%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWX057+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 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 01:45:46 PM UTC 2026
% Result : Theorem 29.97s 5.02s
% Output : Refutation 29.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 57 ( 17 unt; 2 def)
% Number of atoms : 135 ( 26 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 141 ( 63 ~; 58 |; 12 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 107 ( 97 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f205,axiom,
! [X0,X1] :
( ( list_succeeds(X0)
& list_succeeds(X1) )
=> list_succeeds('**'(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom-(app:types:1)') ).
fof(f274,axiom,
! [X0,X1] :
( permutation_succeeds(X0,X1)
=> ( list_succeeds(X0)
& list_succeeds(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lemma-(permutation:types)') ).
fof(f290,axiom,
! [X0,X1,X2] :
( ( list_succeeds(X1)
& list_succeeds(X2) )
=> occ(X0,'**'(X1,X2)) = '@+'(occ(X0,X1),occ(X0,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lemma-(occ:app)') ).
fof(f293,axiom,
! [X0,X1] :
( permutation_succeeds(X0,X1)
=> ! [X2] : occ(X2,X0) = occ(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem-(permutation:occ)') ).
fof(f298,axiom,
! [X0,X1] :
( ( list_succeeds(X1)
& list_succeeds(X0)
& ! [X2] : occ(X2,X0) = occ(X2,X1) )
=> permutation_succeeds(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem-(occ:permutation)') ).
fof(f303,axiom,
! [X0,X1] :
( permutation_succeeds(X0,X1)
=> permutation_succeeds(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem-(permutation:symmetric)') ).
fof(f306,conjecture,
! [X0,X1,X2,X3] :
( ( permutation_succeeds(X0,X2)
& permutation_succeeds(X1,X3) )
=> permutation_succeeds('**'(X0,X1),'**'(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem-(permutation:app)') ).
fof(f307,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( permutation_succeeds(X0,X2)
& permutation_succeeds(X1,X3) )
=> permutation_succeeds('**'(X0,X1),'**'(X2,X3)) ),
inference(negated_conjecture,[status(cth)],[f306]) ).
fof(f532,plain,
! [X0,X1] :
( list_succeeds('**'(X0,X1))
| ~ list_succeeds(X0)
| ~ list_succeeds(X1) ),
inference(ennf_transformation,[],[f205]) ).
fof(f533,plain,
! [X0,X1] :
( list_succeeds('**'(X0,X1))
| ~ list_succeeds(X0)
| ~ list_succeeds(X1) ),
inference(flattening,[],[f532]) ).
fof(f635,plain,
! [X0,X1] :
( ( list_succeeds(X0)
& list_succeeds(X1) )
| ~ permutation_succeeds(X0,X1) ),
inference(ennf_transformation,[],[f274]) ).
fof(f658,plain,
! [X0,X1,X2] :
( occ(X0,'**'(X1,X2)) = '@+'(occ(X0,X1),occ(X0,X2))
| ~ list_succeeds(X1)
| ~ list_succeeds(X2) ),
inference(ennf_transformation,[],[f290]) ).
fof(f659,plain,
! [X0,X1,X2] :
( occ(X0,'**'(X1,X2)) = '@+'(occ(X0,X1),occ(X0,X2))
| ~ list_succeeds(X1)
| ~ list_succeeds(X2) ),
inference(flattening,[],[f658]) ).
fof(f664,plain,
! [X0,X1] :
( ! [X2] : occ(X2,X0) = occ(X2,X1)
| ~ permutation_succeeds(X0,X1) ),
inference(ennf_transformation,[],[f293]) ).
fof(f673,plain,
! [X0,X1] :
( permutation_succeeds(X0,X1)
| ~ list_succeeds(X1)
| ~ list_succeeds(X0)
| ? [X2] : occ(X2,X0) != occ(X2,X1) ),
inference(ennf_transformation,[],[f298]) ).
