%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO343+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 : n016.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 09:52:33 AM UTC 2026
% Result : Theorem 4.42s 1.82s
% Output : Refutation 4.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 4
% Syntax : Number of formulae : 40 ( 16 unt; 0 def)
% Number of atoms : 211 ( 71 equ)
% Maximal formula atoms : 14 ( 5 avg)
% Number of connectives : 293 ( 122 ~; 117 |; 51 &)
% ( 0 <=>; 3 =>; 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 : 10 ( 10 usr; 10 con; 0-0 aty)
% Number of variables : 71 ( 62 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ron(vd1399,X0)
& ron(vd1401,X0)
& rline(X0) )
=> X0 = vd1416 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(theu(the(408), 1), imp(the(408)))') ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ron(vd1399,X0)
& ron(vd1401,X0)
& rline(X0) )
=> X0 = vd1416 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
( ron(vd1399,vd1416)
& ron(vd1401,vd1416)
& rline(vd1416) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(pred(s2(plural(the(408))), 0), and(pred(s1(plural(the(408))), 0), pred(the(408), 0)))') ).
fof(f5,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(f50,axiom,
! [X0,X1,X2,X3] :
( ( ron(X1,X3)
& ron(X1,X2)
& ron(X0,X3)
& ron(X0,X2)
& ? [X4] :
( X3 = X4
& rline(X4) )
& ? [X5] :
( X2 = X5
& rline(X5) )
& X0 != X1
& ? [X6] :
( X1 = X6
& rpoint(X6) )
& ? [X7] :
( X0 = X7
& rpoint(X7) ) )
=> X2 = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(73), 0), imp(cond(axiom(73), 0)))') ).
fof(f131,plain,
? [X0] :
( vd1416 != X0
& ron(vd1399,X0)
& ron(vd1401,X0)
& rline(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f132,plain,
? [X0] :
( vd1416 != X0
& ron(vd1399,X0)
& ron(vd1401,X0)
& rline(X0) ),
inference(flattening,[],[f131]) ).
fof(f211,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ~ ron(X1,X3)
| ~ ron(X1,X2)
| ~ ron(X0,X3)
| ~ ron(X0,X2)
| ! [X4] :
( X3 != X4
| ~ rline(X4) )
| ! [X5] :
( X2 != X5
| ~ rline(X5) )
| X0 = X1
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(ennf_transformation,[],[f50]) ).
fof(f212,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ~ ron(X1,X3)
| ~ ron(X1,X2)
| ~ ron(X0,X3)
| ~ ron(X0,X2)
| ! [X4] :
( X3 != X4
| ~ rline(X4) )
| ! [X5] :
( X2 != X5
| ~ rline(X5) )
| X0 = X1
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(flattening,[],[f211]) ).
fof(f351,plain,
( vd1416 != sK1
& ron(vd1399,sK1)
& ron(vd1401,sK1)
& rline(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f132]) ).
fof(f352,plain,
( vd1406 = vd1407
& ron(vd1400,vd1406)
& ron(vd1399,vd1406)
& rline(vd1407)
& vd1400 != vd1401
& vd1399 != vd1401
& vd1399 != vd1400
& vd1401 = sK2
& rpoint(sK2)
& vd1400 = sK3
& rpoint(sK3)
& vd1399 = sK4
& rpoint(sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4)],[f5]) ).
fof(f430,plain,
rline(sK1),
inference(cnf_transformation,[],[f351]) ).
fof(f431,plain,
ron(vd1401,sK1),
inference(cnf_transformation,[],[f351]) ).
fof(f432,plain,
ron(vd1399,sK1),
inference(cnf_transformation,[],[f351]) ).
fof(f433,plain,
vd1416 != sK1,
inference(cnf_transformation,[],[f351]) ).
fof(f434,plain,
rline(vd1416),
inference(cnf_transformation,[],[f3]) ).
fof(f435,plain,
ron(vd1401,vd1416),
inference(cnf_transformation,[],[f3]) ).
fof(f436,plain,
ron(vd1399,vd1416),
inference(cnf_transformation,[],[f3]) ).
fof(f438,plain,
rpoint(sK4),
inference(cnf_transformation,[],[f352]) ).
