%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO342+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:52:32 AM UTC 2026
% Result : Theorem 3.78s 1.54s
% Output : Refutation 3.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 3
% Syntax : Number of formulae : 36 ( 9 unt; 0 def)
% Number of atoms : 161 ( 58 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 205 ( 80 ~; 82 |; 42 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 63 ( 52 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
? [X0] :
( ron(vd1399,X0)
& ron(vd1401,X0)
& rline(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(thee(the(408), 1))') ).
fof(f2,negated_conjecture,
~ ? [X0] :
( ron(vd1399,X0)
& ron(vd1401,X0)
& rline(X0) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f9,axiom,
( vd1406 = vd1407
& ron(vd1400,vd1406)
& ron(vd1399,vd1406)
& rline(vd1407)
& vd1400 != vd1401
& vd1399 != vd1401
& vd1399 != vd1400
& ? [X0] :
( vd1401 = X0
& rpoint(X0) )
& ? [X1] :
( vd1400 = X1
& rpoint(X1) )
& ? [X2] :
( vd1399 = X2
& rpoint(X2) ) ),
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(f36,axiom,
! [X0,X1] :
( ( X0 != X1
& ? [X2] :
( X1 = X2
& rpoint(X2) )
& ? [X3] :
( X0 = X3
& rpoint(X3) ) )
=> ? [X4] :
( ron(X1,X4)
& ron(X0,X4)
& rline(X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))') ).
fof(f130,plain,
! [X0] :
( ~ ron(vd1399,X0)
| ~ ron(vd1401,X0)
| ~ rline(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f183,plain,
! [X0,X1] :
( ? [X4] :
( ron(X1,X4)
& ron(X0,X4)
& rline(X4) )
| X0 = X1
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f184,plain,
! [X0,X1] :
( ? [X4] :
( ron(X1,X4)
& ron(X0,X4)
& rline(X4) )
| X0 = X1
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(flattening,[],[f183]) ).
fof(f349,plain,
( vd1406 = vd1407
& ron(vd1400,vd1406)
& ron(vd1399,vd1406)
& rline(vd1407)
& vd1400 != vd1401
& vd1399 != vd1401
& vd1399 != vd1400
& vd1401 = sK1
& rpoint(sK1)
& vd1400 = sK2
& rpoint(sK2)
& vd1399 = sK3
& rpoint(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3)],[f9]) ).
fof(f362,plain,
! [X0,X1] :
( ? [X2] :
( ron(X1,X2)
& ron(X0,X2)
& rline(X2) )
| X0 = X1
| ! [X3] :
( X1 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X0 != X4
| ~ rpoint(X4) ) ),
inference(rectify,[],[f184]) ).
fof(f363,plain,
! [X0,X1] :
( ( ron(X1,sK8(X0,X1))
& ron(X0,sK8(X0,X1))
& rline(sK8(X0,X1)) )
| X0 = X1
| ! [X3] :
( X1 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X0 != X4
| ~ rpoint(X4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X2,sK8(X0,X1))],[f362]) ).
fof(f427,plain,
! [X0] :
( ~ rline(X0)
| ~ ron(vd1401,X0)
| ~ ron(vd1399,X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f434,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f349]) ).
fof(f435,plain,
vd1399 = sK3,
inference(cnf_transformation,[],[f349]) ).
fof(f438,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f349]) ).
fof(f439,plain,
vd1401 = sK1,
inference(cnf_transformation,[],[f349]) ).
fof(f441,plain,
vd1399 != vd1401,
inference(cnf_transformation,[],[f349]) ).
fof(f489,plain,
! [X3,X0,X1,X4] :
( rline(sK8(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f363]) ).
fof(f490,plain,
! [X3,X0,X1,X4] :
( ron(X0,sK8(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f363]) ).
fof(f491,plain,
! [X3,X0,X1,X4] :
( ron(X1,sK8(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f363]) ).
fof(f863,plain,
! [X3,X0,X4] :
( ron(X3,sK8(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f491]) ).
fof(f864,plain,
! [X3,X4] :
( ron(X3,sK8(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f863]) ).
fof(f865,plain,
! [X3,X0,X4] :
( ron(X0,sK8(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f490]) ).
fof(f866,plain,
! [X3,X4] :
( ron(X4,sK8(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f865]) ).
fof(f867,plain,
! [X3,X0,X4] :
( rline(sK8(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f489]) ).
fof(f868,plain,
! [X3,X4] :
( rline(sK8(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f867]) ).
fof(f1540,plain,
rpoint(vd1399),
inference(superposition,[],[f434,f435]) ).
fof(f1542,plain,
rpoint(vd1401),
inference(superposition,[],[f438,f439]) ).
fof(f1551,plain,
! [X0,X1] :
( ~ ron(vd1401,sK8(X1,X0))
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1
| ~ ron(vd1399,sK8(X1,X0)) ),
inference(resolution,[],[f868,f427]) ).
fof(f1592,plain,
! [X0] :
( vd1401 = X0
| ~ rpoint(vd1401)
| ~ rpoint(X0)
| ~ rpoint(vd1401)
| ~ rpoint(X0)
| vd1401 = X0
| ~ ron(vd1399,sK8(X0,vd1401)) ),
inference(resolution,[],[f864,f1551]) ).
fof(f1593,plain,
! [X0] :
( vd1401 = X0
| ~ rpoint(vd1401)
| ~ rpoint(X0)
| ~ ron(vd1399,sK8(X0,vd1401)) ),
inference(duplicate_literal_removal,[],[f1592]) ).
