%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LAT392-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 11:48:47 AM UTC 2026
% Result : Unsatisfiable 6.76s 1.55s
% Output : Refutation 6.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 2
% Syntax : Number of formulae : 88 ( 88 unt; 0 def)
% Number of atoms : 88 ( 87 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 17 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 237 ( 237 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1,X6,X7,X4,X5] : mult(plus(mult(plus(X0,X1),plus(X1,mult(X0,X1))),X2),plus(mult(plus(X0,mult(mult(plus(X3,X1),plus(X1,X4)),X1)),plus(mult(plus(X1,plus(plus(mult(X3,mult(X1,X4)),mult(X5,X1)),X1)),plus(X6,mult(X1,plus(plus(mult(X1,X7),mult(X5,X1)),X1)))),mult(X0,mult(mult(plus(X3,X1),plus(X1,X4)),X1)))),mult(mult(plus(X0,X1),plus(X1,mult(X0,X1))),X2))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos) ).
fof(f2,negated_conjecture,
plus(plus(mult(a,b),mult(b,c)),b) != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f3,plain,
b != plus(plus(mult(a,b),mult(b,c)),b),
inference(reorient_equations,[],[f2]) ).
fof(f7,plain,
! [X2,X3,X0,X1,X4] : mult(plus(X2,X0),plus(X0,mult(X2,X0))) = mult(plus(mult(plus(X1,mult(plus(X2,X0),plus(X0,mult(X2,X0)))),plus(mult(plus(X2,X0),plus(X0,mult(X2,X0))),mult(X1,mult(plus(X2,X0),plus(X0,mult(X2,X0)))))),X3),plus(mult(plus(X1,mult(mult(plus(mult(plus(X2,X0),plus(X0,mult(X2,X0))),mult(plus(X2,X0),plus(X0,mult(X2,X0)))),plus(mult(plus(X2,X0),plus(X0,mult(X2,X0))),X4)),mult(plus(X2,X0),plus(X0,mult(X2,X0))))),plus(X0,mult(X1,mult(mult(plus(mult(plus(X2,X0),plus(X0,mult(X2,X0))),mult(plus(X2,X0),plus(X0,mult(X2,X0)))),plus(mult(plus(X2,X0),plus(X0,mult(X2,X0))),X4)),mult(plus(X2,X0),plus(X0,mult(X2,X0))))))),mult(mult(plus(X1,mult(plus(X2,X0),plus(X0,mult(X2,X0)))),plus(mult(plus(X2,X0),plus(X0,mult(X2,X0))),mult(X1,mult(plus(X2,X0),plus(X0,mult(X2,X0)))))),X3))),
inference(superposition,[],[f1,f1]) ).
fof(f15,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : mult(plus(mult(plus(X7,X0),plus(X0,mult(X7,X0))),X8),plus(mult(plus(X7,mult(mult(plus(X0,X0),plus(X0,X9)),X0)),plus(mult(plus(X1,mult(mult(plus(X2,X0),plus(X0,X3)),X0)),plus(mult(plus(X0,plus(plus(mult(X2,mult(X0,X3)),mult(X4,X0)),X0)),plus(X5,mult(X0,plus(plus(mult(X0,X6),mult(X4,X0)),X0)))),mult(X1,mult(mult(plus(X2,X0),plus(X0,X3)),X0)))),mult(X7,mult(mult(plus(X0,X0),plus(X0,X9)),X0)))),mult(mult(plus(X7,X0),plus(X0,mult(X7,X0))),X8))) = X0,
inference(superposition,[],[f7,f1]) ).
fof(f39,plain,
! [X2,X0,X1] : mult(plus(mult(plus(mult(plus(X1,X0),plus(X0,mult(X1,X0))),X0),plus(X0,mult(mult(plus(X1,X0),plus(X0,mult(X1,X0))),X0))),X2),plus(X0,mult(mult(plus(mult(plus(X1,X0),plus(X0,mult(X1,X0))),X0),plus(X0,mult(mult(plus(X1,X0),plus(X0,mult(X1,X0))),X0))),X2))) = X0,
inference(superposition,[],[f15,f1]) ).
fof(f64,plain,
! [X2,X0] : mult(plus(X0,X2),plus(X0,mult(X0,X2))) = X0,
inference(superposition,[],[f39,f39]) ).
fof(f66,plain,
! [X2,X3,X0,X4] : mult(plus(mult(plus(X2,X0),plus(X0,mult(X2,X0))),X3),plus(mult(plus(X2,mult(mult(plus(X0,X0),plus(X0,X4)),X0)),plus(X0,mult(X2,mult(mult(plus(X0,X0),plus(X0,X4)),X0)))),mult(mult(plus(X2,X0),plus(X0,mult(X2,X0))),X3))) = X0,
inference(superposition,[],[f7,f39]) ).
