%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP099-1 : 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 : n002.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 10:12:35 AM UTC 2026
% Result : Unsatisfiable 8.45s 2.07s
% Output : Refutation 8.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 26
% Syntax : Number of formulae : 134 ( 79 unt; 21 def)
% Number of atoms : 203 ( 129 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 138 ( 69 ~; 65 |; 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 : 28 ( 28 usr; 25 con; 0-2 aty)
% Number of variables : 65 ( 0 sgn 65 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(identity,X2))),double_divide(identity,identity)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0] : inverse(X0) = double_divide(X0,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
fof(f5,negated_conjecture,
( multiply(inverse(a1),a1) != identity
| multiply(identity,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(f6,plain,
( identity != multiply(inverse(a1),a1)
| a2 != multiply(identity,a2)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,plain,
! [X0] : identity = double_divide(X0,double_divide(X0,identity)),
inference(definition_unfolding,[],[f4,f3]) ).
fof(f8,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)
| double_divide(double_divide(b4,a4),identity) != double_divide(double_divide(a4,b4),identity) ),
inference(definition_unfolding,[],[f6,f2,f3,f2,f2,f2,f2,f2,f2,f2]) ).
fof(f9,definition,
sF0 = double_divide(a1,identity),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f10,plain,
double_divide(a1,identity) = sF0,
inference(reorient_equations,[],[f9]) ).
fof(f11,definition,
sF1 = double_divide(a1,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f12,plain,
double_divide(a1,sF0) = sF1,
inference(reorient_equations,[],[f11]) ).
fof(f13,definition,
sF2 = double_divide(sF1,identity),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f14,plain,
double_divide(sF1,identity) = sF2,
inference(reorient_equations,[],[f13]) ).
fof(f15,definition,
sF3 = double_divide(a2,identity),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f16,plain,
double_divide(a2,identity) = sF3,
inference(reorient_equations,[],[f15]) ).
fof(f17,definition,
sF4 = double_divide(sF3,identity),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f18,plain,
double_divide(sF3,identity) = sF4,
inference(reorient_equations,[],[f17]) ).
fof(f19,definition,
sF5 = double_divide(b3,a3),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f20,plain,
double_divide(b3,a3) = sF5,
inference(reorient_equations,[],[f19]) ).
fof(f21,definition,
sF6 = double_divide(sF5,identity),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f22,plain,
double_divide(sF5,identity) = sF6,
inference(reorient_equations,[],[f21]) ).
fof(f23,definition,
sF7 = double_divide(c3,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f24,plain,
double_divide(c3,sF6) = sF7,
inference(reorient_equations,[],[f23]) ).
fof(f25,definition,
sF8 = double_divide(sF7,identity),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f26,plain,
double_divide(sF7,identity) = sF8,
inference(reorient_equations,[],[f25]) ).
fof(f27,definition,
sF9 = double_divide(c3,b3),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f28,plain,
double_divide(c3,b3) = sF9,
inference(reorient_equations,[],[f27]) ).
fof(f29,definition,
sF10 = double_divide(sF9,identity),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f30,plain,
double_divide(sF9,identity) = sF10,
inference(reorient_equations,[],[f29]) ).
fof(f31,definition,
sF11 = double_divide(sF10,a3),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f32,plain,
double_divide(sF10,a3) = sF11,
inference(reorient_equations,[],[f31]) ).
fof(f33,definition,
sF12 = double_divide(sF11,identity),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f34,plain,
double_divide(sF11,identity) = sF12,
inference(reorient_equations,[],[f33]) ).
fof(f35,definition,
sF13 = double_divide(b4,a4),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f36,plain,
double_divide(b4,a4) = sF13,
inference(reorient_equations,[],[f35]) ).
fof(f37,definition,
sF14 = double_divide(sF13,identity),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f38,plain,
double_divide(sF13,identity) = sF14,
inference(reorient_equations,[],[f37]) ).
