%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP102-1 : 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 : n012.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 5.63s 1.61s
% Output : Refutation 7.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 62
% Number of leaves : 5
% Syntax : Number of formulae : 202 ( 179 unt; 0 def)
% Number of atoms : 262 ( 261 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 145 ( 85 ~; 60 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 444 ( 444 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),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))
| 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,
( 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)
| a2 != double_divide(double_divide(a2,identity),identity)
| identity != double_divide(double_divide(a1,double_divide(a1,identity)),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(f11,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(X2,double_divide(identity,X1)),X0),double_divide(X2,identity)) = double_divide(double_divide(X1,X0),double_divide(identity,identity)),
inference(superposition,[],[f1,f1]) ).
fof(f12,plain,
! [X0,X1] : double_divide(double_divide(double_divide(X0,identity),double_divide(double_divide(identity,X1),double_divide(X0,identity))),double_divide(identity,identity)) = X1,
inference(superposition,[],[f1,f7]) ).
fof(f13,plain,
! [X0,X1] : double_divide(double_divide(X1,X0),identity) = double_divide(double_divide(X0,double_divide(identity,double_divide(X1,identity))),double_divide(identity,identity)),
inference(superposition,[],[f1,f7]) ).
fof(f26,plain,
! [X0] : double_divide(double_divide(identity,X0),identity) = double_divide(double_divide(X0,identity),double_divide(identity,identity)),
inference(superposition,[],[f13,f7]) ).
fof(f29,plain,
! [X0,X1] : double_divide(double_divide(X1,double_divide(identity,double_divide(X0,identity))),double_divide(identity,identity)) = double_divide(double_divide(X0,double_divide(identity,double_divide(identity,X1))),identity),
inference(superposition,[],[f11,f13]) ).
fof(f34,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),identity) = double_divide(double_divide(X0,double_divide(identity,double_divide(identity,X1))),identity),
inference(forward_demodulation,[],[f29,f13]) ).
fof(f62,plain,
! [X0] : double_divide(double_divide(double_divide(double_divide(identity,X0),identity),identity),double_divide(identity,identity)) = X0,
inference(superposition,[],[f12,f7]) ).
fof(f66,plain,
! [X0] : double_divide(double_divide(identity,double_divide(double_divide(identity,X0),identity)),identity) = X0,
inference(forward_demodulation,[],[f62,f26]) ).
fof(f70,plain,
! [X0] : double_divide(identity,double_divide(identity,X0)) = double_divide(double_divide(identity,double_divide(double_divide(identity,X0),identity)),identity),
inference(superposition,[],[f66,f34]) ).
fof(f78,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(X0,X1),X0)),double_divide(identity,identity)) = X1,
inference(superposition,[],[f1,f66]) ).
fof(f79,plain,
! [X0] : double_divide(identity,double_divide(identity,X0)) = X0,
inference(forward_demodulation,[],[f70,f66]) ).
fof(f81,plain,
! [X0] : double_divide(identity,X0) = double_divide(double_divide(identity,double_divide(X0,identity)),identity),
inference(superposition,[],[f66,f79]) ).
fof(f84,plain,
! [X0] : double_divide(double_divide(X0,identity),double_divide(identity,identity)) = double_divide(double_divide(X0,identity),identity),
inference(superposition,[],[f13,f79]) ).
fof(f117,plain,
! [X0] : double_divide(X0,identity) = double_divide(X0,double_divide(identity,identity)),
inference(superposition,[],[f84,f66]) ).
fof(f122,plain,
! [X0] : double_divide(double_divide(identity,X0),identity) = double_divide(double_divide(X0,identity),identity),
inference(superposition,[],[f26,f84]) ).
fof(f127,plain,
! [X0] : double_divide(identity,identity) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(X0,identity),identity),double_divide(X0,identity))),double_divide(identity,identity)),
inference(superposition,[],[f78,f84]) ).
fof(f130,plain,
identity = double_divide(identity,identity),
inference(forward_demodulation,[],[f127,f1]) ).
fof(f231,plain,
! [X0] : double_divide(double_divide(double_divide(identity,X0),identity),identity) = double_divide(double_divide(identity,double_divide(X0,identity)),identity),
inference(superposition,[],[f122,f122]) ).
fof(f232,plain,
! [X0] : double_divide(double_divide(identity,double_divide(double_divide(X0,identity),identity)),identity) = X0,
inference(superposition,[],[f66,f122]) ).
fof(f234,plain,
! [X0] : identity = double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,identity),identity),double_divide(identity,identity))),double_divide(identity,identity)),
inference(superposition,[],[f1,f122]) ).
fof(f265,plain,
! [X0] : identity = double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,identity),identity),double_divide(identity,identity))),identity),
inference(forward_demodulation,[],[f234,f117]) ).
fof(f267,plain,
! [X0] : double_divide(identity,double_divide(X0,identity)) = X0,
inference(forward_demodulation,[],[f232,f81]) ).
fof(f268,plain,
! [X0] : double_divide(identity,X0) = double_divide(double_divide(double_divide(identity,X0),identity),identity),
inference(forward_demodulation,[],[f231,f81]) ).
fof(f276,plain,
! [X0] : identity = double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,identity),identity),identity)),identity),
inference(forward_demodulation,[],[f265,f117]) ).
fof(f278,plain,
! [X0] : double_divide(identity,X0) = double_divide(double_divide(identity,double_divide(identity,X0)),identity),
inference(forward_demodulation,[],[f268,f122]) ).
fof(f283,plain,
! [X0] : identity = double_divide(double_divide(X0,double_divide(double_divide(identity,double_divide(X0,identity)),identity)),identity),
inference(forward_demodulation,[],[f276,f122]) ).
fof(f284,plain,
! [X0] : double_divide(X0,identity) = double_divide(identity,X0),
inference(forward_demodulation,[],[f278,f79]) ).
fof(f288,plain,
! [X0] : identity = double_divide(double_divide(X0,double_divide(identity,X0)),identity),
inference(forward_demodulation,[],[f283,f81]) ).
fof(f289,plain,
! [X0] : identity = double_divide(identity,double_divide(X0,double_divide(identity,X0))),
inference(forward_demodulation,[],[f288,f284]) ).
fof(f298,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),identity) = double_divide(double_divide(X1,double_divide(identity,double_divide(identity,X0))),double_divide(identity,identity)),
inference(superposition,[],[f13,f284]) ).
fof(f337,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),identity) = double_divide(double_divide(X1,double_divide(identity,double_divide(identity,X0))),identity),
inference(forward_demodulation,[],[f298,f117]) ).
fof(f360,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),identity) = double_divide(identity,double_divide(X1,double_divide(identity,double_divide(identity,X0)))),
inference(forward_demodulation,[],[f337,f284]) ).
fof(f374,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),identity) = double_divide(identity,double_divide(X1,X0)),
inference(forward_demodulation,[],[f360,f79]) ).
fof(f379,plain,
! [X0,X1] : double_divide(identity,double_divide(X0,X1)) = double_divide(identity,double_divide(X1,X0)),
inference(forward_demodulation,[],[f374,f284]) ).
fof(f413,plain,
! [X2,X0,X1] : double_divide(identity,X0) = double_divide(identity,double_divide(double_divide(identity,identity),double_divide(X1,double_divide(double_divide(double_divide(X2,X1),X0),double_divide(X2,identity))))),
inference(superposition,[],[f379,f1]) ).
