%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP103-1 : 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 : n009.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 9.49s 2.18s
% Output : Refutation 10.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 71
% Number of leaves : 5
% Syntax : Number of formulae : 147 ( 133 unt; 0 def)
% Number of atoms : 170 ( 169 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 64 ( 41 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 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 : 271 ( 271 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))),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(f10,plain,
! [X0,X1] : double_divide(double_divide(double_divide(X0,identity),double_divide(double_divide(identity,X0),double_divide(X1,identity))),double_divide(identity,identity)) = X1,
inference(superposition,[],[f1,f7]) ).
fof(f12,plain,
! [X0] : double_divide(double_divide(identity,double_divide(double_divide(identity,X0),identity)),double_divide(identity,identity)) = X0,
inference(superposition,[],[f1,f7]) ).
fof(f13,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(double_divide(identity,X2),double_divide(X0,double_divide(X2,X1)))) = double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X0)),double_divide(identity,identity)),
inference(superposition,[],[f1,f1]) ).
fof(f14,plain,
double_divide(identity,identity) = double_divide(double_divide(identity,double_divide(identity,identity)),double_divide(identity,identity)),
inference(superposition,[],[f12,f7]) ).
fof(f15,plain,
! [X0] : double_divide(identity,double_divide(double_divide(identity,X0),identity)) = double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X0)),double_divide(identity,identity)),
inference(superposition,[],[f1,f12]) ).
fof(f17,plain,
double_divide(identity,identity) = double_divide(identity,double_divide(identity,identity)),
inference(forward_demodulation,[],[f14,f7]) ).
fof(f18,plain,
identity = double_divide(identity,identity),
inference(forward_demodulation,[],[f17,f7]) ).
fof(f24,plain,
! [X0] : double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),identity) = X0,
inference(superposition,[],[f1,f18]) ).
fof(f32,plain,
! [X0] : double_divide(identity,X0) = double_divide(double_divide(double_divide(X0,identity),identity),double_divide(identity,identity)),
inference(superposition,[],[f10,f7]) ).
fof(f38,plain,
! [X0] : double_divide(identity,X0) = double_divide(double_divide(double_divide(X0,identity),identity),identity),
inference(forward_demodulation,[],[f32,f18]) ).
fof(f45,plain,
! [X0] : double_divide(double_divide(identity,X0),identity) = double_divide(identity,double_divide(X0,identity)),
inference(superposition,[],[f38,f38]) ).
fof(f77,plain,
! [X0,X1] : double_divide(X0,double_divide(identity,double_divide(X1,double_divide(identity,X0)))) = double_divide(double_divide(identity,double_divide(identity,X1)),identity),
inference(superposition,[],[f13,f18]) ).
fof(f93,plain,
! [X2,X0,X1] : double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))) = double_divide(double_divide(identity,double_divide(identity,X2)),identity),
inference(superposition,[],[f13,f18]) ).
fof(f102,plain,
! [X0,X1] : double_divide(double_divide(identity,X1),double_divide(X0,double_divide(X1,identity))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X0)),double_divide(identity,identity)),identity)),double_divide(identity,identity)),
inference(superposition,[],[f12,f13]) ).
fof(f116,plain,
! [X0,X1] : double_divide(double_divide(identity,X1),double_divide(X0,double_divide(X1,identity))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,double_divide(identity,X0)),identity),identity)),identity),
inference(forward_demodulation,[],[f102,f18]) ).
fof(f123,plain,
! [X2,X0,X1] : double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))) = double_divide(identity,double_divide(double_divide(identity,X2),identity)),
inference(forward_demodulation,[],[f93,f45]) ).
fof(f138,plain,
! [X0,X1] : double_divide(X0,double_divide(identity,double_divide(X1,double_divide(identity,X0)))) = double_divide(identity,double_divide(double_divide(identity,X1),identity)),
inference(forward_demodulation,[],[f77,f45]) ).
fof(f146,plain,
! [X0,X1] : double_divide(double_divide(identity,X1),double_divide(X0,double_divide(X1,identity))) = double_divide(identity,double_divide(double_divide(double_divide(double_divide(identity,double_divide(identity,X0)),identity),identity),identity)),
inference(forward_demodulation,[],[f116,f45]) ).
fof(f152,plain,
! [X2,X0,X1] : double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))) = double_divide(identity,double_divide(identity,double_divide(X2,identity))),
inference(forward_demodulation,[],[f123,f45]) ).
fof(f165,plain,
! [X0,X1] : double_divide(X0,double_divide(identity,double_divide(X1,double_divide(identity,X0)))) = double_divide(identity,double_divide(identity,double_divide(X1,identity))),
inference(forward_demodulation,[],[f138,f45]) ).
fof(f171,plain,
! [X0,X1] : double_divide(double_divide(identity,X1),double_divide(X0,double_divide(X1,identity))) = double_divide(identity,double_divide(identity,double_divide(identity,double_divide(identity,X0)))),
inference(forward_demodulation,[],[f146,f38]) ).
fof(f213,plain,
! [X0] : double_divide(identity,double_divide(identity,double_divide(double_divide(identity,X0),identity))) = double_divide(double_divide(X0,identity),double_divide(double_divide(identity,double_divide(double_divide(identity,identity),identity)),double_divide(identity,identity))),
inference(superposition,[],[f165,f13]) ).
fof(f240,plain,
! [X0] : double_divide(identity,double_divide(identity,double_divide(double_divide(identity,X0),identity))) = double_divide(double_divide(X0,identity),identity),
inference(forward_demodulation,[],[f213,f12]) ).
