%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO278+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 : n017.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 0.14s 1.60s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 36 ( 9 unt; 0 def)
% Number of atoms : 180 ( 55 equ)
% Maximal formula atoms : 10 ( 5 avg)
% Number of connectives : 261 ( 117 ~; 108 |; 29 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 95 ( 91 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ron(vd1096,X0)
& rcenter(vd1089,X0)
& rcircle(X0) )
=> X0 = vd1102 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(theu(the(231), 1), imp(the(231)))') ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ron(vd1096,X0)
& rcenter(vd1089,X0)
& rcircle(X0) )
=> X0 = vd1102 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
( ron(vd1096,vd1102)
& rcenter(vd1089,vd1102)
& rcircle(vd1102) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(pred(comma_conjunct2(the(231)), 0), and(pred(comma_conjunct1(the(231)), 0), pred(the(231), 0)))') ).
fof(f8,axiom,
rpoint(vd1096),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(229, 0)') ).
fof(f41,axiom,
! [X0,X1,X2,X3,X4] :
( ( vf(X2,X0) = vf(X2,X1)
& ron(X1,X4)
& ron(X0,X3)
& rcenter(X2,X4)
& rcenter(X2,X3)
& ? [X5] :
( X1 = X5
& rpoint(X5) )
& ? [X6] :
( X0 = X6
& rpoint(X6) ) )
=> X3 = X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(182), 0), imp(cond(axiom(182), 0)))') ).
fof(f115,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( ron(X4,X3)
& X4 = X5
& rpoint(X5)
& rcenter(X2,X3)
& X0 = X1
& rpoint(X1) )
=> ( vf(X2,X0) = vf(X2,X4)
<=> ron(X0,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(184), 0), imp(cond(axiom(184), 0)))') ).
fof(f136,plain,
? [X0] :
( vd1102 != X0
& ron(vd1096,X0)
& rcenter(vd1089,X0)
& rcircle(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f137,plain,
? [X0] :
( vd1102 != X0
& ron(vd1096,X0)
& rcenter(vd1089,X0)
& rcircle(X0) ),
inference(flattening,[],[f136]) ).
fof(f172,plain,
! [X0,X1,X2,X3,X4] :
( X3 = X4
| vf(X2,X0) != vf(X2,X1)
| ~ ron(X1,X4)
| ~ ron(X0,X3)
| ~ rcenter(X2,X4)
| ~ rcenter(X2,X3)
| ! [X5] :
( X1 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X0 != X6
| ~ rpoint(X6) ) ),
inference(ennf_transformation,[],[f41]) ).
fof(f173,plain,
! [X0,X1,X2,X3,X4] :
( X3 = X4
| vf(X2,X0) != vf(X2,X1)
| ~ ron(X1,X4)
| ~ ron(X0,X3)
| ~ rcenter(X2,X4)
| ~ rcenter(X2,X3)
| ! [X5] :
( X1 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X0 != X6
| ~ rpoint(X6) ) ),
inference(flattening,[],[f172]) ).
fof(f308,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( vf(X2,X0) = vf(X2,X4)
<=> ron(X0,X3) )
| ~ ron(X4,X3)
| X4 != X5
| ~ rpoint(X5)
| ~ rcenter(X2,X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(ennf_transformation,[],[f115]) ).
fof(f309,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( vf(X2,X0) = vf(X2,X4)
<=> ron(X0,X3) )
| ~ ron(X4,X3)
| X4 != X5
| ~ rpoint(X5)
| ~ rcenter(X2,X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(flattening,[],[f308]) ).
fof(f408,plain,
( vd1102 != sK36
& ron(vd1096,sK36)
& rcenter(vd1089,sK36)
& rcircle(sK36) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK36]),skolemize(X0,sK36)],[f137]) ).