fof(f39,definition,
sF15 = double_divide(a4,b4),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f40,plain,
double_divide(a4,b4) = sF15,
inference(reorient_equations,[],[f39]) ).
fof(f41,definition,
sF16 = double_divide(sF15,identity),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f42,plain,
double_divide(sF15,identity) = sF16,
inference(reorient_equations,[],[f41]) ).
fof(f43,plain,
( identity != sF2
| a2 != sF4
| sF8 != sF12
| sF14 != sF16 ),
inference(definition_folding,[],[f8,f42,f40,f38,f36,f34,f32,f30,f28,f26,f24,f22,f20,f18,f16,f14,f12,f10]) ).
fof(f45,definition,
( spl17_1
<=> sF14 = sF16 ),
introduced(definition,[new_symbols(definition,[spl17_1])],[avatar_definition]) ).
fof(f47,plain,
( sF14 != sF16
| spl17_1 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f49,definition,
( spl17_2
<=> sF8 = sF12 ),
introduced(definition,[new_symbols(definition,[spl17_2])],[avatar_definition]) ).
fof(f51,plain,
( sF8 != sF12
| spl17_2 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f53,definition,
( spl17_3
<=> a2 = sF4 ),
introduced(definition,[new_symbols(definition,[spl17_3])],[avatar_definition]) ).
fof(f57,definition,
( spl17_4
<=> identity = sF2 ),
introduced(definition,[new_symbols(definition,[spl17_4])],[avatar_definition]) ).
fof(f58,plain,
( identity = sF2
| ~ spl17_4 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f60,plain,
( ~ spl17_1
| ~ spl17_2
| ~ spl17_3
| ~ spl17_4 ),
inference(avatar_split_clause,[],[f43,f57,f53,f49,f45]) ).
fof(f62,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(double_divide(X0,double_divide(X1,X2)),double_divide(identity,X2))) = double_divide(double_divide(identity,double_divide(X0,double_divide(identity,identity))),double_divide(identity,identity)),
inference(superposition,[],[f1,f1]) ).
fof(f81,plain,
identity = double_divide(a1,sF0),
inference(superposition,[],[f7,f10]) ).
fof(f83,plain,
identity = double_divide(sF1,sF2),
inference(superposition,[],[f7,f14]) ).
fof(f91,plain,
! [X0] : double_divide(double_divide(X0,double_divide(identity,double_divide(identity,identity))),double_divide(identity,identity)) = X0,
inference(superposition,[],[f1,f7]) ).
fof(f94,plain,
! [X0] : double_divide(double_divide(X0,identity),double_divide(identity,identity)) = X0,
inference(forward_demodulation,[],[f91,f7]) ).
fof(f95,plain,
identity = sF1,
inference(backward_demodulation,[],[f12,f81]) ).
fof(f96,plain,
identity = double_divide(identity,sF2),
inference(backward_demodulation,[],[f83,f95]) ).
fof(f99,plain,
double_divide(identity,identity) = sF2,
inference(backward_demodulation,[],[f14,f95]) ).
fof(f100,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(identity,X2))),sF2) = X1,
inference(backward_demodulation,[],[f1,f99]) ).
fof(f101,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(double_divide(X0,double_divide(X1,X2)),double_divide(identity,X2))) = double_divide(double_divide(identity,double_divide(X0,sF2)),sF2),
inference(backward_demodulation,[],[f62,f99]) ).
fof(f120,plain,
! [X0] : double_divide(double_divide(X0,identity),sF2) = X0,
inference(backward_demodulation,[],[f94,f99]) ).
fof(f159,plain,
a2 = double_divide(sF3,sF2),
inference(superposition,[],[f120,f16]) ).
fof(f161,plain,
sF5 = double_divide(sF6,sF2),
inference(superposition,[],[f120,f22]) ).
fof(f172,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(X1,sF2)),sF2) = double_divide(double_divide(X0,identity),double_divide(double_divide(X1,X0),double_divide(identity,sF2))),
inference(superposition,[],[f101,f120]) ).
