TSTP Solution File: GEO059-3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO059-3 : 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 : n020.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 05:15:05 EDT 2024
% Result : Unsatisfiable 0.15s 0.39s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 26 ( 11 unt; 0 def)
% Number of atoms : 43 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 43 ( 26 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-4 aty)
% Number of variables : 55 ( 55 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f511,plain,
$false,
inference(resolution,[],[f487,f20]) ).
fof(f20,axiom,
! [X3,X10] : equidistant(X10,X3,X10,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1) ).
fof(f487,plain,
! [X0,X1] : ~ equidistant(v,v,X0,X1),
inference(duplicate_literal_removal,[],[f486]) ).
fof(f486,plain,
! [X0,X1] :
( ~ equidistant(v,v,X0,X1)
| ~ equidistant(v,v,X0,X1) ),
inference(forward_demodulation,[],[f485,f311]) ).
fof(f311,plain,
v = u,
inference(resolution,[],[f295,f137]) ).
fof(f137,plain,
! [X0,X1] :
( equidistant(X1,reflection(X0,X1),X1,X0)
| X0 = X1 ),
inference(superposition,[],[f5,f45]) ).
fof(f45,plain,
! [X3,X10] :
( reflection(X10,X3) = extension(X10,X3,X3,X10)
| X3 = X10 ),
inference(forward_demodulation,[],[f41,f19]) ).
fof(f19,axiom,
! [X3,X10] : reflection(X10,X3) = extension(X10,X3,X10,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflection) ).
fof(f41,axiom,
! [X3,X10] :
( X3 = X10
| extension(X10,X3,X10,X3) = extension(X10,X3,X3,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_3) ).
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(f295,plain,
~ equidistant(v,reflection(u,v),v,u),
inference(resolution,[],[f280,f22]) ).
fof(f22,axiom,
! [X3,X10,X0,X5] :
( equidistant(X3,X10,X5,X0)
| ~ equidistant(X10,X3,X5,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3) ).
fof(f280,plain,
~ equidistant(reflection(u,v),v,v,u),
inference(resolution,[],[f157,f32]) ).
fof(f32,axiom,
! [X3,X10] : equidistant(X3,reflection(X10,X3),X10,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r2_2) ).
fof(f157,plain,
! [X0,X1] :
( ~ equidistant(v,reflection(reflection(u,v),v),X0,X1)
| ~ equidistant(X0,X1,v,u) ),
inference(resolution,[],[f148,f21]) ).
fof(f21,axiom,
! [X3,X10,X0,X5] :
( equidistant(X5,X0,X10,X3)
| ~ equidistant(X10,X3,X5,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2) ).
fof(f148,plain,
! [X0,X1] :
( ~ equidistant(X0,X1,v,reflection(reflection(u,v),v))
| ~ equidistant(X0,X1,v,u) ),
inference(resolution,[],[f2,f42]) ).
fof(f42,axiom,
~ equidistant(v,u,v,reflection(reflection(u,v),v)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_congruence) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( equidistant(X2,X3,X4,X5)
| ~ equidistant(X0,X1,X4,X5)
| ~ equidistant(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_for_equidistance) ).
fof(f485,plain,
! [X0,X1] :
( ~ equidistant(v,v,X0,X1)
| ~ equidistant(v,u,X0,X1) ),
inference(forward_demodulation,[],[f484,f34]) ).
fof(f34,axiom,
! [X10] : reflection(X10,X10) = X10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r3_2) ).
fof(f484,plain,
! [X0,X1] :
( ~ equidistant(v,reflection(v,v),X0,X1)
| ~ equidistant(v,u,X0,X1) ),
inference(forward_demodulation,[],[f384,f34]) ).
fof(f384,plain,
! [X0,X1] :
( ~ equidistant(v,reflection(reflection(v,v),v),X0,X1)
| ~ equidistant(v,u,X0,X1) ),
inference(backward_demodulation,[],[f269,f311]) ).
fof(f269,plain,
! [X0,X1] :
( ~ equidistant(v,u,X0,X1)
| ~ equidistant(v,reflection(reflection(u,v),v),X0,X1) ),
inference(resolution,[],[f249,f21]) ).
fof(f249,plain,
! [X0,X1] :
( ~ equidistant(X0,X1,v,reflection(reflection(u,v),v))
| ~ equidistant(v,u,X0,X1) ),
inference(resolution,[],[f28,f42]) ).
fof(f28,axiom,
! [X2,X3,X10,X0,X1,X5] :
( equidistant(X10,X3,X1,X2)
| ~ equidistant(X5,X0,X1,X2)
| ~ equidistant(X10,X3,X5,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO059-3 : TPTP v8.1.2. Released v1.0.0.
% 0.14/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n020.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 22:05:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (1985)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (1991)WARNING: value z3 for option sas not known
% 0.15/0.38 % (1990)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (1989)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (1992)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (1991)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)
% 0.15/0.38 % (1994)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)
% 0.15/0.38 % (1993)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)
% 0.15/0.38 % (1995)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)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 % (1994)First to succeed.
% 0.15/0.39 % (1994)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1985"
% 0.15/0.39 % (1991)Also succeeded, but the first one will report.
% 0.15/0.39 % (1995)Also succeeded, but the first one will report.
% 0.15/0.39 % (1994)Refutation found. Thanks to Tanya!
% 0.15/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.39 % (1994)------------------------------
% 0.15/0.39 % (1994)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.39 % (1994)Termination reason: Refutation
% 0.15/0.39
% 0.15/0.39 % (1994)Memory used [KB]: 962
% 0.15/0.39 % (1994)Time elapsed: 0.013 s
% 0.15/0.39 % (1994)Instructions burned: 20 (million)
% 0.15/0.39 % (1985)Success in time 0.031 s
%------------------------------------------------------------------------------