fof(f518,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ( vf(X2,X0) = vf(X2,X4)
| ~ ron(X0,X3) )
& ( ron(X0,X3)
| vf(X2,X0) != vf(X2,X4) ) )
| ~ ron(X4,X3)
| X4 != X5
| ~ rpoint(X5)
| ~ rcenter(X2,X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(nnf_transformation,[],[f309]) ).
fof(f537,plain,
rcenter(vd1089,sK36),
inference(cnf_transformation,[],[f408]) ).
fof(f538,plain,
ron(vd1096,sK36),
inference(cnf_transformation,[],[f408]) ).
fof(f539,plain,
vd1102 != sK36,
inference(cnf_transformation,[],[f408]) ).
fof(f541,plain,
rcenter(vd1089,vd1102),
inference(cnf_transformation,[],[f3]) ).
fof(f542,plain,
ron(vd1096,vd1102),
inference(cnf_transformation,[],[f3]) ).
fof(f549,plain,
rpoint(vd1096),
inference(cnf_transformation,[],[f8]) ).
fof(f622,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( X3 = X4
| vf(X2,X0) != vf(X2,X1)
| ~ ron(X1,X4)
| ~ ron(X0,X3)
| ~ rcenter(X2,X4)
| ~ rcenter(X2,X3)
| X1 != X5
| ~ rpoint(X5)
| X0 != X6
| ~ rpoint(X6) ),
inference(cnf_transformation,[],[f173]) ).
fof(f804,plain,
! [X2,X3,X0,X1,X4,X5] :
( vf(X2,X0) = vf(X2,X4)
| ~ ron(X0,X3)
| ~ ron(X4,X3)
| X4 != X5
| ~ rpoint(X5)
| ~ rcenter(X2,X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(cnf_transformation,[],[f518]) ).
fof(f932,plain,
! [X2,X3,X0,X6,X4,X5] :
( X3 = X4
| vf(X2,X0) != vf(X2,X5)
| ~ ron(X5,X4)
| ~ ron(X0,X3)
| ~ rcenter(X2,X4)
| ~ rcenter(X2,X3)
| ~ rpoint(X5)
| X0 != X6
| ~ rpoint(X6) ),
inference(equality_resolution,[],[f622]) ).
fof(f933,plain,
! [X2,X3,X6,X4,X5] :
( ~ rcenter(X2,X3)
| vf(X2,X5) != vf(X2,X6)
| ~ ron(X5,X4)
| ~ ron(X6,X3)
| ~ rcenter(X2,X4)
| X3 = X4
| ~ rpoint(X5)
| ~ rpoint(X6) ),
inference(equality_resolution,[],[f932]) ).
fof(f1180,plain,
! [X2,X3,X0,X1,X5] :
( vf(X2,X0) = vf(X2,X5)
| ~ ron(X0,X3)
| ~ ron(X5,X3)
| ~ rpoint(X5)
| ~ rcenter(X2,X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f804]) ).
fof(f1181,plain,
! [X2,X3,X1,X5] :
( ~ rcenter(X2,X3)
| ~ ron(X1,X3)
| ~ ron(X5,X3)
| ~ rpoint(X5)
| vf(X2,X1) = vf(X2,X5)
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f1180]) ).
fof(f1361,plain,
! [X0,X1] :
( ~ ron(X0,sK36)
| ~ ron(X1,sK36)
| ~ rpoint(X1)
| vf(vd1089,X0) = vf(vd1089,X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f1181,f537]) ).
fof(f1364,plain,
! [X0] :
( ~ ron(X0,sK36)
| ~ rpoint(X0)
| vf(vd1089,X0) = vf(vd1089,vd1096)
| ~ rpoint(vd1096) ),
inference(resolution,[],[f1361,f538]) ).
fof(f1380,plain,
! [X0] :
( ~ ron(X0,sK36)
| ~ rpoint(X0)
| vf(vd1089,X0) = vf(vd1089,vd1096) ),
inference(global_subsumption,[],[f1364,f549]) ).
