%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP089-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 10:12:33 AM UTC 2026
% Result : Unsatisfiable 7.74s 2.11s
% Output : Refutation 8.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 21
% Syntax : Number of formulae : 126 ( 113 unt; 17 def)
% Number of atoms : 149 ( 121 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 45 ( 22 ~; 19 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 22 con; 0-2 aty)
% Number of variables : 153 ( 0 sgn 153 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : divide(X0,divide(divide(X0,X1),divide(X2,X1))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f4,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(f5,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,[],[f4]) ).
fof(f6,definition,
sF0 = inverse(a1),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f7,plain,
inverse(a1) = sF0,
inference(reorient_equations,[],[f6]) ).
fof(f8,definition,
sF1 = multiply(sF0,a1),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f9,plain,
multiply(sF0,a1) = sF1,
inference(reorient_equations,[],[f8]) ).
fof(f10,definition,
sF2 = inverse(b1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f11,plain,
inverse(b1) = sF2,
inference(reorient_equations,[],[f10]) ).
fof(f12,definition,
sF3 = multiply(sF2,b1),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f13,plain,
multiply(sF2,b1) = sF3,
inference(reorient_equations,[],[f12]) ).
fof(f14,definition,
sF4 = inverse(b2),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f15,plain,
inverse(b2) = sF4,
inference(reorient_equations,[],[f14]) ).
fof(f16,definition,
sF5 = multiply(sF4,b2),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f17,plain,
multiply(sF4,b2) = sF5,
inference(reorient_equations,[],[f16]) ).
fof(f18,definition,
sF6 = multiply(sF5,a2),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f19,plain,
multiply(sF5,a2) = sF6,
inference(reorient_equations,[],[f18]) ).
fof(f20,definition,
sF7 = multiply(a3,b3),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f21,plain,
multiply(a3,b3) = sF7,
inference(reorient_equations,[],[f20]) ).
fof(f22,definition,
sF8 = multiply(sF7,c3),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f23,plain,
multiply(sF7,c3) = sF8,
inference(reorient_equations,[],[f22]) ).
fof(f24,definition,
sF9 = multiply(b3,c3),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f25,plain,
multiply(b3,c3) = sF9,
inference(reorient_equations,[],[f24]) ).
fof(f26,definition,
sF10 = multiply(a3,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f27,plain,
multiply(a3,sF9) = sF10,
inference(reorient_equations,[],[f26]) ).
fof(f28,definition,
sF11 = multiply(a4,b4),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f29,plain,
multiply(a4,b4) = sF11,
inference(reorient_equations,[],[f28]) ).
fof(f30,definition,
sF12 = multiply(b4,a4),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f31,plain,
multiply(b4,a4) = sF12,
inference(reorient_equations,[],[f30]) ).
fof(f32,plain,
( sF1 != sF3
| a2 != sF6
| sF8 != sF10
| sF11 != sF12 ),
inference(definition_folding,[],[f5,f31,f29,f27,f25,f23,f21,f19,f17,f15,f13,f11,f9,f7]) ).
fof(f34,definition,
( spl13_1
<=> sF11 = sF12 ),
introduced(definition,[new_symbols(definition,[spl13_1])],[avatar_definition]) ).
fof(f36,plain,
( sF11 != sF12
| spl13_1 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f38,definition,
( spl13_2
<=> sF8 = sF10 ),
introduced(definition,[new_symbols(definition,[spl13_2])],[avatar_definition]) ).
fof(f40,plain,
( sF8 != sF10
| spl13_2 ),
inference(avatar_component_clause,[],[f38]) ).
fof(f42,definition,
( spl13_3
<=> a2 = sF6 ),
introduced(definition,[new_symbols(definition,[spl13_3])],[avatar_definition]) ).
fof(f46,definition,
( spl13_4
<=> sF1 = sF3 ),
introduced(definition,[new_symbols(definition,[spl13_4])],[avatar_definition]) ).
fof(f49,plain,
( ~ spl13_1
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4 ),
inference(avatar_split_clause,[],[f32,f46,f42,f38,f34]) ).
fof(f50,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(forward_demodulation,[],[f2,f3]) ).
