%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP410-1 : 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 : n007.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 10:13:52 AM UTC 2026
% Result : Unsatisfiable 5.85s 2.02s
% Output : Refutation 8.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 66
% Number of leaves : 5
% Syntax : Number of formulae : 274 ( 274 unt; 3 def)
% Number of atoms : 274 ( 273 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 17 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 562 ( 562 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X2,X0,X1] : multiply(multiply(inverse(multiply(X0,inverse(multiply(X1,X2)))),multiply(X0,inverse(X2))),inverse(multiply(inverse(X2),X2))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
fof(f3,plain,
a2 != multiply(multiply(inverse(b2),b2),a2),
inference(reorient_equations,[],[f2]) ).
fof(f4,definition,
sF0 = inverse(b2),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f5,plain,
inverse(b2) = sF0,
inference(reorient_equations,[],[f4]) ).
fof(f6,definition,
sF1 = multiply(sF0,b2),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f7,plain,
multiply(sF0,b2) = sF1,
inference(reorient_equations,[],[f6]) ).
fof(f8,definition,
sF2 = multiply(sF1,a2),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f9,plain,
multiply(sF1,a2) = sF2,
inference(reorient_equations,[],[f8]) ).
fof(f10,plain,
a2 != sF2,
inference(definition_folding,[],[f3,f9,f7,f5]) ).
fof(f11,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X2,inverse(multiply(X0,X3)))),multiply(X2,inverse(X3))) = multiply(multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(inverse(multiply(inverse(X3),X3))))),inverse(multiply(inverse(inverse(multiply(inverse(X3),X3))),inverse(multiply(inverse(X3),X3))))),
inference(superposition,[],[f1,f1]) ).
fof(f12,plain,
! [X2,X0,X1] : inverse(X2) = multiply(multiply(inverse(X0),multiply(multiply(inverse(multiply(X1,inverse(multiply(X0,X2)))),multiply(X1,inverse(X2))),inverse(X2))),inverse(multiply(inverse(X2),X2))),
inference(superposition,[],[f1,f1]) ).
fof(f13,plain,
! [X2,X3,X0,X1] : multiply(multiply(inverse(multiply(multiply(inverse(multiply(X1,inverse(multiply(X0,X2)))),multiply(X1,inverse(X2))),inverse(multiply(X3,multiply(inverse(X2),X2))))),X0),inverse(multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X2),X2)))) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f14,plain,
! [X0,X1] : multiply(multiply(inverse(multiply(X0,inverse(multiply(X1,b2)))),multiply(X0,sF0)),inverse(multiply(sF0,b2))) = X1,
inference(superposition,[],[f1,f5]) ).
fof(f15,plain,
! [X0,X1] : multiply(multiply(inverse(multiply(X0,inverse(multiply(X1,b2)))),multiply(X0,sF0)),inverse(sF1)) = X1,
inference(forward_demodulation,[],[f14,f7]) ).
fof(f18,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X2,inverse(multiply(X0,b2)))),multiply(X2,sF0)) = multiply(multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(inverse(sF1)))),inverse(multiply(inverse(inverse(sF1)),inverse(sF1)))),
inference(superposition,[],[f1,f15]) ).
fof(f20,plain,
! [X0] : sF0 = multiply(multiply(inverse(multiply(X0,inverse(sF1))),multiply(X0,sF0)),inverse(sF1)),
inference(superposition,[],[f15,f7]) ).
fof(f29,plain,
! [X0] : inverse(b2) = multiply(multiply(inverse(sF0),multiply(multiply(inverse(multiply(X0,inverse(sF1))),multiply(X0,inverse(b2))),inverse(b2))),inverse(multiply(inverse(b2),b2))),
inference(superposition,[],[f12,f7]) ).
fof(f37,plain,
! [X2,X0,X1] : inverse(X0) = multiply(multiply(inverse(inverse(X0)),multiply(multiply(inverse(X1),multiply(multiply(inverse(multiply(X2,inverse(multiply(X1,X0)))),multiply(X2,inverse(X0))),inverse(X0))),inverse(X0))),inverse(multiply(inverse(X0),X0))),
inference(superposition,[],[f1,f12]) ).
fof(f40,plain,
! [X2,X3,X0,X1] : multiply(inverse(X2),multiply(multiply(inverse(multiply(X3,inverse(multiply(X2,X0)))),multiply(X3,inverse(X0))),inverse(X0))) = multiply(multiply(inverse(multiply(X1,inverse(inverse(X0)))),multiply(X1,inverse(inverse(multiply(inverse(X0),X0))))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))))),
inference(superposition,[],[f1,f12]) ).
fof(f43,plain,
! [X0] : sF0 = multiply(multiply(inverse(sF0),multiply(multiply(inverse(multiply(X0,inverse(sF1))),multiply(X0,sF0)),sF0)),inverse(multiply(sF0,b2))),
inference(forward_demodulation,[],[f29,f5]) ).
fof(f44,plain,
! [X0] : sF0 = multiply(multiply(inverse(sF0),multiply(multiply(inverse(multiply(X0,inverse(sF1))),multiply(X0,sF0)),sF0)),inverse(sF1)),
inference(forward_demodulation,[],[f43,f7]) ).
fof(f46,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(inverse(sF1)))) = multiply(multiply(inverse(multiply(X3,inverse(multiply(inverse(multiply(X2,inverse(multiply(X0,b2)))),multiply(X2,sF0))))),multiply(X3,inverse(inverse(multiply(inverse(inverse(sF1)),inverse(sF1)))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(sF1)),inverse(sF1)))),inverse(multiply(inverse(inverse(sF1)),inverse(sF1)))))),
inference(superposition,[],[f11,f15]) ).
fof(f68,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X0,inverse(multiply(X1,X2)))),multiply(X0,inverse(X2))) = multiply(inverse(multiply(X3,inverse(multiply(X1,X2)))),multiply(X3,inverse(X2))),
inference(superposition,[],[f11,f11]) ).
fof(f73,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,inverse(multiply(multiply(X1,inverse(multiply(inverse(X2),X2))),X2)))),multiply(X0,inverse(X2))) = X1,
inference(superposition,[],[f1,f11]) ).
fof(f120,plain,
! [X0,X1] : multiply(inverse(multiply(X0,inverse(multiply(multiply(X1,inverse(multiply(sF0,b2))),b2)))),multiply(X0,sF0)) = X1,
inference(superposition,[],[f73,f5]) ).
fof(f134,plain,
! [X0,X1] : multiply(inverse(multiply(X0,inverse(multiply(multiply(X1,inverse(sF1)),b2)))),multiply(X0,sF0)) = X1,
inference(forward_demodulation,[],[f120,f7]) ).
fof(f172,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(multiply(X2,inverse(X3))))) = multiply(inverse(multiply(X4,inverse(X0))),multiply(X4,inverse(multiply(X2,inverse(X3))))),
inference(superposition,[],[f68,f73]) ).
fof(f268,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(inverse(X3)),inverse(multiply(multiply(X0,inverse(multiply(inverse(X3),X3))),X3)))) = multiply(multiply(inverse(multiply(multiply(inverse(multiply(X1,inverse(multiply(X2,inverse(X3))))),multiply(X1,inverse(inverse(X3)))),inverse(X0))),X2),inverse(multiply(inverse(multiply(inverse(inverse(X3)),inverse(X3))),multiply(inverse(inverse(X3)),inverse(X3))))),
inference(superposition,[],[f13,f73]) ).
fof(f274,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))),inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3))))),X3)))),multiply(X2,inverse(X3))),inverse(multiply(X0,multiply(inverse(X3),X3))))) = multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))))),
inference(superposition,[],[f73,f13]) ).
fof(f278,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X0),multiply(multiply(inverse(multiply(multiply(inverse(multiply(X1,inverse(multiply(X2,X3)))),multiply(X1,inverse(X3))),inverse(multiply(X0,multiply(inverse(X3),X3))))),X2),inverse(multiply(inverse(X3),X3)))) = multiply(multiply(inverse(multiply(X4,inverse(inverse(multiply(inverse(X3),X3))))),multiply(X4,inverse(inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))),inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))))),
inference(superposition,[],[f11,f13]) ).
fof(f300,plain,
! [X2,X0,X1] : inverse(multiply(inverse(sF0),inverse(multiply(multiply(X0,inverse(sF1)),b2)))) = multiply(multiply(inverse(multiply(multiply(inverse(multiply(X1,inverse(multiply(X2,sF0)))),multiply(X1,inverse(sF0))),inverse(X0))),X2),inverse(multiply(inverse(multiply(inverse(sF0),sF0)),multiply(inverse(sF0),sF0)))),
inference(superposition,[],[f13,f134]) ).
