%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP110-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 10:16:41 AM UTC 2026
% Result : Unsatisfiable 4.12s 1.05s
% Output : Refutation 4.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 7
% Syntax : Number of formulae : 90 ( 66 unt; 4 def)
% Number of atoms : 124 ( 83 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 65 ( 31 ~; 30 |; 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 : 149 ( 0 sgn 149 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : inverse(double_divide(inverse(double_divide(inverse(double_divide(X0,X1)),X2)),double_divide(X0,X2))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
file('/export/starexec/sandbox2/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/sandbox2/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(X1,X2) = inverse(double_divide(inverse(double_divide(X0,X3)),double_divide(inverse(double_divide(inverse(double_divide(X1,X0)),X2)),X3))),
inference(superposition,[],[f1,f1]) ).
fof(f24,plain,
! [X2,X0,X1] : inverse(double_divide(X0,double_divide(inverse(double_divide(X1,X0)),double_divide(X1,X2)))) = X2,
inference(superposition,[],[f1,f1]) ).
fof(f40,plain,
! [X2,X0,X1] : double_divide(X0,inverse(double_divide(X1,double_divide(inverse(double_divide(X0,X1)),X2)))) = X2,
inference(superposition,[],[f24,f23]) ).
fof(f50,plain,
! [X2,X0,X1] : double_divide(inverse(double_divide(X0,X1)),double_divide(X0,inverse(double_divide(X1,X2)))) = X2,
inference(superposition,[],[f40,f23]) ).
fof(f71,plain,
! [X2,X0,X1] : inverse(double_divide(inverse(X0),double_divide(X1,double_divide(X1,inverse(double_divide(X2,X0)))))) = X2,
inference(superposition,[],[f1,f50]) ).
fof(f87,plain,
! [X2,X3,X0,X1] : inverse(double_divide(inverse(double_divide(X1,X0)),X2)) = inverse(double_divide(inverse(double_divide(X1,X2)),double_divide(X3,double_divide(X3,X0)))),
inference(superposition,[],[f71,f1]) ).
fof(f94,plain,
! [X2,X0,X1] : double_divide(X1,X0) = double_divide(inverse(double_divide(X1,inverse(X2))),inverse(double_divide(X0,X2))),
inference(superposition,[],[f40,f71]) ).
fof(f117,plain,
! [X2,X0,X1] : inverse(double_divide(X1,X2)) = double_divide(X0,inverse(double_divide(inverse(X2),double_divide(X0,X1)))),
inference(superposition,[],[f40,f94]) ).
fof(f145,plain,
! [X2,X3,X0,X1] : inverse(double_divide(inverse(double_divide(X1,X2)),X3)) = double_divide(inverse(double_divide(X0,inverse(X2))),inverse(double_divide(inverse(X3),double_divide(X0,X1)))),
inference(superposition,[],[f117,f94]) ).
fof(f147,plain,
! [X2,X0,X1] : double_divide(X2,X0) = inverse(double_divide(X1,double_divide(inverse(double_divide(X2,X0)),X1))),
inference(superposition,[],[f117,f1]) ).
fof(f150,plain,
! [X2,X0,X1] : inverse(double_divide(double_divide(X1,X0),X2)) = double_divide(inverse(double_divide(X1,inverse(X2))),X0),
inference(superposition,[],[f117,f24]) ).
fof(f173,plain,
! [X2,X3,X0,X1] : inverse(double_divide(inverse(double_divide(X1,X2)),X3)) = inverse(double_divide(double_divide(X0,inverse(double_divide(inverse(X3),double_divide(X0,X1)))),X2)),
inference(forward_demodulation,[],[f145,f150]) ).
fof(f177,plain,
! [X2,X3,X1] : inverse(double_divide(inverse(double_divide(X1,X3)),X2)) = inverse(double_divide(inverse(double_divide(X1,X2)),X3)),
inference(forward_demodulation,[],[f173,f117]) ).
