%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP105-1 : 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 : n001.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 10:12:36 AM UTC 2026
% Result : Unsatisfiable 8.65s 2.11s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 82
% Number of leaves : 3
% Syntax : Number of formulae : 165 ( 153 unt; 0 def)
% Number of atoms : 186 ( 185 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 56 ( 35 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 536 ( 536 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : double_divide(inverse(double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(X2))))),X1) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f3,negated_conjecture,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),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(f4,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(reorient_equations,[],[f3]) ).
fof(f5,plain,
( inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(inverse(double_divide(c3,b3)),a3))
| a2 != inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2)))))
| inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1)))
| inverse(double_divide(b4,a4)) != inverse(double_divide(a4,b4)) ),
inference(definition_unfolding,[],[f4,f2,f2,f2,f2,f2,f2,f2,f2,f2,f2]) ).
fof(f6,plain,
! [X2,X3,X0,X1] : double_divide(inverse(double_divide(X0,inverse(double_divide(inverse(double_divide(double_divide(X1,X2),inverse(double_divide(X1,inverse(X0))))),inverse(X3))))),X2) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f7,plain,
! [X2,X3,X0,X1] : double_divide(inverse(double_divide(double_divide(inverse(double_divide(double_divide(X1,inverse(X2)),inverse(double_divide(X1,inverse(X0))))),X3),inverse(X0))),X3) = X2,
inference(superposition,[],[f1,f1]) ).
fof(f12,plain,
! [X2,X0] : double_divide(inverse(double_divide(X0,inverse(X0))),inverse(X2)) = X2,
inference(superposition,[],[f7,f1]) ).
fof(f28,plain,
! [X2,X0] : double_divide(inverse(double_divide(X0,inverse(X2))),inverse(X0)) = X2,
inference(superposition,[],[f7,f12]) ).
fof(f43,plain,
! [X0,X1] : double_divide(inverse(X0),inverse(inverse(double_divide(X1,inverse(X1))))) = X0,
inference(superposition,[],[f28,f12]) ).
fof(f63,plain,
! [X0,X1] : double_divide(X0,inverse(X0)) = inverse(double_divide(X1,inverse(X1))),
inference(superposition,[],[f12,f43]) ).
fof(f76,plain,
! [X2,X0,X1] : double_divide(inverse(double_divide(X0,inverse(double_divide(inverse(X0),inverse(X2))))),inverse(inverse(double_divide(X1,inverse(X1))))) = X2,
inference(superposition,[],[f1,f43]) ).
fof(f77,plain,
! [X2,X0] : double_divide(X0,inverse(double_divide(inverse(X0),inverse(X2)))) = X2,
inference(forward_demodulation,[],[f76,f43]) ).
fof(f87,plain,
! [X0,X1] : double_divide(double_divide(X1,inverse(X1)),inverse(X0)) = X0,
inference(superposition,[],[f77,f12]) ).
fof(f90,plain,
! [X0,X1] : double_divide(X1,inverse(X0)) = double_divide(inverse(inverse(X1)),inverse(X0)),
inference(superposition,[],[f77,f77]) ).
fof(f92,plain,
! [X0,X1] : double_divide(inverse(X0),inverse(X1)) = double_divide(inverse(X1),inverse(X0)),
inference(superposition,[],[f28,f77]) ).
fof(f198,plain,
! [X0,X1] : inverse(double_divide(X0,inverse(X0))) = inverse(double_divide(X1,inverse(X1))),
inference(superposition,[],[f12,f63]) ).
fof(f211,plain,
! [X2,X3,X0,X1] : inverse(double_divide(double_divide(X2,X3),inverse(double_divide(X2,inverse(X1))))) = double_divide(inverse(double_divide(X1,double_divide(X0,inverse(X0)))),X3),
inference(superposition,[],[f6,f63]) ).
fof(f212,plain,
! [X0,X1] : inverse(X1) = double_divide(X1,double_divide(X0,inverse(X0))),
inference(superposition,[],[f77,f63]) ).
fof(f227,plain,
! [X0,X1] : double_divide(double_divide(X0,inverse(X0)),inverse(X1)) = double_divide(inverse(X1),double_divide(X0,inverse(X0))),
inference(superposition,[],[f92,f63]) ).
fof(f228,plain,
! [X0,X1] : double_divide(inverse(X1),double_divide(X0,inverse(X0))) = X1,
inference(forward_demodulation,[],[f227,f87]) ).
fof(f237,plain,
! [X2,X3,X1] : inverse(double_divide(double_divide(X2,X3),inverse(double_divide(X2,inverse(X1))))) = double_divide(inverse(inverse(X1)),X3),
inference(forward_demodulation,[],[f211,f212]) ).
fof(f255,plain,
! [X1] : inverse(inverse(X1)) = X1,
inference(forward_demodulation,[],[f228,f212]) ).
fof(f283,plain,
! [X0,X1] : inverse(X0) = double_divide(inverse(double_divide(X1,X0)),inverse(X1)),
inference(superposition,[],[f28,f255]) ).
fof(f292,plain,
! [X0,X1] : double_divide(X0,inverse(X1)) = double_divide(inverse(X1),X0),
inference(superposition,[],[f92,f255]) ).
fof(f297,plain,
! [X0,X1] : inverse(X0) = double_divide(inverse(X1),inverse(double_divide(X1,X0))),
inference(forward_demodulation,[],[f283,f92]) ).
fof(f325,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(double_divide(X2,X3),inverse(double_divide(X2,inverse(X1)))),X0) = double_divide(inverse(double_divide(X1,inverse(inverse(X0)))),X3),
inference(superposition,[],[f6,f297]) ).
fof(f329,plain,
! [X0,X1] : double_divide(X1,X0) = double_divide(inverse(inverse(X0)),inverse(inverse(X1))),
inference(superposition,[],[f28,f297]) ).
fof(f342,plain,
! [X0,X1] : double_divide(X1,X0) = double_divide(X0,inverse(inverse(X1))),
inference(forward_demodulation,[],[f329,f90]) ).
fof(f343,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(double_divide(X2,X3),inverse(double_divide(X2,inverse(X1)))),X0) = double_divide(inverse(double_divide(X1,X0)),X3),
inference(forward_demodulation,[],[f325,f255]) ).
fof(f358,plain,
! [X0,X1] : double_divide(X0,X1) = double_divide(X1,X0),
inference(forward_demodulation,[],[f342,f255]) ).
fof(f420,plain,
! [X2,X0,X1] : double_divide(X0,inverse(double_divide(double_divide(X1,X0),inverse(double_divide(X1,inverse(X2)))))) = X2,
inference(superposition,[],[f1,f358]) ).
fof(f435,plain,
! [X2,X0] : double_divide(X0,double_divide(inverse(inverse(X2)),X0)) = X2,
inference(forward_demodulation,[],[f420,f237]) ).
fof(f471,plain,
! [X2,X0] : double_divide(X0,double_divide(X2,X0)) = X2,
inference(forward_demodulation,[],[f435,f255]) ).