fof(f369,plain,
! [X2,X0,X1,X6] : multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X0))) = multiply(inverse(multiply(X6,inverse(X2))),multiply(X6,inverse(X0))),
inference(superposition,[],[f172,f13]) ).
fof(f371,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(multiply(inverse(inverse(X3)),inverse(X3))))) = multiply(inverse(multiply(multiply(inverse(multiply(X4,inverse(multiply(X0,inverse(X3))))),multiply(X4,inverse(inverse(X3)))),inverse(X2))),X0),
inference(superposition,[],[f172,f1]) ).
fof(f454,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))),multiply(X1,inverse(X3))) = multiply(inverse(X0),multiply(multiply(inverse(multiply(X4,inverse(multiply(X0,X2)))),multiply(X4,inverse(X2))),inverse(X3))),
inference(superposition,[],[f369,f1]) ).
fof(f457,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,inverse(sF1))),multiply(X0,inverse(X1))) = multiply(inverse(sF0),multiply(multiply(inverse(multiply(X2,inverse(sF1))),multiply(X2,sF0)),inverse(X1))),
inference(superposition,[],[f369,f20]) ).
fof(f461,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,sF0)) = multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,sF0)),
inference(superposition,[],[f369,f5]) ).
fof(f463,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(multiply(inverse(X3),X3)))) = multiply(inverse(multiply(multiply(inverse(multiply(X4,inverse(multiply(X0,X3)))),multiply(X4,inverse(X3))),inverse(X2))),X0),
inference(superposition,[],[f369,f1]) ).
fof(f464,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(sF1))) = multiply(inverse(multiply(multiply(inverse(multiply(X3,inverse(multiply(X0,b2)))),multiply(X3,sF0)),inverse(X2))),X0),
inference(superposition,[],[f369,f15]) ).
fof(f828,plain,
! [X0,X1] : multiply(inverse(multiply(X0,inverse(multiply(sF1,b2)))),multiply(X0,sF0)) = multiply(multiply(inverse(sF0),multiply(multiply(inverse(sF0),multiply(multiply(inverse(multiply(X1,inverse(sF1))),multiply(X1,sF0)),sF0)),inverse(inverse(sF1)))),inverse(multiply(inverse(inverse(sF1)),inverse(sF1)))),
inference(superposition,[],[f18,f44]) ).
fof(f884,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X2,inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,b2)))),multiply(X0,sF0))))),multiply(X2,inverse(inverse(multiply(inverse(inverse(sF1)),inverse(sF1)))))) = multiply(multiply(inverse(multiply(X4,inverse(multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(inverse(sF1))))))),multiply(X4,inverse(inverse(multiply(inverse(inverse(multiply(inverse(inverse(sF1)),inverse(sF1)))),inverse(multiply(inverse(inverse(sF1)),inverse(sF1)))))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(inverse(sF1)),inverse(sF1)))),inverse(multiply(inverse(inverse(sF1)),inverse(sF1)))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(sF1)),inverse(sF1)))),inverse(multiply(inverse(inverse(sF1)),inverse(sF1)))))))),
inference(superposition,[],[f11,f18]) ).
fof(f1114,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(inverse(multiply(multiply(inverse(multiply(multiply(inverse(inverse(X0)),multiply(multiply(inverse(X1),multiply(multiply(inverse(multiply(X2,inverse(multiply(X1,X0)))),multiply(X2,inverse(X0))),inverse(X0))),inverse(X0))),inverse(multiply(X3,multiply(inverse(X0),X0))))),inverse(X0)),inverse(multiply(X4,multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X0),X0)))))),X3),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X0),X0))),multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X0),X0))))) = X4,
inference(superposition,[],[f13,f37]) ).
fof(f1127,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(multiply(inverse(X0),X0)))) = multiply(inverse(multiply(multiply(inverse(inverse(X0)),multiply(multiply(inverse(X3),multiply(multiply(inverse(multiply(X4,inverse(multiply(X3,X0)))),multiply(X4,inverse(X0))),inverse(X0))),inverse(X0))),inverse(X2))),inverse(X0)),
inference(superposition,[],[f369,f37]) ).
fof(f1425,plain,
! [X2,X0,X1] : multiply(multiply(inverse(multiply(multiply(inverse(sF0),multiply(multiply(inverse(sF0),multiply(multiply(inverse(multiply(X1,inverse(sF1))),multiply(X1,sF0)),sF0)),inverse(inverse(sF1)))),inverse(multiply(X2,multiply(inverse(inverse(sF1)),inverse(sF1)))))),multiply(inverse(multiply(X0,inverse(multiply(sF1,b2)))),multiply(X0,sF0))),inverse(multiply(inverse(multiply(inverse(inverse(sF1)),inverse(sF1))),multiply(inverse(inverse(sF1)),inverse(sF1))))) = X2,
inference(superposition,[],[f1,f828]) ).
fof(f1428,plain,
! [X2,X0,X1] : inverse(multiply(inverse(inverse(sF1)),inverse(sF1))) = multiply(multiply(inverse(X1),multiply(multiply(inverse(multiply(multiply(inverse(sF0),multiply(multiply(inverse(sF0),multiply(multiply(inverse(multiply(X2,inverse(sF1))),multiply(X2,sF0)),sF0)),inverse(inverse(sF1)))),inverse(multiply(X1,multiply(inverse(inverse(sF1)),inverse(sF1)))))),multiply(inverse(multiply(X0,inverse(multiply(sF1,b2)))),multiply(X0,sF0))),inverse(multiply(inverse(inverse(sF1)),inverse(sF1))))),inverse(multiply(inverse(multiply(inverse(inverse(sF1)),inverse(sF1))),multiply(inverse(inverse(sF1)),inverse(sF1))))),
inference(superposition,[],[f12,f828]) ).
fof(f1583,plain,
! [X2,X0] : multiply(inverse(X0),X0) = multiply(inverse(sF0),multiply(multiply(inverse(multiply(X2,inverse(sF1))),multiply(X2,sF0)),inverse(sF1))),
inference(superposition,[],[f457,f15]) ).
fof(f1616,plain,
! [X0] : multiply(inverse(sF0),sF0) = multiply(inverse(multiply(X0,inverse(sF1))),multiply(X0,inverse(sF1))),
inference(superposition,[],[f457,f20]) ).
fof(f1688,plain,
! [X2,X0,X1] : multiply(multiply(inverse(multiply(multiply(inverse(sF0),multiply(multiply(inverse(sF0),multiply(multiply(inverse(multiply(X1,inverse(sF1))),multiply(X1,sF0)),sF0)),inverse(inverse(sF1)))),inverse(multiply(X2,multiply(inverse(inverse(sF1)),inverse(sF1)))))),multiply(inverse(multiply(X0,inverse(multiply(sF1,b2)))),multiply(X0,sF0))),inverse(multiply(inverse(sF0),sF0))) = X2,
inference(backward_demodulation,[],[f1425,f1616]) ).
fof(f1690,plain,
! [X2,X0,X1] : inverse(multiply(inverse(inverse(sF1)),inverse(sF1))) = multiply(multiply(inverse(X1),multiply(multiply(inverse(multiply(multiply(inverse(sF0),multiply(multiply(inverse(sF0),multiply(multiply(inverse(multiply(X2,inverse(sF1))),multiply(X2,sF0)),sF0)),inverse(inverse(sF1)))),inverse(multiply(X1,multiply(inverse(inverse(sF1)),inverse(sF1)))))),multiply(inverse(multiply(X0,inverse(multiply(sF1,b2)))),multiply(X0,sF0))),inverse(multiply(inverse(inverse(sF1)),inverse(sF1))))),inverse(multiply(inverse(sF0),sF0))),
inference(backward_demodulation,[],[f1428,f1616]) ).
fof(f1694,plain,
! [X0] : multiply(inverse(X0),X0) = multiply(inverse(sF0),sF0),
inference(forward_demodulation,[],[f1583,f20]) ).
fof(f1789,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(inverse(multiply(inverse(sF0),sF0))))) = inverse(multiply(multiply(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(sF0),sF0))),inverse(multiply(inverse(sF0),sF0)))),X3)))),multiply(X2,inverse(X3))),inverse(multiply(X0,multiply(inverse(X3),X3))))),
inference(backward_demodulation,[],[f274,f1694]) ).
