%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP076-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 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 10:12:31 AM UTC 2026
% Result : Unsatisfiable 8.87s 2.19s
% Output : Refutation 9.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 21
% Syntax : Number of formulae : 125 ( 114 unt; 16 def)
% Number of atoms : 142 ( 122 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 36 ( 19 ~; 14 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 7 ( 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 : 93 ( 0 sgn 93 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),double_divide(X1,identity))),double_divide(identity,identity)) = X2,
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)) ),
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)) ),
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(f48,plain,
( ~ spl13_1
| ~ spl13_2
| ~ spl13_3 ),
inference(avatar_split_clause,[],[f35,f45,f41,f37]) ).
fof(f51,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(double_divide(X1,identity),X2),X0),double_divide(X2,identity)) = double_divide(double_divide(X1,X0),double_divide(identity,identity)),
inference(superposition,[],[f1,f1]) ).
fof(f70,plain,
! [X0] : double_divide(double_divide(a1,double_divide(double_divide(sF1,X0),double_divide(sF0,identity))),double_divide(identity,identity)) = X0,
inference(superposition,[],[f1,f12]) ).
fof(f73,plain,
identity = double_divide(a1,sF0),
inference(superposition,[],[f7,f10]) ).
fof(f75,plain,
identity = double_divide(sF1,sF2),
inference(superposition,[],[f7,f14]) ).
fof(f82,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),identity) = double_divide(double_divide(X0,double_divide(identity,double_divide(X1,identity))),double_divide(identity,identity)),
inference(superposition,[],[f1,f7]) ).
fof(f83,plain,
identity = sF1,
inference(backward_demodulation,[],[f12,f73]) ).
fof(f84,plain,
identity = double_divide(identity,sF2),
inference(backward_demodulation,[],[f75,f83]) ).
fof(f85,plain,
! [X0] : double_divide(double_divide(a1,double_divide(double_divide(identity,X0),double_divide(sF0,identity))),double_divide(identity,identity)) = X0,
inference(backward_demodulation,[],[f70,f83]) ).
fof(f88,plain,
double_divide(identity,identity) = sF2,
inference(backward_demodulation,[],[f14,f83]) ).
fof(f89,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),double_divide(X1,identity))),sF2) = X2,
inference(backward_demodulation,[],[f1,f88]) ).
fof(f92,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(double_divide(X1,identity),X2),X0),double_divide(X2,identity)) = double_divide(double_divide(X1,X0),sF2),
inference(backward_demodulation,[],[f51,f88]) ).
fof(f112,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),identity) = double_divide(double_divide(X0,double_divide(identity,double_divide(X1,identity))),sF2),
inference(backward_demodulation,[],[f82,f88]) ).
fof(f115,plain,
! [X0] : double_divide(double_divide(a1,double_divide(double_divide(identity,X0),double_divide(sF0,identity))),sF2) = X0,
inference(forward_demodulation,[],[f85,f88]) ).
fof(f148,plain,
! [X0] : double_divide(double_divide(identity,double_divide(double_divide(identity,X0),double_divide(sF2,identity))),sF2) = X0,
inference(superposition,[],[f89,f84]) ).
fof(f157,plain,
! [X0] : double_divide(double_divide(X0,identity),identity) = double_divide(double_divide(X0,identity),sF2),
inference(superposition,[],[f112,f7]) ).
fof(f158,plain,
! [X0,X1] : sF2 = double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),identity),double_divide(double_divide(identity,double_divide(X1,identity)),identity))),sF2),
inference(superposition,[],[f89,f112]) ).
fof(f171,plain,
! [X2,X0,X1] : double_divide(double_divide(X1,sF2),sF2) = double_divide(X0,double_divide(double_divide(double_divide(double_divide(double_divide(X1,identity),X2),X0),double_divide(X2,identity)),identity)),
inference(superposition,[],[f92,f89]) ).