fof(f442,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(X0,double_divide(X0,X1))),double_divide(identity,identity)) = X1,
inference(superposition,[],[f78,f379]) ).
fof(f447,plain,
! [X2,X0,X1] : double_divide(double_divide(X2,double_divide(X1,X0)),identity) = double_divide(double_divide(X2,double_divide(identity,double_divide(identity,double_divide(X0,X1)))),identity),
inference(superposition,[],[f34,f379]) ).
fof(f449,plain,
! [X0,X1] : double_divide(X1,X0) = double_divide(identity,double_divide(identity,double_divide(X0,X1))),
inference(superposition,[],[f79,f379]) ).
fof(f458,plain,
! [X0,X1] : double_divide(X1,X0) = double_divide(X0,X1),
inference(forward_demodulation,[],[f449,f79]) ).
fof(f460,plain,
! [X2,X0,X1] : double_divide(double_divide(X2,double_divide(X1,X0)),identity) = double_divide(identity,double_divide(X2,double_divide(identity,double_divide(identity,double_divide(X0,X1))))),
inference(forward_demodulation,[],[f447,f284]) ).
fof(f464,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(X0,double_divide(X0,X1))),identity) = X1,
inference(forward_demodulation,[],[f442,f117]) ).
fof(f491,plain,
! [X2,X0,X1] : double_divide(identity,X0) = double_divide(identity,double_divide(identity,double_divide(X1,double_divide(double_divide(double_divide(X2,X1),X0),double_divide(X2,identity))))),
inference(forward_demodulation,[],[f413,f130]) ).
fof(f509,plain,
! [X2,X0,X1] : double_divide(double_divide(X2,double_divide(X1,X0)),identity) = double_divide(identity,double_divide(X2,double_divide(X0,X1))),
inference(forward_demodulation,[],[f460,f79]) ).
fof(f513,plain,
! [X0,X1] : double_divide(identity,double_divide(identity,double_divide(X0,double_divide(X0,X1)))) = X1,
inference(forward_demodulation,[],[f464,f284]) ).
fof(f536,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(double_divide(double_divide(X2,X1),X0),double_divide(X2,identity))) = double_divide(identity,X0),
inference(forward_demodulation,[],[f491,f79]) ).
fof(f551,plain,
! [X2,X0,X1] : double_divide(identity,double_divide(X2,double_divide(X0,X1))) = double_divide(identity,double_divide(X2,double_divide(X1,X0))),
inference(forward_demodulation,[],[f509,f284]) ).
fof(f553,plain,
! [X0,X1] : double_divide(X0,double_divide(X0,X1)) = X1,
inference(forward_demodulation,[],[f513,f79]) ).
fof(f567,plain,
! [X2,X0,X1] : double_divide(identity,X0) = double_divide(X1,double_divide(double_divide(X2,identity),double_divide(double_divide(X2,X1),X0))),
inference(forward_demodulation,[],[f536,f458]) ).
fof(f616,plain,
! [X2,X0,X1] : double_divide(double_divide(X2,X1),X0) = double_divide(double_divide(X1,double_divide(X0,double_divide(X2,identity))),double_divide(identity,identity)),
inference(superposition,[],[f1,f553]) ).
fof(f625,plain,
! [X2,X0,X1] : double_divide(double_divide(X2,X1),X0) = double_divide(double_divide(X1,double_divide(X0,double_divide(X2,identity))),identity),
inference(forward_demodulation,[],[f616,f117]) ).
fof(f641,plain,
! [X2,X0,X1] : double_divide(double_divide(X2,X1),X0) = double_divide(identity,double_divide(X1,double_divide(X0,double_divide(X2,identity)))),
inference(forward_demodulation,[],[f625,f284]) ).
fof(f730,plain,
! [X0,X1] : double_divide(X1,double_divide(X0,X1)) = X0,
inference(superposition,[],[f553,f458]) ).
fof(f1039,plain,
! [X0,X1] : double_divide(double_divide(identity,X1),double_divide(X0,identity)) = double_divide(double_divide(X0,X1),double_divide(identity,identity)),
inference(superposition,[],[f11,f730]) ).
fof(f1054,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(X1,X0),X2),double_divide(X1,identity)) = double_divide(double_divide(double_divide(X0,identity),X2),double_divide(identity,identity)),
inference(superposition,[],[f11,f730]) ).
fof(f1062,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(X1,X0),X2),double_divide(X1,identity)) = double_divide(double_divide(double_divide(X0,identity),X2),identity),
inference(forward_demodulation,[],[f1054,f117]) ).
fof(f1073,plain,
! [X0,X1] : double_divide(double_divide(identity,X1),double_divide(X0,identity)) = double_divide(double_divide(X0,X1),identity),
inference(forward_demodulation,[],[f1039,f117]) ).
fof(f1091,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(X1,X0),X2),double_divide(X1,identity)) = double_divide(identity,double_divide(double_divide(X0,identity),X2)),
inference(forward_demodulation,[],[f1062,f284]) ).
fof(f1101,plain,
! [X0,X1] : double_divide(double_divide(identity,X1),double_divide(X0,identity)) = double_divide(identity,double_divide(X0,X1)),
inference(forward_demodulation,[],[f1073,f284]) ).
fof(f1110,plain,
! [X2,X0,X1] : double_divide(double_divide(X1,identity),double_divide(double_divide(X1,X0),X2)) = double_divide(identity,double_divide(double_divide(X0,identity),X2)),
inference(forward_demodulation,[],[f1091,f458]) ).
fof(f1233,plain,
! [X2,X0,X1] : double_divide(X2,double_divide(double_divide(X1,identity),X0)) = double_divide(identity,double_divide(double_divide(X1,X2),X0)),
inference(superposition,[],[f567,f553]) ).
fof(f1234,plain,
! [X2,X3,X0,X1] : double_divide(identity,double_divide(double_divide(X1,identity),double_divide(double_divide(X1,double_divide(X2,X3)),X0))) = double_divide(X3,double_divide(double_divide(X2,identity),double_divide(identity,X0))),
inference(superposition,[],[f567,f567]) ).
fof(f1291,plain,
! [X2,X3,X0] : double_divide(X3,double_divide(double_divide(X2,identity),double_divide(identity,X0))) = double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(X2,X3),identity),X0))),
inference(forward_demodulation,[],[f1234,f1110]) ).
fof(f1330,plain,
! [X2,X3,X0] : double_divide(X3,double_divide(double_divide(X2,identity),double_divide(identity,X0))) = double_divide(double_divide(double_divide(X2,X3),identity),X0),
inference(forward_demodulation,[],[f1291,f553]) ).
fof(f1362,plain,
! [X2,X3,X0] : double_divide(X3,double_divide(double_divide(X2,identity),double_divide(identity,X0))) = double_divide(double_divide(identity,double_divide(X2,X3)),X0),
inference(forward_demodulation,[],[f1330,f284]) ).
fof(f1477,plain,
! [X0,X1] : double_divide(double_divide(X0,identity),double_divide(X1,identity)) = double_divide(identity,double_divide(X1,X0)),
inference(superposition,[],[f1101,f458]) ).
fof(f1479,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,identity)) = double_divide(identity,double_divide(X1,double_divide(X0,identity))),
inference(superposition,[],[f1101,f730]) ).
fof(f1483,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,identity)) = double_divide(identity,double_divide(X1,double_divide(identity,X0))),
inference(superposition,[],[f1101,f553]) ).