fof(f174,plain,
! [X0] : double_divide(double_divide(identity,double_divide(X0,sF2)),sF2) = double_divide(identity,double_divide(double_divide(X0,sF2),sF2)),
inference(superposition,[],[f101,f99]) ).
fof(f190,plain,
! [X0] : double_divide(X0,double_divide(identity,double_divide(identity,identity))) = double_divide(double_divide(identity,double_divide(X0,sF2)),sF2),
inference(superposition,[],[f101,f7]) ).
fof(f199,plain,
! [X0] : double_divide(double_divide(double_divide(identity,double_divide(X0,sF2)),sF2),sF2) = X0,
inference(superposition,[],[f100,f101]) ).
fof(f208,plain,
! [X0] : double_divide(X0,identity) = double_divide(double_divide(identity,double_divide(X0,sF2)),sF2),
inference(forward_demodulation,[],[f190,f7]) ).
fof(f232,plain,
! [X0] : double_divide(double_divide(identity,double_divide(double_divide(X0,sF2),sF2)),sF2) = X0,
inference(backward_demodulation,[],[f199,f174]) ).
fof(f236,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(X1,sF2)),sF2) = double_divide(double_divide(X0,identity),double_divide(double_divide(X1,X0),identity)),
inference(forward_demodulation,[],[f172,f96]) ).
fof(f242,plain,
! [X2,X0,X1] : double_divide(X0,identity) = double_divide(X1,double_divide(double_divide(X0,double_divide(X1,X2)),double_divide(identity,X2))),
inference(backward_demodulation,[],[f101,f208]) ).
fof(f261,plain,
! [X0] : double_divide(double_divide(X0,sF2),identity) = X0,
inference(forward_demodulation,[],[f232,f208]) ).
fof(f265,plain,
! [X0,X1] : double_divide(X1,identity) = double_divide(double_divide(X0,identity),double_divide(double_divide(X1,X0),identity)),
inference(forward_demodulation,[],[f236,f208]) ).
fof(f371,plain,
double_divide(c3,identity) = double_divide(double_divide(b3,identity),double_divide(sF9,identity)),
inference(superposition,[],[f265,f28]) ).
fof(f372,plain,
double_divide(c3,identity) = double_divide(double_divide(sF6,identity),double_divide(sF7,identity)),
inference(superposition,[],[f265,f24]) ).
fof(f383,plain,
! [X0] : double_divide(X0,identity) = double_divide(double_divide(sF2,identity),X0),
inference(superposition,[],[f265,f261]) ).
fof(f385,plain,
identity = double_divide(identity,identity),
inference(superposition,[],[f7,f265]) ).
fof(f386,plain,
! [X0,X1] : double_divide(double_divide(X1,identity),identity) = double_divide(double_divide(X0,X1),double_divide(double_divide(X0,identity),double_divide(identity,identity))),
inference(superposition,[],[f242,f265]) ).
fof(f388,plain,
! [X0,X1] : double_divide(double_divide(X1,identity),identity) = double_divide(double_divide(X0,X1),double_divide(double_divide(X0,identity),sF2)),
inference(forward_demodulation,[],[f386,f99]) ).
fof(f389,plain,
identity = sF2,
inference(backward_demodulation,[],[f99,f385]) ).
fof(f400,plain,
double_divide(c3,identity) = double_divide(double_divide(sF6,identity),sF8),
inference(forward_demodulation,[],[f372,f26]) ).
fof(f401,plain,
double_divide(c3,identity) = double_divide(double_divide(b3,identity),sF10),
inference(forward_demodulation,[],[f371,f30]) ).
fof(f408,plain,
! [X0,X1] : double_divide(double_divide(X1,identity),identity) = double_divide(double_divide(X0,X1),X0),
inference(forward_demodulation,[],[f388,f120]) ).
fof(f409,plain,
spl17_4,
inference(avatar_split_clause,[],[f389,f57]) ).
