TSTP Solution File: GEO344+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO344+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 : n011.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 : Sun May 5 05:17:50 EDT 2024
% Result : Theorem 25.58s 4.05s
% Output : Refutation 25.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 10
% Syntax : Number of formulae : 48 ( 18 unt; 0 def)
% Number of atoms : 260 ( 99 equ)
% Maximal formula atoms : 14 ( 5 avg)
% Number of connectives : 336 ( 124 ~; 117 |; 87 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 11 con; 0-0 aty)
% Number of variables : 82 ( 62 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f22459,plain,
$false,
inference(subsumption_resolution,[],[f22458,f1629]) ).
fof(f1629,plain,
vd1409 != sK8,
inference(backward_demodulation,[],[f616,f630]) ).
fof(f630,plain,
vd1401 = sK8,
inference(cnf_transformation,[],[f483]) ).
fof(f483,plain,
( rpoint(sK6)
& vd1399 = sK6
& rpoint(sK7)
& vd1400 = sK7
& rpoint(sK8)
& vd1401 = sK8
& vd1399 != vd1400
& vd1401 != vd1399
& vd1401 != vd1400
& rline(vd1407)
& ron(vd1399,vd1406)
& ron(vd1400,vd1406)
& vd1406 = vd1407 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f130,f482,f481,f480]) ).
fof(f480,plain,
( ? [X0] :
( rpoint(X0)
& vd1399 = X0 )
=> ( rpoint(sK6)
& vd1399 = sK6 ) ),
introduced(choice_axiom,[]) ).
fof(f481,plain,
( ? [X1] :
( rpoint(X1)
& vd1400 = X1 )
=> ( rpoint(sK7)
& vd1400 = sK7 ) ),
introduced(choice_axiom,[]) ).
fof(f482,plain,
( ? [X2] :
( rpoint(X2)
& vd1401 = X2 )
=> ( rpoint(sK8)
& vd1401 = sK8 ) ),
introduced(choice_axiom,[]) ).
fof(f130,plain,
( ? [X0] :
( rpoint(X0)
& vd1399 = X0 )
& ? [X1] :
( rpoint(X1)
& vd1400 = X1 )
& ? [X2] :
( rpoint(X2)
& vd1401 = X2 )
& vd1399 != vd1400
& vd1401 != vd1399
& vd1401 != vd1400
& rline(vd1407)
& ron(vd1399,vd1406)
& ron(vd1400,vd1406)
& vd1406 = vd1407 ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
( ? [X3] :
( rpoint(X3)
& vd1399 = X3 )
& ? [X2] :
( rpoint(X2)
& vd1400 = X2 )
& ? [X1] :
( rpoint(X1)
& vd1401 = X1 )
& vd1399 != vd1400
& vd1401 != vd1399
& vd1401 != vd1400
& rline(vd1407)
& ron(vd1399,vd1406)
& ron(vd1400,vd1406)
& vd1406 = vd1407 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(pred(conjunct2(405), 5), and(pred(s2(plural(conjunct2(405))), 0), and(pred(s1(plural(conjunct2(405))), 0), and(pred(conjunct2(405), 1), and(pred(conjunct1(405), 9), and(pred(conjunct1(405), 8), and(pred(conjunct1(405), 7), and(qe(s3(plural(405))), and(qe(s2(plural(405))), qe(s1(plural(405))))))))))))') ).
fof(f616,plain,
vd1409 != vd1401,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
vd1409 != vd1401,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct2(conjunct2(conjunct2(406))), 1413, 0)') ).
fof(f22458,plain,
vd1409 = sK8,
inference(subsumption_resolution,[],[f22457,f631]) ).
fof(f631,plain,
rpoint(sK8),
inference(cnf_transformation,[],[f483]) ).
fof(f22457,plain,
( ~ rpoint(sK8)
| vd1409 = sK8 ),
inference(subsumption_resolution,[],[f22456,f612]) ).
fof(f612,plain,
vd1419 != sK5,
inference(cnf_transformation,[],[f479]) ).
fof(f479,plain,
( vd1419 != sK5
& rline(sK5)
& ron(vd1401,sK5)
& ron(vd1409,sK5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f249,f478]) ).