fof(f254,plain,
! [X0] : double_divide(double_divide(X0,identity),identity) = double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X0,identity)))),
inference(forward_demodulation,[],[f240,f45]) ).
fof(f403,plain,
! [X0] : double_divide(identity,double_divide(X0,identity)) = double_divide(identity,double_divide(identity,double_divide(identity,double_divide(identity,X0)))),
inference(superposition,[],[f171,f18]) ).
fof(f510,plain,
! [X0,X1] : double_divide(identity,double_divide(identity,double_divide(identity,double_divide(identity,X1)))) = double_divide(double_divide(double_divide(X0,identity),identity),double_divide(X1,double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),identity))),
inference(superposition,[],[f171,f254]) ).
fof(f527,plain,
! [X0,X1] : double_divide(identity,double_divide(identity,double_divide(identity,double_divide(identity,X1)))) = double_divide(double_divide(double_divide(X0,identity),identity),double_divide(X1,X0)),
inference(forward_demodulation,[],[f510,f24]) ).
fof(f543,plain,
! [X0,X1] : double_divide(identity,double_divide(X1,identity)) = double_divide(double_divide(double_divide(X0,identity),identity),double_divide(X1,X0)),
inference(forward_demodulation,[],[f527,f403]) ).
fof(f576,plain,
! [X0] : double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(double_divide(X0,identity),identity)),identity)),double_divide(identity,identity)) = X0,
inference(superposition,[],[f10,f543]) ).
fof(f594,plain,
! [X0] : double_divide(double_divide(X0,identity),identity) = X0,
inference(forward_demodulation,[],[f576,f12]) ).
fof(f636,plain,
! [X0,X1] : double_divide(identity,double_divide(X1,identity)) = double_divide(X0,double_divide(X1,X0)),
inference(superposition,[],[f543,f594]) ).
fof(f640,plain,
! [X0] : double_divide(X0,identity) = double_divide(identity,X0),
inference(superposition,[],[f38,f594]) ).
fof(f642,plain,
! [X0] : identity = double_divide(double_divide(X0,identity),X0),
inference(superposition,[],[f7,f594]) ).
fof(f645,plain,
! [X0] : double_divide(identity,double_divide(X0,identity)) = double_divide(double_divide(X0,identity),identity),
inference(superposition,[],[f38,f594]) ).
fof(f647,plain,
! [X0] : double_divide(X0,identity) = double_divide(identity,double_divide(identity,double_divide(identity,X0))),
inference(superposition,[],[f254,f594]) ).
fof(f656,plain,
! [X0] : double_divide(identity,double_divide(X0,identity)) = X0,
inference(forward_demodulation,[],[f645,f594]) ).
fof(f691,plain,
! [X0] : double_divide(identity,double_divide(X0,identity)) = double_divide(identity,double_divide(identity,X0)),
inference(superposition,[],[f45,f640]) ).
fof(f725,plain,
! [X0] : double_divide(identity,double_divide(identity,X0)) = X0,
inference(forward_demodulation,[],[f691,f656]) ).
fof(f873,plain,
! [X0,X1] : double_divide(identity,double_divide(identity,double_divide(identity,double_divide(identity,X1)))) = double_divide(X0,double_divide(X1,double_divide(double_divide(X0,identity),identity))),
inference(superposition,[],[f171,f656]) ).
fof(f893,plain,
! [X0,X1] : double_divide(identity,double_divide(identity,double_divide(identity,double_divide(identity,X1)))) = double_divide(X0,double_divide(X1,double_divide(identity,double_divide(X0,identity)))),
inference(forward_demodulation,[],[f873,f640]) ).
fof(f911,plain,
! [X0,X1] : double_divide(identity,double_divide(identity,double_divide(identity,double_divide(identity,X1)))) = double_divide(X0,double_divide(X1,X0)),
inference(forward_demodulation,[],[f893,f656]) ).
fof(f922,plain,
! [X0,X1] : double_divide(double_divide(identity,X1),identity) = double_divide(X0,double_divide(X1,X0)),
inference(forward_demodulation,[],[f911,f647]) ).
fof(f927,plain,
! [X0,X1] : double_divide(identity,double_divide(identity,X1)) = double_divide(X0,double_divide(X1,X0)),
inference(forward_demodulation,[],[f922,f640]) ).
fof(f929,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(forward_demodulation,[],[f927,f725]) ).
fof(f943,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X0) = X1,
inference(superposition,[],[f929,f929]) ).
fof(f1052,plain,
! [X0,X1] : double_divide(identity,double_divide(X0,double_divide(identity,X1))) = double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),X1),
inference(superposition,[],[f943,f165]) ).
fof(f1054,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,identity)) = double_divide(double_divide(identity,double_divide(identity,double_divide(identity,double_divide(identity,X0)))),double_divide(identity,X1)),
inference(superposition,[],[f943,f171]) ).
fof(f1084,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(double_divide(identity,X2),X0)) = double_divide(double_divide(identity,double_divide(double_divide(identity,identity),double_divide(double_divide(X2,X1),X0))),double_divide(identity,identity)),
inference(superposition,[],[f13,f943]) ).
fof(f1085,plain,
! [X2,X0,X1] : double_divide(double_divide(X2,X1),X0) = double_divide(double_divide(X1,double_divide(double_divide(identity,X2),X0)),double_divide(identity,identity)),
inference(superposition,[],[f1,f943]) ).