fof(f419,plain,
( a2 = double_divide(sF3,identity)
| ~ spl17_4 ),
inference(backward_demodulation,[],[f159,f58]) ).
fof(f421,plain,
( sF5 = double_divide(sF6,identity)
| ~ spl17_4 ),
inference(backward_demodulation,[],[f161,f58]) ).
fof(f439,plain,
( ! [X0] : double_divide(double_divide(X0,identity),identity) = X0
| ~ spl17_4 ),
inference(backward_demodulation,[],[f261,f58]) ).
fof(f445,plain,
( ! [X0] : double_divide(X0,identity) = double_divide(double_divide(identity,identity),X0)
| ~ spl17_4 ),
inference(backward_demodulation,[],[f383,f58]) ).
fof(f447,plain,
( ! [X0] : double_divide(X0,identity) = double_divide(identity,X0)
| ~ spl17_4 ),
inference(forward_demodulation,[],[f445,f385]) ).
fof(f451,plain,
( ! [X0,X1] : double_divide(double_divide(X0,X1),X0) = X1
| ~ spl17_4 ),
inference(backward_demodulation,[],[f408,f439]) ).
fof(f453,plain,
( double_divide(c3,identity) = double_divide(sF5,sF8)
| ~ spl17_4 ),
inference(backward_demodulation,[],[f400,f421]) ).
fof(f454,plain,
( a2 = sF4
| ~ spl17_4 ),
inference(backward_demodulation,[],[f18,f419]) ).
fof(f457,plain,
( spl17_3
| ~ spl17_4 ),
inference(avatar_split_clause,[],[f454,f57,f53]) ).
fof(f467,plain,
( ! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(X1,X2)),double_divide(identity,X2)) = double_divide(double_divide(X0,identity),X1)
| ~ spl17_4 ),
inference(superposition,[],[f451,f242]) ).
fof(f469,plain,
( ! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = X1
| ~ spl17_4 ),
inference(superposition,[],[f451,f451]) ).
fof(f485,plain,
( ! [X0,X1] : double_divide(double_divide(identity,X1),identity) = double_divide(X0,double_divide(X0,X1))
| ~ spl17_4 ),
inference(superposition,[],[f242,f451]) ).
fof(f494,plain,
( ! [X0,X1] : double_divide(identity,double_divide(identity,X1)) = double_divide(X0,double_divide(X0,X1))
| ~ spl17_4 ),
inference(forward_demodulation,[],[f485,f447]) ).
fof(f538,plain,
( double_divide(identity,double_divide(identity,a3)) = double_divide(sF10,sF11)
| ~ spl17_4 ),
inference(superposition,[],[f494,f32]) ).
fof(f549,plain,
( ! [X0] : double_divide(identity,double_divide(identity,X0)) = X0
| ~ spl17_4 ),
inference(superposition,[],[f469,f494]) ).
fof(f551,plain,
( ! [X0,X1] : double_divide(X1,X0) = double_divide(double_divide(identity,double_divide(identity,X0)),X1)
| ~ spl17_4 ),
inference(superposition,[],[f451,f494]) ).
fof(f553,plain,
( ! [X0,X1] : double_divide(X1,X0) = double_divide(X0,X1)
| ~ spl17_4 ),
inference(backward_demodulation,[],[f551,f549]) ).
fof(f554,plain,
( ! [X0,X1] : double_divide(X0,double_divide(X0,X1)) = X1
| ~ spl17_4 ),
inference(backward_demodulation,[],[f494,f549]) ).
fof(f560,plain,
( a3 = double_divide(sF10,sF11)
| ~ spl17_4 ),
inference(forward_demodulation,[],[f538,f549]) ).
fof(f612,plain,
( sF5 = double_divide(a3,b3)
| ~ spl17_4 ),
inference(superposition,[],[f20,f553]) ).
fof(f614,plain,
( double_divide(a4,b4) = sF13
| ~ spl17_4 ),
inference(superposition,[],[f36,f553]) ).