fof(f90,plain,
! [X0,X1] : plus(X0,X1) = mult(plus(plus(X0,X1),plus(X0,mult(X0,X1))),plus(plus(X0,X1),X0)),
inference(superposition,[],[f64,f64]) ).
fof(f169,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : mult(plus(X1,mult(mult(plus(X2,X0),plus(X0,X3)),X0)),plus(mult(plus(X0,plus(plus(mult(X2,mult(X0,X3)),mult(X4,X0)),X0)),plus(X5,mult(X0,plus(plus(mult(X0,X6),mult(X4,X0)),X0)))),mult(X1,mult(mult(plus(X2,X0),plus(X0,X3)),X0)))) = mult(plus(X0,X7),plus(mult(plus(mult(plus(X1,X0),plus(X0,mult(X1,X0))),mult(mult(plus(mult(plus(X1,mult(mult(plus(X2,X0),plus(X0,X3)),X0)),plus(mult(plus(X0,plus(plus(mult(X2,mult(X0,X3)),mult(X4,X0)),X0)),plus(X5,mult(X0,plus(plus(mult(X0,X6),mult(X4,X0)),X0)))),mult(X1,mult(mult(plus(X2,X0),plus(X0,X3)),X0)))),mult(plus(X1,mult(mult(plus(X2,X0),plus(X0,X3)),X0)),plus(mult(plus(X0,plus(plus(mult(X2,mult(X0,X3)),mult(X4,X0)),X0)),plus(X5,mult(X0,plus(plus(mult(X0,X6),mult(X4,X0)),X0)))),mult(X1,mult(mult(plus(X2,X0),plus(X0,X3)),X0))))),plus(mult(plus(X1,mult(mult(plus(X2,X0),plus(X0,X3)),X0)),plus(mult(plus(X0,plus(plus(mult(X2,mult(X0,X3)),mult(X4,X0)),X0)),plus(X5,mult(X0,plus(plus(mult(X0,X6),mult(X4,X0)),X0)))),mult(X1,mult(mult(plus(X2,X0),plus(X0,X3)),X0)))),X8)),mult(plus(X1,mult(mult(plus(X2,X0),plus(X0,X3)),X0)),plus(mult(plus(X0,plus(plus(mult(X2,mult(X0,X3)),mult(X4,X0)),X0)),plus(X5,mult(X0,plus(plus(mult(X0,X6),mult(X4,X0)),X0)))),mult(X1,mult(mult(plus(X2,X0),plus(X0,X3)),X0)))))),plus(mult(plus(X1,mult(mult(plus(X2,X0),plus(X0,X3)),X0)),plus(mult(plus(X0,plus(plus(mult(X2,mult(X0,X3)),mult(X4,X0)),X0)),plus(X5,mult(X0,plus(plus(mult(X0,X6),mult(X4,X0)),X0)))),mult(X1,mult(mult(plus(X2,X0),plus(X0,X3)),X0)))),mult(mult(plus(X1,X0),plus(X0,mult(X1,X0))),mult(mult(plus(mult(plus(X1,mult(mult(plus(X2,X0),plus(X0,X3)),X0)),plus(mult(plus(X0,plus(plus(mult(X2,mult(X0,X3)),mult(X4,X0)),X0)),plus(X5,mult(X0,plus(plus(mult(X0,X6),mult(X4,X0)),X0)))),mult(X1,mult(mult(plus(X2,X0),plus(X0,X3)),X0)))),mult(plus(X1,mult(mult(plus(X2,X0),plus(X0,X3)),X0)),plus(mult(plus(X0,plus(plus(mult(X2,mult(X0,X3)),mult(X4,X0)),X0)),plus(X5,mult(X0,plus(plus(mult(X0,X6),mult(X4,X0)),X0)))),mult(X1,mult(mult(plus(X2,X0),plus(X0,X3)),X0))))),plus(mult(plus(X1,mult(mult(plus(X2,X0),plus(X0,X3)),X0)),plus(mult(plus(X0,plus(plus(mult(X2,mult(X0,X3)),mult(X4,X0)),X0)),plus(X5,mult(X0,plus(plus(mult(X0,X6),mult(X4,X0)),X0)))),mult(X1,mult(mult(plus(X2,X0),plus(X0,X3)),X0)))),X8)),mult(plus(X1,mult(mult(plus(X2,X0),plus(X0,X3)),X0)),plus(mult(plus(X0,plus(plus(mult(X2,mult(X0,X3)),mult(X4,X0)),X0)),plus(X5,mult(X0,plus(plus(mult(X0,X6),mult(X4,X0)),X0)))),mult(X1,mult(mult(plus(X2,X0),plus(X0,X3)),X0)))))))),mult(X0,X7))),
inference(superposition,[],[f66,f1]) ).
