%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP106-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:16:40 AM UTC 2026
% Result : Unsatisfiable 0.44s 0.55s
% Output : Refutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 7
% Syntax : Number of formulae : 80 ( 52 unt; 4 def)
% Number of atoms : 118 ( 73 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 73 ( 35 ~; 34 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 115 ( 0 sgn 115 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : inverse(double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(double_divide(X2,X1)))))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,negated_conjecture,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
fof(f4,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(reorient_equations,[],[f3]) ).
fof(f5,plain,
( inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1)))
| a2 != inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2)))))
| inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(inverse(double_divide(c3,b3)),a3))
| inverse(double_divide(b4,a4)) != inverse(double_divide(a4,b4)) ),
inference(definition_unfolding,[],[f4,f2,f2,f2,f2,f2,f2,f2,f2,f2,f2]) ).
fof(f7,definition,
( spl0_1
<=> inverse(double_divide(b4,a4)) = inverse(double_divide(a4,b4)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f9,plain,
( inverse(double_divide(b4,a4)) != inverse(double_divide(a4,b4))
| spl0_1 ),
inference(avatar_component_clause,[],[f7]) ).
fof(f11,definition,
( spl0_2
<=> inverse(double_divide(c3,inverse(double_divide(b3,a3)))) = inverse(double_divide(inverse(double_divide(c3,b3)),a3)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f13,plain,
( inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(inverse(double_divide(c3,b3)),a3))
| spl0_2 ),
inference(avatar_component_clause,[],[f11]) ).
fof(f15,definition,
( spl0_3
<=> a2 = inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2))))) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f17,plain,
( a2 != inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2)))))
| spl0_3 ),
inference(avatar_component_clause,[],[f15]) ).
fof(f19,definition,
( spl0_4
<=> inverse(double_divide(a1,inverse(a1))) = inverse(double_divide(b1,inverse(b1))) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f21,plain,
( inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1)))
| spl0_4 ),
inference(avatar_component_clause,[],[f19]) ).
fof(f22,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f5,f19,f15,f11,f7]) ).
fof(f23,plain,
! [X2,X3,X0,X1] : double_divide(X2,X3) = inverse(double_divide(double_divide(X1,inverse(double_divide(X2,inverse(double_divide(X0,X3))))),inverse(double_divide(X1,X0)))),
inference(superposition,[],[f1,f1]) ).
fof(f24,plain,
! [X2,X0,X1] : inverse(double_divide(double_divide(double_divide(X1,X2),inverse(double_divide(X0,X2))),X0)) = X1,
inference(superposition,[],[f1,f1]) ).
fof(f27,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(X0,X3),inverse(double_divide(X2,X3))) = inverse(double_divide(double_divide(X1,X2),inverse(double_divide(X1,X0)))),
inference(superposition,[],[f1,f24]) ).
fof(f59,plain,
! [X2,X0,X1] : double_divide(double_divide(inverse(double_divide(X0,X1)),X2),inverse(double_divide(X1,X2))) = X0,
inference(superposition,[],[f27,f1]) ).
fof(f63,plain,
! [X2,X0,X1] : inverse(double_divide(inverse(double_divide(double_divide(X0,X1),inverse(double_divide(X0,X2)))),X1)) = X2,
inference(superposition,[],[f24,f27]) ).
fof(f104,plain,
! [X2,X0,X1] : inverse(double_divide(double_divide(double_divide(inverse(double_divide(X0,X1)),X2),X2),inverse(X0))) = X1,
inference(superposition,[],[f1,f59]) ).
fof(f129,plain,
! [X2,X0,X1] : inverse(double_divide(inverse(inverse(double_divide(double_divide(X0,X1),inverse(double_divide(X0,X1))))),X2)) = X2,
inference(superposition,[],[f63,f27]) ).
fof(f205,plain,
! [X3,X0,X1] : inverse(double_divide(inverse(double_divide(double_divide(X0,X1),inverse(double_divide(X0,X1)))),X3)) = X3,
inference(superposition,[],[f129,f27]) ).
fof(f300,plain,
! [X3,X0,X1] : inverse(double_divide(double_divide(double_divide(X0,X1),inverse(double_divide(X0,X1))),X3)) = X3,
inference(superposition,[],[f205,f27]) ).
fof(f408,plain,
! [X3,X0] : inverse(double_divide(double_divide(X0,inverse(X0)),X3)) = X3,
inference(superposition,[],[f300,f59]) ).
fof(f480,plain,
! [X0,X1] : inverse(double_divide(X1,inverse(double_divide(X0,inverse(X1))))) = X0,
inference(superposition,[],[f408,f1]) ).