fof(f619,plain,
( sF12 = double_divide(identity,sF11)
| ~ spl17_4 ),
inference(superposition,[],[f34,f553]) ).
fof(f620,plain,
( sF14 = double_divide(identity,sF13)
| ~ spl17_4 ),
inference(superposition,[],[f38,f553]) ).
fof(f622,plain,
( sF13 = sF15
| ~ spl17_4 ),
inference(backward_demodulation,[],[f40,f614]) ).
fof(f625,plain,
( double_divide(sF13,identity) = sF16
| ~ spl17_4 ),
inference(backward_demodulation,[],[f42,f622]) ).
fof(f643,plain,
( sF16 = double_divide(identity,sF13)
| ~ spl17_4 ),
inference(forward_demodulation,[],[f625,f447]) ).
fof(f647,plain,
( sF14 = sF16
| ~ spl17_4 ),
inference(forward_demodulation,[],[f643,f620]) ).
fof(f648,plain,
( $false
| spl17_1
| ~ spl17_4 ),
inference(forward_subsumption_resolution,[],[f647,f47]) ).
fof(f649,plain,
( spl17_1
| ~ spl17_4 ),
inference(avatar_contradiction_clause,[],[f648]) ).
fof(f1101,plain,
( ! [X0] : double_divide(double_divide(X0,identity),sF10) = double_divide(double_divide(X0,a3),double_divide(identity,sF11))
| ~ spl17_4 ),
inference(superposition,[],[f467,f560]) ).
fof(f1160,plain,
( ! [X0] : double_divide(double_divide(X0,identity),sF10) = double_divide(double_divide(X0,a3),sF12)
| ~ spl17_4 ),
inference(forward_demodulation,[],[f1101,f619]) ).
fof(f1212,plain,
( double_divide(c3,identity) = double_divide(double_divide(b3,a3),sF12)
| ~ spl17_4 ),
inference(backward_demodulation,[],[f401,f1160]) ).
fof(f1243,plain,
( double_divide(c3,identity) = double_divide(double_divide(a3,b3),sF12)
| ~ spl17_4 ),
inference(forward_demodulation,[],[f1212,f553]) ).
fof(f1264,plain,
( double_divide(c3,identity) = double_divide(sF5,sF12)
| ~ spl17_4 ),
inference(forward_demodulation,[],[f1243,f612]) ).
fof(f1276,plain,
( sF12 = double_divide(sF5,double_divide(c3,identity))
| ~ spl17_4 ),
inference(superposition,[],[f554,f1264]) ).
fof(f1386,plain,
( sF8 = double_divide(sF5,double_divide(c3,identity))
| ~ spl17_4 ),
inference(superposition,[],[f554,f453]) ).
fof(f1387,plain,
( sF8 = sF12
| ~ spl17_4 ),
inference(backward_demodulation,[],[f1276,f1386]) ).
fof(f1391,plain,
( $false
| spl17_2
| ~ spl17_4 ),
inference(forward_subsumption_resolution,[],[f1387,f51]) ).
fof(f1392,plain,
( spl17_2
| ~ spl17_4 ),
inference(avatar_contradiction_clause,[],[f1391]) ).
cnf(s1,plain,
( ~ spl17_1
| ~ spl17_2
| ~ spl17_3
| ~ spl17_4 ),
inference(sat_conversion,[],[f60]) ).
cnf(s2,plain,
spl17_4,
inference(sat_conversion,[],[f409]) ).
cnf(s4,plain,
( spl17_3
| ~ spl17_4 ),
inference(sat_conversion,[],[f457]) ).
cnf(s6,plain,
( spl17_1
| ~ spl17_4 ),
inference(sat_conversion,[],[f649]) ).
cnf(s7,plain,
( spl17_2
| ~ spl17_4 ),
inference(sat_conversion,[],[f1392]) ).
cnf(s8,plain,
spl17_2,
inference(rat,[],[s7,s2]) ).
cnf(s9,plain,
spl17_1,
inference(rat,[],[s6,s2]) ).
cnf(s10,plain,
spl17_3,
inference(rat,[],[s4,s2]) ).
cnf(s11,plain,
$false,
inference(rat,[],[s1,s2,s10,s8,s9]) ).
fof(f1412,plain,
$false,
inference(avatar_sat_refutation,[],[s11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP099-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n002.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 09:21:36 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 8.45/2.07 % (3275477)Input is clausal, will run a generic CNF schedule.
