%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUN059+1 : TPTP v9.3.1. Bugfixed v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 12:26:40 PM UTC 2026
% Result : Theorem 8.08s 2.19s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 64 ( 17 unt; 2 def)
% Number of atoms : 176 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 210 ( 98 ~; 76 |; 34 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 3 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 1 con; 0-2 aty)
% Number of variables : 152 ( 0 sgn 128 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
? [X0] :
! [X1] :
( ( id(X1,X0)
& r1(X1) )
| ( ~ r1(X1)
& ~ id(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f5,axiom,
! [X0] : id(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f6,axiom,
! [X0,X1] :
( ~ id(X0,X1)
| id(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f7,axiom,
! [X0,X1,X2] :
( ~ id(X0,X1)
| id(X0,X2)
| ~ id(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f10,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ~ id(X0,X3)
| ~ id(X1,X4)
| ~ id(X2,X5)
| ( ~ r3(X0,X1,X2)
& ~ r3(X3,X4,X5) )
| ( r3(X0,X1,X2)
& r3(X3,X4,X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
fof(f11,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ~ id(X0,X3)
| ~ id(X1,X4)
| ~ id(X2,X5)
| ( ~ r4(X0,X1,X2)
& ~ r4(X3,X4,X5) )
| ( r4(X0,X1,X2)
& r4(X3,X4,X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
fof(f13,axiom,
! [X0,X1] :
? [X2] :
( ? [X3] :
( id(X3,X2)
& ? [X4] :
( r2(X1,X4)
& r4(X0,X4,X3) ) )
& ? [X5] :
( r3(X5,X0,X2)
& r4(X0,X1,X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2a) ).
fof(f15,axiom,
! [X0] :
? [X1] :
( id(X1,X0)
& ? [X2] :
( r1(X2)
& r3(X0,X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4a) ).
fof(f16,axiom,
! [X0] :
? [X1] :
( ? [X2] :
( r1(X2)
& r4(X0,X2,X1) )
& ? [X3] :
( id(X1,X3)
& r1(X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5a) ).
fof(f19,conjecture,
? [X0,X1,X2,X3] :
( ? [X4] :
( id(X3,X4)
& r4(X2,X2,X4) )
& ? [X5] :
( r4(X1,X1,X5)
& ? [X6] :
( r4(X0,X0,X6)
& r3(X6,X5,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fermattothepoweroftwoid) ).
fof(f20,negated_conjecture,
~ ? [X0,X1,X2,X3] :
( ? [X4] :
( id(X3,X4)
& r4(X2,X2,X4) )
& ? [X5] :
( r4(X1,X1,X5)
& ? [X6] :
( r4(X0,X0,X6)
& r3(X6,X5,X3) ) ) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f21,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( ~ id(X3,X4)
| ~ r4(X2,X2,X4) )
| ! [X5] :
( ~ r4(X1,X1,X5)
| ! [X6] :
( ~ r4(X0,X0,X6)
| ~ r3(X6,X5,X3) ) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f22,plain,
! [X0] :
( id(sK0(X0),X0)
& r1(sK1(X0))
& r3(X0,sK1(X0),sK0(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X1,sK0(X0)),skolemize(X2,sK1(X0))],[f15]) ).
fof(f23,plain,
! [X0,X1] :
( id(sK3(X0,X1),sK2(X0,X1))
& r2(X1,sK4(X0,X1))
& r4(X0,sK4(X0,X1),sK3(X0,X1))
& r3(sK5(X0,X1),X0,sK2(X0,X1))
& r4(X0,X1,sK5(X0,X1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5]),skolemize(X2,sK2(X0,X1)),skolemize(X3,sK3(X0,X1)),skolemize(X4,sK4(X0,X1)),skolemize(X5,sK5(X0,X1))],[f13]) ).
fof(f26,plain,
! [X0] :
( r1(sK12(X0))
& r4(X0,sK12(X0),sK11(X0))
& id(sK11(X0),sK13(X0))
& r1(sK13(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12,sK13]),skolemize(X1,sK11(X0)),skolemize(X2,sK12(X0)),skolemize(X3,sK13(X0))],[f16]) ).