fof(f51,plain,
multiply(inverse(a1),a1) = sF1,
inference(forward_demodulation,[],[f9,f7]) ).
fof(f52,plain,
multiply(inverse(b1),b1) = sF3,
inference(forward_demodulation,[],[f13,f11]) ).
fof(f53,plain,
multiply(inverse(b2),b2) = sF5,
inference(forward_demodulation,[],[f17,f15]) ).
fof(f55,plain,
! [X2,X3,X0,X1] : divide(X1,divide(divide(X1,divide(divide(X2,X3),divide(X0,X3))),X0)) = X2,
inference(superposition,[],[f1,f1]) ).
fof(f56,plain,
! [X2,X0,X1] : divide(divide(X1,divide(X0,X2)),X2) = divide(X1,X0),
inference(superposition,[],[f1,f1]) ).
fof(f59,plain,
! [X0,X1] : divide(X1,inverse(divide(X0,X1))) = X0,
inference(superposition,[],[f1,f3]) ).
fof(f60,plain,
! [X2,X0,X1] : divide(X2,X2) = divide(X1,divide(divide(X1,X0),inverse(X0))),
inference(superposition,[],[f1,f3]) ).
fof(f65,plain,
! [X2,X0,X1] : divide(X2,X2) = divide(X1,multiply(divide(X1,X0),X0)),
inference(forward_demodulation,[],[f60,f50]) ).
fof(f66,plain,
! [X0,X1] : multiply(X1,divide(X0,X1)) = X0,
inference(forward_demodulation,[],[f59,f50]) ).
fof(f72,plain,
! [X0,X1] : multiply(divide(X0,X0),X1) = inverse(inverse(X1)),
inference(superposition,[],[f3,f50]) ).
fof(f77,plain,
! [X2,X0,X1] : divide(X1,divide(X2,X2)) = divide(divide(X1,inverse(X0)),X0),
inference(superposition,[],[f56,f3]) ).
fof(f78,plain,
! [X2,X3,X0,X1] : divide(X2,divide(X0,divide(X1,X3))) = divide(divide(X2,divide(X0,X1)),X3),
inference(superposition,[],[f56,f56]) ).
fof(f81,plain,
! [X2,X3,X0,X1] : divide(divide(X0,divide(X1,divide(X2,X3))),X2) = divide(divide(X0,X1),X3),
inference(superposition,[],[f56,f56]) ).
fof(f84,plain,
! [X0,X1] : inverse(X1) = divide(divide(X0,X1),X0),
inference(superposition,[],[f3,f56]) ).
fof(f85,plain,
! [X2,X3,X0,X1] : divide(X0,divide(X1,X3)) = divide(X2,divide(divide(X2,X3),divide(X0,X1))),
inference(superposition,[],[f1,f56]) ).
fof(f89,plain,
! [X2,X1] : divide(X2,divide(X1,X1)) = X2,
inference(backward_demodulation,[],[f1,f85]) ).
fof(f91,plain,
! [X2,X3,X1] : divide(X1,divide(divide(X1,divide(X2,X3)),X3)) = X2,
inference(backward_demodulation,[],[f55,f81]) ).
fof(f94,plain,
! [X2,X3,X0,X1] : divide(divide(X0,X1),X3) = divide(X0,divide(X1,divide(divide(X2,X3),X2))),
inference(backward_demodulation,[],[f81,f78]) ).
fof(f96,plain,
! [X2,X0,X1] : divide(X1,divide(X2,X2)) = divide(multiply(X1,X0),X0),
inference(forward_demodulation,[],[f77,f50]) ).
fof(f98,plain,
! [X2,X3,X1] : divide(X1,divide(X1,divide(X2,divide(X3,X3)))) = X2,
inference(forward_demodulation,[],[f91,f78]) ).
fof(f99,plain,
! [X3,X0,X1] : divide(divide(X0,X1),X3) = divide(X0,divide(X1,inverse(X3))),
inference(forward_demodulation,[],[f94,f84]) ).
fof(f100,plain,
! [X0,X1] : divide(multiply(X1,X0),X0) = X1,
inference(forward_demodulation,[],[f96,f89]) ).
fof(f101,plain,
! [X2,X1] : divide(X1,divide(X1,X2)) = X2,
inference(forward_demodulation,[],[f98,f89]) ).
