%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO299+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 : n020.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 09:52:22 AM UTC 2026
% Result : Theorem 3.75s 1.42s
% Output : Refutation 3.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of formulae : 40 ( 21 unt; 1 def)
% Number of atoms : 161 ( 68 equ)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 195 ( 74 ~; 54 |; 65 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 2 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 14 con; 0-3 aty)
% Number of variables : 52 ( 0 sgn 35 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
vf(vd1185,vd1187) = vplus(vf(vd1185,vd1201),vf(vd1201,vd1187)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(324, 1255, 0)') ).
fof(f2,negated_conjecture,
vf(vd1185,vd1187) != vplus(vf(vd1185,vd1201),vf(vd1201,vd1187)),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
rR(vd1201,vd1185,vd1187),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(323, 1254, 0)') ).
fof(f8,axiom,
! [X0,X1,X2] :
( ( rR(X1,X0,X2)
& ? [X3] :
( X2 = X3
& rpoint(X3) )
& ? [X4] :
( X1 = X4
& rpoint(X4) )
& ? [X5] :
( X0 = X5
& rpoint(X5) ) )
=> vplus(vf(X0,X1),vf(X1,X2)) = vf(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(180), 0), imp(cond(axiom(180), 0)))') ).
fof(f22,axiom,
? [X0] :
( vd1201 = X0
& rpoint(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s3(plural(271)))') ).
fof(f26,axiom,
( ~ ? [X0] :
( ron(vd1187,X0)
& ron(vd1186,X0)
& ron(vd1185,X0)
& rline(X0) )
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& ? [X1] :
( vd1187 = X1
& rpoint(X1) )
& ? [X2] :
( vd1186 = X2
& rpoint(X2) )
& ? [X3] :
( vd1185 = X3
& rpoint(X3) )
& vd1179 != vd1180
& vd1178 != vd1180
& vd1178 != vd1179
& ? [X4] :
( vd1180 = X4
& rpoint(X4) )
& ? [X5] :
( vd1179 = X5
& rpoint(X5) )
& ? [X6] :
( vd1178 = X6
& rpoint(X6) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))') ).
fof(f162,plain,
vf(vd1185,vd1187) != vplus(vf(vd1185,vd1201),vf(vd1201,vd1187)),
inference(flattening,[],[f2]) ).
fof(f167,plain,
! [X0,X1,X2] :
( vplus(vf(X0,X1),vf(X1,X2)) = vf(X0,X2)
| ~ rR(X1,X0,X2)
| ! [X3] :
( X2 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f168,plain,
! [X0,X1,X2] :
( vplus(vf(X0,X1),vf(X1,X2)) = vf(X0,X2)
| ~ rR(X1,X0,X2)
| ! [X3] :
( X2 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(flattening,[],[f167]) ).
fof(f175,plain,
( ! [X0] :
( ~ ron(vd1187,X0)
| ~ ron(vd1186,X0)
| ~ ron(vd1185,X0)
| ~ rline(X0) )
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& ? [X1] :
( vd1187 = X1
& rpoint(X1) )
& ? [X2] :
( vd1186 = X2
& rpoint(X2) )
& ? [X3] :
( vd1185 = X3
& rpoint(X3) )
& vd1179 != vd1180
& vd1178 != vd1180
& vd1178 != vd1179
& ? [X4] :
( vd1180 = X4
& rpoint(X4) )
& ? [X5] :
( vd1179 = X5
& rpoint(X5) )
& ? [X6] :
( vd1178 = X6
& rpoint(X6) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f384,plain,
( vd1201 = sK1
& rpoint(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f22]) ).
fof(f386,plain,
( ! [X0] :
( ~ ron(vd1187,X0)
| ~ ron(vd1186,X0)
| ~ ron(vd1185,X0)
| ~ rline(X0) )
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& vd1187 = sK3
& rpoint(sK3)
& vd1186 = sK4
& rpoint(sK4)
& vd1185 = sK5
& rpoint(sK5)
& vd1179 != vd1180
& vd1178 != vd1180
& vd1178 != vd1179
& vd1180 = sK6
& rpoint(sK6)
& vd1179 = sK7
& rpoint(sK7)
& vd1178 = sK8
& rpoint(sK8) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7,sK8]),skolemize(X1,sK3),skolemize(X2,sK4),skolemize(X3,sK5),skolemize(X4,sK6),skolemize(X5,sK7),skolemize(X6,sK8)],[f175]) ).
fof(f460,plain,
vf(vd1185,vd1187) != vplus(vf(vd1185,vd1201),vf(vd1201,vd1187)),
inference(cnf_transformation,[],[f162]) ).