fof(f29,plain,
! [X1] :
( ( id(X1,sK18)
& r1(X1) )
| ( ~ r1(X1)
& ~ id(X1,sK18) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(X0,sK18)],[f1]) ).
fof(f31,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ r4(X2,X2,X4)
| ~ id(X3,X4)
| ~ r4(X1,X1,X5)
| ~ r4(X0,X0,X6)
| ~ r3(X6,X5,X3) ),
inference(cnf_transformation,[],[f21]) ).
fof(f32,plain,
! [X2,X0,X1] :
( ~ id(X1,X2)
| id(X0,X2)
| ~ id(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
fof(f33,plain,
! [X0,X1] :
( ~ id(X0,X1)
| id(X1,X0) ),
inference(cnf_transformation,[],[f6]) ).
fof(f34,plain,
! [X0] : id(X0,X0),
inference(cnf_transformation,[],[f5]) ).
fof(f35,plain,
! [X0] : r3(X0,sK1(X0),sK0(X0)),
inference(cnf_transformation,[],[f22]) ).
fof(f36,plain,
! [X0] : r1(sK1(X0)),
inference(cnf_transformation,[],[f22]) ).
fof(f37,plain,
! [X0] : id(sK0(X0),X0),
inference(cnf_transformation,[],[f22]) ).
fof(f38,plain,
! [X0,X1] : r4(X0,X1,sK5(X0,X1)),
inference(cnf_transformation,[],[f23]) ).
fof(f49,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r3(X3,X4,X5)
| ~ id(X1,X4)
| ~ id(X2,X5)
| ~ id(X0,X3)
| r3(X0,X1,X2) ),
inference(cnf_transformation,[],[f10]) ).
fof(f56,plain,
! [X0] : r1(sK13(X0)),
inference(cnf_transformation,[],[f26]) ).
fof(f57,plain,
! [X0] : id(sK11(X0),sK13(X0)),
inference(cnf_transformation,[],[f26]) ).
fof(f58,plain,
! [X0] : r4(X0,sK12(X0),sK11(X0)),
inference(cnf_transformation,[],[f26]) ).
fof(f59,plain,
! [X0] : r1(sK12(X0)),
inference(cnf_transformation,[],[f26]) ).
fof(f62,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r4(X0,X1,X2)
| ~ id(X1,X4)
| ~ id(X2,X5)
| ~ id(X0,X3)
| r4(X3,X4,X5) ),
inference(cnf_transformation,[],[f11]) ).
fof(f80,plain,
! [X1] :
( id(X1,sK18)
| ~ r1(X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f96,plain,
! [X0] :
( id(sK18,X0)
| ~ r1(X0) ),
inference(resolution,[],[f33,f80]) ).
fof(f99,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ id(X0,sK5(X1,X1))
| ~ r4(X2,X2,X3)
| ~ r4(X4,X4,X5)
| ~ r3(X5,X3,X0) ),
inference(resolution,[],[f38,f31]) ).
fof(f101,plain,
! [X2,X3,X0,X1,X4] :
( ~ r3(X3,X1,sK0(sK5(X4,X4)))
| ~ r4(X2,X2,X3)
| ~ r4(X0,X0,X1) ),
inference(resolution,[],[f99,f37]) ).
fof(f165,plain,
! [X0,X1] :
( ~ id(X0,sK18)
| id(X0,X1)
| ~ r1(X1) ),
inference(resolution,[],[f32,f96]) ).
fof(f173,plain,
! [X0,X1] :
( ~ id(X0,X1)
| id(X0,sK18)
| ~ r1(X1) ),
inference(resolution,[],[f32,f80]) ).
fof(f231,plain,
! [X2,X3,X0,X1] :
( ~ id(X2,sK0(X1))
| ~ id(X0,sK1(X1))
| ~ id(X3,X1)
| r3(X3,X0,X2) ),
inference(resolution,[],[f49,f35]) ).
fof(f248,plain,
! [X2,X3,X0,X1] :
( ~ id(sK12(X0),X1)
| ~ id(sK11(X0),X2)
| ~ id(X0,X3)
| r4(X3,X1,X2) ),
inference(resolution,[],[f62,f58]) ).
