%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO277+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n018.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 09:54:20 AM UTC 2026
% Result : Theorem 5.54s 6.39s
% Output : Refutation 5.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 12
% Syntax : Number of formulae : 72 ( 34 unt; 0 def)
% Number of atoms : 275 ( 121 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 369 ( 166 ~; 168 |; 28 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-2 aty)
% Number of variables : 108 ( 99 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ron(vd1085,X0)
& ron(vd1089,X0)
& rline(X0) )
=> X0 = vd1099 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(theu(the(230), 1), imp(the(230)))') ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ron(vd1085,X0)
& ron(vd1089,X0)
& rline(X0) )
=> X0 = vd1099 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
( ron(vd1085,vd1099)
& ron(vd1089,vd1099)
& rline(vd1099) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(pred(s2(plural(the(230))), 0), and(pred(s1(plural(the(230))), 0), pred(the(230), 0)))') ).
fof(f9,axiom,
rpoint(vd1089),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(226, 0)') ).
fof(f10,axiom,
vd1085 = vd1086,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(225, 4)') ).
fof(f11,axiom,
rpoint(vd1086),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(225, 1)') ).
fof(f13,axiom,
vf(vd1089,vd1080) = vf(vd1085,vd1080),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(226, 1090, 1)') ).
fof(f14,axiom,
vf(vd1089,vd1085) = vf(vd1089,vd1080),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(226, 1090, 0)') ).
fof(f16,axiom,
vd1085 != vd1080,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(225), 1087, 0)') ).
fof(f24,axiom,
? [X0] :
( vd1080 = X0
& rpoint(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s1(plural(224)))') ).
fof(f36,axiom,
! [X0,X1] :
( ( ? [X2] :
( X1 = X2
& rpoint(X2) )
& ? [X3] :
( X0 = X3
& rpoint(X3) ) )
=> ( vf(X0,X1) = v0
<=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))') ).
fof(f38,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(f53,axiom,
v0 = vd684,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(axiom(137), 2)') ).
fof(f133,plain,
? [X0] :
( vd1099 != X0
& ron(vd1085,X0)
& ron(vd1089,X0)
& rline(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f134,plain,
? [X0] :
( vd1099 != X0
& ron(vd1085,X0)
& ron(vd1089,X0)
& rline(X0) ),
inference(flattening,[],[f133]) ).
fof(f163,plain,
! [X0,X1] :
( ( vf(X0,X1) = v0
<=> X0 = X1 )
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f164,plain,
! [X0,X1] :
( ( vf(X0,X1) = v0
<=> X0 = X1 )
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(flattening,[],[f163]) ).
fof(f167,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,[],[f38]) ).
fof(f168,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,[],[f167]) ).
fof(f333,plain,
rline(sK0),
inference(cnf_transformation,[],[f134]) ).
fof(f334,plain,
ron(vd1089,sK0),
inference(cnf_transformation,[],[f134]) ).
fof(f335,plain,
ron(vd1085,sK0),
inference(cnf_transformation,[],[f134]) ).
fof(f336,plain,
vd1099 != sK0,
inference(cnf_transformation,[],[f134]) ).
fof(f337,plain,
rline(vd1099),
inference(cnf_transformation,[],[f3]) ).
fof(f338,plain,
ron(vd1089,vd1099),
inference(cnf_transformation,[],[f3]) ).
fof(f339,plain,
ron(vd1085,vd1099),
inference(cnf_transformation,[],[f3]) ).
fof(f347,plain,
rpoint(vd1089),
inference(cnf_transformation,[],[f9]) ).
fof(f348,plain,
vd1085 = vd1086,
inference(cnf_transformation,[],[f10]) ).
fof(f349,plain,
rpoint(vd1086),
inference(cnf_transformation,[],[f11]) ).
fof(f353,plain,
vf(vd1089,vd1080) = vf(vd1085,vd1080),
inference(cnf_transformation,[],[f13]) ).
fof(f354,plain,
vf(vd1089,vd1080) = vf(vd1089,vd1085),
inference(cnf_transformation,[],[f14]) ).
fof(f356,plain,
vd1085 != vd1080,
inference(cnf_transformation,[],[f16]) ).