fof(f521,plain,
! [X2,X0,X1] : double_divide(X1,X0) = inverse(double_divide(double_divide(X2,X1),inverse(double_divide(X2,inverse(X0))))),
inference(superposition,[],[f471,f1]) ).
fof(f525,plain,
! [X0,X1] : inverse(double_divide(X1,inverse(X0))) = double_divide(inverse(X1),X0),
inference(superposition,[],[f471,f28]) ).
fof(f533,plain,
! [X0,X1] : double_divide(X0,double_divide(X0,X1)) = X1,
inference(superposition,[],[f471,f358]) ).
fof(f535,plain,
! [X0,X1] : double_divide(inverse(X1),inverse(X0)) = inverse(double_divide(X0,X1)),
inference(superposition,[],[f297,f471]) ).
fof(f549,plain,
! [X2,X0,X1] : double_divide(X1,X0) = double_divide(inverse(double_divide(X2,X1)),double_divide(X2,inverse(X0))),
inference(forward_demodulation,[],[f521,f525]) ).
fof(f579,plain,
! [X2,X0,X1] : double_divide(inverse(X0),double_divide(X1,inverse(X2))) = double_divide(double_divide(X0,X1),X2),
inference(superposition,[],[f549,f471]) ).
fof(f591,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(X2,X0)) = double_divide(inverse(double_divide(inverse(X2),X1)),inverse(X0)),
inference(superposition,[],[f549,f297]) ).
fof(f592,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(inverse(X2),inverse(X0))) = double_divide(inverse(double_divide(X2,X1)),X0),
inference(superposition,[],[f549,f77]) ).
fof(f605,plain,
! [X2,X0,X1] : inverse(double_divide(X2,inverse(X1))) = double_divide(inverse(inverse(double_divide(X2,X0))),inverse(double_divide(X0,X1))),
inference(superposition,[],[f297,f549]) ).
fof(f609,plain,
! [X2,X0,X1] : inverse(double_divide(X2,inverse(X1))) = double_divide(double_divide(X2,X0),inverse(double_divide(X0,X1))),
inference(forward_demodulation,[],[f605,f90]) ).
fof(f616,plain,
! [X2,X0,X1] : double_divide(inverse(double_divide(X2,X1)),X0) = double_divide(X1,inverse(double_divide(X0,X2))),
inference(forward_demodulation,[],[f592,f535]) ).
fof(f617,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(X2,X0)) = inverse(double_divide(X0,double_divide(inverse(X2),X1))),
inference(forward_demodulation,[],[f591,f535]) ).
fof(f640,plain,
! [X2,X0,X1] : double_divide(inverse(X2),X1) = double_divide(double_divide(X2,X0),inverse(double_divide(X0,X1))),
inference(forward_demodulation,[],[f609,f525]) ).
fof(f724,plain,
! [X0,X1] : inverse(double_divide(X1,X0)) = double_divide(inverse(X1),inverse(X0)),
inference(superposition,[],[f525,f255]) ).
fof(f772,plain,
! [X0,X1] : double_divide(X0,inverse(X1)) = inverse(double_divide(inverse(X0),X1)),
inference(superposition,[],[f255,f525]) ).
fof(f915,plain,
! [X2,X0,X1] : inverse(double_divide(double_divide(X0,inverse(X1)),X2)) = double_divide(inverse(X2),double_divide(inverse(X0),X1)),
inference(superposition,[],[f535,f525]) ).
fof(f936,plain,
! [X2,X3,X0,X1] : inverse(double_divide(X0,double_divide(double_divide(inverse(double_divide(double_divide(X1,inverse(X2)),inverse(double_divide(X1,inverse(X3))))),inverse(X0)),inverse(X3)))) = X2,
inference(superposition,[],[f7,f535]) ).
fof(f982,plain,
! [X2,X3,X0,X1] : inverse(double_divide(X0,double_divide(inverse(X3),double_divide(inverse(double_divide(double_divide(X1,inverse(X2)),inverse(double_divide(X1,inverse(X3))))),inverse(X0))))) = X2,
inference(forward_demodulation,[],[f936,f292]) ).
fof(f1016,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(inverse(double_divide(double_divide(X1,inverse(X2)),inverse(double_divide(X1,inverse(X3))))),inverse(X0)),double_divide(X3,X0)) = X2,
inference(forward_demodulation,[],[f982,f617]) ).
fof(f1037,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(X3,X0),double_divide(inverse(double_divide(double_divide(X1,inverse(X2)),inverse(double_divide(X1,inverse(X3))))),inverse(X0))) = X2,
inference(forward_demodulation,[],[f1016,f358]) ).
fof(f1051,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(X3,X0),double_divide(inverse(double_divide(X1,inverse(X3))),inverse(double_divide(inverse(X0),double_divide(X1,inverse(X2)))))) = X2,
inference(forward_demodulation,[],[f1037,f616]) ).
fof(f1063,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(X3,X0),double_divide(inverse(X3),inverse(double_divide(inverse(double_divide(inverse(X0),double_divide(X1,inverse(X2)))),X1)))) = X2,
inference(forward_demodulation,[],[f1051,f616]) ).
fof(f1074,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(X3,X0),inverse(double_divide(double_divide(inverse(double_divide(inverse(X0),double_divide(X1,inverse(X2)))),X1),X3))) = X2,
inference(forward_demodulation,[],[f1063,f535]) ).
fof(f1083,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(X3,X0),inverse(double_divide(double_divide(double_divide(X1,inverse(X2)),inverse(double_divide(X1,inverse(X0)))),X3))) = X2,
inference(forward_demodulation,[],[f1074,f616]) ).
fof(f1089,plain,
! [X2,X3,X0] : double_divide(double_divide(X3,X0),inverse(double_divide(inverse(double_divide(X0,X3)),inverse(X2)))) = X2,
inference(forward_demodulation,[],[f1083,f343]) ).
fof(f1095,plain,
! [X2,X3,X0] : double_divide(double_divide(X3,X0),double_divide(inverse(inverse(double_divide(X0,X3))),X2)) = X2,
inference(forward_demodulation,[],[f1089,f525]) ).
fof(f1101,plain,
! [X2,X3,X0] : double_divide(double_divide(X3,X0),double_divide(double_divide(X0,X3),X2)) = X2,
inference(forward_demodulation,[],[f1095,f255]) ).
fof(f1213,plain,
! [X0,X1] : inverse(double_divide(X1,X0)) = inverse(double_divide(X0,X1)),
inference(superposition,[],[f535,f724]) ).
fof(f1586,plain,
! [X2,X0,X1] : double_divide(inverse(double_divide(X2,X1)),inverse(X0)) = inverse(double_divide(double_divide(X1,X2),X0)),
inference(superposition,[],[f297,f1101]) ).