fof(f379,plain,
! [X0] :
( id(sK11(X0),sK18)
| ~ r1(sK13(X0)) ),
inference(resolution,[],[f173,f57]) ).
fof(f386,plain,
! [X0] : id(sK11(X0),sK18),
inference(forward_subsumption_resolution,[],[f379,f56]) ).
fof(f839,plain,
! [X2,X0,X1] :
( r3(X2,X0,sK0(X1))
| ~ id(X2,X1)
| ~ id(X0,sK1(X1)) ),
inference(resolution,[],[f231,f34]) ).
fof(f981,plain,
! [X2,X0,X1] :
( r4(X2,sK12(X0),X1)
| ~ id(X0,X2)
| ~ id(sK11(X0),X1) ),
inference(resolution,[],[f248,f34]) ).
fof(f1195,plain,
! [X0] :
( id(sK0(sK18),X0)
| ~ r1(X0) ),
inference(resolution,[],[f165,f37]) ).
fof(f4414,plain,
! [X2,X3,X0,X1,X4] :
( ~ id(X2,sK1(sK5(X1,X1)))
| ~ id(X0,sK5(X1,X1))
| ~ r4(X3,X3,X0)
| ~ r4(X4,X4,X2) ),
inference(resolution,[],[f839,f101]) ).
fof(f4439,plain,
! [X2,X3,X0,X1] :
( ~ id(X0,sK5(X1,X1))
| ~ r4(X2,X2,X0)
| ~ r4(X3,X3,sK18)
| ~ r1(sK1(sK5(X1,X1))) ),
inference(resolution,[],[f4414,f96]) ).
fof(f4449,plain,
! [X2,X3,X0,X1] :
( ~ id(X0,sK5(X1,X1))
| ~ r4(X2,X2,X0)
| ~ r4(X3,X3,sK18) ),
inference(forward_subsumption_resolution,[],[f4439,f36]) ).
fof(f4458,definition,
( spl20_12
<=> ! [X2,X0,X1] :
( ~ id(X0,sK5(X1,X1))
| ~ r4(X2,X2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl20_12])],[avatar_definition]) ).
fof(f4459,plain,
( ! [X2,X0,X1] :
( ~ id(X0,sK5(X1,X1))
| ~ r4(X2,X2,X0) )
| ~ spl20_12 ),
inference(avatar_component_clause,[],[f4458]) ).
fof(f4466,definition,
( spl20_14
<=> ! [X3] : ~ r4(X3,X3,sK18) ),
introduced(definition,[new_symbols(definition,[spl20_14])],[avatar_definition]) ).
fof(f4467,plain,
( ! [X3] : ~ r4(X3,X3,sK18)
| ~ spl20_14 ),
inference(avatar_component_clause,[],[f4466]) ).
fof(f4468,plain,
( spl20_14
| spl20_12 ),
inference(avatar_split_clause,[],[f4449,f4458,f4466]) ).
fof(f4484,plain,
( ! [X0,X1] : ~ r4(X0,X0,sK5(X1,X1))
| ~ spl20_12 ),
inference(resolution,[],[f4459,f34]) ).
fof(f4592,plain,
( $false
| ~ spl20_12 ),
inference(resolution,[],[f4484,f38]) ).
fof(f4593,plain,
~ spl20_12,
inference(avatar_contradiction_clause,[],[f4592]) ).
fof(f4672,plain,
( ! [X0] :
( ~ id(X0,sK12(X0))
| ~ id(sK11(X0),sK18) )
| ~ spl20_14 ),
inference(resolution,[],[f981,f4467]) ).
fof(f4696,plain,
( ! [X0] : ~ id(X0,sK12(X0))
| ~ spl20_14 ),
inference(forward_subsumption_resolution,[],[f4672,f386]) ).
fof(f4705,plain,
( ~ r1(sK12(sK0(sK18)))
| ~ spl20_14 ),
inference(resolution,[],[f4696,f1195]) ).
fof(f4723,plain,
( $false
| ~ spl20_14 ),
inference(forward_subsumption_resolution,[],[f4705,f59]) ).
fof(f4724,plain,
~ spl20_14,
inference(avatar_contradiction_clause,[],[f4723]) ).
