%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP078-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : 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 10:12:32 AM UTC 2026
% Result : Unsatisfiable 5.38s 1.92s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 21
% Syntax : Number of formulae : 129 ( 74 unt; 16 def)
% Number of atoms : 191 ( 124 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 126 ( 64 ~; 59 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 19 con; 0-2 aty)
% Number of variables : 72 ( 0 sgn 72 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(identity,X0),double_divide(identity,double_divide(double_divide(double_divide(X0,X1),identity),double_divide(X2,X1)))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0] : inverse(X0) = double_divide(X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox/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)) ),
file('/export/starexec/sandbox/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)) ),
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) ),
inference(definition_unfolding,[],[f6,f2,f3,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,plain,
( identity != sF2
| a2 != sF4
| sF8 != sF12 ),
inference(definition_folding,[],[f8,f34,f32,f30,f28,f26,f24,f22,f20,f18,f16,f14,f12,f10]) ).
fof(f37,definition,
( spl13_1
<=> sF8 = sF12 ),
introduced(definition,[new_symbols(definition,[spl13_1])],[avatar_definition]) ).
fof(f39,plain,
( sF8 != sF12
| spl13_1 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f41,definition,
( spl13_2
<=> a2 = sF4 ),
introduced(definition,[new_symbols(definition,[spl13_2])],[avatar_definition]) ).
fof(f45,definition,
( spl13_3
<=> identity = sF2 ),
introduced(definition,[new_symbols(definition,[spl13_3])],[avatar_definition]) ).
fof(f46,plain,
( identity = sF2
| ~ spl13_3 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f48,plain,
( ~ spl13_1
| ~ spl13_2
| ~ spl13_3 ),
inference(avatar_split_clause,[],[f35,f45,f41,f37]) ).
fof(f51,plain,
! [X0] : double_divide(double_divide(identity,sF1),double_divide(identity,double_divide(double_divide(sF2,identity),double_divide(X0,identity)))) = X0,
inference(superposition,[],[f1,f14]) ).
fof(f83,plain,
identity = double_divide(a1,sF0),
inference(superposition,[],[f7,f10]) ).
fof(f85,plain,
identity = double_divide(sF1,sF2),
inference(superposition,[],[f7,f14]) ).
fof(f91,plain,
! [X0] : double_divide(double_divide(X0,identity),identity) = double_divide(double_divide(identity,X0),double_divide(identity,identity)),
inference(superposition,[],[f1,f7]) ).
fof(f92,plain,
! [X0,X1] : double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(double_divide(identity,identity),X0),identity),double_divide(X1,X0)))) = X1,
inference(superposition,[],[f1,f7]) ).
fof(f95,plain,
identity = sF1,
inference(backward_demodulation,[],[f12,f83]) ).
fof(f96,plain,
identity = double_divide(identity,sF2),
inference(backward_demodulation,[],[f85,f95]) ).
fof(f97,plain,
! [X0] : double_divide(double_divide(identity,identity),double_divide(identity,double_divide(double_divide(sF2,identity),double_divide(X0,identity)))) = X0,
inference(backward_demodulation,[],[f51,f95]) ).
fof(f100,plain,
sF2 = double_divide(identity,identity),
inference(backward_demodulation,[],[f14,f95]) ).
fof(f101,plain,
! [X0] : double_divide(double_divide(X0,identity),identity) = double_divide(double_divide(identity,X0),sF2),
inference(backward_demodulation,[],[f91,f100]) ).
fof(f102,plain,
! [X0,X1] : double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(sF2,X0),identity),double_divide(X1,X0)))) = X1,
inference(backward_demodulation,[],[f92,f100]) ).
fof(f104,plain,
! [X0] : double_divide(sF2,double_divide(identity,double_divide(double_divide(sF2,identity),double_divide(X0,identity)))) = X0,
inference(forward_demodulation,[],[f97,f100]) ).
fof(f106,plain,
! [X0,X1] : double_divide(sF2,double_divide(identity,double_divide(double_divide(double_divide(identity,X0),identity),double_divide(X1,X0)))) = X1,
inference(superposition,[],[f1,f100]) ).
fof(f111,plain,
! [X0] : double_divide(double_divide(identity,identity),double_divide(identity,double_divide(double_divide(identity,identity),double_divide(X0,sF2)))) = X0,
inference(superposition,[],[f1,f96]) ).
