TSTP Solution File: GEO275+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO275+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 : n003.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 11:15:12 EDT 2024
% Result : Theorem 35.15s 5.41s
% Output : Refutation 35.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of formulae : 35 ( 11 unt; 0 def)
% Number of atoms : 146 ( 47 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 182 ( 71 ~; 63 |; 42 &)
% ( 0 <=>; 6 =>; 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 : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 65 ( 55 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f50670,plain,
$false,
inference(trivial_inequality_removal,[],[f50669]) ).
fof(f50669,plain,
vd1095 != vd1095,
inference(superposition,[],[f562,f34035]) ).
fof(f34035,plain,
vd1095 = sK5,
inference(resolution,[],[f34019,f1445]) ).
fof(f1445,plain,
rpoint(vd1081),
inference(forward_demodulation,[],[f812,f811]) ).
fof(f811,plain,
vd1081 = sK51,
inference(cnf_transformation,[],[f556]) ).
fof(f556,plain,
( rpoint(sK51)
& vd1081 = sK51 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK51])],[f224,f555]) ).
fof(f555,plain,
( ? [X0] :
( rpoint(X0)
& vd1081 = X0 )
=> ( rpoint(sK51)
& vd1081 = sK51 ) ),
introduced(choice_axiom,[]) ).
fof(f224,plain,
? [X0] :
( rpoint(X0)
& vd1081 = X0 ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
? [X1] :
( rpoint(X1)
& vd1081 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s2(plural(224)))') ).
fof(f812,plain,
rpoint(sK51),
inference(cnf_transformation,[],[f556]) ).
fof(f34019,plain,
( ~ rpoint(vd1081)
| vd1095 = sK5 ),
inference(resolution,[],[f33981,f575]) ).
fof(f575,plain,
ron(vd1081,vd1095),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( rcircle(vd1095)
& rcenter(vd1080,vd1095)
& ron(vd1081,vd1095) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(pred(comma_conjunct2(the(228)), 0), and(pred(comma_conjunct1(the(228)), 0), pred(the(228), 0)))') ).
fof(f33981,plain,
( ~ ron(vd1081,vd1095)
| ~ rpoint(vd1081)
| vd1095 = sK5 ),
inference(resolution,[],[f33970,f559]) ).
fof(f559,plain,
ron(vd1081,sK5),
inference(cnf_transformation,[],[f439]) ).
fof(f439,plain,
( vd1095 != sK5
& rcircle(sK5)
& rcenter(vd1080,sK5)
& ron(vd1081,sK5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f231,f438]) ).
fof(f438,plain,
( ? [X0] :
( vd1095 != X0
& rcircle(X0)
& rcenter(vd1080,X0)
& ron(vd1081,X0) )
=> ( vd1095 != sK5
& rcircle(sK5)
& rcenter(vd1080,sK5)
& ron(vd1081,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f231,plain,
? [X0] :
( vd1095 != X0
& rcircle(X0)
& rcenter(vd1080,X0)
& ron(vd1081,X0) ),
inference(flattening,[],[f230]) ).
fof(f230,plain,
? [X0] :
( vd1095 != X0
& rcircle(X0)
& rcenter(vd1080,X0)
& ron(vd1081,X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( rcircle(X0)
& rcenter(vd1080,X0)
& ron(vd1081,X0) )
=> vd1095 = X0 ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( rcircle(X0)
& rcenter(vd1080,X0)
& ron(vd1081,X0) )
=> vd1095 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(theu(the(228), 1), imp(the(228)))') ).
fof(f33970,plain,
! [X0] :
( ~ ron(X0,sK5)
| ~ ron(X0,vd1095)
| ~ rpoint(X0)
| vd1095 = sK5 ),
inference(resolution,[],[f33958,f576]) ).
fof(f576,plain,
rcenter(vd1080,vd1095),
inference(cnf_transformation,[],[f3]) ).
fof(f33958,plain,
! [X0,X1] :
( ~ rcenter(vd1080,X0)
| ~ rpoint(X1)
| ~ ron(X1,X0)
| ~ ron(X1,sK5)
| sK5 = X0 ),
inference(resolution,[],[f9075,f560]) ).
fof(f560,plain,
rcenter(vd1080,sK5),
inference(cnf_transformation,[],[f439]) ).
fof(f9075,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,[],[f9074]) ).
fof(f9074,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,[],[f1138]) ).
fof(f1138,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,[],[f1137]) ).
fof(f1137,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,[],[f727]) ).
fof(f727,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,[],[f369]) ).
fof(f369,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,[],[f368]) ).