fof(f674,plain,
! [X0,X1] :
( permutation_succeeds(X0,X1)
| ~ list_succeeds(X1)
| ~ list_succeeds(X0)
| ? [X2] : occ(X2,X0) != occ(X2,X1) ),
inference(flattening,[],[f673]) ).
fof(f682,plain,
! [X0,X1] :
( permutation_succeeds(X1,X0)
| ~ permutation_succeeds(X0,X1) ),
inference(ennf_transformation,[],[f303]) ).
fof(f686,plain,
? [X0,X1,X2,X3] :
( ~ permutation_succeeds('**'(X0,X1),'**'(X2,X3))
& permutation_succeeds(X0,X2)
& permutation_succeeds(X1,X3) ),
inference(ennf_transformation,[],[f307]) ).
fof(f687,plain,
? [X0,X1,X2,X3] :
( ~ permutation_succeeds('**'(X0,X1),'**'(X2,X3))
& permutation_succeeds(X0,X2)
& permutation_succeeds(X1,X3) ),
inference(flattening,[],[f686]) ).
fof(f1171,plain,
! [X0,X1] :
( list_succeeds('**'(X0,X1))
| ~ list_succeeds(X0)
| ~ list_succeeds(X1) ),
inference(cnf_transformation,[],[f533]) ).
fof(f1253,plain,
! [X0,X1] :
( ~ permutation_succeeds(X0,X1)
| list_succeeds(X1) ),
inference(cnf_transformation,[],[f635]) ).
fof(f1254,plain,
! [X0,X1] :
( ~ permutation_succeeds(X0,X1)
| list_succeeds(X0) ),
inference(cnf_transformation,[],[f635]) ).
fof(f1271,plain,
! [X2,X0,X1] :
( occ(X0,'**'(X1,X2)) = '@+'(occ(X0,X1),occ(X0,X2))
| ~ list_succeeds(X1)
| ~ list_succeeds(X2) ),
inference(cnf_transformation,[],[f659]) ).
fof(f1274,plain,
! [X2,X0,X1] :
( occ(X2,X0) = occ(X2,X1)
| ~ permutation_succeeds(X0,X1) ),
inference(cnf_transformation,[],[f664]) ).
fof(f1279,plain,
! [X0,X1] :
( occ(sK130(X0,X1),X0) != occ(sK130(X0,X1),X1)
| ~ list_succeeds(X0)
| ~ list_succeeds(X1)
| permutation_succeeds(X0,X1) ),
inference(cnf_transformation,[],[f674]) ).
fof(f1284,plain,
! [X0,X1] :
( ~ permutation_succeeds(X0,X1)
| permutation_succeeds(X1,X0) ),
inference(cnf_transformation,[],[f682]) ).
fof(f1296,plain,
permutation_succeeds(sK139,sK141),
inference(cnf_transformation,[],[f687]) ).
fof(f1297,plain,
permutation_succeeds(sK138,sK140),
inference(cnf_transformation,[],[f687]) ).
fof(f1298,plain,
~ permutation_succeeds('**'(sK138,sK139),'**'(sK140,sK141)),
inference(cnf_transformation,[],[f687]) ).
fof(f1416,definition,
sF142 = '**'(sK138,sK139),
introduced(definition,[new_symbols(definition,[sF142])],[function_definition]) ).
fof(f1417,plain,
'**'(sK138,sK139) = sF142,
inference(reorient_equations,[],[f1416]) ).
fof(f1418,definition,
sF143 = '**'(sK140,sK141),
introduced(definition,[new_symbols(definition,[sF143])],[function_definition]) ).
fof(f1419,plain,
'**'(sK140,sK141) = sF143,
inference(reorient_equations,[],[f1418]) ).
fof(f1420,plain,
~ permutation_succeeds(sF142,sF143),
inference(definition_folding,[],[f1298,f1419,f1417]) ).
fof(f1510,plain,
permutation_succeeds(sK140,sK138),
inference(resolution,[],[f1284,f1297]) ).
