%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO331+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 : n002.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 09:52:29 AM UTC 2026
% Result : Theorem 3.70s 1.41s
% Output : Refutation 3.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 10
% Syntax : Number of formulae : 52 ( 23 unt; 0 def)
% Number of atoms : 250 ( 146 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 324 ( 126 ~; 170 |; 24 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-3 aty)
% Number of variables : 81 ( 72 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
vf(vd1352,vd1353) = vf(vd1352,vd1354),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(384, 1360, 0)') ).
fof(f2,negated_conjecture,
vf(vd1352,vd1353) != vf(vd1352,vd1354),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
vangle(vd1352,vd1353,vd1354) = vangle(vd1352,vd1354,vd1353),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(383, 1356, 0)') ).
fof(f4,axiom,
vd1353 != vd1354,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(383, 9)') ).
fof(f5,axiom,
vd1352 != vd1354,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(383, 8)') ).
fof(f6,axiom,
vd1352 != vd1353,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(383, 7)') ).
fof(f7,axiom,
? [X0] :
( vd1354 = X0
& rpoint(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s3(plural(383)))') ).
fof(f8,axiom,
? [X0] :
( vd1353 = X0
& rpoint(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s2(plural(383)))') ).
fof(f9,axiom,
? [X0] :
( vd1352 = X0
& rpoint(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s1(plural(383)))') ).
fof(f10,axiom,
! [X0,X1,X2] :
( ( vangle(X0,X1,X2) = vangle(X0,X2,X1)
& X1 != X2
& X0 != X2
& X0 != X1
& ? [X3] :
( X2 = X3
& rpoint(X3) )
& ? [X4] :
( X1 = X4
& rpoint(X4) )
& ? [X5] :
( X0 = X5
& rpoint(X5) ) )
=> ( vf(X0,X1) != vf(X0,X2)
=> ( rless(vf(X0,X1),vf(X0,X2))
| rless(vf(X0,X2),vf(X0,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(proof(385), 0), 0)') ).
fof(f11,axiom,
! [X0,X1,X2] :
( ( vangle(X0,X1,X2) = vangle(X0,X2,X1)
& X1 != X2
& X0 != X2
& X0 != X1
& ? [X3] :
( X2 = X3
& rpoint(X3) )
& ? [X4] :
( X1 = X4
& rpoint(X4) )
& ? [X5] :
( X0 = X5
& rpoint(X5) ) )
=> ( vf(X0,X1) != vf(X0,X2)
=> ~ rless(vf(X0,X1),vf(X0,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(proof(385), 0), 1)') ).
fof(f128,plain,
vf(vd1352,vd1353) != vf(vd1352,vd1354),
inference(flattening,[],[f2]) ).
fof(f133,plain,
! [X0,X1,X2] :
( rless(vf(X0,X1),vf(X0,X2))
| rless(vf(X0,X2),vf(X0,X1))
| vf(X0,X1) = vf(X0,X2)
| vangle(X0,X1,X2) != vangle(X0,X2,X1)
| X1 = X2
| X0 = X2
| X0 = X1
| ! [X3] :
( X2 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f134,plain,
! [X0,X1,X2] :
( rless(vf(X0,X1),vf(X0,X2))
| rless(vf(X0,X2),vf(X0,X1))
| vf(X0,X1) = vf(X0,X2)
| vangle(X0,X1,X2) != vangle(X0,X2,X1)
| X1 = X2
| X0 = X2
| X0 = X1
| ! [X3] :
( X2 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(flattening,[],[f133]) ).
fof(f135,plain,
! [X0,X1,X2] :
( ~ rless(vf(X0,X1),vf(X0,X2))
| vf(X0,X1) = vf(X0,X2)
| vangle(X0,X1,X2) != vangle(X0,X2,X1)
| X1 = X2
| X0 = X2
| X0 = X1
| ! [X3] :
( X2 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f136,plain,
! [X0,X1,X2] :
( ~ rless(vf(X0,X1),vf(X0,X2))
| vf(X0,X1) = vf(X0,X2)
| vangle(X0,X1,X2) != vangle(X0,X2,X1)
| X1 = X2
| X0 = X2
| X0 = X1
| ! [X3] :
( X2 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(flattening,[],[f135]) ).
