%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP075-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 10:12:31 AM UTC 2026
% Result : Unsatisfiable 4.37s 1.22s
% Output : Refutation 5.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 5
% Syntax : Number of formulae : 76 ( 65 unt; 0 def)
% Number of atoms : 95 ( 94 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 54 ( 35 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 108 ( 108 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : double_divide(double_divide(double_divide(X0,double_divide(X1,identity)),double_divide(double_divide(X2,double_divide(X3,double_divide(X3,identity))),double_divide(X0,identity))),X1) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0] : inverse(X0) = double_divide(X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f4,plain,
! [X0] : double_divide(X0,identity) = inverse(X0),
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f6,negated_conjecture,
( multiply(inverse(a1),a1) != identity
| multiply(identity,a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
fof(f7,plain,
( identity != multiply(inverse(a1),a1)
| a2 != multiply(identity,a2)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(reorient_equations,[],[f6]) ).
fof(f8,plain,
! [X0] : identity = double_divide(X0,double_divide(X0,identity)),
inference(definition_unfolding,[],[f5,f4]) ).
fof(f9,plain,
( double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity)
| a2 != double_divide(double_divide(a2,identity),identity)
| identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity) ),
inference(definition_unfolding,[],[f7,f2,f4,f2,f2,f2,f2,f2]) ).
fof(f10,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(X0,double_divide(X1,identity)),double_divide(double_divide(X2,identity),double_divide(X0,identity))),X1) = X2,
inference(forward_demodulation,[],[f1,f8]) ).
fof(f12,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(X1,identity),double_divide(X0,identity))),X0) = X1,
inference(superposition,[],[f10,f8]) ).
fof(f16,plain,
! [X0,X1] : double_divide(double_divide(double_divide(double_divide(X0,identity),double_divide(X1,identity)),identity),X1) = X0,
inference(superposition,[],[f10,f8]) ).
fof(f22,plain,
! [X0] : double_divide(double_divide(identity,identity),double_divide(X0,identity)) = X0,
inference(superposition,[],[f12,f8]) ).
fof(f29,plain,
! [X0,X1] : double_divide(double_divide(X1,double_divide(identity,identity)),double_divide(double_divide(X0,identity),double_divide(X1,identity))) = double_divide(double_divide(identity,identity),X0),
inference(superposition,[],[f22,f10]) ).
fof(f34,plain,
identity = double_divide(identity,identity),
inference(superposition,[],[f8,f22]) ).
fof(f37,plain,
! [X0,X1] : double_divide(identity,X0) = double_divide(double_divide(X1,identity),double_divide(double_divide(X0,identity),double_divide(X1,identity))),
inference(forward_demodulation,[],[f29,f34]) ).
fof(f41,plain,
! [X0,X1] : double_divide(identity,X1) = double_divide(X0,double_divide(double_divide(X1,identity),X0)),
inference(superposition,[],[f37,f12]) ).
fof(f42,plain,
! [X0] : double_divide(identity,identity) = double_divide(double_divide(X0,identity),X0),
inference(superposition,[],[f37,f22]) ).
fof(f43,plain,
! [X0] : double_divide(identity,X0) = double_divide(double_divide(double_divide(X0,identity),identity),identity),
inference(superposition,[],[f37,f8]) ).
fof(f44,plain,
! [X0] : identity = double_divide(double_divide(X0,identity),X0),
inference(forward_demodulation,[],[f42,f34]) ).
fof(f53,plain,
! [X0] : double_divide(double_divide(X0,identity),identity) = double_divide(identity,double_divide(X0,identity)),
inference(superposition,[],[f37,f44]) ).
fof(f54,plain,
! [X0] : double_divide(X0,identity) = double_divide(double_divide(identity,identity),X0),
inference(superposition,[],[f12,f44]) ).
fof(f58,plain,
! [X0,X1] : double_divide(double_divide(double_divide(double_divide(identity,identity),double_divide(X0,identity)),double_divide(double_divide(X1,identity),identity)),X0) = X1,
inference(superposition,[],[f10,f44]) ).
fof(f61,plain,
! [X0] : double_divide(double_divide(identity,double_divide(double_divide(X0,identity),identity)),double_divide(identity,identity)) = X0,
inference(superposition,[],[f12,f44]) ).
fof(f65,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(X1,identity),double_divide(double_divide(double_divide(X0,identity),identity),identity))),X0) = X1,
inference(superposition,[],[f10,f44]) ).