fof(f1519,plain,
list_succeeds(sK140),
inference(resolution,[],[f1253,f1297]) ).
fof(f1520,plain,
list_succeeds(sK141),
inference(resolution,[],[f1253,f1296]) ).
fof(f1524,plain,
list_succeeds(sK138),
inference(resolution,[],[f1254,f1297]) ).
fof(f1525,plain,
list_succeeds(sK139),
inference(resolution,[],[f1254,f1296]) ).
fof(f1564,plain,
( list_succeeds(sF142)
| ~ list_succeeds(sK138)
| ~ list_succeeds(sK139) ),
inference(superposition,[],[f1171,f1417]) ).
fof(f1565,plain,
( list_succeeds(sF143)
| ~ list_succeeds(sK140)
| ~ list_succeeds(sK141) ),
inference(superposition,[],[f1171,f1419]) ).
fof(f1566,plain,
( list_succeeds(sF143)
| ~ list_succeeds(sK141) ),
inference(forward_subsumption_resolution,[],[f1565,f1519]) ).
fof(f1567,plain,
( list_succeeds(sF142)
| ~ list_succeeds(sK139) ),
inference(forward_subsumption_resolution,[],[f1564,f1524]) ).
fof(f1570,plain,
list_succeeds(sF143),
inference(forward_subsumption_resolution,[],[f1566,f1520]) ).
fof(f1571,plain,
list_succeeds(sF142),
inference(forward_subsumption_resolution,[],[f1567,f1525]) ).
fof(f1716,plain,
! [X2,X3,X0,X1] :
( occ(X0,'**'(X2,X3)) = '@+'(occ(X0,X1),occ(X0,X3))
| ~ list_succeeds(X2)
| ~ list_succeeds(X3)
| ~ permutation_succeeds(X2,X1) ),
inference(superposition,[],[f1271,f1274]) ).
fof(f1720,plain,
! [X2,X3,X0,X1] :
( occ(X0,'**'(X2,X3)) = '@+'(occ(X0,X2),occ(X0,X1))
| ~ list_succeeds(X2)
| ~ list_succeeds(X3)
| ~ permutation_succeeds(X3,X1) ),
inference(superposition,[],[f1271,f1274]) ).
fof(f1725,plain,
! [X2,X3,X0,X1] :
( occ(X0,'**'(X2,X3)) = '@+'(occ(X0,X2),occ(X0,X1))
| ~ list_succeeds(X2)
| ~ permutation_succeeds(X3,X1) ),
inference(forward_subsumption_resolution,[],[f1720,f1254]) ).
fof(f1729,plain,
! [X2,X3,X0,X1] :
( occ(X0,'**'(X2,X3)) = '@+'(occ(X0,X1),occ(X0,X3))
| ~ list_succeeds(X3)
| ~ permutation_succeeds(X2,X1) ),
inference(forward_subsumption_resolution,[],[f1716,f1254]) ).
fof(f4566,plain,
! [X2,X3,X0,X1,X4] :
( occ(X0,'**'(X3,X4)) = occ(X0,'**'(X2,X1))
| ~ list_succeeds(X3)
| ~ permutation_succeeds(X4,X1)
| ~ list_succeeds(X1)
| ~ permutation_succeeds(X2,X3) ),
inference(superposition,[],[f1725,f1729]) ).
fof(f4575,plain,
! [X2,X3,X0,X1,X4] :
( occ(X0,'**'(X3,X4)) = occ(X0,'**'(X2,X1))
| ~ list_succeeds(X3)
| ~ permutation_succeeds(X4,X1)
| ~ permutation_succeeds(X2,X3) ),
inference(forward_subsumption_resolution,[],[f4566,f1253]) ).
fof(f4602,plain,
! [X2,X3,X0,X1,X4] :
( occ(X0,'**'(X3,X4)) = occ(X0,'**'(X2,X1))
| ~ permutation_succeeds(X4,X1)
| ~ permutation_succeeds(X2,X3) ),
inference(forward_subsumption_resolution,[],[f4575,f1253]) ).
