%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT076-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 11:45:57 AM UTC 2026
% Result : Unsatisfiable 30.07s 5.64s
% Output : Refutation 34.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 8
% Syntax : Number of formulae : 121 ( 121 unt; 6 def)
% Number of atoms : 121 ( 120 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 15 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-2 aty)
% Number of variables : 189 ( 189 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : f(f(f(f(X0,X1),f(X2,X1)),X3),f(X1,f(f(f(f(f(f(X0,X0),X1),X2),X2),X1),X0))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mol_27B1) ).
fof(f2,negated_conjecture,
f(a,f(f(b,c),f(b,c))) != f(c,f(f(b,a),f(b,a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f3,definition,
sF0 = f(b,c),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f4,plain,
f(b,c) = sF0,
inference(reorient_equations,[],[f3]) ).
fof(f5,definition,
sF1 = f(sF0,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f6,plain,
f(sF0,sF0) = sF1,
inference(reorient_equations,[],[f5]) ).
fof(f7,definition,
sF2 = f(a,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f8,plain,
f(a,sF1) = sF2,
inference(reorient_equations,[],[f7]) ).
fof(f9,definition,
sF3 = f(b,a),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f10,plain,
f(b,a) = sF3,
inference(reorient_equations,[],[f9]) ).
fof(f11,definition,
sF4 = f(sF3,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f12,plain,
f(sF3,sF3) = sF4,
inference(reorient_equations,[],[f11]) ).
fof(f13,definition,
sF5 = f(c,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f14,plain,
f(c,sF4) = sF5,
inference(reorient_equations,[],[f13]) ).
fof(f15,plain,
sF2 != sF5,
inference(definition_folding,[],[f2,f14,f12,f10,f10,f8,f6,f4,f4]) ).
fof(f18,plain,
! [X2,X3,X0,X1] : f(f(f(f(f(f(X1,X1),X0),X2),X2),X0),X1) = f(f(X0,X3),f(f(f(f(f(f(f(X1,X1),X0),X2),X2),X0),X1),f(f(f(f(f(f(f(f(X1,X0),f(X2,X0)),f(f(X1,X0),f(X2,X0))),f(f(f(f(f(f(X1,X1),X0),X2),X2),X0),X1)),X0),X0),f(f(f(f(f(f(X1,X1),X0),X2),X2),X0),X1)),f(f(X1,X0),f(X2,X0))))),
inference(superposition,[],[f1,f1]) ).
fof(f19,plain,
! [X2,X3,X0,X1] : f(X2,X0) = f(X0,f(f(X2,X0),f(f(f(f(f(f(f(X1,X0),f(X1,X0)),f(X2,X0)),X3),X3),f(X2,X0)),f(X1,X0)))),
inference(superposition,[],[f1,f1]) ).
fof(f21,plain,
! [X2,X3,X0,X1] : f(f(f(f(f(X1,X0),X2),f(f(X0,f(f(f(f(f(f(X1,X1),X0),X1),X1),X0),X1)),X2)),X3),f(X2,f(f(f(X0,f(X0,f(f(f(f(f(f(X1,X1),X0),X1),X1),X0),X1))),X2),f(X1,X0)))) = X2,
inference(superposition,[],[f1,f1]) ).
fof(f29,plain,
! [X2,X0,X1] : f(f(f(f(sF0,X0),f(X1,X0)),X2),f(X0,f(f(f(f(f(sF1,X0),X1),X1),X0),sF0))) = X0,
inference(superposition,[],[f1,f6]) ).
fof(f59,plain,
! [X2,X3,X0,X1] : f(f(X0,f(f(X1,X2),f(X3,X2))),f(X2,f(f(f(f(f(f(X1,X1),X2),X3),X3),X2),X1))) = X2,
inference(superposition,[],[f1,f19]) ).
fof(f101,plain,
! [X2,X3,X0,X1,X4] : f(X0,f(f(f(f(f(f(X2,X2),X0),X3),X3),X0),X2)) = f(f(f(f(f(X1,f(f(X2,X0),f(X3,X0))),f(X0,f(f(f(f(f(f(X2,X2),X0),X3),X3),X0),X2))),f(f(f(f(X2,X0),f(X3,X0)),f(f(f(f(f(f(X1,X1),f(f(X2,X0),f(X3,X0))),X1),X1),f(f(X2,X0),f(X3,X0))),X1)),f(X0,f(f(f(f(f(f(X2,X2),X0),X3),X3),X0),X2)))),X4),f(f(X0,f(f(f(f(f(f(X2,X2),X0),X3),X3),X0),X2)),f(X0,f(X1,f(f(X2,X0),f(X3,X0)))))),
inference(superposition,[],[f21,f1]) ).