fof(f1086,plain,
! [X0,X1] : double_divide(double_divide(identity,X1),X0) = double_divide(identity,double_divide(identity,double_divide(identity,double_divide(identity,double_divide(double_divide(X1,identity),X0))))),
inference(superposition,[],[f171,f943]) ).
fof(f1087,plain,
! [X0,X1] : double_divide(X1,double_divide(identity,X0)) = double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,X1),X0),identity))),
inference(superposition,[],[f165,f943]) ).
fof(f1096,plain,
! [X0,X1] : double_divide(X1,double_divide(identity,X0)) = double_divide(double_divide(double_divide(identity,X1),X0),identity),
inference(forward_demodulation,[],[f1087,f725]) ).
fof(f1097,plain,
! [X0,X1] : double_divide(double_divide(identity,X1),X0) = double_divide(identity,double_divide(double_divide(double_divide(X1,identity),X0),identity)),
inference(forward_demodulation,[],[f1086,f403]) ).
fof(f1098,plain,
! [X2,X0,X1] : double_divide(double_divide(X2,X1),X0) = double_divide(double_divide(X1,double_divide(double_divide(identity,X2),X0)),identity),
inference(forward_demodulation,[],[f1085,f18]) ).
fof(f1099,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(double_divide(identity,X2),X0)) = double_divide(identity,double_divide(double_divide(identity,double_divide(double_divide(X2,X1),X0)),identity)),
inference(forward_demodulation,[],[f1084,f15]) ).
fof(f1115,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,identity)) = double_divide(double_divide(identity,double_divide(X0,identity)),double_divide(identity,X1)),
inference(forward_demodulation,[],[f1054,f403]) ).
fof(f1117,plain,
! [X0,X1] : double_divide(identity,double_divide(X0,double_divide(identity,X1))) = double_divide(double_divide(X0,identity),X1),
inference(forward_demodulation,[],[f1052,f725]) ).
fof(f1127,plain,
! [X0,X1] : double_divide(X1,double_divide(identity,X0)) = double_divide(identity,double_divide(double_divide(identity,X1),X0)),
inference(forward_demodulation,[],[f1096,f640]) ).
fof(f1128,plain,
! [X0,X1] : double_divide(double_divide(identity,X1),X0) = double_divide(double_divide(X1,identity),X0),
inference(forward_demodulation,[],[f1097,f929]) ).
fof(f1129,plain,
! [X2,X0,X1] : double_divide(double_divide(X2,X1),X0) = double_divide(identity,double_divide(X1,double_divide(double_divide(identity,X2),X0))),
inference(forward_demodulation,[],[f1098,f640]) ).
fof(f1130,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(double_divide(identity,X2),X0)) = double_divide(identity,double_divide(double_divide(X2,X1),X0)),
inference(forward_demodulation,[],[f1099,f929]) ).
fof(f1137,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,identity)) = double_divide(X0,double_divide(identity,X1)),
inference(forward_demodulation,[],[f1115,f929]) ).
fof(f1432,plain,
! [X2,X0,X1] : double_divide(identity,double_divide(X1,double_divide(identity,double_divide(identity,double_divide(X0,identity))))) = double_divide(double_divide(X1,identity),double_divide(double_divide(identity,X2),double_divide(X0,double_divide(X2,identity)))),
inference(superposition,[],[f1117,f152]) ).
fof(f1433,plain,
! [X2,X0,X1] : double_divide(double_divide(X1,identity),double_divide(double_divide(identity,X2),double_divide(X0,double_divide(X2,identity)))) = double_divide(identity,double_divide(X1,double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X0)),double_divide(identity,identity)))),
inference(superposition,[],[f1117,f13]) ).
fof(f1437,plain,
! [X0,X1] : double_divide(identity,double_divide(X1,X0)) = double_divide(double_divide(X1,identity),double_divide(X0,identity)),
inference(superposition,[],[f1117,f929]) ).
fof(f1479,plain,
! [X0,X1] : double_divide(X0,double_divide(identity,X1)) = double_divide(double_divide(double_divide(X0,identity),X1),identity),
inference(superposition,[],[f943,f1117]) ).
fof(f1489,plain,
! [X0,X1] : double_divide(X0,double_divide(identity,X1)) = double_divide(identity,double_divide(double_divide(X0,identity),X1)),
inference(forward_demodulation,[],[f1479,f640]) ).
fof(f1530,plain,
! [X2,X0,X1] : double_divide(double_divide(X1,identity),double_divide(double_divide(identity,X2),double_divide(X0,double_divide(X2,identity)))) = double_divide(double_divide(double_divide(double_divide(identity,identity),X0),X1),double_divide(identity,identity)),
inference(forward_demodulation,[],[f1433,f1129]) ).
fof(f1531,plain,
! [X2,X0,X1] : double_divide(identity,double_divide(X1,double_divide(identity,double_divide(identity,double_divide(X0,identity))))) = double_divide(identity,double_divide(double_divide(X2,double_divide(X1,identity)),double_divide(X0,double_divide(X2,identity)))),
inference(forward_demodulation,[],[f1432,f1130]) ).
fof(f1570,plain,
! [X2,X0,X1] : double_divide(double_divide(X1,identity),double_divide(double_divide(identity,X2),double_divide(X0,double_divide(X2,identity)))) = double_divide(double_divide(double_divide(identity,X0),X1),identity),
inference(forward_demodulation,[],[f1530,f18]) ).