fof(f1594,plain,
! [X0] :
( ~ ron(vd1399,sK8(X0,vd1401))
| ~ rpoint(X0)
| vd1401 = X0 ),
inference(forward_subsumption_resolution,[],[f1593,f1542]) ).
fof(f1596,plain,
( vd1399 = vd1401
| ~ rpoint(vd1401)
| ~ rpoint(vd1399)
| ~ rpoint(vd1399)
| vd1399 = vd1401 ),
inference(resolution,[],[f866,f1594]) ).
fof(f1597,plain,
( vd1399 = vd1401
| ~ rpoint(vd1401)
| ~ rpoint(vd1399) ),
inference(duplicate_literal_removal,[],[f1596]) ).
fof(f1599,plain,
( ~ rpoint(vd1401)
| ~ rpoint(vd1399) ),
inference(forward_subsumption_resolution,[],[f1597,f441]) ).
fof(f1601,plain,
~ rpoint(vd1399),
inference(forward_subsumption_resolution,[],[f1599,f1542]) ).
fof(f1602,plain,
$false,
inference(forward_subsumption_resolution,[],[f1601,f1540]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO342+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 % Computer : n014.cluster.edu
% 0.10/0.41 % Model : x86_64 x86_64
% 0.10/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.41 % Memory : 8046.5625MB
% 0.10/0.41 % OS : Linux 6.8.0-71-generic
% 0.10/0.41 % CPULimit : 300
% 0.10/0.41 % WCLimit : 300
% 0.10/0.41 % DateTime : Sun Sep 27 08:08:17 UTC 2026
% 0.10/0.41 % CPUTime :
% 0.10/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.45 Running first-order theorem proving
% 0.10/0.45 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.78/1.54 % (487535)Detected formulas, will run a generic FOF schedule.
% 3.78/1.54 % (487540)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=105574524:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.78/1.54 % (487544)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3695421857:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.78/1.54 % (487545)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1529307531:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.78/1.54 % (487543)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=173643598:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.78/1.54 % (487542)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1133272115:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.78/1.54 % (487541)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1304989945:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.78/1.54 % (487543)Refutation not found, incomplete strategy
% 3.78/1.54 % (487543)------------------------------
% 3.78/1.54 % (487543)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.78/1.54 % (487543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.78/1.54 % (487543)CaDiCaL version: 2.1.3
% 3.78/1.54 % (487543)Termination reason: Refutation not found, incomplete strategy
% 3.78/1.54 % (487543)Time elapsed: 0.004 s
% 3.78/1.54 % (487543)Peak memory usage: 88 MB
% 3.78/1.54 % (487543)Instructions burned: 3 (million)
% 3.78/1.54 % (487546)dis-21_1_sil=8000:lcm=predicate:random_seed=861070448:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.78/1.54 % (487545)First to succeed.
% 3.78/1.54 % (487545)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-487535"
% 3.78/1.54 % (487544)Instruction limit reached!
% 3.78/1.54 % (487544)------------------------------
% 3.78/1.54 % (487544)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.78/1.54 % (487544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.78/1.54 % (487544)CaDiCaL version: 2.1.3
% 3.78/1.54 % (487544)Termination reason: Instruction limit
% 3.78/1.54 % (487544)Termination phase: Saturation
% 3.78/1.54 % (487544)Time elapsed: 0.063 s
% 3.78/1.54 % (487544)Peak memory usage: 88 MB
% 3.78/1.54 % (487544)Instructions burned: 120 (million)
% 3.78/1.54 % (487546)Instruction limit reached!
% 3.78/1.54 % (487546)------------------------------
% 3.78/1.54 % (487546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.78/1.54 % (487546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.78/1.54 % (487546)CaDiCaL version: 2.1.3
% 3.78/1.54 % (487546)Termination reason: Instruction limit
% 3.78/1.54 % (487546)Termination phase: Saturation
% 3.78/1.54 % (487546)Time elapsed: 0.072 s
% 3.78/1.54 % (487546)Peak memory usage: 90 MB
% 3.78/1.54 % (487546)Instructions burned: 130 (million)
% 3.78/1.54 % (487554)lrs+10_1_sil=8000:sp=occurrence:random_seed=3652488470:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.78/1.54 % (487554)Also succeeded, but the first one will report.
% 3.78/1.54 % (487555)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3013655248:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.78/1.54 % (487543)------------------------------
% 3.78/1.54 % (487543)------------------------------
% 3.78/1.54 % (487555)Also succeeded, but the first one will report.
% 3.78/1.54 % (487545)Refutation found. Thanks to Tanya!
% 3.78/1.54 % SZS status Theorem for theBenchmark
% 3.78/1.54 % SZS output start Proof for theBenchmark
% See solution above
% 3.78/1.54 % (487545)------------------------------
% 3.78/1.54 % (487545)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.78/1.54 % (487545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.78/1.54 % (487545)CaDiCaL version: 2.1.3
% 3.78/1.54 % (487545)Termination reason: Refutation
% 3.78/1.54 % (487545)Time elapsed: 0.018 s
% 3.78/1.54 % (487545)Peak memory usage: 89 MB
% 3.78/1.54 % (487545)Instructions burned: 31 (million)
% 3.78/1.54 % (487545)------------------------------
% 3.78/1.54 % (487545)------------------------------
% 3.78/1.54 % (487535)Success in time 0.457 s
% 3.78/1.54 % Vampire exiting
%------------------------------------------------------------------------------