fof(f1489,plain,
! [X0,X1] : double_divide(double_divide(identity,X1),X0) = double_divide(identity,double_divide(double_divide(identity,double_divide(double_divide(identity,X0),identity)),X1)),
inference(superposition,[],[f1101,f66]) ).
fof(f1490,plain,
! [X0,X1] : double_divide(double_divide(identity,X1),double_divide(double_divide(X0,identity),identity)) = double_divide(identity,double_divide(double_divide(identity,X0),X1)),
inference(superposition,[],[f1101,f122]) ).
fof(f1495,plain,
! [X0,X1] : double_divide(identity,double_divide(X0,X1)) = double_divide(double_divide(identity,X1),double_divide(identity,X0)),
inference(superposition,[],[f1101,f458]) ).
fof(f1515,plain,
! [X0,X1] : double_divide(double_divide(X1,double_divide(X0,identity)),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(X0,double_divide(identity,X1))),double_divide(identity,identity)),
inference(superposition,[],[f11,f1101]) ).
fof(f1525,plain,
! [X0,X1] : double_divide(identity,double_divide(X0,X1)) = double_divide(double_divide(X0,identity),double_divide(identity,X1)),
inference(superposition,[],[f458,f1101]) ).
fof(f1538,plain,
! [X0,X1] : double_divide(double_divide(X1,double_divide(X0,identity)),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(X0,double_divide(identity,X1))),identity),
inference(forward_demodulation,[],[f1515,f117]) ).
fof(f1549,plain,
! [X0,X1] : double_divide(identity,double_divide(double_divide(identity,X0),X1)) = double_divide(identity,double_divide(double_divide(X0,double_divide(identity,X1)),identity)),
inference(forward_demodulation,[],[f1490,f1233]) ).
fof(f1550,plain,
! [X0,X1] : double_divide(double_divide(identity,X1),X0) = double_divide(identity,double_divide(double_divide(identity,X0),X1)),
inference(forward_demodulation,[],[f1489,f730]) ).
fof(f1562,plain,
! [X0,X1] : double_divide(double_divide(X1,double_divide(X0,identity)),double_divide(identity,identity)) = double_divide(identity,double_divide(identity,double_divide(X0,double_divide(identity,X1)))),
inference(forward_demodulation,[],[f1538,f284]) ).
fof(f1570,plain,
! [X0,X1] : double_divide(X0,double_divide(identity,X1)) = double_divide(identity,double_divide(double_divide(identity,X0),X1)),
inference(forward_demodulation,[],[f1549,f730]) ).
fof(f1575,plain,
! [X0,X1] : double_divide(X0,double_divide(identity,X1)) = double_divide(double_divide(X1,double_divide(X0,identity)),double_divide(identity,identity)),
inference(forward_demodulation,[],[f1562,f553]) ).
fof(f1583,plain,
! [X0,X1] : double_divide(X0,double_divide(identity,X1)) = double_divide(double_divide(X1,double_divide(X0,identity)),identity),
inference(forward_demodulation,[],[f1575,f117]) ).
fof(f1588,plain,
! [X0,X1] : double_divide(X0,double_divide(identity,X1)) = double_divide(identity,double_divide(X1,double_divide(X0,identity))),
inference(forward_demodulation,[],[f1583,f284]) ).
fof(f1659,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(identity,double_divide(identity,X1))),double_divide(identity,X2)) = double_divide(identity,double_divide(X2,double_divide(double_divide(X0,X1),identity))),
inference(superposition,[],[f1588,f34]) ).
fof(f1662,plain,
! [X0,X1] : double_divide(double_divide(X0,identity),double_divide(identity,X1)) = double_divide(identity,double_divide(X1,double_divide(double_divide(identity,X0),identity))),
inference(superposition,[],[f1588,f122]) ).
fof(f1705,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(identity,X1)),double_divide(X2,identity)) = double_divide(identity,double_divide(X2,double_divide(X1,double_divide(X0,identity)))),
inference(superposition,[],[f1101,f1588]) ).
fof(f1725,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,X2),X1) = double_divide(double_divide(X0,double_divide(identity,X1)),double_divide(X2,identity)),
inference(forward_demodulation,[],[f1705,f641]) ).
fof(f1744,plain,
! [X0,X1] : double_divide(double_divide(X0,identity),double_divide(identity,X1)) = double_divide(identity,double_divide(X1,double_divide(identity,double_divide(identity,X0)))),
inference(forward_demodulation,[],[f1662,f551]) ).
fof(f1747,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(identity,double_divide(identity,X1))),double_divide(identity,X2)) = double_divide(identity,double_divide(X2,double_divide(identity,double_divide(X0,X1)))),
inference(forward_demodulation,[],[f1659,f551]) ).
fof(f1766,plain,
! [X0,X1] : double_divide(double_divide(identity,X0),double_divide(X1,identity)) = double_divide(double_divide(X0,identity),double_divide(identity,X1)),
inference(forward_demodulation,[],[f1744,f1483]) ).
fof(f1769,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(identity,double_divide(identity,X1))),double_divide(identity,X2)) = double_divide(double_divide(X0,X1),double_divide(X2,identity)),
inference(forward_demodulation,[],[f1747,f1483]) ).
fof(f1781,plain,
! [X0,X1] : double_divide(identity,double_divide(X0,X1)) = double_divide(double_divide(identity,X0),double_divide(X1,identity)),
inference(forward_demodulation,[],[f1766,f1525]) ).
fof(f1784,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,X1),double_divide(X2,identity)) = double_divide(double_divide(X0,X1),double_divide(identity,X2)),
inference(forward_demodulation,[],[f1769,f553]) ).
fof(f1831,plain,
! [X0,X1] : double_divide(X0,double_divide(identity,X1)) = double_divide(X0,double_divide(X1,identity)),
inference(superposition,[],[f1784,f66]) ).
fof(f1984,plain,
! [X0,X1] : double_divide(double_divide(identity,X1),X0) = double_divide(X0,double_divide(X1,identity)),
inference(superposition,[],[f458,f1831]) ).
fof(f2012,plain,
! [X0,X1] : double_divide(X0,double_divide(identity,X1)) = double_divide(double_divide(X1,identity),X0),
inference(superposition,[],[f458,f1831]) ).
fof(f2233,plain,
! [X0,X1] : double_divide(double_divide(X0,identity),X1) = double_divide(double_divide(identity,X0),X1),
inference(superposition,[],[f458,f2012]) ).
fof(f2266,plain,
( double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(double_divide(a3,double_divide(identity,double_divide(c3,b3))),identity)
| a2 != double_divide(double_divide(a2,identity),identity)
| identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity)
| double_divide(double_divide(b4,a4),identity) != double_divide(double_divide(a4,b4),identity) ),
inference(superposition,[],[f8,f2012]) ).
fof(f2295,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,X2),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(identity,X0),double_divide(identity,X1)),X2),double_divide(double_divide(X1,identity),identity)),
inference(superposition,[],[f11,f2012]) ).
fof(f2302,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,X2),double_divide(identity,identity)) = double_divide(identity,double_divide(double_divide(X1,double_divide(double_divide(double_divide(identity,X0),double_divide(identity,X1)),X2)),identity)),
inference(forward_demodulation,[],[f2295,f1233]) ).