fof(f174,plain,
! [X0,X1] : double_divide(identity,double_divide(X1,identity)) = double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,identity),X1),identity)),sF2),
inference(superposition,[],[f92,f7]) ).
fof(f187,plain,
! [X0,X1] : double_divide(double_divide(X1,sF2),sF2) = double_divide(X0,double_divide(double_divide(double_divide(X1,X0),sF2),identity)),
inference(forward_demodulation,[],[f171,f92]) ).
fof(f201,plain,
! [X0] : double_divide(double_divide(X0,sF2),sF2) = double_divide(double_divide(X0,identity),double_divide(double_divide(identity,sF2),identity)),
inference(superposition,[],[f187,f7]) ).
fof(f210,plain,
double_divide(double_divide(a1,sF2),sF2) = double_divide(sF0,double_divide(double_divide(identity,sF2),identity)),
inference(superposition,[],[f187,f73]) ).
fof(f232,plain,
double_divide(double_divide(a1,sF2),sF2) = double_divide(sF0,double_divide(identity,identity)),
inference(forward_demodulation,[],[f210,f84]) ).
fof(f236,plain,
! [X0] : double_divide(double_divide(X0,sF2),sF2) = double_divide(double_divide(X0,identity),double_divide(identity,identity)),
inference(forward_demodulation,[],[f201,f84]) ).
fof(f238,plain,
double_divide(double_divide(a1,sF2),sF2) = double_divide(sF0,sF2),
inference(forward_demodulation,[],[f232,f88]) ).
fof(f241,plain,
! [X0] : double_divide(double_divide(X0,identity),sF2) = double_divide(double_divide(X0,sF2),sF2),
inference(forward_demodulation,[],[f236,f88]) ).
fof(f246,plain,
! [X0] : double_divide(double_divide(X0,identity),identity) = double_divide(double_divide(X0,sF2),sF2),
inference(forward_demodulation,[],[f241,f157]) ).
fof(f257,plain,
double_divide(sF0,sF2) = double_divide(double_divide(a1,identity),identity),
inference(backward_demodulation,[],[f238,f246]) ).
fof(f274,plain,
double_divide(sF0,identity) = double_divide(sF0,sF2),
inference(forward_demodulation,[],[f257,f10]) ).
fof(f282,plain,
! [X0] : double_divide(double_divide(sF0,double_divide(double_divide(double_divide(sF0,identity),X0),double_divide(sF2,identity))),sF2) = X0,
inference(superposition,[],[f89,f274]) ).
fof(f285,plain,
! [X0] : double_divide(X0,sF2) = double_divide(double_divide(double_divide(a1,double_divide(double_divide(identity,X0),double_divide(sF0,identity))),identity),identity),
inference(superposition,[],[f246,f115]) ).
fof(f287,plain,
double_divide(double_divide(identity,identity),identity) = double_divide(identity,sF2),
inference(superposition,[],[f246,f84]) ).
fof(f294,plain,
identity = double_divide(double_divide(identity,identity),identity),
inference(forward_demodulation,[],[f287,f84]) ).
fof(f297,plain,
identity = double_divide(sF2,identity),
inference(forward_demodulation,[],[f294,f88]) ).
fof(f299,plain,
! [X0] : double_divide(double_divide(identity,double_divide(double_divide(identity,X0),identity)),sF2) = X0,
inference(backward_demodulation,[],[f148,f297]) ).
fof(f302,plain,
! [X0] : double_divide(double_divide(sF0,double_divide(double_divide(double_divide(sF0,identity),X0),identity)),sF2) = X0,
inference(backward_demodulation,[],[f282,f297]) ).
fof(f305,plain,
! [X0] : double_divide(identity,double_divide(X0,identity)) = X0,
inference(forward_demodulation,[],[f302,f174]) ).
fof(f306,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),identity) = double_divide(double_divide(X0,X1),sF2),
inference(backward_demodulation,[],[f112,f305]) ).