fof(f1599,plain,
! [X2,X0,X1] :
( ~ rcenter(vd1089,X2)
| ~ ron(X0,X2)
| ~ ron(X1,sK36)
| vf(vd1089,X0) != vf(vd1089,X1)
| sK36 = X2
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(resolution,[],[f933,f537]) ).
fof(f1611,plain,
! [X0,X1] :
( ~ ron(X0,vd1102)
| ~ ron(X1,sK36)
| vf(vd1089,X0) != vf(vd1089,X1)
| vd1102 = sK36
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(resolution,[],[f1599,f541]) ).
fof(f1612,plain,
! [X0,X1] :
( ~ ron(X0,vd1102)
| ~ ron(X1,sK36)
| vf(vd1089,X0) != vf(vd1089,X1)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(global_subsumption,[],[f1611,f539]) ).
fof(f1615,plain,
! [X0] :
( ~ ron(X0,sK36)
| vf(vd1089,X0) != vf(vd1089,vd1096)
| ~ rpoint(vd1096)
| ~ rpoint(X0) ),
inference(resolution,[],[f1612,f542]) ).
fof(f1632,plain,
! [X0] :
( ~ ron(X0,sK36)
| ~ rpoint(X0) ),
inference(global_subsumption,[],[f1615,f1380,f549]) ).
fof(f1645,plain,
~ rpoint(vd1096),
inference(resolution,[],[f1632,f538]) ).
fof(f1651,plain,
$false,
inference(global_subsumption,[],[f1645,f549]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO278+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 % Computer : n017.cluster.edu
% 0.10/0.40 % Model : x86_64 x86_64
% 0.10/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.40 % Memory : 8046.5625MB
% 0.10/0.40 % OS : Linux 6.8.0-71-generic
% 0.10/0.40 % CPULimit : 300
% 0.10/0.40 % WCLimit : 300
% 0.10/0.40 % DateTime : Sun Sep 27 07:54:20 UTC 2026
% 0.10/0.40 % CPUTime :
% 0.10/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.43 Running first-order model finding
% 0.10/0.43 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
% 2.01/0.96 % (2223467)Will run a generic schedule for satisfiability detection.
% 2.01/0.96 % (2223478)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=270457937:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.01/0.96 % (2223473)% WARNING: option uhcvi not known.
% 2.01/0.96 % (2223474)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1470723095:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.01/0.96 % (2223472)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1017704079_2999 on theBenchmark for (2999ds/0Mi)
% 2.01/0.96 % (2223473)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4076807736:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.01/0.96 % (2223475)dis+10_1_sil=32000:sp=arity:random_seed=1267617499:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.01/0.96 % (2223476)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1613272434:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.01/0.96 % (2223477)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3798103135:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.01/0.96 % Detected minimum model sizes of [3]
% 2.01/0.96 % Detected maximum model sizes of [max]
% 2.01/0.96 % (2223472)Cannot represent all propositional literals internally
% 2.01/0.96 % (2223472)Refutation not found, incomplete strategy
% 2.01/0.96 % (2223472)------------------------------
% 2.01/0.96 % (2223472)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.01/0.96 % (2223472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.01/0.96 % (2223472)CaDiCaL version: 2.1.3
% 2.01/0.96 % (2223472)Termination reason: Refutation not found, incomplete strategy
% 2.01/0.96 % (2223472)Time elapsed: 0.032 s
% 2.01/0.96 % (2223472)Peak memory usage: 12 MB
% 2.01/0.96 % (2223472)Instructions burned: 67 (million)
% 2.01/0.96 % (2223472)------------------------------
% 2.01/0.96 % (2223472)------------------------------
% 2.01/0.96 % (2223478)Instruction limit reached!