fof(f2321,plain,
( double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(identity,double_divide(a3,double_divide(identity,double_divide(c3,b3))))
| a2 != double_divide(double_divide(a2,identity),identity)
| identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity)
| double_divide(double_divide(b4,a4),identity) != double_divide(double_divide(a4,b4),identity) ),
inference(forward_demodulation,[],[f2266,f284]) ).
fof(f2394,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,X2),double_divide(identity,identity)) = double_divide(X1,double_divide(double_divide(double_divide(identity,X0),double_divide(identity,X1)),X2)),
inference(forward_demodulation,[],[f2302,f730]) ).
fof(f2405,plain,
( double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(double_divide(c3,b3),double_divide(a3,identity))
| a2 != double_divide(double_divide(a2,identity),identity)
| identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity)
| double_divide(double_divide(b4,a4),identity) != double_divide(double_divide(a4,b4),identity) ),
inference(forward_demodulation,[],[f2321,f1483]) ).
fof(f2454,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,X2),double_divide(identity,identity)) = double_divide(X1,double_divide(double_divide(identity,double_divide(X1,X0)),X2)),
inference(forward_demodulation,[],[f2394,f1495]) ).
fof(f2461,plain,
( double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(double_divide(c3,b3),double_divide(identity,a3))
| a2 != double_divide(double_divide(a2,identity),identity)
| identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity)
| double_divide(double_divide(b4,a4),identity) != double_divide(double_divide(a4,b4),identity) ),
inference(forward_demodulation,[],[f2405,f1831]) ).
fof(f2493,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,X2),identity) = double_divide(X1,double_divide(double_divide(identity,double_divide(X1,X0)),X2)),
inference(forward_demodulation,[],[f2454,f117]) ).
fof(f2500,plain,
( double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(double_divide(a3,identity),double_divide(c3,b3))
| a2 != double_divide(double_divide(a2,identity),identity)
| identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity)
| double_divide(double_divide(b4,a4),identity) != double_divide(double_divide(a4,b4),identity) ),
inference(forward_demodulation,[],[f2461,f2012]) ).
fof(f2511,plain,
! [X2,X0,X1] : double_divide(identity,double_divide(X0,X2)) = double_divide(X1,double_divide(double_divide(identity,double_divide(X1,X0)),X2)),
inference(forward_demodulation,[],[f2493,f284]) ).
fof(f2516,plain,
( double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(double_divide(identity,a3),double_divide(c3,b3))
| a2 != double_divide(double_divide(a2,identity),identity)
| identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity)
| double_divide(double_divide(b4,a4),identity) != double_divide(double_divide(a4,b4),identity) ),
inference(forward_demodulation,[],[f2500,f2233]) ).
fof(f2524,plain,
( double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(double_divide(identity,a3),double_divide(b3,c3))
| a2 != double_divide(double_divide(a2,identity),identity)
| identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity)
| double_divide(double_divide(b4,a4),identity) != double_divide(double_divide(a4,b4),identity) ),
inference(forward_demodulation,[],[f2516,f458]) ).
fof(f2526,plain,
( double_divide(identity,double_divide(c3,double_divide(double_divide(b3,a3),identity))) != double_divide(double_divide(identity,a3),double_divide(b3,c3))
| a2 != double_divide(double_divide(a2,identity),identity)
| identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity)
| double_divide(double_divide(b4,a4),identity) != double_divide(double_divide(a4,b4),identity) ),
inference(forward_demodulation,[],[f2524,f284]) ).
fof(f2527,plain,
( double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3)))) != double_divide(double_divide(identity,a3),double_divide(b3,c3))
| a2 != double_divide(double_divide(a2,identity),identity)
| identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity)
| double_divide(double_divide(b4,a4),identity) != double_divide(double_divide(a4,b4),identity) ),
inference(forward_demodulation,[],[f2526,f551]) ).
fof(f2528,plain,
( double_divide(double_divide(identity,a3),double_divide(b3,c3)) != double_divide(double_divide(b3,a3),double_divide(c3,identity))
| a2 != double_divide(double_divide(a2,identity),identity)
| identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity)
| double_divide(double_divide(b4,a4),identity) != double_divide(double_divide(a4,b4),identity) ),
inference(forward_demodulation,[],[f2527,f1483]) ).
fof(f2529,plain,
( double_divide(double_divide(identity,a3),double_divide(b3,c3)) != double_divide(double_divide(b3,a3),double_divide(identity,c3))
| a2 != double_divide(double_divide(a2,identity),identity)
| identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity)
| double_divide(double_divide(b4,a4),identity) != double_divide(double_divide(a4,b4),identity) ),
inference(forward_demodulation,[],[f2528,f1831]) ).
fof(f2530,plain,
( double_divide(double_divide(identity,a3),double_divide(b3,c3)) != double_divide(double_divide(identity,c3),double_divide(b3,a3))
| a2 != double_divide(double_divide(a2,identity),identity)
| identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity)
| double_divide(double_divide(b4,a4),identity) != double_divide(double_divide(a4,b4),identity) ),
inference(forward_demodulation,[],[f2529,f458]) ).
fof(f2531,plain,
( double_divide(double_divide(identity,a3),double_divide(b3,c3)) != double_divide(double_divide(identity,c3),double_divide(a3,b3))
| a2 != double_divide(double_divide(a2,identity),identity)
| identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity)
| double_divide(double_divide(b4,a4),identity) != double_divide(double_divide(a4,b4),identity) ),
inference(forward_demodulation,[],[f2530,f458]) ).
fof(f2532,plain,
( a2 != double_divide(identity,double_divide(a2,identity))
| double_divide(double_divide(identity,a3),double_divide(b3,c3)) != double_divide(double_divide(identity,c3),double_divide(a3,b3))
| identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity)
| double_divide(double_divide(b4,a4),identity) != double_divide(double_divide(a4,b4),identity) ),
inference(forward_demodulation,[],[f2531,f284]) ).
fof(f2533,plain,
( double_divide(double_divide(identity,a3),double_divide(b3,c3)) != double_divide(double_divide(identity,c3),double_divide(a3,b3))
| identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity)
| double_divide(double_divide(b4,a4),identity) != double_divide(double_divide(a4,b4),identity) ),
inference(forward_subsumption_resolution,[],[f2532,f267]) ).
fof(f2534,plain,
( identity != double_divide(identity,double_divide(a1,double_divide(a1,identity)))
| double_divide(double_divide(identity,a3),double_divide(b3,c3)) != double_divide(double_divide(identity,c3),double_divide(a3,b3))
| double_divide(double_divide(b4,a4),identity) != double_divide(double_divide(a4,b4),identity) ),
inference(forward_demodulation,[],[f2533,f284]) ).
fof(f2535,plain,
( identity != double_divide(identity,double_divide(a1,double_divide(identity,a1)))
| double_divide(double_divide(identity,a3),double_divide(b3,c3)) != double_divide(double_divide(identity,c3),double_divide(a3,b3))
| double_divide(double_divide(b4,a4),identity) != double_divide(double_divide(a4,b4),identity) ),
inference(forward_demodulation,[],[f2534,f551]) ).
fof(f2536,plain,
( double_divide(double_divide(identity,a3),double_divide(b3,c3)) != double_divide(double_divide(identity,c3),double_divide(a3,b3))
| double_divide(double_divide(b4,a4),identity) != double_divide(double_divide(a4,b4),identity) ),
inference(forward_subsumption_resolution,[],[f2535,f289]) ).