fof(f478,plain,
( ? [X0] :
( vd1419 != X0
& rline(X0)
& ron(vd1401,X0)
& ron(vd1409,X0) )
=> ( vd1419 != sK5
& rline(sK5)
& ron(vd1401,sK5)
& ron(vd1409,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f249,plain,
? [X0] :
( vd1419 != X0
& rline(X0)
& ron(vd1401,X0)
& ron(vd1409,X0) ),
inference(flattening,[],[f248]) ).
fof(f248,plain,
? [X0] :
( vd1419 != X0
& rline(X0)
& ron(vd1401,X0)
& ron(vd1409,X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( rline(X0)
& ron(vd1401,X0)
& ron(vd1409,X0) )
=> vd1419 = X0 ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( rline(X0)
& ron(vd1401,X0)
& ron(vd1409,X0) )
=> vd1419 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(theu(the(409), 1), imp(the(409)))') ).
fof(f22456,plain,
( vd1419 = sK5
| ~ rpoint(sK8)
| vd1409 = sK8 ),
inference(subsumption_resolution,[],[f22455,f638]) ).
fof(f638,plain,
rline(vd1419),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( rline(vd1419)
& ron(vd1401,vd1419)
& ron(vd1409,vd1419) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(pred(s2(plural(the(409))), 0), and(pred(s1(plural(the(409))), 0), pred(the(409), 0)))') ).
fof(f22455,plain,
( ~ rline(vd1419)
| vd1419 = sK5
| ~ rpoint(sK8)
| vd1409 = sK8 ),
inference(subsumption_resolution,[],[f22454,f1630]) ).
fof(f1630,plain,
ron(sK8,sK5),
inference(backward_demodulation,[],[f610,f630]) ).
fof(f610,plain,
ron(vd1401,sK5),
inference(cnf_transformation,[],[f479]) ).
fof(f22454,plain,
( ~ ron(sK8,sK5)
| ~ rline(vd1419)
| vd1419 = sK5
| ~ rpoint(sK8)
| vd1409 = sK8 ),
inference(subsumption_resolution,[],[f22298,f636]) ).
fof(f636,plain,
ron(vd1409,vd1419),
inference(cnf_transformation,[],[f3]) ).
fof(f22298,plain,
( ~ ron(vd1409,vd1419)
| ~ ron(sK8,sK5)
| ~ rline(vd1419)
| vd1419 = sK5
| ~ rpoint(sK8)
| vd1409 = sK8 ),
inference(resolution,[],[f21600,f1640]) ).
fof(f1640,plain,
ron(sK8,vd1419),
inference(forward_demodulation,[],[f637,f630]) ).
fof(f637,plain,
ron(vd1401,vd1419),
inference(cnf_transformation,[],[f3]) ).
fof(f21600,plain,
! [X0,X1] :
( ~ ron(vd1409,X0)
| ~ ron(X1,sK5)
| ~ ron(X1,X0)
| ~ rline(X0)
| sK5 = X0
| ~ rpoint(X1)
| vd1409 = X1 ),
inference(subsumption_resolution,[],[f21599,f615]) ).
fof(f615,plain,
rpoint(vd1409),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
rpoint(vd1409),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(406, 0)') ).
fof(f21599,plain,
! [X0,X1] :
( ~ ron(vd1409,X0)
| ~ ron(X1,sK5)
| ~ ron(X1,X0)
| ~ rline(X0)
| sK5 = X0
| ~ rpoint(vd1409)
| ~ rpoint(X1)
| vd1409 = X1 ),
inference(subsumption_resolution,[],[f21570,f611]) ).
fof(f611,plain,
rline(sK5),
inference(cnf_transformation,[],[f479]) ).
fof(f21570,plain,
! [X0,X1] :
( ~ ron(vd1409,X0)
| ~ ron(X1,sK5)
| ~ ron(X1,X0)
| ~ rline(sK5)
| ~ rline(X0)
| sK5 = X0
| ~ rpoint(vd1409)
| ~ rpoint(X1)
| vd1409 = X1 ),
inference(resolution,[],[f609,f1093]) ).