fof(f1791,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X0),multiply(multiply(inverse(multiply(multiply(inverse(multiply(X1,inverse(multiply(X2,X3)))),multiply(X1,inverse(X3))),inverse(multiply(X0,multiply(inverse(X3),X3))))),X2),inverse(multiply(inverse(X3),X3)))) = multiply(multiply(inverse(multiply(X4,inverse(inverse(multiply(inverse(X3),X3))))),multiply(X4,inverse(inverse(multiply(inverse(sF0),sF0))))),inverse(multiply(inverse(inverse(multiply(inverse(sF0),sF0))),inverse(multiply(inverse(sF0),sF0))))),
inference(backward_demodulation,[],[f278,f1694]) ).
fof(f1814,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(inverse(multiply(multiply(inverse(multiply(multiply(inverse(inverse(X0)),multiply(multiply(inverse(X1),multiply(multiply(inverse(multiply(X2,inverse(multiply(X1,X0)))),multiply(X2,inverse(X0))),inverse(X0))),inverse(X0))),inverse(multiply(X3,multiply(inverse(X0),X0))))),inverse(X0)),inverse(multiply(X4,multiply(inverse(sF0),sF0))))),X3),inverse(multiply(inverse(multiply(inverse(sF0),sF0)),multiply(inverse(sF0),sF0)))) = X4,
inference(backward_demodulation,[],[f1114,f1694]) ).
fof(f1840,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(inverse(X3)),inverse(multiply(multiply(X0,inverse(multiply(inverse(X3),X3))),X3)))) = multiply(multiply(inverse(multiply(multiply(inverse(multiply(X1,inverse(multiply(X2,inverse(X3))))),multiply(X1,inverse(inverse(X3)))),inverse(X0))),X2),inverse(multiply(inverse(sF0),sF0))),
inference(backward_demodulation,[],[f268,f1694]) ).
fof(f1847,plain,
! [X2,X0,X1] : inverse(multiply(inverse(sF0),inverse(multiply(multiply(X0,inverse(sF1)),b2)))) = multiply(multiply(inverse(multiply(multiply(inverse(multiply(X1,inverse(multiply(X2,sF0)))),multiply(X1,inverse(sF0))),inverse(X0))),X2),inverse(multiply(inverse(sF0),sF0))),
inference(backward_demodulation,[],[f300,f1694]) ).
fof(f1873,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(multiply(inverse(multiply(X4,inverse(multiply(X0,inverse(X3))))),multiply(X4,inverse(inverse(X3)))),inverse(X2))),X0) = multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(multiply(inverse(sF0),sF0)))),
inference(backward_demodulation,[],[f371,f1694]) ).
fof(f1875,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X2,inverse(multiply(X0,X3)))),multiply(X2,inverse(X3))) = multiply(multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(inverse(multiply(inverse(X3),X3))))),inverse(multiply(inverse(sF0),sF0))),
inference(backward_demodulation,[],[f11,f1694]) ).
fof(f1878,plain,
! [X2,X3,X0,X1] : multiply(inverse(X2),multiply(multiply(inverse(multiply(X3,inverse(multiply(X2,X0)))),multiply(X3,inverse(X0))),inverse(X0))) = multiply(multiply(inverse(multiply(X1,inverse(inverse(X0)))),multiply(X1,inverse(inverse(multiply(inverse(X0),X0))))),inverse(multiply(inverse(sF0),sF0))),
inference(backward_demodulation,[],[f40,f1694]) ).
fof(f1924,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X2,inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,b2)))),multiply(X0,sF0))))),multiply(X2,inverse(inverse(multiply(inverse(inverse(sF1)),inverse(sF1)))))) = multiply(multiply(inverse(multiply(X4,inverse(multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(inverse(sF1))))))),multiply(X4,inverse(inverse(multiply(inverse(inverse(multiply(inverse(inverse(sF1)),inverse(sF1)))),inverse(multiply(inverse(inverse(sF1)),inverse(sF1)))))))),inverse(multiply(inverse(sF0),sF0))),
inference(backward_demodulation,[],[f884,f1694]) ).
fof(f1927,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(inverse(sF1)))) = multiply(multiply(inverse(multiply(X3,inverse(multiply(inverse(multiply(X2,inverse(multiply(X0,b2)))),multiply(X2,sF0))))),multiply(X3,inverse(inverse(multiply(inverse(inverse(sF1)),inverse(sF1)))))),inverse(multiply(inverse(sF0),sF0))),
inference(backward_demodulation,[],[f46,f1694]) ).
fof(f1963,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X2,inverse(multiply(X0,b2)))),multiply(X2,sF0)) = multiply(multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(inverse(sF1)))),inverse(multiply(inverse(sF0),sF0))),
inference(backward_demodulation,[],[f18,f1694]) ).
fof(f2086,plain,
! [X2,X0,X1] : multiply(multiply(inverse(multiply(multiply(inverse(sF0),multiply(multiply(inverse(sF0),multiply(multiply(inverse(multiply(X1,inverse(sF1))),multiply(X1,sF0)),sF0)),inverse(inverse(sF1)))),inverse(multiply(X2,multiply(inverse(sF0),sF0))))),multiply(inverse(multiply(X0,inverse(multiply(sF1,b2)))),multiply(X0,sF0))),inverse(multiply(inverse(sF0),sF0))) = X2,
inference(backward_demodulation,[],[f1688,f1694]) ).
fof(f2087,plain,
! [X2,X0,X1] : inverse(multiply(inverse(sF0),sF0)) = multiply(multiply(inverse(X1),multiply(multiply(inverse(multiply(multiply(inverse(sF0),multiply(multiply(inverse(sF0),multiply(multiply(inverse(multiply(X2,inverse(sF1))),multiply(X2,sF0)),sF0)),inverse(inverse(sF1)))),inverse(multiply(X1,multiply(inverse(sF0),sF0))))),multiply(inverse(multiply(X0,inverse(multiply(sF1,b2)))),multiply(X0,sF0))),inverse(multiply(inverse(sF0),sF0)))),inverse(multiply(inverse(sF0),sF0))),
inference(backward_demodulation,[],[f1690,f1694]) ).
fof(f2119,plain,
! [X1] : inverse(multiply(inverse(sF0),sF0)) = multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(sF0),sF0))),
inference(backward_demodulation,[],[f2087,f2086]) ).
fof(f2163,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(inverse(sF1)))) = multiply(multiply(inverse(multiply(X3,inverse(multiply(inverse(multiply(X2,inverse(multiply(X0,b2)))),multiply(X2,sF0))))),multiply(X3,inverse(inverse(multiply(inverse(sF0),sF0))))),inverse(multiply(inverse(sF0),sF0))),
inference(forward_demodulation,[],[f1927,f1694]) ).
fof(f2166,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X2,inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,b2)))),multiply(X0,sF0))))),multiply(X2,inverse(inverse(multiply(inverse(inverse(sF1)),inverse(sF1)))))) = multiply(multiply(inverse(multiply(X4,inverse(multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(inverse(sF1))))))),multiply(X4,inverse(inverse(multiply(inverse(sF0),sF0))))),inverse(multiply(inverse(sF0),sF0))),
inference(forward_demodulation,[],[f1924,f1694]) ).
fof(f2227,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(inverse(multiply(multiply(inverse(multiply(multiply(inverse(inverse(X0)),multiply(multiply(inverse(X1),multiply(multiply(inverse(multiply(X2,inverse(multiply(X1,X0)))),multiply(X2,inverse(X0))),inverse(X0))),inverse(X0))),inverse(multiply(X3,multiply(inverse(X0),X0))))),inverse(X0)),inverse(multiply(X4,multiply(inverse(sF0),sF0))))),X3),inverse(multiply(inverse(sF0),sF0))) = X4,
inference(forward_demodulation,[],[f1814,f1694]) ).
fof(f2239,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X0),multiply(multiply(inverse(multiply(multiply(inverse(multiply(X1,inverse(multiply(X2,X3)))),multiply(X1,inverse(X3))),inverse(multiply(X0,multiply(inverse(X3),X3))))),X2),inverse(multiply(inverse(X3),X3)))) = multiply(multiply(inverse(multiply(X4,inverse(inverse(multiply(inverse(X3),X3))))),multiply(X4,inverse(inverse(multiply(inverse(sF0),sF0))))),inverse(multiply(inverse(sF0),sF0))),
inference(forward_demodulation,[],[f1791,f1694]) ).
fof(f2240,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(inverse(multiply(inverse(sF0),sF0))))) = inverse(multiply(multiply(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(sF0),sF0)),X3)))),multiply(X2,inverse(X3))),inverse(multiply(X0,multiply(inverse(X3),X3))))),
inference(forward_demodulation,[],[f1789,f1694]) ).
fof(f2303,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(inverse(multiply(X4,inverse(multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(inverse(sF1))))))),multiply(X4,inverse(inverse(multiply(inverse(sF0),sF0))))),inverse(multiply(inverse(sF0),sF0))) = multiply(inverse(multiply(X2,inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,b2)))),multiply(X0,sF0))))),multiply(X2,inverse(inverse(multiply(inverse(sF0),sF0))))),
inference(forward_demodulation,[],[f2166,f1694]) ).