fof(f183,plain,
! [X3,X0] : inverse(double_divide(X3,double_divide(inverse(X0),X3))) = X0,
inference(superposition,[],[f147,f50]) ).
fof(f194,plain,
! [X0,X1] : double_divide(X0,X1) = inverse(inverse(double_divide(X0,X1))),
inference(superposition,[],[f147,f50]) ).
fof(f197,plain,
! [X0,X1] : double_divide(X0,double_divide(X0,X1)) = X1,
inference(superposition,[],[f40,f147]) ).
fof(f225,plain,
! [X2,X0,X1] : double_divide(X2,inverse(double_divide(X0,X1))) = inverse(double_divide(inverse(X1),double_divide(X2,X0))),
inference(superposition,[],[f197,f117]) ).
fof(f238,plain,
! [X2,X0,X1] : inverse(double_divide(inverse(double_divide(X1,X0)),double_divide(X2,double_divide(X2,inverse(X0))))) = X1,
inference(superposition,[],[f71,f197]) ).
fof(f240,plain,
! [X2,X0,X1] : inverse(double_divide(double_divide(X1,X0),X2)) = double_divide(X1,inverse(double_divide(inverse(X2),X0))),
inference(superposition,[],[f117,f197]) ).
fof(f241,plain,
! [X2,X0,X1] : double_divide(inverse(double_divide(X1,X2)),X0) = double_divide(X1,inverse(double_divide(X2,X0))),
inference(superposition,[],[f40,f197]) ).
fof(f245,plain,
! [X0,X1] : inverse(double_divide(inverse(X0),inverse(double_divide(X1,X0)))) = X1,
inference(superposition,[],[f71,f197]) ).
fof(f246,plain,
! [X0,X1] : inverse(double_divide(X0,X1)) = double_divide(inverse(X1),inverse(X0)),
inference(superposition,[],[f117,f197]) ).
fof(f247,plain,
! [X0,X1] : inverse(inverse(double_divide(double_divide(X1,X0),X0))) = X1,
inference(forward_demodulation,[],[f245,f246]) ).
fof(f250,plain,
! [X0,X1] : inverse(double_divide(inverse(double_divide(X1,inverse(X0))),X0)) = X1,
inference(forward_demodulation,[],[f238,f87]) ).
fof(f260,plain,
! [X0,X1] : double_divide(double_divide(X1,X0),X0) = X1,
inference(forward_demodulation,[],[f247,f194]) ).
fof(f262,plain,
! [X0,X1] : inverse(double_divide(inverse(double_divide(X1,X0)),inverse(X0))) = X1,
inference(forward_demodulation,[],[f250,f177]) ).
fof(f268,plain,
! [X0,X1] : inverse(double_divide(X1,inverse(double_divide(X0,inverse(X0))))) = X1,
inference(forward_demodulation,[],[f262,f241]) ).
fof(f275,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(superposition,[],[f260,f197]) ).
fof(f287,plain,
! [X2,X0,X1] : double_divide(X0,X1) = inverse(double_divide(inverse(X1),double_divide(X2,double_divide(X2,inverse(X0))))),
inference(superposition,[],[f71,f260]) ).
fof(f293,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,inverse(X1)),X2) = double_divide(inverse(X0),inverse(double_divide(X2,X1))),
inference(superposition,[],[f94,f260]) ).
fof(f294,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,inverse(X1)),X2) = inverse(double_divide(double_divide(X2,X1),X0)),
inference(forward_demodulation,[],[f293,f246]) ).
fof(f299,plain,
! [X2,X0,X1] : double_divide(X0,X1) = double_divide(X2,inverse(double_divide(double_divide(X2,inverse(X0)),X1))),
inference(forward_demodulation,[],[f287,f225]) ).
fof(f310,plain,
! [X2,X0,X1] : double_divide(X0,X1) = double_divide(X2,double_divide(double_divide(X1,inverse(inverse(X0))),X2)),
inference(forward_demodulation,[],[f299,f294]) ).