fof(f307,plain,
! [X0,X1] : sF2 = double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),identity),double_divide(X1,identity))),sF2),
inference(backward_demodulation,[],[f158,f305]) ).
fof(f312,plain,
! [X0] : double_divide(double_divide(identity,X0),sF2) = X0,
inference(backward_demodulation,[],[f299,f305]) ).
fof(f322,plain,
identity = sF2,
inference(forward_demodulation,[],[f307,f89]) ).
fof(f343,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),double_divide(X1,identity))),identity) = X2,
inference(backward_demodulation,[],[f89,f306]) ).
fof(f366,plain,
! [X0] : double_divide(double_divide(identity,X0),identity) = X0,
inference(backward_demodulation,[],[f312,f306]) ).
fof(f368,plain,
! [X0] : double_divide(double_divide(a1,double_divide(double_divide(identity,X0),double_divide(sF0,identity))),identity) = X0,
inference(backward_demodulation,[],[f115,f306]) ).
fof(f389,plain,
spl13_3,
inference(avatar_split_clause,[],[f322,f45]) ).
fof(f396,plain,
! [X0] : double_divide(X0,identity) = double_divide(X0,sF2),
inference(backward_demodulation,[],[f285,f368]) ).
fof(f414,plain,
identity = double_divide(identity,identity),
inference(backward_demodulation,[],[f84,f396]) ).
fof(f437,plain,
a2 = double_divide(identity,sF3),
inference(superposition,[],[f305,f16]) ).
fof(f445,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(X0,X1),double_divide(double_divide(X0,identity),identity))),identity) = X1,
inference(superposition,[],[f343,f305]) ).
fof(f468,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(double_divide(double_divide(X1,X2),X0),double_divide(X2,identity))) = double_divide(identity,X0),
inference(superposition,[],[f305,f343]) ).
fof(f481,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),double_divide(double_divide(X0,identity),identity)) = X1,
inference(forward_demodulation,[],[f445,f366]) ).
fof(f516,plain,
! [X0,X1] : double_divide(identity,X1) = double_divide(double_divide(identity,X0),double_divide(double_divide(X0,X1),double_divide(identity,identity))),
inference(superposition,[],[f468,f366]) ).
fof(f533,plain,
! [X2,X3,X0,X1] : double_divide(identity,double_divide(double_divide(double_divide(double_divide(X1,X2),X3),X0),double_divide(X3,identity))) = double_divide(X1,double_divide(double_divide(identity,X0),double_divide(X2,identity))),
inference(superposition,[],[f468,f468]) ).
fof(f568,plain,
! [X0,X1] : double_divide(identity,X1) = double_divide(double_divide(identity,X0),double_divide(double_divide(X0,X1),identity)),
inference(forward_demodulation,[],[f516,f414]) ).
fof(f582,plain,
! [X2,X0,X1] : double_divide(identity,double_divide(double_divide(double_divide(X1,X2),X0),double_divide(X2,identity))) = double_divide(double_divide(identity,X1),double_divide(double_divide(identity,X0),identity)),
inference(superposition,[],[f568,f468]) ).
fof(f606,plain,
! [X0,X1] : double_divide(double_divide(X1,X0),identity) = double_divide(double_divide(identity,X0),double_divide(double_divide(double_divide(identity,X1),identity),identity)),
inference(superposition,[],[f481,f568]) ).
fof(f607,plain,
! [X0,X1] : double_divide(double_divide(X1,X0),identity) = double_divide(double_divide(identity,X0),double_divide(X1,identity)),
inference(forward_demodulation,[],[f606,f366]) ).
fof(f625,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,X1),X0) = double_divide(identity,double_divide(double_divide(double_divide(X1,X2),X0),double_divide(X2,identity))),
inference(forward_demodulation,[],[f582,f366]) ).
fof(f635,plain,
! [X0,X1] : double_divide(identity,X1) = double_divide(double_divide(double_divide(X0,X1),X0),identity),
inference(backward_demodulation,[],[f568,f607]) ).