fof(f2342,plain,
multiply(sF0,b2) = multiply(inverse(sF0),sF0),
inference(superposition,[],[f1694,f5]) ).
fof(f2370,plain,
! [X0,X1] : inverse(X1) = multiply(multiply(inverse(multiply(X0,inverse(multiply(inverse(sF0),sF0)))),multiply(X0,inverse(X1))),inverse(multiply(inverse(sF0),sF0))),
inference(superposition,[],[f1,f1694]) ).
fof(f2386,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2))) = multiply(inverse(multiply(inverse(sF0),sF0)),multiply(inverse(inverse(X1)),inverse(X2))),
inference(superposition,[],[f369,f1694]) ).
fof(f2392,plain,
! [X0,X1] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,sF0)) = multiply(inverse(multiply(inverse(sF0),sF0)),multiply(inverse(inverse(X1)),sF0)),
inference(superposition,[],[f461,f1694]) ).
fof(f2397,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,inverse(multiply(X1,X2)))),multiply(X0,inverse(X2))) = multiply(inverse(multiply(inverse(sF0),sF0)),multiply(inverse(inverse(multiply(X1,X2))),inverse(X2))),
inference(superposition,[],[f68,f1694]) ).
fof(f2405,plain,
! [X0] : multiply(inverse(multiply(inverse(sF0),sF0)),multiply(inverse(inverse(multiply(multiply(X0,inverse(sF1)),b2))),sF0)) = X0,
inference(superposition,[],[f134,f1694]) ).
fof(f2496,plain,
sF1 = multiply(inverse(sF0),sF0),
inference(forward_demodulation,[],[f2342,f7]) ).
fof(f2569,plain,
! [X0] : sF1 = multiply(inverse(X0),X0),
inference(backward_demodulation,[],[f1694,f2496]) ).
fof(f2608,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(inverse(X3)),inverse(multiply(multiply(X0,inverse(multiply(inverse(X3),X3))),X3)))) = multiply(multiply(inverse(multiply(multiply(inverse(multiply(X1,inverse(multiply(X2,inverse(X3))))),multiply(X1,inverse(inverse(X3)))),inverse(X0))),X2),inverse(sF1)),
inference(backward_demodulation,[],[f1840,f2496]) ).
fof(f2609,plain,
! [X2,X0,X1] : inverse(multiply(inverse(sF0),inverse(multiply(multiply(X0,inverse(sF1)),b2)))) = multiply(multiply(inverse(multiply(multiply(inverse(multiply(X1,inverse(multiply(X2,sF0)))),multiply(X1,inverse(sF0))),inverse(X0))),X2),inverse(sF1)),
inference(backward_demodulation,[],[f1847,f2496]) ).
fof(f2620,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(multiply(inverse(multiply(X4,inverse(multiply(X0,inverse(X3))))),multiply(X4,inverse(inverse(X3)))),inverse(X2))),X0) = multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(sF1))),
inference(backward_demodulation,[],[f1873,f2496]) ).
fof(f2622,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X2,inverse(multiply(X0,X3)))),multiply(X2,inverse(X3))) = multiply(multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(inverse(multiply(inverse(X3),X3))))),inverse(sF1)),
inference(backward_demodulation,[],[f1875,f2496]) ).
fof(f2624,plain,
! [X2,X3,X0,X1] : multiply(inverse(X2),multiply(multiply(inverse(multiply(X3,inverse(multiply(X2,X0)))),multiply(X3,inverse(X0))),inverse(X0))) = multiply(multiply(inverse(multiply(X1,inverse(inverse(X0)))),multiply(X1,inverse(inverse(multiply(inverse(X0),X0))))),inverse(sF1)),
inference(backward_demodulation,[],[f1878,f2496]) ).
fof(f2645,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X2,inverse(multiply(X0,b2)))),multiply(X2,sF0)) = multiply(multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(inverse(sF1)))),inverse(sF1)),
inference(backward_demodulation,[],[f1963,f2496]) ).
fof(f2735,plain,
! [X1] : inverse(sF1) = multiply(multiply(inverse(X1),X1),inverse(sF1)),
inference(backward_demodulation,[],[f2119,f2496]) ).
fof(f2760,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(inverse(sF1)))) = multiply(multiply(inverse(multiply(X3,inverse(multiply(inverse(multiply(X2,inverse(multiply(X0,b2)))),multiply(X2,sF0))))),multiply(X3,inverse(inverse(sF1)))),inverse(sF1)),
inference(backward_demodulation,[],[f2163,f2496]) ).
fof(f2792,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(inverse(multiply(multiply(inverse(multiply(multiply(inverse(inverse(X0)),multiply(multiply(inverse(X1),multiply(multiply(inverse(multiply(X2,inverse(multiply(X1,X0)))),multiply(X2,inverse(X0))),inverse(X0))),inverse(X0))),inverse(multiply(X3,multiply(inverse(X0),X0))))),inverse(X0)),inverse(multiply(X4,sF1)))),X3),inverse(sF1)) = X4,
inference(backward_demodulation,[],[f2227,f2496]) ).
fof(f2798,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X0),multiply(multiply(inverse(multiply(multiply(inverse(multiply(X1,inverse(multiply(X2,X3)))),multiply(X1,inverse(X3))),inverse(multiply(X0,multiply(inverse(X3),X3))))),X2),inverse(multiply(inverse(X3),X3)))) = multiply(multiply(inverse(multiply(X4,inverse(inverse(multiply(inverse(X3),X3))))),multiply(X4,inverse(inverse(sF1)))),inverse(sF1)),
inference(backward_demodulation,[],[f2239,f2496]) ).
fof(f2799,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(inverse(sF1)))) = inverse(multiply(multiply(inverse(multiply(X2,inverse(multiply(inverse(sF1),X3)))),multiply(X2,inverse(X3))),inverse(multiply(X0,multiply(inverse(X3),X3))))),
inference(backward_demodulation,[],[f2240,f2496]) ).
fof(f2838,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(inverse(multiply(X4,inverse(multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(inverse(sF1))))))),multiply(X4,inverse(inverse(sF1)))),inverse(sF1)) = multiply(inverse(multiply(X2,inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,b2)))),multiply(X0,sF0))))),multiply(X2,inverse(inverse(sF1)))),
inference(backward_demodulation,[],[f2303,f2496]) ).
fof(f2868,plain,
! [X0,X1] : inverse(X1) = multiply(multiply(inverse(multiply(X0,inverse(sF1))),multiply(X0,inverse(X1))),inverse(sF1)),
inference(backward_demodulation,[],[f2370,f2496]) ).
fof(f2873,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2))) = multiply(inverse(sF1),multiply(inverse(inverse(X1)),inverse(X2))),
inference(backward_demodulation,[],[f2386,f2496]) ).
fof(f2877,plain,
! [X0,X1] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,sF0)) = multiply(inverse(sF1),multiply(inverse(inverse(X1)),sF0)),
inference(backward_demodulation,[],[f2392,f2496]) ).
fof(f2881,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,inverse(multiply(X1,X2)))),multiply(X0,inverse(X2))) = multiply(inverse(sF1),multiply(inverse(inverse(multiply(X1,X2))),inverse(X2))),
inference(backward_demodulation,[],[f2397,f2496]) ).
fof(f2888,plain,
! [X0] : multiply(inverse(sF1),multiply(inverse(inverse(multiply(multiply(X0,inverse(sF1)),b2))),sF0)) = X0,
inference(backward_demodulation,[],[f2405,f2496]) ).
fof(f3085,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))),multiply(X1,inverse(X3))) = multiply(inverse(X0),multiply(multiply(inverse(sF1),multiply(inverse(inverse(multiply(X0,X2))),inverse(X2))),inverse(X3))),
inference(backward_demodulation,[],[f454,f2881]) ).
fof(f3087,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(multiply(inverse(X3),X3)))) = multiply(inverse(multiply(multiply(inverse(sF1),multiply(inverse(inverse(multiply(X0,X3))),inverse(X3))),inverse(X2))),X0),
inference(backward_demodulation,[],[f463,f2881]) ).
fof(f3094,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(multiply(inverse(X0),X0)))) = multiply(inverse(multiply(multiply(inverse(inverse(X0)),multiply(multiply(inverse(X3),multiply(multiply(inverse(sF1),multiply(inverse(inverse(multiply(X3,X0))),inverse(X0))),inverse(X0))),inverse(X0))),inverse(X2))),inverse(X0)),
inference(backward_demodulation,[],[f1127,f2881]) ).
