%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP077-1 : 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 : n005.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 8.51s 2.10s
% Output : Refutation 9.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 8
% Syntax : Number of formulae : 83 ( 61 unt; 3 def)
% Number of atoms : 110 ( 76 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 53 ( 26 ~; 24 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 94 ( 0 sgn 94 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : double_divide(X0,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,X2))),X1),identity)) = 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,
( identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity)
| a2 != double_divide(double_divide(a2,identity),identity)
| 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) ),
inference(definition_unfolding,[],[f7,f2,f4,f2,f2,f2,f2,f2]) ).
fof(f11,definition,
( spl0_1
<=> 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) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f13,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)
| spl0_1 ),
inference(avatar_component_clause,[],[f11]) ).
fof(f15,definition,
( spl0_2
<=> a2 = double_divide(double_divide(a2,identity),identity) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f17,plain,
( a2 != double_divide(double_divide(a2,identity),identity)
| spl0_2 ),
inference(avatar_component_clause,[],[f15]) ).
fof(f19,definition,
( spl0_3
<=> identity = double_divide(double_divide(a1,double_divide(a1,identity)),identity) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f21,plain,
( identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity)
| spl0_3 ),
inference(avatar_component_clause,[],[f19]) ).
fof(f22,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f9,f19,f15,f11]) ).
fof(f23,plain,
! [X0,X1] : double_divide(X1,identity) = double_divide(X0,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),identity)),X1),identity)),
inference(superposition,[],[f1,f8]) ).
fof(f25,plain,
! [X0] : identity = double_divide(X0,double_divide(double_divide(double_divide(identity,identity),double_divide(X0,identity)),identity)),
inference(superposition,[],[f1,f8]) ).
fof(f26,plain,
! [X2,X0,X1] : identity = double_divide(X1,double_divide(double_divide(double_divide(identity,X0),double_divide(double_divide(identity,double_divide(double_divide(double_divide(X1,identity),identity),double_divide(X2,X0))),X2)),identity)),
inference(superposition,[],[f1,f1]) ).
fof(f27,plain,
identity = double_divide(double_divide(identity,identity),double_divide(identity,identity)),
inference(superposition,[],[f25,f8]) ).
fof(f30,plain,
! [X0,X1] : double_divide(X0,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),identity)),X1),identity)) = double_divide(double_divide(double_divide(identity,identity),double_divide(X1,identity)),identity),
inference(superposition,[],[f1,f25]) ).
fof(f32,plain,
! [X1] : double_divide(X1,identity) = double_divide(double_divide(double_divide(identity,identity),double_divide(X1,identity)),identity),
inference(forward_demodulation,[],[f30,f23]) ).
fof(f36,plain,
! [X0] : double_divide(identity,identity) = double_divide(X0,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),identity)),double_divide(identity,identity)),identity)),
inference(superposition,[],[f1,f27]) ).
fof(f37,plain,
double_divide(identity,identity) = double_divide(double_divide(identity,identity),identity),
inference(forward_demodulation,[],[f36,f23]) ).
fof(f41,plain,
! [X0,X1] : double_divide(double_divide(identity,identity),double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,identity),double_divide(X0,X1))),X0),identity)) = X1,
inference(superposition,[],[f1,f37]) ).
fof(f47,plain,
! [X0,X1] : double_divide(X0,identity) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,identity),identity),double_divide(X1,X0))),X1),identity),
inference(superposition,[],[f32,f1]) ).
fof(f51,plain,
! [X0,X1] : double_divide(X0,identity) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,identity),double_divide(X1,X0))),X1),identity),
inference(forward_demodulation,[],[f47,f37]) ).
fof(f52,plain,
! [X1] : double_divide(double_divide(identity,identity),double_divide(X1,identity)) = X1,
inference(backward_demodulation,[],[f41,f51]) ).
fof(f61,plain,
! [X0] : identity = double_divide(identity,double_divide(double_divide(double_divide(identity,X0),X0),identity)),
inference(superposition,[],[f1,f52]) ).
fof(f62,plain,
identity = double_divide(identity,identity),
inference(superposition,[],[f8,f52]) ).
fof(f63,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,identity),identity),double_divide(X0,X1))),X0) = X1,
inference(superposition,[],[f1,f52]) ).