fof(f4620,plain,
! [X2,X0,X1] :
( occ(X0,'**'(X1,X2)) = occ(X0,sF142)
| ~ permutation_succeeds(sK139,X2)
| ~ permutation_succeeds(X1,sK138) ),
inference(superposition,[],[f4602,f1417]) ).
fof(f4814,plain,
! [X0] :
( occ(X0,sF142) = occ(X0,sF143)
| ~ permutation_succeeds(sK139,sK141)
| ~ permutation_succeeds(sK140,sK138) ),
inference(superposition,[],[f4620,f1419]) ).
fof(f4903,plain,
! [X0] :
( occ(X0,sF142) = occ(X0,sF143)
| ~ permutation_succeeds(sK140,sK138) ),
inference(forward_subsumption_resolution,[],[f4814,f1296]) ).
fof(f4906,plain,
! [X0] : occ(X0,sF142) = occ(X0,sF143),
inference(forward_subsumption_resolution,[],[f4903,f1510]) ).
fof(f4907,plain,
$false,
inference(unit_resulting_resolution,[],[f1279,f1571,f1570,f1420,f4906]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX057+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n017.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 14:52:51 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 14.14/2.72 % (3610467)Detected formulas, will run a generic FOF schedule.
% 14.14/2.72 % (3610473)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=2960593146:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 14.14/2.72 % (3610476)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2798470652:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 14.14/2.72 % (3610475)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1509722185:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 14.14/2.72 % (3610474)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=2977492299:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 14.14/2.72 % (3610472)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=1107442969:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 14.14/2.72 % (3610475)Refutation not found, incomplete strategy
% 14.14/2.72 % (3610475)------------------------------
% 14.14/2.72 % (3610475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.14/2.72 % (3610475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.14/2.72 % (3610475)CaDiCaL version: 2.1.3
% 14.14/2.72 % (3610475)Termination reason: Refutation not found, incomplete strategy
% 14.14/2.72 % (3610475)Time elapsed: 0.005 s
% 14.14/2.72 % (3610475)Peak memory usage: 89 MB
% 14.14/2.72 % (3610475)Instructions burned: 6 (million)
% 14.14/2.72 % (3610477)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2436645344:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 14.14/2.72 % (3610478)dis-21_1_sil=8000:lcm=predicate:random_seed=2025009994: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)
% 14.14/2.72 % (3610476)Instruction limit reached!
% 14.14/2.72 % (3610476)------------------------------
% 14.14/2.72 % (3610476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.14/2.72 % (3610476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.14/2.72 % (3610476)CaDiCaL version: 2.1.3
% 14.14/2.72 % (3610476)Termination reason: Instruction limit
% 14.14/2.72 % (3610476)Termination phase: Saturation
% 14.14/2.72 % (3610476)Time elapsed: 0.075 s
% 14.14/2.72 % (3610476)Peak memory usage: 89 MB
% 14.14/2.72 % (3610476)Instructions burned: 119 (million)
% 14.14/2.72 % (3610477)Instruction limit reached!
% 14.14/2.72 % (3610477)------------------------------
% 14.14/2.72 % (3610477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.14/2.72 % (3610477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.14/2.72 % (3610477)CaDiCaL version: 2.1.3
% 14.14/2.72 % (3610477)Termination reason: Instruction limit
% 14.14/2.72 % (3610477)Termination phase: Saturation
% 14.14/2.72 % (3610477)Time elapsed: 0.078 s
% 14.14/2.72 % (3610477)Peak memory usage: 89 MB
% 14.14/2.72 % (3610477)Instructions burned: 140 (million)
% 14.14/2.72 % (3610478)Instruction limit reached!