fof(f320,plain,
! [X0,X1] : double_divide(X0,X1) = double_divide(X1,inverse(inverse(X0))),
inference(forward_demodulation,[],[f310,f275]) ).
fof(f358,plain,
! [X0,X1] : double_divide(X0,X1) = double_divide(X1,X0),
inference(superposition,[],[f197,f275]) ).
fof(f360,plain,
! [X0,X1] : inverse(double_divide(X0,X1)) = inverse(double_divide(X1,X0)),
inference(superposition,[],[f24,f275]) ).
fof(f361,plain,
! [X2,X0,X1] : double_divide(X1,inverse(double_divide(X2,X0))) = double_divide(X0,inverse(double_divide(X1,X2))),
inference(superposition,[],[f40,f275]) ).
fof(f369,plain,
( $false
| spl0_1 ),
inference(backward_subsumption_resolution,[],[f9,f360]) ).
fof(f370,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f369]) ).
fof(f434,plain,
( inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(inverse(double_divide(c3,a3)),b3))
| spl0_2 ),
inference(forward_demodulation,[],[f13,f177]) ).
fof(f435,plain,
( inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(b3,inverse(double_divide(c3,a3))))
| spl0_2 ),
inference(forward_demodulation,[],[f434,f360]) ).
fof(f436,plain,
( inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(a3,inverse(double_divide(b3,c3))))
| spl0_2 ),
inference(forward_demodulation,[],[f435,f361]) ).
fof(f437,plain,
( inverse(double_divide(a3,inverse(double_divide(b3,c3)))) != inverse(double_divide(a3,inverse(double_divide(c3,b3))))
| spl0_2 ),
inference(forward_demodulation,[],[f436,f361]) ).
fof(f438,plain,
( inverse(double_divide(a3,inverse(double_divide(b3,c3)))) != inverse(double_divide(a3,inverse(double_divide(b3,c3))))
| spl0_2 ),
inference(forward_demodulation,[],[f437,f360]) ).
fof(f439,plain,
( $false
| spl0_2 ),
inference(trivial_inequality_removal,[],[f438]) ).
fof(f440,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f439]) ).
fof(f442,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f17,f268]) ).
fof(f443,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f442]) ).
fof(f777,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f183,f50]) ).
fof(f792,plain,
! [X0,X1] : double_divide(inverse(X0),X0) = inverse(double_divide(inverse(X1),X1)),
inference(superposition,[],[f117,f183]) ).
fof(f793,plain,
! [X2,X3,X0,X1] : inverse(double_divide(X1,double_divide(X2,double_divide(inverse(X0),X2)))) = double_divide(X3,inverse(double_divide(X0,double_divide(X3,X1)))),
inference(superposition,[],[f117,f183]) ).
fof(f798,plain,
! [X3,X0,X1] : inverse(double_divide(X1,inverse(X0))) = double_divide(X3,inverse(double_divide(X0,double_divide(X3,X1)))),
inference(forward_demodulation,[],[f793,f275]) ).
fof(f799,plain,
! [X0,X1] : double_divide(inverse(X0),X0) = inverse(double_divide(X1,inverse(X1))),
inference(forward_demodulation,[],[f792,f360]) ).
fof(f821,plain,
! [X0,X1] : double_divide(X0,inverse(X0)) = inverse(double_divide(X1,inverse(X1))),
inference(forward_demodulation,[],[f799,f358]) ).
fof(f1090,plain,
! [X2,X3,X0,X1] : inverse(double_divide(X2,double_divide(X1,X0))) = double_divide(X3,inverse(double_divide(inverse(double_divide(X0,X1)),double_divide(X3,X2)))),
inference(superposition,[],[f117,f360]) ).
fof(f1095,plain,
! [X2,X0,X1] : inverse(double_divide(X2,double_divide(X1,X0))) = inverse(double_divide(X2,inverse(inverse(double_divide(X0,X1))))),
inference(forward_demodulation,[],[f1090,f798]) ).