fof(f367,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f24]) ).
fof(f368,plain,
vd1080 = sK3,
inference(cnf_transformation,[],[f24]) ).
fof(f416,plain,
! [X2,X3,X0,X1] :
( ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X2)
| X1 != X2
| X0 != X1
| vf(X0,X1) = v0 ),
inference(cnf_transformation,[],[f164]) ).
fof(f417,plain,
! [X2,X3,X0,X1] :
( ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X2)
| X1 != X2
| X0 = X1
| vf(X0,X1) != v0 ),
inference(cnf_transformation,[],[f164]) ).
fof(f419,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ rpoint(X7)
| X0 != X7
| ~ rpoint(X6)
| X1 != X6
| X0 = X1
| ~ rline(X5)
| X2 != X5
| ~ rline(X4)
| X3 != X4
| ~ ron(X0,X2)
| ~ ron(X0,X3)
| ~ ron(X1,X2)
| ~ ron(X1,X3)
| X2 = X3 ),
inference(cnf_transformation,[],[f168]) ).
fof(f444,plain,
v0 = vd684,
inference(cnf_transformation,[],[f53]) ).
fof(f604,plain,
ron(vd1086,sK0),
inference(definition_unfolding,[],[f335,f348]) ).
fof(f605,plain,
ron(vd1086,vd1099),
inference(definition_unfolding,[],[f339,f348]) ).
fof(f610,plain,
vf(vd1089,sK3) = vf(vd1086,sK3),
inference(definition_unfolding,[],[f353,f368,f348,f368]) ).
fof(f611,plain,
vf(vd1089,sK3) = vf(vd1089,vd1086),
inference(definition_unfolding,[],[f354,f368,f348]) ).
fof(f613,plain,
vd1086 != sK3,
inference(definition_unfolding,[],[f356,f348,f368]) ).
fof(f619,plain,
! [X2,X3,X0,X1] :
( ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X2)
| X1 != X2
| X0 = X1
| vf(X0,X1) != vd684 ),
inference(definition_unfolding,[],[f417,f444]) ).
fof(f620,plain,
! [X2,X3,X0,X1] :
( ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X2)
| X1 != X2
| X0 != X1
| vf(X0,X1) = vd684 ),
inference(definition_unfolding,[],[f416,f444]) ).
fof(f1137,plain,
! [X2,X3,X1] :
( ~ rpoint(X3)
| ~ rpoint(X2)
| X1 != X2
| X1 = X3
| vd684 != vf(X3,X1) ),
inference(equality_resolution,[],[f619]) ).
fof(f1138,plain,
! [X2,X3] :
( vd684 != vf(X3,X2)
| ~ rpoint(X2)
| X2 = X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f1137]) ).
fof(f1139,plain,
! [X2,X3,X1] :
( ~ rpoint(X3)
| ~ rpoint(X2)
| X1 != X2
| X1 != X3
| vd684 = vf(X3,X1) ),
inference(equality_resolution,[],[f620]) ).
fof(f1140,plain,
! [X2,X3] :
( ~ rpoint(X3)
| ~ rpoint(X2)
| X2 != X3
| vd684 = vf(X3,X2) ),
inference(equality_resolution,[],[f1139]) ).
fof(f1141,plain,
! [X3] :
( ~ rpoint(X3)
| ~ rpoint(X3)
| vd684 = vf(X3,X3) ),
inference(equality_resolution,[],[f1140]) ).
fof(f1145,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( ~ rpoint(X7)
| ~ rpoint(X6)
| X1 != X6
| X1 = X7
| ~ rline(X5)
| X2 != X5
| ~ rline(X4)
| X3 != X4
| ~ ron(X7,X2)
| ~ ron(X7,X3)
| ~ ron(X1,X2)
| ~ ron(X1,X3)
| X2 = X3 ),
inference(equality_resolution,[],[f419]) ).
fof(f1146,plain,
! [X2,X3,X6,X7,X4,X5] :
( ~ rpoint(X7)
| ~ rpoint(X6)
| X6 = X7
| ~ rline(X5)
| X2 != X5
| ~ rline(X4)
| X3 != X4
| ~ ron(X7,X2)
| ~ ron(X7,X3)
| ~ ron(X6,X2)
| ~ ron(X6,X3)
| X2 = X3 ),
inference(equality_resolution,[],[f1145]) ).
