TSTP Solution File: GEO033-3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO033-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n027.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 11:13:18 EDT 2024
% Result : Unsatisfiable 62.96s 9.39s
% Output : Refutation 62.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 11
% Syntax : Number of formulae : 21 ( 15 unt; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 44 ( 23 ~; 20 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-6 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 39 ( 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f563918,plain,
$false,
inference(unit_resulting_resolution,[],[f72,f401246,f416,f414,f242676,f81]) ).
fof(f81,plain,
! [X10,X0,X11,X6,X9,X5,X12] :
( ~ sP1(X6,X10,X9,X11,X0,X5)
| ~ equidistant(X5,X0,X12,X6)
| ~ equidistant(X10,X0,X11,X6)
| ~ equidistant(X10,X5,X11,X12)
| ~ between(X11,X9,X12) ),
inference(general_splitting,[],[f66,f80_D]) ).
fof(f80,plain,
! [X3,X10,X0,X11,X6,X9,X5] :
( ~ equidistant(X10,X3,X11,X9)
| ~ between(X10,X3,X5)
| equidistant(X3,X0,X9,X6)
| sP1(X6,X10,X9,X11,X0,X5) ),
inference(cnf_transformation,[],[f80_D]) ).
fof(f80_D,plain,
! [X5,X0,X11,X9,X10,X6] :
( ! [X3] :
( ~ equidistant(X10,X3,X11,X9)
| ~ between(X10,X3,X5)
| equidistant(X3,X0,X9,X6) )
<=> ~ sP1(X6,X10,X9,X11,X0,X5) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f66,axiom,
! [X3,X10,X0,X11,X6,X9,X5,X12] :
( ~ between(X10,X3,X5)
| ~ between(X11,X9,X12)
| ~ equidistant(X10,X3,X11,X9)
| ~ equidistant(X5,X0,X12,X6)
| ~ equidistant(X10,X0,X11,X6)
| ~ equidistant(X10,X5,X11,X12)
| equidistant(X3,X0,X9,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d12) ).
fof(f242676,plain,
sP1(x,u1,v,u,x1,w1),
inference(unit_resulting_resolution,[],[f73,f406,f413,f80]) ).
fof(f413,plain,
equidistant(u1,v1,u,v),
inference(unit_resulting_resolution,[],[f68,f21]) ).
fof(f21,axiom,
! [X3,X10,X0,X5] :
( ~ equidistant(X10,X3,X5,X0)
| equidistant(X5,X0,X10,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2) ).
fof(f68,axiom,
equidistant(u,v,u1,v1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_to_v_equals_u1_to_v1) ).
fof(f406,plain,
~ equidistant(v1,x1,v,x),
inference(unit_resulting_resolution,[],[f74,f21]) ).
fof(f74,axiom,
~ equidistant(v,x,v1,x1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_v_to_x_equals_v1_to_x1) ).
fof(f73,axiom,
between(u1,v1,w1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v1_between_u1_and_w1) ).
fof(f414,plain,
equidistant(u1,x1,u,x),
inference(unit_resulting_resolution,[],[f70,f21]) ).
fof(f70,axiom,
equidistant(u,x,u1,x1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_to_x_equals_u1_to_x1) ).
fof(f416,plain,
equidistant(w1,x1,w,x),
inference(unit_resulting_resolution,[],[f71,f21]) ).
fof(f71,axiom,
equidistant(w,x,w1,x1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_to_x_equals_w1_to_x1) ).
fof(f401246,plain,
equidistant(u1,w1,u,w),
inference(unit_resulting_resolution,[],[f72,f413,f73,f415,f37]) ).
fof(f37,axiom,
! [X3,X10,X11,X9,X5,X12] :
( ~ equidistant(X3,X5,X9,X12)
| ~ between(X10,X3,X5)
| ~ between(X11,X9,X12)
| ~ equidistant(X10,X3,X11,X9)
| equidistant(X10,X5,X11,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8) ).
fof(f415,plain,
equidistant(v1,w1,v,w),
inference(unit_resulting_resolution,[],[f69,f21]) ).
fof(f69,axiom,
equidistant(v,w,v1,w1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_to_w_equals_v1_to_w1) ).
fof(f72,axiom,
between(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_w) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO033-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.12/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n027.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 06:19:47 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (20768)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (20771)WARNING: value z3 for option sas not known
% 0.14/0.38 % (20769)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (20772)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (20770)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (20773)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)
% 0.14/0.38 % (20771)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)
% 0.14/0.38 % (20774)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)
% 0.14/0.38 % (20775)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)
% 0.14/0.38 Detected minimum model sizes of [3]
% 0.14/0.38 Detected maximum model sizes of [max]
% 0.14/0.39 TRYING [3]
% 0.14/0.41 Detected minimum model sizes of [3]
% 0.14/0.41 Detected maximum model sizes of [max]
% 0.21/0.44 TRYING [3]
% 0.21/0.48 TRYING [4]
% 4.12/0.98 TRYING [5]
% 5.14/1.14 TRYING [4]
% 7.89/1.48 Detected minimum model sizes of [3]
% 7.89/1.48 Detected maximum model sizes of [max]
% 7.89/1.48 TRYING [3]
% 8.08/1.51 TRYING [4]
% 10.11/1.80 TRYING [5]
% 32.48/4.99 TRYING [6]
% 34.72/5.29 TRYING [6]
% 49.12/7.35 TRYING [5]
% 62.96/9.37 % (20775)First to succeed.
% 62.96/9.39 % (20775)Refutation found. Thanks to Tanya!
% 62.96/9.39 % SZS status Unsatisfiable for theBenchmark
% 62.96/9.39 % SZS output start Proof for theBenchmark
% See solution above
% 62.96/9.39 % (20775)------------------------------
% 62.96/9.39 % (20775)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 62.96/9.39 % (20775)Termination reason: Refutation
% 62.96/9.39
% 62.96/9.39 % (20775)Memory used [KB]: 150675
% 62.96/9.39 % (20775)Time elapsed: 8.992 s
% 62.96/9.39 % (20775)Instructions burned: 34648 (million)
% 62.96/9.39 % (20775)------------------------------
% 62.96/9.39 % (20775)------------------------------
% 62.96/9.39 % (20768)Success in time 8.974 s
%------------------------------------------------------------------------------