cnf(s37,plain,
( spl20_12
| spl20_14 ),
inference(sat_conversion,[],[f4468]) ).
cnf(s40,plain,
~ spl20_12,
inference(sat_conversion,[],[f4593]) ).
cnf(s46,plain,
~ spl20_14,
inference(sat_conversion,[],[f4724]) ).
cnf(s49,plain,
$false,
inference(rat,[],[s37,s46,s40]) ).
fof(f4725,plain,
$false,
inference(avatar_sat_refutation,[],[s49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUN059+1 : TPTP v9.3.1. Bugfixed v7.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n016.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 21:56:48 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 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
% 8.08/2.19 % (3031055)Detected formulas, will run a generic FOF schedule.
% 8.08/2.19 % (3031073)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2816582153:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.08/2.19 % (3031073)Refutation not found, incomplete strategy
% 8.08/2.19 % (3031073)------------------------------
% 8.08/2.19 % (3031073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.08/2.19 % (3031073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/2.19 % (3031073)CaDiCaL version: 2.1.3
% 8.08/2.19 % (3031073)Termination reason: Refutation not found, incomplete strategy
% 8.08/2.19 % (3031073)Time elapsed: 0.003 s
% 8.08/2.19 % (3031073)Peak memory usage: 88 MB
% 8.08/2.19 % (3031073)Instructions burned: 3 (million)
% 8.08/2.19 % (3031072)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=2261196058:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.08/2.19 % (3031076)dis-21_1_sil=8000:lcm=predicate:random_seed=2847180909: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)
% 8.08/2.19 % (3031070)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=1961005062:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.08/2.19 % (3031071)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=904670555:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.08/2.19 % (3031074)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=734302958:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.08/2.19 % (3031075)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3809390570:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.08/2.19 % (3031074)Instruction limit reached!
% 8.08/2.19 % (3031074)------------------------------
% 8.08/2.19 % (3031074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.08/2.19 % (3031074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/2.19 % (3031074)CaDiCaL version: 2.1.3
% 8.08/2.19 % (3031074)Termination reason: Instruction limit
% 8.08/2.19 % (3031074)Termination phase: Saturation
% 8.08/2.19 % (3031074)Time elapsed: 0.115 s
% 8.08/2.19 % (3031074)Peak memory usage: 88 MB
% 8.08/2.19 % (3031074)Instructions burned: 119 (million)
% 8.08/2.19 % (3031076)Instruction limit reached!
% 8.08/2.19 % (3031076)------------------------------
% 8.08/2.19 % (3031076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.08/2.19 % (3031076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/2.19 % (3031076)CaDiCaL version: 2.1.3
% 8.08/2.19 % (3031076)Termination reason: Instruction limit
% 8.08/2.19 % (3031076)Termination phase: Saturation
% 8.08/2.19 % (3031076)Time elapsed: 0.132 s
% 8.08/2.19 % (3031076)Peak memory usage: 89 MB
% 8.08/2.19 % (3031076)Instructions burned: 129 (million)
% 8.08/2.19 % (3031075)Instruction limit reached!
% 8.08/2.19 % (3031075)------------------------------
% 8.08/2.19 % (3031075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.08/2.19 % (3031075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/2.19 % (3031075)CaDiCaL version: 2.1.3
% 8.08/2.19 % (3031075)Termination reason: Instruction limit
% 8.08/2.19 % (3031075)Termination phase: Saturation
% 8.08/2.19 % (3031075)Time elapsed: 0.154 s
% 8.08/2.19 % (3031075)Peak memory usage: 89 MB
% 8.08/2.19 % (3031075)Instructions burned: 139 (million)
% 8.08/2.19 % (3031073)------------------------------
% 8.08/2.19 % (3031073)------------------------------
% 8.08/2.19 % (3031090)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3588342288:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 8.08/2.19 % (3031089)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3070442197:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 8.08/2.19 % (3031088)lrs+10_1_sil=8000:sp=occurrence:random_seed=939524269:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 8.08/2.19 % (3031091)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=3467031433:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 8.08/2.19 % (3031089)Instruction limit reached!
