TSTP Solution File: GEO278+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO278+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n026.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 11:15:13 EDT 2024
% Result : Theorem 22.93s 3.65s
% Output : Refutation 22.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 5
% Syntax : Number of formulae : 30 ( 10 unt; 0 def)
% Number of atoms : 135 ( 41 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 176 ( 71 ~; 63 |; 37 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 62 ( 55 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53440,plain,
$false,
inference(trivial_inequality_removal,[],[f53439]) ).
fof(f53439,plain,
vd1102 != vd1102,
inference(superposition,[],[f576,f36743]) ).
fof(f36743,plain,
vd1102 = sK5,
inference(resolution,[],[f36729,f580]) ).
fof(f580,plain,
rpoint(vd1096),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
rpoint(vd1096),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(229, 0)') ).
fof(f36729,plain,
( ~ rpoint(vd1096)
| vd1102 = sK5 ),
inference(resolution,[],[f36689,f598]) ).
fof(f598,plain,
ron(vd1096,vd1102),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( rcircle(vd1102)
& rcenter(vd1089,vd1102)
& ron(vd1096,vd1102) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(pred(comma_conjunct2(the(231)), 0), and(pred(comma_conjunct1(the(231)), 0), pred(the(231), 0)))') ).
fof(f36689,plain,
( ~ ron(vd1096,vd1102)
| ~ rpoint(vd1096)
| vd1102 = sK5 ),
inference(resolution,[],[f36680,f573]) ).
fof(f573,plain,
ron(vd1096,sK5),
inference(cnf_transformation,[],[f453]) ).
fof(f453,plain,
( vd1102 != sK5
& rcircle(sK5)
& rcenter(vd1089,sK5)
& ron(vd1096,sK5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f241,f452]) ).
fof(f452,plain,
( ? [X0] :
( vd1102 != X0
& rcircle(X0)
& rcenter(vd1089,X0)
& ron(vd1096,X0) )
=> ( vd1102 != sK5
& rcircle(sK5)
& rcenter(vd1089,sK5)
& ron(vd1096,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f241,plain,
? [X0] :
( vd1102 != X0
& rcircle(X0)
& rcenter(vd1089,X0)
& ron(vd1096,X0) ),
inference(flattening,[],[f240]) ).
fof(f240,plain,
? [X0] :
( vd1102 != X0
& rcircle(X0)
& rcenter(vd1089,X0)
& ron(vd1096,X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( rcircle(X0)
& rcenter(vd1089,X0)
& ron(vd1096,X0) )
=> vd1102 = X0 ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( rcircle(X0)
& rcenter(vd1089,X0)
& ron(vd1096,X0) )
=> vd1102 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(theu(the(231), 1), imp(the(231)))') ).
fof(f36680,plain,
! [X0] :
( ~ ron(X0,sK5)
| ~ ron(X0,vd1102)
| ~ rpoint(X0)
| vd1102 = sK5 ),
inference(resolution,[],[f36666,f599]) ).
fof(f599,plain,
rcenter(vd1089,vd1102),
inference(cnf_transformation,[],[f3]) ).
fof(f36666,plain,
! [X0,X1] :
( ~ rcenter(vd1089,X0)
| ~ rpoint(X1)
| ~ ron(X1,X0)
| ~ ron(X1,sK5)
| sK5 = X0 ),
inference(resolution,[],[f8333,f574]) ).
fof(f574,plain,
rcenter(vd1089,sK5),
inference(cnf_transformation,[],[f453]) ).
fof(f8333,plain,
! [X2,X3,X0,X1] :
( ~ rcenter(X1,X3)
| ~ rcenter(X1,X2)
| ~ rpoint(X0)
| ~ ron(X0,X2)
| ~ ron(X0,X3)
| X2 = X3 ),
inference(duplicate_literal_removal,[],[f8332]) ).
fof(f8332,plain,
! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X0)
| ~ rcenter(X1,X2)
| ~ rcenter(X1,X3)
| ~ ron(X0,X2)
| ~ ron(X0,X3)
| X2 = X3 ),
inference(equality_resolution,[],[f1166]) ).
fof(f1166,plain,
! [X2,X3,X6,X4,X5] :
( vf(X2,X5) != vf(X2,X6)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rcenter(X2,X3)
| ~ rcenter(X2,X4)
| ~ ron(X5,X3)
| ~ ron(X6,X4)
| X3 = X4 ),
inference(equality_resolution,[],[f1165]) ).
fof(f1165,plain,
! [X2,X3,X1,X6,X4,X5] :
( X3 = X4
| ~ rpoint(X5)
| ~ rpoint(X6)
| X1 != X6
| ~ rcenter(X2,X3)
| ~ rcenter(X2,X4)
| ~ ron(X5,X3)
| ~ ron(X1,X4)
| vf(X2,X1) != vf(X2,X5) ),
inference(equality_resolution,[],[f755]) ).
fof(f755,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( X3 = X4
| ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X6)
| X1 != X6
| ~ rcenter(X2,X3)
| ~ rcenter(X2,X4)
| ~ ron(X0,X3)
| ~ ron(X1,X4)
| vf(X2,X0) != vf(X2,X1) ),
inference(cnf_transformation,[],[f383]) ).
fof(f383,plain,
! [X0,X1,X2,X3,X4] :
( X3 = X4
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ~ rcenter(X2,X3)
| ~ rcenter(X2,X4)
| ~ ron(X0,X3)
| ~ ron(X1,X4)
| vf(X2,X0) != vf(X2,X1) ),
inference(flattening,[],[f382]) ).