fof(f66,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(X1,identity),double_divide(identity,X0))),X0) = X1,
inference(forward_demodulation,[],[f65,f43]) ).
fof(f68,plain,
! [X0] : double_divide(double_divide(identity,double_divide(double_divide(X0,identity),identity)),identity) = X0,
inference(forward_demodulation,[],[f61,f34]) ).
fof(f71,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,identity),identity)),X0) = X1,
inference(forward_demodulation,[],[f58,f22]) ).
fof(f73,plain,
! [X0] : double_divide(X0,identity) = double_divide(identity,X0),
inference(forward_demodulation,[],[f54,f34]) ).
fof(f76,plain,
! [X0] : double_divide(double_divide(identity,X0),identity) = X0,
inference(forward_demodulation,[],[f68,f41]) ).
fof(f77,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(identity,double_divide(X1,identity))),X0) = X1,
inference(forward_demodulation,[],[f71,f53]) ).
fof(f81,plain,
! [X0] : double_divide(identity,double_divide(identity,X0)) = X0,
inference(forward_demodulation,[],[f76,f73]) ).
fof(f98,plain,
( double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(identity,double_divide(double_divide(double_divide(c3,b3),identity),a3))
| a2 != double_divide(double_divide(a2,identity),identity)
| identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity) ),
inference(superposition,[],[f9,f73]) ).
fof(f101,plain,
! [X0] : double_divide(identity,double_divide(identity,double_divide(double_divide(X0,identity),double_divide(identity,identity)))) = X0,
inference(superposition,[],[f12,f73]) ).
fof(f102,plain,
! [X0] : double_divide(double_divide(X0,identity),double_divide(identity,identity)) = X0,
inference(forward_demodulation,[],[f101,f81]) ).
fof(f104,plain,
( double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(identity,double_divide(double_divide(identity,double_divide(c3,b3)),a3))
| a2 != double_divide(double_divide(a2,identity),identity)
| identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity) ),
inference(forward_demodulation,[],[f98,f73]) ).
fof(f112,plain,
! [X0] : double_divide(double_divide(X0,identity),identity) = X0,
inference(forward_demodulation,[],[f102,f34]) ).
fof(f114,plain,
( double_divide(identity,double_divide(double_divide(identity,double_divide(c3,b3)),a3)) != double_divide(identity,double_divide(c3,double_divide(double_divide(b3,a3),identity)))
| a2 != double_divide(double_divide(a2,identity),identity)
| identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity) ),
inference(forward_demodulation,[],[f104,f73]) ).
fof(f120,plain,
! [X0] : double_divide(identity,double_divide(X0,identity)) = X0,
inference(forward_demodulation,[],[f112,f73]) ).
fof(f122,plain,
( double_divide(identity,double_divide(double_divide(identity,double_divide(c3,b3)),a3)) != double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3))))
| a2 != double_divide(double_divide(a2,identity),identity)
| identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity) ),
inference(forward_demodulation,[],[f114,f73]) ).
fof(f129,plain,
( a2 != double_divide(identity,double_divide(a2,identity))
| double_divide(identity,double_divide(double_divide(identity,double_divide(c3,b3)),a3)) != double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3))))
| identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity) ),
inference(forward_demodulation,[],[f122,f73]) ).
fof(f132,plain,
( double_divide(identity,double_divide(double_divide(identity,double_divide(c3,b3)),a3)) != double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3))))
| identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity) ),
inference(forward_subsumption_resolution,[],[f129,f120]) ).
fof(f134,plain,
( identity != double_divide(identity,double_divide(a1,double_divide(a1,identity)))
| double_divide(identity,double_divide(double_divide(identity,double_divide(c3,b3)),a3)) != double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3)))) ),
inference(forward_demodulation,[],[f132,f73]) ).
fof(f136,plain,
( identity != double_divide(identity,identity)
| double_divide(identity,double_divide(double_divide(identity,double_divide(c3,b3)),a3)) != double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3)))) ),
inference(forward_demodulation,[],[f134,f8]) ).
fof(f138,plain,
double_divide(identity,double_divide(double_divide(identity,double_divide(c3,b3)),a3)) != double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3)))),
inference(forward_subsumption_resolution,[],[f136,f34]) ).