fof(f1147,plain,
! [X3,X6,X7,X4,X5] :
( ~ rpoint(X7)
| ~ rpoint(X6)
| X6 = X7
| ~ rline(X5)
| ~ rline(X4)
| X3 != X4
| ~ ron(X7,X5)
| ~ ron(X7,X3)
| ~ ron(X6,X5)
| ~ ron(X6,X3)
| X3 = X5 ),
inference(equality_resolution,[],[f1146]) ).
fof(f1148,plain,
! [X6,X7,X4,X5] :
( ~ ron(X7,X5)
| ~ ron(X7,X4)
| ~ ron(X6,X5)
| ~ ron(X6,X4)
| ~ rline(X4)
| ~ rline(X5)
| X6 = X7
| ~ rpoint(X6)
| ~ rpoint(X7)
| X4 = X5 ),
inference(equality_resolution,[],[f1147]) ).
fof(f1716,plain,
! [X3] :
( ~ rpoint(X3)
| vd684 = vf(X3,X3) ),
inference(duplicate_literal_removal,[],[f1141]) ).
fof(f1733,plain,
vd684 = vf(vd1089,vd1089),
inference(resolution,[],[f1716,f347]) ).
fof(f2180,plain,
( vd684 != vf(vd1089,sK3)
| ~ rpoint(sK3)
| vd1086 = sK3
| ~ rpoint(vd1086) ),
inference(superposition,[],[f1138,f610]) ).
fof(f2181,plain,
( vd684 != vf(vd1089,sK3)
| vd1086 = sK3
| ~ rpoint(vd1086) ),
inference(forward_subsumption_resolution,[],[f2180,f367]) ).
fof(f2183,plain,
( vd684 != vf(vd1089,sK3)
| ~ rpoint(vd1086) ),
inference(forward_subsumption_resolution,[],[f2181,f613]) ).
fof(f2185,plain,
vd684 != vf(vd1089,sK3),
inference(forward_subsumption_resolution,[],[f2183,f349]) ).
fof(f5272,plain,
! [X0,X1] :
( ~ ron(X0,X1)
| ~ ron(X0,sK0)
| ~ ron(vd1086,X1)
| ~ rline(sK0)
| ~ rline(X1)
| vd1086 = X0
| ~ rpoint(vd1086)
| ~ rpoint(X0)
| sK0 = X1 ),
inference(resolution,[],[f1148,f604]) ).
fof(f5366,plain,
! [X0,X1] :
( ~ ron(X0,X1)
| ~ ron(X0,sK0)
| ~ ron(vd1086,X1)
| ~ rline(X1)
| vd1086 = X0
| ~ rpoint(vd1086)
| ~ rpoint(X0)
| sK0 = X1 ),
inference(forward_subsumption_resolution,[],[f5272,f333]) ).
fof(f5496,plain,
! [X0,X1] :
( ~ ron(vd1086,X1)
| ~ ron(X0,sK0)
| ~ ron(X0,X1)
| ~ rline(X1)
| vd1086 = X0
| ~ rpoint(X0)
| sK0 = X1 ),
inference(forward_subsumption_resolution,[],[f5366,f349]) ).
fof(f11453,plain,
! [X0] :
( ~ ron(X0,sK0)
| ~ ron(X0,vd1099)
| ~ rline(vd1099)
| vd1086 = X0
| ~ rpoint(X0)
| vd1099 = sK0 ),
inference(resolution,[],[f5496,f605]) ).
fof(f11803,plain,
! [X0] :
( ~ ron(X0,sK0)
| ~ ron(X0,vd1099)
| vd1086 = X0
| ~ rpoint(X0)
| vd1099 = sK0 ),
inference(forward_subsumption_resolution,[],[f11453,f337]) ).
fof(f11844,plain,
! [X0] :
( ~ ron(X0,sK0)
| ~ ron(X0,vd1099)
| vd1086 = X0
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f11803,f336]) ).
fof(f15432,plain,
( ~ ron(vd1089,vd1099)
| vd1089 = vd1086
| ~ rpoint(vd1089) ),
inference(resolution,[],[f11844,f334]) ).