fof(f382,plain,
! [X0,X1,X2,X3,X4] :
( X3 = X4
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ~ rcenter(X2,X3)
| ~ rcenter(X2,X4)
| ~ ron(X0,X3)
| ~ ron(X1,X4)
| vf(X2,X0) != vf(X2,X1) ),
inference(ennf_transformation,[],[f203]) ).
fof(f203,plain,
! [X0,X1,X2,X3,X4] :
( ( ? [X5] :
( rpoint(X5)
& X0 = X5 )
& ? [X6] :
( rpoint(X6)
& X1 = X6 )
& rcenter(X2,X3)
& rcenter(X2,X4)
& ron(X0,X3)
& ron(X1,X4)
& vf(X2,X0) = vf(X2,X1) )
=> X3 = X4 ),
inference(rectify,[],[f41]) ).
fof(f41,axiom,
! [X104,X105,X106,X107,X108] :
( ( ? [X110] :
( rpoint(X110)
& X104 = X110 )
& ? [X109] :
( rpoint(X109)
& X105 = X109 )
& rcenter(X106,X107)
& rcenter(X106,X108)
& ron(X104,X107)
& ron(X105,X108)
& vf(X106,X104) = vf(X106,X105) )
=> X107 = X108 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(182), 0), imp(cond(axiom(182), 0)))') ).
fof(f576,plain,
vd1102 != sK5,
inference(cnf_transformation,[],[f453]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO278+1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n026.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 06:11:34 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (25280)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (25283)WARNING: value z3 for option sas not known
% 0.22/0.39 % (25281)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.39 % (25282)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.39 % (25284)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.39 % (25285)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)
% 0.22/0.39 % (25283)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)
% 0.22/0.39 % (25286)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)
% 0.22/0.39 % (25287)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)
% 0.22/0.44 Detected minimum model sizes of [3]
% 0.22/0.44 Detected maximum model sizes of [max]
% 0.22/0.44 Cannot represent all propositional literals internally
% 0.22/0.44 % (25281)Refutation not found, incomplete strategy% (25281)------------------------------
% 0.22/0.44 % (25281)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.44 % (25281)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.44
% 0.22/0.44 % (25281)Memory used [KB]: 2514
% 0.22/0.44 % (25281)Time elapsed: 0.054 s
% 0.22/0.44 % (25281)Instructions burned: 116 (million)
% 0.22/0.44 % (25281)------------------------------
% 0.22/0.44 % (25281)------------------------------
% 0.22/0.44 Detected minimum model sizes of [3]
% 0.22/0.44 Detected maximum model sizes of [max]
% 0.22/0.44 Cannot represent all propositional literals internally
% 0.22/0.44 % (25284)Refutation not found, incomplete strategy% (25284)------------------------------
% 0.22/0.44 % (25284)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.44 % (25284)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.44
% 0.22/0.44 % (25284)Memory used [KB]: 2613
% 0.22/0.44 % (25284)Time elapsed: 0.054 s
% 0.22/0.44 % (25284)Instructions burned: 116 (million)
% 0.22/0.44 % (25284)------------------------------
% 0.22/0.44 % (25284)------------------------------
% 0.22/0.46 % (25288)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.22/0.46 % (25289)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.22/0.48 Detected minimum model sizes of [3]
% 0.22/0.48 Detected maximum model sizes of [max]
% 0.22/0.48 Cannot represent all propositional literals internally
% 0.22/0.48 % (25288)Refutation not found, incomplete strategy% (25288)------------------------------
% 0.22/0.48 % (25288)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.48 % (25288)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.48
% 0.22/0.48 % (25288)Memory used [KB]: 2153
% 0.22/0.48 % (25288)Time elapsed: 0.025 s
% 0.22/0.48 % (25288)Instructions burned: 61 (million)
% 0.22/0.48 % (25288)------------------------------
% 0.22/0.48 % (25288)------------------------------
% 0.22/0.49 % (25290)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 7.70/1.50 Detected minimum model sizes of [3]
% 7.70/1.50 Detected maximum model sizes of [max]
% 7.70/1.50 Cannot represent all propositional literals internally
% 7.70/1.50 % (25282)Refutation not found, incomplete strategy% (25282)------------------------------
% 7.70/1.50 % (25282)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 7.70/1.50 % (25282)Termination reason: Refutation not found, incomplete strategy
% 7.70/1.50
% 7.70/1.50 % (25282)Memory used [KB]: 16870
% 7.70/1.50 % (25282)Time elapsed: 1.114 s
% 7.70/1.50 % (25282)Instructions burned: 4579 (million)
% 7.70/1.50 % (25282)------------------------------
% 7.70/1.50 % (25282)------------------------------
% 7.70/1.51 % (25531)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 22.93/3.64 % (25286)First to succeed.
% 22.93/3.65 % (25286)Refutation found. Thanks to Tanya!
% 22.93/3.65 % SZS status Theorem for theBenchmark
% 22.93/3.65 % SZS output start Proof for theBenchmark
% See solution above
% 22.93/3.65 % (25286)------------------------------
% 22.93/3.65 % (25286)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 22.93/3.65 % (25286)Termination reason: Refutation
% 22.93/3.65
% 22.93/3.65 % (25286)Memory used [KB]: 50587
% 22.93/3.65 % (25286)Time elapsed: 3.258 s
% 22.93/3.65 % (25286)Instructions burned: 10378 (million)
% 22.93/3.65 % (25286)------------------------------
% 22.93/3.65 % (25286)------------------------------
% 22.93/3.65 % (25280)Success in time 3.276 s
%------------------------------------------------------------------------------