TSTP Solution File: GEO305+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO305+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 : n005.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 11:15:25 EDT 2024
% Result : Theorem 2.28s 0.66s
% Output : Refutation 2.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 10
% Syntax : Number of formulae : 44 ( 22 unt; 0 def)
% Number of atoms : 193 ( 57 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 251 ( 102 ~; 88 |; 56 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-2 aty)
% Number of variables : 75 ( 60 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7673,plain,
$false,
inference(subsumption_resolution,[],[f7672,f599]) ).
fof(f599,plain,
ron(vd1289,vd1297),
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
ron(vd1289,vd1297),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s2(plural(347)), 0)') ).
fof(f7672,plain,
~ ron(vd1289,vd1297),
inference(subsumption_resolution,[],[f7671,f593]) ).
fof(f593,plain,
rline(vd1297),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
rline(vd1297),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(347, 0)') ).
fof(f7671,plain,
( ~ rline(vd1297)
| ~ ron(vd1289,vd1297) ),
inference(subsumption_resolution,[],[f7667,f590]) ).
fof(f590,plain,
~ ron(vd1302,vd1297),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
~ ron(vd1302,vd1297),
inference(flattening,[],[f2]) ).
fof(f2,negated_conjecture,
~ ron(vd1302,vd1297),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
ron(vd1302,vd1297),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(conjunct2(349), 0)') ).
fof(f7667,plain,
( ron(vd1302,vd1297)
| ~ rline(vd1297)
| ~ ron(vd1289,vd1297) ),
inference(resolution,[],[f7658,f602]) ).
fof(f602,plain,
ron(vd1287,vd1297),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
ron(vd1287,vd1297),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s1(plural(347)), 0)') ).
fof(f7658,plain,
! [X0] :
( ~ ron(vd1287,X0)
| ron(vd1302,X0)
| ~ rline(X0)
| ~ ron(vd1289,X0) ),
inference(subsumption_resolution,[],[f7657,f1583]) ).
fof(f1583,plain,
rpoint(vd1302),
inference(superposition,[],[f605,f603]) ).
fof(f603,plain,
vd1302 = vd1303,
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( rR(vd1288,vd1287,vd1299)
& rpoint(vd1303)
& rR(vd1289,vd1287,vd1302)
& vd1302 = vd1303 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))') ).
fof(f605,plain,
rpoint(vd1303),
inference(cnf_transformation,[],[f5]) ).
fof(f7657,plain,
! [X0] :
( ~ rpoint(vd1302)
| ~ rline(X0)
| ron(vd1302,X0)
| ~ ron(vd1287,X0)
| ~ ron(vd1289,X0) ),
inference(subsumption_resolution,[],[f7656,f1584]) ).
fof(f1584,plain,
rpoint(vd1289),
inference(superposition,[],[f612,f611]) ).
fof(f611,plain,
vd1289 = sK7,
inference(cnf_transformation,[],[f466]) ).
fof(f466,plain,
( rpoint(sK5)
& vd1287 = sK5
& rpoint(sK6)
& vd1288 = sK6
& rpoint(sK7)
& vd1289 = sK7
& vd1287 != vd1288
& vd1289 != vd1287
& vd1289 != vd1288
& vf(vd1287,vd1288) = vf(vd1287,vd1289) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f128,f465,f464,f463]) ).
fof(f463,plain,
( ? [X0] :
( rpoint(X0)
& vd1287 = X0 )
=> ( rpoint(sK5)
& vd1287 = sK5 ) ),
introduced(choice_axiom,[]) ).
fof(f464,plain,
( ? [X1] :
( rpoint(X1)
& vd1288 = X1 )
=> ( rpoint(sK6)
& vd1288 = sK6 ) ),
introduced(choice_axiom,[]) ).
fof(f465,plain,
( ? [X2] :
( rpoint(X2)
& vd1289 = X2 )
=> ( rpoint(sK7)
& vd1289 = sK7 ) ),
introduced(choice_axiom,[]) ).