fof(f636,plain,
! [X2,X3,X0,X1] : double_divide(identity,double_divide(double_divide(double_divide(double_divide(X1,X2),X3),X0),double_divide(X3,identity))) = double_divide(X1,double_divide(double_divide(X2,X0),identity)),
inference(backward_demodulation,[],[f533,f607]) ).
fof(f653,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(double_divide(X2,X0),identity)) = double_divide(double_divide(identity,double_divide(X1,X2)),X0),
inference(forward_demodulation,[],[f636,f625]) ).
fof(f696,plain,
! [X0] : double_divide(X0,identity) = double_divide(identity,X0),
inference(superposition,[],[f635,f366]) ).
fof(f821,plain,
sF4 = double_divide(identity,sF3),
inference(superposition,[],[f18,f696]) ).
fof(f822,plain,
sF6 = double_divide(identity,sF5),
inference(superposition,[],[f22,f696]) ).
fof(f823,plain,
sF8 = double_divide(identity,sF7),
inference(superposition,[],[f26,f696]) ).
fof(f824,plain,
sF10 = double_divide(identity,sF9),
inference(superposition,[],[f30,f696]) ).
fof(f831,plain,
a2 = sF4,
inference(forward_demodulation,[],[f821,f437]) ).
fof(f836,plain,
spl13_2,
inference(avatar_split_clause,[],[f831,f41]) ).
fof(f999,plain,
! [X0] : double_divide(double_divide(identity,sF9),X0) = double_divide(c3,double_divide(double_divide(b3,X0),identity)),
inference(superposition,[],[f653,f28]) ).
fof(f1048,plain,
! [X0] : double_divide(double_divide(identity,sF9),X0) = double_divide(c3,double_divide(identity,double_divide(b3,X0))),
inference(forward_demodulation,[],[f999,f696]) ).
fof(f1082,plain,
! [X0] : double_divide(sF10,X0) = double_divide(c3,double_divide(identity,double_divide(b3,X0))),
inference(forward_demodulation,[],[f1048,f824]) ).
fof(f1123,plain,
double_divide(sF10,a3) = double_divide(c3,double_divide(identity,sF5)),
inference(superposition,[],[f1082,f20]) ).
fof(f1136,plain,
double_divide(c3,sF6) = double_divide(sF10,a3),
inference(forward_demodulation,[],[f1123,f822]) ).
fof(f1141,plain,
double_divide(c3,sF6) = sF11,
inference(forward_demodulation,[],[f1136,f32]) ).
fof(f1144,plain,
sF7 = sF11,
inference(forward_demodulation,[],[f1141,f24]) ).
fof(f1148,plain,
double_divide(sF7,identity) = sF12,
inference(backward_demodulation,[],[f34,f1144]) ).
fof(f1168,plain,
sF12 = double_divide(identity,sF7),
inference(forward_demodulation,[],[f1148,f696]) ).
fof(f1174,plain,
sF8 = sF12,
inference(forward_demodulation,[],[f1168,f823]) ).
fof(f1176,plain,
( $false
| spl13_1 ),
inference(forward_subsumption_resolution,[],[f1174,f39]) ).
fof(f1177,plain,
spl13_1,
inference(avatar_contradiction_clause,[],[f1176]) ).
cnf(s1,plain,
( ~ spl13_1
| ~ spl13_2
| ~ spl13_3 ),
inference(sat_conversion,[],[f48]) ).
cnf(s2,plain,
spl13_3,
inference(sat_conversion,[],[f389]) ).
cnf(s5,plain,
spl13_2,
inference(sat_conversion,[],[f836]) ).
cnf(s8,plain,
spl13_1,
inference(sat_conversion,[],[f1177]) ).
cnf(s9,plain,
$false,
inference(rat,[],[s1,s2,s5,s8]) ).
fof(f1179,plain,
$false,
inference(avatar_sat_refutation,[],[s9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP076-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 % Computer : n002.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 09:20:52 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.45 Running first-order theorem proving
% 0.13/0.46 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
% 8.87/2.18 % (3272969)Input is clausal, will run a generic CNF schedule.