fof(f355,plain,
( vd1354 = sK1
& rpoint(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f7]) ).
fof(f356,plain,
( vd1353 = sK2
& rpoint(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X0,sK2)],[f8]) ).
fof(f357,plain,
( vd1352 = sK3
& rpoint(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X0,sK3)],[f9]) ).
fof(f435,plain,
vf(vd1352,vd1353) != vf(vd1352,vd1354),
inference(cnf_transformation,[],[f128]) ).
fof(f436,plain,
vangle(vd1352,vd1353,vd1354) = vangle(vd1352,vd1354,vd1353),
inference(cnf_transformation,[],[f3]) ).
fof(f437,plain,
vd1353 != vd1354,
inference(cnf_transformation,[],[f4]) ).
fof(f438,plain,
vd1352 != vd1354,
inference(cnf_transformation,[],[f5]) ).
fof(f439,plain,
vd1352 != vd1353,
inference(cnf_transformation,[],[f6]) ).
fof(f440,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f355]) ).
fof(f441,plain,
vd1354 = sK1,
inference(cnf_transformation,[],[f355]) ).
fof(f442,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f356]) ).
fof(f443,plain,
vd1353 = sK2,
inference(cnf_transformation,[],[f356]) ).
fof(f444,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f357]) ).
fof(f445,plain,
vd1352 = sK3,
inference(cnf_transformation,[],[f357]) ).
fof(f446,plain,
! [X2,X3,X0,X1,X4,X5] :
( rless(vf(X0,X1),vf(X0,X2))
| rless(vf(X0,X2),vf(X0,X1))
| vf(X0,X1) = vf(X0,X2)
| vangle(X0,X1,X2) != vangle(X0,X2,X1)
| X1 = X2
| X0 = X2
| X0 = X1
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(cnf_transformation,[],[f134]) ).
fof(f447,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ rless(vf(X0,X1),vf(X0,X2))
| vf(X0,X1) = vf(X0,X2)
| vangle(X0,X1,X2) != vangle(X0,X2,X1)
| X1 = X2
| X0 = X2
| X0 = X1
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(cnf_transformation,[],[f136]) ).
fof(f696,plain,
! [X3,X0,X1,X4,X5] :
( rless(vf(X0,X1),vf(X0,X3))
| rless(vf(X0,X3),vf(X0,X1))
| vf(X0,X1) = vf(X0,X3)
| vangle(X0,X1,X3) != vangle(X0,X3,X1)
| X1 = X3
| X0 = X3
| X0 = X1
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f446]) ).
fof(f697,plain,
! [X3,X0,X4,X5] :
( rless(vf(X0,X4),vf(X0,X3))
| rless(vf(X0,X3),vf(X0,X4))
| vf(X0,X3) = vf(X0,X4)
| vangle(X0,X4,X3) != vangle(X0,X3,X4)
| X3 = X4
| X0 = X3
| X0 = X4
| ~ rpoint(X3)
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f696]) ).
fof(f698,plain,
! [X3,X4,X5] :
( rless(vf(X5,X4),vf(X5,X3))
| rless(vf(X5,X3),vf(X5,X4))
| vf(X5,X3) = vf(X5,X4)
| vangle(X5,X3,X4) != vangle(X5,X4,X3)
| X3 = X4
| X3 = X5
| X4 = X5
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f697]) ).
fof(f699,plain,
! [X3,X0,X1,X4,X5] :
( ~ rless(vf(X0,X1),vf(X0,X3))
| vf(X0,X1) = vf(X0,X3)
| vangle(X0,X1,X3) != vangle(X0,X3,X1)
| X1 = X3
| X0 = X3
| X0 = X1
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f447]) ).
fof(f700,plain,
! [X3,X0,X4,X5] :
( ~ rless(vf(X0,X4),vf(X0,X3))
| vf(X0,X3) = vf(X0,X4)
| vangle(X0,X4,X3) != vangle(X0,X3,X4)
| X3 = X4
| X0 = X3
| X0 = X4
| ~ rpoint(X3)
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f699]) ).
fof(f701,plain,
! [X3,X4,X5] :
( vangle(X5,X3,X4) != vangle(X5,X4,X3)
| vf(X5,X3) = vf(X5,X4)
| ~ rless(vf(X5,X4),vf(X5,X3))
| X3 = X4
| X3 = X5
| X4 = X5
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f700]) ).