fof(f15590,plain,
( vd1089 = vd1086
| ~ rpoint(vd1089) ),
inference(forward_subsumption_resolution,[],[f15432,f338]) ).
fof(f15598,plain,
vd1089 = vd1086,
inference(forward_subsumption_resolution,[],[f15590,f347]) ).
fof(f15602,plain,
vf(vd1089,sK3) = vf(vd1089,vd1089),
inference(superposition,[],[f611,f15598]) ).
fof(f15650,plain,
vd684 = vf(vd1089,sK3),
inference(forward_demodulation,[],[f15602,f1733]) ).
fof(f15651,plain,
$false,
inference(forward_subsumption_resolution,[],[f15650,f2185]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO277+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/5.38 % Computer : n018.cluster.edu
% 0.13/5.38 % Model : x86_64 x86_64
% 0.13/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/5.38 % Memory : 8046.5625MB
% 0.13/5.38 % OS : Linux 6.8.0-71-generic
% 0.13/5.38 % CPULimit : 300
% 0.13/5.38 % WCLimit : 300
% 0.13/5.38 % DateTime : Sun Sep 27 08:00:43 UTC 2026
% 0.13/5.39 % CPUTime :
% 0.13/5.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.16/5.42 Running first-order model finding
% 0.16/5.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/5.94 % (2007871)Will run a generic schedule for satisfiability detection.
% 0.16/5.94 % (2007882)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2764939066:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/5.94 % (2007877)% WARNING: option uhcvi not known.
% 0.16/5.94 % (2007878)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=789216639:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/5.94 % (2007876)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1944637526_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/5.94 % (2007877)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3616003642:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/5.94 % (2007879)dis+10_1_sil=32000:sp=arity:random_seed=542066729:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/5.94 % (2007880)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1849198303:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/5.94 % (2007881)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1405450158:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/5.94 % Detected minimum model sizes of [3]
% 0.16/5.94 % Detected maximum model sizes of [max]
% 0.16/5.94 % (2007876)Cannot represent all propositional literals internally
% 0.16/5.94 % (2007876)Refutation not found, incomplete strategy
% 0.16/5.94 % (2007876)------------------------------
% 0.16/5.94 % (2007876)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/5.94 % (2007876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/5.94 % (2007876)CaDiCaL version: 2.1.3
% 0.16/5.94 % (2007876)Termination reason: Refutation not found, incomplete strategy
% 0.16/5.94 % (2007876)Time elapsed: 0.032 s
% 0.16/5.94 % (2007876)Peak memory usage: 12 MB
% 0.16/5.94 % (2007876)Instructions burned: 66 (million)
% 0.16/5.94 % (2007876)------------------------------
% 0.16/5.94 % (2007876)------------------------------
% 0.16/5.94 % (2007882)Instruction limit reached!
% 0.16/5.94 % (2007882)------------------------------
% 0.16/5.94 % (2007882)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/5.94 % (2007882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/5.94 % (2007882)CaDiCaL version: 2.1.3
% 0.16/5.94 % (2007882)Termination reason: Instruction limit
% 0.16/5.94 % (2007882)Termination phase: Saturation
% 0.16/5.94 % (2007882)Time elapsed: 0.050 s
% 0.16/5.94 % (2007882)Peak memory usage: 15 MB
% 0.16/5.94 % (2007882)Instructions burned: 160 (million)
% 0.16/5.94 % (2007890)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=954320824:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.16/5.94 % (2007891)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=909536352:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/5.94 % (2007879)Instruction limit reached!
% 0.16/5.94 % (2007879)------------------------------
% 0.16/5.94 % (2007879)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/5.94 % (2007879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/5.94 % (2007879)CaDiCaL version: 2.1.3
% 0.16/5.94 % (2007879)Termination reason: Instruction limit
% 0.16/5.94 % (2007879)Termination phase: Saturation
% 0.16/5.94 % (2007879)Time elapsed: 0.057 s
% 0.16/5.94 % (2007879)Peak memory usage: 13 MB
% 0.16/5.94 % (2007879)Instructions burned: 103 (million)
% 0.16/5.94 % (2007880)Instruction limit reached!