fof(f368,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,[],[f193]) ).
fof(f193,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,[],[f107]) ).
fof(f107,axiom,
! [X607,X608,X609,X610,X611] :
( ( ? [X613] :
( rpoint(X613)
& X607 = X613 )
& ? [X612] :
( rpoint(X612)
& X608 = X612 )
& rcenter(X609,X610)
& rcenter(X609,X611)
& ron(X607,X610)
& ron(X608,X611)
& vf(X609,X607) = vf(X609,X608) )
=> X610 = X611 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(182), 0), imp(cond(axiom(182), 0)))') ).
fof(f562,plain,
vd1095 != sK5,
inference(cnf_transformation,[],[f439]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO275+1 : TPTP v8.1.2. Released v4.1.0.
% 0.08/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n003.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 05:54:18 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (10702)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.39 % (10705)WARNING: value z3 for option sas not known
% 0.15/0.39 % (10703)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.39 % (10704)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.39 % (10705)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)
% 0.15/0.39 % (10707)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)
% 0.15/0.39 % (10708)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)
% 0.15/0.39 % (10709)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)
% 0.15/0.39 % (10706)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/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 % (10703)Refutation not found, incomplete strategy% (10703)------------------------------
% 0.22/0.44 % (10703)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.44 % (10703)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.44
% 0.22/0.44 % (10703)Memory used [KB]: 2508
% 0.22/0.44 % (10703)Time elapsed: 0.054 s
% 0.22/0.44 % (10703)Instructions burned: 115 (million)
% 0.22/0.44 % (10703)------------------------------
% 0.22/0.44 % (10703)------------------------------
% 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 % (10706)Refutation not found, incomplete strategy% (10706)------------------------------
% 0.22/0.44 % (10706)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.44 % (10706)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.44
% 0.22/0.44 % (10706)Memory used [KB]: 2607
% 0.22/0.44 % (10706)Time elapsed: 0.054 s
% 0.22/0.44 % (10706)Instructions burned: 115 (million)
% 0.22/0.44 % (10706)------------------------------
% 0.22/0.44 % (10706)------------------------------
% 0.22/0.46 % (10711)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)
% 0.22/0.46 % (10710)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.22/0.49 Detected minimum model sizes of [3]
% 0.22/0.49 Detected maximum model sizes of [max]
% 0.22/0.49 Cannot represent all propositional literals internally
% 0.22/0.49 % (10710)Refutation not found, incomplete strategy% (10710)------------------------------
% 0.22/0.49 % (10710)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.49 % (10710)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.49
% 0.22/0.49 % (10710)Memory used [KB]: 2147
% 0.22/0.49 % (10710)Time elapsed: 0.030 s
% 0.22/0.49 % (10710)Instructions burned: 61 (million)
% 0.22/0.49 % (10710)------------------------------
% 0.22/0.49 % (10710)------------------------------
% 0.22/0.50 % (10715)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)
% 7.98/1.51 Detected minimum model sizes of [3]
% 7.98/1.51 Detected maximum model sizes of [max]
% 7.98/1.51 Cannot represent all propositional literals internally
% 7.98/1.51 % (10704)Refutation not found, incomplete strategy% (10704)------------------------------
% 7.98/1.51 % (10704)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 7.98/1.51 % (10704)Termination reason: Refutation not found, incomplete strategy
% 7.98/1.51
% 7.98/1.51 % (10704)Memory used [KB]: 10960
% 7.98/1.51 % (10704)Time elapsed: 1.124 s
% 7.98/1.51 % (10704)Instructions burned: 3177 (million)
% 7.98/1.51 % (10704)------------------------------
% 7.98/1.51 % (10704)------------------------------
% 8.22/1.53 % (10786)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)
% 35.15/5.40 % (10708)First to succeed.
% 35.15/5.41 % (10708)Refutation found. Thanks to Tanya!
% 35.15/5.41 % SZS status Theorem for theBenchmark
% 35.15/5.41 % SZS output start Proof for theBenchmark
% See solution above
% 35.15/5.41 % (10708)------------------------------
% 35.15/5.41 % (10708)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 35.15/5.41 % (10708)Termination reason: Refutation
% 35.15/5.41
% 35.15/5.41 % (10708)Memory used [KB]: 48901
% 35.15/5.41 % (10708)Time elapsed: 5.001 s
% 35.15/5.41 % (10708)Instructions burned: 10095 (million)
% 35.15/5.41 % (10708)------------------------------
% 35.15/5.41 % (10708)------------------------------
% 35.15/5.41 % (10702)Success in time 5.027 s
%------------------------------------------------------------------------------