% 14.14/2.72 % (3610478)------------------------------
% 14.14/2.72 % (3610478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.14/2.72 % (3610478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.14/2.72 % (3610478)CaDiCaL version: 2.1.3
% 14.14/2.72 % (3610478)Termination reason: Instruction limit
% 14.14/2.72 % (3610478)Termination phase: Saturation
% 14.14/2.72 % (3610478)Time elapsed: 0.080 s
% 14.14/2.72 % (3610478)Peak memory usage: 89 MB
% 14.14/2.72 % (3610478)Instructions burned: 130 (million)
% 14.14/2.72 % (3610486)lrs+10_1_sil=8000:sp=occurrence:random_seed=1953562087:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 14.14/2.72 % (3610487)lrs+10_1_sil=32000:urr=on:br=off:random_seed=119204111:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 14.14/2.72 % (3610488)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3189389324:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 14.14/2.72 % (3610475)------------------------------
% 14.14/2.72 % (3610475)------------------------------
% 14.14/2.72 % (3610487)Instruction limit reached!
% 14.14/2.72 % (3610487)------------------------------
% 14.14/2.72 % (3610487)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.88/3.57 % (3610487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.88/3.57 % (3610487)CaDiCaL version: 2.1.3
% 19.88/3.57 % (3610487)Termination reason: Instruction limit
% 19.88/3.57 % (3610487)Termination phase: Saturation
% 19.88/3.57 % (3610487)Time elapsed: 0.079 s
% 19.88/3.57 % (3610487)Peak memory usage: 91 MB
% 19.88/3.57 % (3610487)Instructions burned: 159 (million)
% 19.88/3.57 % (3610492)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3564642855:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 19.88/3.57 % (3610486)Instruction limit reached!
% 19.88/3.57 % (3610486)------------------------------
% 19.88/3.57 % (3610486)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.88/3.57 % (3610486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.88/3.57 % (3610486)CaDiCaL version: 2.1.3
% 19.88/3.57 % (3610486)Termination reason: Instruction limit
% 19.88/3.57 % (3610486)Termination phase: Saturation
% 19.88/3.57 % (3610486)Time elapsed: 0.190 s
% 19.88/3.57 % (3610486)Peak memory usage: 92 MB
% 19.88/3.57 % (3610486)Instructions burned: 285 (million)
% 19.88/3.57 % (3610488)Instruction limit reached!
% 19.88/3.57 % (3610488)------------------------------
% 19.88/3.57 % (3610488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.88/3.57 % (3610488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.88/3.57 % (3610488)CaDiCaL version: 2.1.3
% 19.88/3.57 % (3610488)Termination reason: Instruction limit
% 19.88/3.57 % (3610488)Termination phase: Saturation
% 19.88/3.57 % (3610488)Time elapsed: 0.208 s
% 19.88/3.57 % (3610488)Peak memory usage: 92 MB
% 19.88/3.57 % (3610488)Instructions burned: 327 (million)
% 19.88/3.57 % (3610493)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2270783513:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 19.88/3.57 % (3610492)Instruction limit reached!
% 19.88/3.57 % (3610492)------------------------------
% 19.88/3.57 % (3610492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.88/3.57 % (3610492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.88/3.57 % (3610492)CaDiCaL version: 2.1.3
% 19.88/3.57 % (3610492)Termination reason: Instruction limit
% 19.88/3.57 % (3610492)Termination phase: Saturation
% 19.88/3.57 % (3610492)Time elapsed: 0.135 s
% 19.88/3.57 % (3610492)Peak memory usage: 94 MB
% 19.88/3.57 % (3610492)Instructions burned: 250 (million)
% 19.88/3.57 % (3610495)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3875941076:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 19.88/3.57 % (3610496)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=378796272:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 19.88/3.57 % (3610493)Instruction limit reached!