fof(f172,plain,
! [X2,X3,X0,X1,X4] : mult(plus(X1,mult(mult(plus(X0,X0),plus(X0,X2)),X0)),plus(X0,mult(X1,mult(mult(plus(X0,X0),plus(X0,X2)),X0)))) = mult(plus(X0,X3),plus(mult(plus(mult(plus(X1,X0),plus(X0,mult(X1,X0))),mult(mult(plus(mult(plus(X1,mult(mult(plus(X0,X0),plus(X0,X2)),X0)),plus(X0,mult(X1,mult(mult(plus(X0,X0),plus(X0,X2)),X0)))),mult(plus(X1,mult(mult(plus(X0,X0),plus(X0,X2)),X0)),plus(X0,mult(X1,mult(mult(plus(X0,X0),plus(X0,X2)),X0))))),plus(mult(plus(X1,mult(mult(plus(X0,X0),plus(X0,X2)),X0)),plus(X0,mult(X1,mult(mult(plus(X0,X0),plus(X0,X2)),X0)))),X4)),mult(plus(X1,mult(mult(plus(X0,X0),plus(X0,X2)),X0)),plus(X0,mult(X1,mult(mult(plus(X0,X0),plus(X0,X2)),X0)))))),plus(mult(plus(X1,mult(mult(plus(X0,X0),plus(X0,X2)),X0)),plus(X0,mult(X1,mult(mult(plus(X0,X0),plus(X0,X2)),X0)))),mult(mult(plus(X1,X0),plus(X0,mult(X1,X0))),mult(mult(plus(mult(plus(X1,mult(mult(plus(X0,X0),plus(X0,X2)),X0)),plus(X0,mult(X1,mult(mult(plus(X0,X0),plus(X0,X2)),X0)))),mult(plus(X1,mult(mult(plus(X0,X0),plus(X0,X2)),X0)),plus(X0,mult(X1,mult(mult(plus(X0,X0),plus(X0,X2)),X0))))),plus(mult(plus(X1,mult(mult(plus(X0,X0),plus(X0,X2)),X0)),plus(X0,mult(X1,mult(mult(plus(X0,X0),plus(X0,X2)),X0)))),X4)),mult(plus(X1,mult(mult(plus(X0,X0),plus(X0,X2)),X0)),plus(X0,mult(X1,mult(mult(plus(X0,X0),plus(X0,X2)),X0)))))))),mult(X0,X3))),
inference(superposition,[],[f66,f66]) ).
fof(f199,plain,
! [X2,X3,X0,X1] : mult(plus(X1,mult(mult(plus(X0,X0),plus(X0,X2)),X0)),plus(X0,mult(X1,mult(mult(plus(X0,X0),plus(X0,X2)),X0)))) = mult(plus(X0,X3),plus(X0,mult(X0,X3))),
inference(forward_demodulation,[],[f172,f66]) ).
fof(f202,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : mult(plus(X1,mult(mult(plus(X2,X0),plus(X0,X3)),X0)),plus(mult(plus(X0,plus(plus(mult(X2,mult(X0,X3)),mult(X4,X0)),X0)),plus(X5,mult(X0,plus(plus(mult(X0,X6),mult(X4,X0)),X0)))),mult(X1,mult(mult(plus(X2,X0),plus(X0,X3)),X0)))) = mult(plus(X0,X7),plus(X0,mult(X0,X7))),
inference(forward_demodulation,[],[f169,f1]) ).
fof(f208,plain,
! [X2,X0,X1] : mult(plus(X1,mult(mult(plus(X0,X0),plus(X0,X2)),X0)),plus(X0,mult(X1,mult(mult(plus(X0,X0),plus(X0,X2)),X0)))) = X0,
inference(forward_demodulation,[],[f199,f64]) ).
fof(f211,plain,
! [X2,X3,X0,X1,X6,X4,X5] : mult(plus(X1,mult(mult(plus(X2,X0),plus(X0,X3)),X0)),plus(mult(plus(X0,plus(plus(mult(X2,mult(X0,X3)),mult(X4,X0)),X0)),plus(X5,mult(X0,plus(plus(mult(X0,X6),mult(X4,X0)),X0)))),mult(X1,mult(mult(plus(X2,X0),plus(X0,X3)),X0)))) = X0,
inference(forward_demodulation,[],[f202,f64]) ).
fof(f216,plain,
! [X0,X1] : mult(plus(X1,mult(X0,X0)),plus(X0,mult(X1,mult(X0,X0)))) = X0,
inference(superposition,[],[f208,f64]) ).
fof(f503,plain,
! [X2,X3,X0,X1,X4,X5] : mult(plus(X0,plus(plus(mult(X1,mult(X0,X2)),mult(X3,X0)),X0)),plus(X4,mult(X0,plus(plus(mult(X0,X5),mult(X3,X0)),X0)))) = X0,
inference(superposition,[],[f211,f39]) ).