fof(f126,plain,
! [X2,X3,X0,X1,X4] : f(X0,f(f(f(f(f(f(X2,X2),X0),X3),X3),X0),X2)) = f(f(f(f(f(X1,f(f(X2,X0),f(X3,X0))),f(X0,f(f(f(f(f(f(X2,X2),X0),X3),X3),X0),X2))),X0),X4),f(f(X0,f(f(f(f(f(f(X2,X2),X0),X3),X3),X0),X2)),f(X0,f(X1,f(f(X2,X0),f(X3,X0)))))),
inference(forward_demodulation,[],[f101,f1]) ).
fof(f134,plain,
! [X2,X3,X0,X1,X4] : f(X0,f(f(f(f(f(f(X2,X2),X0),X3),X3),X0),X2)) = f(f(f(X0,X0),X4),f(f(X0,f(f(f(f(f(f(X2,X2),X0),X3),X3),X0),X2)),f(X0,f(X1,f(f(X2,X0),f(X3,X0)))))),
inference(forward_demodulation,[],[f126,f59]) ).
fof(f197,plain,
! [X2,X3,X0,X1] : f(f(X0,f(f(f(f(f(f(X1,X1),X0),X2),X2),X0),X1)),f(X0,f(f(f(f(f(f(X0,X0),X0),X3),X3),X0),X0))) = X0,
inference(superposition,[],[f1,f134]) ).
fof(f358,plain,
! [X2,X3,X0,X1,X4] : f(f(X1,X0),f(X2,X0)) = f(f(f(f(f(X0,f(f(f(f(f(f(X1,X1),X0),X2),X2),X0),X1)),f(f(X1,X0),f(X2,X0))),f(X3,f(f(X1,X0),f(X2,X0)))),X4),f(f(f(X1,X0),f(X2,X0)),X0)),
inference(superposition,[],[f1,f59]) ).
fof(f379,plain,
! [X2,X3,X0,X1] : f(X2,X0) = f(X0,f(f(X2,X0),f(f(f(f(f(f(X1,X1),f(X2,X0)),f(X3,X0)),f(X3,X0)),f(X2,X0)),X1))),
inference(superposition,[],[f1,f59]) ).
fof(f438,plain,
! [X2,X0,X1] : f(f(X1,X0),f(X2,X0)) = f(f(X2,X0),f(f(f(X1,X0),f(X2,X0)),X0)),
inference(superposition,[],[f379,f59]) ).
fof(f502,plain,
! [X2,X0,X1] : f(f(X0,f(f(f(f(f(f(X1,X1),X0),X2),X2),X0),X1)),f(X0,f(f(f(f(f(f(X1,X1),X0),X2),X2),X0),X1))) = X0,
inference(superposition,[],[f438,f1]) ).
fof(f533,plain,
! [X2,X0,X1] : f(X1,X0) = f(f(f(f(X0,f(X1,X0)),f(X0,f(X1,X0))),X2),f(f(f(f(f(X0,X0),f(X1,X0)),X0),X0),f(X1,X0))),
inference(superposition,[],[f1,f438]) ).
fof(f749,plain,
! [X0,X1] : f(f(X0,f(f(f(f(f(sF1,X0),X1),X1),X0),sF0)),f(X0,f(f(f(f(f(sF1,X0),X1),X1),X0),sF0))) = X0,
inference(superposition,[],[f438,f29]) ).
fof(f1254,plain,
! [X0,X1] : f(X0,X1) = f(f(f(f(f(f(X1,X1),f(X0,X1)),X1),X1),f(X0,X1)),f(f(X0,X1),f(X0,X1))),
inference(superposition,[],[f438,f533]) ).
fof(f1365,plain,
! [X0,X1] : f(X0,X1) = f(f(f(X0,X1),f(X0,X1)),f(f(X0,X1),f(X0,X1))),
inference(superposition,[],[f438,f1254]) ).
fof(f1434,plain,
! [X0] : f(f(X0,X0),f(X0,X0)) = X0,
inference(superposition,[],[f1365,f197]) ).
fof(f1438,plain,
sF3 = f(f(sF3,sF3),f(sF3,sF3)),
inference(superposition,[],[f1365,f10]) ).