fof(f1592,plain,
! [X2,X0,X1] : inverse(double_divide(double_divide(X1,X2),X0)) = double_divide(X1,inverse(double_divide(inverse(X0),X2))),
inference(forward_demodulation,[],[f1586,f616]) ).
fof(f1633,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(X0,inverse(X2))) = inverse(double_divide(double_divide(X1,X2),X0)),
inference(forward_demodulation,[],[f1592,f772]) ).
fof(f1763,plain,
! [X2,X0,X1] : double_divide(inverse(inverse(double_divide(X1,inverse(X0)))),X2) = double_divide(X0,inverse(double_divide(inverse(X1),X2))),
inference(superposition,[],[f640,f28]) ).
fof(f1776,plain,
! [X2,X0,X1] : double_divide(inverse(X1),X2) = double_divide(X0,inverse(double_divide(double_divide(X1,X0),X2))),
inference(superposition,[],[f640,f533]) ).
fof(f1785,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X2),double_divide(X3,inverse(X1))) = double_divide(double_divide(X2,inverse(double_divide(X3,X0))),inverse(double_divide(X0,X1))),
inference(superposition,[],[f640,f549]) ).
fof(f1797,plain,
! [X2,X0,X1] : double_divide(double_divide(X1,X2),inverse(X0)) = double_divide(inverse(X1),double_divide(X2,X0)),
inference(superposition,[],[f640,f533]) ).
fof(f1877,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X2),double_divide(X3,inverse(X1))) = double_divide(inverse(X2),double_divide(inverse(double_divide(X3,X0)),double_divide(X0,X1))),
inference(forward_demodulation,[],[f1785,f1797]) ).
fof(f1896,plain,
! [X2,X0,X1] : double_divide(X0,double_divide(X1,inverse(X2))) = double_divide(inverse(inverse(double_divide(X1,inverse(X0)))),X2),
inference(forward_demodulation,[],[f1763,f772]) ).
fof(f1930,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X2),double_divide(X3,inverse(X1))) = inverse(double_divide(double_divide(double_divide(X3,X0),inverse(double_divide(X0,X1))),X2)),
inference(forward_demodulation,[],[f1877,f915]) ).
fof(f1947,plain,
! [X2,X0,X1] : double_divide(double_divide(X1,inverse(X0)),X2) = double_divide(X0,double_divide(X1,inverse(X2))),
inference(forward_demodulation,[],[f1896,f255]) ).
fof(f1978,plain,
! [X2,X3,X1] : double_divide(inverse(X2),double_divide(X3,inverse(X1))) = inverse(double_divide(double_divide(inverse(X3),X1),X2)),
inference(forward_demodulation,[],[f1930,f640]) ).
fof(f1991,plain,
! [X2,X0,X1] : double_divide(double_divide(X1,inverse(X0)),X2) = inverse(double_divide(double_divide(X0,X2),X1)),
inference(forward_demodulation,[],[f1947,f1633]) ).
fof(f2010,plain,
! [X2,X3,X1] : double_divide(double_divide(X2,X3),X1) = inverse(double_divide(double_divide(inverse(X3),X1),X2)),
inference(forward_demodulation,[],[f1978,f579]) ).
fof(f2161,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(X2,inverse(X1)),inverse(double_divide(X3,inverse(double_divide(X2,X0))))) = double_divide(inverse(double_divide(X0,X1)),X3),
inference(superposition,[],[f616,f549]) ).
fof(f2179,plain,
! [X2,X0,X1] : double_divide(inverse(X1),inverse(double_divide(X2,X0))) = double_divide(double_divide(inverse(X0),X1),X2),
inference(superposition,[],[f616,f525]) ).
fof(f2206,plain,
( inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(b3,inverse(double_divide(a3,c3))))
| a2 != inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2)))))
| inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1)))
| inverse(double_divide(b4,a4)) != inverse(double_divide(a4,b4)) ),
inference(superposition,[],[f5,f616]) ).
fof(f2273,plain,
( inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(b3,inverse(double_divide(a3,c3))))
| a2 != inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2)))))
| inverse(double_divide(b4,a4)) != inverse(double_divide(a4,b4)) ),
inference(forward_subsumption_resolution,[],[f2206,f198]) ).
fof(f2296,plain,
! [X2,X0,X1] : inverse(double_divide(double_divide(X2,X0),X1)) = double_divide(double_divide(inverse(X0),X1),X2),
inference(forward_demodulation,[],[f2179,f535]) ).
fof(f2310,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(X2,inverse(X1)),inverse(double_divide(X3,inverse(double_divide(X2,X0))))) = double_divide(X1,inverse(double_divide(X3,X0))),
inference(forward_demodulation,[],[f2161,f616]) ).
fof(f2342,plain,
( inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(b3,inverse(double_divide(a3,c3))))
| a2 != inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2))))) ),
inference(forward_subsumption_resolution,[],[f2273,f1213]) ).
fof(f2371,plain,
! [X2,X3,X0,X1] : double_divide(X1,inverse(double_divide(X3,X0))) = inverse(double_divide(double_divide(X1,inverse(double_divide(X3,inverse(double_divide(X2,X0))))),X2)),
inference(forward_demodulation,[],[f2310,f1991]) ).
fof(f2401,plain,
( inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != double_divide(inverse(b3),double_divide(a3,c3))
| a2 != inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2))))) ),
inference(forward_demodulation,[],[f2342,f525]) ).
fof(f2427,plain,
! [X2,X3,X0,X1] : double_divide(X1,inverse(double_divide(X3,X0))) = inverse(double_divide(X2,double_divide(X1,inverse(double_divide(X3,inverse(double_divide(X2,X0))))))),
inference(forward_demodulation,[],[f2371,f1213]) ).
fof(f2456,plain,
( double_divide(inverse(b3),double_divide(a3,c3)) != double_divide(inverse(c3),double_divide(b3,a3))
| a2 != inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2))))) ),
inference(forward_demodulation,[],[f2401,f525]) ).
fof(f2476,plain,
! [X2,X3,X0,X1] : double_divide(X1,inverse(double_divide(X3,X0))) = inverse(inverse(double_divide(double_divide(X2,double_divide(X3,inverse(double_divide(X2,X0)))),X1))),
inference(forward_demodulation,[],[f2427,f1633]) ).
fof(f2504,plain,
( double_divide(inverse(b3),double_divide(a3,c3)) != double_divide(inverse(c3),double_divide(a3,b3))
| a2 != inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2))))) ),
inference(forward_demodulation,[],[f2456,f358]) ).
fof(f2519,plain,
! [X2,X3,X0,X1] : double_divide(X1,inverse(double_divide(X3,X0))) = double_divide(double_divide(X2,double_divide(X3,inverse(double_divide(X2,X0)))),X1),
inference(forward_demodulation,[],[f2476,f255]) ).
fof(f2544,plain,
( a2 != double_divide(inverse(a2),double_divide(b2,inverse(b2)))
| double_divide(inverse(b3),double_divide(a3,c3)) != double_divide(inverse(c3),double_divide(a3,b3)) ),
inference(forward_demodulation,[],[f2504,f525]) ).