% 8.45/2.07 % (3275534)lrs+10_1_sil=8000:sp=occurrence:random_seed=4191244356:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 8.45/2.07 % (3275534)Instruction limit reached!
% 8.45/2.07 % (3275534)------------------------------
% 8.45/2.07 % (3275534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.45/2.07 % (3275534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/2.07 % (3275534)CaDiCaL version: 2.1.3
% 8.45/2.07 % (3275534)Termination reason: Instruction limit
% 8.45/2.07 % (3275534)Termination phase: Saturation
% 8.45/2.07 % (3275534)Time elapsed: 0.037 s
% 8.45/2.07 % (3275534)Peak memory usage: 89 MB
% 8.45/2.07 % (3275534)Instructions burned: 109 (million)
% 8.45/2.07 % (3275531)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2583120945:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 8.45/2.07 % (3275529)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=1828845718:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 8.45/2.07 % (3275532)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1647516901:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 8.45/2.07 % (3275536)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2552307358:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 8.45/2.07 % (3275537)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2826412466:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 8.45/2.07 % (3275539)dis-21_1_sil=8000:lcm=predicate:random_seed=1149589503: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)
% 8.45/2.07 % (3275539)Refutation not found, incomplete strategy
% 8.45/2.07 % (3275539)------------------------------
% 8.45/2.07 % (3275539)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.45/2.07 % (3275539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/2.07 % (3275539)CaDiCaL version: 2.1.3
% 8.45/2.07 % (3275539)Termination reason: Refutation not found, incomplete strategy
% 8.45/2.07 % (3275539)Time elapsed: 0.001 s
% 8.45/2.07 % (3275539)Peak memory usage: 88 MB
% 8.45/2.07 % (3275536)Instruction limit reached!
% 8.45/2.07 % (3275536)------------------------------
% 8.45/2.07 % (3275536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.45/2.07 % (3275536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/2.07 % (3275536)CaDiCaL version: 2.1.3
% 8.45/2.07 % (3275536)Termination reason: Instruction limit
% 8.45/2.07 % (3275536)Termination phase: Saturation
% 8.45/2.07 % (3275536)Time elapsed: 0.070 s
% 8.45/2.07 % (3275536)Peak memory usage: 89 MB
% 8.45/2.07 % (3275536)Instructions burned: 115 (million)
% 8.45/2.07 % (3275537)Instruction limit reached!