fof(f1535,plain,
rpoint(vd1354),
inference(superposition,[],[f440,f441]) ).
fof(f1536,plain,
rpoint(vd1353),
inference(superposition,[],[f442,f443]) ).
fof(f1537,plain,
rpoint(vd1352),
inference(superposition,[],[f444,f445]) ).
fof(f1602,plain,
! [X3,X4,X5] :
( rless(vf(X5,X3),vf(X5,X4))
| vf(X5,X3) = vf(X5,X4)
| vangle(X5,X3,X4) != vangle(X5,X4,X3)
| X3 = X4
| X3 = X5
| X4 = X5
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(forward_subsumption_resolution,[],[f698,f701]) ).
fof(f1603,plain,
! [X3,X4,X5] :
( vangle(X5,X3,X4) != vangle(X5,X4,X3)
| vf(X5,X3) = vf(X5,X4)
| X3 = X4
| X3 = X5
| X4 = X5
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(forward_subsumption_resolution,[],[f1602,f701]) ).
fof(f1605,plain,
( vangle(vd1352,vd1353,vd1354) != vangle(vd1352,vd1353,vd1354)
| vf(vd1352,vd1353) = vf(vd1352,vd1354)
| vd1353 = vd1354
| vd1352 = vd1353
| vd1352 = vd1354
| ~ rpoint(vd1353)
| ~ rpoint(vd1354)
| ~ rpoint(vd1352) ),
inference(superposition,[],[f1603,f436]) ).
fof(f1608,plain,
( vf(vd1352,vd1353) = vf(vd1352,vd1354)
| vd1353 = vd1354
| vd1352 = vd1353
| vd1352 = vd1354
| ~ rpoint(vd1353)
| ~ rpoint(vd1354)
| ~ rpoint(vd1352) ),
inference(trivial_inequality_removal,[],[f1605]) ).
fof(f1610,plain,
( vd1353 = vd1354
| vd1352 = vd1353
| vd1352 = vd1354
| ~ rpoint(vd1353)
| ~ rpoint(vd1354)
| ~ rpoint(vd1352) ),
inference(forward_subsumption_resolution,[],[f1608,f435]) ).
fof(f1612,plain,
( vd1352 = vd1353
| vd1352 = vd1354
| ~ rpoint(vd1353)
| ~ rpoint(vd1354)
| ~ rpoint(vd1352) ),
inference(forward_subsumption_resolution,[],[f1610,f437]) ).
fof(f1614,plain,
( vd1352 = vd1354
| ~ rpoint(vd1353)
| ~ rpoint(vd1354)
| ~ rpoint(vd1352) ),
inference(forward_subsumption_resolution,[],[f1612,f439]) ).
fof(f1616,plain,
( ~ rpoint(vd1353)
| ~ rpoint(vd1354)
| ~ rpoint(vd1352) ),
inference(forward_subsumption_resolution,[],[f1614,f438]) ).
fof(f1618,plain,
( ~ rpoint(vd1354)
| ~ rpoint(vd1352) ),
inference(forward_subsumption_resolution,[],[f1616,f1536]) ).
fof(f1620,plain,
~ rpoint(vd1352),
inference(forward_subsumption_resolution,[],[f1618,f1535]) ).
fof(f1622,plain,
$false,
inference(forward_subsumption_resolution,[],[f1620,f1537]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO331+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n002.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 08:09:21 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 2.79/1.32 % (3222842)Detected formulas, will run a generic FOF schedule.
% 2.79/1.32 % (3222851)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1768059432:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.79/1.32 % (3222851)Instruction limit reached!