% 0.16/5.94 % (2007880)------------------------------
% 0.16/5.94 % (2007880)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/5.94 % (2007880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/5.94 % (2007880)CaDiCaL version: 2.1.3
% 0.16/5.94 % (2007880)Termination reason: Instruction limit
% 0.16/5.94 % (2007880)Termination phase: Saturation
% 0.16/5.94 % (2007880)Time elapsed: 0.058 s
% 0.16/5.94 % (2007880)Peak memory usage: 13 MB
% 0.16/5.94 % (2007880)Instructions burned: 116 (million)
% 0.16/5.94 % (2007881)Instruction limit reached!
% 0.16/5.94 % (2007881)------------------------------
% 0.16/5.94 % (2007881)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/5.94 % (2007881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/5.94 % (2007881)CaDiCaL version: 2.1.3
% 0.16/5.94 % (2007881)Termination reason: Instruction limit
% 0.16/5.94 % (2007881)Termination phase: Saturation
% 0.16/5.94 % (2007881)Time elapsed: 0.066 s
% 4.92/6.19 % (2007881)Peak memory usage: 13 MB
% 4.92/6.19 % (2007881)Instructions burned: 132 (million)
% 4.92/6.19 % (2007894)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=466554713:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 4.92/6.19 % (2007895)ott-21_1_sil=16000:fs=off:random_seed=2415808095:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 4.92/6.19 % Detected minimum model sizes of [3]
% 4.92/6.19 % Detected maximum model sizes of [max]
% 4.92/6.19 % (2007890)Cannot represent all propositional literals internally
% 4.92/6.19 % (2007890)Refutation not found, incomplete strategy
% 4.92/6.19 % (2007890)------------------------------
% 4.92/6.19 % (2007890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.92/6.19 % (2007890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/6.19 % (2007890)CaDiCaL version: 2.1.3
% 4.92/6.19 % (2007890)Termination reason: Refutation not found, incomplete strategy
% 4.92/6.19 % (2007890)Time elapsed: 0.026 s
% 4.92/6.19 % (2007890)Peak memory usage: 12 MB
% 4.92/6.19 % (2007890)Instructions burned: 53 (million)
% 4.92/6.19 % (2007890)------------------------------
% 4.92/6.19 % (2007890)------------------------------
% 4.92/6.19 % (2007896)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=603523788:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 4.92/6.19 % (2007891)Instruction limit reached!
% 4.92/6.19 % (2007891)------------------------------
% 4.92/6.19 % (2007891)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.92/6.19 % (2007891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/6.19 % (2007891)CaDiCaL version: 2.1.3
% 4.92/6.19 % (2007891)Termination reason: Instruction limit
% 4.92/6.19 % (2007891)Termination phase: Saturation
% 4.92/6.19 % (2007891)Time elapsed: 0.031 s
% 4.92/6.19 % (2007891)Peak memory usage: 13 MB
% 4.92/6.19 % (2007891)Instructions burned: 137 (million)
% 4.92/6.19 % (2007901)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3931797208:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 4.92/6.19 % (2007899)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3620871491:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 4.92/6.19 % Detected minimum model sizes of [3]
% 4.92/6.19 % Detected maximum model sizes of [max]
% 4.92/6.19 % (2007899)Cannot represent all propositional literals internally
% 4.92/6.19 % (2007899)Refutation not found, incomplete strategy
% 4.92/6.19 % (2007899)------------------------------
% 4.92/6.19 % (2007899)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.92/6.19 % (2007899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/6.19 % (2007899)CaDiCaL version: 2.1.3
% 4.92/6.19 % (2007899)Termination reason: Refutation not found, incomplete strategy
% 4.92/6.19 % (2007899)Time elapsed: 0.026 s
% 4.92/6.19 % (2007899)Peak memory usage: 11 MB
% 4.92/6.19 % (2007899)Instructions burned: 54 (million)
% 4.92/6.19 % (2007899)------------------------------
% 4.92/6.19 % (2007899)------------------------------
% 4.92/6.19 % (2007904)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1126173398:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 4.92/6.19 % (2007904)Cannot represent all propositional literals internally
% 4.92/6.19 % (2007904)Refutation not found, incomplete strategy
% 4.92/6.19 % (2007904)------------------------------
% 4.92/6.19 % (2007904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.92/6.19 % (2007904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/6.19 % (2007904)CaDiCaL version: 2.1.3
% 4.92/6.19 % (2007904)Termination reason: Refutation not found, incomplete strategy
% 4.92/6.19 % (2007904)Time elapsed: 0.026 s
% 4.92/6.19 % (2007904)Peak memory usage: 12 MB
% 4.92/6.19 % (2007904)Instructions burned: 54 (million)
% 4.92/6.19 % (2007895)Instruction limit reached!