fof(f112,plain,
! [X0] : double_divide(sF2,double_divide(identity,double_divide(sF2,double_divide(X0,sF2)))) = X0,
inference(forward_demodulation,[],[f111,f100]) ).
fof(f113,plain,
double_divide(sF2,identity) = double_divide(sF2,sF2),
inference(superposition,[],[f101,f100]) ).
fof(f115,plain,
double_divide(identity,sF2) = double_divide(double_divide(sF2,identity),identity),
inference(superposition,[],[f101,f96]) ).
fof(f118,plain,
identity = double_divide(double_divide(sF2,identity),identity),
inference(forward_demodulation,[],[f115,f96]) ).
fof(f134,plain,
! [X0,X1] : double_divide(double_divide(identity,sF2),double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,double_divide(identity,double_divide(double_divide(sF2,identity),double_divide(X0,identity))))))) = X1,
inference(superposition,[],[f1,f104]) ).
fof(f135,plain,
! [X0,X1] : double_divide(identity,double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,double_divide(identity,double_divide(double_divide(sF2,identity),double_divide(X0,identity))))))) = X1,
inference(forward_demodulation,[],[f134,f96]) ).
fof(f141,plain,
a2 = double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(sF2,identity),identity),sF3))),
inference(superposition,[],[f102,f16]) ).
fof(f145,plain,
sF9 = double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(sF2,identity),identity),sF10))),
inference(superposition,[],[f102,f30]) ).
fof(f147,plain,
! [X0] : double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(sF2,double_divide(X0,identity)),identity),identity))) = X0,
inference(superposition,[],[f102,f7]) ).
fof(f153,plain,
c3 = double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(sF2,b3),identity),sF9))),
inference(superposition,[],[f102,f28]) ).
fof(f155,plain,
identity = double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(sF2,sF2),identity),identity))),
inference(superposition,[],[f102,f96]) ).
fof(f156,plain,
! [X0] : double_divide(identity,X0) = double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(sF2,sF2),identity),double_divide(double_divide(X0,identity),identity)))),
inference(superposition,[],[f102,f101]) ).
fof(f166,plain,
! [X0] : double_divide(identity,X0) = double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(sF2,identity),identity),double_divide(double_divide(X0,identity),identity)))),
inference(forward_demodulation,[],[f156,f113]) ).
fof(f167,plain,
identity = double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(sF2,identity),identity),identity))),
inference(forward_demodulation,[],[f155,f113]) ).
fof(f170,plain,
sF9 = double_divide(identity,double_divide(identity,double_divide(identity,sF10))),
inference(forward_demodulation,[],[f145,f118]) ).
fof(f174,plain,
a2 = double_divide(identity,double_divide(identity,double_divide(identity,sF3))),
inference(forward_demodulation,[],[f141,f118]) ).
fof(f178,plain,
! [X0] : double_divide(identity,X0) = double_divide(X0,identity),
inference(forward_demodulation,[],[f166,f102]) ).
fof(f179,plain,
identity = double_divide(identity,double_divide(identity,double_divide(identity,identity))),
inference(forward_demodulation,[],[f167,f118]) ).
fof(f181,plain,
identity = double_divide(identity,identity),
inference(forward_demodulation,[],[f179,f7]) ).
fof(f182,plain,
identity = sF2,
inference(backward_demodulation,[],[f100,f181]) ).
fof(f183,plain,
spl13_3,
inference(avatar_split_clause,[],[f182,f45]) ).
fof(f191,plain,
( ! [X0,X1] : double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,X0),identity),double_divide(X1,X0)))) = X1
| ~ spl13_3 ),
inference(backward_demodulation,[],[f106,f46]) ).
fof(f193,plain,
( ! [X0] : double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X0,identity)))) = X0
| ~ spl13_3 ),
inference(backward_demodulation,[],[f112,f46]) ).
fof(f206,plain,
( ! [X0,X1] : double_divide(identity,double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,double_divide(identity,double_divide(double_divide(identity,identity),double_divide(X0,identity))))))) = X1
| ~ spl13_3 ),
inference(backward_demodulation,[],[f135,f46]) ).
fof(f207,plain,
( ! [X0] : double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,double_divide(X0,identity)),identity),identity))) = X0
| ~ spl13_3 ),
inference(backward_demodulation,[],[f147,f46]) ).
fof(f212,plain,
( c3 = double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,b3),identity),sF9)))
| ~ spl13_3 ),
inference(backward_demodulation,[],[f153,f46]) ).