% 8.87/2.18 % (3272990)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1099460833:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 8.87/2.18 % (3272992)dis-21_1_sil=8000:lcm=predicate:random_seed=3178256768: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)
% 8.87/2.18 % (3272992)Refutation not found, incomplete strategy
% 8.87/2.18 % (3272992)------------------------------
% 8.87/2.18 % (3272992)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.87/2.18 % (3272992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.87/2.18 % (3272992)CaDiCaL version: 2.1.3
% 8.87/2.18 % (3272992)Termination reason: Refutation not found, incomplete strategy
% 8.87/2.18 % (3272992)Time elapsed: 0.002 s
% 8.87/2.18 % (3272992)Peak memory usage: 88 MB
% 8.87/2.18 % (3272987)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3498462150:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 8.87/2.18 % (3272988)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=949542172:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 8.87/2.18 % (3272990)Instruction limit reached!
% 8.87/2.18 % (3272990)------------------------------
% 8.87/2.18 % (3272990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.87/2.18 % (3272990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.87/2.18 % (3272990)CaDiCaL version: 2.1.3
% 8.87/2.18 % (3272990)Termination reason: Instruction limit
% 8.87/2.18 % (3272990)Termination phase: Saturation
% 8.87/2.18 % (3272990)Time elapsed: 0.051 s
% 8.87/2.18 % (3272990)Peak memory usage: 89 MB
% 8.87/2.18 % (3272990)Instructions burned: 115 (million)
% 8.87/2.18 % (3272989)lrs+10_1_sil=8000:sp=occurrence:random_seed=4055867102:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 8.87/2.18 % (3272991)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1083622272:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 8.87/2.18 % (3272986)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=1042094896:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 8.87/2.18 % (3272989)Instruction limit reached!
% 8.87/2.18 % (3272989)------------------------------
% 8.87/2.18 % (3272989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.87/2.18 % (3272989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.87/2.18 % (3272989)CaDiCaL version: 2.1.3
% 8.87/2.18 % (3272989)Termination reason: Instruction limit
% 8.87/2.18 % (3272989)Termination phase: Saturation
% 8.87/2.18 % (3272989)Time elapsed: 0.108 s
% 8.87/2.18 % (3272989)Peak memory usage: 89 MB
% 8.87/2.18 % (3272989)Instructions burned: 107 (million)
% 8.87/2.18 % (3272999)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=806068609:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 8.87/2.18 % (3272999)Refutation not found, incomplete strategy
% 8.87/2.18 % (3272999)------------------------------
% 8.87/2.18 % (3272999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.87/2.18 % (3272999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.87/2.18 % (3272999)CaDiCaL version: 2.1.3
% 8.87/2.18 % (3272999)Termination reason: Refutation not found, incomplete strategy
% 8.87/2.18 % (3272999)Time elapsed: 0.0000 s
% 8.87/2.18 % (3272999)Peak memory usage: 88 MB
% 8.87/2.18 % (3272991)Instruction limit reached!