% 2.01/0.96 % (2223478)------------------------------
% 2.01/0.96 % (2223478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.01/0.96 % (2223478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.01/0.96 % (2223478)CaDiCaL version: 2.1.3
% 2.01/0.96 % (2223478)Termination reason: Instruction limit
% 2.01/0.96 % (2223478)Termination phase: Saturation
% 2.01/0.96 % (2223478)Time elapsed: 0.059 s
% 2.01/0.96 % (2223478)Peak memory usage: 15 MB
% 2.01/0.96 % (2223478)Instructions burned: 170 (million)
% 2.01/0.96 % (2223486)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=664113211:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.01/0.96 % (2223476)Instruction limit reached!
% 2.01/0.96 % (2223476)------------------------------
% 2.01/0.96 % (2223476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.01/0.96 % (2223476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.01/0.96 % (2223476)CaDiCaL version: 2.1.3
% 2.01/0.96 % (2223476)Termination reason: Instruction limit
% 2.01/0.96 % (2223476)Termination phase: Saturation
% 2.01/0.96 % (2223476)Time elapsed: 0.058 s
% 2.01/0.96 % (2223476)Peak memory usage: 13 MB
% 2.01/0.96 % (2223476)Instructions burned: 116 (million)
% 2.01/0.96 % (2223475)Instruction limit reached!
% 2.01/0.96 % (2223475)------------------------------
% 2.01/0.96 % (2223475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.01/0.96 % (2223475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.01/0.96 % (2223475)CaDiCaL version: 2.1.3
% 2.01/0.96 % (2223475)Termination reason: Instruction limit
% 2.01/0.96 % (2223475)Termination phase: Saturation
% 2.01/0.96 % (2223475)Time elapsed: 0.059 s
% 2.01/0.96 % (2223475)Peak memory usage: 13 MB
% 2.01/0.96 % (2223475)Instructions burned: 104 (million)
% 2.01/0.96 % (2223487)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=417814669:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 2.01/0.96 % (2223477)Instruction limit reached!
% 2.01/0.96 % (2223477)------------------------------
% 2.01/0.96 % (2223477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.01/0.96 % (2223477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.01/0.96 % (2223477)CaDiCaL version: 2.1.3
% 2.01/0.96 % (2223477)Termination reason: Instruction limit
% 2.01/0.96 % (2223477)Termination phase: Saturation
% 2.01/0.96 % (2223477)Time elapsed: 0.064 s
% 4.61/1.19 % (2223477)Peak memory usage: 13 MB
% 4.61/1.19 % (2223477)Instructions burned: 131 (million)
% 4.61/1.19 % (2223489)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=4149127818:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 4.61/1.19 % (2223490)ott-21_1_sil=16000:fs=off:random_seed=3681853438:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 4.61/1.19 % Detected minimum model sizes of [3]
% 4.61/1.19 % Detected maximum model sizes of [max]
% 4.61/1.19 % (2223486)Cannot represent all propositional literals internally
% 4.61/1.19 % (2223486)Refutation not found, incomplete strategy
% 4.61/1.19 % (2223486)------------------------------
% 4.61/1.19 % (2223486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.61/1.19 % (2223486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.19 % (2223486)CaDiCaL version: 2.1.3
% 4.61/1.19 % (2223486)Termination reason: Refutation not found, incomplete strategy
% 4.61/1.19 % (2223486)Time elapsed: 0.027 s
% 4.61/1.19 % (2223486)Peak memory usage: 12 MB
% 4.61/1.19 % (2223486)Instructions burned: 53 (million)
% 4.61/1.19 % (2223486)------------------------------
% 4.61/1.19 % (2223486)------------------------------
% 4.61/1.19 % (2223492)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1518259112:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 4.61/1.19 % (2223487)Instruction limit reached!