fof(f1571,plain,
! [X2,X0,X1] : double_divide(identity,double_divide(double_divide(X2,double_divide(X1,identity)),double_divide(X0,double_divide(X2,identity)))) = double_divide(double_divide(X1,identity),double_divide(identity,double_divide(X0,identity))),
inference(forward_demodulation,[],[f1531,f1117]) ).
fof(f1597,plain,
! [X2,X0,X1] : double_divide(identity,double_divide(double_divide(identity,X0),X1)) = double_divide(double_divide(X1,identity),double_divide(double_divide(identity,X2),double_divide(X0,double_divide(X2,identity)))),
inference(forward_demodulation,[],[f1570,f640]) ).
fof(f1598,plain,
! [X2,X0,X1] : double_divide(double_divide(X1,identity),X0) = double_divide(identity,double_divide(double_divide(X2,double_divide(X1,identity)),double_divide(X0,double_divide(X2,identity)))),
inference(forward_demodulation,[],[f1571,f929]) ).
fof(f1612,plain,
! [X2,X0,X1] : double_divide(identity,double_divide(double_divide(identity,X0),X1)) = double_divide(identity,double_divide(double_divide(X2,double_divide(X1,identity)),double_divide(X0,double_divide(X2,identity)))),
inference(forward_demodulation,[],[f1597,f1130]) ).
fof(f1620,plain,
! [X0,X1] : double_divide(double_divide(X1,identity),X0) = double_divide(identity,double_divide(double_divide(identity,X0),X1)),
inference(forward_demodulation,[],[f1612,f1598]) ).
fof(f1633,plain,
! [X0,X1] : double_divide(double_divide(X1,identity),double_divide(identity,double_divide(X0,double_divide(identity,identity)))) = double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),X1)),
inference(superposition,[],[f1620,f165]) ).
fof(f1657,plain,
! [X0,X1] : double_divide(double_divide(double_divide(identity,X0),identity),X1) = double_divide(double_divide(double_divide(identity,X1),identity),X0),
inference(superposition,[],[f1117,f1620]) ).
fof(f1658,plain,
! [X0,X1] : double_divide(identity,double_divide(identity,double_divide(double_divide(identity,X1),identity))) = double_divide(X0,double_divide(double_divide(double_divide(identity,X0),identity),X1)),
inference(superposition,[],[f165,f1620]) ).
fof(f1707,plain,
! [X0,X1] : double_divide(identity,double_divide(identity,double_divide(double_divide(identity,X1),identity))) = double_divide(X0,double_divide(double_divide(identity,double_divide(identity,X0)),X1)),
inference(forward_demodulation,[],[f1658,f1128]) ).
fof(f1708,plain,
! [X0,X1] : double_divide(double_divide(double_divide(identity,X0),identity),X1) = double_divide(double_divide(identity,double_divide(identity,X1)),X0),
inference(forward_demodulation,[],[f1657,f1128]) ).
fof(f1723,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(X0,identity)),double_divide(identity,X1)) = double_divide(double_divide(X1,identity),double_divide(identity,double_divide(X0,double_divide(identity,identity)))),
inference(forward_demodulation,[],[f1633,f1127]) ).
fof(f1748,plain,
! [X0,X1] : double_divide(identity,double_divide(identity,double_divide(double_divide(identity,X1),identity))) = double_divide(X0,double_divide(X0,X1)),
inference(forward_demodulation,[],[f1707,f725]) ).
fof(f1749,plain,
! [X0,X1] : double_divide(X1,X0) = double_divide(double_divide(double_divide(identity,X0),identity),X1),
inference(forward_demodulation,[],[f1708,f725]) ).
fof(f1764,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(X0,identity)),double_divide(identity,X1)) = double_divide(double_divide(X1,identity),double_divide(double_divide(X0,identity),identity)),
inference(forward_demodulation,[],[f1723,f1117]) ).
fof(f1785,plain,
! [X0,X1] : double_divide(double_divide(identity,X1),identity) = double_divide(X0,double_divide(X0,X1)),
inference(forward_demodulation,[],[f1748,f725]) ).
fof(f1786,plain,
! [X0,X1] : double_divide(X1,X0) = double_divide(double_divide(identity,double_divide(identity,X0)),X1),
inference(forward_demodulation,[],[f1749,f1128]) ).
fof(f1800,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(X0,identity)),double_divide(identity,X1)) = double_divide(double_divide(X1,identity),double_divide(identity,double_divide(X0,identity))),
inference(forward_demodulation,[],[f1764,f1137]) ).
fof(f1811,plain,
! [X0,X1] : double_divide(identity,double_divide(identity,X1)) = double_divide(X0,double_divide(X0,X1)),
inference(forward_demodulation,[],[f1785,f640]) ).
fof(f1812,plain,
! [X0,X1] : double_divide(X1,X0) = double_divide(X0,X1),
inference(forward_demodulation,[],[f1786,f725]) ).
fof(f1821,plain,
! [X0,X1] : double_divide(X0,double_divide(identity,X1)) = double_divide(double_divide(X1,identity),X0),
inference(forward_demodulation,[],[f1800,f929]) ).
fof(f1827,plain,
! [X0,X1] : double_divide(X0,double_divide(X0,X1)) = X1,
inference(forward_demodulation,[],[f1811,f725]) ).
fof(f1910,plain,
! [X0,X1] : double_divide(double_divide(identity,X1),double_divide(identity,X0)) = double_divide(double_divide(X0,identity),double_divide(X1,identity)),
inference(superposition,[],[f1128,f1821]) ).