fof(f102,plain,
! [X3,X0,X1] : divide(divide(X0,X1),X3) = divide(X0,multiply(X1,X3)),
inference(forward_demodulation,[],[f99,f50]) ).
fof(f104,plain,
! [X2,X0,X1] : divide(X2,X2) = divide(divide(X1,divide(X1,X0)),X0),
inference(backward_demodulation,[],[f65,f102]) ).
fof(f107,plain,
! [X2,X0,X1] : divide(X2,X2) = divide(X1,divide(X1,divide(X0,X0))),
inference(forward_demodulation,[],[f104,f78]) ).
fof(f108,plain,
! [X2,X0] : divide(X2,X2) = divide(X0,X0),
inference(forward_demodulation,[],[f107,f101]) ).
fof(f112,plain,
! [X0,X1] : inverse(divide(divide(X1,X1),X0)) = X0,
inference(superposition,[],[f3,f101]) ).
fof(f113,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f112,f3]) ).
fof(f117,plain,
! [X0,X1] : multiply(divide(X0,X0),X1) = X1,
inference(backward_demodulation,[],[f72,f113]) ).
fof(f132,plain,
! [X0,X1] : divide(X0,X0) = multiply(inverse(X1),X1),
inference(superposition,[],[f50,f108]) ).
fof(f134,plain,
! [X0,X1] : divide(X1,X0) = multiply(X1,inverse(X0)),
inference(superposition,[],[f50,f113]) ).
fof(f139,plain,
! [X0,X1] : divide(X1,inverse(divide(X0,X0))) = X1,
inference(superposition,[],[f89,f3]) ).
fof(f148,plain,
! [X0,X1] : multiply(X1,divide(X0,X0)) = X1,
inference(forward_demodulation,[],[f139,f50]) ).
fof(f151,plain,
! [X0,X1] : multiply(X1,multiply(inverse(X0),X0)) = X1,
inference(superposition,[],[f148,f50]) ).
fof(f190,plain,
! [X0] : sF5 = divide(X0,X0),
inference(superposition,[],[f132,f53]) ).
fof(f198,plain,
! [X0] : sF6 = multiply(divide(X0,X0),a2),
inference(superposition,[],[f19,f190]) ).
fof(f208,plain,
! [X0] : sF5 = multiply(inverse(X0),X0),
inference(superposition,[],[f50,f190]) ).
fof(f213,plain,
! [X1] : multiply(X1,sF5) = X1,
inference(backward_demodulation,[],[f151,f208]) ).
fof(f215,plain,
sF1 = sF5,
inference(backward_demodulation,[],[f51,f208]) ).
fof(f216,plain,
sF3 = sF5,
inference(backward_demodulation,[],[f52,f208]) ).
fof(f217,plain,
a2 = sF6,
inference(forward_demodulation,[],[f198,f117]) ).
fof(f224,plain,
sF1 = sF3,
inference(backward_demodulation,[],[f216,f215]) ).
fof(f226,plain,
! [X1] : multiply(X1,sF1) = X1,
inference(forward_demodulation,[],[f213,f215]) ).
fof(f228,plain,
spl13_3,
inference(avatar_split_clause,[],[f217,f42]) ).
fof(f229,plain,
spl13_4,
inference(avatar_split_clause,[],[f224,f46]) ).
fof(f343,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(superposition,[],[f66,f100]) ).
fof(f355,plain,
multiply(a4,b4) = sF12,
inference(superposition,[],[f343,f31]) ).
fof(f390,plain,
sF11 = sF12,
inference(forward_demodulation,[],[f355,f29]) ).
fof(f399,plain,
( $false
| spl13_1 ),
inference(forward_subsumption_resolution,[],[f390,f36]) ).
fof(f400,plain,
spl13_1,
inference(avatar_contradiction_clause,[],[f399]) ).
fof(f432,plain,
! [X0,X1] : divide(X0,X1) = inverse(divide(X1,X0)),
inference(superposition,[],[f84,f101]) ).
fof(f468,plain,
! [X0,X1] : divide(inverse(X1),X0) = inverse(multiply(X0,X1)),
inference(superposition,[],[f432,f50]) ).