fof(f128,plain,
( ? [X0] :
( rpoint(X0)
& vd1287 = X0 )
& ? [X1] :
( rpoint(X1)
& vd1288 = X1 )
& ? [X2] :
( rpoint(X2)
& vd1289 = X2 )
& vd1287 != vd1288
& vd1289 != vd1287
& vd1289 != vd1288
& vf(vd1287,vd1288) = vf(vd1287,vd1289) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
( ? [X2] :
( rpoint(X2)
& vd1287 = X2 )
& ? [X1] :
( rpoint(X1)
& vd1288 = X1 )
& ? [X0] :
( rpoint(X0)
& vd1289 = X0 )
& vd1287 != vd1288
& vd1289 != vd1287
& vd1289 != vd1288
& vf(vd1287,vd1288) = vf(vd1287,vd1289) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))') ).
fof(f612,plain,
rpoint(sK7),
inference(cnf_transformation,[],[f466]) ).
fof(f7656,plain,
! [X0] :
( ~ rpoint(vd1289)
| ~ rpoint(vd1302)
| ~ rline(X0)
| ron(vd1302,X0)
| ~ ron(vd1287,X0)
| ~ ron(vd1289,X0) ),
inference(subsumption_resolution,[],[f7629,f1586]) ).
fof(f1586,plain,
rpoint(vd1287),
inference(superposition,[],[f616,f615]) ).
fof(f615,plain,
vd1287 = sK5,
inference(cnf_transformation,[],[f466]) ).
fof(f616,plain,
rpoint(sK5),
inference(cnf_transformation,[],[f466]) ).
fof(f7629,plain,
! [X0] :
( ~ rpoint(vd1287)
| ~ rpoint(vd1289)
| ~ rpoint(vd1302)
| ~ rline(X0)
| ron(vd1302,X0)
| ~ ron(vd1287,X0)
| ~ ron(vd1289,X0) ),
inference(resolution,[],[f1117,f604]) ).
fof(f604,plain,
rR(vd1289,vd1287,vd1302),
inference(cnf_transformation,[],[f5]) ).
fof(f1117,plain,
! [X6,X7,X4,X5] :
( ~ rR(X6,X5,X7)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X4)
| ron(X7,X4)
| ~ ron(X5,X4)
| ~ ron(X6,X4) ),
inference(equality_resolution,[],[f1116]) ).
fof(f1116,plain,
! [X3,X6,X7,X4,X5] :
( ron(X7,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X4)
| ~ rR(X6,X5,X7)
| ~ ron(X5,X3)
| ~ ron(X6,X3)
| X3 != X4 ),
inference(equality_resolution,[],[f1115]) ).
fof(f1115,plain,
! [X2,X3,X6,X7,X4,X5] :
( ron(X2,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| ~ rR(X6,X5,X2)
| ~ ron(X5,X3)
| ~ ron(X6,X3)
| X3 != X4 ),
inference(equality_resolution,[],[f1114]) ).
fof(f1114,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( ron(X2,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| ~ rR(X1,X5,X2)
| ~ ron(X5,X3)
| ~ ron(X1,X3)
| X3 != X4 ),
inference(equality_resolution,[],[f745]) ).
fof(f745,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(X2,X3)
| ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| ~ rR(X1,X0,X2)
| ~ ron(X0,X3)
| ~ ron(X1,X3)
| X3 != X4 ),
inference(cnf_transformation,[],[f362]) ).
fof(f362,plain,
! [X0,X1,X2,X3,X4] :
( ron(X2,X3)
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| ~ rline(X4)
| ~ rR(X1,X0,X2)
| ~ ron(X0,X3)
| ~ ron(X1,X3)
| X3 != X4 ),
inference(flattening,[],[f361]) ).
fof(f361,plain,
! [X0,X1,X2,X3,X4] :
( ron(X2,X3)
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| ~ rline(X4)
| ~ rR(X1,X0,X2)
| ~ ron(X0,X3)
| ~ ron(X1,X3)
| X3 != X4 ),
inference(ennf_transformation,[],[f192]) ).
