TSTP Solution File: GEO029-3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO029-3 : 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 : n003.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 11:13:16 EDT 2024
% Result : Unsatisfiable 11.01s 1.99s
% Output : Refutation 11.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 11
% Syntax : Number of formulae : 17 ( 13 unt; 0 def)
% Number of atoms : 25 ( 6 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 18 ( 10 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-4 aty)
% Number of variables : 46 ( 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f96622,plain,
$false,
inference(unit_resulting_resolution,[],[f39,f31,f4,f45,f1705,f38]) ).
fof(f38,axiom,
! [X3,X10,X0,X5] :
( ~ equidistant(X3,X5,X3,X0)
| X3 = X10
| ~ between(X10,X3,X5)
| ~ between(X10,X3,X0)
| X0 = X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9) ).
fof(f1705,plain,
! [X2,X3,X0,X1] : equidistant(X0,extension(X1,X0,X2,X3),X2,reflection(X3,X2)),
inference(unit_resulting_resolution,[],[f144,f191,f2]) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X0,X1,X4,X5)
| equidistant(X2,X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_for_equidistance) ).
fof(f191,plain,
! [X2,X3,X0,X1] : equidistant(X0,X1,X2,extension(X3,X2,X1,X0)),
inference(unit_resulting_resolution,[],[f143,f22]) ).
fof(f22,axiom,
! [X3,X10,X0,X5] :
( ~ equidistant(X10,X3,X5,X0)
| equidistant(X3,X10,X5,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3) ).
fof(f143,plain,
! [X2,X3,X0,X1] : equidistant(X0,X1,X2,extension(X3,X2,X0,X1)),
inference(unit_resulting_resolution,[],[f5,f21]) ).
fof(f21,axiom,
! [X3,X10,X0,X5] :
( ~ equidistant(X10,X3,X5,X0)
| equidistant(X5,X0,X10,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2) ).
fof(f5,axiom,
! [X3,X0,X1,X5] : equidistant(X1,extension(X0,X1,X5,X3),X5,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',segment_construction2) ).
fof(f144,plain,
! [X0,X1] : equidistant(X0,X1,X1,reflection(X0,X1)),
inference(unit_resulting_resolution,[],[f32,f21]) ).
fof(f32,axiom,
! [X3,X10] : equidistant(X3,reflection(X10,X3),X10,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',r2_2) ).
fof(f45,plain,
extension(u,v,v,u) != reflection(u,v),
inference(forward_demodulation,[],[f40,f19]) ).
fof(f19,axiom,
! [X3,X10] : reflection(X10,X3) = extension(X10,X3,X10,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflection) ).
fof(f40,axiom,
extension(u,v,u,v) != extension(u,v,v,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equal_extensions) ).
fof(f4,axiom,
! [X3,X0,X1,X5] : between(X0,X1,extension(X0,X1,X5,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',segment_construction1) ).
fof(f31,axiom,
! [X3,X10] : between(X10,X3,reflection(X10,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',r2_1) ).
fof(f39,axiom,
u != v,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_not_v) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO029-3 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n003.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 05:53:48 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % (8561)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (8564)WARNING: value z3 for option sas not known
% 0.13/0.37 % (8565)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (8562)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (8563)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (8567)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)
% 0.13/0.37 % (8568)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)
% 0.13/0.37 % (8564)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)
% 0.13/0.37 % (8566)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)
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.38 TRYING [3]
% 0.13/0.39 TRYING [1]
% 0.13/0.40 TRYING [2]
% 0.20/0.44 TRYING [4]
% 0.20/0.50 TRYING [3]
% 3.00/0.77 TRYING [5]
% 4.12/0.95 TRYING [4]
% 7.91/1.47 TRYING [1]
% 7.91/1.47 TRYING [2]
% 7.91/1.48 TRYING [3]
% 8.23/1.51 TRYING [4]
% 10.33/1.88 TRYING [5]
% 11.01/1.99 % (8568)First to succeed.
% 11.01/1.99 % (8568)Refutation found. Thanks to Tanya!
% 11.01/1.99 % SZS status Unsatisfiable for theBenchmark
% 11.01/1.99 % SZS output start Proof for theBenchmark
% See solution above
% 11.01/1.99 % (8568)------------------------------
% 11.01/1.99 % (8568)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 11.01/1.99 % (8568)Termination reason: Refutation
% 11.01/1.99
% 11.01/1.99 % (8568)Memory used [KB]: 8452
% 11.01/1.99 % (8568)Time elapsed: 1.616 s
% 11.01/1.99 % (8568)Instructions burned: 6016 (million)
% 11.01/1.99 % (8568)------------------------------
% 11.01/1.99 % (8568)------------------------------
% 11.01/1.99 % (8561)Success in time 1.612 s
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