fof(f530,plain,
! [X0,X1] : divide(X0,X1) = multiply(inverse(X1),X0),
inference(superposition,[],[f343,f134]) ).
fof(f546,plain,
! [X0,X1] : multiply(X0,X1) = divide(X1,inverse(X0)),
inference(superposition,[],[f530,f113]) ).
fof(f576,plain,
! [X2,X0,X1] : multiply(X2,multiply(X1,X0)) = divide(X2,divide(inverse(X0),X1)),
inference(superposition,[],[f50,f468]) ).
fof(f597,plain,
! [X2,X0,X1] : divide(X2,divide(inverse(X0),X1)) = multiply(multiply(X1,X0),X2),
inference(superposition,[],[f546,f468]) ).
fof(f752,plain,
! [X2,X0,X1] : divide(multiply(X1,X2),X0) = inverse(divide(divide(X0,X1),X2)),
inference(superposition,[],[f432,f102]) ).
fof(f754,plain,
! [X2,X0,X1] : multiply(X1,X2) = divide(X0,divide(divide(X0,X1),X2)),
inference(superposition,[],[f101,f102]) ).
fof(f762,plain,
! [X3,X0,X1] : divide(X0,divide(X1,X3)) = multiply(X3,divide(X0,X1)),
inference(backward_demodulation,[],[f85,f754]) ).
fof(f764,plain,
! [X2,X0,X1] : divide(X2,divide(X0,X1)) = divide(multiply(X1,X2),X0),
inference(forward_demodulation,[],[f752,f432]) ).
fof(f804,plain,
! [X2,X0,X1] : divide(X0,divide(inverse(X1),X2)) = multiply(X2,multiply(X0,X1)),
inference(superposition,[],[f762,f50]) ).
fof(f829,plain,
! [X2,X0,X1] : multiply(multiply(X1,X0),X2) = multiply(X1,multiply(X2,X0)),
inference(backward_demodulation,[],[f597,f804]) ).
fof(f2000,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = divide(X1,divide(inverse(X2),X0)),
inference(superposition,[],[f764,f50]) ).
fof(f2058,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X1,multiply(X0,X2)),
inference(forward_demodulation,[],[f2000,f576]) ).
fof(f2134,plain,
! [X0] : multiply(b3,multiply(a3,X0)) = multiply(sF7,X0),
inference(superposition,[],[f2058,f21]) ).
fof(f2136,plain,
! [X0] : multiply(c3,multiply(b3,X0)) = multiply(sF9,X0),
inference(superposition,[],[f2058,f25]) ).
fof(f2140,plain,
! [X0] : multiply(sF8,X0) = multiply(c3,multiply(sF7,X0)),
inference(superposition,[],[f2058,f23]) ).
fof(f2150,plain,
! [X2,X0,X1] : multiply(X2,multiply(X1,X0)) = multiply(X0,multiply(X1,X2)),
inference(superposition,[],[f343,f2058]) ).
fof(f2205,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,X2)) = multiply(X2,multiply(X0,X1)),
inference(superposition,[],[f2150,f343]) ).
fof(f2370,plain,
! [X0] : multiply(sF9,multiply(a3,X0)) = multiply(c3,multiply(sF7,X0)),
inference(superposition,[],[f2136,f2134]) ).
fof(f2387,plain,
! [X0] : multiply(sF9,multiply(a3,X0)) = multiply(sF8,X0),
inference(forward_demodulation,[],[f2370,f2140]) ).
fof(f2403,plain,
! [X0] : multiply(sF8,X0) = multiply(a3,multiply(X0,sF9)),
inference(forward_demodulation,[],[f2387,f2205]) ).
fof(f2871,plain,
! [X0] : multiply(sF10,X0) = multiply(a3,multiply(X0,sF9)),
inference(superposition,[],[f829,f27]) ).
fof(f2923,plain,
! [X0] : multiply(sF10,X0) = multiply(sF8,X0),
inference(forward_demodulation,[],[f2871,f2403]) ).
fof(f2965,plain,
sF10 = multiply(sF8,sF1),
inference(superposition,[],[f2923,f226]) ).