% 4.92/6.19 % (2007895)------------------------------
% 4.92/6.19 % (2007895)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.92/6.19 % (2007895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/6.19 % (2007895)CaDiCaL version: 2.1.3
% 4.92/6.19 % (2007895)Termination reason: Instruction limit
% 4.92/6.19 % (2007895)Termination phase: Saturation
% 4.92/6.19 % (2007895)Time elapsed: 0.096 s
% 4.92/6.19 % (2007895)Peak memory usage: 14 MB
% 4.92/6.19 % (2007895)Instructions burned: 180 (million)
% 5.54/6.39 % (2007904)------------------------------
% 5.54/6.39 % (2007904)------------------------------
% 5.54/6.39 % (2007907)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=352452346:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 5.54/6.39 % (2007906)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2093725839:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 5.54/6.39 % (2007896)Instruction limit reached!
% 5.54/6.39 % (2007896)------------------------------
% 5.54/6.39 % (2007896)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.54/6.39 % (2007896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/6.39 % (2007896)CaDiCaL version: 2.1.3
% 5.54/6.39 % (2007896)Termination reason: Instruction limit
% 5.54/6.39 % (2007896)Termination phase: Saturation
% 5.54/6.39 % (2007896)Time elapsed: 0.317 s
% 5.54/6.39 % (2007896)Peak memory usage: 15 MB
% 5.54/6.39 % (2007896)Instructions burned: 479 (million)
% 5.54/6.39 % (2007910)fmb+10_1_sil=64000:random_seed=2547247285:i=22061:nm=2:gsp=on_2995 on theBenchmark for (2995ds/22061Mi)
% 5.54/6.39 % (2007901)Instruction limit reached!
% 5.54/6.39 % (2007901)------------------------------
% 5.54/6.39 % (2007901)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.54/6.39 % (2007901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/6.39 % (2007901)CaDiCaL version: 2.1.3
% 5.54/6.39 % (2007901)Termination reason: Instruction limit
% 5.54/6.39 % (2007901)Termination phase: Saturation
% 5.54/6.39 % (2007901)Time elapsed: 0.334 s
% 5.54/6.39 % (2007901)Peak memory usage: 21 MB
% 5.54/6.39 % (2007901)Instructions burned: 1180 (million)
% 5.54/6.39 % (2007894)Instruction limit reached!
% 5.54/6.39 % (2007894)------------------------------
% 5.54/6.39 % (2007894)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.54/6.39 % (2007894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/6.39 % (2007894)CaDiCaL version: 2.1.3
% 5.54/6.39 % (2007894)Termination reason: Instruction limit
% 5.54/6.39 % (2007894)Termination phase: Saturation
% 5.54/6.39 % (2007894)Time elapsed: 0.360 s
% 5.54/6.39 % (2007894)Peak memory usage: 21 MB
% 5.54/6.39 % (2007894)Instructions burned: 686 (million)
% 5.54/6.39 % (2007912)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4111479014:i=9515:nm=5_2995 on theBenchmark for (2995ds/9515Mi)
% 5.54/6.39 % Detected minimum model sizes of [3]
% 5.54/6.39 % Detected maximum model sizes of [max]
% 5.54/6.39 % (2007910)Cannot represent all propositional literals internally
% 5.54/6.39 % (2007910)Refutation not found, incomplete strategy
% 5.54/6.39 % (2007910)------------------------------
% 5.54/6.39 % (2007910)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.54/6.39 % (2007910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/6.39 % (2007910)CaDiCaL version: 2.1.3
% 5.54/6.39 % (2007910)Termination reason: Refutation not found, incomplete strategy
% 5.54/6.39 % (2007910)Time elapsed: 0.026 s
% 5.54/6.39 % (2007910)Peak memory usage: 12 MB
% 5.54/6.39 % (2007910)Instructions burned: 51 (million)
% 5.54/6.39 % (2007910)------------------------------
% 5.54/6.39 % (2007910)------------------------------
% 5.54/6.39 % (2007913)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2136319589:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 5.54/6.39 % Detected minimum model sizes of [3]