fof(f1141,plain,
! [X2,X0,X1] : inverse(double_divide(double_divide(X0,X1),X2)) = inverse(double_divide(X2,double_divide(X1,X0))),
inference(forward_demodulation,[],[f1095,f320]) ).
fof(f1177,plain,
! [X2,X0,X1] : double_divide(double_divide(X2,inverse(X1)),X0) = inverse(double_divide(X2,double_divide(X1,X0))),
inference(forward_demodulation,[],[f1141,f294]) ).
fof(f1426,plain,
! [X0,X1] : inverse(double_divide(X1,inverse(X0))) = double_divide(X0,inverse(X1)),
inference(superposition,[],[f246,f777]) ).
fof(f1467,plain,
! [X0,X1] : inverse(X0) = double_divide(inverse(X1),inverse(double_divide(X0,X1))),
inference(superposition,[],[f197,f246]) ).
fof(f1480,plain,
! [X0,X1] : inverse(X0) = double_divide(X1,inverse(double_divide(inverse(X1),X0))),
inference(forward_demodulation,[],[f1467,f361]) ).
fof(f1525,plain,
! [X0,X1] : inverse(X0) = inverse(double_divide(double_divide(X1,X0),X1)),
inference(forward_demodulation,[],[f1480,f240]) ).
fof(f1569,plain,
! [X0,X1] : inverse(X0) = inverse(double_divide(X1,double_divide(X1,X0))),
inference(forward_demodulation,[],[f1525,f360]) ).
fof(f1603,plain,
! [X0,X1] : inverse(X0) = double_divide(double_divide(X1,inverse(X1)),X0),
inference(forward_demodulation,[],[f1569,f1177]) ).
fof(f1727,plain,
! [X0,X1] : double_divide(X0,inverse(X0)) = double_divide(X1,inverse(X1)),
inference(superposition,[],[f275,f1603]) ).
fof(f2312,plain,
( ! [X0] : inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(X0,inverse(X0)))
| spl0_4 ),
inference(superposition,[],[f21,f1727]) ).
fof(f2315,plain,
( ! [X0] : inverse(double_divide(a1,inverse(a1))) != double_divide(X0,inverse(X0))
| spl0_4 ),
inference(forward_demodulation,[],[f2312,f1426]) ).
fof(f2318,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f2315,f821]) ).
fof(f2319,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f2318]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f22]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f370]) ).
cnf(s3,plain,
spl0_2,
inference(sat_conversion,[],[f440]) ).
cnf(s4,plain,
spl0_3,
inference(sat_conversion,[],[f443]) ).
cnf(s6,plain,
spl0_4,
inference(sat_conversion,[],[f2319]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s1,s6,s4,s3,s2]) ).
fof(f2320,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP110-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.16/0.41 % Computer : n005.cluster.edu
% 0.16/0.41 % Model : x86_64 x86_64
% 0.16/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41 % Memory : 8046.5625MB
% 0.16/0.41 % OS : Linux 6.8.0-71-generic
% 0.16/0.41 % CPULimit : 300
% 0.16/0.41 % WCLimit : 300
% 0.16/0.41 % DateTime : Sun Sep 27 09:19:32 UTC 2026
% 0.16/0.41 % CPUTime :
% 0.16/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.16/0.44 Running first-order model finding
% 0.16/0.44 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.12/1.05 % (3728766)Will run a generic schedule for satisfiability detection.
% 4.12/1.05 % (3728771)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1782113133_2999 on theBenchmark for (2999ds/0Mi)
% 4.12/1.05 % TRYING [1]
% 4.12/1.05 % TRYING [2]
% 4.12/1.05 % TRYING [3]
% 4.12/1.05 % (3728772)% WARNING: option uhcvi not known.
% 4.12/1.05 % (3728772)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=51047168:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.12/1.05 % (3728773)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=319420936:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.12/1.05 % (3728775)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2320924088:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.12/1.05 % (3728777)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=432315618:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.12/1.05 % (3728774)dis+10_1_sil=32000:sp=arity:random_seed=233863848:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.12/1.05 % TRYING [4]
% 4.12/1.05 % (3728776)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3224033399:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.12/1.05 % (3728774)Instruction limit reached!