fof(f461,plain,
rR(vd1201,vd1185,vd1187),
inference(cnf_transformation,[],[f3]) ).
fof(f466,plain,
! [X2,X3,X0,X1,X4,X5] :
( vplus(vf(X0,X1),vf(X1,X2)) = vf(X0,X2)
| ~ rR(X1,X0,X2)
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(cnf_transformation,[],[f168]) ).
fof(f480,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f384]) ).
fof(f481,plain,
vd1201 = sK1,
inference(cnf_transformation,[],[f384]) ).
fof(f495,plain,
rpoint(sK5),
inference(cnf_transformation,[],[f386]) ).
fof(f496,plain,
vd1185 = sK5,
inference(cnf_transformation,[],[f386]) ).
fof(f499,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f386]) ).
fof(f500,plain,
vd1187 = sK3,
inference(cnf_transformation,[],[f386]) ).
fof(f764,plain,
! [X3,X0,X1,X4,X5] :
( vplus(vf(X0,X1),vf(X1,X3)) = vf(X0,X3)
| ~ rR(X1,X0,X3)
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f466]) ).
fof(f765,plain,
! [X3,X0,X4,X5] :
( vf(X0,X3) = vplus(vf(X0,X4),vf(X4,X3))
| ~ rR(X4,X0,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f764]) ).
fof(f766,plain,
! [X3,X4,X5] :
( ~ rR(X4,X5,X3)
| vf(X5,X3) = vplus(vf(X5,X4),vf(X4,X3))
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f765]) ).
fof(f1548,definition,
( spl55_20
<=> rR(vd1201,vd1185,vd1187) ),
introduced(definition,[new_symbols(definition,[spl55_20])],[avatar_definition]) ).
fof(f1550,plain,
( rR(vd1201,vd1185,vd1187)
| ~ spl55_20 ),
inference(avatar_component_clause,[],[f1548]) ).
fof(f1552,plain,
spl55_20,
inference(avatar_split_clause,[],[f461,f1548]) ).
fof(f1559,plain,
rpoint(vd1201),
inference(superposition,[],[f480,f481]) ).
fof(f1563,plain,
rpoint(vd1185),
inference(superposition,[],[f495,f496]) ).
fof(f1565,plain,
rpoint(vd1187),
inference(superposition,[],[f499,f500]) ).
fof(f1703,plain,
( vf(vd1185,vd1187) = vplus(vf(vd1185,vd1201),vf(vd1201,vd1187))
| ~ rpoint(vd1187)
| ~ rpoint(vd1201)
| ~ rpoint(vd1185)
| ~ spl55_20 ),
inference(resolution,[],[f766,f1550]) ).
fof(f1704,plain,
( ~ rpoint(vd1187)
| ~ rpoint(vd1201)
| ~ rpoint(vd1185)
| ~ spl55_20 ),
inference(forward_subsumption_resolution,[],[f1703,f460]) ).
fof(f1705,plain,
( ~ rpoint(vd1201)
| ~ rpoint(vd1185)
| ~ spl55_20 ),
inference(forward_subsumption_resolution,[],[f1704,f1565]) ).
fof(f1706,plain,
( ~ rpoint(vd1185)
| ~ spl55_20 ),
inference(forward_subsumption_resolution,[],[f1705,f1559]) ).
fof(f1707,plain,
( $false
| ~ spl55_20 ),
inference(forward_subsumption_resolution,[],[f1706,f1563]) ).
fof(f1708,plain,
~ spl55_20,
inference(avatar_contradiction_clause,[],[f1707]) ).
cnf(s22,plain,
spl55_20,
inference(sat_conversion,[],[f1552]) ).
cnf(s32,plain,
~ spl55_20,
inference(sat_conversion,[],[f1708]) ).
cnf(s34,plain,
$false,
inference(rat,[],[s22,s32]) ).
fof(f1709,plain,
$false,
inference(avatar_sat_refutation,[],[s34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO299+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n020.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 08:02:19 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 2.84/1.33 % (3080040)Detected formulas, will run a generic FOF schedule.
% 2.84/1.33 % (3080051)dis-21_1_sil=8000:lcm=predicate:random_seed=3983737000: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)
% 2.84/1.33 % (3080051)Instruction limit reached!