fof(f2537,plain,
( double_divide(double_divide(b4,a4),identity) != double_divide(identity,double_divide(a4,b4))
| double_divide(double_divide(identity,a3),double_divide(b3,c3)) != double_divide(double_divide(identity,c3),double_divide(a3,b3)) ),
inference(forward_demodulation,[],[f2536,f284]) ).
fof(f2538,plain,
( double_divide(identity,double_divide(a4,b4)) != double_divide(identity,double_divide(b4,a4))
| double_divide(double_divide(identity,a3),double_divide(b3,c3)) != double_divide(double_divide(identity,c3),double_divide(a3,b3)) ),
inference(forward_demodulation,[],[f2537,f284]) ).
fof(f2539,plain,
double_divide(double_divide(identity,a3),double_divide(b3,c3)) != double_divide(double_divide(identity,c3),double_divide(a3,b3)),
inference(forward_subsumption_resolution,[],[f2538,f379]) ).
fof(f2931,plain,
! [X0,X1] : double_divide(double_divide(identity,X1),X0) = double_divide(identity,double_divide(X1,double_divide(identity,double_divide(double_divide(identity,X0),identity)))),
inference(superposition,[],[f1781,f66]) ).
fof(f3013,plain,
! [X0,X1] : double_divide(double_divide(identity,X1),X0) = double_divide(double_divide(double_divide(identity,X0),identity),double_divide(X1,identity)),
inference(forward_demodulation,[],[f2931,f1483]) ).
fof(f3045,plain,
! [X0,X1] : double_divide(double_divide(identity,X1),X0) = double_divide(identity,double_divide(X1,double_divide(identity,X0))),
inference(forward_demodulation,[],[f3013,f1477]) ).
fof(f3089,plain,
! [X2,X0,X1] : double_divide(identity,double_divide(X2,double_divide(identity,double_divide(X0,X1)))) = double_divide(double_divide(identity,X2),double_divide(X1,X0)),
inference(superposition,[],[f3045,f379]) ).
fof(f3094,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,X2),double_divide(X1,double_divide(X0,identity))) = double_divide(identity,double_divide(X2,double_divide(X0,double_divide(identity,X1)))),
inference(superposition,[],[f3045,f1588]) ).
fof(f3151,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(identity,X0),X1),double_divide(X2,identity)) = double_divide(identity,double_divide(X2,double_divide(X0,double_divide(identity,X1)))),
inference(superposition,[],[f1101,f3045]) ).
fof(f3202,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,X1),double_divide(X2,identity)) = double_divide(double_divide(identity,X2),double_divide(X1,X0)),
inference(forward_demodulation,[],[f3089,f1483]) ).
fof(f3685,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(identity,X1)),double_divide(X2,identity)) = double_divide(identity,double_divide(double_divide(double_divide(identity,X0),X1),X2)),
inference(superposition,[],[f1781,f1570]) ).
fof(f3688,plain,
! [X2,X0,X1] : double_divide(identity,double_divide(X2,double_divide(X0,double_divide(identity,X1)))) = double_divide(double_divide(identity,X2),double_divide(double_divide(identity,X0),X1)),
inference(superposition,[],[f3045,f1570]) ).
fof(f3707,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,X2),X1) = double_divide(identity,double_divide(double_divide(double_divide(identity,X0),X1),X2)),
inference(forward_demodulation,[],[f3685,f1725]) ).
fof(f3830,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(X1,identity)),double_divide(X2,identity)) = double_divide(double_divide(identity,X2),double_divide(double_divide(identity,X1),X0)),
inference(superposition,[],[f3202,f1831]) ).
fof(f3842,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,double_divide(X0,X1)),double_divide(X2,identity)) = double_divide(double_divide(identity,X2),double_divide(double_divide(X0,identity),double_divide(identity,X1))),
inference(superposition,[],[f3202,f1101]) ).
fof(f3846,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(X0,X1),identity),double_divide(X2,identity)) = double_divide(double_divide(identity,X2),double_divide(double_divide(identity,identity),double_divide(X1,double_divide(identity,double_divide(X0,identity))))),
inference(superposition,[],[f3202,f13]) ).
fof(f3898,plain,
! [X2,X0,X1] : double_divide(X0,double_divide(X2,X1)) = double_divide(double_divide(X1,X2),double_divide(double_divide(identity,X0),identity)),
inference(superposition,[],[f3202,f553]) ).
fof(f3906,plain,
! [X2,X0,X1] : double_divide(X0,double_divide(X2,X1)) = double_divide(double_divide(X1,X2),double_divide(double_divide(X0,identity),identity)),
inference(superposition,[],[f3202,f267]) ).
fof(f3915,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(identity,X1)),double_divide(X2,identity)) = double_divide(double_divide(identity,X2),double_divide(X0,double_divide(X1,identity))),
inference(superposition,[],[f3202,f1984]) ).
fof(f3922,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(identity,X0),X1),double_divide(X2,identity)) = double_divide(double_divide(identity,X2),double_divide(double_divide(X0,identity),X1)),
inference(superposition,[],[f3202,f2012]) ).
fof(f3927,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(identity,X3),double_divide(double_divide(X0,X1),double_divide(X2,identity))) = double_divide(double_divide(double_divide(X1,X0),double_divide(identity,X2)),double_divide(X3,identity)),
inference(superposition,[],[f3202,f3202]) ).
fof(f3935,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,X2),double_divide(identity,double_divide(X0,X1))) = double_divide(double_divide(double_divide(X0,identity),double_divide(identity,X1)),double_divide(X2,identity)),
inference(superposition,[],[f3202,f1101]) ).
fof(f4040,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,X1),double_divide(X2,identity)) = double_divide(double_divide(X1,X0),double_divide(identity,X2)),
inference(superposition,[],[f458,f3202]) ).
fof(f4113,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(X0,identity),X2),X1) = double_divide(double_divide(identity,X2),double_divide(identity,double_divide(X0,X1))),
inference(forward_demodulation,[],[f3935,f1725]) ).
fof(f4121,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(identity,X3),double_divide(double_divide(X0,X1),double_divide(X2,identity))) = double_divide(double_divide(double_divide(X1,X0),X3),X2),
inference(forward_demodulation,[],[f3927,f1725]) ).
fof(f4126,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(identity,X0),X1),double_divide(X2,identity)) = double_divide(identity,double_divide(double_divide(X0,double_divide(identity,X2)),X1)),
inference(forward_demodulation,[],[f3922,f1233]) ).
fof(f4133,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(identity,X1)),double_divide(X2,identity)) = double_divide(identity,double_divide(X2,double_divide(X1,double_divide(identity,X0)))),
inference(forward_demodulation,[],[f3915,f3094]) ).
fof(f4139,plain,
! [X2,X0,X1] : double_divide(X0,double_divide(X2,X1)) = double_divide(identity,double_divide(double_divide(X0,double_divide(X1,X2)),identity)),
inference(forward_demodulation,[],[f3906,f1233]) ).
fof(f4147,plain,
! [X2,X0,X1] : double_divide(X0,double_divide(X2,X1)) = double_divide(double_divide(X1,X2),double_divide(identity,double_divide(identity,X0))),
inference(forward_demodulation,[],[f3898,f1831]) ).