fof(f1971,plain,
! [X0,X1] : double_divide(double_divide(identity,X1),double_divide(identity,X0)) = double_divide(identity,double_divide(X0,X1)),
inference(forward_demodulation,[],[f1910,f1437]) ).
fof(f2623,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,identity)) = double_divide(double_divide(identity,X1),double_divide(identity,double_divide(identity,double_divide(identity,double_divide(identity,X0))))),
inference(superposition,[],[f1827,f171]) ).
fof(f2665,plain,
! [X0,X1] : double_divide(identity,double_divide(X0,X1)) = double_divide(double_divide(X1,identity),double_divide(identity,X0)),
inference(superposition,[],[f1620,f1827]) ).
fof(f2717,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,identity)) = double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(identity,X0))),X1)),
inference(forward_demodulation,[],[f2623,f1971]) ).
fof(f2756,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,identity)) = double_divide(double_divide(identity,double_divide(identity,X0)),double_divide(identity,X1)),
inference(forward_demodulation,[],[f2717,f1127]) ).
fof(f2784,plain,
! [X0,X1] : double_divide(identity,double_divide(X1,double_divide(identity,X0))) = double_divide(X0,double_divide(X1,identity)),
inference(forward_demodulation,[],[f2756,f1971]) ).
fof(f4350,plain,
! [X2,X0,X1] : double_divide(identity,double_divide(X2,double_divide(X0,double_divide(X1,X0)))) = double_divide(double_divide(X1,identity),double_divide(X2,identity)),
inference(superposition,[],[f2784,f636]) ).
fof(f4427,plain,
! [X2,X0,X1] : double_divide(identity,double_divide(X2,double_divide(X0,double_divide(X1,X0)))) = double_divide(identity,double_divide(X1,X2)),
inference(forward_demodulation,[],[f4350,f1437]) ).
fof(f4514,plain,
! [X2,X1] : double_divide(identity,double_divide(X2,X1)) = double_divide(identity,double_divide(X1,X2)),
inference(forward_demodulation,[],[f4427,f929]) ).
fof(f5429,plain,
! [X0,X1] : double_divide(identity,double_divide(X0,double_divide(identity,X1))) = double_divide(double_divide(identity,X0),X1),
inference(superposition,[],[f1129,f18]) ).
fof(f5466,plain,
! [X2,X0,X1] : double_divide(double_divide(X1,X2),double_divide(identity,X0)) = double_divide(identity,double_divide(X2,double_divide(double_divide(X0,identity),double_divide(identity,X1)))),
inference(superposition,[],[f1129,f1821]) ).
fof(f5500,plain,
! [X2,X0,X1] : double_divide(double_divide(X1,double_divide(identity,X0)),X2) = double_divide(identity,double_divide(double_divide(X0,identity),double_divide(double_divide(identity,X1),X2))),
inference(superposition,[],[f1129,f1128]) ).
fof(f5502,plain,
! [X2,X0,X1] : double_divide(identity,double_divide(double_divide(identity,X0),double_divide(double_divide(identity,X1),X2))) = double_divide(double_divide(X1,double_divide(X0,identity)),X2),
inference(superposition,[],[f1129,f1128]) ).
fof(f5594,plain,
! [X2,X0,X1] : double_divide(double_divide(X1,double_divide(X0,identity)),X2) = double_divide(X0,double_divide(identity,double_divide(double_divide(identity,X1),X2))),
inference(forward_demodulation,[],[f5502,f1127]) ).
fof(f5596,plain,
! [X2,X0,X1] : double_divide(double_divide(X1,double_divide(identity,X0)),X2) = double_divide(X0,double_divide(identity,double_divide(double_divide(identity,X1),X2))),
inference(forward_demodulation,[],[f5500,f1489]) ).
fof(f5626,plain,
! [X2,X0,X1] : double_divide(identity,double_divide(X2,double_divide(identity,double_divide(X1,X0)))) = double_divide(double_divide(X1,X2),double_divide(identity,X0)),
inference(forward_demodulation,[],[f5466,f2665]) ).
fof(f5678,plain,
! [X2,X0,X1] : double_divide(X0,double_divide(X1,double_divide(identity,X2))) = double_divide(double_divide(X1,double_divide(X0,identity)),X2),
inference(forward_demodulation,[],[f5594,f1127]) ).
fof(f5679,plain,
! [X2,X0,X1] : double_divide(X0,double_divide(X1,double_divide(identity,X2))) = double_divide(double_divide(X1,double_divide(identity,X0)),X2),
inference(forward_demodulation,[],[f5596,f1127]) ).
fof(f5702,plain,
! [X2,X0,X1] : double_divide(double_divide(X2,identity),double_divide(X1,X0)) = double_divide(double_divide(X1,X2),double_divide(identity,X0)),
inference(forward_demodulation,[],[f5626,f1117]) ).
fof(f6079,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,[],[f5429,f4514]) ).
fof(f6275,plain,
! [X2,X0,X1] : double_divide(double_divide(X2,identity),double_divide(X0,X1)) = double_divide(double_divide(identity,X2),double_divide(X1,X0)),
inference(forward_demodulation,[],[f6079,f1117]) ).
fof(f6926,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(identity,X1)),double_divide(identity,X2)) = double_divide(double_divide(double_divide(X1,identity),identity),double_divide(X0,X2)),
inference(superposition,[],[f5702,f1137]) ).
fof(f7080,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,identity),double_divide(X1,X2)) = double_divide(double_divide(identity,X2),double_divide(X1,X0)),
inference(superposition,[],[f1812,f5702]) ).