% 8.45/2.07 % (3275537)------------------------------
% 8.45/2.07 % (3275537)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.45/2.07 % (3275537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/2.07 % (3275537)CaDiCaL version: 2.1.3
% 8.45/2.07 % (3275537)Termination reason: Instruction limit
% 8.45/2.07 % (3275537)Termination phase: Saturation
% 8.45/2.07 % (3275537)Time elapsed: 0.102 s
% 8.45/2.07 % (3275537)Peak memory usage: 89 MB
% 8.45/2.07 % (3275537)Instructions burned: 181 (million)
% 8.45/2.07 % (3275594)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=1487457508:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 8.45/2.07 % (3275594)Refutation not found, incomplete strategy
% 8.45/2.07 % (3275594)------------------------------
% 8.45/2.07 % (3275594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.45/2.07 % (3275594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/2.07 % (3275594)CaDiCaL version: 2.1.3
% 8.45/2.07 % (3275594)Termination reason: Refutation not found, incomplete strategy
% 8.45/2.07 % (3275594)Time elapsed: 0.001 s
% 8.45/2.07 % (3275594)Peak memory usage: 88 MB
% 8.45/2.07 % (3275614)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1994732560: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)
% 8.45/2.07 % (3275614)Refutation not found, incomplete strategy
% 8.45/2.07 % (3275614)------------------------------
% 8.45/2.07 % (3275614)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.45/2.07 % (3275614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/2.07 % (3275614)CaDiCaL version: 2.1.3
% 8.45/2.07 % (3275614)Termination reason: Refutation not found, incomplete strategy
% 8.45/2.07 % (3275614)Time elapsed: 0.002 s
% 8.45/2.07 % (3275614)Peak memory usage: 88 MB
% 8.45/2.07 % (3275539)------------------------------
% 8.45/2.07 % (3275539)------------------------------
% 8.45/2.07 % (3275625)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1133456110:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 8.45/2.07 % (3275625)Refutation not found, incomplete strategy
% 8.45/2.07 % (3275625)------------------------------
% 8.45/2.07 % (3275625)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.45/2.07 % (3275625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/2.07 % (3275625)CaDiCaL version: 2.1.3
% 8.45/2.07 % (3275625)Termination reason: Refutation not found, incomplete strategy
% 8.45/2.07 % (3275625)Time elapsed: 0.001 s
% 8.45/2.07 % (3275625)Peak memory usage: 88 MB
% 8.45/2.07 % (3275625)Instructions burned: 1 (million)
% 8.45/2.07 % (3275594)------------------------------
% 8.45/2.07 % (3275594)------------------------------
% 8.45/2.07 % (3275643)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=447606346:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 8.45/2.07 % (3275642)lrs+10_64_to=lpo:sil=8000:random_seed=746397903:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 8.45/2.07 % (3275643)Instruction limit reached!
% 8.45/2.07 % (3275643)------------------------------
% 8.45/2.07 % (3275643)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.45/2.07 % (3275643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/2.07 % (3275643)CaDiCaL version: 2.1.3
% 8.45/2.07 % (3275643)Termination reason: Instruction limit
% 8.45/2.07 % (3275643)Termination phase: Saturation
% 8.45/2.07 % (3275643)Time elapsed: 0.064 s
% 8.45/2.07 % (3275643)Peak memory usage: 90 MB
% 8.45/2.07 % (3275643)Instructions burned: 196 (million)
% 8.45/2.07 % (3275614)------------------------------
% 8.45/2.07 % (3275614)------------------------------
% 8.45/2.07 % (3275625)------------------------------
% 8.45/2.07 % (3275625)------------------------------
% 8.45/2.07 % (3275642)Instruction limit reached!
% 8.45/2.07 % (3275642)------------------------------
% 8.45/2.07 % (3275642)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.45/2.07 % (3275642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/2.07 % (3275642)CaDiCaL version: 2.1.3
% 8.45/2.07 % (3275642)Termination reason: Instruction limit
% 8.45/2.07 % (3275642)Termination phase: Saturation
% 8.45/2.07 % (3275642)Time elapsed: 0.089 s
% 8.45/2.07 % (3275642)Peak memory usage: 88 MB
% 8.45/2.07 % (3275642)Instructions burned: 127 (million)
% 8.45/2.07 % (3275693)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=897037798:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 8.45/2.07 % (3275693)Instruction limit reached!