% 8.08/2.19 % (3031089)------------------------------
% 8.08/2.19 % (3031089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.08/2.19 % (3031089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/2.19 % (3031089)CaDiCaL version: 2.1.3
% 8.08/2.19 % (3031089)Termination reason: Instruction limit
% 8.08/2.19 % (3031089)Termination phase: Saturation
% 8.08/2.19 % (3031089)Time elapsed: 0.119 s
% 8.08/2.19 % (3031089)Peak memory usage: 90 MB
% 8.08/2.19 % (3031089)Instructions burned: 158 (million)
% 8.08/2.19 % (3031090)Instruction limit reached!
% 8.08/2.19 % (3031090)------------------------------
% 8.08/2.19 % (3031090)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.08/2.19 % (3031090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/2.19 % (3031090)CaDiCaL version: 2.1.3
% 8.08/2.19 % (3031090)Termination reason: Instruction limit
% 8.08/2.19 % (3031090)Termination phase: Saturation
% 8.08/2.19 % (3031090)Time elapsed: 0.173 s
% 8.08/2.19 % (3031090)Peak memory usage: 91 MB
% 8.08/2.19 % (3031090)Instructions burned: 325 (million)
% 8.08/2.19 % (3031088)First to succeed.
% 8.08/2.19 % (3031088)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3031055"
% 8.08/2.19 % (3031091)Instruction limit reached!
% 8.08/2.19 % (3031091)------------------------------
% 8.08/2.19 % (3031091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.08/2.19 % (3031091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/2.19 % (3031091)CaDiCaL version: 2.1.3
% 8.08/2.19 % (3031091)Termination reason: Instruction limit
% 8.08/2.19 % (3031091)Termination phase: Saturation
% 8.08/2.19 % (3031091)Time elapsed: 0.214 s
% 8.08/2.19 % (3031091)Peak memory usage: 91 MB
% 8.08/2.19 % (3031091)Instructions burned: 249 (million)
% 8.08/2.19 % (3031098)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1788252132:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 8.08/2.19 % (3031099)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1391269691:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 8.08/2.19 % (3031100)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2450601698:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 8.08/2.19 % (3031098)Instruction limit reached!
% 8.08/2.19 % (3031098)------------------------------
% 8.08/2.19 % (3031098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.08/2.19 % (3031098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/2.19 % (3031098)CaDiCaL version: 2.1.3
% 8.08/2.19 % (3031098)Termination reason: Instruction limit
% 8.08/2.19 % (3031098)Termination phase: Saturation
% 8.08/2.19 % (3031098)Time elapsed: 0.154 s
% 8.08/2.19 % (3031098)Peak memory usage: 88 MB
% 8.08/2.19 % (3031098)Instructions burned: 294 (million)
% 8.08/2.19 % (3031100)Instruction limit reached!
% 8.08/2.19 % (3031100)------------------------------
% 8.08/2.19 % (3031100)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.08/2.19 % (3031100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.08/2.19 % (3031100)CaDiCaL version: 2.1.3
% 8.08/2.19 % (3031100)Termination reason: Instruction limit
% 8.08/2.19 % (3031100)Termination phase: Saturation
% 8.08/2.19 % (3031100)Time elapsed: 0.050 s
% 8.08/2.19 % (3031100)Peak memory usage: 88 MB
% 8.08/2.19 % (3031100)Instructions burned: 115 (million)
% 8.08/2.19 % (3031088)Refutation found. Thanks to Tanya!
% 8.08/2.19 % SZS status Theorem for theBenchmark
% 8.08/2.19 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/2.41 % (3031088)------------------------------
% 0.18/2.41 % (3031088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/2.41 % (3031088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/2.41 % (3031088)CaDiCaL version: 2.1.3
% 0.18/2.41 % (3031088)Termination reason: Refutation
% 0.18/2.41 % (3031088)Time elapsed: 0.201 s
% 0.18/2.41 % (3031088)Peak memory usage: 91 MB
% 0.18/2.41 % (3031088)Instructions burned: 207 (million)
% 0.18/2.41 % (3031088)------------------------------
% 0.18/2.41 % (3031088)------------------------------
% 0.18/2.41 % (3031055)Success in time 1.141 s
% 0.18/2.41 % Vampire exiting
%------------------------------------------------------------------------------