% 4.61/1.19 % (2223487)------------------------------
% 4.61/1.19 % (2223487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.61/1.19 % (2223487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.19 % (2223487)CaDiCaL version: 2.1.3
% 4.61/1.19 % (2223487)Termination reason: Instruction limit
% 4.61/1.19 % (2223487)Termination phase: Saturation
% 4.61/1.19 % (2223487)Time elapsed: 0.031 s
% 4.61/1.19 % (2223487)Peak memory usage: 13 MB
% 4.61/1.19 % (2223487)Instructions burned: 135 (million)
% 4.61/1.19 % (2223495)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=29352172:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 4.61/1.19 % (2223497)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2469733123:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 4.61/1.19 % Detected minimum model sizes of [3]
% 4.61/1.19 % Detected maximum model sizes of [max]
% 4.61/1.19 % (2223495)Cannot represent all propositional literals internally
% 4.61/1.19 % (2223495)Refutation not found, incomplete strategy
% 4.61/1.19 % (2223495)------------------------------
% 4.61/1.19 % (2223495)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.61/1.19 % (2223495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.19 % (2223495)CaDiCaL version: 2.1.3
% 4.61/1.19 % (2223495)Termination reason: Refutation not found, incomplete strategy
% 4.61/1.19 % (2223495)Time elapsed: 0.026 s
% 4.61/1.19 % (2223495)Peak memory usage: 11 MB
% 4.61/1.19 % (2223495)Instructions burned: 55 (million)
% 4.61/1.19 % (2223495)------------------------------
% 4.61/1.19 % (2223495)------------------------------
% 4.61/1.19 % (2223500)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1905760564:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 4.61/1.19 % (2223490)Instruction limit reached!
% 4.61/1.19 % (2223490)------------------------------
% 4.61/1.19 % (2223490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.61/1.19 % (2223500)Cannot represent all propositional literals internally
% 4.61/1.19 % (2223500)Refutation not found, incomplete strategy
% 4.61/1.19 % (2223500)------------------------------
% 4.61/1.19 % (2223500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.61/1.19 % (2223490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.19 % (2223500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.19 % (2223490)CaDiCaL version: 2.1.3
% 4.61/1.19 % (2223500)CaDiCaL version: 2.1.3
% 4.61/1.19 % (2223490)Termination reason: Instruction limit
% 4.61/1.19 % (2223490)Termination phase: Saturation
% 4.61/1.19 % (2223490)Time elapsed: 0.095 s
% 4.61/1.19 % (2223500)Termination reason: Refutation not found, incomplete strategy
% 4.61/1.19 % (2223500)Time elapsed: 0.025 s
% 4.61/1.19 % (2223490)Peak memory usage: 14 MB
% 4.61/1.19 % (2223500)Peak memory usage: 12 MB
% 4.61/1.19 % (2223490)Instructions burned: 181 (million)
% 4.61/1.19 % (2223500)Instructions burned: 54 (million)
% 6.43/1.60 % (2223500)------------------------------
% 6.43/1.60 % (2223500)------------------------------
% 6.43/1.60 % (2223502)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=1691804453: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)
% 6.43/1.60 % (2223503)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=443359764:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 6.43/1.60 % (2223492)Instruction limit reached!
% 6.43/1.60 % (2223492)------------------------------
% 6.43/1.60 % (2223492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.43/1.60 % (2223492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/1.60 % (2223492)CaDiCaL version: 2.1.3
% 6.43/1.60 % (2223492)Termination reason: Instruction limit
% 6.43/1.60 % (2223492)Termination phase: Saturation
% 6.43/1.60 % (2223492)Time elapsed: 0.311 s
% 6.43/1.60 % (2223492)Peak memory usage: 15 MB
% 6.43/1.60 % (2223492)Instructions burned: 478 (million)
% 6.43/1.60 % (2223506)fmb+10_1_sil=64000:random_seed=2277763546:i=22061:nm=2:gsp=on_2995 on theBenchmark for (2995ds/22061Mi)
% 6.43/1.60 % Detected minimum model sizes of [3]
% 6.43/1.60 % Detected maximum model sizes of [max]
% 6.43/1.60 % (2223506)Cannot represent all propositional literals internally
% 6.43/1.60 % (2223506)Refutation not found, incomplete strategy
% 6.43/1.60 % (2223506)------------------------------
% 6.43/1.60 % (2223506)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.43/1.60 % (2223506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/1.60 % (2223506)CaDiCaL version: 2.1.3
% 6.43/1.60 % (2223506)Termination reason: Refutation not found, incomplete strategy
% 6.43/1.60 % (2223506)Time elapsed: 0.025 s
% 6.43/1.60 % (2223506)Peak memory usage: 12 MB
% 6.43/1.60 % (2223506)Instructions burned: 51 (million)
% 6.43/1.60 % (2223506)------------------------------
% 6.43/1.60 % (2223506)------------------------------
% 6.43/1.60 % (2223497)Instruction limit reached!
