TSTP Solution File: GEO002-4 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO002-4 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n004.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 : Tue Apr 30 11:11:22 EDT 2024
% Result : Unsatisfiable 0.21s 0.38s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 23 ( 8 unt; 0 def)
% Number of atoms : 55 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 65 ( 33 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-5 aty)
% Number of variables : 86 ( 86 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f109,plain,
$false,
inference(resolution,[],[f91,f8]) ).
fof(f8,axiom,
~ between(a,a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_between_a_and_b) ).
fof(f91,plain,
! [X0,X1] : between(X0,X0,X1),
inference(resolution,[],[f80,f30]) ).
fof(f30,plain,
! [X0,X1] : between(X0,X1,X1),
inference(resolution,[],[f19,f13]) ).
fof(f13,plain,
! [X0] : between(X0,X0,X0),
inference(resolution,[],[f11,f5]) ).
fof(f5,axiom,
! [X2,X0,X1,X4] : between(X0,X1,extension(X0,X1,X4,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',segment_construction1) ).
fof(f11,plain,
! [X2,X3,X0,X1,X4] :
( ~ between(X0,X1,extension(X1,X2,X3,X4))
| between(X0,X1,X2) ),
inference(resolution,[],[f1,f5]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] :
( ~ between(X1,X3,X2)
| ~ between(X0,X1,X2)
| between(X0,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_for_betweeness) ).
fof(f19,plain,
! [X2,X0,X1] :
( ~ between(X0,X1,X0)
| between(X2,X0,X1) ),
inference(resolution,[],[f17,f5]) ).
fof(f17,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ between(X3,X0,extension(X4,X2,X5,X5))
| ~ between(X0,X1,X2)
| between(X3,X0,X1) ),
inference(resolution,[],[f10,f1]) ).
fof(f10,plain,
! [X2,X3,X0,X1,X4] :
( between(X0,X1,extension(X3,X2,X4,X4))
| ~ between(X0,X1,X2) ),
inference(resolution,[],[f7,f9]) ).
fof(f9,plain,
! [X2,X0,X1] : equalish(X0,extension(X1,X0,X2,X2)),
inference(resolution,[],[f6,f2]) ).
fof(f2,axiom,
! [X3,X0,X1] :
( ~ equidistant(X0,X1,X3,X3)
| equalish(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_for_equidistance) ).
fof(f6,axiom,
! [X2,X0,X1,X4] : equidistant(X1,extension(X0,X1,X4,X2),X4,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',segment_construction2) ).
fof(f7,axiom,
! [X3,X0,X1,X4] :
( ~ equalish(X0,X1)
| ~ between(X4,X3,X0)
| between(X4,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',between_substitution3) ).
fof(f80,plain,
! [X2,X0,X1] :
( ~ between(X0,X1,X2)
| between(X2,X1,X0) ),
inference(resolution,[],[f66,f30]) ).
fof(f66,plain,
! [X2,X3,X0,X1] :
( ~ between(X1,X3,X0)
| ~ between(X0,X1,X2)
| between(X2,X1,X3) ),
inference(resolution,[],[f52,f30]) ).
fof(f52,plain,
! [X2,X3,X0,X1,X4] :
( ~ between(X1,X0,X3)
| ~ between(X2,X3,X4)
| ~ between(X0,X1,X2)
| between(X4,X0,X1) ),
inference(duplicate_literal_removal,[],[f46]) ).
fof(f46,plain,
! [X2,X3,X0,X1,X4] :
( ~ between(X0,X1,X2)
| ~ between(X2,X3,X4)
| ~ between(X1,X0,X3)
| between(X4,X0,X1)
| ~ between(X2,X3,X4)
| ~ between(X1,X0,X3) ),
inference(resolution,[],[f18,f4]) ).
fof(f4,axiom,
! [X2,X3,X0,X1,X4] :
( between(X3,X4,outer_pasch(X4,X0,X1,X3,X2))
| ~ between(X1,X2,X3)
| ~ between(X0,X4,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',outer_pasch2) ).
fof(f18,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ between(X6,X3,outer_pasch(X1,X0,X4,X5,X2))
| ~ between(X3,X0,X4)
| ~ between(X4,X2,X5)
| ~ between(X0,X1,X2)
| between(X6,X3,X0) ),
inference(resolution,[],[f12,f1]) ).
fof(f12,plain,
! [X2,X3,X0,X1,X4,X5] :
( between(X5,X3,outer_pasch(X4,X3,X0,X2,X1))
| ~ between(X3,X4,X1)
| ~ between(X5,X3,X0)
| ~ between(X0,X1,X2) ),
inference(resolution,[],[f3,f1]) ).
fof(f3,axiom,
! [X2,X3,X0,X1,X4] :
( between(X0,outer_pasch(X4,X0,X1,X3,X2),X1)
| ~ between(X1,X2,X3)
| ~ between(X0,X4,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',outer_pasch1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO002-4 : TPTP v8.1.2. Released v1.1.0.
% 0.04/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n004.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 : Tue Apr 30 05:40:18 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (7707)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.38 % (7708)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.38 % (7710)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.21/0.38 % (7712)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.21/0.38 % (7709)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.38 % (7711)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.21/0.38 % (7713)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.21/0.38 % (7714)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [1,1]
% 0.21/0.38 TRYING [1,1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 TRYING [2,1]
% 0.21/0.38 TRYING [2,1]
% 0.21/0.38 TRYING [3]
% 0.21/0.38 TRYING [3,1]
% 0.21/0.38 TRYING [3,1]
% 0.21/0.38 TRYING [3]
% 0.21/0.38 % (7713)First to succeed.
% 0.21/0.38 % (7713)Refutation found. Thanks to Tanya!
% 0.21/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.38 % (7713)------------------------------
% 0.21/0.38 % (7713)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.38 % (7713)Termination reason: Refutation
% 0.21/0.38
% 0.21/0.38 % (7713)Memory used [KB]: 782
% 0.21/0.38 % (7713)Time elapsed: 0.008 s
% 0.21/0.38 % (7713)Instructions burned: 12 (million)
% 0.21/0.38 % (7713)------------------------------
% 0.21/0.38 % (7713)------------------------------
% 0.21/0.38 % (7707)Success in time 0.023 s
%------------------------------------------------------------------------------