fof(f2554,plain,
! [X2,X3,X0,X1] : double_divide(X1,inverse(double_divide(X3,X0))) = double_divide(inverse(double_divide(double_divide(X2,double_divide(X2,X0)),X3)),X1),
inference(forward_demodulation,[],[f2519,f1633]) ).
fof(f2574,plain,
( a2 != double_divide(double_divide(a2,b2),b2)
| double_divide(inverse(b3),double_divide(a3,c3)) != double_divide(inverse(c3),double_divide(a3,b3)) ),
inference(forward_demodulation,[],[f2544,f579]) ).
fof(f2583,plain,
! [X2,X3,X0,X1] : double_divide(X1,inverse(double_divide(X3,X0))) = double_divide(X3,inverse(double_divide(X1,double_divide(X2,double_divide(X2,X0))))),
inference(forward_demodulation,[],[f2554,f616]) ).
fof(f2600,plain,
( a2 != double_divide(b2,double_divide(a2,b2))
| double_divide(inverse(b3),double_divide(a3,c3)) != double_divide(inverse(c3),double_divide(a3,b3)) ),
inference(forward_demodulation,[],[f2574,f358]) ).
fof(f2608,plain,
! [X3,X0,X1] : double_divide(X1,inverse(double_divide(X3,X0))) = double_divide(X3,inverse(double_divide(X1,X0))),
inference(forward_demodulation,[],[f2583,f533]) ).
fof(f2622,plain,
double_divide(inverse(b3),double_divide(a3,c3)) != double_divide(inverse(c3),double_divide(a3,b3)),
inference(forward_subsumption_resolution,[],[f2600,f471]) ).
fof(f2778,plain,
! [X2,X3,X0,X1,X4] : double_divide(inverse(double_divide(double_divide(inverse(double_divide(double_divide(X1,inverse(X0)),inverse(double_divide(X1,inverse(X2))))),X3),inverse(X2))),inverse(double_divide(X4,X3))) = double_divide(X4,inverse(X0)),
inference(superposition,[],[f2608,f7]) ).
fof(f2871,plain,
! [X2,X3,X0,X1] : double_divide(X3,double_divide(X0,X2)) = double_divide(inverse(double_divide(X1,X3)),double_divide(X0,inverse(double_divide(X1,X2)))),
inference(superposition,[],[f549,f2608]) ).
fof(f2886,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X3),inverse(double_divide(X0,X2))) = double_divide(double_divide(X3,X1),inverse(double_divide(X0,inverse(double_divide(X1,X2))))),
inference(superposition,[],[f640,f2608]) ).
fof(f2930,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X3),inverse(double_divide(X0,X2))) = double_divide(inverse(X3),double_divide(X1,double_divide(X0,inverse(double_divide(X1,X2))))),
inference(forward_demodulation,[],[f2886,f1797]) ).
fof(f2943,plain,
! [X2,X3,X0,X1] : double_divide(X3,double_divide(X0,X2)) = double_divide(X3,inverse(double_divide(double_divide(X0,inverse(double_divide(X1,X2))),X1))),
inference(forward_demodulation,[],[f2871,f616]) ).
fof(f3016,plain,
! [X2,X3,X0,X1,X4] : double_divide(X4,inverse(X0)) = double_divide(inverse(X2),inverse(double_divide(inverse(double_divide(X4,X3)),double_divide(inverse(double_divide(double_divide(X1,inverse(X0)),inverse(double_divide(X1,inverse(X2))))),X3)))),
inference(forward_demodulation,[],[f2778,f616]) ).
fof(f3064,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X3),inverse(double_divide(X0,X2))) = double_divide(inverse(X3),inverse(double_divide(double_divide(X1,double_divide(X1,X2)),X0))),
inference(forward_demodulation,[],[f2930,f1633]) ).
fof(f3075,plain,
! [X2,X3,X0,X1] : double_divide(X3,double_divide(X0,X2)) = double_divide(X3,inverse(double_divide(X1,double_divide(X0,inverse(double_divide(X1,X2)))))),
inference(forward_demodulation,[],[f2943,f1213]) ).
fof(f3137,plain,
! [X2,X3,X0,X1,X4] : double_divide(X4,inverse(X0)) = inverse(double_divide(double_divide(inverse(double_divide(X4,X3)),double_divide(inverse(double_divide(double_divide(X1,inverse(X0)),inverse(double_divide(X1,inverse(X2))))),X3)),X2)),
inference(forward_demodulation,[],[f3016,f535]) ).
fof(f3179,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X3),inverse(double_divide(X0,X2))) = inverse(double_divide(double_divide(double_divide(X1,double_divide(X1,X2)),X0),X3)),
inference(forward_demodulation,[],[f3064,f535]) ).
fof(f3189,plain,
! [X2,X3,X0,X1] : double_divide(X3,double_divide(X0,X2)) = double_divide(X3,inverse(inverse(double_divide(double_divide(X1,double_divide(X1,X2)),X0)))),
inference(forward_demodulation,[],[f3075,f1633]) ).
fof(f3247,plain,
! [X2,X3,X0,X1,X4] : double_divide(X4,inverse(X0)) = double_divide(double_divide(X2,double_divide(X4,X3)),double_divide(inverse(double_divide(double_divide(X1,inverse(X0)),inverse(double_divide(X1,inverse(X2))))),X3)),
inference(forward_demodulation,[],[f3137,f2010]) ).
fof(f3286,plain,
! [X2,X3,X0] : inverse(double_divide(double_divide(X2,X0),X3)) = double_divide(inverse(X3),inverse(double_divide(X0,X2))),
inference(forward_demodulation,[],[f3179,f533]) ).
fof(f3296,plain,
! [X2,X3,X0,X1] : double_divide(X3,double_divide(X0,X2)) = double_divide(X3,double_divide(double_divide(X1,double_divide(X1,X2)),X0)),
inference(forward_demodulation,[],[f3189,f255]) ).
fof(f3349,plain,
! [X2,X3,X0,X1,X4] : double_divide(X4,inverse(X0)) = double_divide(double_divide(X2,double_divide(X4,X3)),double_divide(inverse(double_divide(X1,inverse(X2))),inverse(double_divide(X3,double_divide(X1,inverse(X0)))))),
inference(forward_demodulation,[],[f3247,f616]) ).
fof(f3380,plain,
! [X2,X3,X0] : inverse(double_divide(double_divide(X2,X0),X3)) = inverse(double_divide(double_divide(X0,X2),X3)),
inference(forward_demodulation,[],[f3286,f535]) ).
fof(f3388,plain,
! [X2,X3,X0] : double_divide(X3,double_divide(X0,X2)) = double_divide(X3,double_divide(X2,X0)),
inference(forward_demodulation,[],[f3296,f533]) ).