% 8.87/2.18 % (3272991)------------------------------
% 8.87/2.18 % (3272991)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.87/2.18 % (3272991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.87/2.18 % (3272991)CaDiCaL version: 2.1.3
% 8.87/2.18 % (3272991)Termination reason: Instruction limit
% 8.87/2.18 % (3272991)Termination phase: Saturation
% 8.87/2.18 % (3272991)Time elapsed: 0.166 s
% 8.87/2.18 % (3272991)Peak memory usage: 90 MB
% 8.87/2.18 % (3272991)Instructions burned: 180 (million)
% 8.87/2.18 % (3273006)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1935368174: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)
% 8.87/2.18 % (3273006)Refutation not found, incomplete strategy
% 8.87/2.18 % (3273006)------------------------------
% 8.87/2.18 % (3273006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.87/2.18 % (3273006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.87/2.18 % (3273006)CaDiCaL version: 2.1.3
% 8.87/2.18 % (3273006)Termination reason: Refutation not found, incomplete strategy
% 8.87/2.18 % (3273006)Time elapsed: 0.001 s
% 8.87/2.18 % (3273006)Peak memory usage: 88 MB
% 8.87/2.18 % (3272992)------------------------------
% 8.87/2.18 % (3272992)------------------------------
% 8.87/2.18 % (3272999)------------------------------
% 8.87/2.18 % (3272999)------------------------------
% 8.87/2.18 % (3273008)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=4246490708:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 8.87/2.18 % (3273008)Refutation not found, incomplete strategy
% 8.87/2.18 % (3273008)------------------------------
% 8.87/2.18 % (3273008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.87/2.18 % (3273008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.87/2.18 % (3273008)CaDiCaL version: 2.1.3
% 8.87/2.18 % (3273008)Termination reason: Refutation not found, incomplete strategy
% 8.87/2.18 % (3273008)Time elapsed: 0.001 s
% 8.87/2.18 % (3273008)Peak memory usage: 88 MB
% 8.87/2.18 % (3273011)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3366017342:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 8.87/2.18 % (3273010)lrs+10_64_to=lpo:sil=8000:random_seed=4121957307:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 8.87/2.18 % (3273011)Instruction limit reached!
% 8.87/2.18 % (3273011)------------------------------
% 8.87/2.18 % (3273011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.87/2.18 % (3273011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.87/2.18 % (3273011)CaDiCaL version: 2.1.3
% 8.87/2.18 % (3273011)Termination reason: Instruction limit
% 8.87/2.18 % (3273011)Termination phase: Saturation
% 8.87/2.18 % (3273011)Time elapsed: 0.062 s
% 8.87/2.18 % (3273011)Peak memory usage: 89 MB
% 8.87/2.18 % (3273011)Instructions burned: 194 (million)
% 8.87/2.18 % (3273010)Instruction limit reached!
% 8.87/2.18 % (3273010)------------------------------
% 8.87/2.18 % (3273010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.87/2.18 % (3273010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.87/2.18 % (3273010)CaDiCaL version: 2.1.3
% 8.87/2.18 % (3273010)Termination reason: Instruction limit
% 8.87/2.18 % (3273010)Termination phase: Saturation
% 8.87/2.18 % (3273010)Time elapsed: 0.076 s
% 8.87/2.18 % (3273010)Peak memory usage: 88 MB
% 8.87/2.18 % (3273010)Instructions burned: 126 (million)
% 8.87/2.18 % (3273006)------------------------------
% 8.87/2.18 % (3273006)------------------------------
% 8.87/2.18 % (3273016)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2977997485:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 8.87/2.18 % (3273016)Instruction limit reached!
% 8.87/2.18 % (3273016)------------------------------
% 8.87/2.18 % (3273016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.87/2.19 % (3273016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.87/2.19 % (3273016)CaDiCaL version: 2.1.3
% 8.87/2.19 % (3273016)Termination reason: Instruction limit
% 8.87/2.19 % (3273016)Termination phase: Saturation
% 8.87/2.19 % (3273016)Time elapsed: 0.049 s
% 8.87/2.19 % (3273016)Peak memory usage: 91 MB
% 8.87/2.19 % (3273016)Instructions burned: 157 (million)
% 8.87/2.19 % (3273017)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3861678574:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 8.87/2.19 % (3273008)------------------------------
% 8.87/2.19 % (3273008)------------------------------
% 8.87/2.19 % (3273018)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=1895672042:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 8.87/2.19 % (3273044)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1484443724:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 8.87/2.19 % (3273044)Refutation not found, incomplete strategy
% 8.87/2.19 % (3273044)------------------------------
% 8.87/2.19 % (3273044)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.87/2.19 % (3273044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.87/2.19 % (3273044)CaDiCaL version: 2.1.3
% 8.87/2.19 % (3273044)Termination reason: Refutation not found, incomplete strategy
% 8.87/2.19 % (3273044)Time elapsed: 0.001 s
% 8.87/2.19 % (3273044)Peak memory usage: 88 MB
% 8.87/2.19 % (3273018)Instruction limit reached!