% 19.88/3.57 % (3610493)------------------------------
% 19.88/3.57 % (3610493)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.88/3.57 % (3610493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.88/3.57 % (3610493)CaDiCaL version: 2.1.3
% 19.88/3.57 % (3610493)Termination reason: Instruction limit
% 19.88/3.57 % (3610493)Termination phase: Saturation
% 19.88/3.57 % (3610493)Time elapsed: 0.170 s
% 19.88/3.57 % (3610493)Peak memory usage: 89 MB
% 19.88/3.57 % (3610493)Instructions burned: 296 (million)
% 19.88/3.57 % (3610496)Instruction limit reached!
% 19.88/3.57 % (3610496)------------------------------
% 19.88/3.57 % (3610496)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.88/3.57 % (3610496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.88/3.57 % (3610496)CaDiCaL version: 2.1.3
% 19.88/3.57 % (3610496)Termination reason: Instruction limit
% 19.88/3.57 % (3610496)Termination phase: Saturation
% 19.88/3.57 % (3610496)Time elapsed: 0.076 s
% 19.88/3.57 % (3610496)Peak memory usage: 91 MB
% 19.88/3.57 % (3610496)Instructions burned: 114 (million)
% 19.88/3.57 % (3610498)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2188383143:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 19.88/3.57 % (3610498)Instruction limit reached!
% 19.88/3.57 % (3610498)------------------------------
% 19.88/3.57 % (3610498)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.88/3.57 % (3610498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.88/3.57 % (3610498)CaDiCaL version: 2.1.3
% 27.90/4.83 % (3610498)Termination reason: Instruction limit
% 27.90/4.83 % (3610498)Termination phase: Saturation
% 27.90/4.83 % (3610498)Time elapsed: 0.067 s
% 27.90/4.83 % (3610498)Peak memory usage: 90 MB
% 27.90/4.83 % (3610498)Instructions burned: 127 (million)
% 27.90/4.83 % (3610501)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2649213691:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 27.90/4.83 % (3610502)lrs+10_1_sil=8000:sp=occurrence:random_seed=2379097448:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 27.90/4.83 % (3610501)Instruction limit reached!
% 27.90/4.83 % (3610501)------------------------------
% 27.90/4.83 % (3610501)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.90/4.83 % (3610501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.90/4.83 % (3610501)CaDiCaL version: 2.1.3
% 27.90/4.83 % (3610501)Termination reason: Instruction limit
% 27.90/4.83 % (3610501)Termination phase: Saturation
% 27.90/4.83 % (3610501)Time elapsed: 0.062 s
% 27.90/4.83 % (3610501)Peak memory usage: 89 MB
% 27.90/4.83 % (3610501)Instructions burned: 115 (million)
% 27.90/4.83 % (3610504)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=883999888:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 27.90/4.83 % (3610507)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4053250565:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 27.90/4.83 % (3610504)Instruction limit reached!
% 27.90/4.83 % (3610504)------------------------------
% 27.90/4.83 % (3610504)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.90/4.83 % (3610504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.90/4.83 % (3610504)CaDiCaL version: 2.1.3
% 27.90/4.83 % (3610504)Termination reason: Instruction limit
% 27.90/4.83 % (3610504)Termination phase: Saturation
% 27.90/4.83 % (3610504)Time elapsed: 0.251 s
% 27.90/4.83 % (3610504)Peak memory usage: 91 MB
% 27.90/4.83 % (3610504)Instructions burned: 438 (million)
% 27.90/4.83 % (3610510)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=429130733:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 27.90/4.83 % (3610510)Instruction limit reached!
% 27.90/4.83 % (3610510)------------------------------
% 27.90/4.83 % (3610510)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.90/4.83 % (3610510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.90/4.83 % (3610510)CaDiCaL version: 2.1.3
% 27.90/4.83 % (3610510)Termination reason: Instruction limit
% 27.90/4.83 % (3610510)Termination phase: Saturation
% 27.90/4.83 % (3610510)Time elapsed: 0.080 s
% 27.90/4.83 % (3610510)Peak memory usage: 91 MB
% 27.90/4.83 % (3610510)Instructions burned: 137 (million)
% 27.90/4.83 % (3610502)Instruction limit reached!
