TSTP Solution File: GEO082+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO082+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n024.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 11:14:00 EDT 2024
% Result : Theorem 0.13s 0.39s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 6
% Syntax : Number of formulae : 35 ( 6 unt; 0 def)
% Number of atoms : 112 ( 27 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 119 ( 42 ~; 40 |; 25 &)
% ( 3 <=>; 8 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 58 ( 46 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f459,plain,
$false,
inference(trivial_inequality_removal,[],[f458]) ).
fof(f458,plain,
sK3 != sK3,
inference(superposition,[],[f106,f414]) ).
fof(f414,plain,
sK3 = sK4,
inference(duplicate_literal_removal,[],[f410]) ).
fof(f410,plain,
( sK3 = sK4
| sK3 = sK4 ),
inference(resolution,[],[f401,f385]) ).
fof(f385,plain,
( ~ incident_c(sK11(sK3,sK4),sK3)
| sK3 = sK4 ),
inference(factoring,[],[f348]) ).
fof(f348,plain,
! [X0] :
( ~ incident_c(sK11(X0,sK4),sK3)
| ~ incident_c(sK11(X0,sK4),X0)
| sK4 = X0 ),
inference(resolution,[],[f211,f104]) ).
fof(f104,plain,
part_of(sK3,sK4),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
( sK3 != sK4
& part_of(sK4,sK3)
& part_of(sK3,sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f36,f62]) ).
fof(f62,plain,
( ? [X0,X1] :
( X0 != X1
& part_of(X1,X0)
& part_of(X0,X1) )
=> ( sK3 != sK4
& part_of(sK4,sK3)
& part_of(sK3,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
? [X0,X1] :
( X0 != X1
& part_of(X1,X0)
& part_of(X0,X1) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
? [X0,X1] :
( X0 != X1
& part_of(X1,X0)
& part_of(X0,X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
~ ! [X0,X1] :
( ( part_of(X1,X0)
& part_of(X0,X1) )
=> X0 = X1 ),
inference(rectify,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X1,X3] :
( ( part_of(X3,X1)
& part_of(X1,X3) )
=> X1 = X3 ),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X1,X3] :
( ( part_of(X3,X1)
& part_of(X1,X3) )
=> X1 = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_antisymmetry) ).
fof(f211,plain,
! [X2,X0,X1] :
( ~ part_of(X2,X1)
| X0 = X1
| ~ incident_c(sK11(X0,X1),X2)
| ~ incident_c(sK11(X0,X1),X0) ),
inference(resolution,[],[f116,f131]) ).
fof(f131,plain,
! [X3,X0,X1] :
( incident_c(X3,X0)
| ~ incident_c(X3,X1)
| ~ part_of(X1,X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( ( part_of(X1,X0)
| ( ~ incident_c(sK15(X0,X1),X0)
& incident_c(sK15(X0,X1),X1) ) )
& ( ! [X3] :
( incident_c(X3,X0)
| ~ incident_c(X3,X1) )
| ~ part_of(X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f89,f90]) ).
fof(f90,plain,
! [X0,X1] :
( ? [X2] :
( ~ incident_c(X2,X0)
& incident_c(X2,X1) )
=> ( ~ incident_c(sK15(X0,X1),X0)
& incident_c(sK15(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
! [X0,X1] :
( ( part_of(X1,X0)
| ? [X2] :
( ~ incident_c(X2,X0)
& incident_c(X2,X1) ) )
& ( ! [X3] :
( incident_c(X3,X0)
| ~ incident_c(X3,X1) )
| ~ part_of(X1,X0) ) ),
inference(rectify,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( ( part_of(X1,X0)
| ? [X2] :
( ~ incident_c(X2,X0)
& incident_c(X2,X1) ) )
& ( ! [X2] :
( incident_c(X2,X0)
| ~ incident_c(X2,X1) )
| ~ part_of(X1,X0) ) ),
inference(nnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( part_of(X1,X0)
<=> ! [X2] :
( incident_c(X2,X0)
| ~ incident_c(X2,X1) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( part_of(X1,X0)
<=> ! [X2] :
( incident_c(X2,X1)
=> incident_c(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_defn) ).
fof(f116,plain,
! [X0,X1] :
( ~ incident_c(sK11(X0,X1),X1)
| ~ incident_c(sK11(X0,X1),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( X0 = X1
| ( ( ~ incident_c(sK11(X0,X1),X1)
| ~ incident_c(sK11(X0,X1),X0) )
& ( incident_c(sK11(X0,X1),X1)
| incident_c(sK11(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f74,f75]) ).
fof(f75,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ incident_c(X2,X1)
| ~ incident_c(X2,X0) )
& ( incident_c(X2,X1)
| incident_c(X2,X0) ) )
=> ( ( ~ incident_c(sK11(X0,X1),X1)
| ~ incident_c(sK11(X0,X1),X0) )
& ( incident_c(sK11(X0,X1),X1)
| incident_c(sK11(X0,X1),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( ( ~ incident_c(X2,X1)
| ~ incident_c(X2,X0) )
& ( incident_c(X2,X1)
| incident_c(X2,X0) ) ) ),
inference(nnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( incident_c(X2,X0)
<~> incident_c(X2,X1) ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] :
( ! [X2] :
( incident_c(X2,X0)
<=> incident_c(X2,X1) )
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c9) ).
fof(f401,plain,
( incident_c(sK11(sK3,sK4),sK3)
| sK3 = sK4 ),
inference(duplicate_literal_removal,[],[f397]) ).
fof(f397,plain,
( sK3 = sK4
| sK3 = sK4
| incident_c(sK11(sK3,sK4),sK3) ),
inference(resolution,[],[f394,f115]) ).
fof(f115,plain,
! [X0,X1] :
( incident_c(sK11(X0,X1),X1)
| X0 = X1
| incident_c(sK11(X0,X1),X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f394,plain,
( ~ incident_c(sK11(sK3,sK4),sK4)
| sK3 = sK4 ),
inference(resolution,[],[f387,f105]) ).
fof(f105,plain,
part_of(sK4,sK3),
inference(cnf_transformation,[],[f63]) ).
fof(f387,plain,
! [X0] :
( ~ part_of(X0,sK3)
| ~ incident_c(sK11(sK3,sK4),X0)
| sK3 = sK4 ),
inference(resolution,[],[f385,f131]) ).
fof(f106,plain,
sK3 != sK4,
inference(cnf_transformation,[],[f63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO082+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n024.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 05:39:36 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (5092)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (5095)WARNING: value z3 for option sas not known
% 0.13/0.37 % (5093)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (5095)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)
% 0.13/0.37 % (5097)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 % (5096)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (5099)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 % (5098)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 % (5094)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 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.38 TRYING [3]
% 0.13/0.39 TRYING [1]
% 0.13/0.39 % (5098)First to succeed.
% 0.13/0.39 TRYING [2]
% 0.13/0.39 TRYING [4]
% 0.13/0.39 % (5098)Refutation found. Thanks to Tanya!
% 0.13/0.39 % SZS status Theorem for theBenchmark
% 0.13/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.39 % (5098)------------------------------
% 0.13/0.39 % (5098)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.39 % (5098)Termination reason: Refutation
% 0.13/0.39
% 0.13/0.39 % (5098)Memory used [KB]: 1135
% 0.13/0.39 % (5098)Time elapsed: 0.019 s
% 0.13/0.39 % (5098)Instructions burned: 28 (million)
% 0.13/0.39 % (5098)------------------------------
% 0.13/0.39 % (5098)------------------------------
% 0.13/0.39 % (5092)Success in time 0.035 s
%------------------------------------------------------------------------------