fof(f600,plain,
! [X0,X1] : mult(plus(X1,X0),plus(X0,mult(X1,X0))) = X0,
inference(superposition,[],[f503,f1]) ).
fof(f688,plain,
! [X2,X0,X1] : plus(plus(mult(X0,mult(X0,X1)),mult(X2,X0)),X0) = X0,
inference(superposition,[],[f600,f503]) ).
fof(f802,plain,
! [X2,X0,X1] : plus(X0,X1) = plus(plus(mult(plus(X0,X1),X0),mult(X2,plus(X0,X1))),plus(X0,X1)),
inference(superposition,[],[f688,f64]) ).
fof(f803,plain,
! [X2,X0,X1] : plus(X1,X0) = plus(plus(mult(plus(X1,X0),X0),mult(X2,plus(X1,X0))),plus(X1,X0)),
inference(superposition,[],[f688,f600]) ).
fof(f826,plain,
! [X2,X3,X0,X4] : mult(plus(X0,X0),plus(X3,mult(X0,plus(plus(mult(X0,X4),mult(X2,X0)),X0)))) = X0,
inference(superposition,[],[f503,f688]) ).
fof(f857,plain,
! [X2,X0,X1] : mult(X0,plus(X0,mult(plus(mult(X0,mult(X0,X1)),mult(X2,X0)),X0))) = X0,
inference(superposition,[],[f600,f688]) ).
fof(f993,plain,
! [X3,X0] : plus(plus(mult(X0,X0),mult(X3,X0)),X0) = X0,
inference(superposition,[],[f688,f857]) ).
fof(f1354,plain,
! [X2,X0,X1] : plus(plus(mult(X0,plus(mult(X0,X0),mult(X1,X0))),mult(X2,X0)),X0) = X0,
inference(superposition,[],[f802,f993]) ).
fof(f1702,plain,
! [X0,X1] : mult(plus(X0,X0),plus(X1,mult(X0,X0))) = X0,
inference(superposition,[],[f826,f688]) ).
fof(f1812,plain,
! [X0,X1] : mult(mult(plus(X0,X0),plus(X0,X1)),X0) = X0,
inference(superposition,[],[f1702,f208]) ).
fof(f1813,plain,
! [X0] : mult(X0,X0) = X0,
inference(superposition,[],[f1702,f216]) ).
fof(f1814,plain,
! [X2,X0,X1] : mult(mult(plus(X1,X0),plus(X0,X2)),X0) = X0,
inference(superposition,[],[f1702,f211]) ).
fof(f1925,plain,
! [X0,X1] : plus(plus(X0,mult(X1,X0)),X0) = X0,
inference(superposition,[],[f993,f1813]) ).
fof(f1951,plain,
! [X0] : mult(plus(X0,X0),plus(X0,X0)) = X0,
inference(superposition,[],[f600,f1813]) ).
fof(f1953,plain,
! [X0,X1] : plus(plus(mult(X0,mult(X0,X1)),X0),X0) = X0,
inference(superposition,[],[f688,f1813]) ).
fof(f2020,plain,
! [X0] : plus(X0,X0) = X0,
inference(forward_demodulation,[],[f1951,f1813]) ).
fof(f2086,plain,
! [X0,X1] : mult(X0,plus(X1,mult(X0,X0))) = X0,
inference(superposition,[],[f1702,f2020]) ).
fof(f2166,plain,
! [X0,X1] : mult(X0,plus(X1,X0)) = X0,
inference(forward_demodulation,[],[f2086,f1813]) ).
fof(f2772,plain,
! [X0,X1] : mult(mult(X0,plus(X0,X1)),X0) = X0,
inference(forward_demodulation,[],[f1812,f2020]) ).
fof(f2796,plain,
! [X0,X1] : mult(X0,plus(X0,X1)) = mult(plus(mult(X0,plus(X0,X1)),X0),plus(mult(X0,plus(X0,X1)),X0)),
inference(superposition,[],[f64,f2772]) ).
fof(f2877,plain,
! [X0,X1] : mult(X0,plus(X0,X1)) = plus(mult(X0,plus(X0,X1)),X0),
inference(forward_demodulation,[],[f2796,f1813]) ).
fof(f2977,plain,
! [X2,X3,X0,X1] : plus(plus(mult(X1,mult(X0,X2)),mult(X3,X0)),X0) = mult(X0,plus(plus(mult(X1,mult(X0,X2)),mult(X3,X0)),X0)),
inference(superposition,[],[f1814,f503]) ).
fof(f2978,plain,
! [X0,X1] : mult(plus(X0,X1),X1) = X1,
inference(superposition,[],[f1814,f2166]) ).
fof(f3114,plain,
! [X2,X3,X0,X1] : plus(plus(mult(X1,mult(X0,X2)),mult(X3,X0)),X0) = X0,
inference(forward_demodulation,[],[f2977,f2166]) ).