fof(f4181,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(X0,X1),identity),double_divide(X2,identity)) = double_divide(identity,double_divide(double_divide(identity,double_divide(identity,X2)),double_divide(X1,double_divide(identity,double_divide(X0,identity))))),
inference(forward_demodulation,[],[f3846,f1233]) ).
fof(f4185,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,double_divide(X0,X1)),double_divide(X2,identity)) = double_divide(double_divide(identity,double_divide(X0,double_divide(identity,X2))),X1),
inference(forward_demodulation,[],[f3842,f1362]) ).
fof(f4197,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(X1,identity)),double_divide(X2,identity)) = double_divide(identity,double_divide(X2,double_divide(X1,double_divide(identity,X0)))),
inference(forward_demodulation,[],[f3830,f3688]) ).
fof(f4263,plain,
! [X2,X0,X1] : double_divide(identity,double_divide(double_divide(X0,X1),X2)) = double_divide(double_divide(double_divide(X0,identity),X2),X1),
inference(forward_demodulation,[],[f4113,f1495]) ).
fof(f4271,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(double_divide(X1,X0),X3),X2) = double_divide(identity,double_divide(X3,double_divide(X2,double_divide(identity,double_divide(X0,X1))))),
inference(forward_demodulation,[],[f4121,f3094]) ).
fof(f4274,plain,
! [X2,X0,X1] : double_divide(identity,double_divide(X2,double_divide(X0,double_divide(identity,X1)))) = double_divide(identity,double_divide(double_divide(X0,double_divide(identity,X2)),X1)),
inference(forward_demodulation,[],[f4126,f3151]) ).
fof(f4281,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,X2),X1) = double_divide(identity,double_divide(X2,double_divide(X1,double_divide(identity,X0)))),
inference(forward_demodulation,[],[f4133,f1725]) ).
fof(f4286,plain,
! [X2,X0,X1] : double_divide(X0,double_divide(X2,X1)) = double_divide(X0,double_divide(X1,X2)),
inference(forward_demodulation,[],[f4139,f730]) ).
fof(f4294,plain,
! [X2,X0,X1] : double_divide(double_divide(X1,X2),X0) = double_divide(X0,double_divide(X2,X1)),
inference(forward_demodulation,[],[f4147,f553]) ).
fof(f4321,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(X0,X1),identity),double_divide(X2,identity)) = double_divide(identity,double_divide(X2,double_divide(X1,double_divide(identity,double_divide(X0,identity))))),
inference(forward_demodulation,[],[f4181,f2511]) ).
fof(f4325,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,double_divide(X0,X1)),double_divide(X2,identity)) = double_divide(double_divide(X2,double_divide(X0,identity)),X1),
inference(forward_demodulation,[],[f4185,f1483]) ).
fof(f4409,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(identity,X0),X2),X1) = double_divide(double_divide(double_divide(X0,X1),identity),double_divide(X2,identity)),
inference(forward_demodulation,[],[f4321,f4271]) ).
fof(f4412,plain,
! [X2,X0,X1] : double_divide(identity,double_divide(X2,double_divide(X0,X1))) = double_divide(double_divide(X2,double_divide(X0,identity)),X1),
inference(forward_demodulation,[],[f4325,f1101]) ).
fof(f4459,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(identity,X0),X2),X1) = double_divide(double_divide(identity,double_divide(X0,X1)),double_divide(identity,X2)),
inference(forward_demodulation,[],[f4409,f4040]) ).
fof(f4488,plain,
! [X2,X0,X1] : double_divide(identity,double_divide(X2,double_divide(X0,X1))) = double_divide(double_divide(double_divide(identity,X0),X2),X1),
inference(forward_demodulation,[],[f4459,f1495]) ).
fof(f4541,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(double_divide(identity,X0),double_divide(X1,X2)),X3) = double_divide(X3,double_divide(double_divide(X0,identity),double_divide(X2,X1))),
inference(superposition,[],[f4294,f3202]) ).
fof(f4626,plain,
! [X2,X0,X1] : double_divide(X2,double_divide(double_divide(X0,X1),identity)) = double_divide(double_divide(identity,double_divide(X0,double_divide(identity,double_divide(identity,X1)))),X2),
inference(superposition,[],[f4294,f34]) ).
fof(f4738,plain,
! [X2,X0,X1] : double_divide(double_divide(X1,X0),X2) = double_divide(double_divide(X0,X1),X2),
inference(superposition,[],[f458,f4294]) ).
fof(f4840,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(identity,X1),double_divide(X0,identity)),X2) = double_divide(X2,double_divide(double_divide(X0,X1),identity)),
inference(forward_demodulation,[],[f4626,f1483]) ).
fof(f4888,plain,
! [X2,X3,X0,X1] : double_divide(X3,double_divide(double_divide(X0,identity),double_divide(X2,X1))) = double_divide(identity,double_divide(double_divide(X1,X2),double_divide(X0,X3))),
inference(forward_demodulation,[],[f4541,f4488]) ).
fof(f4952,plain,
! [X2,X0,X1] : double_divide(X2,double_divide(identity,double_divide(X0,X1))) = double_divide(double_divide(double_divide(identity,X1),double_divide(X0,identity)),X2),
inference(forward_demodulation,[],[f4840,f1831]) ).
fof(f5038,plain,
! [X2,X0,X1] : double_divide(X2,double_divide(identity,double_divide(X0,X1))) = double_divide(identity,double_divide(double_divide(identity,X1),double_divide(X0,X2))),
inference(forward_demodulation,[],[f4952,f4412]) ).
fof(f5078,plain,
! [X2,X0,X1] : double_divide(X2,double_divide(identity,double_divide(X0,X1))) = double_divide(double_divide(identity,double_divide(X0,X2)),X1),
inference(forward_demodulation,[],[f5038,f1550]) ).
fof(f5379,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,double_divide(X0,X1)),double_divide(X2,identity)) = double_divide(identity,double_divide(double_divide(X1,X0),X2)),
inference(superposition,[],[f1781,f4286]) ).
fof(f5388,plain,
! [X2,X0,X1] : double_divide(identity,double_divide(double_divide(X1,X0),X2)) = double_divide(X1,double_divide(identity,double_divide(X0,double_divide(X2,identity)))),
inference(forward_demodulation,[],[f5379,f5078]) ).
fof(f5483,plain,
! [X2,X0,X1] : double_divide(identity,double_divide(double_divide(X1,X0),X2)) = double_divide(X1,double_divide(X2,double_divide(X0,identity))),
inference(forward_demodulation,[],[f5388,f1479]) ).
fof(f5703,plain,
! [X0,X1] : double_divide(double_divide(X0,identity),X1) = double_divide(double_divide(double_divide(identity,identity),X0),X1),
inference(superposition,[],[f4738,f117]) ).
fof(f6009,plain,
! [X0,X1] : double_divide(double_divide(X0,identity),X1) = double_divide(identity,double_divide(double_divide(identity,X1),X0)),
inference(forward_demodulation,[],[f5703,f4263]) ).
fof(f6370,plain,
! [X2,X0,X1] : double_divide(identity,double_divide(double_divide(X0,double_divide(identity,X1)),X2)) = double_divide(double_divide(X2,identity),double_divide(double_divide(identity,X0),X1)),
inference(superposition,[],[f6009,f1570]) ).
fof(f6541,plain,
! [X2,X0,X1] : double_divide(double_divide(X2,identity),double_divide(double_divide(identity,X0),X1)) = double_divide(identity,double_divide(X1,double_divide(X0,double_divide(identity,X2)))),
inference(forward_demodulation,[],[f6370,f4274]) ).