% 2.84/1.33 % (3080051)------------------------------
% 2.84/1.33 % (3080051)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.84/1.33 % (3080051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/1.33 % (3080051)CaDiCaL version: 2.1.3
% 2.84/1.33 % (3080051)Termination reason: Instruction limit
% 2.84/1.33 % (3080051)Termination phase: Saturation
% 2.84/1.33 % (3080051)Time elapsed: 0.038 s
% 2.84/1.33 % (3080051)Peak memory usage: 90 MB
% 2.84/1.33 % (3080051)Instructions burned: 130 (million)
% 2.84/1.33 % (3080050)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=239457688:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.84/1.33 % (3080047)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=2943960955:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.84/1.33 % (3080049)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=195181664:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.84/1.33 % (3080048)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3534538142:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.84/1.33 % (3080045)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=929897349:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.84/1.33 % (3080046)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=3113140773:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.84/1.33 % (3080048)Refutation not found, incomplete strategy
% 2.84/1.33 % (3080048)------------------------------
% 2.84/1.33 % (3080048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.84/1.33 % (3080048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/1.33 % (3080048)CaDiCaL version: 2.1.3
% 2.84/1.33 % (3080048)Termination reason: Refutation not found, incomplete strategy
% 2.84/1.33 % (3080048)Time elapsed: 0.003 s
% 2.84/1.33 % (3080048)Peak memory usage: 89 MB
% 2.84/1.33 % (3080048)Instructions burned: 2 (million)
% 2.84/1.33 % (3080050)First to succeed.
% 2.84/1.33 % (3080050)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3080040"
% 2.84/1.33 % (3080049)Instruction limit reached!
% 2.84/1.33 % (3080049)------------------------------
% 2.84/1.33 % (3080049)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.84/1.33 % (3080049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/1.33 % (3080049)CaDiCaL version: 2.1.3
% 2.84/1.33 % (3080049)Termination reason: Instruction limit
% 2.84/1.33 % (3080049)Termination phase: Saturation
% 2.84/1.33 % (3080049)Time elapsed: 0.066 s
% 2.84/1.33 % (3080049)Peak memory usage: 89 MB
% 2.84/1.33 % (3080049)Instructions burned: 120 (million)
% 2.84/1.33 % (3080053)lrs+10_1_sil=8000:sp=occurrence:random_seed=2512898630:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.84/1.33 % (3080053)Instruction limit reached!
% 2.84/1.33 % (3080053)------------------------------
% 2.84/1.33 % (3080053)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.84/1.33 % (3080053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/1.33 % (3080053)CaDiCaL version: 2.1.3
% 2.84/1.33 % (3080053)Termination reason: Instruction limit
% 2.84/1.33 % (3080053)Termination phase: Saturation
% 2.84/1.33 % (3080053)Time elapsed: 0.087 s
% 2.84/1.33 % (3080053)Peak memory usage: 93 MB
% 2.84/1.33 % (3080053)Instructions burned: 288 (million)
% 2.84/1.33 % (3080060)lrs+10_1_sil=32000:urr=on:br=off:random_seed=921505559:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.84/1.33 % (3080060)Refutation not found, incomplete strategy
% 2.84/1.33 % (3080060)------------------------------
% 2.84/1.33 % (3080060)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.84/1.33 % (3080060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.42 % (3080060)CaDiCaL version: 2.1.3
% 3.75/1.42 % (3080060)Termination reason: Refutation not found, incomplete strategy
% 3.75/1.42 % (3080060)Time elapsed: 0.004 s
% 3.75/1.42 % (3080060)Peak memory usage: 89 MB
% 3.75/1.42 % (3080060)Instructions burned: 4 (million)
% 3.75/1.42 % (3080048)------------------------------
% 3.75/1.42 % (3080048)------------------------------
% 3.75/1.42 % (3080050)Refutation found. Thanks to Tanya!
% 3.75/1.42 % SZS status Theorem for theBenchmark
% 3.75/1.42 % SZS output start Proof for theBenchmark
% See solution above
% 3.75/1.42 % (3080050)------------------------------
% 3.75/1.42 % (3080050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.75/1.42 % (3080050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.42 % (3080050)CaDiCaL version: 2.1.3
% 3.75/1.42 % (3080050)Termination reason: Refutation
% 3.75/1.42 % (3080050)Time elapsed: 0.020 s
% 3.75/1.42 % (3080050)Peak memory usage: 90 MB
% 3.75/1.42 % (3080050)Instructions burned: 33 (million)
% 3.75/1.42 % (3080050)------------------------------
% 3.75/1.42 % (3080050)------------------------------
% 3.75/1.42 % (3080040)Success in time 0.464 s
% 3.75/1.42 % Vampire exiting
%------------------------------------------------------------------------------