fof(f1093,plain,
! [X6,X7,X4,X5] :
( ~ ron(X4,X6)
| ~ ron(X4,X7)
| ~ ron(X5,X6)
| ~ ron(X5,X7)
| ~ rline(X6)
| ~ rline(X7)
| X6 = X7
| ~ rpoint(X4)
| ~ rpoint(X5)
| X4 = X5 ),
inference(equality_resolution,[],[f1092]) ).
fof(f1092,plain,
! [X3,X6,X7,X4,X5] :
( X3 = X6
| ~ rpoint(X4)
| ~ rpoint(X5)
| X4 = X5
| ~ rline(X6)
| ~ rline(X7)
| X3 != X7
| ~ ron(X4,X6)
| ~ ron(X4,X3)
| ~ ron(X5,X6)
| ~ ron(X5,X3) ),
inference(equality_resolution,[],[f1091]) ).
fof(f1091,plain,
! [X2,X3,X6,X7,X4,X5] :
( X2 = X3
| ~ rpoint(X4)
| ~ rpoint(X5)
| X4 = X5
| ~ rline(X6)
| X2 != X6
| ~ rline(X7)
| X3 != X7
| ~ ron(X4,X2)
| ~ ron(X4,X3)
| ~ ron(X5,X2)
| ~ ron(X5,X3) ),
inference(equality_resolution,[],[f1090]) ).
fof(f1090,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( X2 = X3
| ~ rpoint(X4)
| ~ rpoint(X5)
| X1 != X5
| X1 = X4
| ~ rline(X6)
| X2 != X6
| ~ rline(X7)
| X3 != X7
| ~ ron(X4,X2)
| ~ ron(X4,X3)
| ~ ron(X1,X2)
| ~ ron(X1,X3) ),
inference(equality_resolution,[],[f751]) ).
fof(f751,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( X2 = X3
| ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X5)
| X1 != X5
| X0 = X1
| ~ rline(X6)
| X2 != X6
| ~ rline(X7)
| X3 != X7
| ~ ron(X0,X2)
| ~ ron(X0,X3)
| ~ ron(X1,X2)
| ~ ron(X1,X3) ),
inference(cnf_transformation,[],[f353]) ).
fof(f353,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| X0 = X1
| ! [X6] :
( ~ rline(X6)
| X2 != X6 )
| ! [X7] :
( ~ rline(X7)
| X3 != X7 )
| ~ ron(X0,X2)
| ~ ron(X0,X3)
| ~ ron(X1,X2)
| ~ ron(X1,X3) ),
inference(flattening,[],[f352]) ).
fof(f352,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| X0 = X1
| ! [X6] :
( ~ rline(X6)
| X2 != X6 )
| ! [X7] :
( ~ rline(X7)
| X3 != X7 )
| ~ ron(X0,X2)
| ~ ron(X0,X3)
| ~ ron(X1,X2)
| ~ ron(X1,X3) ),
inference(ennf_transformation,[],[f184]) ).
fof(f184,plain,
! [X0,X1,X2,X3] :
( ( ? [X4] :
( rpoint(X4)
& X0 = X4 )
& ? [X5] :
( rpoint(X5)
& X1 = X5 )
& X0 != X1
& ? [X6] :
( rline(X6)
& X2 = X6 )
& ? [X7] :
( rline(X7)
& X3 = X7 )
& ron(X0,X2)
& ron(X0,X3)
& ron(X1,X2)
& ron(X1,X3) )
=> X2 = X3 ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X15,X16,X17,X18] :
( ( ? [X22] :
( rpoint(X22)
& X15 = X22 )
& ? [X21] :
( rpoint(X21)
& X16 = X21 )
& X15 != X16
& ? [X20] :
( rline(X20)
& X17 = X20 )
& ? [X19] :
( rline(X19)
& X18 = X19 )
& ron(X15,X17)
& ron(X15,X18)
& ron(X16,X17)
& ron(X16,X18) )
=> X17 = X18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(73), 0), imp(cond(axiom(73), 0)))') ).