fof(f487,plain,
! [X0,X1] : inverse(double_divide(inverse(double_divide(X0,X1)),inverse(X0))) = X1,
inference(superposition,[],[f63,f408]) ).
fof(f537,plain,
! [X0,X1] : inverse(double_divide(X0,inverse(X0))) = double_divide(X1,inverse(X1)),
inference(superposition,[],[f480,f408]) ).
fof(f549,plain,
! [X0,X1] : inverse(double_divide(double_divide(X0,inverse(X1)),X0)) = X1,
inference(superposition,[],[f480,f480]) ).
fof(f551,plain,
! [X0,X1] : inverse(double_divide(X0,inverse(double_divide(X1,inverse(X1))))) = X0,
inference(superposition,[],[f480,f408]) ).
fof(f612,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f549,f59]) ).
fof(f614,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X1) = X0,
inference(superposition,[],[f549,f24]) ).
fof(f632,plain,
! [X0,X1] : inverse(double_divide(X1,X0)) = double_divide(inverse(X1),inverse(X0)),
inference(superposition,[],[f480,f549]) ).
fof(f642,plain,
! [X0,X1] : inverse(X0) = double_divide(double_divide(X1,inverse(X1)),X0),
inference(superposition,[],[f612,f408]) ).
fof(f718,plain,
! [X0,X1] : inverse(double_divide(X1,inverse(X0))) = double_divide(X0,inverse(X1)),
inference(superposition,[],[f480,f614]) ).
fof(f764,plain,
! [X0,X1] : inverse(inverse(double_divide(X0,inverse(inverse(double_divide(X1,X0)))))) = X1,
inference(superposition,[],[f59,f642]) ).
fof(f824,plain,
! [X0,X1] : double_divide(X0,inverse(inverse(double_divide(X1,X0)))) = X1,
inference(forward_demodulation,[],[f764,f612]) ).
fof(f856,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(forward_demodulation,[],[f824,f612]) ).
fof(f866,plain,
! [X0,X1] : double_divide(X0,X1) = double_divide(X1,X0),
inference(superposition,[],[f856,f614]) ).
fof(f978,plain,
( inverse(double_divide(a4,b4)) != inverse(double_divide(a4,b4))
| spl0_1 ),
inference(superposition,[],[f9,f866]) ).
fof(f1040,plain,
( $false
| spl0_1 ),
inference(trivial_inequality_removal,[],[f978]) ).
fof(f1041,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f1040]) ).
fof(f1112,plain,
( inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(a3,inverse(double_divide(c3,b3))))
| spl0_2 ),
inference(forward_demodulation,[],[f13,f866]) ).
fof(f1113,plain,
( inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(a3,inverse(double_divide(b3,c3))))
| spl0_2 ),
inference(forward_demodulation,[],[f1112,f866]) ).
fof(f1114,plain,
( inverse(double_divide(a3,inverse(double_divide(b3,c3)))) != inverse(double_divide(c3,inverse(double_divide(a3,b3))))
| spl0_2 ),
inference(forward_demodulation,[],[f1113,f866]) ).
fof(f1901,plain,
! [X2,X3,X0,X1] : double_divide(X2,X3) = inverse(double_divide(inverse(double_divide(X1,X0)),double_divide(X1,inverse(double_divide(X2,inverse(double_divide(X0,X3))))))),
inference(forward_demodulation,[],[f23,f866]) ).
fof(f1902,plain,
! [X0,X1] : inverse(double_divide(inverse(X0),inverse(double_divide(X0,X1)))) = X1,
inference(forward_demodulation,[],[f487,f866]) ).
fof(f1981,plain,
! [X2,X0,X1] : inverse(double_divide(X1,X0)) = inverse(double_divide(double_divide(double_divide(X0,X2),X2),inverse(inverse(X1)))),
inference(superposition,[],[f104,f1902]) ).
fof(f2014,plain,
! [X2,X0,X1] : inverse(double_divide(X1,X0)) = inverse(double_divide(double_divide(double_divide(X0,X2),X2),X1)),
inference(forward_demodulation,[],[f1981,f612]) ).
fof(f2057,plain,
! [X0,X1] : inverse(double_divide(X1,X0)) = inverse(double_divide(X0,X1)),
inference(forward_demodulation,[],[f2014,f614]) ).
fof(f3146,plain,
! [X0,X1] : double_divide(X0,inverse(X1)) = inverse(double_divide(inverse(X0),X1)),
inference(superposition,[],[f632,f612]) ).
