TSTP Solution File: GEO001-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO001-2 : 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 : n017.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 11:11:21 EDT 2024
% Result : Unsatisfiable 0.13s 0.38s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 17 ( 9 unt; 0 def)
% Number of atoms : 29 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 15 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-5 aty)
% Number of variables : 35 ( 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f89,plain,
$false,
inference(resolution,[],[f88,f19]) ).
fof(f19,axiom,
between(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_between_a_and_c) ).
fof(f88,plain,
~ between(a,b,c),
inference(resolution,[],[f84,f25]) ).
fof(f25,plain,
! [X0,X1] : between(X0,X1,X1),
inference(superposition,[],[f4,f22]) ).
fof(f22,plain,
! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0,
inference(resolution,[],[f5,f3]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_for_equidistance) ).
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(f4,axiom,
! [X3,X0,X1,X5] : between(X0,X1,extension(X0,X1,X5,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',segment_construction1) ).
fof(f84,plain,
( ~ between(b,c,c)
| ~ between(a,b,c) ),
inference(resolution,[],[f73,f20]) ).
fof(f20,axiom,
~ between(c,b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_between_c_and_a) ).
fof(f73,plain,
( between(c,b,a)
| ~ between(b,c,c)
| ~ between(a,b,c) ),
inference(superposition,[],[f9,f68]) ).
fof(f68,plain,
b = inner_pasch(a,b,c,c,b),
inference(resolution,[],[f51,f19]) ).
fof(f51,plain,
! [X2,X0,X1] :
( ~ between(X2,X0,X1)
| inner_pasch(X2,X0,X1,X1,X0) = X0 ),
inference(resolution,[],[f44,f25]) ).
fof(f44,plain,
! [X2,X3,X0,X1] :
( ~ between(X3,X0,X2)
| ~ between(X0,X1,X2)
| inner_pasch(X3,X0,X2,X1,X0) = X0 ),
inference(resolution,[],[f8,f7]) ).
fof(f7,axiom,
! [X0,X1] :
( ~ between(X0,X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_for_betweeness) ).
fof(f8,axiom,
! [X3,X10,X0,X1,X5] :
( between(X3,inner_pasch(X10,X3,X5,X0,X1),X1)
| ~ between(X1,X0,X5)
| ~ between(X10,X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inner_pasch1) ).
fof(f9,axiom,
! [X3,X10,X0,X1,X5] :
( between(X0,inner_pasch(X10,X3,X5,X0,X1),X10)
| ~ between(X1,X0,X5)
| ~ between(X10,X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inner_pasch2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO001-2 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n017.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 05:20:33 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % (14347)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (14350)WARNING: value z3 for option sas not known
% 0.13/0.37 % (14352)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 % (14354)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 % (14353)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 % (14349)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 % (14351)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (14350)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)
% 0.13/0.38 TRYING [1]
% 0.13/0.38 % (14348)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.38 TRYING [2]
% 0.13/0.38 % (14353)First to succeed.
% 0.13/0.38 % (14353)Refutation found. Thanks to Tanya!
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.38 % (14353)------------------------------
% 0.13/0.38 % (14353)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.38 % (14353)Termination reason: Refutation
% 0.13/0.38
% 0.13/0.38 % (14353)Memory used [KB]: 878
% 0.13/0.38 % (14353)Time elapsed: 0.006 s
% 0.13/0.38 % (14353)Instructions burned: 8 (million)
% 0.13/0.38 % (14353)------------------------------
% 0.13/0.38 % (14353)------------------------------
% 0.13/0.38 % (14347)Success in time 0.021 s
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