% 27.90/4.83 % (3610502)------------------------------
% 27.90/4.83 % (3610502)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.90/4.83 % (3610502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.90/4.83 % (3610502)CaDiCaL version: 2.1.3
% 27.90/4.83 % (3610502)Termination reason: Instruction limit
% 27.90/4.83 % (3610502)Termination phase: Saturation
% 27.90/4.83 % (3610502)Time elapsed: 0.580 s
% 27.90/4.83 % (3610502)Peak memory usage: 99 MB
% 27.90/4.83 % (3610502)Instructions burned: 909 (million)
% 27.90/4.83 % (3610512)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1366886283:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 27.90/4.83 % (3610513)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3728763687:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 27.90/4.83 % (3610512)Instruction limit reached!
% 27.90/4.83 % (3610512)------------------------------
% 27.90/4.83 % (3610512)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.90/4.83 % (3610512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.90/4.83 % (3610512)CaDiCaL version: 2.1.3
% 27.90/4.83 % (3610512)Termination reason: Instruction limit
% 27.90/4.83 % (3610512)Termination phase: Saturation
% 27.90/4.83 % (3610512)Time elapsed: 0.317 s
% 27.90/4.83 % (3610512)Peak memory usage: 93 MB
% 27.90/4.83 % (3610512)Instructions burned: 592 (million)
% 27.90/4.83 % (3610574)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=2482171865:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/125Mi)
% 27.90/4.83 % (3610574)Instruction limit reached!
% 27.90/4.83 % (3610574)------------------------------
% 27.90/4.83 % (3610574)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.90/4.83 % (3610574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.90/4.83 % (3610574)CaDiCaL version: 2.1.3
% 27.90/4.83 % (3610574)Termination reason: Instruction limit
% 27.90/4.83 % (3610574)Termination phase: Saturation
% 27.90/4.83 % (3610574)Time elapsed: 0.082 s
% 27.90/4.83 % (3610574)Peak memory usage: 91 MB
% 27.90/4.83 % (3610574)Instructions burned: 128 (million)
% 27.90/4.83 % (3610495)Instruction limit reached!
% 27.90/4.83 % (3610495)------------------------------
% 27.90/4.83 % (3610495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.90/4.83 % (3610495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.90/4.83 % (3610495)CaDiCaL version: 2.1.3
% 27.90/4.83 % (3610495)Termination reason: Instruction limit
% 27.90/4.83 % (3610495)Termination phase: Saturation
% 27.90/4.83 % (3610495)Time elapsed: 1.494 s
% 27.90/4.83 % (3610495)Peak memory usage: 144 MB
% 27.90/4.83 % (3610495)Instructions burned: 2350 (million)
% 27.90/4.83 % (3610638)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=867446847:i=134:gtgl=5:slsql=off:gtg=exists_sym_2978 on theBenchmark for (2978ds/134Mi)
% 27.90/4.83 % (3610639)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2071995675:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/141Mi)
% 27.90/4.83 % (3610638)Instruction limit reached!
% 27.90/4.83 % (3610638)------------------------------
% 27.90/4.83 % (3610638)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.90/4.83 % (3610638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.90/4.83 % (3610638)CaDiCaL version: 2.1.3
% 27.90/4.83 % (3610638)Termination reason: Instruction limit
% 27.90/4.83 % (3610638)Termination phase: Saturation
% 27.90/4.83 % (3610638)Time elapsed: 0.083 s
% 27.90/4.83 % (3610638)Peak memory usage: 91 MB
% 27.90/4.83 % (3610638)Instructions burned: 134 (million)
% 27.90/4.83 % (3610639)Instruction limit reached!