fof(f6305,plain,
! [X2,X3,X0,X1] : double_divide(X2,X3) = double_divide(double_divide(X1,X0),inverse(double_divide(X1,inverse(double_divide(X2,inverse(double_divide(X0,X3))))))),
inference(forward_demodulation,[],[f1901,f3146]) ).
fof(f6306,plain,
! [X2,X3,X0,X1] : double_divide(X2,X3) = double_divide(double_divide(X1,X0),double_divide(double_divide(X2,inverse(double_divide(X0,X3))),inverse(X1))),
inference(forward_demodulation,[],[f6305,f718]) ).
fof(f6424,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(inverse(double_divide(X0,X1)),X2),X2) = double_divide(double_divide(X3,X1),double_divide(X0,inverse(X3))),
inference(superposition,[],[f6306,f59]) ).
fof(f6584,plain,
! [X3,X0,X1] : inverse(double_divide(X0,X1)) = double_divide(double_divide(X3,X1),double_divide(X0,inverse(X3))),
inference(forward_demodulation,[],[f6424,f614]) ).
fof(f6815,plain,
! [X2,X0,X1] : double_divide(X0,X2) = inverse(double_divide(double_divide(X0,inverse(double_divide(X1,X2))),X1)),
inference(superposition,[],[f6306,f6584]) ).
fof(f6887,plain,
! [X2,X0,X1] : double_divide(X0,X2) = inverse(double_divide(X1,double_divide(X0,inverse(double_divide(X1,X2))))),
inference(forward_demodulation,[],[f6815,f2057]) ).
fof(f7086,plain,
! [X2,X3,X0,X1] : double_divide(X0,inverse(double_divide(X2,X1))) = inverse(double_divide(double_divide(double_divide(double_divide(X0,X1),X3),X3),inverse(X2))),
inference(superposition,[],[f104,f6887]) ).
fof(f7168,plain,
! [X2,X3,X0,X1] : double_divide(X0,inverse(double_divide(X2,X1))) = double_divide(X2,inverse(double_divide(double_divide(double_divide(X0,X1),X3),X3))),
inference(forward_demodulation,[],[f7086,f718]) ).
fof(f7233,plain,
! [X2,X3,X0,X1] : double_divide(X0,inverse(double_divide(X2,X1))) = double_divide(X2,inverse(double_divide(X3,double_divide(double_divide(X0,X1),X3)))),
inference(forward_demodulation,[],[f7168,f2057]) ).
fof(f7259,plain,
! [X2,X0,X1] : double_divide(X0,inverse(double_divide(X2,X1))) = double_divide(X2,inverse(double_divide(X0,X1))),
inference(forward_demodulation,[],[f7233,f856]) ).
fof(f8615,plain,
( inverse(double_divide(a3,inverse(double_divide(c3,b3)))) != inverse(double_divide(a3,inverse(double_divide(b3,c3))))
| spl0_2 ),
inference(superposition,[],[f1114,f7259]) ).
fof(f8825,plain,
( inverse(double_divide(a3,inverse(double_divide(c3,b3)))) != double_divide(double_divide(b3,c3),inverse(a3))
| spl0_2 ),
inference(forward_demodulation,[],[f8615,f718]) ).
fof(f9112,plain,
( inverse(double_divide(a3,inverse(double_divide(c3,b3)))) != double_divide(inverse(a3),double_divide(b3,c3))
| spl0_2 ),
inference(forward_demodulation,[],[f8825,f866]) ).
fof(f9291,plain,
( double_divide(inverse(a3),double_divide(b3,c3)) != double_divide(double_divide(c3,b3),inverse(a3))
| spl0_2 ),
inference(forward_demodulation,[],[f9112,f718]) ).
fof(f9382,plain,
( double_divide(inverse(a3),double_divide(b3,c3)) != double_divide(inverse(a3),double_divide(c3,b3))
| spl0_2 ),
inference(forward_demodulation,[],[f9291,f866]) ).
fof(f9427,plain,
( double_divide(inverse(a3),double_divide(b3,c3)) != double_divide(inverse(a3),double_divide(b3,c3))
| spl0_2 ),
inference(forward_demodulation,[],[f9382,f866]) ).
fof(f9428,plain,
( $false
| spl0_2 ),
inference(trivial_inequality_removal,[],[f9427]) ).
fof(f9429,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f9428]) ).
fof(f9452,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f17,f551]) ).
fof(f9453,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f9452]) ).
fof(f9459,plain,
( inverse(double_divide(a1,inverse(a1))) != double_divide(b1,inverse(b1))
| spl0_4 ),
inference(forward_demodulation,[],[f21,f718]) ).
fof(f9460,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f9459,f537]) ).