fof(f1439,plain,
sF0 = f(f(sF0,sF0),f(sF0,sF0)),
inference(superposition,[],[f1365,f4]) ).
fof(f1443,plain,
! [X0,X1] : f(X0,X0) = f(X0,f(f(f(f(f(f(X0,X0),X0),X1),X1),X0),X0)),
inference(superposition,[],[f1365,f197]) ).
fof(f1528,plain,
sF0 = f(sF1,sF1),
inference(forward_demodulation,[],[f1439,f6]) ).
fof(f1529,plain,
sF3 = f(sF4,sF4),
inference(forward_demodulation,[],[f1438,f12]) ).
fof(f1533,plain,
! [X0,X1] : f(f(X0,X1),f(X0,f(f(f(f(f(f(X0,X0),X0),X0),X0),X0),X0))) = X0,
inference(superposition,[],[f1,f1434]) ).
fof(f1536,plain,
! [X0,X1] : f(f(X1,X0),f(X0,f(f(f(f(f(f(X0,X0),X0),X0),X0),X0),X0))) = X0,
inference(superposition,[],[f59,f1434]) ).
fof(f1627,plain,
! [X0,X1] : f(f(X1,X0),f(X0,X0)) = X0,
inference(forward_demodulation,[],[f1536,f1443]) ).
fof(f1630,plain,
! [X0,X1] : f(f(X0,X1),f(X0,X0)) = X0,
inference(forward_demodulation,[],[f1533,f1443]) ).
fof(f1651,plain,
! [X0,X1] : f(X0,X1) = f(X0,f(f(X0,X1),f(X0,X1))),
inference(superposition,[],[f1630,f1630]) ).
fof(f1652,plain,
a = f(sF2,f(a,a)),
inference(superposition,[],[f1630,f8]) ).
fof(f1653,plain,
b = f(sF3,f(b,b)),
inference(superposition,[],[f1630,f10]) ).
fof(f1654,plain,
b = f(sF0,f(b,b)),
inference(superposition,[],[f1630,f4]) ).
fof(f1655,plain,
c = f(sF5,f(c,c)),
inference(superposition,[],[f1630,f14]) ).
fof(f1661,plain,
! [X0,X1] : f(X0,X0) = f(f(f(X0,X0),X1),X0),
inference(superposition,[],[f1630,f1630]) ).
fof(f1827,plain,
! [X2,X0,X1] : f(f(f(X1,X0),f(X2,X0)),f(f(X1,X0),f(X2,X0))) = f(X0,f(f(X1,X0),f(X2,X0))),
inference(superposition,[],[f1661,f59]) ).
fof(f1831,plain,
! [X0,X1] : f(X1,X1) = f(f(X0,f(X1,X1)),X1),
inference(superposition,[],[f1661,f379]) ).
fof(f1841,plain,
! [X0,X1] : f(f(X0,X0),f(X1,X0)) = f(f(X1,X0),f(X0,X0)),
inference(superposition,[],[f438,f1661]) ).
fof(f1949,plain,
! [X0,X1] : f(f(X0,X0),f(X1,X0)) = X0,
inference(forward_demodulation,[],[f1841,f1627]) ).
fof(f2178,plain,
a = f(sF3,f(a,a)),
inference(superposition,[],[f1627,f10]) ).
fof(f2179,plain,
c = f(sF0,f(c,c)),
inference(superposition,[],[f1627,f4]) ).
fof(f2210,plain,
! [X2,X3,X0,X1] : f(f(X0,X1),f(X2,X1)) = f(f(f(f(X0,X1),f(X2,X1)),X3),f(f(f(X0,X1),f(X2,X1)),X1)),
inference(superposition,[],[f358,f1627]) ).
fof(f2298,plain,
! [X0,X1] : f(X1,X0) = f(X0,f(f(X1,X0),f(X1,X0))),
inference(superposition,[],[f1630,f1627]) ).
fof(f2382,plain,
! [X0,X1] : f(X0,f(f(f(f(f(sF1,X0),X1),X1),X0),sF0)) = f(f(f(X0,f(f(f(f(f(sF1,X0),X1),X1),X0),sF0)),f(X0,f(f(f(f(f(sF1,X0),X1),X1),X0),sF0))),X0),
inference(superposition,[],[f1949,f29]) ).
