,y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',part_1) ).
fof(f40,plain,
! [X0,X1] : colinear(X0,X1,X1),
inference(superposition,[],[f29,f35]) ).
fof(f29,plain,
! [X2,X3,X0,X1] : colinear(X0,X1,extension(X0,X1,X2,X3)),
inference(unit_resulting_resolution,[],[f4,f19]) ).
fof(f19,axiom,
! [X2,X0,X1] :
( ~ between(X0,X1,X2)
| colinear(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',colinearity1) ).
fof(f38,plain,
! [X0,X1] : colinear(X1,X1,X0),
inference(superposition,[],[f33,f35]) ).
fof(f33,plain,
! [X2,X3,X0,X1] : colinear(X0,extension(X1,X0,X2,X3),X1),
inference(unit_resulting_resolution,[],[f4,f21]) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ between(X2,X0,X1)
| colinear(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',colinearity3) ).
fof(f55,plain,
~ colinear(x,z,y),
inference(unit_resulting_resolution,[],[f38,f39,f40,f24]) ).
fof(f24,axiom,
( ~ colinear(y,x,x)
| ~ colinear(x,z,y)
| ~ colinear(x,y,x)
| ~ colinear(x,x,y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',part_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : GEO067-2 : TPTP v8.1.2. Released v1.0.0.
% 0.02/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34 % Computer : n017.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 : Fri May 3 22:05:38 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % (23834)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.35 % (23837)WARNING: value z3 for option sas not known
% 0.12/0.35 % (23836)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.36 % (23841)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.12/0.36 % (23837)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.36 % (23838)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.36 % (23840)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.12/0.36 % (23839)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.12/0.36 % (23841)First to succeed.
% 0.12/0.36 % (23841)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23834"
% 0.12/0.36 TRYING [1]
% 0.12/0.36 % (23835)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.36 % (23837)Also succeeded, but the first one will report.
% 0.12/0.36 % (23841)Refutation found. Thanks to Tanya!
% 0.12/0.36 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.36 % (23841)------------------------------
% 0.12/0.36 % (23841)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.36 % (23841)Termination reason: Refutation
% 0.12/0.36
% 0.12/0.36 % (23841)Memory used [KB]: 816
% 0.12/0.36 % (23841)Time elapsed: 0.004 s
% 0.12/0.36 % (23841)Instructions burned: 5 (million)
% 0.12/0.36 % (23834)Success in time 0.018 s
%------------------------------------------------------------------------------