%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO305+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 09:52:23 AM UTC 2026
% Result : Theorem 2.80s 1.40s
% Output : Refutation 3.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of formulae : 39 ( 22 unt; 0 def)
% Number of atoms : 159 ( 40 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 224 ( 104 ~; 88 |; 31 &)
% ( 0 <=>; 1 =>; 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 : 63 ( 57 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
ron(vd1302,vd1297),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(conjunct2(349), 0)') ).
fof(f2,negated_conjecture,
~ ron(vd1302,vd1297),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f5,axiom,
( vd1302 = vd1303
& rR(vd1289,vd1287,vd1302)
& rpoint(vd1303)
& rR(vd1288,vd1287,vd1299) ),
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(f7,axiom,
ron(vd1289,vd1297),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s2(plural(347)), 0)') ).
fof(f8,axiom,
ron(vd1287,vd1297),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s1(plural(347)), 0)') ).
fof(f9,axiom,
rline(vd1297),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(347, 0)') ).
fof(f13,axiom,
( vf(vd1287,vd1288) = vf(vd1287,vd1289)
& vd1288 != vd1289
& vd1287 != vd1289
& vd1287 != vd1288
& ? [X0] :
( vd1289 = X0
& rpoint(X0) )
& ? [X1] :
( vd1288 = X1
& rpoint(X1) )
& ? [X2] :
( vd1287 = X2
& rpoint(X2) ) ),
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(f14,axiom,
! [X0,X1,X2,X3,X4] :
( ( X3 = X4
& ron(X1,X3)
& ron(X0,X3)
& rR(X1,X0,X2)
& rline(X4)
& ? [X5] :
( X2 = X5
& rpoint(X5) )
& ? [X6] :
( X1 = X6
& rpoint(X6) )
& ? [X7] :
( X0 = X7
& rpoint(X7) ) )
=> ron(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(83), 0), imp(cond(axiom(83), 0)))') ).
fof(f127,plain,
~ ron(vd1302,vd1297),
inference(flattening,[],[f2]) ).
fof(f132,plain,
! [X0,X1,X2,X3,X4] :
( ron(X2,X3)
| X3 != X4
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| ~ rR(X1,X0,X2)
| ~ rline(X4)
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f133,plain,
! [X0,X1,X2,X3,X4] :
( ron(X2,X3)
| X3 != X4
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| ~ rR(X1,X0,X2)
| ~ rline(X4)
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(flattening,[],[f132]) ).
fof(f344,plain,
( vf(vd1287,vd1288) = vf(vd1287,vd1289)
& vd1288 != vd1289
& vd1287 != vd1289
& vd1287 != vd1288
& vd1289 = sK1
& rpoint(sK1)
& vd1288 = sK2
& rpoint(sK2)
& vd1287 = sK3
& rpoint(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3)],[f13]) ).
fof(f420,plain,
~ ron(vd1302,vd1297),
inference(cnf_transformation,[],[f127]) ).
fof(f424,plain,
rpoint(vd1303),
inference(cnf_transformation,[],[f5]) ).
fof(f425,plain,
rR(vd1289,vd1287,vd1302),
inference(cnf_transformation,[],[f5]) ).
fof(f426,plain,
vd1302 = vd1303,
inference(cnf_transformation,[],[f5]) ).
fof(f428,plain,
ron(vd1289,vd1297),
inference(cnf_transformation,[],[f7]) ).
fof(f429,plain,
ron(vd1287,vd1297),
inference(cnf_transformation,[],[f8]) ).
fof(f430,plain,
rline(vd1297),
inference(cnf_transformation,[],[f9]) ).
fof(f434,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f344]) ).
fof(f435,plain,
vd1287 = sK3,
inference(cnf_transformation,[],[f344]) ).
fof(f438,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f344]) ).
fof(f439,plain,
vd1289 = sK1,
inference(cnf_transformation,[],[f344]) ).
fof(f444,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(X2,X3)
| X3 != X4
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| ~ rR(X1,X0,X2)
| ~ rline(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(cnf_transformation,[],[f133]) ).
fof(f689,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( ron(X2,X4)
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| ~ rR(X1,X0,X2)
| ~ rline(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f444]) ).
fof(f690,plain,
! [X0,X1,X6,X7,X4,X5] :
( ron(X5,X4)
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| ~ rR(X1,X0,X5)
| ~ rline(X4)
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f689]) ).
fof(f691,plain,
! [X0,X6,X7,X4,X5] :
( ron(X5,X4)
| ~ ron(X6,X4)
| ~ ron(X0,X4)
| ~ rR(X6,X0,X5)
| ~ rline(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f690]) ).
fof(f692,plain,
! [X6,X7,X4,X5] :
( ron(X5,X4)
| ~ ron(X6,X4)
| ~ ron(X7,X4)
| ~ rR(X6,X7,X5)
| ~ rline(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f691]) ).
fof(f1509,plain,
rpoint(vd1302),
inference(superposition,[],[f424,f426]) ).
fof(f1515,plain,
rpoint(vd1287),
inference(superposition,[],[f434,f435]) ).
fof(f1517,plain,
rpoint(vd1289),
inference(superposition,[],[f438,f439]) ).
fof(f1759,plain,
! [X0,X1] :
( ~ ron(X0,vd1297)
| ~ ron(X1,vd1297)
| ~ rR(X0,X1,vd1302)
| ~ rline(vd1297)
| ~ rpoint(vd1302)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(resolution,[],[f692,f420]) ).
fof(f1760,plain,
! [X0,X1] :
( ~ ron(X0,vd1297)
| ~ ron(X1,vd1297)
| ~ rR(X0,X1,vd1302)
| ~ rpoint(vd1302)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f1759,f430]) ).