fof(f3115,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(sF1))) = multiply(inverse(multiply(multiply(inverse(sF1),multiply(inverse(inverse(multiply(X0,b2))),sF0)),inverse(X2))),X0),
inference(backward_demodulation,[],[f464,f2877]) ).
fof(f3151,plain,
! [X1] : inverse(X1) = multiply(multiply(inverse(sF1),multiply(inverse(inverse(sF1)),inverse(X1))),inverse(sF1)),
inference(forward_demodulation,[],[f2868,f2873]) ).
fof(f3181,plain,
! [X3,X0,X1,X4] : multiply(multiply(inverse(multiply(X4,inverse(multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(inverse(sF1))))))),multiply(X4,inverse(inverse(sF1)))),inverse(sF1)) = multiply(inverse(sF1),multiply(inverse(inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,b2)))),multiply(X0,sF0)))),inverse(inverse(sF1)))),
inference(forward_demodulation,[],[f2838,f2873]) ).
fof(f3220,plain,
! [X3,X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(inverse(sF1)))) = inverse(multiply(multiply(inverse(sF1),multiply(inverse(inverse(multiply(inverse(sF1),X3))),inverse(X3))),inverse(multiply(X0,multiply(inverse(X3),X3))))),
inference(forward_demodulation,[],[f2799,f2873]) ).
fof(f3221,plain,
! [X2,X3,X0,X1] : multiply(inverse(X0),multiply(multiply(inverse(multiply(multiply(inverse(multiply(X1,inverse(multiply(X2,X3)))),multiply(X1,inverse(X3))),inverse(multiply(X0,multiply(inverse(X3),X3))))),X2),inverse(multiply(inverse(X3),X3)))) = multiply(multiply(inverse(sF1),multiply(inverse(inverse(inverse(multiply(inverse(X3),X3)))),inverse(inverse(sF1)))),inverse(sF1)),
inference(forward_demodulation,[],[f2798,f2873]) ).
fof(f3227,plain,
! [X3,X0,X1,X4] : multiply(multiply(inverse(multiply(multiply(inverse(multiply(multiply(inverse(inverse(X0)),multiply(multiply(inverse(X1),multiply(multiply(inverse(sF1),multiply(inverse(inverse(multiply(X1,X0))),inverse(X0))),inverse(X0))),inverse(X0))),inverse(multiply(X3,multiply(inverse(X0),X0))))),inverse(X0)),inverse(multiply(X4,sF1)))),X3),inverse(sF1)) = X4,
inference(forward_demodulation,[],[f2792,f2873]) ).
fof(f3259,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(inverse(sF1)))) = multiply(multiply(inverse(sF1),multiply(inverse(inverse(multiply(inverse(multiply(X2,inverse(multiply(X0,b2)))),multiply(X2,sF0)))),inverse(inverse(sF1)))),inverse(sF1)),
inference(forward_demodulation,[],[f2760,f2873]) ).
fof(f3373,plain,
! [X2,X0] : multiply(inverse(multiply(X2,inverse(multiply(X0,b2)))),multiply(X2,sF0)) = multiply(multiply(inverse(sF1),multiply(inverse(inverse(X0)),inverse(inverse(sF1)))),inverse(sF1)),
inference(forward_demodulation,[],[f2645,f2873]) ).
fof(f3394,plain,
! [X2,X3,X0] : multiply(inverse(X2),multiply(multiply(inverse(multiply(X3,inverse(multiply(X2,X0)))),multiply(X3,inverse(X0))),inverse(X0))) = multiply(multiply(inverse(sF1),multiply(inverse(inverse(inverse(X0))),inverse(inverse(multiply(inverse(X0),X0))))),inverse(sF1)),
inference(forward_demodulation,[],[f2624,f2873]) ).
fof(f3396,plain,
! [X2,X3,X0] : multiply(inverse(multiply(X2,inverse(multiply(X0,X3)))),multiply(X2,inverse(X3))) = multiply(multiply(inverse(sF1),multiply(inverse(inverse(X0)),inverse(inverse(multiply(inverse(X3),X3))))),inverse(sF1)),
inference(forward_demodulation,[],[f2622,f2873]) ).
fof(f3398,plain,
! [X2,X3,X0,X4] : multiply(inverse(multiply(multiply(inverse(multiply(X4,inverse(multiply(X0,inverse(X3))))),multiply(X4,inverse(inverse(X3)))),inverse(X2))),X0) = multiply(inverse(sF1),multiply(inverse(inverse(X2)),inverse(sF1))),
inference(forward_demodulation,[],[f2620,f2873]) ).
fof(f3409,plain,
! [X2,X0] : inverse(multiply(inverse(sF0),inverse(multiply(multiply(X0,inverse(sF1)),b2)))) = multiply(multiply(inverse(multiply(multiply(inverse(sF1),multiply(inverse(inverse(multiply(X2,sF0))),inverse(sF0))),inverse(X0))),X2),inverse(sF1)),
inference(forward_demodulation,[],[f2609,f2873]) ).
fof(f3410,plain,
! [X2,X3,X0] : inverse(multiply(inverse(inverse(X3)),inverse(multiply(multiply(X0,inverse(multiply(inverse(X3),X3))),X3)))) = multiply(multiply(inverse(multiply(multiply(inverse(sF1),multiply(inverse(inverse(multiply(X2,inverse(X3)))),inverse(inverse(X3)))),inverse(X0))),X2),inverse(sF1)),
inference(forward_demodulation,[],[f2608,f2873]) ).
fof(f3455,plain,
inverse(sF1) = multiply(sF1,inverse(sF1)),
inference(backward_demodulation,[],[f2735,f2569]) ).
fof(f3607,plain,
! [X2,X3,X0] : multiply(inverse(multiply(multiply(inverse(inverse(X0)),multiply(multiply(inverse(X3),multiply(multiply(inverse(sF1),multiply(inverse(inverse(multiply(X3,X0))),inverse(X0))),inverse(X0))),inverse(X0))),inverse(X2))),inverse(X0)) = multiply(inverse(sF1),multiply(inverse(inverse(X2)),inverse(multiply(inverse(X0),X0)))),
inference(forward_demodulation,[],[f3094,f2873]) ).
fof(f3614,plain,
! [X2,X3,X0] : multiply(inverse(multiply(multiply(inverse(sF1),multiply(inverse(inverse(multiply(X0,X3))),inverse(X3))),inverse(X2))),X0) = multiply(inverse(sF1),multiply(inverse(inverse(X2)),inverse(multiply(inverse(X3),X3)))),
inference(forward_demodulation,[],[f3087,f2873]) ).
fof(f3616,plain,
! [X2,X3,X0] : multiply(inverse(X0),multiply(multiply(inverse(sF1),multiply(inverse(inverse(multiply(X0,X2))),inverse(X2))),inverse(X3))) = multiply(inverse(sF1),multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(X3))),
inference(forward_demodulation,[],[f3085,f2873]) ).
fof(f3641,plain,
! [X2,X0] : multiply(inverse(multiply(multiply(inverse(sF1),multiply(inverse(inverse(multiply(X0,b2))),sF0)),inverse(X2))),X0) = multiply(inverse(sF1),multiply(inverse(inverse(X2)),inverse(sF1))),
inference(forward_demodulation,[],[f3115,f2873]) ).
fof(f3681,plain,
! [X3,X1,X4] : multiply(multiply(inverse(multiply(X4,inverse(multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(inverse(sF1))))))),multiply(X4,inverse(inverse(sF1)))),inverse(sF1)) = multiply(inverse(sF1),multiply(inverse(inverse(multiply(inverse(sF1),multiply(inverse(inverse(multiply(X1,b2))),sF0)))),inverse(inverse(sF1)))),
inference(forward_demodulation,[],[f3181,f2877]) ).
fof(f3718,plain,
! [X3,X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(inverse(sF1)))) = inverse(multiply(multiply(inverse(sF1),multiply(inverse(inverse(multiply(inverse(sF1),X3))),inverse(X3))),inverse(multiply(X0,sF1)))),
inference(forward_demodulation,[],[f3220,f2569]) ).
fof(f3719,plain,
! [X2,X3,X0,X1] : multiply(inverse(X0),multiply(multiply(inverse(multiply(multiply(inverse(multiply(X1,inverse(multiply(X2,X3)))),multiply(X1,inverse(X3))),inverse(multiply(X0,sF1)))),X2),inverse(sF1))) = multiply(multiply(inverse(sF1),multiply(inverse(inverse(inverse(sF1))),inverse(inverse(sF1)))),inverse(sF1)),
inference(forward_demodulation,[],[f3221,f2569]) ).