% 5.54/6.39 % Detected maximum model sizes of [max]
% 5.54/6.39 % (2007912)Cannot represent all propositional literals internally
% 5.54/6.39 % (2007912)Refutation not found, incomplete strategy
% 5.54/6.39 % (2007912)------------------------------
% 5.54/6.39 % (2007912)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.54/6.39 % (2007912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/6.39 % (2007912)CaDiCaL version: 2.1.3
% 5.54/6.39 % (2007912)Termination reason: Refutation not found, incomplete strategy
% 5.54/6.39 % (2007912)Time elapsed: 0.014 s
% 5.54/6.39 % (2007912)Peak memory usage: 12 MB
% 5.54/6.39 % (2007912)Instructions burned: 54 (million)
% 5.54/6.39 % (2007912)------------------------------
% 5.54/6.39 % (2007912)------------------------------
% 5.54/6.39 % (2007917)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3703444293:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 5.54/6.39 % (2007915)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3700438526:i=5131_2995 on theBenchmark for (2995ds/5131Mi)
% 5.54/6.39 % Detected minimum model sizes of [3]
% 5.54/6.39 % Detected maximum model sizes of [max]
% 5.54/6.39 % (2007913)Cannot represent all propositional literals internally
% 5.54/6.39 % (2007913)Refutation not found, incomplete strategy
% 5.54/6.39 % (2007913)------------------------------
% 5.54/6.39 % (2007913)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.54/6.39 % (2007913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/6.39 % (2007913)CaDiCaL version: 2.1.3
% 5.54/6.39 % (2007913)Termination reason: Refutation not found, incomplete strategy
% 5.54/6.39 % (2007913)Time elapsed: 0.026 s
% 5.54/6.39 % (2007913)Peak memory usage: 12 MB
% 5.54/6.39 % (2007913)Instructions burned: 54 (million)
% 5.54/6.39 % (2007913)------------------------------
% 5.54/6.39 % (2007913)------------------------------
% 5.54/6.39 % (2007920)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=4134658657:i=6324_2994 on theBenchmark for (2994ds/6324Mi)
% 5.54/6.39 % Detected minimum model sizes of [3]
% 5.54/6.39 % Detected maximum model sizes of [max]
% 5.54/6.39 % (2007920)Cannot represent all propositional literals internally
% 5.54/6.39 % (2007920)Refutation not found, incomplete strategy
% 5.54/6.39 % (2007920)------------------------------
% 5.54/6.39 % (2007920)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.54/6.39 % (2007920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/6.39 % (2007920)CaDiCaL version: 2.1.3
% 5.54/6.39 % (2007920)Termination reason: Refutation not found, incomplete strategy
% 5.54/6.39 % (2007920)Time elapsed: 0.032 s
% 5.54/6.39 % (2007920)Peak memory usage: 12 MB
% 5.54/6.39 % (2007920)Instructions burned: 66 (million)
% 5.54/6.39 % (2007920)------------------------------
% 5.54/6.39 % (2007920)------------------------------
% 5.54/6.39 % (2007922)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=4254648676:fmbsr=2.30978:i=2174_2994 on theBenchmark for (2994ds/2174Mi)
% 5.54/6.39 % Detected minimum model sizes of [3]
% 5.54/6.39 % Detected maximum model sizes of [max]
% 5.54/6.39 % (2007922)Cannot represent all propositional literals internally
% 5.54/6.39 % (2007922)Refutation not found, incomplete strategy
% 5.54/6.39 % (2007922)------------------------------
% 5.54/6.39 % (2007922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.54/6.39 % (2007922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/6.39 % (2007922)CaDiCaL version: 2.1.3
% 5.54/6.39 % (2007922)Termination reason: Refutation not found, incomplete strategy
% 5.54/6.39 % (2007922)Time elapsed: 0.026 s
% 5.54/6.39 % (2007922)Peak memory usage: 12 MB
% 5.54/6.39 % (2007922)Instructions burned: 56 (million)
% 5.54/6.39 % (2007922)------------------------------
% 5.54/6.39 % (2007922)------------------------------
% 5.54/6.39 % (2007906)Instruction limit reached!