% 8.87/2.19 % (3273018)------------------------------
% 8.87/2.19 % (3273018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.87/2.19 % (3273018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.87/2.19 % (3273018)CaDiCaL version: 2.1.3
% 8.87/2.19 % (3273018)Termination reason: Instruction limit
% 8.87/2.19 % (3273018)Termination phase: Saturation
% 8.87/2.19 % (3273018)Time elapsed: 0.064 s
% 8.87/2.19 % (3273018)Peak memory usage: 89 MB
% 8.87/2.19 % (3273018)Instructions burned: 106 (million)
% 8.87/2.19 % (3273061)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=770818650:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 8.87/2.19 % (3272988)First to succeed.
% 8.87/2.19 % (3272988)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3272969"
% 8.87/2.19 % (3273082)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2944627358:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 8.87/2.19 % (3272987)Also succeeded, but the first one will report.
% 8.87/2.19 % (3273044)------------------------------
% 8.87/2.19 % (3273044)------------------------------
% 8.87/2.19 % (3273061)Instruction limit reached!
% 8.87/2.19 % (3273061)------------------------------
% 8.87/2.19 % (3273061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.87/2.19 % (3273061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.87/2.19 % (3273061)CaDiCaL version: 2.1.3
% 8.87/2.19 % (3273061)Termination reason: Instruction limit
% 8.87/2.19 % (3273061)Termination phase: Saturation
% 8.87/2.19 % (3273061)Time elapsed: 0.137 s
% 8.87/2.19 % (3273061)Peak memory usage: 91 MB
% 8.87/2.19 % (3273061)Instructions burned: 244 (million)
% 8.87/2.19 % (3273119)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3639276243:i=134:sd=2:doe=on:ss=axioms:sgt=14_2989 on theBenchmark for (2989ds/134Mi)
% 8.87/2.19 % (3273119)Instruction limit reached!
% 8.87/2.19 % (3273119)------------------------------
% 8.87/2.19 % (3273119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.87/2.19 % (3273119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.87/2.19 % (3273119)CaDiCaL version: 2.1.3
% 8.87/2.19 % (3273119)Termination reason: Instruction limit
% 8.87/2.19 % (3273119)Termination phase: Saturation
% 8.87/2.19 % (3273119)Time elapsed: 0.044 s
% 8.87/2.19 % (3273119)Peak memory usage: 90 MB
% 8.87/2.19 % (3273119)Instructions burned: 135 (million)
% 8.87/2.19 % (3273126)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=4030138098:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 8.87/2.19 % (3272988)Refutation found. Thanks to Tanya!
% 8.87/2.19 % SZS status Unsatisfiable for theBenchmark
% 8.87/2.19 % SZS output start Proof for theBenchmark
% See solution above
% 9.53/2.38 % (3272988)------------------------------
% 9.53/2.38 % (3272988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.53/2.38 % (3272988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.53/2.38 % (3272988)CaDiCaL version: 2.1.3
% 9.53/2.38 % (3272988)Termination reason: Refutation
% 9.53/2.38 % (3272988)Time elapsed: 0.807 s
% 9.53/2.38 % (3272988)Peak memory usage: 131 MB
% 9.53/2.38 % (3272988)Instructions burned: 1140 (million)
% 9.53/2.38 % (3272988)------------------------------
% 9.53/2.38 % (3272988)------------------------------
% 9.53/2.38 % (3272969)Success in time 1.251 s
% 9.53/2.38 % Vampire exiting
%------------------------------------------------------------------------------