fof(f162,plain,
! [X0,X1] : double_divide(double_divide(X1,X0),X1) = X0,
inference(superposition,[],[f77,f120]) ).
fof(f169,plain,
! [X0,X1] : double_divide(X0,double_divide(double_divide(identity,double_divide(X1,identity)),double_divide(identity,double_divide(X0,identity)))) = X1,
inference(superposition,[],[f77,f77]) ).
fof(f185,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X2,identity),double_divide(double_divide(double_divide(X1,identity),double_divide(identity,double_divide(X0,identity))),identity))),X1) = X2,
inference(superposition,[],[f10,f77]) ).
fof(f186,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X2,identity),double_divide(identity,double_divide(double_divide(X1,identity),double_divide(identity,double_divide(X0,identity)))))),X1) = X2,
inference(forward_demodulation,[],[f185,f73]) ).
fof(f201,plain,
! [X0,X1] : double_divide(X0,double_divide(double_divide(identity,double_divide(X1,identity)),X0)) = X1,
inference(forward_demodulation,[],[f169,f120]) ).
fof(f208,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X2,identity),double_divide(identity,double_divide(double_divide(X1,identity),X0)))),X1) = X2,
inference(forward_demodulation,[],[f186,f120]) ).
fof(f212,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(forward_demodulation,[],[f201,f120]) ).
fof(f224,plain,
! [X0,X1] : double_divide(double_divide(X0,identity),double_divide(X1,identity)) = double_divide(double_divide(identity,X0),double_divide(X1,identity)),
inference(superposition,[],[f162,f37]) ).
fof(f265,plain,
! [X0,X1] : double_divide(X1,X0) = double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,identity))),
inference(superposition,[],[f212,f12]) ).
fof(f297,plain,
! [X0,X1] : double_divide(double_divide(X1,identity),X0) = double_divide(double_divide(identity,X1),X0),
inference(superposition,[],[f224,f77]) ).
fof(f575,plain,
! [X0,X1] : double_divide(identity,double_divide(double_divide(X1,identity),X0)) = double_divide(double_divide(X0,identity),X1),
inference(superposition,[],[f208,f162]) ).
fof(f677,plain,
! [X0,X1] : double_divide(double_divide(X1,identity),double_divide(identity,X0)) = double_divide(identity,double_divide(X0,X1)),
inference(superposition,[],[f575,f162]) ).
fof(f682,plain,
! [X0,X1] : double_divide(identity,double_divide(X0,X1)) = double_divide(double_divide(X1,identity),double_divide(identity,double_divide(identity,double_divide(X0,identity)))),
inference(superposition,[],[f575,f77]) ).
fof(f688,plain,
! [X0,X1] : double_divide(double_divide(X1,identity),X0) = double_divide(identity,double_divide(double_divide(identity,X0),X1)),
inference(superposition,[],[f575,f297]) ).
fof(f726,plain,
! [X0,X1] : double_divide(double_divide(X1,identity),double_divide(X0,identity)) = double_divide(identity,double_divide(X0,X1)),
inference(forward_demodulation,[],[f682,f81]) ).
fof(f750,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,identity)) = double_divide(identity,double_divide(X1,double_divide(identity,X0))),
inference(superposition,[],[f726,f162]) ).
fof(f835,plain,
! [X0,X1] : double_divide(X1,double_divide(X0,identity)) = double_divide(identity,double_divide(double_divide(double_divide(identity,X0),identity),double_divide(X1,identity))),
inference(superposition,[],[f265,f297]) ).
fof(f885,plain,
! [X0,X1] : double_divide(X1,double_divide(X0,identity)) = double_divide(X1,double_divide(identity,X0)),
inference(forward_demodulation,[],[f835,f265]) ).
fof(f1716,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,identity),double_divide(double_divide(identity,double_divide(double_divide(X2,identity),X1)),identity)) = double_divide(double_divide(X1,X0),X2),
inference(superposition,[],[f208,f16]) ).
fof(f1717,plain,
! [X0,X1] : double_divide(double_divide(identity,X0),X1) = double_divide(double_divide(X0,identity),double_divide(double_divide(identity,X1),identity)),
inference(superposition,[],[f66,f16]) ).
fof(f1790,plain,
! [X0,X1] : double_divide(double_divide(identity,X0),X1) = double_divide(double_divide(X0,identity),double_divide(identity,double_divide(identity,X1))),
inference(forward_demodulation,[],[f1717,f885]) ).