fof(f192,plain,
! [X0,X1,X2,X3,X4] :
( ( ? [X5] :
( rpoint(X5)
& X0 = X5 )
& ? [X6] :
( rpoint(X6)
& X1 = X6 )
& ? [X7] :
( rpoint(X7)
& X2 = X7 )
& rline(X4)
& rR(X1,X0,X2)
& ron(X0,X3)
& ron(X1,X3)
& X3 = X4 )
=> ron(X2,X3) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X3,X4,X5,X6,X7] :
( ( ? [X10] :
( rpoint(X10)
& X3 = X10 )
& ? [X9] :
( rpoint(X9)
& X4 = X9 )
& ? [X8] :
( rpoint(X8)
& X5 = X8 )
& rline(X7)
& rR(X4,X3,X5)
& ron(X3,X6)
& ron(X4,X6)
& X6 = X7 )
=> ron(X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(83), 0), imp(cond(axiom(83), 0)))') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : GEO305+1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n005.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Apr 30 05:45:11 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % (23488)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.35 % (23491)WARNING: value z3 for option sas not known
% 0.17/0.35 % (23490)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.17/0.35 % (23493)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)
% 0.17/0.35 % (23489)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.17/0.35 % (23491)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)
% 0.17/0.35 % (23492)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.17/0.35 % (23494)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)
% 0.17/0.35 % (23495)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)
% 0.17/0.40 Detected minimum model sizes of [3]
% 0.17/0.40 Detected maximum model sizes of [max]
% 0.17/0.40 Cannot represent all propositional literals internally
% 0.17/0.40 % (23489)Refutation not found, incomplete strategy% (23489)------------------------------
% 0.17/0.40 % (23489)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.17/0.40 % (23489)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.40
% 0.17/0.40 % (23489)Memory used [KB]: 2725
% 0.17/0.40 % (23489)Time elapsed: 0.054 s
% 0.17/0.40 % (23489)Instructions burned: 131 (million)
% 0.17/0.40 % (23489)------------------------------
% 0.17/0.40 % (23489)------------------------------
% 0.17/0.40 Detected minimum model sizes of [3]
% 0.17/0.40 Detected maximum model sizes of [max]
% 0.17/0.40 Cannot represent all propositional literals internally
% 0.17/0.40 % (23492)Refutation not found, incomplete strategy% (23492)------------------------------
% 0.17/0.40 % (23492)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.17/0.40 % (23492)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.40
% 0.17/0.40 % (23492)Memory used [KB]: 2824
% 0.17/0.40 % (23492)Time elapsed: 0.056 s
% 0.17/0.40 % (23492)Instructions burned: 131 (million)
% 0.17/0.40 % (23492)------------------------------
% 0.17/0.40 % (23492)------------------------------
% 0.17/0.42 % (23496)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.17/0.42 % (23497)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)
% 0.17/0.45 Detected minimum model sizes of [3]
% 0.17/0.45 Detected maximum model sizes of [max]
% 0.17/0.45 Cannot represent all propositional literals internally
% 0.17/0.45 % (23496)Refutation not found, incomplete strategy% (23496)------------------------------
% 0.17/0.45 % (23496)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.17/0.45 % (23496)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.45
% 0.17/0.45 % (23496)Memory used [KB]: 2421
% 0.17/0.45 % (23496)Time elapsed: 0.033 s
% 0.17/0.45 % (23496)Instructions burned: 75 (million)
% 0.17/0.45 % (23496)------------------------------
% 0.17/0.45 % (23496)------------------------------
% 0.17/0.47 % (23498)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)
% 2.28/0.65 % (23491)First to succeed.
% 2.28/0.66 % (23491)Refutation found. Thanks to Tanya!
% 2.28/0.66 % SZS status Theorem for theBenchmark
% 2.28/0.66 % SZS output start Proof for theBenchmark
% See solution above
% 2.28/0.66 % (23491)------------------------------
% 2.28/0.66 % (23491)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 2.28/0.66 % (23491)Termination reason: Refutation
% 2.28/0.66
% 2.28/0.66 % (23491)Memory used [KB]: 5278
% 2.28/0.66 % (23491)Time elapsed: 0.304 s
% 2.28/0.66 % (23491)Instructions burned: 696 (million)
% 2.28/0.66 % (23491)------------------------------
% 2.28/0.66 % (23491)------------------------------
% 2.28/0.66 % (23488)Success in time 0.313 s
%------------------------------------------------------------------------------