% 2.79/1.32 % (3222851)------------------------------
% 2.79/1.32 % (3222851)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.79/1.32 % (3222851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/1.32 % (3222851)CaDiCaL version: 2.1.3
% 2.79/1.32 % (3222851)Termination reason: Instruction limit
% 2.79/1.32 % (3222851)Termination phase: Saturation
% 2.79/1.32 % (3222851)Time elapsed: 0.035 s
% 2.79/1.32 % (3222851)Peak memory usage: 89 MB
% 2.79/1.32 % (3222851)Instructions burned: 120 (million)
% 2.79/1.32 % (3222849)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=240476084:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.79/1.32 % (3222848)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=406610171:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.79/1.32 % (3222853)dis-21_1_sil=8000:lcm=predicate:random_seed=1173755421: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)
% 2.79/1.32 % (3222852)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1719107679:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.79/1.32 % (3222847)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=862777241:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.79/1.32 % (3222850)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2170990555:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.79/1.32 % (3222850)Refutation not found, incomplete strategy
% 2.79/1.32 % (3222850)------------------------------
% 2.79/1.32 % (3222850)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.79/1.32 % (3222850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/1.32 % (3222850)CaDiCaL version: 2.1.3
% 2.79/1.32 % (3222850)Termination reason: Refutation not found, incomplete strategy
% 2.79/1.32 % (3222850)Time elapsed: 0.002 s
% 2.79/1.32 % (3222850)Peak memory usage: 88 MB
% 2.79/1.32 % (3222850)Instructions burned: 1 (million)
% 2.79/1.32 % (3222852)First to succeed.
% 2.79/1.32 % (3222852)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3222842"
% 2.79/1.32 % (3222853)Instruction limit reached!
% 2.79/1.32 % (3222853)------------------------------
% 2.79/1.32 % (3222853)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.79/1.32 % (3222853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/1.32 % (3222853)CaDiCaL version: 2.1.3
% 2.79/1.32 % (3222853)Termination reason: Instruction limit
% 2.79/1.32 % (3222853)Termination phase: Saturation
% 2.79/1.32 % (3222853)Time elapsed: 0.056 s
% 2.79/1.32 % (3222853)Peak memory usage: 89 MB
% 2.79/1.32 % (3222853)Instructions burned: 129 (million)
% 2.79/1.32 % (3222855)lrs+10_1_sil=8000:sp=occurrence:random_seed=1688011914:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.79/1.32 % (3222855)Instruction limit reached!
% 2.79/1.32 % (3222855)------------------------------
% 2.79/1.32 % (3222855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.79/1.32 % (3222855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/1.32 % (3222855)CaDiCaL version: 2.1.3
% 2.79/1.32 % (3222855)Termination reason: Instruction limit
% 2.79/1.32 % (3222855)Termination phase: Saturation
% 2.79/1.32 % (3222855)Time elapsed: 0.083 s
% 2.79/1.32 % (3222855)Peak memory usage: 92 MB
% 2.79/1.32 % (3222855)Instructions burned: 288 (million)
% 2.79/1.32 % (3222862)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3062296907:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.79/1.32 % (3222862)Refutation not found, incomplete strategy
% 2.79/1.32 % (3222862)------------------------------
% 2.79/1.32 % (3222862)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.79/1.32 % (3222862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.70/1.41 % (3222862)CaDiCaL version: 2.1.3
% 3.70/1.41 % (3222862)Termination reason: Refutation not found, incomplete strategy
% 3.70/1.41 % (3222862)Time elapsed: 0.003 s
% 3.70/1.41 % (3222862)Peak memory usage: 89 MB
% 3.70/1.41 % (3222862)Instructions burned: 3 (million)
% 3.70/1.41 % (3222850)------------------------------
% 3.70/1.41 % (3222850)------------------------------
% 3.70/1.41 % (3222852)Refutation found. Thanks to Tanya!
% 3.70/1.41 % SZS status Theorem for theBenchmark
% 3.70/1.41 % SZS output start Proof for theBenchmark
% See solution above
% 3.70/1.41 % (3222852)------------------------------
% 3.70/1.41 % (3222852)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.70/1.41 % (3222852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.70/1.41 % (3222852)CaDiCaL version: 2.1.3
% 3.70/1.41 % (3222852)Termination reason: Refutation
% 3.70/1.41 % (3222852)Time elapsed: 0.020 s
% 3.70/1.41 % (3222852)Peak memory usage: 89 MB
% 3.70/1.41 % (3222852)Instructions burned: 35 (million)
% 3.70/1.41 % (3222852)------------------------------
% 3.70/1.41 % (3222852)------------------------------
% 3.70/1.41 % (3222842)Success in time 0.451 s
% 3.70/1.41 % Vampire exiting
%------------------------------------------------------------------------------