fof(f1791,plain,
! [X2,X0,X1] : double_divide(double_divide(X1,X0),X2) = double_divide(double_divide(X0,identity),double_divide(identity,double_divide(identity,double_divide(double_divide(X2,identity),X1)))),
inference(forward_demodulation,[],[f1716,f885]) ).
fof(f1858,plain,
! [X0,X1] : double_divide(double_divide(identity,X0),X1) = double_divide(identity,double_divide(double_divide(identity,X1),X0)),
inference(forward_demodulation,[],[f1790,f677]) ).
fof(f1859,plain,
! [X2,X0,X1] : double_divide(double_divide(X1,X0),X2) = double_divide(identity,double_divide(double_divide(identity,double_divide(double_divide(X2,identity),X1)),X0)),
inference(forward_demodulation,[],[f1791,f677]) ).
fof(f1902,plain,
! [X2,X0,X1] : double_divide(double_divide(X1,X0),X2) = double_divide(double_divide(X0,identity),double_divide(double_divide(X2,identity),X1)),
inference(forward_demodulation,[],[f1859,f688]) ).
fof(f1990,plain,
double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3)))) != double_divide(double_divide(identity,a3),double_divide(c3,b3)),
inference(superposition,[],[f138,f1858]) ).
fof(f2023,plain,
double_divide(double_divide(identity,a3),double_divide(c3,b3)) != double_divide(double_divide(b3,a3),double_divide(c3,identity)),
inference(forward_demodulation,[],[f1990,f750]) ).
fof(f2054,plain,
double_divide(double_divide(identity,a3),double_divide(c3,b3)) != double_divide(double_divide(b3,a3),double_divide(identity,c3)),
inference(forward_demodulation,[],[f2023,f885]) ).
fof(f2097,plain,
! [X2,X0,X1] : double_divide(double_divide(X2,identity),double_divide(X0,X1)) = double_divide(double_divide(X1,X2),double_divide(identity,X0)),
inference(superposition,[],[f1902,f162]) ).
fof(f3994,plain,
double_divide(double_divide(identity,a3),double_divide(c3,b3)) != double_divide(double_divide(a3,identity),double_divide(c3,b3)),
inference(superposition,[],[f2054,f2097]) ).
fof(f3995,plain,
$false,
inference(forward_subsumption_resolution,[],[f3994,f297]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP075-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.02 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Sun Sep 27 09:17:50 UTC 2026
% 0.04/0.32 % CPUTime :
% 0.04/0.32 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.33 Running first-order theorem proving
% 0.07/0.33 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.37/1.22 % (2105262)Input is clausal, will run a generic CNF schedule.
% 4.37/1.22 % (2105270)lrs+10_1_sil=8000:sp=occurrence:random_seed=4000941337:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.37/1.22 % (2105273)dis-21_1_sil=8000:lcm=predicate:random_seed=3177500313:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 4.37/1.22 % (2105271)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2723156933:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.37/1.22 % (2105268)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2584057975:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.37/1.22 % (2105272)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2430343547:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.37/1.22 % (2105269)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=293916881:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.37/1.22 % (2105267)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=51011069:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.37/1.22 % (2105273)Refutation not found, incomplete strategy
% 4.37/1.22 % (2105273)------------------------------
% 4.37/1.22 % (2105273)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.37/1.22 % (2105273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.37/1.22 % (2105273)CaDiCaL version: 2.1.3
% 4.37/1.22 % (2105273)Termination reason: Refutation not found, incomplete strategy
% 4.37/1.22 % (2105273)Time elapsed: 0.001 s
% 4.37/1.22 % (2105273)Peak memory usage: 87 MB
% 4.37/1.22 % (2105270)Instruction limit reached!
% 4.37/1.22 % (2105270)------------------------------
% 4.37/1.22 % (2105270)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.37/1.22 % (2105270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.37/1.22 % (2105270)CaDiCaL version: 2.1.3
% 4.37/1.22 % (2105270)Termination reason: Instruction limit
% 4.37/1.22 % (2105270)Termination phase: Saturation
% 4.37/1.22 % (2105270)Time elapsed: 0.034 s
% 4.37/1.22 % (2105270)Peak memory usage: 89 MB
% 4.37/1.22 % (2105270)Instructions burned: 109 (million)
% 4.37/1.22 % (2105271)Instruction limit reached!