fof(f6597,plain,
! [X2,X0,X1] : double_divide(double_divide(X2,X1),X0) = double_divide(double_divide(X2,identity),double_divide(double_divide(identity,X0),X1)),
inference(forward_demodulation,[],[f6541,f4281]) ).
fof(f6718,plain,
! [X2,X0,X1] : double_divide(double_divide(X1,X2),double_divide(X0,identity)) = double_divide(double_divide(X1,identity),double_divide(X0,X2)),
inference(superposition,[],[f6597,f267]) ).
fof(f6827,plain,
! [X2,X3,X0,X1] : double_divide(X3,double_divide(double_divide(X0,X1),X2)) = double_divide(double_divide(double_divide(double_divide(identity,X2),X1),double_divide(X0,identity)),X3),
inference(superposition,[],[f4294,f6597]) ).
fof(f6834,plain,
! [X2,X3,X0,X1] : double_divide(X3,double_divide(double_divide(X0,X1),X2)) = double_divide(identity,double_divide(double_divide(double_divide(identity,X2),X1),double_divide(X0,X3))),
inference(forward_demodulation,[],[f6827,f4412]) ).
fof(f6941,plain,
! [X2,X3,X0,X1] : double_divide(X3,double_divide(double_divide(X0,X1),X2)) = double_divide(double_divide(X2,double_divide(X0,X3)),X1),
inference(forward_demodulation,[],[f6834,f3707]) ).
fof(f7268,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(double_divide(X1,identity),double_divide(X0,X2)),double_divide(X3,identity)) = double_divide(double_divide(identity,X3),double_divide(double_divide(X0,identity),double_divide(X1,X2))),
inference(superposition,[],[f3202,f6718]) ).
fof(f7351,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(double_divide(X1,identity),double_divide(X0,X2)),double_divide(X3,identity)) = double_divide(identity,double_divide(double_divide(X2,X1),double_divide(X0,double_divide(identity,X3)))),
inference(forward_demodulation,[],[f7268,f4888]) ).
fof(f7478,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(X3,double_divide(X2,X1)),X0) = double_divide(double_divide(double_divide(X1,identity),double_divide(X0,X2)),double_divide(X3,identity)),
inference(forward_demodulation,[],[f7351,f4281]) ).
fof(f7578,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(X3,double_divide(X2,X1)),X0) = double_divide(X2,double_divide(double_divide(X0,double_divide(X3,identity)),double_divide(X1,identity))),
inference(forward_demodulation,[],[f7478,f6941]) ).
fof(f7662,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(X3,double_divide(X2,X1)),X0) = double_divide(X2,double_divide(identity,double_divide(X1,double_divide(X3,double_divide(identity,X0))))),
inference(forward_demodulation,[],[f7578,f4197]) ).
fof(f7730,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(X3,double_divide(X2,X1)),X0) = double_divide(X2,double_divide(double_divide(X0,X1),X3)),
inference(forward_demodulation,[],[f7662,f4281]) ).
fof(f8011,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(X3,X1),double_divide(X0,X2)) = double_divide(double_divide(X3,identity),double_divide(X0,double_divide(double_divide(X1,X2),identity))),
inference(superposition,[],[f6597,f7730]) ).
fof(f8173,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(X3,X1),double_divide(X0,X2)) = double_divide(identity,double_divide(double_divide(double_divide(X3,identity),double_divide(X1,X2)),X0)),
inference(forward_demodulation,[],[f8011,f5483]) ).
fof(f8346,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(X3,X1),double_divide(X0,X2)) = double_divide(identity,double_divide(X2,double_divide(double_divide(X1,X0),double_divide(X3,identity)))),
inference(forward_demodulation,[],[f8173,f6941]) ).
fof(f8472,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(X3,X2),double_divide(X1,X0)) = double_divide(double_divide(X3,X1),double_divide(X0,X2)),
inference(forward_demodulation,[],[f8346,f641]) ).
fof(f9833,plain,
double_divide(double_divide(identity,a3),double_divide(b3,c3)) != double_divide(double_divide(identity,a3),double_divide(b3,c3)),
inference(superposition,[],[f2539,f8472]) ).
fof(f9964,plain,
$false,
inference(trivial_inequality_removal,[],[f9833]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP102-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Sun Sep 27 09:18:50 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.32 Running first-order theorem proving
% 0.04/0.32 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
% 5.63/1.61 % (2108211)Input is clausal, will run a generic CNF schedule.
% 5.63/1.61 % (2108229)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3476447587:s2a=on:i=180:gtg=position_3000 on theBenchmark for (3000ds/180Mi)
% 5.63/1.61 % (2108225)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2222013120:i=132376:av=off_3000 on theBenchmark for (3000ds/132376Mi)
% 5.63/1.61 % (2108227)lrs+10_1_sil=8000:sp=occurrence:random_seed=3210194706:i=107:sd=3:ss=axioms:sgt=8_3000 on theBenchmark for (3000ds/107Mi)
% 5.63/1.61 % (2108226)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=578292310:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_3000 on theBenchmark for (3000ds/137899Mi)
% 5.63/1.61 % (2108228)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2682496003:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_3000 on theBenchmark for (3000ds/114Mi)
% 5.63/1.61 % (2108224)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=3121136712:i=140167_3000 on theBenchmark for (3000ds/140167Mi)
% 5.63/1.61 % (2108230)dis-21_1_sil=8000:lcm=predicate:random_seed=458319039:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_3000 on theBenchmark for (3000ds/117Mi)
% 5.63/1.61 % (2108230)Refutation not found, incomplete strategy
% 5.63/1.61 % (2108230)------------------------------
% 5.63/1.61 % (2108230)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.63/1.61 % (2108230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.61 % (2108230)CaDiCaL version: 2.1.3
% 5.63/1.61 % (2108230)Termination reason: Refutation not found, incomplete strategy
% 5.63/1.61 % (2108230)Time elapsed: 0.001 s
% 5.63/1.61 % (2108230)Peak memory usage: 88 MB
% 5.63/1.61 % (2108229)Instruction limit reached!
% 5.63/1.61 % (2108229)------------------------------
% 5.63/1.61 % (2108229)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.63/1.61 % (2108229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.61 % (2108229)CaDiCaL version: 2.1.3
% 5.63/1.61 % (2108229)Termination reason: Instruction limit
% 5.63/1.61 % (2108229)Termination phase: Saturation
% 5.63/1.61 % (2108229)Time elapsed: 0.085 s
% 5.63/1.61 % (2108229)Peak memory usage: 90 MB
% 5.63/1.61 % (2108229)Instructions burned: 181 (million)
% 5.63/1.61 % (2108227)Instruction limit reached!
% 5.63/1.61 % (2108227)------------------------------
% 5.63/1.61 % (2108227)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.63/1.61 % (2108227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.61 % (2108227)CaDiCaL version: 2.1.3
% 5.63/1.61 % (2108227)Termination reason: Instruction limit
% 5.63/1.61 % (2108227)Termination phase: Saturation
% 5.63/1.61 % (2108227)Time elapsed: 0.050 s
% 5.63/1.61 % (2108227)Peak memory usage: 89 MB
% 5.63/1.61 % (2108227)Instructions burned: 108 (million)
% 5.63/1.61 % (2108228)Instruction limit reached!