fof(f3725,plain,
! [X3,X0,X1,X4] : multiply(multiply(inverse(multiply(multiply(inverse(multiply(multiply(inverse(inverse(X0)),multiply(multiply(inverse(X1),multiply(multiply(inverse(sF1),multiply(inverse(inverse(multiply(X1,X0))),inverse(X0))),inverse(X0))),inverse(X0))),inverse(multiply(X3,sF1)))),inverse(X0)),inverse(multiply(X4,sF1)))),X3),inverse(sF1)) = X4,
inference(forward_demodulation,[],[f3227,f2569]) ).
fof(f3752,plain,
! [X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(inverse(sF1)))) = multiply(multiply(inverse(sF1),multiply(inverse(inverse(multiply(inverse(sF1),multiply(inverse(inverse(multiply(X0,b2))),sF0)))),inverse(inverse(sF1)))),inverse(sF1)),
inference(forward_demodulation,[],[f3259,f2877]) ).
fof(f3852,plain,
! [X0] : multiply(inverse(sF1),multiply(inverse(inverse(multiply(X0,b2))),sF0)) = multiply(multiply(inverse(sF1),multiply(inverse(inverse(X0)),inverse(inverse(sF1)))),inverse(sF1)),
inference(forward_demodulation,[],[f3373,f2877]) ).
fof(f3873,plain,
! [X2,X3,X0] : multiply(inverse(X2),multiply(multiply(inverse(multiply(X3,inverse(multiply(X2,X0)))),multiply(X3,inverse(X0))),inverse(X0))) = multiply(multiply(inverse(sF1),multiply(inverse(inverse(inverse(X0))),inverse(inverse(sF1)))),inverse(sF1)),
inference(forward_demodulation,[],[f3394,f2569]) ).
fof(f3875,plain,
! [X2,X3,X0] : multiply(inverse(multiply(X2,inverse(multiply(X0,X3)))),multiply(X2,inverse(X3))) = multiply(multiply(inverse(sF1),multiply(inverse(inverse(X0)),inverse(inverse(sF1)))),inverse(sF1)),
inference(forward_demodulation,[],[f3396,f2569]) ).
fof(f3877,plain,
! [X2,X3,X0] : multiply(inverse(sF1),multiply(inverse(inverse(X2)),inverse(sF1))) = multiply(inverse(multiply(multiply(inverse(sF1),multiply(inverse(inverse(multiply(X0,inverse(X3)))),inverse(inverse(X3)))),inverse(X2))),X0),
inference(forward_demodulation,[],[f3398,f2873]) ).
fof(f3888,plain,
! [X2,X3,X0] : multiply(multiply(inverse(multiply(multiply(inverse(sF1),multiply(inverse(inverse(multiply(X2,inverse(X3)))),inverse(inverse(X3)))),inverse(X0))),X2),inverse(sF1)) = inverse(multiply(inverse(inverse(X3)),inverse(multiply(multiply(X0,inverse(sF1)),X3)))),
inference(forward_demodulation,[],[f3410,f2569]) ).
fof(f4047,plain,
! [X2,X3,X0] : multiply(inverse(multiply(multiply(inverse(inverse(X0)),multiply(multiply(inverse(X3),multiply(multiply(inverse(sF1),multiply(inverse(inverse(multiply(X3,X0))),inverse(X0))),inverse(X0))),inverse(X0))),inverse(X2))),inverse(X0)) = multiply(inverse(sF1),multiply(inverse(inverse(X2)),inverse(sF1))),
inference(forward_demodulation,[],[f3607,f2569]) ).
fof(f4052,plain,
! [X2,X3,X0] : multiply(inverse(multiply(multiply(inverse(sF1),multiply(inverse(inverse(multiply(X0,X3))),inverse(X3))),inverse(X2))),X0) = multiply(inverse(sF1),multiply(inverse(inverse(X2)),inverse(sF1))),
inference(forward_demodulation,[],[f3614,f2569]) ).
fof(f4054,plain,
! [X2,X3,X0] : multiply(inverse(X0),multiply(multiply(inverse(sF1),multiply(inverse(inverse(multiply(X0,X2))),inverse(X2))),inverse(X3))) = multiply(inverse(sF1),multiply(inverse(inverse(sF1)),inverse(X3))),
inference(forward_demodulation,[],[f3616,f2569]) ).
fof(f4110,plain,
! [X3,X1] : multiply(inverse(sF1),multiply(inverse(inverse(multiply(inverse(sF1),multiply(inverse(inverse(multiply(X1,b2))),sF0)))),inverse(inverse(sF1)))) = multiply(multiply(inverse(sF1),multiply(inverse(inverse(multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(inverse(sF1)))))),inverse(inverse(sF1)))),inverse(sF1)),
inference(forward_demodulation,[],[f3681,f2873]) ).
fof(f4134,plain,
! [X3,X0] : multiply(inverse(sF1),multiply(inverse(inverse(X0)),inverse(inverse(sF1)))) = inverse(multiply(multiply(inverse(sF1),multiply(inverse(inverse(multiply(inverse(sF1),X3))),inverse(X3))),inverse(multiply(X0,sF1)))),
inference(forward_demodulation,[],[f3718,f2873]) ).
fof(f4135,plain,
! [X2,X3,X0,X1] : multiply(inverse(X0),multiply(multiply(inverse(multiply(multiply(inverse(multiply(X1,inverse(multiply(X2,X3)))),multiply(X1,inverse(X3))),inverse(multiply(X0,sF1)))),X2),inverse(sF1))) = multiply(multiply(inverse(sF1),sF1),inverse(sF1)),
inference(forward_demodulation,[],[f3719,f2569]) ).
fof(f4163,plain,
! [X0] : multiply(inverse(sF1),multiply(inverse(inverse(X0)),inverse(inverse(sF1)))) = multiply(multiply(inverse(sF1),multiply(inverse(inverse(multiply(inverse(sF1),multiply(inverse(inverse(multiply(X0,b2))),sF0)))),inverse(inverse(sF1)))),inverse(sF1)),
inference(forward_demodulation,[],[f3752,f2873]) ).
fof(f4280,plain,
! [X2,X3,X0] : multiply(inverse(X2),multiply(multiply(inverse(multiply(X3,inverse(multiply(X2,X0)))),multiply(X3,inverse(X0))),inverse(X0))) = multiply(inverse(sF1),multiply(inverse(inverse(multiply(inverse(X0),b2))),sF0)),
inference(forward_demodulation,[],[f3873,f3852]) ).
fof(f4282,plain,
! [X2,X3,X0] : multiply(inverse(multiply(X2,inverse(multiply(X0,X3)))),multiply(X2,inverse(X3))) = multiply(inverse(sF1),multiply(inverse(inverse(multiply(X0,b2))),sF0)),
inference(forward_demodulation,[],[f3875,f3852]) ).
fof(f4293,plain,
! [X3,X0] : inverse(multiply(inverse(inverse(X3)),inverse(multiply(multiply(X0,inverse(sF1)),X3)))) = multiply(multiply(inverse(sF1),multiply(inverse(inverse(X0)),inverse(sF1))),inverse(sF1)),
inference(forward_demodulation,[],[f3888,f3877]) ).
fof(f4399,plain,
! [X3,X4] : multiply(multiply(inverse(multiply(multiply(inverse(sF1),multiply(inverse(inverse(multiply(X3,sF1))),inverse(sF1))),inverse(multiply(X4,sF1)))),X3),inverse(sF1)) = X4,
inference(backward_demodulation,[],[f3725,f4047]) ).
fof(f4417,plain,
! [X0] : inverse(multiply(inverse(sF0),inverse(multiply(multiply(X0,inverse(sF1)),b2)))) = multiply(multiply(inverse(sF1),multiply(inverse(inverse(X0)),inverse(sF1))),inverse(sF1)),
inference(backward_demodulation,[],[f3409,f4052]) ).
fof(f4456,plain,
! [X3,X1] : multiply(inverse(sF1),multiply(inverse(inverse(multiply(inverse(sF1),multiply(inverse(inverse(multiply(X1,b2))),sF0)))),inverse(inverse(sF1)))) = multiply(inverse(sF1),multiply(inverse(inverse(multiply(multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(inverse(sF1)))),b2))),sF0)),
inference(forward_demodulation,[],[f4110,f3852]) ).
fof(f4475,plain,
! [X2,X3,X0,X1] : multiply(sF1,inverse(sF1)) = multiply(inverse(X0),multiply(multiply(inverse(multiply(multiply(inverse(multiply(X1,inverse(multiply(X2,X3)))),multiply(X1,inverse(X3))),inverse(multiply(X0,sF1)))),X2),inverse(sF1))),
inference(forward_demodulation,[],[f4135,f2569]) ).