% 6.43/1.60 % (2223497)------------------------------
% 6.43/1.60 % (2223497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.43/1.60 % (2223497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/1.60 % (2223497)CaDiCaL version: 2.1.3
% 6.43/1.60 % (2223497)Termination reason: Instruction limit
% 6.43/1.60 % (2223497)Termination phase: Saturation
% 6.43/1.60 % (2223497)Time elapsed: 0.341 s
% 6.43/1.60 % (2223497)Peak memory usage: 25 MB
% 6.43/1.60 % (2223497)Instructions burned: 1182 (million)
% 6.43/1.60 % (2223509)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1344148942:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 6.43/1.60 % (2223508)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3802160461:i=9515:nm=5_2995 on theBenchmark for (2995ds/9515Mi)
% 6.43/1.60 % (2223489)Instruction limit reached!
% 6.43/1.60 % (2223489)------------------------------
% 6.43/1.60 % (2223489)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.43/1.60 % (2223489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/1.60 % (2223489)CaDiCaL version: 2.1.3
% 6.43/1.60 % (2223489)Termination reason: Instruction limit
% 6.43/1.60 % (2223489)Termination phase: Saturation
% 6.43/1.60 % (2223489)Time elapsed: 0.385 s
% 6.43/1.60 % (2223489)Peak memory usage: 22 MB
% 6.43/1.60 % (2223489)Instructions burned: 684 (million)
% 6.43/1.60 % Detected minimum model sizes of [3]
% 6.43/1.60 % Detected maximum model sizes of [max]
% 6.43/1.60 % (2223509)Cannot represent all propositional literals internally
% 6.43/1.60 % (2223509)Refutation not found, incomplete strategy
% 6.43/1.60 % (2223509)------------------------------
% 6.43/1.60 % (2223509)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.43/1.60 % (2223509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/1.60 % (2223509)CaDiCaL version: 2.1.3
% 6.43/1.60 % (2223509)Termination reason: Refutation not found, incomplete strategy
% 6.43/1.60 % (2223509)Time elapsed: 0.014 s
% 6.43/1.60 % (2223509)Peak memory usage: 12 MB
% 6.43/1.60 % (2223509)Instructions burned: 54 (million)
% 6.43/1.60 % (2223509)------------------------------
% 6.43/1.60 % (2223509)------------------------------
% 6.43/1.60 % (2223513)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3234259886:i=1472:ins=7:fdi=8:gsp=on_2994 on theBenchmark for (2994ds/1472Mi)
% 6.43/1.60 % (2223512)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3982420835:i=5131_2994 on theBenchmark for (2994ds/5131Mi)
% 6.43/1.60 % Detected minimum model sizes of [3]
% 6.43/1.60 % Detected maximum model sizes of [max]
% 6.43/1.60 % (2223508)Cannot represent all propositional literals internally
% 6.43/1.60 % (2223508)Refutation not found, incomplete strategy
% 6.43/1.60 % (2223508)------------------------------
% 6.43/1.60 % (2223508)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.43/1.60 % (2223508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/1.60 % (2223508)CaDiCaL version: 2.1.3
% 6.43/1.60 % (2223508)Termination reason: Refutation not found, incomplete strategy
% 6.43/1.60 % (2223508)Time elapsed: 0.026 s
% 6.43/1.60 % (2223508)Peak memory usage: 12 MB
% 6.43/1.60 % (2223508)Instructions burned: 54 (million)
% 6.43/1.60 % (2223508)------------------------------
% 6.43/1.60 % (2223508)------------------------------
% 6.43/1.60 % (2223502)Instruction limit reached!