fof(f66,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(identity,identity),double_divide(X0,X1))),X0) = X1,
inference(forward_demodulation,[],[f63,f37]) ).
fof(f70,plain,
! [X1] : double_divide(identity,double_divide(X1,identity)) = X1,
inference(backward_demodulation,[],[f52,f62]) ).
fof(f75,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(identity,double_divide(X0,X1))),X0) = X1,
inference(forward_demodulation,[],[f66,f62]) ).
fof(f76,plain,
! [X0,X1] : double_divide(X1,identity) = double_divide(X0,double_divide(double_divide(double_divide(X0,identity),X1),identity)),
inference(backward_demodulation,[],[f23,f70]) ).
fof(f77,plain,
! [X0] : identity = double_divide(double_divide(identity,X0),X0),
inference(backward_demodulation,[],[f61,f70]) ).
fof(f97,plain,
! [X0,X1] : double_divide(X0,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),identity)),double_divide(identity,X1)),identity)) = X1,
inference(superposition,[],[f1,f77]) ).
fof(f98,plain,
! [X0,X1] : double_divide(X0,double_divide(double_divide(double_divide(X0,identity),double_divide(identity,X1)),identity)) = X1,
inference(forward_demodulation,[],[f97,f70]) ).
fof(f101,plain,
! [X1] : double_divide(double_divide(identity,X1),identity) = X1,
inference(forward_demodulation,[],[f98,f76]) ).
fof(f115,plain,
! [X0] : double_divide(X0,identity) = double_divide(double_divide(identity,double_divide(identity,X0)),identity),
inference(superposition,[],[f75,f70]) ).
fof(f119,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(identity,X0)),double_divide(identity,double_divide(identity,double_divide(X1,X0)))) = X1,
inference(superposition,[],[f75,f75]) ).
fof(f124,plain,
! [X0] : double_divide(identity,double_divide(identity,X0)) = X0,
inference(superposition,[],[f101,f75]) ).
fof(f132,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X0) = X1,
inference(backward_demodulation,[],[f75,f124]) ).
fof(f134,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(identity,X0)),double_divide(X1,X0)) = X1,
inference(forward_demodulation,[],[f119,f124]) ).
fof(f137,plain,
! [X0] : double_divide(X0,identity) = double_divide(identity,X0),
inference(forward_demodulation,[],[f115,f101]) ).
fof(f141,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(forward_demodulation,[],[f134,f124]) ).
fof(f166,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))
| spl0_1 ),
inference(superposition,[],[f13,f137]) ).
fof(f178,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))
| spl0_1 ),
inference(forward_demodulation,[],[f166,f137]) ).
fof(f184,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)))
| spl0_1 ),
inference(forward_demodulation,[],[f178,f137]) ).
fof(f186,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))))
| spl0_1 ),
inference(forward_demodulation,[],[f184,f137]) ).
fof(f228,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(X1,identity),identity),double_divide(X2,X0))),X2),identity),identity) = double_divide(X1,double_divide(X0,identity)),
inference(superposition,[],[f76,f1]) ).
fof(f230,plain,
! [X0,X1] : double_divide(X1,double_divide(X0,identity)) = double_divide(double_divide(X0,double_divide(X1,identity)),identity),
inference(superposition,[],[f76,f141]) ).
fof(f253,plain,
! [X0,X1] : double_divide(X1,double_divide(X0,identity)) = double_divide(identity,double_divide(X0,double_divide(X1,identity))),
inference(forward_demodulation,[],[f230,f137]) ).
fof(f255,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(X0,identity)) = double_divide(identity,double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(X1,identity),identity),double_divide(X2,X0))),X2),identity)),
inference(forward_demodulation,[],[f228,f137]) ).
fof(f267,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(double_divide(X1,identity),identity),double_divide(X2,X0))),X2) = double_divide(X1,double_divide(X0,identity)),
inference(forward_demodulation,[],[f255,f141]) ).
fof(f275,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(X0,identity)) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(X1,identity)),double_divide(X2,X0))),X2),
inference(forward_demodulation,[],[f267,f137]) ).
fof(f278,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(X0,identity)) = double_divide(double_divide(identity,double_divide(X1,double_divide(X2,X0))),X2),
inference(forward_demodulation,[],[f275,f141]) ).