% 4.12/1.05 % (3728774)------------------------------
% 4.12/1.05 % (3728774)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.12/1.05 % (3728774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.12/1.05 % (3728774)CaDiCaL version: 2.1.3
% 4.12/1.05 % (3728774)Termination reason: Instruction limit
% 4.12/1.05 % (3728774)Termination phase: Saturation
% 4.12/1.05 % (3728774)Time elapsed: 0.067 s
% 4.12/1.05 % (3728774)Peak memory usage: 12 MB
% 4.12/1.05 % (3728774)Instructions burned: 103 (million)
% 4.12/1.05 % (3728775)Instruction limit reached!
% 4.12/1.05 % (3728775)------------------------------
% 4.12/1.05 % (3728775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.12/1.05 % (3728775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.12/1.05 % (3728775)CaDiCaL version: 2.1.3
% 4.12/1.05 % (3728775)Termination reason: Instruction limit
% 4.12/1.05 % (3728775)Termination phase: Saturation
% 4.12/1.05 % (3728775)Time elapsed: 0.071 s
% 4.12/1.05 % (3728775)Peak memory usage: 13 MB
% 4.12/1.05 % (3728775)Instructions burned: 116 (million)
% 4.12/1.05 % (3728785)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1979144748:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 4.12/1.05 % (3728786)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3165320281:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 4.12/1.05 % TRYING [1]
% 4.12/1.05 % TRYING [2]
% 4.12/1.05 % TRYING [3]
% 4.12/1.05 % (3728777)Instruction limit reached!
% 4.12/1.05 % (3728777)------------------------------
% 4.12/1.05 % (3728777)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.12/1.05 % (3728777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.12/1.05 % (3728777)CaDiCaL version: 2.1.3
% 4.12/1.05 % (3728777)Termination reason: Instruction limit
% 4.12/1.05 % (3728777)Termination phase: Saturation
% 4.12/1.05 % (3728777)Time elapsed: 0.097 s
% 4.12/1.05 % (3728777)Peak memory usage: 13 MB
% 4.12/1.05 % (3728777)Instructions burned: 160 (million)
% 4.12/1.05 % TRYING [4]
% 4.12/1.05 % (3728789)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3046811451:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 4.12/1.05 % (3728776)Instruction limit reached!
% 4.12/1.05 % (3728776)------------------------------
% 4.12/1.05 % (3728776)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.12/1.05 % (3728776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.12/1.05 % (3728776)CaDiCaL version: 2.1.3
% 4.12/1.05 % (3728776)Termination reason: Instruction limit
% 4.12/1.05 % (3728776)Termination phase: Saturation
% 4.12/1.05 % (3728776)Time elapsed: 0.124 s
% 4.12/1.05 % (3728776)Peak memory usage: 13 MB
% 4.12/1.05 % (3728776)Instructions burned: 131 (million)
% 4.12/1.05 % TRYING [5]
% 4.12/1.05 % (3728791)ott-21_1_sil=16000:fs=off:random_seed=4221575026:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 4.12/1.05 % (3728786)Instruction limit reached!
% 4.12/1.05 % (3728786)------------------------------
% 4.12/1.05 % (3728786)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.12/1.05 % (3728786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.12/1.05 % (3728786)CaDiCaL version: 2.1.3
% 4.12/1.05 % (3728786)Termination reason: Instruction limit
% 4.12/1.05 % (3728786)Termination phase: Saturation
% 4.12/1.05 % (3728786)Time elapsed: 0.080 s
% 4.12/1.05 % (3728786)Peak memory usage: 12 MB
% 4.12/1.05 % (3728786)Instructions burned: 132 (million)
% 4.12/1.05 % (3728793)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1671702338:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 4.12/1.05 % (3728791)Instruction limit reached!