fof(f3243,plain,
! [X0,X1] : plus(X1,X0) = mult(plus(plus(X1,X0),X0),plus(plus(X1,X0),X0)),
inference(superposition,[],[f64,f2978]) ).
fof(f3325,plain,
! [X0,X1] : plus(X1,X0) = plus(plus(X1,X0),X0),
inference(forward_demodulation,[],[f3243,f1813]) ).
fof(f3626,plain,
! [X0,X1] : plus(mult(X0,mult(X0,X1)),X0) = X0,
inference(forward_demodulation,[],[f1953,f3325]) ).
fof(f3643,plain,
! [X0,X1] : plus(X1,X0) = plus(mult(plus(X1,X0),X0),plus(X1,X0)),
inference(superposition,[],[f3626,f600]) ).
fof(f3749,plain,
! [X0,X1] : plus(X1,X0) = plus(X0,plus(X1,X0)),
inference(forward_demodulation,[],[f3643,f2978]) ).
fof(f3861,plain,
! [X2,X0,X1] : mult(mult(plus(X2,X1),plus(X0,X1)),X1) = X1,
inference(superposition,[],[f1814,f3749]) ).
fof(f4056,plain,
! [X0,X1] : plus(plus(mult(X0,plus(mult(X0,X0),mult(X1,X0))),X0),X0) = X0,
inference(superposition,[],[f1354,f3861]) ).
fof(f4097,plain,
! [X0,X1] : plus(mult(X0,plus(mult(X0,X0),mult(X1,X0))),X0) = X0,
inference(forward_demodulation,[],[f4056,f3325]) ).
fof(f4170,plain,
! [X0,X1] : plus(mult(X0,plus(X0,mult(X1,X0))),X0) = X0,
inference(forward_demodulation,[],[f4097,f1813]) ).
fof(f4310,plain,
! [X0,X1] : mult(X0,plus(X0,mult(X1,X0))) = mult(X0,plus(mult(X0,plus(X0,mult(X1,X0))),mult(mult(X0,plus(X0,mult(X1,X0))),X0))),
inference(superposition,[],[f64,f4170]) ).
fof(f4386,plain,
! [X0,X1] : mult(X0,plus(X0,mult(X1,X0))) = mult(X0,plus(mult(X0,plus(X0,mult(X1,X0))),X0)),
inference(forward_demodulation,[],[f4310,f2772]) ).
fof(f4446,plain,
! [X0,X1] : mult(X0,plus(X0,mult(X1,X0))) = X0,
inference(forward_demodulation,[],[f4386,f2166]) ).
fof(f4573,plain,
! [X0,X1] : mult(plus(X0,plus(X0,mult(X1,X0))),plus(X0,X0)) = X0,
inference(superposition,[],[f64,f4446]) ).
fof(f4638,plain,
! [X0,X1] : mult(plus(X0,plus(X0,mult(X1,X0))),X0) = X0,
inference(forward_demodulation,[],[f4573,f2020]) ).
fof(f4774,plain,
! [X0,X1] : plus(X0,mult(X1,X0)) = mult(plus(plus(X0,mult(X1,X0)),plus(plus(X0,mult(X1,X0)),X0)),plus(X0,mult(X1,X0))),
inference(superposition,[],[f4638,f4446]) ).
fof(f4891,plain,
! [X0,X1] : plus(X0,mult(X1,X0)) = mult(plus(plus(X0,mult(X1,X0)),X0),plus(X0,mult(X1,X0))),
inference(forward_demodulation,[],[f4774,f1925]) ).
fof(f4951,plain,
! [X0,X1] : plus(X0,mult(X1,X0)) = mult(X0,plus(X0,mult(X1,X0))),
inference(forward_demodulation,[],[f4891,f1925]) ).
fof(f4994,plain,
! [X0,X1] : plus(X0,mult(X1,X0)) = X0,
inference(forward_demodulation,[],[f4951,f4446]) ).
fof(f5162,plain,
! [X0,X1] : mult(X1,X0) = mult(X0,mult(X1,X0)),
inference(superposition,[],[f2978,f4994]) ).
fof(f7408,plain,
! [X2,X3,X0,X1] : mult(plus(X0,X0),mult(mult(X0,plus(plus(mult(X0,X1),mult(X2,X0)),X0)),plus(mult(X0,plus(plus(mult(X0,X1),mult(X2,X0)),X0)),X3))) = X0,
inference(superposition,[],[f826,f2877]) ).
fof(f7435,plain,
! [X3,X0] : mult(plus(X0,X0),mult(X0,plus(X0,X3))) = X0,
inference(forward_demodulation,[],[f7408,f2166]) ).
