TSTP Solution File: GEO006-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO006-1 : TPTP v8.1.2. Bugfixed v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n014.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 11:11:23 EDT 2024
% Result : Unsatisfiable 0.20s 0.44s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 17
% Syntax : Number of formulae : 49 ( 12 unt; 0 def)
% Number of atoms : 105 ( 16 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 108 ( 52 ~; 52 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-5 aty)
% Number of variables : 46 ( 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1605,plain,
$false,
inference(avatar_sat_refutation,[],[f34,f273,f1588,f1602]) ).
fof(f1602,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f1601]) ).
fof(f1601,plain,
( $false
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f1597,f21]) ).
fof(f21,axiom,
a != c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_c) ).
fof(f1597,plain,
( a = c
| ~ spl0_1 ),
inference(resolution,[],[f1591,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ between(X0,X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_for_betweeness) ).
fof(f1591,plain,
( between(c,a,c)
| ~ spl0_1 ),
inference(resolution,[],[f29,f41]) ).
fof(f41,plain,
! [X0] :
( ~ between(X0,a,d)
| between(X0,a,c) ),
inference(resolution,[],[f2,f24]) ).
fof(f24,axiom,
between(a,c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_between_a_and_d) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( ~ between(X1,X3,X2)
| ~ between(X0,X1,X2)
| between(X0,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_for_betweeness) ).
fof(f29,plain,
( between(c,a,d)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f27]) ).
fof(f27,plain,
( spl0_1
<=> between(c,a,d) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f1588,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f1587]) ).
fof(f1587,plain,
( $false
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f1586,f24]) ).
fof(f1586,plain,
( ~ between(a,c,d)
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f1585,f38]) ).
fof(f38,plain,
! [X0,X1] : between(X0,X1,X1),
inference(superposition,[],[f13,f36]) ).
fof(f36,plain,
! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0,
inference(resolution,[],[f14,f5]) ).
fof(f5,axiom,
! [X3,X0,X1] :
( ~ equidistant(X0,X1,X3,X3)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_for_equidistance) ).
fof(f14,axiom,
! [X2,X0,X1,X5] : equidistant(X1,extension(X0,X1,X5,X2),X5,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',segment_construction2) ).
fof(f13,axiom,
! [X2,X0,X1,X5] : between(X0,X1,extension(X0,X1,X5,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',segment_construction1) ).
fof(f1585,plain,
( ~ between(a,d,d)
| ~ between(a,c,d)
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f1581,f1474]) ).
fof(f1474,plain,
( ~ between(d,c,a)
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f1468,f23]) ).
fof(f23,axiom,
c != d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_not_d) ).
fof(f1468,plain,
( ~ between(d,c,a)
| c = d
| ~ spl0_2 ),
inference(resolution,[],[f1456,f1]) ).
fof(f1456,plain,
( ! [X0] :
( between(X0,c,d)
| ~ between(X0,c,a) )
| ~ spl0_2 ),
inference(resolution,[],[f1453,f2]) ).
fof(f1453,plain,
( between(c,d,a)
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f1452,f33]) ).
fof(f33,plain,
( between(a,d,c)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f31,plain,
( spl0_2
<=> between(a,d,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f1452,plain,
( between(c,d,a)
| ~ between(a,d,c)
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f1450,f38]) ).
fof(f1450,plain,
( between(c,d,a)
| ~ between(a,c,c)
| ~ between(a,d,c)
| ~ spl0_2 ),
inference(superposition,[],[f8,f1436]) ).
fof(f1436,plain,
( a = outer_pasch(d,a,a,c,c)
| ~ spl0_2 ),
inference(resolution,[],[f1420,f38]) ).
fof(f1420,plain,
( ! [X0] :
( ~ between(a,c,X0)
| a = outer_pasch(d,a,a,X0,c) )
| ~ spl0_2 ),
inference(resolution,[],[f110,f33]) ).