fof(f1761,plain,
! [X0,X1] :
( ~ rR(X0,X1,vd1302)
| ~ ron(X1,vd1297)
| ~ ron(X0,vd1297)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f1760,f1509]) ).
fof(f1762,plain,
( ~ ron(vd1287,vd1297)
| ~ ron(vd1289,vd1297)
| ~ rpoint(vd1289)
| ~ rpoint(vd1287) ),
inference(resolution,[],[f1761,f425]) ).
fof(f1763,plain,
( ~ ron(vd1289,vd1297)
| ~ rpoint(vd1289)
| ~ rpoint(vd1287) ),
inference(forward_subsumption_resolution,[],[f1762,f429]) ).
fof(f1764,plain,
( ~ rpoint(vd1289)
| ~ rpoint(vd1287) ),
inference(forward_subsumption_resolution,[],[f1763,f428]) ).
fof(f1765,plain,
~ rpoint(vd1287),
inference(forward_subsumption_resolution,[],[f1764,f1517]) ).
fof(f1766,plain,
$false,
inference(forward_subsumption_resolution,[],[f1765,f1515]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO305+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n001.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 08:08:30 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.80/1.40 % (3233940)Detected formulas, will run a generic FOF schedule.
% 2.80/1.40 % (3233951)dis-21_1_sil=8000:lcm=predicate:random_seed=2950209814: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)
% 2.80/1.40 % (3233951)Instruction limit reached!
% 2.80/1.40 % (3233951)------------------------------
% 2.80/1.40 % (3233951)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.80/1.40 % (3233951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.80/1.40 % (3233951)CaDiCaL version: 2.1.3
% 2.80/1.40 % (3233951)Termination reason: Instruction limit
% 2.80/1.40 % (3233951)Termination phase: Saturation
% 2.80/1.40 % (3233951)Time elapsed: 0.037 s
% 2.80/1.40 % (3233951)Peak memory usage: 90 MB
% 2.80/1.40 % (3233951)Instructions burned: 132 (million)
% 2.80/1.40 % (3233949)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1438747537:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.80/1.40 % (3233948)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1359670879:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.80/1.40 % (3233946)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=291766792:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.80/1.40 % (3233947)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=2206069643:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.80/1.40 % (3233945)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=1391616348:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.80/1.40 % (3233950)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1019806526:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.80/1.40 % (3233948)Refutation not found, incomplete strategy
% 2.80/1.40 % (3233948)------------------------------
% 2.80/1.40 % (3233948)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.80/1.40 % (3233948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.80/1.40 % (3233948)CaDiCaL version: 2.1.3
% 2.80/1.40 % (3233948)Termination reason: Refutation not found, incomplete strategy
% 2.80/1.40 % (3233948)Time elapsed: 0.001 s
% 2.80/1.40 % (3233948)Peak memory usage: 87 MB
% 2.80/1.40 % (3233950)First to succeed.
% 2.80/1.40 % (3233950)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3233940"
% 2.80/1.40 % (3233949)Instruction limit reached!
% 2.80/1.40 % (3233949)------------------------------
% 2.80/1.40 % (3233949)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.80/1.40 % (3233949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.80/1.40 % (3233949)CaDiCaL version: 2.1.3
% 2.80/1.40 % (3233949)Termination reason: Instruction limit
% 2.80/1.40 % (3233949)Termination phase: Saturation
% 2.80/1.40 % (3233949)Time elapsed: 0.064 s
% 2.80/1.40 % (3233949)Peak memory usage: 88 MB
% 2.80/1.40 % (3233949)Instructions burned: 119 (million)
% 2.80/1.40 % (3233959)lrs+10_1_sil=8000:sp=occurrence:random_seed=979856980:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.80/1.40 % (3233959)Also succeeded, but the first one will report.
% 2.80/1.40 % (3233960)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3142408257:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.80/1.40 % (3233960)Refutation not found, incomplete strategy
% 2.80/1.40 % (3233960)------------------------------
% 2.80/1.40 % (3233960)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.80/1.40 % (3233960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.80/1.40 % (3233960)CaDiCaL version: 2.1.3
% 2.80/1.40 % (3233960)Termination reason: Refutation not found, incomplete strategy
% 2.80/1.40 % (3233960)Time elapsed: 0.002 s
% 2.80/1.40 % (3233960)Peak memory usage: 88 MB
% 2.80/1.40 % (3233960)Instructions burned: 2 (million)
% 2.80/1.40 % (3233948)------------------------------
% 2.80/1.40 % (3233948)------------------------------
% 2.80/1.40 % (3233950)Refutation found. Thanks to Tanya!
% 2.80/1.40 % SZS status Theorem for theBenchmark
% 2.80/1.40 % SZS output start Proof for theBenchmark
% See solution above
% 3.64/1.40 % (3233950)------------------------------
% 3.64/1.40 % (3233950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.40 % (3233950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.40 % (3233950)CaDiCaL version: 2.1.3
% 3.64/1.40 % (3233950)Termination reason: Refutation
% 3.64/1.40 % (3233950)Time elapsed: 0.025 s
% 3.64/1.40 % (3233950)Peak memory usage: 90 MB
% 3.64/1.40 % (3233950)Instructions burned: 40 (million)
% 3.64/1.40 % (3233950)------------------------------
% 3.64/1.40 % (3233950)------------------------------
% 3.64/1.40 % (3233940)Success in time 0.438 s
% 3.64/1.40 % Vampire exiting
%------------------------------------------------------------------------------