fof(f2388,plain,
! [X2,X0,X1] : f(X0,f(f(f(f(f(f(X1,X1),X0),X2),X2),X0),X1)) = f(f(f(X0,f(f(f(f(f(f(X1,X1),X0),X2),X2),X0),X1)),f(X0,f(f(f(f(f(f(X1,X1),X0),X2),X2),X0),X1))),X0),
inference(superposition,[],[f1949,f59]) ).
fof(f2392,plain,
! [X2,X0,X1] : f(f(f(X0,X1),f(X2,X1)),X1) = f(f(f(f(f(X0,X1),f(X2,X1)),X1),f(f(f(X0,X1),f(X2,X1)),X1)),f(f(X0,X1),f(X2,X1))),
inference(superposition,[],[f1949,f358]) ).
fof(f2540,plain,
! [X2,X0,X1] : f(f(f(X0,X1),f(X2,X1)),f(f(X0,X1),f(X2,X1))) = f(f(f(X0,X1),f(X2,X1)),X1),
inference(forward_demodulation,[],[f2392,f2210]) ).
fof(f2543,plain,
! [X2,X0,X1] : f(X0,X0) = f(X0,f(f(f(f(f(f(X1,X1),X0),X2),X2),X0),X1)),
inference(forward_demodulation,[],[f2388,f502]) ).
fof(f2547,plain,
! [X0,X1] : f(X0,X0) = f(X0,f(f(f(f(f(sF1,X0),X1),X1),X0),sF0)),
inference(forward_demodulation,[],[f2382,f749]) ).
fof(f2561,plain,
! [X2,X0,X1] : f(X1,f(f(X0,X1),f(X2,X1))) = f(f(f(X0,X1),f(X2,X1)),X1),
inference(forward_demodulation,[],[f2540,f1827]) ).
fof(f2971,plain,
! [X2,X3,X0,X1] : f(f(X1,f(f(X2,X0),f(X3,X0))),f(X0,X0)) = X0,
inference(superposition,[],[f1651,f59]) ).
fof(f3910,plain,
sF2 = f(sF1,f(sF2,sF2)),
inference(superposition,[],[f2298,f8]) ).
fof(f3915,plain,
sF5 = f(sF4,f(sF5,sF5)),
inference(superposition,[],[f2298,f14]) ).
fof(f4323,plain,
! [X0,X1] : f(X1,X1) = f(X1,f(f(f(f(X0,X0),X1),X1),X0)),
inference(superposition,[],[f2543,f1630]) ).
fof(f4326,plain,
! [X0,X1] : f(f(X0,X0),f(X0,X0)) = f(f(X0,X0),f(X0,X1)),
inference(superposition,[],[f2543,f1627]) ).
fof(f4327,plain,
! [X0,X1] : f(X0,X0) = f(X0,f(f(X0,X0),X1)),
inference(superposition,[],[f2543,f1831]) ).
fof(f4517,plain,
! [X0,X1] : f(f(X0,X0),f(X0,X1)) = X0,
inference(forward_demodulation,[],[f4326,f1627]) ).
fof(f5176,plain,
! [X2,X0,X1] : f(f(f(f(f(X1,X0),f(X1,X0)),X0),X0),f(X1,X0)) = f(f(f(f(f(X0,f(f(f(f(f(f(f(f(f(X1,X0),f(X1,X0)),X0),f(f(f(X1,X0),f(X1,X0)),X0)),X0),X1),X1),X0),f(f(f(X1,X0),f(X1,X0)),X0))),f(f(f(f(f(X1,X0),f(X1,X0)),X0),X0),f(X1,X0))),f(X0,X0)),X2),f(f(f(f(f(f(X1,X0),f(X1,X0)),X0),X0),f(X1,X0)),X0)),
inference(superposition,[],[f358,f4323]) ).
fof(f5351,plain,
! [X2,X0,X1] : f(f(f(f(f(X1,X0),f(X1,X0)),X0),X0),f(X1,X0)) = f(f(f(f(f(X0,f(f(f(f(f(f(f(f(f(X1,X0),f(X1,X0)),X0),f(f(f(X1,X0),f(X1,X0)),X0)),X0),X1),X1),X0),f(f(f(X1,X0),f(X1,X0)),X0))),f(f(f(f(f(X1,X0),f(X1,X0)),X0),X0),f(X1,X0))),f(X0,X0)),X2),f(X0,f(f(f(f(f(X1,X0),f(X1,X0)),X0),X0),f(X1,X0)))),
inference(forward_demodulation,[],[f5176,f2561]) ).