fof(f225,plain,
( c3 = double_divide(identity,double_divide(identity,double_divide(double_divide(identity,double_divide(identity,b3)),sF9)))
| ~ spl13_3 ),
inference(forward_demodulation,[],[f212,f178]) ).
fof(f229,plain,
( ! [X0] : double_divide(identity,double_divide(identity,double_divide(identity,double_divide(double_divide(identity,double_divide(X0,identity)),identity)))) = X0
| ~ spl13_3 ),
inference(forward_demodulation,[],[f207,f178]) ).
fof(f230,plain,
( ! [X0,X1] : double_divide(identity,double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,double_divide(identity,double_divide(identity,double_divide(X0,identity))))))) = X1
| ~ spl13_3 ),
inference(forward_demodulation,[],[f206,f181]) ).
fof(f243,plain,
( ! [X0,X1] : double_divide(identity,double_divide(identity,double_divide(double_divide(identity,double_divide(identity,X0)),double_divide(X1,X0)))) = X1
| ~ spl13_3 ),
inference(forward_demodulation,[],[f191,f178]) ).
fof(f252,plain,
( c3 = double_divide(identity,double_divide(identity,double_divide(double_divide(identity,double_divide(b3,identity)),sF9)))
| ~ spl13_3 ),
inference(forward_demodulation,[],[f225,f178]) ).
fof(f256,plain,
( ! [X0] : double_divide(identity,double_divide(X0,identity)) = X0
| ~ spl13_3 ),
inference(forward_demodulation,[],[f229,f193]) ).
fof(f265,plain,
( ! [X0,X1] : double_divide(identity,double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,double_divide(identity,X0))))) = X1
| ~ spl13_3 ),
inference(backward_demodulation,[],[f230,f256]) ).
fof(f266,plain,
( ! [X0] : double_divide(identity,double_divide(identity,X0)) = X0
| ~ spl13_3 ),
inference(backward_demodulation,[],[f193,f256]) ).
fof(f271,plain,
( c3 = double_divide(identity,double_divide(identity,double_divide(b3,sF9)))
| ~ spl13_3 ),
inference(backward_demodulation,[],[f252,f256]) ).
fof(f280,plain,
( ! [X0,X1] : double_divide(identity,double_divide(identity,double_divide(X0,double_divide(X1,X0)))) = X1
| ~ spl13_3 ),
inference(backward_demodulation,[],[f243,f266]) ).
fof(f286,plain,
( a2 = double_divide(identity,sF3)
| ~ spl13_3 ),
inference(backward_demodulation,[],[f174,f266]) ).
fof(f290,plain,
( sF9 = double_divide(identity,sF10)
| ~ spl13_3 ),
inference(backward_demodulation,[],[f170,f266]) ).
fof(f296,plain,
( c3 = double_divide(b3,sF9)
| ~ spl13_3 ),
inference(backward_demodulation,[],[f271,f266]) ).
fof(f297,plain,
( ! [X0,X1] : double_divide(double_divide(X0,identity),double_divide(X1,double_divide(identity,X0))) = X1
| ~ spl13_3 ),
inference(forward_demodulation,[],[f265,f266]) ).
fof(f305,plain,
( ! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = X1
| ~ spl13_3 ),
inference(forward_demodulation,[],[f280,f266]) ).
fof(f318,plain,
( ! [X0,X1] : double_divide(double_divide(X0,X1),X0) = X1
| ~ spl13_3 ),
inference(superposition,[],[f305,f305]) ).
fof(f344,plain,
sF4 = double_divide(identity,sF3),
inference(superposition,[],[f18,f178]) ).
fof(f345,plain,
sF6 = double_divide(identity,sF5),
inference(superposition,[],[f22,f178]) ).
fof(f346,plain,
sF8 = double_divide(identity,sF7),
inference(superposition,[],[f26,f178]) ).
fof(f358,plain,
( a2 = sF4
| ~ spl13_3 ),
inference(forward_demodulation,[],[f344,f286]) ).
fof(f368,plain,
( spl13_2
| ~ spl13_3 ),
inference(avatar_split_clause,[],[f358,f45,f41]) ).
fof(f422,plain,
( ! [X2,X0,X1] : double_divide(identity,double_divide(double_divide(double_divide(X1,X2),identity),double_divide(X0,X2))) = double_divide(X0,double_divide(identity,X1))
| ~ spl13_3 ),
inference(superposition,[],[f318,f1]) ).