% 6.43/1.60 % (2223502)------------------------------
% 6.43/1.60 % (2223502)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.43/1.60 % (2223502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/1.60 % (2223502)CaDiCaL version: 2.1.3
% 6.43/1.60 % (2223502)Termination reason: Instruction limit
% 6.43/1.60 % (2223502)Termination phase: Saturation
% 6.43/1.60 % (2223502)Time elapsed: 0.301 s
% 6.43/1.60 % (2223502)Peak memory usage: 19 MB
% 6.43/1.60 % (2223502)Instructions burned: 693 (million)
% 6.43/1.60 % (2223516)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3313839826:i=6324_2994 on theBenchmark for (2994ds/6324Mi)
% 6.43/1.60 % (2223517)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1719752609:fmbsr=2.30978:i=2174_2994 on theBenchmark for (2994ds/2174Mi)
% 6.43/1.60 % Detected minimum model sizes of [3]
% 6.43/1.60 % Detected maximum model sizes of [max]
% 6.43/1.60 % (2223517)Cannot represent all propositional literals internally
% 6.43/1.60 % (2223517)Refutation not found, incomplete strategy
% 6.43/1.60 % (2223517)------------------------------
% 6.43/1.60 % (2223517)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.43/1.60 % (2223517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/1.60 % (2223517)CaDiCaL version: 2.1.3
% 6.43/1.60 % (2223517)Termination reason: Refutation not found, incomplete strategy
% 6.43/1.60 % (2223517)Time elapsed: 0.026 s
% 6.43/1.60 % (2223517)Peak memory usage: 12 MB
% 6.43/1.60 % (2223517)Instructions burned: 56 (million)
% 6.43/1.60 % (2223517)------------------------------
% 6.43/1.60 % (2223517)------------------------------
% 6.43/1.60 % Detected minimum model sizes of [3]
% 6.43/1.60 % Detected maximum model sizes of [max]
% 6.43/1.60 % (2223516)Cannot represent all propositional literals internally
% 6.43/1.60 % (2223516)Refutation not found, incomplete strategy
% 6.43/1.60 % (2223516)------------------------------
% 6.43/1.60 % (2223516)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.43/1.60 % (2223516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/1.60 % (2223516)CaDiCaL version: 2.1.3
% 6.43/1.60 % (2223516)Termination reason: Refutation not found, incomplete strategy
% 6.43/1.60 % (2223516)Time elapsed: 0.036 s
% 6.43/1.60 % (2223516)Peak memory usage: 12 MB
% 6.43/1.60 % (2223516)Instructions burned: 66 (million)
% 6.43/1.60 % (2223516)------------------------------
% 6.43/1.60 % (2223516)------------------------------
% 6.43/1.60 % (2223520)ott-2_1_sil=16000:newcnf=on:random_seed=1912846344:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2994 on theBenchmark for (2994ds/869Mi)
% 6.43/1.60 % (2223521)ott+10_1_sil=32000:tgt=ground:random_seed=1017478441:i=5114:av=off_2994 on theBenchmark for (2994ds/5114Mi)
% 6.43/1.60 % (2223503)Instruction limit reached!
