TSTP Solution File: GEO171+3 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO171+3 : TPTP v8.1.2. Released v4.0.0.
% 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 : Tue Apr 30 11:14:25 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 24 ( 9 unt; 0 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 41 ( 16 ~; 16 |; 4 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 38 ( 34 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f149,plain,
$false,
inference(subsumption_resolution,[],[f146,f101]) ).
fof(f101,plain,
~ distinct_lines(sK2,sK3),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
( ~ distinct_lines(sK2,sK3)
& convergent_lines(sK2,sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f51,f94]) ).
fof(f94,plain,
( ? [X0,X1] :
( ~ distinct_lines(X0,X1)
& convergent_lines(X0,X1) )
=> ( ~ distinct_lines(sK2,sK3)
& convergent_lines(sK2,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
? [X0,X1] :
( ~ distinct_lines(X0,X1)
& convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X0,X1] :
( convergent_lines(X0,X1)
=> distinct_lines(X0,X1) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X0,X1] :
( convergent_lines(X0,X1)
=> distinct_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f146,plain,
distinct_lines(sK2,sK3),
inference(resolution,[],[f143,f103]) ).
fof(f103,plain,
! [X0] : ~ distinct_lines(X0,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] : ~ distinct_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart2) ).
fof(f143,plain,
! [X0] :
( distinct_lines(sK3,X0)
| distinct_lines(sK2,X0) ),
inference(resolution,[],[f141,f121]) ).
fof(f121,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X0,X1)
| distinct_lines(X0,X2)
| distinct_lines(X1,X2) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(flattening,[],[f68]) ).
fof(f68,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2] :
( distinct_lines(X0,X1)
=> ( distinct_lines(X1,X2)
| distinct_lines(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart5) ).
fof(f141,plain,
distinct_lines(sK3,sK2),
inference(resolution,[],[f139,f104]) ).
fof(f104,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart3) ).
fof(f139,plain,
! [X0] :
( convergent_lines(sK2,X0)
| distinct_lines(sK3,X0) ),
inference(resolution,[],[f125,f100]) ).
fof(f100,plain,
convergent_lines(sK2,sK3),
inference(cnf_transformation,[],[f95]) ).
fof(f125,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| distinct_lines(X1,X2)
| convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f76]) ).
fof(f76,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO171+3 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n013.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 05:46:34 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (18560)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (18566)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37 % (18562)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (18567)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (18564)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37 % (18563)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.37 % (18561)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (18565)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 % (18565)First to succeed.
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 % (18566)Also succeeded, but the first one will report.
% 0.14/0.38 TRYING [1,1]
% 0.14/0.38 TRYING [1,1]
% 0.14/0.38 TRYING [2,1]
% 0.14/0.38 TRYING [2,1]
% 0.14/0.38 Cannot enumerate next child to try in an incomplete setup
% 0.14/0.38 Cannot enumerate next child to try in an incomplete setup
% 0.14/0.38 % (18564)Refutation not found, incomplete strategy% (18564)------------------------------
% 0.14/0.38 % (18564)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38 % (18564)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.38
% 0.14/0.38 % (18564)Memory used [KB]: 943
% 0.14/0.38 % (18564)Time elapsed: 0.005 s
% 0.14/0.38 % (18564)Instructions burned: 7 (million)
% 0.14/0.38 % (18564)------------------------------
% 0.14/0.38 % (18564)------------------------------
% 0.14/0.38 % (18562)Refutation not found, incomplete strategy% (18562)------------------------------
% 0.14/0.38 % (18562)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38 % (18562)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.38
% 0.14/0.38 % (18562)Memory used [KB]: 942
% 0.14/0.38 % (18562)Time elapsed: 0.005 s
% 0.14/0.38 % (18562)Instructions burned: 6 (million)
% 0.14/0.38 % (18562)------------------------------
% 0.14/0.38 % (18562)------------------------------
% 0.14/0.38 % (18561)Also succeeded, but the first one will report.
% 0.14/0.38 % (18565)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Theorem for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (18565)------------------------------
% 0.14/0.38 % (18565)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38 % (18565)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (18565)Memory used [KB]: 943
% 0.14/0.38 % (18565)Time elapsed: 0.004 s
% 0.14/0.38 % (18565)Instructions burned: 4 (million)
% 0.14/0.38 % (18565)------------------------------
% 0.14/0.38 % (18565)------------------------------
% 0.14/0.38 % (18560)Success in time 0.011 s
%------------------------------------------------------------------------------