fof(f443,plain,
( ! [X2,X0,X1] : double_divide(identity,double_divide(double_divide(identity,double_divide(X1,X2)),double_divide(X0,X2))) = double_divide(X0,double_divide(identity,X1))
| ~ spl13_3 ),
inference(forward_demodulation,[],[f422,f178]) ).
fof(f626,plain,
( ! [X0,X1] : double_divide(X0,double_divide(X1,identity)) = double_divide(X0,double_divide(identity,X1))
| ~ spl13_3 ),
inference(superposition,[],[f318,f297]) ).
fof(f1541,plain,
( ! [X0,X1] : double_divide(X1,double_divide(identity,X0)) = double_divide(identity,double_divide(double_divide(identity,double_divide(X0,identity)),double_divide(identity,X1)))
| ~ spl13_3 ),
inference(superposition,[],[f443,f626]) ).
fof(f1543,plain,
( ! [X2,X0,X1] : double_divide(double_divide(identity,double_divide(X1,X2)),double_divide(X0,X2)) = double_divide(identity,double_divide(X0,double_divide(identity,X1)))
| ~ spl13_3 ),
inference(superposition,[],[f266,f443]) ).
fof(f1557,plain,
( ! [X0,X1] : double_divide(X1,double_divide(identity,X0)) = double_divide(identity,double_divide(X0,double_divide(identity,X1)))
| ~ spl13_3 ),
inference(forward_demodulation,[],[f1541,f305]) ).
fof(f1648,plain,
( ! [X2,X0,X1] : double_divide(double_divide(identity,double_divide(X1,X2)),double_divide(X0,X2)) = double_divide(X1,double_divide(identity,X0))
| ~ spl13_3 ),
inference(backward_demodulation,[],[f1543,f1557]) ).
fof(f1763,plain,
( ! [X0] : double_divide(b3,double_divide(identity,X0)) = double_divide(double_divide(identity,sF5),double_divide(X0,a3))
| ~ spl13_3 ),
inference(superposition,[],[f1648,f20]) ).
fof(f1897,plain,
( ! [X0] : double_divide(sF6,double_divide(X0,a3)) = double_divide(b3,double_divide(identity,X0))
| ~ spl13_3 ),
inference(forward_demodulation,[],[f1763,f345]) ).
fof(f2142,plain,
( double_divide(b3,double_divide(identity,sF10)) = double_divide(sF6,sF11)
| ~ spl13_3 ),
inference(superposition,[],[f1897,f32]) ).
fof(f2157,plain,
( double_divide(b3,sF9) = double_divide(sF6,sF11)
| ~ spl13_3 ),
inference(forward_demodulation,[],[f2142,f290]) ).
fof(f2162,plain,
( c3 = double_divide(sF6,sF11)
| ~ spl13_3 ),
inference(forward_demodulation,[],[f2157,f296]) ).
fof(f2165,plain,
( double_divide(c3,sF6) = sF11
| ~ spl13_3 ),
inference(superposition,[],[f318,f2162]) ).
fof(f2167,plain,
( sF7 = sF11
| ~ spl13_3 ),
inference(forward_demodulation,[],[f2165,f24]) ).
fof(f2169,plain,
( double_divide(sF7,identity) = sF12
| ~ spl13_3 ),
inference(backward_demodulation,[],[f34,f2167]) ).
fof(f2187,plain,
( sF12 = double_divide(identity,sF7)
| ~ spl13_3 ),
inference(forward_demodulation,[],[f2169,f178]) ).
fof(f2190,plain,
( sF8 = sF12
| ~ spl13_3 ),
inference(forward_demodulation,[],[f2187,f346]) ).
fof(f2191,plain,
( $false
| spl13_1
| ~ spl13_3 ),
inference(forward_subsumption_resolution,[],[f2190,f39]) ).
fof(f2192,plain,
( spl13_1
| ~ spl13_3 ),
inference(avatar_contradiction_clause,[],[f2191]) ).
cnf(s1,plain,
( ~ spl13_1
| ~ spl13_2
| ~ spl13_3 ),
inference(sat_conversion,[],[f48]) ).
cnf(s2,plain,
spl13_3,
inference(sat_conversion,[],[f183]) ).
cnf(s3,plain,
( spl13_2
| ~ spl13_3 ),
inference(sat_conversion,[],[f368]) ).
cnf(s6,plain,
( spl13_1
| ~ spl13_3 ),
inference(sat_conversion,[],[f2192]) ).
cnf(s7,plain,
spl13_1,
inference(rat,[],[s6,s2]) ).
cnf(s8,plain,
spl13_2,
inference(rat,[],[s3,s2]) ).
cnf(s9,plain,
$false,
inference(rat,[],[s1,s2,s8,s7]) ).
fof(f2193,plain,
$false,
inference(avatar_sat_refutation,[],[s9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP078-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n002.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 09:20:51 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.38/1.92 % (3272839)Input is clausal, will run a generic CNF schedule.