% 4.37/1.22 % (2105271)------------------------------
% 4.37/1.22 % (2105271)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.37/1.22 % (2105271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.37/1.22 % (2105271)CaDiCaL version: 2.1.3
% 4.37/1.22 % (2105271)Termination reason: Instruction limit
% 4.37/1.22 % (2105271)Termination phase: Saturation
% 4.37/1.22 % (2105271)Time elapsed: 0.037 s
% 4.37/1.22 % (2105271)Peak memory usage: 89 MB
% 4.37/1.22 % (2105271)Instructions burned: 116 (million)
% 4.37/1.22 % (2105272)Instruction limit reached!
% 4.37/1.22 % (2105272)------------------------------
% 4.37/1.22 % (2105272)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.37/1.22 % (2105272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.37/1.22 % (2105272)CaDiCaL version: 2.1.3
% 4.37/1.22 % (2105272)Termination reason: Instruction limit
% 4.37/1.22 % (2105272)Termination phase: Saturation
% 4.37/1.22 % (2105272)Time elapsed: 0.055 s
% 4.37/1.22 % (2105272)Peak memory usage: 89 MB
% 4.37/1.22 % (2105272)Instructions burned: 180 (million)
% 4.37/1.22 % (2105281)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1711670992:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 4.37/1.22 % (2105282)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1947721917:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2998 on theBenchmark for (2998ds/189Mi)
% 4.37/1.22 % (2105281)Refutation not found, incomplete strategy
% 4.37/1.22 % (2105281)------------------------------
% 4.37/1.22 % (2105281)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.37/1.22 % (2105281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.37/1.22 % (2105281)CaDiCaL version: 2.1.3
% 4.37/1.22 % (2105281)Termination reason: Refutation not found, incomplete strategy
% 4.37/1.22 % (2105281)Time elapsed: 0.001 s
% 4.37/1.22 % (2105281)Peak memory usage: 88 MB
% 4.37/1.22 % (2105282)Refutation not found, incomplete strategy
% 4.37/1.22 % (2105282)------------------------------
% 4.37/1.22 % (2105282)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.37/1.22 % (2105282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.37/1.22 % (2105282)CaDiCaL version: 2.1.3
% 4.37/1.22 % (2105282)Termination reason: Refutation not found, incomplete strategy
% 4.37/1.22 % (2105282)Time elapsed: 0.001 s
% 4.37/1.22 % (2105282)Peak memory usage: 88 MB
% 4.37/1.22 % (2105282)Instructions burned: 1 (million)
% 4.37/1.22 % (2105283)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3458651269:st=4:i=219:sd=3:ss=axioms_2998 on theBenchmark for (2998ds/219Mi)
% 4.37/1.22 % (2105283)Refutation not found, incomplete strategy
% 4.37/1.22 % (2105283)------------------------------
% 4.37/1.22 % (2105283)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.37/1.22 % (2105283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.37/1.22 % (2105283)CaDiCaL version: 2.1.3
% 4.37/1.22 % (2105283)Termination reason: Refutation not found, incomplete strategy
% 4.37/1.22 % (2105283)Time elapsed: 0.001 s
% 4.37/1.22 % (2105283)Peak memory usage: 88 MB
% 4.37/1.22 % (2105273)------------------------------
% 4.37/1.22 % (2105273)------------------------------
% 4.37/1.22 % (2105287)lrs+10_64_to=lpo:sil=8000:random_seed=3877375590:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 4.37/1.22 % (2105281)------------------------------
% 4.37/1.22 % (2105281)------------------------------
% 4.37/1.22 % (2105282)------------------------------
% 4.37/1.22 % (2105282)------------------------------
% 4.37/1.22 % (2105287)Instruction limit reached!
% 4.37/1.22 % (2105287)------------------------------
% 4.37/1.22 % (2105287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.37/1.22 % (2105287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.37/1.22 % (2105287)CaDiCaL version: 2.1.3
% 4.37/1.22 % (2105287)Termination reason: Instruction limit
% 4.37/1.22 % (2105287)Termination phase: Saturation
% 4.37/1.22 % (2105287)Time elapsed: 0.040 s
% 4.37/1.22 % (2105287)Peak memory usage: 88 MB
% 4.37/1.22 % (2105287)Instructions burned: 129 (million)
% 4.37/1.22 % (2105283)------------------------------
% 4.37/1.22 % (2105283)------------------------------
% 4.37/1.22 % (2105289)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2468798540:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 4.37/1.22 % (2105291)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1405342182:i=3394:sd=4:ss=included:sgt=64_2996 on theBenchmark for (2996ds/3394Mi)
% 4.37/1.22 % (2105290)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3895318350:i=157:gtg=all_2996 on theBenchmark for (2996ds/157Mi)
% 4.37/1.22 % (2105292)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=3226875401:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 4.37/1.22 % (2105268)First to succeed.