fof(f5425,plain,
! [X2,X0,X1] : f(f(f(f(f(X1,X0),f(X1,X0)),X0),X0),f(X1,X0)) = f(f(f(f(f(X0,f(f(f(f(f(f(f(f(f(X1,X0),f(X1,X0)),X0),f(f(f(X1,X0),f(X1,X0)),X0)),X0),X1),X1),X0),f(f(f(X1,X0),f(X1,X0)),X0))),f(f(f(f(f(X1,X0),f(X1,X0)),X0),X0),f(X1,X0))),f(X0,X0)),X2),f(X0,X0)),
inference(forward_demodulation,[],[f5351,f4323]) ).
fof(f5466,plain,
! [X2,X0,X1] : f(f(X0,X2),f(X0,X0)) = f(f(f(f(f(X1,X0),f(X1,X0)),X0),X0),f(X1,X0)),
inference(forward_demodulation,[],[f5425,f2971]) ).
fof(f5478,plain,
! [X2,X0,X1] : f(f(X0,X2),f(X0,X0)) = f(f(f(X0,f(f(X1,X0),f(X1,X0))),X0),f(X1,X0)),
inference(forward_demodulation,[],[f5466,f2561]) ).
fof(f5483,plain,
! [X2,X0,X1] : f(f(X0,X2),f(X0,X0)) = f(f(f(X1,X0),X0),f(X1,X0)),
inference(forward_demodulation,[],[f5478,f2298]) ).
fof(f5485,plain,
! [X0,X1] : f(f(f(X1,X0),X0),f(X1,X0)) = X0,
inference(forward_demodulation,[],[f5483,f1630]) ).
fof(f5523,plain,
! [X0,X1] : f(X0,X1) = f(f(X0,f(X0,X1)),X0),
inference(superposition,[],[f5485,f4517]) ).
fof(f5902,plain,
! [X2,X3,X0,X1] : f(f(f(f(X2,X0),f(X0,X1)),X3),f(X0,f(f(f(f(f(f(X2,X2),X0),f(X0,f(X0,X1))),f(X0,f(X0,X1))),X0),X2))) = X0,
inference(superposition,[],[f1,f5523]) ).
fof(f5972,plain,
! [X2,X3,X0,X1] : f(f(f(f(X2,X0),f(X0,X1)),X3),f(X0,X0)) = X0,
inference(forward_demodulation,[],[f5902,f2543]) ).
fof(f7821,plain,
! [X2,X3,X0,X1,X4] : f(X0,X1) = f(f(f(X0,X0),X4),f(f(X0,X1),f(f(f(f(f(f(f(f(X1,f(X0,X0)),f(f(f(X2,X0),f(X3,X0)),f(X0,X0))),f(f(X1,f(X0,X0)),f(f(f(X2,X0),f(X3,X0)),f(X0,X0)))),f(X0,X1)),f(X0,X0)),f(X0,X0)),f(X0,X1)),f(f(X1,f(X0,X0)),f(f(f(X2,X0),f(X3,X0)),f(X0,X0)))))),
inference(superposition,[],[f18,f2971]) ).
fof(f7931,plain,
! [X0,X1,X4] : f(X0,X1) = f(f(f(X0,X0),X4),f(f(X0,X1),f(X0,X1))),
inference(forward_demodulation,[],[f7821,f2543]) ).
fof(f17951,plain,
! [X0] : sF2 = f(f(f(sF1,sF1),X0),f(sF2,sF2)),
inference(superposition,[],[f7931,f3910]) ).
fof(f17952,plain,
! [X0] : sF2 = f(f(sF0,X0),f(sF2,sF2)),
inference(forward_demodulation,[],[f17951,f1528]) ).
fof(f17985,plain,
sF2 = f(b,f(sF2,sF2)),
inference(superposition,[],[f17952,f1654]) ).
fof(f17986,plain,
sF2 = f(c,f(sF2,sF2)),
inference(superposition,[],[f17952,f2179]) ).
fof(f18198,plain,
b = f(f(b,b),sF2),
inference(superposition,[],[f4517,f17985]) ).
fof(f18277,plain,
c = f(f(c,c),sF2),
inference(superposition,[],[f4517,f17986]) ).
fof(f18988,plain,
! [X0] : sF5 = f(f(f(sF4,sF4),X0),f(sF5,sF5)),
inference(superposition,[],[f7931,f3915]) ).