% 5.38/1.92 % (3272947)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=9609428:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.38/1.92 % (3272949)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3154055198:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.38/1.92 % (3272946)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1677393360:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.38/1.92 % (3272945)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=4187262711:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.38/1.92 % (3272951)dis-21_1_sil=8000:lcm=predicate:random_seed=3498724023: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)
% 5.38/1.92 % (3272950)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3347646475:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.38/1.92 % (3272948)lrs+10_1_sil=8000:sp=occurrence:random_seed=3645061329:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.38/1.92 % (3272951)Refutation not found, incomplete strategy
% 5.38/1.92 % (3272951)------------------------------
% 5.38/1.92 % (3272951)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/1.92 % (3272951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/1.92 % (3272951)CaDiCaL version: 2.1.3
% 5.38/1.92 % (3272951)Termination reason: Refutation not found, incomplete strategy
% 5.38/1.92 % (3272951)Time elapsed: 0.001 s
% 5.38/1.92 % (3272951)Peak memory usage: 88 MB
% 5.38/1.92 % (3272948)Instruction limit reached!
% 5.38/1.92 % (3272948)------------------------------
% 5.38/1.92 % (3272948)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/1.92 % (3272948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/1.92 % (3272948)CaDiCaL version: 2.1.3
% 5.38/1.92 % (3272948)Termination reason: Instruction limit
% 5.38/1.92 % (3272948)Termination phase: Saturation
% 5.38/1.92 % (3272948)Time elapsed: 0.065 s
% 5.38/1.92 % (3272948)Peak memory usage: 89 MB
% 5.38/1.92 % (3272948)Instructions burned: 107 (million)
% 5.38/1.92 % (3272949)Instruction limit reached!
% 5.38/1.92 % (3272949)------------------------------
% 5.38/1.92 % (3272949)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/1.92 % (3272949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/1.92 % (3272949)CaDiCaL version: 2.1.3
% 5.38/1.92 % (3272949)Termination reason: Instruction limit
% 5.38/1.92 % (3272949)Termination phase: Saturation
% 5.38/1.92 % (3272949)Time elapsed: 0.082 s
% 5.38/1.92 % (3272949)Peak memory usage: 89 MB
% 5.38/1.92 % (3272949)Instructions burned: 114 (million)
% 5.38/1.92 % (3272950)Instruction limit reached!
% 5.38/1.92 % (3272950)------------------------------
% 5.38/1.92 % (3272950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/1.92 % (3272950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/1.92 % (3272950)CaDiCaL version: 2.1.3
% 5.38/1.92 % (3272950)Termination reason: Instruction limit
% 5.38/1.92 % (3272950)Termination phase: Saturation
% 5.38/1.92 % (3272950)Time elapsed: 0.105 s
% 5.38/1.92 % (3272950)Peak memory usage: 90 MB
% 5.38/1.92 % (3272950)Instructions burned: 181 (million)
% 5.38/1.92 % (3272973)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2909988082: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)
% 5.38/1.92 % (3272951)------------------------------
% 5.38/1.92 % (3272951)------------------------------
% 5.38/1.92 % (3272973)Refutation not found, incomplete strategy
% 5.38/1.92 % (3272973)------------------------------
% 5.38/1.92 % (3272973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/1.92 % (3272973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/1.92 % (3272973)CaDiCaL version: 2.1.3
% 5.38/1.92 % (3272973)Termination reason: Refutation not found, incomplete strategy
% 5.38/1.92 % (3272973)Time elapsed: 0.002 s
% 5.38/1.92 % (3272973)Peak memory usage: 88 MB
% 5.38/1.92 % (3272966)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=4286896921:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 5.38/1.92 % (3272966)Refutation not found, incomplete strategy
% 5.38/1.92 % (3272966)------------------------------
% 5.38/1.92 % (3272966)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/1.92 % (3272966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/1.92 % (3272966)CaDiCaL version: 2.1.3
% 5.38/1.92 % (3272966)Termination reason: Refutation not found, incomplete strategy
% 5.38/1.92 % (3272966)Time elapsed: 0.001 s
% 5.38/1.92 % (3272966)Peak memory usage: 88 MB
% 5.38/1.92 % (3272974)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2383295687:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.38/1.92 % (3272974)Refutation not found, incomplete strategy
% 5.38/1.92 % (3272974)------------------------------
% 5.38/1.92 % (3272974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/1.92 % (3272974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/1.92 % (3272974)CaDiCaL version: 2.1.3
% 5.38/1.92 % (3272974)Termination reason: Refutation not found, incomplete strategy
% 5.38/1.92 % (3272974)Time elapsed: 0.001 s
% 5.38/1.92 % (3272974)Peak memory usage: 88 MB
% 5.38/1.92 % (3272976)lrs+10_64_to=lpo:sil=8000:random_seed=711826442:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 5.38/1.92 % (3272976)Instruction limit reached!