% 27.90/4.83 % (3610639)------------------------------
% 27.90/4.83 % (3610639)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.90/4.83 % (3610639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.90/4.83 % (3610639)CaDiCaL version: 2.1.3
% 27.90/4.83 % (3610639)Termination reason: Instruction limit
% 27.90/4.83 % (3610639)Termination phase: Saturation
% 27.90/4.83 % (3610639)Time elapsed: 0.074 s
% 27.90/4.83 % (3610639)Peak memory usage: 92 MB
% 27.90/4.83 % (3610639)Instructions burned: 142 (million)
% 27.90/4.83 % (3610642)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=4289826002:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2976 on theBenchmark for (2976ds/431Mi)
% 27.90/4.83 % (3610643)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=450449278:i=6060:aac=none:ins=25_2976 on theBenchmark for (2976ds/6060Mi)
% 27.90/4.83 % (3610642)Instruction limit reached!
% 27.90/4.83 % (3610642)------------------------------
% 27.90/4.83 % (3610642)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.90/4.83 % (3610642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.90/4.83 % (3610642)CaDiCaL version: 2.1.3
% 27.90/4.83 % (3610642)Termination reason: Instruction limit
% 27.90/4.83 % (3610642)Termination phase: Saturation
% 27.90/4.83 % (3610642)Time elapsed: 0.226 s
% 27.90/4.83 % (3610642)Peak memory usage: 93 MB
% 27.90/4.83 % (3610642)Instructions burned: 432 (million)
% 27.90/4.83 % (3610646)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=2725205025:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2973 on theBenchmark for (2973ds/150Mi)
% 27.90/4.83 % (3610646)Instruction limit reached!
% 27.90/4.83 % (3610646)------------------------------
% 27.90/4.83 % (3610646)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.90/4.83 % (3610646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.90/4.83 % (3610646)CaDiCaL version: 2.1.3
% 27.90/4.83 % (3610646)Termination reason: Instruction limit
% 27.90/4.83 % (3610646)Termination phase: Saturation
% 29.97/5.02 % (3610646)Time elapsed: 0.085 s
% 29.97/5.02 % (3610646)Peak memory usage: 92 MB
% 29.97/5.02 % (3610646)Instructions burned: 151 (million)
% 29.97/5.02 % (3610648)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=163237874:i=14155:bd=all_2970 on theBenchmark for (2970ds/14155Mi)
% 29.97/5.02 % (3610643)First to succeed.
% 29.97/5.02 % (3610643)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3610467"
% 29.97/5.02 % (3610648)Also succeeded, but the first one will report.
% 29.97/5.02 % (3610507)Instruction limit reached!
% 29.97/5.02 % (3610507)------------------------------
% 29.97/5.02 % (3610507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.97/5.02 % (3610507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.97/5.02 % (3610507)CaDiCaL version: 2.1.3
% 29.97/5.02 % (3610507)Termination reason: Instruction limit
% 29.97/5.02 % (3610507)Termination phase: Saturation
% 29.97/5.02 % (3610507)Time elapsed: 3.071 s
% 29.97/5.02 % (3610507)Peak memory usage: 160 MB
% 29.97/5.02 % (3610507)Instructions burned: 5202 (million)
% 29.97/5.02 % (3610643)Refutation found. Thanks to Tanya!
% 29.97/5.02 % SZS status Theorem for theBenchmark
% 29.97/5.02 % SZS output start Proof for theBenchmark
% See solution above
% 29.97/5.02 % (3610643)------------------------------
% 29.97/5.02 % (3610643)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.97/5.02 % (3610643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.97/5.02 % (3610643)CaDiCaL version: 2.1.3
% 29.97/5.02 % (3610643)Termination reason: Refutation
% 29.97/5.02 % (3610643)Time elapsed: 1.373 s
% 29.97/5.02 % (3610643)Peak memory usage: 142 MB
% 29.97/5.02 % (3610643)Instructions burned: 2221 (million)
% 29.97/5.02 % (3610643)------------------------------
% 29.97/5.02 % (3610643)------------------------------
% 29.97/5.02 % (3610467)Success in time 4.157 s
% 29.97/5.02 % Vampire exiting
%------------------------------------------------------------------------------