fof(f7196,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(identity,X1)),double_divide(identity,X2)) = double_divide(double_divide(identity,double_divide(X1,identity)),double_divide(X2,X0)),
inference(forward_demodulation,[],[f6926,f6275]) ).
fof(f7338,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(identity,X1)),double_divide(identity,X2)) = double_divide(X1,double_divide(identity,double_divide(identity,double_divide(X2,X0)))),
inference(forward_demodulation,[],[f7196,f5678]) ).
fof(f7449,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(identity,X1)),double_divide(identity,X2)) = double_divide(X1,double_divide(X2,X0)),
inference(forward_demodulation,[],[f7338,f1827]) ).
fof(f7528,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(X0,double_divide(identity,double_divide(identity,X2)))) = double_divide(X1,double_divide(X2,X0)),
inference(forward_demodulation,[],[f7449,f5679]) ).
fof(f7582,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(X0,X2)) = double_divide(X1,double_divide(X2,X0)),
inference(forward_demodulation,[],[f7528,f1827]) ).
fof(f7733,plain,
! [X2,X0,X1] : double_divide(X2,double_divide(X0,double_divide(X1,identity))) = double_divide(X2,double_divide(X0,double_divide(identity,X1))),
inference(superposition,[],[f7582,f1821]) ).
fof(f7904,plain,
! [X2,X0,X1] : double_divide(X0,double_divide(X1,X2)) = double_divide(double_divide(X2,X1),X0),
inference(superposition,[],[f1812,f7582]) ).
fof(f8526,plain,
! [X2,X0,X1] : double_divide(double_divide(X1,X0),X2) = double_divide(double_divide(X0,X1),X2),
inference(superposition,[],[f1812,f7904]) ).
fof(f8583,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,f7904]) ).
fof(f8672,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)
| 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,[],[f8583,f594]) ).
fof(f8809,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)
| identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity) ),
inference(forward_subsumption_resolution,[],[f8672,f8526]) ).
fof(f8913,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))))
| identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity) ),
inference(forward_demodulation,[],[f8809,f640]) ).
fof(f8994,plain,
( double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(double_divide(a3,identity),double_divide(c3,b3))
| identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity) ),
inference(forward_demodulation,[],[f8913,f1117]) ).
fof(f9047,plain,
( double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(double_divide(a3,identity),double_divide(b3,c3))
| identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity) ),
inference(forward_demodulation,[],[f8994,f7582]) ).
fof(f9085,plain,
( double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(double_divide(identity,a3),double_divide(c3,b3))
| identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity) ),
inference(forward_demodulation,[],[f9047,f6275]) ).
fof(f9109,plain,
( double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(double_divide(identity,a3),double_divide(b3,c3))
| identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity) ),
inference(forward_demodulation,[],[f9085,f7582]) ).
fof(f9129,plain,
( double_divide(identity,double_divide(c3,double_divide(double_divide(b3,a3),identity))) != double_divide(double_divide(identity,a3),double_divide(b3,c3))
| identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity) ),
inference(forward_demodulation,[],[f9109,f640]) ).
fof(f9145,plain,
( double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3)))) != double_divide(double_divide(identity,a3),double_divide(b3,c3))
| identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity) ),
inference(forward_demodulation,[],[f9129,f7733]) ).
fof(f9154,plain,
( double_divide(double_divide(c3,identity),double_divide(b3,a3)) != double_divide(double_divide(identity,a3),double_divide(b3,c3))
| identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity) ),
inference(forward_demodulation,[],[f9145,f1117]) ).
fof(f9160,plain,
identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity),
inference(forward_subsumption_resolution,[],[f9154,f7080]) ).
fof(f9164,plain,
identity != double_divide(identity,double_divide(a1,double_divide(a1,identity))),
inference(forward_demodulation,[],[f9160,f640]) ).
fof(f9167,plain,
identity != double_divide(identity,double_divide(a1,double_divide(identity,a1))),
inference(forward_demodulation,[],[f9164,f7733]) ).
fof(f9170,plain,
identity != double_divide(double_divide(a1,identity),a1),
inference(forward_demodulation,[],[f9167,f1117]) ).
fof(f9173,plain,
$false,
inference(forward_subsumption_resolution,[],[f9170,f642]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP103-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n009.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 09:19:15 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.40 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
% 9.49/2.18 % (1763707)Input is clausal, will run a generic CNF schedule.
% 9.49/2.18 % (1763716)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=523703959:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.49/2.18 % (1763716)Instruction limit reached!
% 9.49/2.18 % (1763716)------------------------------
% 9.49/2.18 % (1763716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.49/2.18 % (1763716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.49/2.18 % (1763716)CaDiCaL version: 2.1.3
% 9.49/2.18 % (1763716)Termination reason: Instruction limit
% 9.49/2.18 % (1763716)Termination phase: Saturation
% 9.49/2.18 % (1763716)Time elapsed: 0.038 s
% 9.49/2.18 % (1763716)Peak memory usage: 89 MB
% 9.49/2.18 % (1763716)Instructions burned: 115 (million)
% 9.49/2.18 % (1763715)lrs+10_1_sil=8000:sp=occurrence:random_seed=1038035291:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.49/2.18 % (1763718)dis-21_1_sil=8000:lcm=predicate:random_seed=1667384966: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)
% 9.49/2.18 % (1763714)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2025166095:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.49/2.18 % (1763712)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=1162848678:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.49/2.18 % (1763713)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=811149093:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.49/2.18 % (1763717)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3547201035:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.49/2.18 % (1763718)Refutation not found, incomplete strategy
% 9.49/2.18 % (1763718)------------------------------
% 9.49/2.18 % (1763718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.49/2.18 % (1763718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.49/2.18 % (1763718)CaDiCaL version: 2.1.3
% 9.49/2.18 % (1763718)Termination reason: Refutation not found, incomplete strategy
% 9.49/2.18 % (1763718)Time elapsed: 0.001 s
% 9.49/2.18 % (1763718)Peak memory usage: 88 MB
% 9.49/2.18 % (1763715)Instruction limit reached!