fof(f9461,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f9460]) ).
cnf(s4,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f22]) ).
cnf(s754,plain,
spl0_1,
inference(sat_conversion,[],[f1041]) ).
cnf(s2748,plain,
spl0_2,
inference(sat_conversion,[],[f9429]) ).
cnf(s2775,plain,
spl0_3,
inference(sat_conversion,[],[f9453]) ).
cnf(s2777,plain,
spl0_4,
inference(sat_conversion,[],[f9461]) ).
cnf(s2778,plain,
$false,
inference(rat,[],[s4,s2777,s2775,s2748,s754]) ).
fof(f9462,plain,
$false,
inference(avatar_sat_refutation,[],[s2778]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP106-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n017.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 09:14:49 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.44/0.55 % (2278921)Will run a generic schedule for satisfiability detection.
% 0.44/0.55 % (2278928)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1849034679:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.44/0.55 % (2278926)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2617067938_2999 on theBenchmark for (2999ds/0Mi)
% 0.44/0.55 % (2278929)dis+10_1_sil=32000:sp=arity:random_seed=195356652:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.44/0.55 % (2278932)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3501238695:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.44/0.55 % (2278930)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3841565754:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.44/0.55 % (2278931)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2280366264:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.44/0.55 % TRYING [1]
% 0.44/0.55 % TRYING [2]
% 0.44/0.55 % TRYING [3]
% 0.44/0.55 % (2278927)% WARNING: option uhcvi not known.
% 0.44/0.55 % (2278927)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=285857978:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.44/0.55 % TRYING [4]
% 0.44/0.55 % (2278929)Instruction limit reached!
% 0.44/0.55 % (2278929)------------------------------
% 0.44/0.55 % (2278929)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.44/0.55 % (2278929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.44/0.55 % (2278929)CaDiCaL version: 2.1.3
% 0.44/0.55 % (2278929)Termination reason: Instruction limit
% 0.44/0.55 % (2278929)Termination phase: Saturation
% 0.44/0.55 % (2278929)Time elapsed: 0.057 s
% 0.44/0.55 % (2278929)Peak memory usage: 12 MB
% 0.44/0.55 % (2278929)Instructions burned: 104 (million)
% 0.44/0.55 % (2278930)Instruction limit reached!
% 0.44/0.55 % (2278930)------------------------------
% 0.44/0.55 % (2278930)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.44/0.55 % (2278930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.44/0.55 % (2278930)CaDiCaL version: 2.1.3
% 0.44/0.55 % (2278930)Termination reason: Instruction limit
% 0.44/0.55 % (2278930)Termination phase: Saturation
% 0.44/0.55 % (2278930)Time elapsed: 0.072 s
% 0.44/0.55 % (2278930)Peak memory usage: 13 MB
% 0.44/0.55 % (2278930)Instructions burned: 117 (million)
% 0.44/0.55 % (2278940)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3708411693:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.44/0.55 % TRYING [1]
% 0.44/0.55 % TRYING [2]
% 0.44/0.55 % TRYING [3]
% 0.44/0.55 % (2278931)Instruction limit reached!
% 0.44/0.55 % (2278931)------------------------------
% 0.44/0.55 % (2278931)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.44/0.55 % (2278931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.44/0.55 % (2278931)CaDiCaL version: 2.1.3
% 0.44/0.55 % (2278931)Termination reason: Instruction limit
% 0.44/0.55 % (2278931)Termination phase: Saturation
% 0.44/0.55 % (2278931)Time elapsed: 0.081 s
% 0.44/0.55 % (2278931)Peak memory usage: 13 MB
% 0.44/0.55 % (2278931)Instructions burned: 132 (million)
% 0.44/0.55 % (2278941)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1958707661:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.44/0.55 % (2278928) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2278921-2278928"...
% 0.44/0.55 % (2278928)...printing done.
% 0.44/0.55 % (2278928)Refutation found. Thanks to Tanya!
% 0.44/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.44/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.44/0.55 % (2278928)------------------------------
% 0.44/0.55 % (2278928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.44/0.55 % (2278928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.44/0.55 % (2278928)CaDiCaL version: 2.1.3
% 0.44/0.55 % (2278928)Termination reason: Refutation
% 0.44/0.55 % (2278928)Time elapsed: 0.103 s
% 0.44/0.55 % (2278928)Peak memory usage: 16 MB
% 0.44/0.55 % (2278928)Instructions burned: 351 (million)
% 0.44/0.55 % (2278921)Success in time 0.128 s
% 0.44/0.55 % Vampire exiting
%------------------------------------------------------------------------------