fof(f609,plain,
ron(vd1409,sK5),
inference(cnf_transformation,[],[f479]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO344+1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n011.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 : Fri May 3 22:05:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % (24410)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.38 % (24413)WARNING: value z3 for option sas not known
% 0.13/0.38 % (24414)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.38 % (24417)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)
% 0.13/0.38 % (24415)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)
% 0.13/0.38 % (24416)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)
% 0.13/0.38 % (24413)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)
% 0.13/0.38 % (24412)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.40 % (24411)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.44 Detected minimum model sizes of [3]
% 0.20/0.44 Detected maximum model sizes of [max]
% 0.20/0.44 Cannot represent all propositional literals internally
% 0.20/0.44 % (24414)Refutation not found, incomplete strategy% (24414)------------------------------
% 0.20/0.44 % (24414)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.44 % (24414)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.44
% 0.20/0.44 % (24414)Memory used [KB]: 2904
% 0.20/0.44 % (24414)Time elapsed: 0.056 s
% 0.20/0.44 % (24414)Instructions burned: 134 (million)
% 0.20/0.44 % (24414)------------------------------
% 0.20/0.44 % (24414)------------------------------
% 0.20/0.45 % (24418)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.20/0.46 Detected minimum model sizes of [3]
% 0.20/0.46 Detected maximum model sizes of [max]
% 0.20/0.46 Cannot represent all propositional literals internally
% 0.20/0.46 % (24411)Refutation not found, incomplete strategy% (24411)------------------------------
% 0.20/0.46 % (24411)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.46 % (24411)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.46
% 0.20/0.46 % (24411)Memory used [KB]: 2757
% 0.20/0.46 % (24411)Time elapsed: 0.066 s
% 0.20/0.46 % (24411)Instructions burned: 133 (million)
% 0.20/0.46 % (24411)------------------------------
% 0.20/0.46 % (24411)------------------------------
% 0.20/0.48 % (24419)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)
% 0.20/0.49 Detected minimum model sizes of [3]
% 0.20/0.49 Detected maximum model sizes of [max]
% 0.20/0.49 Cannot represent all propositional literals internally
% 0.20/0.49 % (24418)Refutation not found, incomplete strategy% (24418)------------------------------
% 0.20/0.49 % (24418)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.49 % (24418)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.49
% 0.20/0.49 % (24418)Memory used [KB]: 2438
% 0.20/0.49 % (24418)Time elapsed: 0.034 s
% 0.20/0.49 % (24418)Instructions burned: 78 (million)
% 0.20/0.49 % (24418)------------------------------
% 0.20/0.49 % (24418)------------------------------
% 0.20/0.50 % (24420)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)
% 7.71/1.50 Detected minimum model sizes of [3]
% 7.71/1.50 Detected maximum model sizes of [max]
% 7.71/1.50 Cannot represent all propositional literals internally
% 7.71/1.50 % (24412)Refutation not found, incomplete strategy% (24412)------------------------------
% 7.71/1.50 % (24412)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 7.71/1.50 % (24412)Termination reason: Refutation not found, incomplete strategy
% 7.71/1.50
% 7.71/1.50 % (24412)Memory used [KB]: 13510
% 7.71/1.50 % (24412)Time elapsed: 1.129 s
% 7.71/1.50 % (24412)Instructions burned: 3976 (million)
% 7.71/1.50 % (24412)------------------------------
% 7.71/1.50 % (24412)------------------------------
% 7.71/1.53 % (24421)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)
% 25.58/4.05 % (24420)First to succeed.
% 25.58/4.05 % (24420)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-24410"
% 25.58/4.05 % (24420)Refutation found. Thanks to Tanya!
% 25.58/4.05 % SZS status Theorem for theBenchmark
% 25.58/4.05 % SZS output start Proof for theBenchmark
% See solution above
% 25.58/4.05 % (24420)------------------------------
% 25.58/4.05 % (24420)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 25.58/4.05 % (24420)Termination reason: Refutation
% 25.58/4.05
% 25.58/4.05 % (24420)Memory used [KB]: 13928
% 25.58/4.05 % (24420)Time elapsed: 3.549 s
% 25.58/4.05 % (24420)Instructions burned: 8572 (million)
% 25.58/4.05 % (24410)Success in time 3.679 s
%------------------------------------------------------------------------------