fof(f3431,plain,
! [X2,X3,X0,X1,X4] : double_divide(X4,inverse(X0)) = inverse(double_divide(double_divide(double_divide(X2,double_divide(X4,X3)),double_divide(X3,double_divide(X1,inverse(X0)))),inverse(double_divide(X1,inverse(X2))))),
inference(forward_demodulation,[],[f3349,f1633]) ).
fof(f3499,plain,
! [X2,X3,X0,X1,X4] : double_divide(X4,inverse(X0)) = double_divide(inverse(double_divide(double_divide(X2,double_divide(X4,X3)),double_divide(X3,double_divide(X1,inverse(X0))))),double_divide(X1,inverse(X2))),
inference(forward_demodulation,[],[f3431,f525]) ).
fof(f3553,plain,
! [X2,X3,X0,X1,X4] : double_divide(X4,inverse(X0)) = double_divide(double_divide(X3,double_divide(X1,inverse(X0))),inverse(double_divide(double_divide(X1,inverse(X2)),double_divide(X2,double_divide(X4,X3))))),
inference(forward_demodulation,[],[f3499,f616]) ).
fof(f3599,plain,
! [X2,X3,X0,X1,X4] : double_divide(X4,inverse(X0)) = double_divide(inverse(X3),double_divide(double_divide(X1,inverse(X0)),double_divide(double_divide(X1,inverse(X2)),double_divide(X2,double_divide(X4,X3))))),
inference(forward_demodulation,[],[f3553,f1797]) ).
fof(f3642,plain,
! [X2,X3,X0,X1,X4] : double_divide(X4,inverse(X0)) = double_divide(inverse(X3),inverse(double_divide(double_divide(X0,double_divide(double_divide(X1,inverse(X2)),double_divide(X2,double_divide(X4,X3)))),X1))),
inference(forward_demodulation,[],[f3599,f1991]) ).
fof(f3679,plain,
! [X2,X3,X0,X1,X4] : double_divide(X4,inverse(X0)) = inverse(double_divide(double_divide(double_divide(X0,double_divide(double_divide(X1,inverse(X2)),double_divide(X2,double_divide(X4,X3)))),X1),X3)),
inference(forward_demodulation,[],[f3642,f535]) ).
fof(f3711,plain,
! [X2,X3,X0,X1,X4] : double_divide(X4,inverse(X0)) = inverse(double_divide(double_divide(X1,double_divide(X0,double_divide(double_divide(X1,inverse(X2)),double_divide(X2,double_divide(X4,X3))))),X3)),
inference(forward_demodulation,[],[f3679,f3380]) ).
fof(f3741,plain,
! [X2,X3,X0,X1,X4] : double_divide(X4,inverse(X0)) = inverse(double_divide(X3,double_divide(X1,double_divide(X0,double_divide(double_divide(X1,inverse(X2)),double_divide(X2,double_divide(X4,X3))))))),
inference(forward_demodulation,[],[f3711,f1213]) ).
fof(f3766,plain,
! [X2,X3,X0,X1,X4] : double_divide(X4,inverse(X0)) = inverse(double_divide(X3,double_divide(X1,double_divide(X0,inverse(double_divide(double_divide(X2,double_divide(X2,double_divide(X4,X3))),X1)))))),
inference(forward_demodulation,[],[f3741,f1991]) ).
fof(f3788,plain,
! [X2,X3,X0,X1,X4] : double_divide(X4,inverse(X0)) = inverse(double_divide(X3,inverse(double_divide(double_divide(X1,double_divide(double_divide(X2,double_divide(X2,double_divide(X4,X3))),X1)),X0)))),
inference(forward_demodulation,[],[f3766,f1633]) ).
fof(f3806,plain,
! [X2,X3,X0,X1,X4] : double_divide(X4,inverse(X0)) = double_divide(inverse(X3),double_divide(double_divide(X1,double_divide(double_divide(X2,double_divide(X2,double_divide(X4,X3))),X1)),X0)),
inference(forward_demodulation,[],[f3788,f525]) ).
fof(f3822,plain,
! [X2,X3,X0,X4] : double_divide(X4,inverse(X0)) = double_divide(inverse(X3),double_divide(double_divide(X2,double_divide(X2,double_divide(X4,X3))),X0)),
inference(forward_demodulation,[],[f3806,f471]) ).
fof(f3838,plain,
! [X3,X0,X4] : double_divide(X4,inverse(X0)) = double_divide(inverse(X3),double_divide(double_divide(X4,X3),X0)),
inference(forward_demodulation,[],[f3822,f533]) ).
fof(f3912,plain,
! [X2,X3,X0,X1] : double_divide(X3,double_divide(X0,inverse(double_divide(X1,X2)))) = double_divide(X3,double_divide(X1,inverse(double_divide(X2,X0)))),
inference(superposition,[],[f3388,f616]) ).
fof(f4026,plain,
! [X2,X3,X0,X1] : double_divide(X3,double_divide(X0,inverse(double_divide(X1,X2)))) = inverse(double_divide(double_divide(X3,double_divide(X2,X0)),X1)),
inference(forward_demodulation,[],[f3912,f1633]) ).
fof(f4079,plain,
! [X2,X3,X0,X1] : inverse(double_divide(double_divide(X3,double_divide(X2,X0)),X1)) = inverse(double_divide(double_divide(X3,double_divide(X1,X2)),X0)),
inference(forward_demodulation,[],[f4026,f1633]) ).
fof(f4395,plain,
! [X2,X3,X0,X1,X4] : double_divide(inverse(double_divide(double_divide(inverse(double_divide(double_divide(X1,inverse(X0)),inverse(double_divide(X1,inverse(X2))))),X3),inverse(X2))),inverse(X4)) = double_divide(inverse(X3),double_divide(X0,X4)),
inference(superposition,[],[f3838,f7]) ).
fof(f4400,plain,
! [X2,X3,X0,X1] : double_divide(inverse(double_divide(X2,X0)),inverse(X3)) = double_divide(inverse(X1),double_divide(double_divide(X0,inverse(double_divide(X1,X2))),X3)),
inference(superposition,[],[f3838,f616]) ).
fof(f4450,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X2),double_divide(double_divide(X0,X3),X1)) = double_divide(double_divide(X2,inverse(X3)),inverse(double_divide(X0,inverse(X1)))),
inference(superposition,[],[f640,f3838]) ).
fof(f4461,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X2),double_divide(double_divide(X0,X3),X1)) = inverse(double_divide(double_divide(X3,inverse(double_divide(X0,inverse(X1)))),X2)),
inference(forward_demodulation,[],[f4450,f1991]) ).
fof(f4493,plain,
! [X2,X3,X0,X1] : double_divide(inverse(double_divide(X2,X0)),inverse(X3)) = double_divide(inverse(X1),inverse(double_divide(double_divide(double_divide(X1,X2),X3),X0))),
inference(forward_demodulation,[],[f4400,f1991]) ).