% 4.12/1.05 % (3728791)------------------------------
% 4.12/1.05 % (3728791)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.12/1.05 % (3728791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.12/1.05 % (3728791)CaDiCaL version: 2.1.3
% 4.12/1.05 % (3728791)Termination reason: Instruction limit
% 4.12/1.05 % (3728791)Termination phase: Saturation
% 4.12/1.05 % (3728791)Time elapsed: 0.115 s
% 4.12/1.05 % (3728791)Peak memory usage: 12 MB
% 4.12/1.05 % (3728791)Instructions burned: 180 (million)
% 4.12/1.05 % (3728795)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2096484640:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 4.12/1.05 % TRYING [1]
% 4.12/1.05 % TRYING [2]
% 4.12/1.05 % TRYING [3]
% 4.12/1.05 % TRYING [4]
% 4.12/1.05 % TRYING [5]
% 4.12/1.05 % (3728793)Instruction limit reached!
% 4.12/1.05 % (3728793)------------------------------
% 4.12/1.05 % (3728793)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.12/1.05 % (3728793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.12/1.05 % (3728793)CaDiCaL version: 2.1.3
% 4.12/1.05 % (3728793)Termination reason: Instruction limit
% 4.12/1.05 % (3728793)Termination phase: Saturation
% 4.12/1.05 % (3728793)Time elapsed: 0.262 s
% 4.12/1.05 % (3728793)Peak memory usage: 17 MB
% 4.12/1.05 % (3728793)Instructions burned: 478 (million)
% 4.12/1.05 % TRYING [5]
% 4.12/1.05 % (3728789)Instruction limit reached!
% 4.12/1.05 % (3728789)------------------------------
% 4.12/1.05 % (3728789)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.12/1.05 % (3728789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.12/1.05 % (3728789)CaDiCaL version: 2.1.3
% 4.12/1.05 % (3728789)Termination reason: Instruction limit
% 4.12/1.05 % (3728789)Termination phase: Saturation
% 4.12/1.05 % (3728789)Time elapsed: 0.354 s
% 4.12/1.05 % (3728789)Peak memory usage: 18 MB
% 4.12/1.05 % (3728789)Instructions burned: 685 (million)
% 4.12/1.05 % (3728798)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3849255273:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 4.12/1.05 % (3728785)Instruction limit reached!
% 4.12/1.05 % (3728785)------------------------------
% 4.12/1.05 % (3728785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.12/1.05 % (3728785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.12/1.05 % (3728785)CaDiCaL version: 2.1.3
% 4.12/1.05 % (3728785)Termination reason: Instruction limit
% 4.12/1.05 % (3728785)Termination phase: Finite model building SAT solving
% 4.12/1.05 % (3728785)Time elapsed: 0.395 s
% 4.12/1.05 % (3728785)Peak memory usage: 13 MB
% 4.12/1.05 % (3728785)Instructions burned: 715 (million)
% 4.12/1.05 % (3728802)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1126937451:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 4.12/1.05 % (3728809)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2451906498:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 4.12/1.05 % TRYING [14]
% 4.12/1.05 % (3728809) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3728766-3728809"...
% 4.12/1.05 % (3728809)...printing done.
% 4.12/1.05 % (3728809)Refutation found. Thanks to Tanya!
% 4.12/1.05 % SZS status Unsatisfiable for theBenchmark
% 4.12/1.05 % SZS output start Proof for theBenchmark
% See solution above
% 4.12/1.06 % (3728809)------------------------------
% 4.12/1.06 % (3728809)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.12/1.06 % (3728809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.12/1.06 % (3728809)CaDiCaL version: 2.1.3
% 4.12/1.06 % (3728809)Termination reason: Refutation
% 4.12/1.06 % (3728809)Time elapsed: 0.055 s
% 4.12/1.06 % (3728809)Peak memory usage: 13 MB
% 4.12/1.06 % (3728809)Instructions burned: 88 (million)
% 4.12/1.06 % (3728766)Success in time 0.603 s
% 4.12/1.06 % Vampire exiting
%------------------------------------------------------------------------------