% 8.45/2.07 % (3275693)------------------------------
% 8.45/2.07 % (3275693)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.45/2.07 % (3275693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/2.07 % (3275693)CaDiCaL version: 2.1.3
% 8.45/2.07 % (3275693)Termination reason: Instruction limit
% 8.45/2.07 % (3275693)Termination phase: Saturation
% 8.45/2.07 % (3275693)Time elapsed: 0.049 s
% 8.45/2.07 % (3275693)Peak memory usage: 91 MB
% 8.45/2.07 % (3275693)Instructions burned: 158 (million)
% 8.45/2.07 % (3275694)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=206125664:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 8.45/2.07 % (3275696)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3081272098:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 8.45/2.07 % (3275695)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=2657888664:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 8.45/2.07 % (3275696)Refutation not found, incomplete strategy
% 8.45/2.07 % (3275696)------------------------------
% 8.45/2.07 % (3275696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.45/2.07 % (3275696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/2.07 % (3275696)CaDiCaL version: 2.1.3
% 8.45/2.07 % (3275696)Termination reason: Refutation not found, incomplete strategy
% 8.45/2.07 % (3275696)Time elapsed: 0.001 s
% 8.45/2.07 % (3275696)Peak memory usage: 88 MB
% 8.45/2.07 % (3275698)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3699551204:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 8.45/2.07 % (3275695)Instruction limit reached!
% 8.45/2.07 % (3275695)------------------------------
% 8.45/2.07 % (3275695)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.45/2.07 % (3275695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/2.07 % (3275695)CaDiCaL version: 2.1.3
% 8.45/2.07 % (3275695)Termination reason: Instruction limit
% 8.45/2.07 % (3275695)Termination phase: Saturation
% 8.45/2.07 % (3275695)Time elapsed: 0.069 s
% 8.45/2.07 % (3275695)Peak memory usage: 89 MB
% 8.45/2.07 % (3275695)Instructions burned: 107 (million)
% 8.45/2.07 % (3275532)First to succeed.
% 8.45/2.07 % (3275532)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3275477"
% 8.45/2.07 % (3275698)Instruction limit reached!
% 8.45/2.07 % (3275698)------------------------------
% 8.45/2.07 % (3275698)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.45/2.07 % (3275698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/2.07 % (3275698)CaDiCaL version: 2.1.3
% 8.45/2.07 % (3275698)Termination reason: Instruction limit
% 8.45/2.07 % (3275698)Termination phase: Saturation
% 8.45/2.07 % (3275698)Time elapsed: 0.075 s
% 8.45/2.07 % (3275698)Peak memory usage: 90 MB
% 8.45/2.07 % (3275698)Instructions burned: 246 (million)
% 8.45/2.07 % (3275703)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2280756044:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 8.45/2.07 % (3275696)------------------------------
% 8.45/2.07 % (3275696)------------------------------
% 8.45/2.07 % (3275704)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=176557488:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 8.45/2.07 % (3275704)Instruction limit reached!
% 8.45/2.07 % (3275704)------------------------------
% 8.45/2.07 % (3275704)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.45/2.07 % (3275704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/2.07 % (3275704)CaDiCaL version: 2.1.3
% 8.45/2.07 % (3275704)Termination reason: Instruction limit
% 8.45/2.07 % (3275704)Termination phase: Saturation
% 8.45/2.07 % (3275704)Time elapsed: 0.043 s
% 8.45/2.07 % (3275704)Peak memory usage: 89 MB
% 8.45/2.07 % (3275704)Instructions burned: 137 (million)
% 8.45/2.07 % (3275531)Also succeeded, but the first one will report.
% 8.45/2.07 % (3275532)Refutation found. Thanks to Tanya!
% 8.45/2.07 % SZS status Unsatisfiable for theBenchmark
% 8.45/2.07 % SZS output start Proof for theBenchmark
% See solution above
% 8.90/2.27 % (3275532)------------------------------
% 8.90/2.27 % (3275532)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.90/2.27 % (3275532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.90/2.27 % (3275532)CaDiCaL version: 2.1.3
% 8.90/2.27 % (3275532)Termination reason: Refutation
% 8.90/2.27 % (3275532)Time elapsed: 0.756 s
% 8.90/2.27 % (3275532)Peak memory usage: 129 MB
% 8.90/2.27 % (3275532)Instructions burned: 1133 (million)
% 8.90/2.27 % (3275532)------------------------------
% 8.90/2.27 % (3275532)------------------------------
% 8.90/2.27 % (3275477)Success in time 1.166 s
% 8.90/2.27 % Vampire exiting
%------------------------------------------------------------------------------