fof(f4498,plain,
! [X2,X3,X0,X1,X4] : double_divide(inverse(X3),double_divide(X0,X4)) = double_divide(inverse(X2),inverse(double_divide(inverse(X4),double_divide(inverse(double_divide(double_divide(X1,inverse(X0)),inverse(double_divide(X1,inverse(X2))))),X3)))),
inference(forward_demodulation,[],[f4395,f616]) ).
fof(f4508,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X2),double_divide(double_divide(X0,X3),X1)) = inverse(inverse(double_divide(double_divide(double_divide(X0,inverse(X1)),X2),X3))),
inference(forward_demodulation,[],[f4461,f1991]) ).
fof(f4537,plain,
! [X2,X3,X0,X1] : double_divide(inverse(double_divide(X2,X0)),inverse(X3)) = inverse(double_divide(double_divide(double_divide(double_divide(X1,X2),X3),X0),X1)),
inference(forward_demodulation,[],[f4493,f535]) ).
fof(f4542,plain,
! [X2,X3,X0,X1,X4] : double_divide(inverse(X3),double_divide(X0,X4)) = inverse(double_divide(double_divide(inverse(X4),double_divide(inverse(double_divide(double_divide(X1,inverse(X0)),inverse(double_divide(X1,inverse(X2))))),X3)),X2)),
inference(forward_demodulation,[],[f4498,f535]) ).
fof(f4551,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X2),double_divide(double_divide(X0,X3),X1)) = double_divide(double_divide(double_divide(X0,inverse(X1)),X2),X3),
inference(forward_demodulation,[],[f4508,f255]) ).
fof(f4570,plain,
! [X2,X3,X0,X1] : double_divide(inverse(double_divide(X2,X0)),inverse(X3)) = inverse(double_divide(X1,double_divide(double_divide(double_divide(X1,X2),X3),X0))),
inference(forward_demodulation,[],[f4537,f1213]) ).
fof(f4575,plain,
! [X2,X3,X0,X1,X4] : double_divide(inverse(X3),double_divide(X0,X4)) = inverse(double_divide(double_divide(inverse(X4),double_divide(X3,X2)),inverse(double_divide(double_divide(X1,inverse(X0)),inverse(double_divide(X1,inverse(X2))))))),
inference(forward_demodulation,[],[f4542,f4079]) ).
fof(f4584,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X2),double_divide(double_divide(X0,X3),X1)) = double_divide(inverse(double_divide(double_divide(X1,X2),X0)),X3),
inference(forward_demodulation,[],[f4551,f1991]) ).
fof(f4603,plain,
! [X2,X3,X0,X1] : inverse(double_divide(X1,double_divide(double_divide(double_divide(X1,X2),X3),X0))) = double_divide(X0,inverse(double_divide(inverse(X3),X2))),
inference(forward_demodulation,[],[f4570,f616]) ).
fof(f4608,plain,
! [X2,X3,X0,X1,X4] : double_divide(inverse(X3),double_divide(X0,X4)) = double_divide(double_divide(inverse(double_divide(double_divide(X1,inverse(X0)),inverse(double_divide(X1,inverse(X2))))),X4),double_divide(X3,X2)),
inference(forward_demodulation,[],[f4575,f2010]) ).
fof(f4616,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X2),double_divide(double_divide(X0,X3),X1)) = double_divide(X0,inverse(double_divide(X3,double_divide(X1,X2)))),
inference(forward_demodulation,[],[f4584,f616]) ).
fof(f4632,plain,
! [X2,X3,X0,X1] : double_divide(X0,double_divide(X3,inverse(X2))) = inverse(double_divide(X1,double_divide(double_divide(double_divide(X1,X2),X3),X0))),
inference(forward_demodulation,[],[f4603,f772]) ).
fof(f4637,plain,
! [X2,X3,X0,X1,X4] : double_divide(inverse(X3),double_divide(X0,X4)) = inverse(double_divide(double_divide(double_divide(X3,X2),double_divide(double_divide(X1,inverse(X0)),inverse(double_divide(X1,inverse(X2))))),X4)),
inference(forward_demodulation,[],[f4608,f2296]) ).
fof(f4650,plain,
! [X2,X3,X0,X1] : inverse(double_divide(double_divide(X0,X2),X3)) = inverse(double_divide(X1,double_divide(double_divide(double_divide(X1,X2),X3),X0))),
inference(forward_demodulation,[],[f4632,f1633]) ).
fof(f4654,plain,
! [X2,X3,X0,X1,X4] : double_divide(inverse(X3),double_divide(X0,X4)) = inverse(double_divide(inverse(double_divide(double_divide(double_divide(X3,X2),double_divide(X1,inverse(X2))),double_divide(X1,inverse(X0)))),X4)),
inference(forward_demodulation,[],[f4637,f1633]) ).
fof(f4664,plain,
! [X2,X3,X0,X1,X4] : double_divide(inverse(X3),double_divide(X0,X4)) = double_divide(double_divide(double_divide(double_divide(X3,X2),double_divide(X1,inverse(X2))),double_divide(X1,inverse(X0))),inverse(X4)),
inference(forward_demodulation,[],[f4654,f772]) ).
fof(f4672,plain,
! [X2,X3,X0,X1,X4] : double_divide(inverse(X3),double_divide(X0,X4)) = double_divide(inverse(double_divide(double_divide(X3,X2),double_divide(X1,inverse(X2)))),double_divide(double_divide(X1,inverse(X0)),X4)),
inference(forward_demodulation,[],[f4664,f1797]) ).
fof(f4680,plain,
! [X2,X3,X0,X1,X4] : double_divide(inverse(X3),double_divide(X0,X4)) = double_divide(double_divide(X1,inverse(X2)),inverse(double_divide(double_divide(double_divide(X1,inverse(X0)),X4),double_divide(X3,X2)))),
inference(forward_demodulation,[],[f4672,f616]) ).
fof(f4687,plain,
! [X2,X3,X0,X1,X4] : double_divide(inverse(X3),double_divide(X0,X4)) = double_divide(inverse(X2),double_divide(double_divide(double_divide(X1,inverse(X2)),double_divide(double_divide(X1,inverse(X0)),X4)),X3)),
inference(forward_demodulation,[],[f4680,f4616]) ).
fof(f4692,plain,
! [X2,X3,X0,X1,X4] : double_divide(inverse(X3),double_divide(X0,X4)) = double_divide(inverse(X2),double_divide(inverse(double_divide(double_divide(X2,double_divide(double_divide(X1,inverse(X0)),X4)),X1)),X3)),
inference(forward_demodulation,[],[f4687,f1991]) ).
fof(f4696,plain,
! [X2,X3,X0,X1,X4] : double_divide(inverse(X3),double_divide(X0,X4)) = inverse(double_divide(double_divide(double_divide(double_divide(X2,double_divide(double_divide(X1,inverse(X0)),X4)),X1),inverse(X3)),X2)),
inference(forward_demodulation,[],[f4692,f915]) ).