% 9.49/2.18 % (1763715)------------------------------
% 9.49/2.18 % (1763715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.49/2.18 % (1763715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.49/2.18 % (1763715)CaDiCaL version: 2.1.3
% 9.49/2.18 % (1763715)Termination reason: Instruction limit
% 9.49/2.18 % (1763715)Termination phase: Saturation
% 9.49/2.18 % (1763715)Time elapsed: 0.065 s
% 9.49/2.18 % (1763715)Peak memory usage: 89 MB
% 9.49/2.18 % (1763715)Instructions burned: 108 (million)
% 9.49/2.18 % (1763717)Instruction limit reached!
% 9.49/2.18 % (1763717)------------------------------
% 9.49/2.18 % (1763717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.49/2.18 % (1763717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.49/2.18 % (1763717)CaDiCaL version: 2.1.3
% 9.49/2.18 % (1763717)Termination reason: Instruction limit
% 9.49/2.18 % (1763717)Termination phase: Saturation
% 9.49/2.18 % (1763717)Time elapsed: 0.103 s
% 9.49/2.18 % (1763717)Peak memory usage: 90 MB
% 9.49/2.18 % (1763717)Instructions burned: 182 (million)
% 9.49/2.18 % (1763720)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=59088681:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 9.49/2.18 % (1763720)Refutation not found, incomplete strategy
% 9.49/2.18 % (1763720)------------------------------
% 9.49/2.18 % (1763720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.49/2.18 % (1763720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.49/2.18 % (1763720)CaDiCaL version: 2.1.3
% 9.49/2.18 % (1763720)Termination reason: Refutation not found, incomplete strategy
% 9.49/2.18 % (1763720)Time elapsed: 0.001 s
% 9.49/2.18 % (1763720)Peak memory usage: 88 MB
% 9.49/2.18 % (1763727)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2863361701: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)
% 9.49/2.18 % (1763727)Refutation not found, incomplete strategy
% 9.49/2.18 % (1763727)------------------------------
% 9.49/2.18 % (1763727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.49/2.18 % (1763727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.49/2.18 % (1763727)CaDiCaL version: 2.1.3
% 9.49/2.18 % (1763727)Termination reason: Refutation not found, incomplete strategy
% 9.49/2.18 % (1763727)Time elapsed: 0.002 s
% 9.49/2.18 % (1763727)Peak memory usage: 88 MB
% 9.49/2.18 % (1763718)------------------------------
% 9.49/2.18 % (1763718)------------------------------
% 9.49/2.18 % (1763720)------------------------------
% 9.49/2.18 % (1763720)------------------------------
% 9.49/2.18 % (1763728)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3221763609:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 9.49/2.18 % (1763728)Refutation not found, incomplete strategy
% 9.49/2.18 % (1763728)------------------------------
% 9.49/2.18 % (1763728)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.49/2.18 % (1763728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.49/2.18 % (1763728)CaDiCaL version: 2.1.3
% 9.49/2.18 % (1763728)Termination reason: Refutation not found, incomplete strategy
% 9.49/2.18 % (1763728)Time elapsed: 0.002 s
% 9.49/2.18 % (1763728)Peak memory usage: 88 MB
% 9.49/2.18 % (1763728)Instructions burned: 1 (million)
% 9.49/2.18 % (1763732)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2396570124:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 9.49/2.18 % (1763731)lrs+10_64_to=lpo:sil=8000:random_seed=892349454:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 9.49/2.18 % (1763732)Instruction limit reached!
% 9.49/2.18 % (1763732)------------------------------
% 9.49/2.18 % (1763732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.49/2.18 % (1763732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.49/2.18 % (1763732)CaDiCaL version: 2.1.3
% 9.49/2.18 % (1763732)Termination reason: Instruction limit
% 9.49/2.18 % (1763732)Termination phase: Saturation
% 9.49/2.18 % (1763732)Time elapsed: 0.062 s
% 9.49/2.18 % (1763732)Peak memory usage: 89 MB
% 9.49/2.18 % (1763732)Instructions burned: 196 (million)
% 9.49/2.18 % (1763727)------------------------------
% 9.49/2.18 % (1763727)------------------------------
% 9.49/2.18 % (1763731)Instruction limit reached!
% 9.49/2.18 % (1763731)------------------------------
% 9.49/2.18 % (1763731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.49/2.18 % (1763731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.49/2.18 % (1763731)CaDiCaL version: 2.1.3
% 9.49/2.18 % (1763731)Termination reason: Instruction limit
% 9.49/2.18 % (1763731)Termination phase: Saturation
% 9.49/2.18 % (1763731)Time elapsed: 0.075 s
% 9.49/2.18 % (1763731)Peak memory usage: 88 MB
% 9.49/2.18 % (1763731)Instructions burned: 126 (million)
% 9.49/2.18 % (1763728)------------------------------
% 9.49/2.18 % (1763728)------------------------------
% 9.49/2.18 % (1763736)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3653494116:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 9.49/2.18 % (1763736)Instruction limit reached!