fof(f18989,plain,
! [X0] : sF5 = f(f(sF3,X0),f(sF5,sF5)),
inference(forward_demodulation,[],[f18988,f1529]) ).
fof(f19022,plain,
sF5 = f(b,f(sF5,sF5)),
inference(superposition,[],[f18989,f1653]) ).
fof(f19023,plain,
sF5 = f(a,f(sF5,sF5)),
inference(superposition,[],[f18989,f2178]) ).
fof(f19240,plain,
b = f(f(b,b),sF5),
inference(superposition,[],[f4517,f19022]) ).
fof(f19319,plain,
a = f(f(a,a),sF5),
inference(superposition,[],[f4517,f19023]) ).
fof(f25804,plain,
! [X0,X1] : sF2 = f(f(f(b,f(sF2,X0)),X1),f(sF2,sF2)),
inference(superposition,[],[f5972,f18198]) ).
fof(f25805,plain,
! [X0,X1] : sF2 = f(f(f(c,f(sF2,X0)),X1),f(sF2,sF2)),
inference(superposition,[],[f5972,f18277]) ).
fof(f25807,plain,
! [X0,X1] : sF5 = f(f(f(b,f(sF5,X0)),X1),f(sF5,sF5)),
inference(superposition,[],[f5972,f19240]) ).
fof(f25808,plain,
! [X0,X1] : sF5 = f(f(f(a,f(sF5,X0)),X1),f(sF5,sF5)),
inference(superposition,[],[f5972,f19319]) ).
fof(f26976,plain,
! [X0] : sF2 = f(f(f(b,a),X0),f(sF2,sF2)),
inference(superposition,[],[f25804,f1652]) ).
fof(f27204,plain,
! [X0] : sF2 = f(f(sF3,X0),f(sF2,sF2)),
inference(forward_demodulation,[],[f26976,f10]) ).
fof(f27296,plain,
f(sF3,sF3) = f(sF2,sF3),
inference(superposition,[],[f1661,f27204]) ).
fof(f27417,plain,
sF4 = f(sF2,sF3),
inference(forward_demodulation,[],[f27296,f12]) ).
fof(f28009,plain,
! [X0] : sF5 = f(f(f(b,c),X0),f(sF5,sF5)),
inference(superposition,[],[f25807,f1655]) ).
fof(f28237,plain,
! [X0] : sF5 = f(f(sF0,X0),f(sF5,sF5)),
inference(forward_demodulation,[],[f28009,f4]) ).
fof(f28327,plain,
f(sF0,sF0) = f(sF5,sF0),
inference(superposition,[],[f1661,f28237]) ).
fof(f28332,plain,
f(sF0,sF0) = f(sF0,sF5),
inference(superposition,[],[f4327,f28237]) ).
fof(f28439,plain,
sF1 = f(sF0,sF5),
inference(forward_demodulation,[],[f28332,f6]) ).
fof(f28443,plain,
sF1 = f(sF5,sF0),
inference(forward_demodulation,[],[f28327,f6]) ).
fof(f29295,plain,
! [X0] : sF5 = f(f(f(a,sF1),X0),f(sF5,sF5)),
inference(superposition,[],[f25808,f28443]) ).
fof(f29393,plain,
! [X0] : sF5 = f(f(sF2,X0),f(sF5,sF5)),
inference(forward_demodulation,[],[f29295,f8]) ).
fof(f29469,plain,
f(sF2,sF2) = f(sF5,sF2),
inference(superposition,[],[f1661,f29393]) ).
fof(f29625,plain,
! [X0] : sF2 = f(f(f(c,sF4),X0),f(sF2,sF2)),
inference(superposition,[],[f25805,f27417]) ).
fof(f29721,plain,
! [X0] : sF2 = f(f(sF5,X0),f(sF2,sF2)),
inference(forward_demodulation,[],[f29625,f14]) ).
fof(f29802,plain,
f(sF5,sF5) = f(sF5,sF2),
inference(superposition,[],[f4327,f29721]) ).
fof(f29914,plain,
f(sF2,sF2) = f(sF5,sF5),
inference(forward_demodulation,[],[f29802,f29469]) ).
fof(f29978,plain,
! [X0] : sF5 = f(f(f(sF1,sF1),X0),f(sF5,f(f(f(f(f(sF1,sF5),sF0),sF0),sF5),sF0))),
inference(superposition,[],[f29,f28439]) ).