fof(f4700,plain,
! [X2,X3,X0,X1,X4] : double_divide(inverse(X3),double_divide(X0,X4)) = inverse(double_divide(X2,double_divide(double_divide(double_divide(X2,double_divide(double_divide(X1,inverse(X0)),X4)),X1),inverse(X3)))),
inference(forward_demodulation,[],[f4696,f1213]) ).
fof(f4704,plain,
! [X3,X0,X1,X4] : double_divide(inverse(X3),double_divide(X0,X4)) = inverse(double_divide(double_divide(inverse(X3),double_divide(double_divide(X1,inverse(X0)),X4)),X1)),
inference(forward_demodulation,[],[f4700,f4650]) ).
fof(f4706,plain,
! [X3,X0,X1,X4] : double_divide(inverse(X3),double_divide(X0,X4)) = inverse(double_divide(double_divide(inverse(X3),double_divide(X4,X1)),double_divide(X1,inverse(X0)))),
inference(forward_demodulation,[],[f4704,f4079]) ).
fof(f4707,plain,
! [X3,X0,X1,X4] : double_divide(inverse(X3),double_divide(X0,X4)) = double_divide(double_divide(double_divide(X1,inverse(X0)),X3),double_divide(X4,X1)),
inference(forward_demodulation,[],[f4706,f2010]) ).
fof(f4708,plain,
! [X3,X0,X1,X4] : double_divide(inverse(X3),double_divide(X0,X4)) = double_divide(inverse(double_divide(double_divide(X0,X3),X1)),double_divide(X4,X1)),
inference(forward_demodulation,[],[f4707,f1991]) ).
fof(f4709,plain,
! [X3,X0,X1,X4] : double_divide(inverse(X3),double_divide(X0,X4)) = double_divide(X1,inverse(double_divide(double_divide(X4,X1),double_divide(X0,X3)))),
inference(forward_demodulation,[],[f4708,f616]) ).
fof(f4710,plain,
! [X3,X0,X4] : double_divide(inverse(X3),double_divide(X0,X4)) = double_divide(inverse(X4),double_divide(X0,X3)),
inference(forward_demodulation,[],[f4709,f1776]) ).
fof(f4834,plain,
double_divide(inverse(b3),double_divide(a3,c3)) != double_divide(inverse(b3),double_divide(a3,c3)),
inference(superposition,[],[f2622,f4710]) ).
fof(f4856,plain,
$false,
inference(trivial_inequality_removal,[],[f4834]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP105-1 : 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 : n001.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 09:25:15 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.65/2.11 % (3288670)Input is clausal, will run a generic CNF schedule.
% 8.65/2.11 % (3288679)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1735353203:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 8.65/2.11 % (3288679)Instruction limit reached!
% 8.65/2.11 % (3288679)------------------------------
% 8.65/2.11 % (3288679)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.65/2.11 % (3288679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.65/2.11 % (3288679)CaDiCaL version: 2.1.3
% 8.65/2.11 % (3288679)Termination reason: Instruction limit
% 8.65/2.11 % (3288679)Termination phase: Saturation
% 8.65/2.11 % (3288679)Time elapsed: 0.040 s
% 8.65/2.11 % (3288679)Peak memory usage: 90 MB
% 8.65/2.11 % (3288679)Instructions burned: 114 (million)
% 8.65/2.11 % (3288675)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=3890120381:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 8.65/2.11 % (3288677)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4093473591:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 8.65/2.11 % (3288676)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2244900838:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 8.65/2.11 % (3288678)lrs+10_1_sil=8000:sp=occurrence:random_seed=4265406337:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 8.65/2.11 % (3288681)dis-21_1_sil=8000:lcm=predicate:random_seed=499047838:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 8.65/2.11 % (3288681)Refutation not found, incomplete strategy
% 8.65/2.11 % (3288681)------------------------------
% 8.65/2.11 % (3288681)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.65/2.11 % (3288681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.65/2.11 % (3288681)CaDiCaL version: 2.1.3
% 8.65/2.11 % (3288681)Termination reason: Refutation not found, incomplete strategy
% 8.65/2.11 % (3288681)Time elapsed: 0.001 s
% 8.65/2.11 % (3288681)Peak memory usage: 88 MB
% 8.65/2.11 % (3288680)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4213481492:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 8.65/2.11 % (3288678)Instruction limit reached!
% 8.65/2.11 % (3288678)------------------------------
% 8.65/2.11 % (3288678)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.65/2.11 % (3288678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.65/2.11 % (3288678)CaDiCaL version: 2.1.3
% 8.65/2.11 % (3288678)Termination reason: Instruction limit
% 8.65/2.11 % (3288678)Termination phase: Saturation
% 8.65/2.11 % (3288678)Time elapsed: 0.059 s
% 8.65/2.11 % (3288678)Peak memory usage: 89 MB
% 8.65/2.11 % (3288678)Instructions burned: 107 (million)
% 8.65/2.11 % (3288680)Instruction limit reached!
% 8.65/2.11 % (3288680)------------------------------
% 8.65/2.11 % (3288680)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.65/2.11 % (3288680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.65/2.11 % (3288680)CaDiCaL version: 2.1.3
% 8.65/2.11 % (3288680)Termination reason: Instruction limit
% 8.65/2.11 % (3288680)Termination phase: Saturation
% 8.65/2.11 % (3288680)Time elapsed: 0.106 s
% 8.65/2.11 % (3288680)Peak memory usage: 90 MB
% 8.65/2.11 % (3288680)Instructions burned: 180 (million)
% 8.65/2.11 % (3288683)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=1394917236:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 8.65/2.11 % (3288683)Refutation not found, incomplete strategy
% 8.65/2.11 % (3288683)------------------------------
% 8.65/2.11 % (3288683)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.65/2.11 % (3288683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.65/2.11 % (3288683)CaDiCaL version: 2.1.3
% 8.65/2.11 % (3288683)Termination reason: Refutation not found, incomplete strategy
% 8.65/2.11 % (3288683)Time elapsed: 0.001 s
% 8.65/2.11 % (3288683)Peak memory usage: 88 MB
% 8.65/2.11 % (3288681)------------------------------
% 8.65/2.11 % (3288681)------------------------------
% 8.65/2.11 % (3288690)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2782507109:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 8.65/2.11 % (3288690)Refutation not found, incomplete strategy
% 8.65/2.11 % (3288690)------------------------------
% 8.65/2.11 % (3288690)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.65/2.11 % (3288690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.65/2.11 % (3288690)CaDiCaL version: 2.1.3
% 8.65/2.11 % (3288690)Termination reason: Refutation not found, incomplete strategy
% 8.65/2.11 % (3288690)Time elapsed: 0.001 s
% 8.65/2.11 % (3288690)Peak memory usage: 88 MB
% 8.65/2.11 % (3288691)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3776864998:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 8.65/2.11 % (3288691)Refutation not found, incomplete strategy
% 8.65/2.11 % (3288691)------------------------------
% 8.65/2.11 % (3288691)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.65/2.11 % (3288691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.65/2.11 % (3288691)CaDiCaL version: 2.1.3
% 8.65/2.11 % (3288691)Termination reason: Refutation not found, incomplete strategy
% 8.65/2.11 % (3288691)Time elapsed: 0.001 s
% 8.65/2.11 % (3288691)Peak memory usage: 88 MB
% 8.65/2.11 % (3288693)lrs+10_64_to=lpo:sil=8000:random_seed=680586105:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 8.65/2.11 % (3288693)Instruction limit reached!