fof(f2995,plain,
sF8 = sF10,
inference(forward_demodulation,[],[f2965,f226]) ).
fof(f3008,plain,
( $false
| spl13_2 ),
inference(forward_subsumption_resolution,[],[f2995,f40]) ).
fof(f3009,plain,
spl13_2,
inference(avatar_contradiction_clause,[],[f3008]) ).
cnf(s1,plain,
( ~ spl13_1
| ~ spl13_2
| ~ spl13_3
| ~ spl13_4 ),
inference(sat_conversion,[],[f49]) ).
cnf(s2,plain,
spl13_3,
inference(sat_conversion,[],[f228]) ).
cnf(s3,plain,
spl13_4,
inference(sat_conversion,[],[f229]) ).
cnf(s8,plain,
spl13_1,
inference(sat_conversion,[],[f400]) ).
cnf(s10,plain,
spl13_2,
inference(sat_conversion,[],[f3009]) ).
cnf(s11,plain,
$false,
inference(rat,[],[s1,s3,s2,s10,s8]) ).
fof(f3010,plain,
$false,
inference(avatar_sat_refutation,[],[s11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP089-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 % Computer : n004.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Sun Sep 27 09:18:21 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.47 Running first-order theorem proving
% 0.15/0.47 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.74/2.11 % (3243256)Input is clausal, will run a generic CNF schedule.
% 7.74/2.11 % (3243264)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2766000591:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.74/2.11 % (3243265)lrs+10_1_sil=8000:sp=occurrence:random_seed=1669326342:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.74/2.11 % (3243262)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=1267098496:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.74/2.11 % (3243263)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2516450833:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.74/2.11 % (3243265)Instruction limit reached!
% 7.74/2.11 % (3243265)------------------------------
% 7.74/2.11 % (3243265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.74/2.11 % (3243265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.74/2.11 % (3243265)CaDiCaL version: 2.1.3
% 7.74/2.11 % (3243265)Termination reason: Instruction limit
% 7.74/2.11 % (3243265)Termination phase: Saturation
% 7.74/2.11 % (3243265)Time elapsed: 0.071 s
% 7.74/2.11 % (3243265)Peak memory usage: 89 MB
% 7.74/2.11 % (3243265)Instructions burned: 109 (million)
% 7.74/2.11 % (3243266)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3407710249:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.74/2.11 % (3243268)dis-21_1_sil=8000:lcm=predicate:random_seed=3377368415: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)
% 7.74/2.11 % (3243267)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1543768560:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.74/2.11 % (3243268)Refutation not found, incomplete strategy
% 7.74/2.11 % (3243268)------------------------------
% 7.74/2.11 % (3243268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.74/2.11 % (3243268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.74/2.11 % (3243268)CaDiCaL version: 2.1.3
% 7.74/2.11 % (3243268)Termination reason: Refutation not found, incomplete strategy
% 7.74/2.11 % (3243268)Time elapsed: 0.002 s
% 7.74/2.11 % (3243268)Peak memory usage: 88 MB
% 7.74/2.11 % (3243266)Instruction limit reached!
% 7.74/2.11 % (3243266)------------------------------
% 7.74/2.11 % (3243266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.74/2.11 % (3243266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.74/2.11 % (3243266)CaDiCaL version: 2.1.3
% 7.74/2.11 % (3243266)Termination reason: Instruction limit
% 7.74/2.11 % (3243266)Termination phase: Saturation
% 7.74/2.11 % (3243266)Time elapsed: 0.113 s
% 7.74/2.11 % (3243266)Peak memory usage: 89 MB
% 7.74/2.11 % (3243266)Instructions burned: 114 (million)
% 7.74/2.11 % (3243267)Instruction limit reached!