% 5.63/1.61 % (2108228)------------------------------
% 5.63/1.61 % (2108228)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.63/1.61 % (2108228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.61 % (2108228)CaDiCaL version: 2.1.3
% 5.63/1.61 % (2108228)Termination reason: Instruction limit
% 5.63/1.61 % (2108228)Termination phase: Saturation
% 5.63/1.61 % (2108228)Time elapsed: 0.060 s
% 5.63/1.61 % (2108228)Peak memory usage: 89 MB
% 5.63/1.61 % (2108228)Instructions burned: 114 (million)
% 5.63/1.61 % (2108230)------------------------------
% 5.63/1.61 % (2108230)------------------------------
% 5.63/1.61 % (2108248)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=2363488059:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 5.63/1.61 % (2108249)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=237066846: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)
% 5.63/1.61 % (2108250)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=930164724:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.63/1.61 % (2108249)Refutation not found, incomplete strategy
% 5.63/1.61 % (2108249)------------------------------
% 5.63/1.61 % (2108249)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.63/1.61 % (2108248)Refutation not found, incomplete strategy
% 5.63/1.61 % (2108248)------------------------------
% 5.63/1.61 % (2108248)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.63/1.61 % (2108248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.61 % (2108249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.61 % (2108248)CaDiCaL version: 2.1.3
% 5.63/1.61 % (2108249)CaDiCaL version: 2.1.3
% 5.63/1.61 % (2108248)Termination reason: Refutation not found, incomplete strategy
% 5.63/1.61 % (2108248)Time elapsed: 0.001 s
% 5.63/1.61 % (2108249)Termination reason: Refutation not found, incomplete strategy
% 5.63/1.61 % (2108249)Time elapsed: 0.001 s
% 5.63/1.61 % (2108249)Peak memory usage: 88 MB
% 5.63/1.61 % (2108248)Peak memory usage: 88 MB
% 5.63/1.61 % (2108250)Refutation not found, incomplete strategy
% 5.63/1.61 % (2108250)------------------------------
% 5.63/1.61 % (2108250)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.63/1.61 % (2108250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.61 % (2108250)CaDiCaL version: 2.1.3
% 5.63/1.61 % (2108250)Termination reason: Refutation not found, incomplete strategy
% 5.63/1.61 % (2108250)Time elapsed: 0.001 s
% 5.63/1.61 % (2108250)Peak memory usage: 88 MB
% 5.63/1.61 % (2108250)Instructions burned: 1 (million)
% 5.63/1.61 % (2108255)lrs+10_64_to=lpo:sil=8000:random_seed=2430141594:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 5.63/1.61 % (2108255)Instruction limit reached!
% 5.63/1.61 % (2108255)------------------------------
% 5.63/1.61 % (2108255)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.63/1.61 % (2108255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.61 % (2108255)CaDiCaL version: 2.1.3
% 5.63/1.61 % (2108255)Termination reason: Instruction limit
% 5.63/1.61 % (2108255)Termination phase: Saturation
% 5.63/1.61 % (2108255)Time elapsed: 0.070 s
% 5.63/1.61 % (2108255)Peak memory usage: 88 MB
% 5.63/1.61 % (2108255)Instructions burned: 126 (million)
% 5.63/1.61 % (2108249)------------------------------
% 5.63/1.61 % (2108249)------------------------------
% 5.63/1.61 % (2108250)------------------------------
% 5.63/1.61 % (2108250)------------------------------
% 5.63/1.61 % (2108248)------------------------------
% 5.63/1.61 % (2108248)------------------------------
% 5.63/1.61 % (2108266)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1817698668:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 5.63/1.61 % (2108268)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3737452737:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 5.63/1.61 % (2108269)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3639280186:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 5.63/1.61 % (2108270)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=169720124:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 5.63/1.61 % (2108266)Instruction limit reached!
% 5.63/1.61 % (2108266)------------------------------
% 5.63/1.61 % (2108266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.63/1.61 % (2108266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.61 % (2108266)CaDiCaL version: 2.1.3
% 5.63/1.61 % (2108266)Termination reason: Instruction limit
% 5.63/1.61 % (2108266)Termination phase: Saturation
% 5.63/1.61 % (2108266)Time elapsed: 0.090 s
% 5.63/1.61 % (2108266)Peak memory usage: 89 MB
% 5.63/1.61 % (2108266)Instructions burned: 195 (million)
% 5.63/1.61 % (2108268)Instruction limit reached!
% 5.63/1.61 % (2108268)------------------------------
% 5.63/1.61 % (2108268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.63/1.61 % (2108268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.61 % (2108268)CaDiCaL version: 2.1.3
% 5.63/1.61 % (2108268)Termination reason: Instruction limit
% 5.63/1.61 % (2108268)Termination phase: Saturation
% 5.63/1.61 % (2108268)Time elapsed: 0.065 s
% 5.63/1.61 % (2108268)Peak memory usage: 91 MB
% 5.63/1.61 % (2108268)Instructions burned: 159 (million)
% 5.63/1.61 % (2108270)Instruction limit reached!
% 5.63/1.61 % (2108270)------------------------------
% 5.63/1.61 % (2108270)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.63/1.61 % (2108270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.61 % (2108270)CaDiCaL version: 2.1.3
% 5.63/1.61 % (2108270)Termination reason: Instruction limit
% 5.63/1.61 % (2108270)Termination phase: Saturation
% 5.63/1.61 % (2108270)Time elapsed: 0.040 s
% 5.63/1.61 % (2108270)Peak memory usage: 90 MB
% 5.63/1.61 % (2108270)Instructions burned: 111 (million)
% 5.63/1.61 % (2108225)First to succeed.
% 5.63/1.61 % (2108225)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2108211"
% 5.63/1.61 % (2108280)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1566619143:i=107_2991 on theBenchmark for (2991ds/107Mi)
% 5.63/1.61 % (2108280)Refutation not found, incomplete strategy
% 5.63/1.61 % (2108280)------------------------------
% 5.63/1.61 % (2108280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.63/1.61 % (2108280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.61 % (2108280)CaDiCaL version: 2.1.3
% 5.63/1.61 % (2108280)Termination reason: Refutation not found, incomplete strategy
% 5.63/1.61 % (2108280)Time elapsed: 0.001 s
% 5.63/1.61 % (2108280)Peak memory usage: 88 MB
% 5.63/1.61 % (2108281)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2814872164:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 5.63/1.61 % (2108282)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=120534245:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 5.63/1.61 % (2108225)Refutation found. Thanks to Tanya!
% 5.63/1.61 % SZS status Unsatisfiable for theBenchmark
% 5.63/1.61 % SZS output start Proof for theBenchmark
% See solution above
% 7.81/1.71 % (2108225)------------------------------
% 7.81/1.71 % (2108225)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.81/1.71 % (2108225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/1.71 % (2108225)CaDiCaL version: 2.1.3
% 7.81/1.71 % (2108225)Termination reason: Refutation
% 7.81/1.71 % (2108225)Time elapsed: 0.740 s
% 7.81/1.71 % (2108225)Peak memory usage: 133 MB
% 7.81/1.71 % (2108225)Instructions burned: 1526 (million)
% 7.81/1.71 % (2108225)------------------------------
% 7.81/1.71 % (2108225)------------------------------
% 7.81/1.71 % (2108211)Success in time 1.074 s
% 7.81/1.71 % Vampire exiting
%------------------------------------------------------------------------------