fof(f284,plain,
! [X0,X1] : identity = double_divide(X1,double_divide(double_divide(double_divide(identity,X0),double_divide(double_divide(double_divide(X1,identity),identity),double_divide(X0,identity))),identity)),
inference(backward_demodulation,[],[f26,f278]) ).
fof(f288,plain,
! [X0,X1] : identity = double_divide(X1,double_divide(identity,double_divide(double_divide(identity,X0),double_divide(double_divide(double_divide(X1,identity),identity),double_divide(X0,identity))))),
inference(forward_demodulation,[],[f284,f137]) ).
fof(f291,plain,
! [X0,X1] : identity = double_divide(X1,double_divide(identity,double_divide(double_divide(identity,X0),double_divide(double_divide(identity,double_divide(X1,identity)),double_divide(X0,identity))))),
inference(forward_demodulation,[],[f288,f137]) ).
fof(f294,plain,
! [X0,X1] : identity = double_divide(X1,double_divide(identity,double_divide(double_divide(identity,X0),double_divide(X1,double_divide(X0,identity))))),
inference(forward_demodulation,[],[f291,f141]) ).
fof(f383,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(identity,X0),double_divide(X1,double_divide(X0,identity)))),identity) = X1,
inference(superposition,[],[f141,f294]) ).
fof(f393,plain,
! [X0,X1] : double_divide(identity,double_divide(identity,double_divide(double_divide(identity,X0),double_divide(X1,double_divide(X0,identity))))) = X1,
inference(forward_demodulation,[],[f383,f137]) ).
fof(f417,plain,
! [X0,X1] : double_divide(double_divide(identity,X0),double_divide(X1,double_divide(X0,identity))) = X1,
inference(forward_demodulation,[],[f393,f124]) ).
fof(f462,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,identity)) = double_divide(X0,double_divide(identity,X1)),
inference(superposition,[],[f132,f417]) ).
fof(f3173,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,double_divide(X1,X0)),X2) = double_divide(X1,double_divide(double_divide(X0,X2),identity)),
inference(superposition,[],[f278,f141]) ).
fof(f3354,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,double_divide(X1,X0)),X2) = double_divide(X1,double_divide(identity,double_divide(X0,X2))),
inference(forward_demodulation,[],[f3173,f462]) ).
fof(f3455,plain,
( double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3)))) != double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3))))
| spl0_1 ),
inference(backward_demodulation,[],[f186,f3354]) ).
fof(f3456,plain,
( $false
| spl0_1 ),
inference(trivial_inequality_removal,[],[f3455]) ).
fof(f3457,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f3456]) ).
fof(f3604,plain,
( a2 != double_divide(identity,double_divide(a2,identity))
| spl0_2 ),
inference(forward_demodulation,[],[f17,f137]) ).
fof(f3606,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f3604,f141]) ).
fof(f3607,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f3606]) ).
fof(f3612,plain,
( identity != double_divide(identity,double_divide(a1,double_divide(a1,identity)))
| spl0_3 ),
inference(forward_demodulation,[],[f21,f137]) ).
fof(f3613,plain,
( identity != double_divide(a1,double_divide(a1,identity))
| spl0_3 ),
inference(forward_demodulation,[],[f3612,f253]) ).
fof(f3614,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f3613,f8]) ).
fof(f3615,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f3614]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f22]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f3457]) ).
cnf(s3,plain,
spl0_2,
inference(sat_conversion,[],[f3607]) ).
cnf(s4,plain,
spl0_3,
inference(sat_conversion,[],[f3615]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s4,s3,s2]) ).
fof(f3616,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP077-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n005.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 09:18:02 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.42 Running first-order theorem proving
% 0.15/0.42 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
% 8.51/2.10 % (3723600)Input is clausal, will run a generic CNF schedule.