fof(f439,plain,
vd1399 = sK4,
inference(cnf_transformation,[],[f352]) ).
fof(f442,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f352]) ).
fof(f443,plain,
vd1401 = sK2,
inference(cnf_transformation,[],[f352]) ).
fof(f445,plain,
vd1399 != vd1401,
inference(cnf_transformation,[],[f352]) ).
fof(f539,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( X2 = X3
| ~ ron(X1,X3)
| ~ ron(X1,X2)
| ~ ron(X0,X3)
| ~ ron(X0,X2)
| X3 != X4
| ~ rline(X4)
| X2 != X5
| ~ rline(X5)
| X0 = X1
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(cnf_transformation,[],[f212]) ).
fof(f973,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( X2 = X4
| ~ ron(X1,X4)
| ~ ron(X1,X2)
| ~ ron(X0,X4)
| ~ ron(X0,X2)
| ~ rline(X4)
| X2 != X5
| ~ rline(X5)
| X0 = X1
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f539]) ).
fof(f974,plain,
! [X0,X1,X6,X7,X4,X5] :
( X4 = X5
| ~ ron(X1,X4)
| ~ ron(X1,X5)
| ~ ron(X0,X4)
| ~ ron(X0,X5)
| ~ rline(X4)
| ~ rline(X5)
| X0 = X1
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f973]) ).
fof(f975,plain,
! [X0,X6,X7,X4,X5] :
( X4 = X5
| ~ ron(X6,X4)
| ~ ron(X6,X5)
| ~ ron(X0,X4)
| ~ ron(X0,X5)
| ~ rline(X4)
| ~ rline(X5)
| X0 = X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f974]) ).
fof(f976,plain,
! [X6,X7,X4,X5] :
( ~ rline(X4)
| ~ ron(X6,X4)
| ~ ron(X6,X5)
| ~ ron(X7,X4)
| ~ ron(X7,X5)
| X4 = X5
| ~ rline(X5)
| X6 = X7
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f975]) ).
fof(f1543,plain,
rpoint(vd1399),
inference(superposition,[],[f438,f439]) ).
fof(f1545,plain,
rpoint(vd1401),
inference(superposition,[],[f442,f443]) ).
fof(f1969,plain,
! [X2,X0,X1] :
( ~ rline(X1)
| ~ ron(X0,X1)
| ~ ron(X2,sK1)
| ~ ron(X2,X1)
| sK1 = X1
| ~ ron(X0,sK1)
| X0 = X2
| ~ rpoint(X0)
| ~ rpoint(X2) ),
inference(resolution,[],[f976,f430]) ).
fof(f1976,plain,
! [X0,X1] :
( ~ ron(X0,vd1416)
| ~ ron(X1,sK1)
| ~ ron(X1,vd1416)
| vd1416 = sK1
| ~ ron(X0,sK1)
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(resolution,[],[f1969,f434]) ).
fof(f1991,plain,
! [X0,X1] :
( ~ ron(X1,sK1)
| ~ ron(X0,vd1416)
| ~ ron(X1,vd1416)
| ~ ron(X0,sK1)
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f1976,f433]) ).
fof(f2270,plain,
! [X0] :
( ~ ron(X0,vd1416)
| ~ ron(vd1399,vd1416)
| ~ ron(X0,sK1)
| vd1399 = X0
| ~ rpoint(X0)
| ~ rpoint(vd1399) ),
inference(resolution,[],[f1991,f432]) ).
fof(f2311,plain,
! [X0] :
( ~ ron(X0,vd1416)
| ~ ron(X0,sK1)
| vd1399 = X0
| ~ rpoint(X0)
| ~ rpoint(vd1399) ),
inference(forward_subsumption_resolution,[],[f2270,f436]) ).
fof(f2318,plain,
! [X0] :
( ~ ron(X0,sK1)
| ~ ron(X0,vd1416)
| vd1399 = X0
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f2311,f1543]) ).
fof(f2329,plain,
( ~ ron(vd1401,vd1416)
| vd1399 = vd1401
| ~ rpoint(vd1401) ),
inference(resolution,[],[f2318,f431]) ).
fof(f2368,plain,
( vd1399 = vd1401
| ~ rpoint(vd1401) ),
inference(forward_subsumption_resolution,[],[f2329,f435]) ).
fof(f2373,plain,
~ rpoint(vd1401),
inference(forward_subsumption_resolution,[],[f2368,f445]) ).
fof(f2378,plain,
$false,
inference(forward_subsumption_resolution,[],[f2373,f1545]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO343+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.42 % Computer : n016.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Sun Sep 27 08:13:17 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.42 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 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
% 4.42/1.82 % (2310410)Detected formulas, will run a generic FOF schedule.