% 9.49/2.18 % (1763736)------------------------------
% 9.49/2.18 % (1763736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.49/2.18 % (1763736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.49/2.18 % (1763736)CaDiCaL version: 2.1.3
% 9.49/2.18 % (1763736)Termination reason: Instruction limit
% 9.49/2.18 % (1763736)Termination phase: Saturation
% 9.49/2.18 % (1763736)Time elapsed: 0.050 s
% 9.49/2.18 % (1763736)Peak memory usage: 91 MB
% 9.49/2.18 % (1763736)Instructions burned: 159 (million)
% 9.49/2.18 % (1763738)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=3935025569:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 9.49/2.18 % (1763737)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3969264:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 9.49/2.18 % (1763739)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1595976388:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 9.49/2.18 % (1763739)Refutation not found, incomplete strategy
% 9.49/2.18 % (1763739)------------------------------
% 9.49/2.18 % (1763739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.49/2.18 % (1763739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.49/2.18 % (1763739)CaDiCaL version: 2.1.3
% 9.49/2.18 % (1763739)Termination reason: Refutation not found, incomplete strategy
% 9.49/2.18 % (1763739)Time elapsed: 0.001 s
% 9.49/2.18 % (1763739)Peak memory usage: 88 MB
% 9.49/2.18 % (1763738)Instruction limit reached!
% 9.49/2.18 % (1763738)------------------------------
% 9.49/2.18 % (1763738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.49/2.18 % (1763738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.49/2.18 % (1763738)CaDiCaL version: 2.1.3
% 9.49/2.18 % (1763738)Termination reason: Instruction limit
% 9.49/2.18 % (1763738)Termination phase: Saturation
% 9.49/2.18 % (1763738)Time elapsed: 0.068 s
% 9.49/2.18 % (1763738)Peak memory usage: 89 MB
% 9.49/2.18 % (1763738)Instructions burned: 106 (million)
% 9.49/2.18 % (1763743)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=745757350:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 9.49/2.18 % (1763743)Instruction limit reached!
% 9.49/2.18 % (1763743)------------------------------
% 9.49/2.18 % (1763743)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.49/2.18 % (1763743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.49/2.18 % (1763743)CaDiCaL version: 2.1.3
% 9.49/2.18 % (1763743)Termination reason: Instruction limit
% 9.49/2.18 % (1763743)Termination phase: Saturation
% 9.49/2.18 % (1763743)Time elapsed: 0.069 s
% 9.49/2.18 % (1763743)Peak memory usage: 90 MB
% 9.49/2.18 % (1763743)Instructions burned: 245 (million)
% 9.49/2.18 % (1763745)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3727620716:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 9.49/2.18 % (1763713)First to succeed.
% 9.49/2.18 % (1763713)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1763707"
% 9.49/2.18 % (1763747)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=510376142:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 9.49/2.18 % (1763739)------------------------------
% 9.49/2.18 % (1763739)------------------------------
% 9.49/2.18 % (1763747)Instruction limit reached!
% 9.49/2.18 % (1763747)------------------------------
% 9.49/2.18 % (1763747)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.49/2.18 % (1763747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.49/2.18 % (1763747)CaDiCaL version: 2.1.3
% 9.49/2.18 % (1763747)Termination reason: Instruction limit
% 9.49/2.18 % (1763747)Termination phase: Saturation
% 9.49/2.18 % (1763747)Time elapsed: 0.043 s
% 9.49/2.18 % (1763747)Peak memory usage: 89 MB
% 9.49/2.18 % (1763747)Instructions burned: 137 (million)
% 9.49/2.18 % (1763750)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2068288415:i=499:bd=all_2988 on theBenchmark for (2988ds/499Mi)
% 9.49/2.18 % (1763751)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2121051647:i=191:fgj=on:bd=all_2988 on theBenchmark for (2988ds/191Mi)
% 9.49/2.18 % (1763751)Instruction limit reached!
% 9.49/2.18 % (1763751)------------------------------
% 9.49/2.18 % (1763751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.49/2.18 % (1763751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.49/2.18 % (1763751)CaDiCaL version: 2.1.3
% 9.49/2.18 % (1763751)Termination reason: Instruction limit
% 9.49/2.18 % (1763751)Termination phase: Saturation
% 9.49/2.18 % (1763751)Time elapsed: 0.064 s
% 9.49/2.18 % (1763751)Peak memory usage: 89 MB
% 9.49/2.18 % (1763751)Instructions burned: 192 (million)
% 9.49/2.18 % (1763713)Refutation found. Thanks to Tanya!
% 9.49/2.18 % SZS status Unsatisfiable for theBenchmark
% 9.49/2.18 % SZS output start Proof for theBenchmark
% See solution above
% 10.00/2.38 % (1763713)------------------------------
% 10.00/2.38 % (1763713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.00/2.38 % (1763713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.00/2.38 % (1763713)CaDiCaL version: 2.1.3
% 10.00/2.38 % (1763713)Termination reason: Refutation
% 10.00/2.38 % (1763713)Time elapsed: 0.906 s
% 10.00/2.38 % (1763713)Peak memory usage: 129 MB
% 10.00/2.38 % (1763713)Instructions burned: 1373 (million)
% 10.00/2.38 % (1763713)------------------------------
% 10.00/2.38 % (1763713)------------------------------
% 10.00/2.38 % (1763707)Success in time 1.338 s
% 10.00/2.38 % Vampire exiting
%------------------------------------------------------------------------------