% 8.51/2.10 % (3723696)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=4267245451:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 8.51/2.10 % (3723704)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3359370658:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 8.51/2.10 % (3723697)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=442195132:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 8.51/2.10 % (3723702)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3458861634:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 8.51/2.10 % (3723706)dis-21_1_sil=8000:lcm=predicate:random_seed=3908982336: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)
% 8.51/2.10 % (3723703)lrs+10_1_sil=8000:sp=occurrence:random_seed=1838265829:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 8.51/2.10 % (3723705)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3676551229:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 8.51/2.10 % (3723706)Refutation not found, incomplete strategy
% 8.51/2.10 % (3723706)------------------------------
% 8.51/2.10 % (3723706)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.51/2.10 % (3723706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/2.10 % (3723706)CaDiCaL version: 2.1.3
% 8.51/2.10 % (3723706)Termination reason: Refutation not found, incomplete strategy
% 8.51/2.10 % (3723706)Time elapsed: 0.001 s
% 8.51/2.10 % (3723706)Peak memory usage: 88 MB
% 8.51/2.10 % (3723703)Instruction limit reached!
% 8.51/2.10 % (3723703)------------------------------
% 8.51/2.10 % (3723703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.51/2.10 % (3723703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/2.10 % (3723703)CaDiCaL version: 2.1.3
% 8.51/2.10 % (3723703)Termination reason: Instruction limit
% 8.51/2.10 % (3723703)Termination phase: Saturation
% 8.51/2.10 % (3723703)Time elapsed: 0.065 s
% 8.51/2.10 % (3723703)Peak memory usage: 89 MB
% 8.51/2.10 % (3723703)Instructions burned: 108 (million)
% 8.51/2.10 % (3723704)Instruction limit reached!
% 8.51/2.10 % (3723704)------------------------------
% 8.51/2.10 % (3723704)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.51/2.10 % (3723704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/2.10 % (3723704)CaDiCaL version: 2.1.3
% 8.51/2.10 % (3723704)Termination reason: Instruction limit
% 8.51/2.10 % (3723704)Termination phase: Saturation
% 8.51/2.10 % (3723704)Time elapsed: 0.070 s
% 8.51/2.10 % (3723704)Peak memory usage: 89 MB
% 8.51/2.10 % (3723704)Instructions burned: 115 (million)
% 8.51/2.10 % (3723705)Instruction limit reached!
% 8.51/2.10 % (3723705)------------------------------
% 8.51/2.10 % (3723705)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.51/2.10 % (3723705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/2.10 % (3723705)CaDiCaL version: 2.1.3
% 8.51/2.10 % (3723705)Termination reason: Instruction limit
% 8.51/2.10 % (3723705)Termination phase: Saturation
% 8.51/2.10 % (3723705)Time elapsed: 0.103 s
% 8.51/2.10 % (3723705)Peak memory usage: 90 MB
% 8.51/2.10 % (3723705)Instructions burned: 182 (million)
% 8.51/2.10 % (3723721)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2226838046:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 8.51/2.10 % (3723720)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=2026774358:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 8.51/2.10 % (3723720)Refutation not found, incomplete strategy
% 8.51/2.10 % (3723720)------------------------------
% 8.51/2.10 % (3723720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.51/2.10 % (3723720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/2.10 % (3723721)Refutation not found, incomplete strategy
% 8.51/2.10 % (3723721)------------------------------
% 8.51/2.10 % (3723721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.51/2.10 % (3723720)CaDiCaL version: 2.1.3
% 8.51/2.10 % (3723721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/2.10 % (3723720)Termination reason: Refutation not found, incomplete strategy
% 8.51/2.10 % (3723720)Time elapsed: 0.002 s
% 8.51/2.10 % (3723720)Peak memory usage: 88 MB
% 8.51/2.10 % (3723721)CaDiCaL version: 2.1.3
% 8.51/2.10 % (3723721)Termination reason: Refutation not found, incomplete strategy
% 8.51/2.10 % (3723721)Time elapsed: 0.002 s
% 8.51/2.10 % (3723721)Peak memory usage: 88 MB
% 8.51/2.10 % (3723706)------------------------------
% 8.51/2.10 % (3723706)------------------------------
% 8.51/2.10 % (3723722)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2333784475:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 8.51/2.10 % (3723722)Refutation not found, incomplete strategy
% 8.51/2.10 % (3723722)------------------------------
% 8.51/2.10 % (3723722)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.51/2.10 % (3723722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/2.10 % (3723722)CaDiCaL version: 2.1.3
% 8.51/2.10 % (3723722)Termination reason: Refutation not found, incomplete strategy
% 8.51/2.10 % (3723722)Time elapsed: 0.002 s
% 8.51/2.10 % (3723722)Peak memory usage: 88 MB
% 8.51/2.10 % (3723753)lrs+10_64_to=lpo:sil=8000:random_seed=629718892:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 8.51/2.10 % (3723753)Instruction limit reached!