% 4.42/1.82 % (2310418)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3726748282:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.42/1.82 % (2310420)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4293447118:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.42/1.82 % (2310418)Refutation not found, incomplete strategy
% 4.42/1.82 % (2310418)------------------------------
% 4.42/1.82 % (2310418)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.42/1.82 % (2310418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.42/1.82 % (2310418)CaDiCaL version: 2.1.3
% 4.42/1.82 % (2310418)Termination reason: Refutation not found, incomplete strategy
% 4.42/1.82 % (2310418)Time elapsed: 0.003 s
% 4.42/1.82 % (2310418)Peak memory usage: 89 MB
% 4.42/1.82 % (2310418)Instructions burned: 4 (million)
% 4.42/1.82 % (2310420)First to succeed.
% 4.42/1.82 % (2310420)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2310410"
% 4.42/1.82 % (2310416)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=2533183838:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.42/1.82 % (2310415)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=3846181113:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.42/1.82 % (2310417)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=2305763105:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.42/1.82 % (2310421)dis-21_1_sil=8000:lcm=predicate:random_seed=676001788: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)
% 4.42/1.82 % (2310419)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1531823711:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.42/1.82 % (2310419)Instruction limit reached!
% 4.42/1.82 % (2310419)------------------------------
% 4.42/1.82 % (2310419)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.42/1.82 % (2310419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.42/1.82 % (2310419)CaDiCaL version: 2.1.3
% 4.42/1.82 % (2310419)Termination reason: Instruction limit
% 4.42/1.82 % (2310419)Termination phase: Saturation
% 4.42/1.82 % (2310419)Time elapsed: 0.103 s
% 4.42/1.82 % (2310419)Peak memory usage: 89 MB
% 4.42/1.82 % (2310419)Instructions burned: 119 (million)
% 4.42/1.82 % (2310421)Instruction limit reached!
% 4.42/1.82 % (2310421)------------------------------
% 4.42/1.82 % (2310421)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.42/1.82 % (2310421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.42/1.82 % (2310421)CaDiCaL version: 2.1.3
% 4.42/1.82 % (2310421)Termination reason: Instruction limit
% 4.42/1.82 % (2310421)Termination phase: Saturation
% 4.42/1.82 % (2310421)Time elapsed: 0.110 s
% 4.42/1.82 % (2310421)Peak memory usage: 90 MB
% 4.42/1.82 % (2310421)Instructions burned: 129 (million)
% 4.42/1.82 % (2310418)------------------------------
% 4.42/1.82 % (2310418)------------------------------
% 4.42/1.82 % (2310420)Refutation found. Thanks to Tanya!
% 4.42/1.82 % SZS status Theorem for theBenchmark
% 4.42/1.82 % SZS output start Proof for theBenchmark
% See solution above
% 4.42/1.82 % (2310420)------------------------------
% 4.42/1.82 % (2310420)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.42/1.82 % (2310420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.42/1.82 % (2310420)CaDiCaL version: 2.1.3
% 4.42/1.82 % (2310420)Termination reason: Refutation
% 4.42/1.82 % (2310420)Time elapsed: 0.054 s
% 4.42/1.82 % (2310420)Peak memory usage: 90 MB
% 4.42/1.82 % (2310420)Instructions burned: 77 (million)
% 4.42/1.82 % (2310420)------------------------------
% 4.42/1.82 % (2310420)------------------------------
% 4.42/1.82 % (2310410)Success in time 0.51 s
% 4.42/1.82 % Vampire exiting
%------------------------------------------------------------------------------