fof(f110,plain,
! [X2,X3,X0,X1] :
( ~ between(X0,X3,X1)
| ~ between(X0,X1,X2)
| outer_pasch(X3,X0,X0,X2,X1) = X0 ),
inference(resolution,[],[f7,f1]) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X5] :
( between(X0,outer_pasch(X5,X0,X1,X3,X2),X1)
| ~ between(X1,X2,X3)
| ~ between(X0,X5,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',outer_pasch1) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X5] :
( between(X3,X5,outer_pasch(X5,X0,X1,X3,X2))
| ~ between(X1,X2,X3)
| ~ between(X0,X5,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',outer_pasch2) ).
fof(f1581,plain,
( between(d,c,a)
| ~ between(a,d,d)
| ~ between(a,c,d) ),
inference(superposition,[],[f8,f1563]) ).
fof(f1563,plain,
a = outer_pasch(c,a,a,d,d),
inference(resolution,[],[f1418,f38]) ).
fof(f1418,plain,
! [X0] :
( ~ between(a,d,X0)
| a = outer_pasch(c,a,a,X0,d) ),
inference(resolution,[],[f110,f24]) ).
fof(f273,plain,
( ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f263,f270,f266]) ).
fof(f266,plain,
( spl0_3
<=> between(a,c,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f270,plain,
( spl0_4
<=> between(a,a,d) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f263,plain,
( between(a,a,d)
| ~ between(a,c,a) ),
inference(subsumption_resolution,[],[f252,f22]) ).
fof(f22,axiom,
a != d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_d) ).
fof(f252,plain,
( between(a,a,d)
| ~ between(a,c,a)
| a = d ),
inference(resolution,[],[f244,f1]) ).
fof(f244,plain,
! [X0] :
( between(a,d,X0)
| between(a,X0,d)
| ~ between(a,c,X0) ),
inference(subsumption_resolution,[],[f237,f21]) ).
fof(f237,plain,
! [X0] :
( a = c
| ~ between(a,c,X0)
| between(a,X0,d)
| between(a,d,X0) ),
inference(resolution,[],[f3,f24]) ).
fof(f3,axiom,
! [X2,X3,X0,X1] :
( ~ between(X0,X1,X3)
| X0 = X1
| ~ between(X0,X1,X2)
| between(X0,X2,X3)
| between(X0,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',connectivity_for_betweeness) ).
fof(f34,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f25,f31,f27]) ).
fof(f25,axiom,
( between(a,d,c)
| between(c,a,d) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_not_between_others) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO006-1 : TPTP v8.1.2. Bugfixed v2.5.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n014.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 05:30:49 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (8462)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (8466)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.37 Detected minimum model sizes of [3]
% 0.20/0.37 Detected maximum model sizes of [max]
% 0.20/0.37 % (8465)WARNING: value z3 for option sas not known
% 0.20/0.37 TRYING [3]
% 0.20/0.37 % (8463)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.37 % (8465)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)
% 0.20/0.37 % (8467)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)
% 0.20/0.37 % (8468)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)
% 0.20/0.37 % (8469)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)
% 0.20/0.37 % (8464)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.38 Detected minimum model sizes of [3]
% 0.20/0.38 Detected maximum model sizes of [max]
% 0.20/0.40 TRYING [3]
% 0.20/0.40 Detected minimum model sizes of [3]
% 0.20/0.40 Detected maximum model sizes of [max]
% 0.20/0.40 TRYING [3]
% 0.20/0.41 TRYING [4]
% 0.20/0.43 % (8465)First to succeed.
% 0.20/0.44 % (8465)Refutation found. Thanks to Tanya!
% 0.20/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.44 % (8465)------------------------------
% 0.20/0.44 % (8465)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.44 % (8465)Termination reason: Refutation
% 0.20/0.44
% 0.20/0.44 % (8465)Memory used [KB]: 1295
% 0.20/0.44 % (8465)Time elapsed: 0.065 s
% 0.20/0.44 % (8465)Instructions burned: 120 (million)
% 0.20/0.44 % (8465)------------------------------
% 0.20/0.44 % (8465)------------------------------
% 0.20/0.44 % (8462)Success in time 0.081 s
%------------------------------------------------------------------------------