% 8.65/2.11 % (3288693)------------------------------
% 8.65/2.11 % (3288693)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.65/2.11 % (3288693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.65/2.11 % (3288693)CaDiCaL version: 2.1.3
% 8.65/2.11 % (3288693)Termination reason: Instruction limit
% 8.65/2.11 % (3288693)Termination phase: Saturation
% 8.65/2.11 % (3288693)Time elapsed: 0.040 s
% 8.65/2.11 % (3288693)Peak memory usage: 89 MB
% 8.65/2.11 % (3288693)Instructions burned: 127 (million)
% 8.65/2.11 % (3288697)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=193120163:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 8.65/2.11 % (3288683)------------------------------
% 8.65/2.11 % (3288683)------------------------------
% 8.65/2.11 % (3288697)Instruction limit reached!
% 8.65/2.11 % (3288697)------------------------------
% 8.65/2.11 % (3288697)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.65/2.11 % (3288697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.65/2.11 % (3288697)CaDiCaL version: 2.1.3
% 8.65/2.11 % (3288697)Termination reason: Instruction limit
% 8.65/2.11 % (3288697)Termination phase: Saturation
% 8.65/2.11 % (3288697)Time elapsed: 0.062 s
% 8.65/2.11 % (3288697)Peak memory usage: 90 MB
% 8.65/2.11 % (3288697)Instructions burned: 195 (million)
% 8.65/2.11 % (3288690)------------------------------
% 8.65/2.11 % (3288690)------------------------------
% 8.65/2.11 % (3288691)------------------------------
% 8.65/2.11 % (3288691)------------------------------
% 8.65/2.11 % (3288700)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=4253245588:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 8.65/2.11 % (3288699)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2399617927:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 8.65/2.11 % (3288701)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=2960479309:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 8.65/2.11 % (3288699)Instruction limit reached!
% 8.65/2.11 % (3288699)------------------------------
% 8.65/2.11 % (3288699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.65/2.11 % (3288699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.65/2.11 % (3288699)CaDiCaL version: 2.1.3
% 8.65/2.11 % (3288699)Termination reason: Instruction limit
% 8.65/2.11 % (3288699)Termination phase: Saturation
% 8.65/2.11 % (3288699)Time elapsed: 0.093 s
% 8.65/2.11 % (3288699)Peak memory usage: 93 MB
% 8.65/2.11 % (3288699)Instructions burned: 159 (million)
% 8.65/2.11 % (3288702)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2964950510:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 8.65/2.11 % (3288702)Refutation not found, incomplete strategy
% 8.65/2.11 % (3288702)------------------------------
% 8.65/2.11 % (3288702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.65/2.11 % (3288702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.65/2.11 % (3288702)CaDiCaL version: 2.1.3
% 8.65/2.11 % (3288702)Termination reason: Refutation not found, incomplete strategy
% 8.65/2.11 % (3288702)Time elapsed: 0.001 s
% 8.65/2.11 % (3288702)Peak memory usage: 88 MB
% 8.65/2.11 % (3288701)Instruction limit reached!
% 8.65/2.11 % (3288701)------------------------------
% 8.65/2.11 % (3288701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.65/2.11 % (3288701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.65/2.11 % (3288701)CaDiCaL version: 2.1.3
% 8.65/2.11 % (3288701)Termination reason: Instruction limit
% 8.65/2.11 % (3288701)Termination phase: Saturation
% 8.65/2.11 % (3288701)Time elapsed: 0.064 s
% 8.65/2.11 % (3288701)Peak memory usage: 89 MB
% 8.65/2.11 % (3288701)Instructions burned: 107 (million)
% 8.65/2.11 % (3288707)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=407575462:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 8.65/2.11 % (3288708)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1423417787:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 8.65/2.11 % (3288676)First to succeed.
% 8.65/2.11 % (3288676)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3288670"
% 8.65/2.11 % (3288702)------------------------------
% 8.65/2.11 % (3288702)------------------------------
% 8.65/2.11 % (3288707)Instruction limit reached!
% 8.65/2.11 % (3288707)------------------------------
% 8.65/2.11 % (3288707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.65/2.11 % (3288707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.65/2.11 % (3288707)CaDiCaL version: 2.1.3
% 8.65/2.11 % (3288707)Termination reason: Instruction limit
% 8.65/2.11 % (3288707)Termination phase: Saturation
% 8.65/2.11 % (3288707)Time elapsed: 0.141 s
% 8.65/2.11 % (3288707)Peak memory usage: 92 MB
% 8.65/2.11 % (3288707)Instructions burned: 243 (million)
% 8.65/2.11 % (3288677)Also succeeded, but the first one will report.
% 8.65/2.11 % (3288711)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3867998327:i=134:sd=2:doe=on:ss=axioms:sgt=14_2989 on theBenchmark for (2989ds/134Mi)
% 8.65/2.11 % (3288712)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3881049863:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 8.65/2.11 % (3288700)Also succeeded, but the first one will report.
% 8.65/2.11 % (3288711)Instruction limit reached!
% 8.65/2.11 % (3288711)------------------------------
% 8.65/2.11 % (3288711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.65/2.11 % (3288711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.65/2.11 % (3288711)CaDiCaL version: 2.1.3
% 8.65/2.11 % (3288711)Termination reason: Instruction limit
% 8.65/2.11 % (3288711)Termination phase: Saturation
% 8.65/2.11 % (3288711)Time elapsed: 0.082 s
% 8.65/2.11 % (3288711)Peak memory usage: 90 MB
% 8.65/2.11 % (3288711)Instructions burned: 135 (million)
% 8.65/2.11 % (3288676)Refutation found. Thanks to Tanya!
% 8.65/2.11 % SZS status Unsatisfiable for theBenchmark
% 8.65/2.11 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/2.30 % (3288676)------------------------------
% 0.18/2.30 % (3288676)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/2.30 % (3288676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/2.30 % (3288676)CaDiCaL version: 2.1.3
% 0.18/2.30 % (3288676)Termination reason: Refutation
% 0.18/2.30 % (3288676)Time elapsed: 0.838 s
% 0.18/2.30 % (3288676)Peak memory usage: 130 MB
% 0.18/2.30 % (3288676)Instructions burned: 1277 (million)
% 0.18/2.30 % (3288676)------------------------------
% 0.18/2.30 % (3288676)------------------------------
% 0.18/2.30 % (3288670)Success in time 1.248 s
% 0.18/2.30 % Vampire exiting
%------------------------------------------------------------------------------