% 8.51/2.10 % (3723753)------------------------------
% 8.51/2.10 % (3723753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.51/2.10 % (3723753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/2.10 % (3723753)CaDiCaL version: 2.1.3
% 8.51/2.10 % (3723753)Termination reason: Instruction limit
% 8.51/2.10 % (3723753)Termination phase: Saturation
% 8.51/2.10 % (3723753)Time elapsed: 0.068 s
% 8.51/2.10 % (3723753)Peak memory usage: 88 MB
% 8.51/2.10 % (3723753)Instructions burned: 128 (million)
% 8.51/2.10 % (3723722)------------------------------
% 8.51/2.10 % (3723722)------------------------------
% 8.51/2.10 % (3723721)------------------------------
% 8.51/2.10 % (3723721)------------------------------
% 8.51/2.10 % (3723720)------------------------------
% 8.51/2.10 % (3723720)------------------------------
% 8.51/2.10 % (3723767)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1120064495:avsq=on:i=194:fgj=on:bd=preordered_2992 on theBenchmark for (2992ds/194Mi)
% 8.51/2.10 % (3723769)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1348613016:i=3394:sd=4:ss=included:sgt=64_2991 on theBenchmark for (2991ds/3394Mi)
% 8.51/2.10 % (3723767)First to succeed.
% 8.51/2.10 % (3723767)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3723600"
% 8.51/2.10 % (3723768)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1426303425:i=157:gtg=all_2991 on theBenchmark for (2991ds/157Mi)
% 8.51/2.10 % (3723770)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=234959705:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2991 on theBenchmark for (2991ds/106Mi)
% 8.51/2.10 % (3723770)Instruction limit reached!
% 8.51/2.10 % (3723770)------------------------------
% 8.51/2.10 % (3723770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.51/2.10 % (3723770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/2.10 % (3723770)CaDiCaL version: 2.1.3
% 8.51/2.10 % (3723770)Termination reason: Instruction limit
% 8.51/2.10 % (3723770)Termination phase: Saturation
% 8.51/2.10 % (3723770)Time elapsed: 0.066 s
% 8.51/2.10 % (3723770)Peak memory usage: 89 MB
% 8.51/2.10 % (3723770)Instructions burned: 107 (million)
% 8.51/2.10 % (3723697)Also succeeded, but the first one will report.
% 8.51/2.10 % (3723768)Instruction limit reached!
% 8.51/2.10 % (3723768)------------------------------
% 8.51/2.10 % (3723768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.51/2.10 % (3723768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/2.10 % (3723768)CaDiCaL version: 2.1.3
% 8.51/2.10 % (3723768)Termination reason: Instruction limit
% 8.51/2.10 % (3723768)Termination phase: Saturation
% 8.51/2.10 % (3723768)Time elapsed: 0.093 s
% 8.51/2.10 % (3723768)Peak memory usage: 92 MB
% 8.51/2.10 % (3723768)Instructions burned: 158 (million)
% 8.51/2.10 % (3723767)Refutation found. Thanks to Tanya!
% 8.51/2.10 % SZS status Unsatisfiable for theBenchmark
% 8.51/2.10 % SZS output start Proof for theBenchmark
% See solution above
% 9.10/2.29 % (3723767)------------------------------
% 9.10/2.29 % (3723767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.10/2.29 % (3723767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.10/2.29 % (3723767)CaDiCaL version: 2.1.3
% 9.10/2.29 % (3723767)Termination reason: Refutation
% 9.10/2.29 % (3723767)Time elapsed: 0.062 s
% 9.10/2.29 % (3723767)Peak memory usage: 90 MB
% 9.10/2.29 % (3723767)Instructions burned: 155 (million)
% 9.10/2.29 % (3723767)------------------------------
% 9.10/2.29 % (3723767)------------------------------
% 9.10/2.29 % (3723600)Success in time 1.219 s
% 9.10/2.29 % Vampire exiting
%------------------------------------------------------------------------------