fof(f4496,plain,
! [X0] : multiply(inverse(sF1),multiply(inverse(inverse(X0)),inverse(inverse(sF1)))) = multiply(inverse(sF1),multiply(inverse(inverse(multiply(multiply(inverse(sF1),multiply(inverse(inverse(multiply(X0,b2))),sF0)),b2))),sF0)),
inference(forward_demodulation,[],[f4163,f3852]) ).
fof(f4586,plain,
! [X2,X0] : multiply(inverse(X2),multiply(multiply(inverse(sF1),multiply(inverse(inverse(multiply(X2,X0))),inverse(X0))),inverse(X0))) = multiply(inverse(sF1),multiply(inverse(inverse(multiply(inverse(X0),b2))),sF0)),
inference(forward_demodulation,[],[f4280,f2873]) ).
fof(f4588,plain,
! [X3,X0] : multiply(inverse(sF1),multiply(inverse(inverse(multiply(X0,b2))),sF0)) = multiply(inverse(sF1),multiply(inverse(inverse(multiply(X0,X3))),inverse(X3))),
inference(forward_demodulation,[],[f4282,f2873]) ).
fof(f4659,plain,
! [X4] : multiply(multiply(inverse(sF1),multiply(inverse(inverse(multiply(X4,sF1))),inverse(sF1))),inverse(sF1)) = X4,
inference(forward_demodulation,[],[f4399,f4052]) ).
fof(f4662,plain,
! [X3,X0] : inverse(multiply(inverse(sF0),inverse(multiply(multiply(X0,inverse(sF1)),b2)))) = inverse(multiply(inverse(inverse(X3)),inverse(multiply(multiply(X0,inverse(sF1)),X3)))),
inference(backward_demodulation,[],[f4293,f4417]) ).
fof(f4686,plain,
! [X1] : multiply(inverse(sF1),multiply(inverse(inverse(multiply(inverse(sF1),multiply(inverse(inverse(multiply(X1,b2))),sF0)))),inverse(inverse(sF1)))) = multiply(inverse(sF1),multiply(inverse(inverse(multiply(multiply(inverse(sF1),multiply(inverse(inverse(X1)),inverse(inverse(sF1)))),b2))),sF0)),
inference(forward_demodulation,[],[f4456,f2873]) ).
fof(f4713,plain,
! [X2,X3,X0] : multiply(sF1,inverse(sF1)) = multiply(inverse(X0),multiply(multiply(inverse(multiply(multiply(inverse(sF1),multiply(inverse(inverse(multiply(X2,X3))),inverse(X3))),inverse(multiply(X0,sF1)))),X2),inverse(sF1))),
inference(forward_demodulation,[],[f4475,f2873]) ).
fof(f4796,plain,
! [X0] : multiply(inverse(sF1),multiply(inverse(inverse(sF1)),inverse(X0))) = multiply(inverse(sF1),multiply(inverse(inverse(multiply(inverse(X0),b2))),sF0)),
inference(forward_demodulation,[],[f4586,f4054]) ).
fof(f4800,plain,
! [X0] : multiply(inverse(sF1),multiply(inverse(inverse(X0)),inverse(inverse(sF1)))) = inverse(multiply(multiply(inverse(sF1),multiply(inverse(inverse(multiply(inverse(sF1),b2))),sF0)),inverse(multiply(X0,sF1)))),
inference(backward_demodulation,[],[f4134,f4588]) ).
fof(f4854,plain,
! [X4] : inverse(multiply(inverse(sF0),inverse(multiply(multiply(multiply(X4,sF1),inverse(sF1)),b2)))) = X4,
inference(forward_demodulation,[],[f4659,f4417]) ).
fof(f4894,plain,
! [X2,X0] : multiply(sF1,inverse(sF1)) = multiply(inverse(X0),multiply(multiply(inverse(multiply(multiply(inverse(sF1),multiply(inverse(inverse(multiply(X2,b2))),sF0)),inverse(multiply(X0,sF1)))),X2),inverse(sF1))),
inference(forward_demodulation,[],[f4713,f4588]) ).
fof(f4955,plain,
! [X0] : multiply(inverse(sF1),multiply(inverse(inverse(X0)),inverse(inverse(sF1)))) = inverse(multiply(multiply(inverse(sF1),multiply(inverse(inverse(sF1)),inverse(sF1))),inverse(multiply(X0,sF1)))),
inference(forward_demodulation,[],[f4800,f4796]) ).
fof(f5001,plain,
! [X0] : multiply(sF1,inverse(sF1)) = multiply(inverse(X0),multiply(multiply(inverse(sF1),multiply(inverse(inverse(multiply(X0,sF1))),inverse(sF1))),inverse(sF1))),
inference(forward_demodulation,[],[f4894,f3641]) ).
fof(f5027,plain,
! [X0] : multiply(inverse(sF1),multiply(inverse(inverse(X0)),inverse(inverse(sF1)))) = inverse(multiply(multiply(inverse(sF1),sF1),inverse(multiply(X0,sF1)))),
inference(forward_demodulation,[],[f4955,f2569]) ).
fof(f5052,plain,
! [X0] : multiply(sF1,inverse(sF1)) = multiply(inverse(X0),inverse(multiply(inverse(sF0),inverse(multiply(multiply(multiply(X0,sF1),inverse(sF1)),b2))))),
inference(forward_demodulation,[],[f5001,f4417]) ).
fof(f5062,plain,
! [X0] : multiply(inverse(sF1),multiply(inverse(inverse(X0)),inverse(inverse(sF1)))) = inverse(multiply(sF1,inverse(multiply(X0,sF1)))),
inference(forward_demodulation,[],[f5027,f2569]) ).
fof(f5073,plain,
! [X0] : multiply(inverse(X0),X0) = multiply(sF1,inverse(sF1)),
inference(forward_demodulation,[],[f5052,f4854]) ).
fof(f5077,plain,
! [X0] : multiply(inverse(sF1),multiply(inverse(inverse(multiply(X0,b2))),sF0)) = multiply(inverse(multiply(sF1,inverse(multiply(X0,sF1)))),inverse(sF1)),
inference(backward_demodulation,[],[f3852,f5062]) ).
fof(f5085,plain,
! [X0] : multiply(inverse(sF1),multiply(inverse(inverse(multiply(multiply(inverse(sF1),multiply(inverse(inverse(multiply(X0,b2))),sF0)),b2))),sF0)) = inverse(multiply(sF1,inverse(multiply(X0,sF1)))),
inference(backward_demodulation,[],[f4496,f5062]) ).
fof(f5086,plain,
! [X1] : multiply(inverse(sF1),multiply(inverse(inverse(multiply(inverse(sF1),multiply(inverse(inverse(multiply(X1,b2))),sF0)))),inverse(inverse(sF1)))) = multiply(inverse(sF1),multiply(inverse(inverse(multiply(inverse(multiply(sF1,inverse(multiply(X1,sF1)))),b2))),sF0)),
inference(backward_demodulation,[],[f4686,f5062]) ).
fof(f5104,plain,
! [X0] : multiply(inverse(X0),X0) = inverse(sF1),
inference(forward_demodulation,[],[f5073,f3455]) ).
fof(f5108,plain,
! [X1] : multiply(inverse(sF1),multiply(inverse(inverse(multiply(inverse(sF1),multiply(inverse(inverse(multiply(X1,b2))),sF0)))),inverse(inverse(sF1)))) = multiply(inverse(sF1),multiply(inverse(inverse(sF1)),inverse(multiply(sF1,inverse(multiply(X1,sF1)))))),
inference(forward_demodulation,[],[f5086,f4796]) ).
fof(f5113,plain,
sF1 = inverse(sF1),
inference(forward_demodulation,[],[f5104,f2569]) ).
fof(f5114,plain,
! [X1] : multiply(inverse(sF1),multiply(inverse(inverse(sF1)),inverse(multiply(sF1,inverse(multiply(X1,sF1)))))) = inverse(multiply(sF1,inverse(multiply(multiply(inverse(sF1),multiply(inverse(inverse(multiply(X1,b2))),sF0)),sF1)))),
inference(forward_demodulation,[],[f5108,f5062]) ).
fof(f5115,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2))) = multiply(sF1,multiply(inverse(inverse(X1)),inverse(X2))),
inference(backward_demodulation,[],[f2873,f5113]) ).
fof(f5118,plain,
! [X0] : multiply(sF1,multiply(inverse(inverse(multiply(multiply(X0,sF1),b2))),sF0)) = X0,
inference(backward_demodulation,[],[f2888,f5113]) ).
