TSTP Solution File: GEO022-3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO022-3 : 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 : n013.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 05:14:11 EDT 2024
% Result : Unsatisfiable 0.18s 0.34s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 9 ( 6 unt; 0 def)
% Number of atoms : 13 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 12 ( 8 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f140,plain,
$false,
inference(resolution,[],[f133,f27]) ).
fof(f27,axiom,
equidistant(u,v,w,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_to_v_equals_w_to_x) ).
fof(f133,plain,
~ equidistant(u,v,w,x),
inference(resolution,[],[f120,f20]) ).
fof(f20,axiom,
! [X3,X10,X0,X5] :
( equidistant(X5,X0,X10,X3)
| ~ equidistant(X10,X3,X5,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2) ).
fof(f120,plain,
~ equidistant(w,x,u,v),
inference(resolution,[],[f112,f28]) ).
fof(f28,axiom,
equidistant(w,x,y,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_to_x_equals_y_to_z) ).
fof(f112,plain,
! [X0,X1] :
( ~ equidistant(X0,X1,y,z)
| ~ equidistant(X0,X1,u,v) ),
inference(resolution,[],[f2,f29]) ).
fof(f29,axiom,
~ equidistant(u,v,y,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_transitivity) ).
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/sandbox/benchmark/theBenchmark.p',transitivity_for_equidistance) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : GEO022-3 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.32 % Computer : n013.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Fri May 3 22:02:23 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.12/0.32 % (9847)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.34 % (9850)WARNING: value z3 for option sas not known
% 0.12/0.34 % (9850)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)
% 0.12/0.34 % (9851)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.34 % (9849)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.34 % (9848)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.34 % (9852)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)
% 0.12/0.34 % (9854)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)
% 0.12/0.34 % (9853)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)
% 0.12/0.34 TRYING [1]
% 0.12/0.34 TRYING [2]
% 0.18/0.34 % (9853)First to succeed.
% 0.18/0.34 % (9853)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-9847"
% 0.18/0.34 % (9853)Refutation found. Thanks to Tanya!
% 0.18/0.34 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.34 % (9853)------------------------------
% 0.18/0.34 % (9853)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.18/0.34 % (9853)Termination reason: Refutation
% 0.18/0.34
% 0.18/0.34 % (9853)Memory used [KB]: 793
% 0.18/0.34 % (9853)Time elapsed: 0.005 s
% 0.18/0.34 % (9853)Instructions burned: 7 (million)
% 0.18/0.34 % (9847)Success in time 0.02 s
%------------------------------------------------------------------------------