% 4.37/1.22 % (2105268)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2105262"
% 4.37/1.22 % (2105292)Instruction limit reached!
% 4.37/1.22 % (2105292)------------------------------
% 4.37/1.22 % (2105292)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.37/1.22 % (2105292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.37/1.22 % (2105292)CaDiCaL version: 2.1.3
% 4.37/1.22 % (2105292)Termination reason: Instruction limit
% 4.37/1.22 % (2105292)Termination phase: Saturation
% 4.37/1.22 % (2105292)Time elapsed: 0.036 s
% 4.37/1.22 % (2105292)Peak memory usage: 90 MB
% 4.37/1.22 % (2105292)Instructions burned: 109 (million)
% 4.37/1.22 % (2105289)Instruction limit reached!
% 4.37/1.22 % (2105289)------------------------------
% 4.37/1.22 % (2105289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.37/1.22 % (2105289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.37/1.22 % (2105289)CaDiCaL version: 2.1.3
% 4.37/1.22 % (2105289)Termination reason: Instruction limit
% 4.37/1.22 % (2105289)Termination phase: Saturation
% 4.37/1.22 % (2105289)Time elapsed: 0.060 s
% 4.37/1.22 % (2105289)Peak memory usage: 89 MB
% 4.37/1.22 % (2105289)Instructions burned: 196 (million)
% 4.37/1.22 % (2105290)Instruction limit reached!
% 4.37/1.22 % (2105290)------------------------------
% 4.37/1.22 % (2105290)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.37/1.22 % (2105290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.37/1.22 % (2105290)CaDiCaL version: 2.1.3
% 4.37/1.22 % (2105290)Termination reason: Instruction limit
% 4.37/1.22 % (2105290)Termination phase: Saturation
% 4.37/1.22 % (2105290)Time elapsed: 0.047 s
% 4.37/1.22 % (2105290)Peak memory usage: 91 MB
% 4.37/1.22 % (2105290)Instructions burned: 159 (million)
% 4.37/1.22 % (2105269)Also succeeded, but the first one will report.
% 4.37/1.22 % (2105297)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1913787182:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 4.37/1.22 % (2105298)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3979904206:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2994 on theBenchmark for (2994ds/242Mi)
% 4.37/1.22 % (2105299)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=4154579698:cond=fast:i=5208:av=off_2994 on theBenchmark for (2994ds/5208Mi)
% 4.37/1.22 % (2105297)Refutation not found, incomplete strategy
% 4.37/1.22 % (2105297)------------------------------
% 4.37/1.22 % (2105297)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.37/1.22 % (2105297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.37/1.22 % (2105297)CaDiCaL version: 2.1.3
% 4.37/1.22 % (2105297)Termination reason: Refutation not found, incomplete strategy
% 4.37/1.22 % (2105297)Time elapsed: 0.001 s
% 4.37/1.22 % (2105297)Peak memory usage: 87 MB
% 4.37/1.22 % (2105268)Refutation found. Thanks to Tanya!
% 4.37/1.22 % SZS status Unsatisfiable for theBenchmark
% 4.37/1.22 % SZS output start Proof for theBenchmark
% See solution above
% 5.03/1.31 % (2105268)------------------------------
% 5.03/1.31 % (2105268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.03/1.31 % (2105268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.03/1.31 % (2105268)CaDiCaL version: 2.1.3
% 5.03/1.31 % (2105268)Termination reason: Refutation
% 5.03/1.31 % (2105268)Time elapsed: 0.412 s
% 5.03/1.31 % (2105268)Peak memory usage: 128 MB
% 5.03/1.31 % (2105268)Instructions burned: 1114 (million)
% 5.03/1.31 % (2105268)------------------------------
% 5.03/1.31 % (2105268)------------------------------
% 5.03/1.31 % (2105262)Success in time 0.685 s
% 5.03/1.31 % Vampire exiting
%------------------------------------------------------------------------------