% 5.38/1.92 % (3272976)------------------------------
% 5.38/1.92 % (3272976)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/1.92 % (3272976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/1.92 % (3272976)CaDiCaL version: 2.1.3
% 5.38/1.92 % (3272976)Termination reason: Instruction limit
% 5.38/1.92 % (3272976)Termination phase: Saturation
% 5.38/1.92 % (3272976)Time elapsed: 0.040 s
% 5.38/1.92 % (3272976)Peak memory usage: 88 MB
% 5.38/1.92 % (3272976)Instructions burned: 129 (million)
% 5.38/1.92 % (3272973)------------------------------
% 5.38/1.92 % (3272973)------------------------------
% 5.38/1.92 % (3272947)First to succeed.
% 5.38/1.92 % (3272947)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3272839"
% 5.38/1.92 % (3272966)------------------------------
% 5.38/1.92 % (3272966)------------------------------
% 5.38/1.92 % (3272974)------------------------------
% 5.38/1.92 % (3272974)------------------------------
% 5.38/1.92 % (3272980)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1237712485:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 5.38/1.92 % (3272980)Instruction limit reached!
% 5.38/1.92 % (3272980)------------------------------
% 5.38/1.92 % (3272980)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/1.92 % (3272980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/1.92 % (3272980)CaDiCaL version: 2.1.3
% 5.38/1.92 % (3272980)Termination reason: Instruction limit
% 5.38/1.92 % (3272980)Termination phase: Saturation
% 5.38/1.92 % (3272980)Time elapsed: 0.080 s
% 5.38/1.92 % (3272980)Peak memory usage: 89 MB
% 5.38/1.92 % (3272980)Instructions burned: 195 (million)
% 5.38/1.92 % (3272981)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2411905371:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 5.38/1.92 % (3272982)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=195246997:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 5.38/1.92 % (3272983)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=488889377:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 5.38/1.92 % (3272946)Also succeeded, but the first one will report.
% 5.38/1.92 % (3272993)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1191536080:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 5.38/1.92 % (3272993)Refutation not found, incomplete strategy
% 5.38/1.92 % (3272993)------------------------------
% 5.38/1.92 % (3272993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/1.92 % (3272993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/1.92 % (3272993)CaDiCaL version: 2.1.3
% 5.38/1.92 % (3272993)Termination reason: Refutation not found, incomplete strategy
% 5.38/1.92 % (3272993)Time elapsed: 0.001 s
% 5.38/1.92 % (3272993)Peak memory usage: 88 MB
% 5.38/1.92 % (3272947)Refutation found. Thanks to Tanya!
% 5.38/1.92 % SZS status Unsatisfiable for theBenchmark
% 5.38/1.92 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/2.16 % (3272947)------------------------------
% 0.17/2.16 % (3272947)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/2.16 % (3272947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/2.16 % (3272947)CaDiCaL version: 2.1.3
% 0.17/2.16 % (3272947)Termination reason: Refutation
% 0.17/2.16 % (3272947)Time elapsed: 0.529 s
% 0.17/2.16 % (3272947)Peak memory usage: 131 MB
% 0.17/2.16 % (3272947)Instructions burned: 1151 (million)
% 0.17/2.16 % (3272947)------------------------------
% 0.17/2.16 % (3272947)------------------------------
% 0.17/2.16 % (3272839)Success in time 1.056 s
% 0.17/2.16 % Vampire exiting
%------------------------------------------------------------------------------