fof(f7490,plain,
! [X3,X0] : mult(X0,mult(X0,plus(X0,X3))) = X0,
inference(forward_demodulation,[],[f7435,f2020]) ).
fof(f7881,plain,
! [X2,X0,X1] : plus(plus(mult(X0,X1),mult(X2,X0)),X0) = X0,
inference(superposition,[],[f3114,f1813]) ).
fof(f7897,plain,
! [X2,X0,X1] : plus(plus(mult(X1,mult(X0,X2)),X0),X0) = X0,
inference(superposition,[],[f3114,f1814]) ).
fof(f8063,plain,
! [X2,X0,X1] : plus(mult(X1,mult(X0,X2)),X0) = X0,
inference(forward_demodulation,[],[f7897,f3325]) ).
fof(f8232,plain,
! [X2,X0,X1] : plus(X0,X2) = plus(mult(X1,X0),plus(X0,X2)),
inference(superposition,[],[f8063,f64]) ).
fof(f8247,plain,
! [X0,X1] : plus(mult(X0,X1),X0) = X0,
inference(superposition,[],[f8063,f1813]) ).
fof(f8497,plain,
! [X0,X1] : mult(X0,plus(X0,X1)) = X0,
inference(superposition,[],[f8247,f2877]) ).
fof(f8544,plain,
! [X0,X1] : mult(mult(X0,X1),X0) = plus(mult(mult(X0,X1),X0),mult(X0,X1)),
inference(superposition,[],[f2877,f8247]) ).
fof(f8587,plain,
! [X0,X1] : mult(X0,X1) = mult(mult(X0,X1),X0),
inference(forward_demodulation,[],[f8544,f8247]) ).
fof(f8764,plain,
! [X0,X1] : plus(X0,X1) = plus(plus(mult(plus(X0,X1),X1),X0),plus(X0,X1)),
inference(superposition,[],[f803,f8497]) ).
fof(f8872,plain,
! [X0,X1] : plus(X0,X1) = plus(plus(X1,X0),plus(X0,X1)),
inference(forward_demodulation,[],[f8764,f2978]) ).
fof(f9469,plain,
! [X0,X1] : plus(mult(X0,X1),X0) = mult(plus(plus(mult(X0,X1),X0),plus(mult(X0,X1),mult(X0,X1))),plus(plus(mult(X0,X1),X0),mult(X0,X1))),
inference(superposition,[],[f90,f8587]) ).
fof(f9563,plain,
! [X0,X1] : mult(plus(X0,plus(mult(X0,X1),mult(X0,X1))),plus(X0,mult(X0,X1))) = X0,
inference(forward_demodulation,[],[f9469,f8247]) ).
fof(f9621,plain,
! [X0,X1] : mult(plus(X0,mult(X0,X1)),plus(X0,mult(X0,X1))) = X0,
inference(forward_demodulation,[],[f9563,f2020]) ).
fof(f9657,plain,
! [X0,X1] : plus(X0,mult(X0,X1)) = X0,
inference(forward_demodulation,[],[f9621,f1813]) ).
fof(f9870,plain,
! [X0,X1] : mult(X0,X1) = mult(X0,mult(X0,X1)),
inference(superposition,[],[f2978,f9657]) ).
fof(f13738,plain,
! [X2,X0,X1] : mult(X2,X0) = mult(mult(X2,X0),mult(mult(X2,X0),plus(X0,X1))),
inference(superposition,[],[f7490,f8232]) ).
fof(f13743,plain,
! [X2,X0,X1] : mult(X2,X0) = mult(mult(X2,X0),plus(X0,X1)),
inference(forward_demodulation,[],[f13738,f9870]) ).
fof(f14945,plain,
! [X2,X0,X1] : mult(X0,plus(plus(X0,X1),X2)) = X0,
inference(superposition,[],[f13743,f8497]) ).
fof(f15587,plain,
! [X2,X0,X1] : mult(X1,plus(X0,plus(X1,X2))) = X1,
inference(superposition,[],[f14945,f3749]) ).
fof(f16251,plain,
! [X2,X0,X1] : mult(plus(X1,plus(X0,X2)),X0) = X0,
inference(superposition,[],[f5162,f15587]) ).
fof(f19807,plain,
! [X0,X1] : plus(X0,X1) = mult(plus(plus(X0,X1),plus(plus(X1,X0),mult(plus(X1,X0),plus(X0,X1)))),plus(plus(X0,X1),plus(X1,X0))),
inference(superposition,[],[f90,f8872]) ).
fof(f19866,plain,
! [X0,X1] : plus(X0,X1) = mult(plus(plus(X0,X1),plus(plus(X1,X0),mult(plus(X1,X0),plus(X0,X1)))),plus(X1,X0)),
inference(forward_demodulation,[],[f19807,f8872]) ).
fof(f19924,plain,
! [X0,X1] : plus(X0,X1) = plus(X1,X0),
inference(forward_demodulation,[],[f19866,f16251]) ).
fof(f20213,plain,
b != plus(plus(mult(b,c),mult(a,b)),b),
inference(superposition,[],[f3,f19924]) ).
fof(f20445,plain,
$false,
inference(forward_subsumption_resolution,[],[f20213,f7881]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT392-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n016.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 15:19:02 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.43 Running first-order model finding
% 0.11/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.76/1.55 % (2766746)Will run a generic schedule for satisfiability detection.