% 6.43/1.60 % (2223503)------------------------------
% 6.43/1.60 % (2223503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.43/1.60 % (2223503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/1.60 % (2223503)CaDiCaL version: 2.1.3
% 6.43/1.60 % (2223503)Termination reason: Instruction limit
% 6.43/1.60 % (2223503)Termination phase: Saturation
% 6.43/1.60 % (2223503)Time elapsed: 0.459 s
% 6.43/1.60 % (2223503)Peak memory usage: 20 MB
% 6.43/1.60 % (2223503)Instructions burned: 880 (million)
% 6.43/1.60 % (2223524)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1891557110:i=54282_2993 on theBenchmark for (2993ds/54282Mi)
% 0.14/1.60 % Detected minimum model sizes of [3]
% 0.14/1.60 % Detected maximum model sizes of [max]
% 0.14/1.60 % (2223524)Cannot represent all propositional literals internally
% 0.14/1.60 % (2223524)Refutation not found, incomplete strategy
% 0.14/1.60 % (2223524)------------------------------
% 0.14/1.60 % (2223524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.14/1.60 % (2223524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/1.60 % (2223524)CaDiCaL version: 2.1.3
% 0.14/1.60 % (2223524)Termination reason: Refutation not found, incomplete strategy
% 0.14/1.60 % (2223524)Time elapsed: 0.032 s
% 0.14/1.60 % (2223524)Peak memory usage: 12 MB
% 0.14/1.60 % (2223524)Instructions burned: 66 (million)
% 0.14/1.60 % (2223524)------------------------------
% 0.14/1.60 % (2223524)------------------------------
% 0.14/1.60 % (2223526)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=22161488:i=3512:aac=none_2992 on theBenchmark for (2992ds/3512Mi)
% 0.14/1.60 % (2223513)Instruction limit reached!
% 0.14/1.60 % (2223513)------------------------------
% 0.14/1.60 % (2223513)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.14/1.60 % (2223513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/1.60 % (2223513)CaDiCaL version: 2.1.3
% 0.14/1.60 % (2223513)Termination reason: Instruction limit
% 0.14/1.60 % (2223513)Termination phase: Saturation
% 0.14/1.60 % (2223513)Time elapsed: 0.343 s
% 0.14/1.60 % (2223513)Peak memory usage: 18 MB
% 0.14/1.60 % (2223513)Instructions burned: 1472 (million)
% 0.14/1.60 % (2223528)dis+21_1_sil=32000:sas=cadical:random_seed=829890554:i=3773:amm=off_2991 on theBenchmark for (2991ds/3773Mi)
% 0.14/1.60 % (2223520)Instruction limit reached!
% 0.14/1.60 % (2223520)------------------------------
% 0.14/1.60 % (2223520)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.14/1.60 % (2223520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/1.60 % (2223520)CaDiCaL version: 2.1.3
% 0.14/1.60 % (2223520)Termination reason: Instruction limit
% 0.14/1.60 % (2223520)Termination phase: Saturation
% 0.14/1.60 % (2223520)Time elapsed: 0.410 s
% 0.14/1.60 % (2223520)Peak memory usage: 15 MB
% 0.14/1.60 % (2223520)Instructions burned: 871 (million)
% 0.14/1.60 % (2223530)ott+11_1_sil=16000:gs=on:random_seed=3225995117:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2989 on theBenchmark for (2989ds/2251Mi)
% 0.14/1.60 % (2223530) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2223467-2223530"...
% 0.14/1.60 % (2223530)...printing done.
% 0.14/1.60 % (2223530)Refutation found. Thanks to Tanya!
% 0.14/1.60 % SZS status Theorem for theBenchmark
% 0.14/1.60 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/1.60 % (2223530)------------------------------
% 0.14/1.60 % (2223530)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.14/1.60 % (2223530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/1.60 % (2223530)CaDiCaL version: 2.1.3
% 0.14/1.60 % (2223530)Termination reason: Refutation
% 0.14/1.60 % (2223530)Time elapsed: 0.114 s
% 0.14/1.60 % (2223530)Peak memory usage: 14 MB
% 0.14/1.60 % (2223530)Instructions burned: 274 (million)
% 0.14/1.60 % (2223467)Success in time 1.157 s
% 0.14/1.60 % Vampire exiting
%------------------------------------------------------------------------------