% 7.74/2.11 % (3243267)------------------------------
% 7.74/2.11 % (3243267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.74/2.11 % (3243267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.74/2.11 % (3243267)CaDiCaL version: 2.1.3
% 7.74/2.11 % (3243267)Termination reason: Instruction limit
% 7.74/2.11 % (3243267)Termination phase: Saturation
% 7.74/2.11 % (3243267)Time elapsed: 0.173 s
% 7.74/2.11 % (3243267)Peak memory usage: 89 MB
% 7.74/2.11 % (3243267)Instructions burned: 180 (million)
% 7.74/2.11 % (3243274)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=1038889869:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 7.74/2.11 % (3243274)Refutation not found, incomplete strategy
% 7.74/2.11 % (3243274)------------------------------
% 7.74/2.11 % (3243274)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.74/2.11 % (3243274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.74/2.11 % (3243274)CaDiCaL version: 2.1.3
% 7.74/2.11 % (3243274)Termination reason: Refutation not found, incomplete strategy
% 7.74/2.11 % (3243274)Time elapsed: 0.002 s
% 7.74/2.11 % (3243274)Peak memory usage: 88 MB
% 7.74/2.11 % (3243268)------------------------------
% 7.74/2.11 % (3243268)------------------------------
% 7.74/2.11 % (3243278)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4277389856:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 7.74/2.11 % (3243278)Refutation not found, incomplete strategy
% 7.74/2.11 % (3243278)------------------------------
% 7.74/2.11 % (3243278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.74/2.11 % (3243278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.74/2.11 % (3243278)CaDiCaL version: 2.1.3
% 7.74/2.11 % (3243278)Termination reason: Refutation not found, incomplete strategy
% 7.74/2.11 % (3243278)Time elapsed: 0.002 s
% 7.74/2.11 % (3243278)Peak memory usage: 88 MB
% 7.74/2.11 % (3243279)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2914036569:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 7.74/2.11 % (3243279)Refutation not found, incomplete strategy
% 7.74/2.11 % (3243279)------------------------------
% 7.74/2.11 % (3243279)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.74/2.11 % (3243279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.74/2.11 % (3243279)CaDiCaL version: 2.1.3
% 7.74/2.11 % (3243279)Termination reason: Refutation not found, incomplete strategy
% 7.74/2.11 % (3243279)Time elapsed: 0.002 s
% 7.74/2.11 % (3243279)Peak memory usage: 88 MB
% 7.74/2.11 % (3243264)First to succeed.
% 7.74/2.11 % (3243264)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3243256"
% 7.74/2.11 % (3243283)lrs+10_64_to=lpo:sil=8000:random_seed=23702686:i=126:bd=preordered_2993 on theBenchmark for (2993ds/126Mi)
% 7.74/2.11 % (3243274)------------------------------
% 7.74/2.11 % (3243274)------------------------------
% 7.74/2.11 % (3243283)Instruction limit reached!
% 7.74/2.11 % (3243283)------------------------------
% 7.74/2.11 % (3243283)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.74/2.11 % (3243283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.74/2.11 % (3243283)CaDiCaL version: 2.1.3
% 7.74/2.11 % (3243283)Termination reason: Instruction limit
% 7.74/2.11 % (3243283)Termination phase: Saturation
% 7.74/2.11 % (3243283)Time elapsed: 0.125 s
% 7.74/2.11 % (3243283)Peak memory usage: 89 MB
% 7.74/2.11 % (3243283)Instructions burned: 126 (million)
% 7.74/2.11 % (3243278)------------------------------
% 7.74/2.11 % (3243278)------------------------------
% 7.74/2.11 % (3243279)------------------------------
% 7.74/2.11 % (3243279)------------------------------
% 7.74/2.11 % (3243264)Refutation found. Thanks to Tanya!
% 7.74/2.11 % SZS status Unsatisfiable for theBenchmark
% 7.74/2.11 % SZS output start Proof for theBenchmark
% See solution above
% 8.38/2.40 % (3243264)------------------------------
% 8.38/2.40 % (3243264)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.38/2.40 % (3243264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.38/2.40 % (3243264)CaDiCaL version: 2.1.3
% 8.38/2.40 % (3243264)Termination reason: Refutation
% 8.38/2.40 % (3243264)Time elapsed: 0.663 s
% 8.38/2.40 % (3243264)Peak memory usage: 130 MB
% 8.38/2.40 % (3243264)Instructions burned: 1101 (million)
% 8.38/2.40 % (3243264)------------------------------
% 8.38/2.40 % (3243264)------------------------------
% 8.38/2.40 % (3243256)Success in time 1.064 s
% 8.38/2.40 % Vampire exiting
%------------------------------------------------------------------------------