% 6.76/1.55 % (2766754)dis+10_1_sil=32000:sp=arity:random_seed=2601765717:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 6.76/1.55 % (2766752)% WARNING: option uhcvi not known.
% 6.76/1.55 % (2766752)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2796334371:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 6.76/1.55 % (2766751)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3212128222_3000 on theBenchmark for (3000ds/0Mi)
% 6.76/1.55 % (2766756)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2531326840:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 6.76/1.55 % (2766753)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1307537566:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 6.76/1.55 % (2766755)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1673801866:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 6.76/1.55 % (2766757)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=543376973:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 6.76/1.55 % TRYING [1]
% 6.76/1.55 % TRYING [2]
% 6.76/1.55 % (2766754)Instruction limit reached!
% 6.76/1.55 % (2766754)------------------------------
% 6.76/1.55 % (2766754)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.76/1.55 % (2766754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.55 % (2766754)CaDiCaL version: 2.1.3
% 6.76/1.55 % (2766754)Termination reason: Instruction limit
% 6.76/1.55 % (2766754)Termination phase: Saturation
% 6.76/1.55 % (2766754)Time elapsed: 0.035 s
% 6.76/1.55 % (2766754)Peak memory usage: 11 MB
% 6.76/1.55 % (2766754)Instructions burned: 105 (million)
% 6.76/1.55 % TRYING [3]
% 6.76/1.55 % (2766765)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1285259951:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.76/1.55 % TRYING [1]
% 6.76/1.55 % TRYING [2]
% 6.76/1.55 % TRYING [3]
% 6.76/1.55 % (2766755)Instruction limit reached!
% 6.76/1.55 % (2766755)------------------------------
% 6.76/1.55 % (2766755)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.76/1.55 % (2766755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.55 % (2766755)CaDiCaL version: 2.1.3
% 6.76/1.55 % (2766755)Termination reason: Instruction limit
% 6.76/1.55 % (2766755)Termination phase: Saturation
% 6.76/1.55 % (2766755)Time elapsed: 0.091 s
% 6.76/1.55 % (2766755)Peak memory usage: 14 MB
% 6.76/1.55 % (2766755)Instructions burned: 117 (million)
% 6.76/1.55 % (2766756)Instruction limit reached!
% 6.76/1.55 % (2766756)------------------------------
% 6.76/1.55 % (2766756)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.76/1.55 % (2766756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.55 % (2766756)CaDiCaL version: 2.1.3
% 6.76/1.55 % (2766756)Termination reason: Instruction limit
% 6.76/1.55 % (2766756)Termination phase: Saturation
% 6.76/1.55 % (2766756)Time elapsed: 0.095 s
% 6.76/1.55 % (2766756)Peak memory usage: 15 MB
% 6.76/1.55 % (2766756)Instructions burned: 133 (million)
% 6.76/1.55 % (2766769)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3795672270:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.76/1.55 % (2766768)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=297864816:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 6.76/1.55 % (2766757)Instruction limit reached!
% 6.76/1.55 % (2766757)------------------------------
% 6.76/1.55 % (2766757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.76/1.55 % (2766757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.55 % (2766757)CaDiCaL version: 2.1.3
% 6.76/1.55 % (2766757)Termination reason: Instruction limit
% 6.76/1.55 % (2766757)Termination phase: Saturation
% 6.76/1.55 % (2766757)Time elapsed: 0.135 s
% 6.76/1.55 % (2766757)Peak memory usage: 14 MB
% 6.76/1.55 % (2766757)Instructions burned: 159 (million)
% 6.76/1.55 % (2766774)ott-21_1_sil=16000:fs=off:random_seed=1228952163:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.76/1.55 % (2766768)Instruction limit reached!
% 6.76/1.55 % (2766768)------------------------------
% 6.76/1.55 % (2766768)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.76/1.55 % (2766768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.55 % (2766768)CaDiCaL version: 2.1.3
% 6.76/1.55 % (2766768)Termination reason: Instruction limit
% 6.76/1.55 % (2766768)Termination phase: Saturation
% 6.76/1.55 % (2766768)Time elapsed: 0.098 s
% 6.76/1.55 % (2766768)Peak memory usage: 13 MB
% 6.76/1.55 % (2766768)Instructions burned: 132 (million)
% 6.76/1.55 % (2766776)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3454168976:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 6.76/1.55 % (2766774)Instruction limit reached!