% 5.54/6.39 % (2007906)------------------------------
% 5.54/6.39 % (2007906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.54/6.39 % (2007906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/6.39 % (2007906)CaDiCaL version: 2.1.3
% 5.54/6.39 % (2007906)Termination reason: Instruction limit
% 5.54/6.39 % (2007906)Termination phase: Saturation
% 5.54/6.39 % (2007906)Time elapsed: 0.393 s
% 5.54/6.39 % (2007906)Peak memory usage: 21 MB
% 5.54/6.39 % (2007906)Instructions burned: 693 (million)
% 5.54/6.39 % (2007924)ott-2_1_sil=16000:newcnf=on:random_seed=1431096223:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2993 on theBenchmark for (2993ds/869Mi)
% 5.54/6.39 % (2007925)ott+10_1_sil=32000:tgt=ground:random_seed=3467272514:i=5114:av=off_2993 on theBenchmark for (2993ds/5114Mi)
% 5.54/6.39 % (2007907)Instruction limit reached!
% 5.54/6.39 % (2007907)------------------------------
% 5.54/6.39 % (2007907)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.54/6.39 % (2007907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/6.39 % (2007907)CaDiCaL version: 2.1.3
% 5.54/6.39 % (2007907)Termination reason: Instruction limit
% 5.54/6.39 % (2007907)Termination phase: Saturation
% 5.54/6.39 % (2007907)Time elapsed: 0.474 s
% 5.54/6.39 % (2007907)Peak memory usage: 20 MB
% 5.54/6.39 % (2007907)Instructions burned: 879 (million)
% 5.54/6.39 % (2007928)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3408264265:i=54282_2992 on theBenchmark for (2992ds/54282Mi)
% 5.54/6.39 % Detected minimum model sizes of [3]
% 5.54/6.39 % Detected maximum model sizes of [max]
% 5.54/6.39 % (2007928)Cannot represent all propositional literals internally
% 5.54/6.39 % (2007928)Refutation not found, incomplete strategy
% 5.54/6.39 % (2007928)------------------------------
% 5.54/6.39 % (2007928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.54/6.39 % (2007928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/6.39 % (2007928)CaDiCaL version: 2.1.3
% 5.54/6.39 % (2007928)Termination reason: Refutation not found, incomplete strategy
% 5.54/6.39 % (2007928)Time elapsed: 0.032 s
% 5.54/6.39 % (2007928)Peak memory usage: 12 MB
% 5.54/6.39 % (2007928)Instructions burned: 66 (million)
% 5.54/6.39 % (2007928)------------------------------
% 5.54/6.39 % (2007928)------------------------------
% 5.54/6.39 % (2007930)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3402567541:i=3512:aac=none_2992 on theBenchmark for (2992ds/3512Mi)
% 5.54/6.39 % (2007915) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2007871-2007915"...
% 5.54/6.39 % (2007915)...printing done.
% 5.54/6.39 % (2007915)Refutation found. Thanks to Tanya!
% 5.54/6.39 % SZS status Theorem for theBenchmark
% 5.54/6.39 % SZS output start Proof for theBenchmark
% See solution above
% 5.54/6.39 % (2007915)------------------------------
% 5.54/6.39 % (2007915)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.54/6.39 % (2007915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/6.39 % (2007915)CaDiCaL version: 2.1.3
% 5.54/6.39 % (2007915)Termination reason: Refutation
% 5.54/6.39 % (2007915)Time elapsed: 0.447 s
% 5.54/6.39 % (2007915)Peak memory usage: 19 MB
% 5.54/6.39 % (2007915)Instructions burned: 1517 (million)
% 5.54/6.39 % (2007871)Success in time 0.963 s
% 5.54/6.39 % Vampire exiting
%------------------------------------------------------------------------------