fof(f30047,plain,
! [X0] : sF5 = f(f(f(sF1,sF1),X0),f(sF5,sF5)),
inference(forward_demodulation,[],[f29978,f2547]) ).
fof(f30072,plain,
! [X0] : sF5 = f(f(f(sF1,sF1),X0),f(sF2,sF2)),
inference(forward_demodulation,[],[f30047,f29914]) ).
fof(f30084,plain,
! [X0] : sF5 = f(f(sF0,X0),f(sF2,sF2)),
inference(forward_demodulation,[],[f30072,f1528]) ).
fof(f30085,plain,
sF2 = sF5,
inference(forward_demodulation,[],[f30084,f17952]) ).
fof(f30086,plain,
$false,
inference(forward_subsumption_resolution,[],[f30085,f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT076-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n003.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 14:01:11 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 30.07/5.64 % (549109)Detected a unit-equality problem, will run specialized UEQ schedule.
% 30.07/5.64 % (549117)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=4057470036:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 30.07/5.64 % (549114)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=4101852924:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 30.07/5.64 % (549115)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3429423456:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 30.07/5.64 % (549116)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=864652323:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 30.07/5.64 % (549119)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=87356805:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 30.07/5.64 % (549120)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2023851406:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 30.07/5.64 % (549118)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1237393246:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 30.07/5.64 % (549117)Instruction limit reached!
% 30.07/5.64 % (549117)------------------------------
% 30.07/5.64 % (549117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.07/5.64 % (549117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.07/5.64 % (549117)CaDiCaL version: 2.1.3
% 30.07/5.64 % (549117)Termination reason: Instruction limit
% 30.07/5.64 % (549117)Termination phase: Saturation
% 30.07/5.64 % (549117)Time elapsed: 0.043 s
% 30.07/5.64 % (549117)Peak memory usage: 89 MB
% 30.07/5.64 % (549117)Instructions burned: 137 (million)
% 30.07/5.64 % (549118)Instruction limit reached!
% 30.07/5.64 % (549118)------------------------------
% 30.07/5.64 % (549118)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.07/5.64 % (549118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.07/5.64 % (549118)CaDiCaL version: 2.1.3
% 30.07/5.64 % (549118)Termination reason: Instruction limit
% 30.07/5.64 % (549118)Termination phase: Saturation
% 30.07/5.64 % (549118)Time elapsed: 0.101 s
% 30.07/5.64 % (549118)Peak memory usage: 89 MB
% 30.07/5.64 % (549118)Instructions burned: 183 (million)
% 30.07/5.64 % (549128)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1748576226:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2998 on theBenchmark for (2998ds/2051Mi)
% 30.07/5.64 % (549119)Instruction limit reached!
% 30.07/5.64 % (549119)------------------------------
% 30.07/5.64 % (549119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.07/5.64 % (549119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.07/5.64 % (549119)CaDiCaL version: 2.1.3
% 30.07/5.64 % (549119)Termination reason: Instruction limit
% 30.07/5.64 % (549119)Termination phase: Saturation
% 30.07/5.64 % (549119)Time elapsed: 0.154 s
% 30.07/5.64 % (549119)Peak memory usage: 91 MB
% 30.07/5.64 % (549119)Instructions burned: 257 (million)
% 30.07/5.64 % (549129)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4241517848:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 30.07/5.64 % (549131)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=1568079275:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 30.07/5.64 % (549131)Instruction limit reached!
% 30.07/5.64 % (549131)------------------------------
% 30.07/5.64 % (549131)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.07/5.64 % (549131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.07/5.64 % (549131)CaDiCaL version: 2.1.3
% 30.07/5.64 % (549131)Termination reason: Instruction limit
% 30.07/5.64 % (549131)Termination phase: Saturation
% 30.07/5.64 % (549131)Time elapsed: 0.098 s
% 30.07/5.64 % (549131)Peak memory usage: 100 MB
% 30.07/5.64 % (549131)Instructions burned: 218 (million)
% 30.07/5.64 % (549134)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=429179567:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2994 on theBenchmark for (2994ds/317Mi)
% 30.07/5.64 % (549120)Instruction limit reached!
% 30.07/5.64 % (549120)------------------------------
% 30.07/5.64 % (549120)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.07/5.64 % (549120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.07/5.64 % (549120)CaDiCaL version: 2.1.3
% 30.07/5.64 % (549120)Termination reason: Instruction limit
% 30.07/5.64 % (549120)Termination phase: Saturation
% 30.07/5.64 % (549120)Time elapsed: 0.694 s
% 30.07/5.64 % (549120)Peak memory usage: 97 MB
% 30.07/5.64 % (549120)Instructions burned: 1187 (million)
% 30.07/5.64 % (549134)Instruction limit reached!
