TSTP Solution File: GEO030-3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO030-3 : 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 : n008.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 11:13:17 EDT 2024
% Result : Unsatisfiable 35.46s 5.43s
% Output : Refutation 35.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of formulae : 16 ( 10 unt; 0 def)
% Number of atoms : 36 ( 5 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 42 ( 22 ~; 19 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-6 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 40 ( 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f273823,plain,
$false,
inference(unit_resulting_resolution,[],[f68,f65,f20,f66,f67,f118157,f76]) ).
fof(f76,plain,
! [X3,X0,X1,X8,X6,X9,X7] :
( ~ sP1(X3,X9,X0,X8,X1,X7)
| ~ between(X6,X7,X8)
| ~ equidistant(X1,X3,X7,X9)
| ~ equidistant(X0,X3,X6,X9)
| ~ equidistant(X0,X1,X6,X7)
| X0 = X1 ),
inference(general_splitting,[],[f6,f75_D]) ).
fof(f75,plain,
! [X2,X3,X0,X1,X8,X9,X7] :
( ~ equidistant(X1,X2,X7,X8)
| ~ between(X0,X1,X2)
| equidistant(X2,X3,X8,X9)
| sP1(X3,X9,X0,X8,X1,X7) ),
inference(cnf_transformation,[],[f75_D]) ).
fof(f75_D,plain,
! [X7,X1,X8,X0,X9,X3] :
( ! [X2] :
( ~ equidistant(X1,X2,X7,X8)
| ~ between(X0,X1,X2)
| equidistant(X2,X3,X8,X9) )
<=> ~ sP1(X3,X9,X0,X8,X1,X7) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f6,axiom,
! [X2,X3,X0,X1,X8,X6,X9,X7] :
( X0 = X1
| ~ between(X6,X7,X8)
| ~ between(X0,X1,X2)
| ~ equidistant(X1,X3,X7,X9)
| ~ equidistant(X0,X3,X6,X9)
| ~ equidistant(X1,X2,X7,X8)
| ~ equidistant(X0,X1,X6,X7)
| equidistant(X2,X3,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',outer_five_segment) ).
fof(f118157,plain,
sP1(w,w1,u,w,v,v),
inference(unit_resulting_resolution,[],[f65,f527,f20,f75]) ).
fof(f527,plain,
! [X0] : ~ equidistant(X0,X0,w,w1),
inference(unit_resulting_resolution,[],[f109,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(f109,plain,
! [X0] : ~ equidistant(w,w1,X0,X0),
inference(unit_resulting_resolution,[],[f69,f3]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_for_equidistance) ).
fof(f69,axiom,
w != w1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_w_is_w1) ).
fof(f67,axiom,
equidistant(v,w,v,w1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_to_w_equals_v_to_w1) ).
fof(f66,axiom,
equidistant(u,w,u,w1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_to_w_equals_u_to_w1) ).
fof(f20,axiom,
! [X3,X10] : equidistant(X10,X3,X10,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1) ).
fof(f65,axiom,
between(u,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_w) ).
fof(f68,axiom,
u != v,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_not_v) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO030-3 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % 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 05:48:57 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (18643)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (18647)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.36 Detected minimum model sizes of [3]
% 0.14/0.36 Detected maximum model sizes of [max]
% 0.21/0.37 TRYING [3]
% 0.21/0.37 % (18646)WARNING: value z3 for option sas not known
% 0.21/0.37 % (18644)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.37 % (18646)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)
% 0.21/0.37 % (18649)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)
% 0.21/0.37 % (18648)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)
% 0.21/0.37 % (18645)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.37 % (18650)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)
% 0.21/0.40 Detected minimum model sizes of [3]
% 0.21/0.40 Detected maximum model sizes of [max]
% 0.21/0.42 TRYING [4]
% 0.21/0.43 TRYING [3]
% 3.44/0.85 TRYING [5]
% 4.94/1.04 TRYING [4]
% 7.92/1.47 Detected minimum model sizes of [3]
% 7.92/1.47 Detected maximum model sizes of [max]
% 7.92/1.47 TRYING [3]
% 7.92/1.50 TRYING [4]
% 9.95/1.76 TRYING [5]
% 22.81/3.61 TRYING [6]
% 27.28/4.22 TRYING [6]
% 35.46/5.41 % (18650)First to succeed.
% 35.46/5.43 % (18650)Refutation found. Thanks to Tanya!
% 35.46/5.43 % SZS status Unsatisfiable for theBenchmark
% 35.46/5.43 % SZS output start Proof for theBenchmark
% See solution above
% 35.46/5.43 % (18650)------------------------------
% 35.46/5.43 % (18650)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 35.46/5.43 % (18650)Termination reason: Refutation
% 35.46/5.43
% 35.46/5.43 % (18650)Memory used [KB]: 98106
% 35.46/5.43 % (18650)Time elapsed: 5.048 s
% 35.46/5.43 % (18650)Instructions burned: 19357 (million)
% 35.46/5.43 % (18650)------------------------------
% 35.46/5.43 % (18650)------------------------------
% 35.46/5.43 % (18643)Success in time 5.038 s
%------------------------------------------------------------------------------