TSTP Solution File: GEO220+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO220+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n004.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 11:14:50 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 5 unt; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 60 ( 32 ~; 7 |; 15 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 34 ( 25 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f95,plain,
$false,
inference(subsumption_resolution,[],[f94,f49]) ).
fof(f49,plain,
~ unorthogonal_lines(sK0,sK1),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( convergent_lines(sK1,sK2)
& ~ unorthogonal_lines(sK0,sK2)
& ~ unorthogonal_lines(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f24,f47]) ).
fof(f47,plain,
( ? [X0,X1,X2] :
( convergent_lines(X1,X2)
& ~ unorthogonal_lines(X0,X2)
& ~ unorthogonal_lines(X0,X1) )
=> ( convergent_lines(sK1,sK2)
& ~ unorthogonal_lines(sK0,sK2)
& ~ unorthogonal_lines(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
? [X0,X1,X2] :
( convergent_lines(X1,X2)
& ~ unorthogonal_lines(X0,X2)
& ~ unorthogonal_lines(X0,X1) ),
inference(flattening,[],[f23]) ).
fof(f23,plain,
? [X0,X1,X2] :
( convergent_lines(X1,X2)
& ~ unorthogonal_lines(X0,X2)
& ~ unorthogonal_lines(X0,X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
~ ! [X0,X1,X2] :
( ( ~ unorthogonal_lines(X0,X2)
& ~ unorthogonal_lines(X0,X1) )
=> ~ convergent_lines(X1,X2) ),
inference(rectify,[],[f17]) ).
fof(f17,negated_conjecture,
~ ! [X5,X6,X7] :
( ( ~ unorthogonal_lines(X5,X7)
& ~ unorthogonal_lines(X5,X6) )
=> ~ convergent_lines(X6,X7) ),
inference(negated_conjecture,[],[f16]) ).
fof(f16,conjecture,
! [X5,X6,X7] :
( ( ~ unorthogonal_lines(X5,X7)
& ~ unorthogonal_lines(X5,X6) )
=> ~ convergent_lines(X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f94,plain,
unorthogonal_lines(sK0,sK1),
inference(resolution,[],[f90,f50]) ).
fof(f50,plain,
~ unorthogonal_lines(sK0,sK2),
inference(cnf_transformation,[],[f48]) ).
fof(f90,plain,
! [X0] :
( unorthogonal_lines(X0,sK2)
| unorthogonal_lines(X0,sK1) ),
inference(resolution,[],[f66,f51]) ).
fof(f51,plain,
convergent_lines(sK1,sK2),
inference(cnf_transformation,[],[f48]) ).
fof(f66,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X1,X2)
| unorthogonal_lines(X0,X2)
| unorthogonal_lines(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X1,X2)
| unorthogonal_lines(X0,X2)
| unorthogonal_lines(X0,X1) ),
inference(flattening,[],[f41]) ).
fof(f41,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X1,X2)
| unorthogonal_lines(X0,X2)
| unorthogonal_lines(X0,X1) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1,X2] :
( ( ~ unorthogonal_lines(X0,X2)
& ~ unorthogonal_lines(X0,X1) )
=> ~ convergent_lines(X1,X2) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X5,X6,X7] :
( ( ~ unorthogonal_lines(X5,X7)
& ~ unorthogonal_lines(X5,X6) )
=> ~ convergent_lines(X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',couo1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO220+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n004.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 05:41:18 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (10083)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (10087)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 TRYING [1,1]
% 0.14/0.37 % (10084)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 TRYING [2,1]
% 0.14/0.37 % (10085)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (10086)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 % (10088)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37 % (10089)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37 TRYING [3,1]
% 0.14/0.37 % (10090)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 Cannot enumerate next child to try in an incomplete setup
% 0.14/0.37 % (10087)Refutation not found, incomplete strategy% (10087)------------------------------
% 0.14/0.37 % (10087)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.37 % (10087)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.37
% 0.14/0.37 % (10087)Memory used [KB]: 836
% 0.14/0.37 % (10087)Time elapsed: 0.004 s
% 0.14/0.37 % (10087)Instructions burned: 6 (million)
% 0.14/0.37 % (10087)------------------------------
% 0.14/0.37 % (10087)------------------------------
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [1,1]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 % (10089)First to succeed.
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [2,1]
% 0.14/0.38 TRYING [3,1]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 % (10084)Also succeeded, but the first one will report.
% 0.14/0.38 Cannot enumerate next child to try in an incomplete setup
% 0.14/0.38 % (10085)Refutation not found, incomplete strategy% (10085)------------------------------
% 0.14/0.38 % (10085)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38 % (10085)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.38
% 0.14/0.38 % (10085)Memory used [KB]: 835
% 0.14/0.38 % (10085)Time elapsed: 0.005 s
% 0.14/0.38 % (10085)Instructions burned: 6 (million)
% 0.14/0.38 % (10085)------------------------------
% 0.14/0.38 % (10085)------------------------------
% 0.14/0.38 % (10086)Also succeeded, but the first one will report.
% 0.14/0.38 % (10089)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 % (10089)------------------------------
% 0.14/0.38 % (10089)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38 % (10089)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (10089)Memory used [KB]: 787
% 0.14/0.38 % (10089)Time elapsed: 0.004 s
% 0.14/0.38 % (10089)Instructions burned: 4 (million)
% 0.14/0.38 % (10089)------------------------------
% 0.14/0.38 % (10089)------------------------------
% 0.14/0.38 % (10083)Success in time 0.019 s
%------------------------------------------------------------------------------