% 30.07/5.64 % (549134)------------------------------
% 30.07/5.64 % (549134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.07/5.64 % (549134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.07/5.64 % (549134)CaDiCaL version: 2.1.3
% 30.07/5.64 % (549134)Termination reason: Instruction limit
% 30.07/5.64 % (549134)Termination phase: Saturation
% 30.07/5.64 % (549134)Time elapsed: 0.181 s
% 30.07/5.64 % (549134)Peak memory usage: 94 MB
% 30.07/5.64 % (549134)Instructions burned: 318 (million)
% 30.07/5.64 % (549128)Instruction limit reached!
% 30.07/5.64 % (549128)------------------------------
% 30.07/5.64 % (549128)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.07/5.64 % (549128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.07/5.64 % (549128)CaDiCaL version: 2.1.3
% 30.07/5.64 % (549128)Termination reason: Instruction limit
% 30.07/5.64 % (549128)Termination phase: Saturation
% 30.07/5.64 % (549128)Time elapsed: 0.700 s
% 30.07/5.64 % (549128)Peak memory usage: 140 MB
% 30.07/5.64 % (549128)Instructions burned: 2052 (million)
% 30.07/5.64 % (549136)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=3587650559:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2991 on theBenchmark for (2991ds/12125Mi)
% 30.07/5.64 % (549137)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=417837174:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2990 on theBenchmark for (2990ds/2836Mi)
% 30.07/5.64 % (549138)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=580080:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2989 on theBenchmark for (2989ds/14534Mi)
% 30.07/5.64 % (549137)Instruction limit reached!
% 30.07/5.64 % (549137)------------------------------
% 30.07/5.64 % (549137)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.07/5.64 % (549137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.07/5.64 % (549137)CaDiCaL version: 2.1.3
% 30.07/5.64 % (549137)Termination reason: Instruction limit
% 30.07/5.64 % (549137)Termination phase: Saturation
% 30.07/5.64 % (549137)Time elapsed: 1.707 s
% 30.07/5.64 % (549137)Peak memory usage: 130 MB
% 30.07/5.64 % (549137)Instructions burned: 2837 (million)
% 30.07/5.64 % (549142)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=759123487:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2972 on theBenchmark for (2972ds/11832Mi)
% 30.07/5.64 % (549129)Instruction limit reached!
% 30.07/5.64 % (549129)------------------------------
% 30.07/5.64 % (549129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.07/5.64 % (549129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.07/5.64 % (549129)CaDiCaL version: 2.1.3
% 30.07/5.64 % (549129)Termination reason: Instruction limit
% 30.07/5.64 % (549129)Termination phase: Saturation
% 30.07/5.64 % (549129)Time elapsed: 3.085 s
% 30.07/5.64 % (549129)Peak memory usage: 165 MB
% 30.07/5.64 % (549129)Instructions burned: 4948 (million)
% 30.07/5.64 % (549144)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:drc=off:fde=unused:sp=const_min:spb=goal:fd=preordered:random_seed=949849349:i=2279:fgj=on:bd=all_2964 on theBenchmark for (2964ds/2279Mi)
% 30.07/5.64 % (549136)First to succeed.
% 30.07/5.64 % (549136)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-549109"
% 30.07/5.64 % (549136)Refutation found. Thanks to Tanya!
% 30.07/5.64 % SZS status Unsatisfiable for theBenchmark
% 30.07/5.64 % SZS output start Proof for theBenchmark
% See solution above
% 34.43/5.84 % (549136)------------------------------
% 34.43/5.84 % (549136)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.43/5.84 % (549136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.43/5.84 % (549136)CaDiCaL version: 2.1.3
% 34.43/5.84 % (549136)Termination reason: Refutation
% 34.43/5.84 % (549136)Time elapsed: 3.453 s
% 34.43/5.84 % (549136)Peak memory usage: 177 MB
% 34.43/5.84 % (549136)Instructions burned: 5601 (million)
% 34.43/5.84 % (549136)------------------------------
% 34.43/5.84 % (549136)------------------------------
% 34.43/5.84 % (549109)Success in time 4.773 s
% 34.43/5.84 % Vampire exiting
%------------------------------------------------------------------------------