% 6.76/1.55 % (2766774)------------------------------
% 6.76/1.55 % (2766774)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.76/1.55 % (2766774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.55 % (2766774)CaDiCaL version: 2.1.3
% 6.76/1.55 % (2766774)Termination reason: Instruction limit
% 6.76/1.55 % (2766774)Termination phase: Saturation
% 6.76/1.55 % (2766774)Time elapsed: 0.132 s
% 6.76/1.55 % (2766774)Peak memory usage: 13 MB
% 6.76/1.55 % (2766774)Instructions burned: 181 (million)
% 6.76/1.55 % (2766778)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3056055306:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 6.76/1.55 % TRYING [1]
% 6.76/1.55 % TRYING [2]
% 6.76/1.55 % (2766765)Instruction limit reached!
% 6.76/1.55 % (2766765)------------------------------
% 6.76/1.55 % (2766765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.76/1.55 % (2766765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.55 % (2766765)CaDiCaL version: 2.1.3
% 6.76/1.55 % (2766765)Termination reason: Instruction limit
% 6.76/1.55 % (2766765)Termination phase: Finite model building SAT solving
% 6.76/1.55 % (2766765)Time elapsed: 0.322 s
% 6.76/1.55 % (2766765)Peak memory usage: 15 MB
% 6.76/1.55 % (2766765)Instructions burned: 715 (million)
% 6.76/1.55 % TRYING [3]
% 6.76/1.55 % (2766781)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3006094915:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 6.76/1.55 % (2766776)Instruction limit reached!
% 6.76/1.55 % (2766776)------------------------------
% 6.76/1.55 % (2766776)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.76/1.55 % (2766776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.55 % (2766776)CaDiCaL version: 2.1.3
% 6.76/1.55 % (2766776)Termination reason: Instruction limit
% 6.76/1.55 % (2766776)Termination phase: Saturation
% 6.76/1.55 % (2766776)Time elapsed: 0.379 s
% 6.76/1.55 % (2766776)Peak memory usage: 14 MB
% 6.76/1.55 % (2766776)Instructions burned: 477 (million)
% 6.76/1.55 % (2766785)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3238043898:i=889:ins=1_2993 on theBenchmark for (2993ds/889Mi)
% 6.76/1.55 % (2766769)Instruction limit reached!
% 6.76/1.55 % (2766769)------------------------------
% 6.76/1.55 % (2766769)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.76/1.55 % (2766769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.55 % (2766769)CaDiCaL version: 2.1.3
% 6.76/1.55 % (2766769)Termination reason: Instruction limit
% 6.76/1.55 % (2766769)Termination phase: Saturation
% 6.76/1.55 % (2766769)Time elapsed: 0.565 s
% 6.76/1.55 % (2766769)Peak memory usage: 19 MB
% 6.76/1.55 % (2766769)Instructions burned: 685 (million)
% 6.76/1.55 % (2766787)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3003847313:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2992 on theBenchmark for (2992ds/692Mi)
% 6.76/1.55 % (2766781)Instruction limit reached!
% 6.76/1.55 % (2766781)------------------------------
% 6.76/1.55 % (2766781)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.76/1.55 % (2766781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.55 % (2766781)CaDiCaL version: 2.1.3
% 6.76/1.55 % (2766781)Termination reason: Instruction limit
% 6.76/1.55 % (2766781)Termination phase: Saturation
% 6.76/1.55 % (2766781)Time elapsed: 0.483 s
% 6.76/1.55 % (2766781)Peak memory usage: 57 MB
% 6.76/1.55 % (2766781)Instructions burned: 1180 (million)
% 6.76/1.55 % (2766791)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=109025577:i=879:kws=inv_precedence:fsr=off_2991 on theBenchmark for (2991ds/879Mi)
% 6.76/1.55 % (2766753) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2766746-2766753"...
% 6.76/1.55 % (2766753)...printing done.
% 6.76/1.55 % (2766753)Refutation found. Thanks to Tanya!
% 6.76/1.55 % SZS status Unsatisfiable for theBenchmark
% 6.76/1.55 % SZS output start Proof for theBenchmark
% See solution above
% 6.76/1.55 % (2766753)------------------------------
% 6.76/1.55 % (2766753)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.76/1.55 % (2766753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.55 % (2766753)CaDiCaL version: 2.1.3
% 6.76/1.55 % (2766753)Termination reason: Refutation
% 6.76/1.55 % (2766753)Time elapsed: 1.065 s
% 6.76/1.55 % (2766753)Peak memory usage: 23 MB
% 6.76/1.55 % (2766753)Instructions burned: 1214 (million)
% 6.76/1.55 % (2766746)Success in time 1.117 s
% 6.76/1.55 % Vampire exiting
%------------------------------------------------------------------------------