fof(f5125,plain,
! [X1] : inverse(X1) = multiply(multiply(sF1,multiply(inverse(sF1),inverse(X1))),sF1),
inference(backward_demodulation,[],[f3151,f5113]) ).
fof(f5130,plain,
sF1 = multiply(sF1,sF1),
inference(backward_demodulation,[],[f3455,f5113]) ).
fof(f5152,plain,
! [X0] : inverse(multiply(inverse(sF0),inverse(multiply(multiply(X0,sF1),b2)))) = multiply(multiply(sF1,multiply(inverse(inverse(X0)),sF1)),sF1),
inference(backward_demodulation,[],[f4417,f5113]) ).
fof(f5160,plain,
! [X3,X0] : multiply(sF1,multiply(inverse(inverse(multiply(X0,b2))),sF0)) = multiply(sF1,multiply(inverse(inverse(multiply(X0,X3))),inverse(X3))),
inference(backward_demodulation,[],[f4588,f5113]) ).
fof(f5162,plain,
! [X3,X0] : inverse(multiply(inverse(sF0),inverse(multiply(multiply(X0,sF1),b2)))) = inverse(multiply(inverse(inverse(X3)),inverse(multiply(multiply(X0,sF1),X3)))),
inference(backward_demodulation,[],[f4662,f5113]) ).
fof(f5173,plain,
! [X0] : inverse(multiply(sF1,inverse(multiply(X0,sF1)))) = multiply(sF1,multiply(inverse(inverse(X0)),inverse(sF1))),
inference(backward_demodulation,[],[f5062,f5113]) ).
fof(f5174,plain,
! [X0] : multiply(sF1,multiply(inverse(inverse(multiply(X0,b2))),sF0)) = multiply(inverse(multiply(sF1,inverse(multiply(X0,sF1)))),sF1),
inference(backward_demodulation,[],[f5077,f5113]) ).
fof(f5179,plain,
! [X0] : inverse(multiply(sF1,inverse(multiply(X0,sF1)))) = multiply(sF1,multiply(inverse(inverse(multiply(multiply(sF1,multiply(inverse(inverse(multiply(X0,b2))),sF0)),b2))),sF0)),
inference(backward_demodulation,[],[f5085,f5113]) ).
fof(f5196,plain,
! [X1] : inverse(multiply(sF1,inverse(multiply(multiply(sF1,multiply(inverse(inverse(multiply(X1,b2))),sF0)),sF1)))) = multiply(sF1,multiply(inverse(sF1),inverse(multiply(sF1,inverse(multiply(X1,sF1)))))),
inference(forward_demodulation,[],[f5114,f5113]) ).
fof(f5214,plain,
! [X0] : inverse(multiply(sF1,inverse(multiply(X0,sF1)))) = multiply(sF1,multiply(inverse(inverse(X0)),sF1)),
inference(forward_demodulation,[],[f5173,f5113]) ).
fof(f5231,plain,
! [X3,X0] : multiply(multiply(sF1,multiply(inverse(inverse(X0)),sF1)),sF1) = inverse(multiply(inverse(inverse(X3)),inverse(multiply(multiply(X0,sF1),X3)))),
inference(backward_demodulation,[],[f5162,f5152]) ).
fof(f5242,plain,
! [X1] : inverse(X1) = multiply(multiply(sF1,multiply(sF1,inverse(X1))),sF1),
inference(forward_demodulation,[],[f5125,f5113]) ).
fof(f5248,plain,
! [X1] : inverse(multiply(sF1,inverse(multiply(multiply(sF1,multiply(inverse(inverse(multiply(X1,b2))),sF0)),sF1)))) = multiply(sF1,multiply(sF1,inverse(multiply(sF1,inverse(multiply(X1,sF1)))))),
inference(forward_demodulation,[],[f5196,f5113]) ).
fof(f5258,plain,
! [X0] : multiply(sF1,multiply(inverse(inverse(multiply(X0,b2))),sF0)) = multiply(multiply(sF1,multiply(inverse(inverse(X0)),sF1)),sF1),
inference(backward_demodulation,[],[f5174,f5214]) ).
fof(f5261,plain,
! [X0] : multiply(sF1,multiply(inverse(inverse(X0)),sF1)) = multiply(sF1,multiply(inverse(inverse(multiply(multiply(sF1,multiply(inverse(inverse(multiply(X0,b2))),sF0)),b2))),sF0)),
inference(backward_demodulation,[],[f5179,f5214]) ).
fof(f5282,plain,
! [X1] : inverse(multiply(sF1,inverse(multiply(multiply(sF1,multiply(inverse(inverse(multiply(X1,b2))),sF0)),sF1)))) = multiply(sF1,multiply(sF1,multiply(sF1,multiply(inverse(inverse(X1)),sF1)))),
inference(forward_demodulation,[],[f5248,f5214]) ).
fof(f5291,plain,
! [X3,X0] : multiply(sF1,multiply(inverse(inverse(multiply(X0,b2))),sF0)) = inverse(multiply(inverse(inverse(X3)),inverse(multiply(multiply(X0,sF1),X3)))),
inference(backward_demodulation,[],[f5231,f5258]) ).
fof(f5298,plain,
! [X1] : multiply(sF1,multiply(sF1,multiply(sF1,multiply(inverse(inverse(X1)),sF1)))) = multiply(sF1,multiply(inverse(inverse(multiply(sF1,multiply(inverse(inverse(multiply(X1,b2))),sF0)))),sF1)),
inference(forward_demodulation,[],[f5282,f5214]) ).
fof(f5328,plain,
! [X0] : multiply(sF1,multiply(inverse(inverse(multiply(X0,b2))),sF0)) = multiply(sF1,multiply(inverse(inverse(multiply(X0,sF1))),sF1)),
inference(superposition,[],[f5160,f5113]) ).
fof(f5332,plain,
! [X3,X0] : multiply(sF1,multiply(inverse(inverse(multiply(X0,X3))),inverse(X3))) = multiply(sF1,multiply(inverse(inverse(multiply(X0,sF1))),sF1)),
inference(backward_demodulation,[],[f5160,f5328]) ).
fof(f5338,plain,
! [X0] : multiply(multiply(sF1,multiply(inverse(inverse(X0)),sF1)),sF1) = multiply(sF1,multiply(inverse(inverse(multiply(X0,sF1))),sF1)),
inference(backward_demodulation,[],[f5258,f5328]) ).
fof(f5341,plain,
! [X0] : multiply(sF1,multiply(inverse(inverse(X0)),sF1)) = multiply(sF1,multiply(inverse(inverse(multiply(multiply(sF1,multiply(inverse(inverse(multiply(X0,sF1))),sF1)),b2))),sF0)),
inference(backward_demodulation,[],[f5261,f5328]) ).
fof(f5342,plain,
! [X3,X0] : inverse(multiply(inverse(inverse(X3)),inverse(multiply(multiply(X0,sF1),X3)))) = multiply(sF1,multiply(inverse(inverse(multiply(X0,sF1))),sF1)),
inference(backward_demodulation,[],[f5291,f5328]) ).
fof(f5344,plain,
! [X1] : multiply(sF1,multiply(sF1,multiply(sF1,multiply(inverse(inverse(X1)),sF1)))) = multiply(sF1,multiply(inverse(inverse(multiply(sF1,multiply(inverse(inverse(multiply(X1,sF1))),sF1)))),sF1)),
inference(backward_demodulation,[],[f5298,f5328]) ).
fof(f5345,plain,
! [X0] : multiply(sF1,multiply(inverse(inverse(multiply(multiply(X0,sF1),sF1))),sF1)) = X0,
inference(backward_demodulation,[],[f5118,f5328]) ).
fof(f5359,plain,
! [X0] : multiply(sF1,multiply(inverse(inverse(X0)),sF1)) = multiply(sF1,multiply(inverse(inverse(multiply(multiply(sF1,multiply(inverse(inverse(multiply(X0,sF1))),sF1)),sF1))),sF1)),
inference(forward_demodulation,[],[f5341,f5328]) ).
fof(f5368,plain,
! [X0] : multiply(sF1,multiply(inverse(inverse(X0)),sF1)) = multiply(sF1,multiply(inverse(inverse(multiply(sF1,multiply(inverse(inverse(multiply(multiply(X0,sF1),sF1))),sF1)))),sF1)),
inference(forward_demodulation,[],[f5359,f5338]) ).
fof(f5375,plain,
! [X0] : multiply(sF1,multiply(inverse(inverse(X0)),sF1)) = multiply(sF1,multiply(sF1,multiply(sF1,multiply(inverse(inverse(multiply(X0,sF1))),sF1)))),
inference(forward_demodulation,[],[f5368,f5344]) ).
fof(f5456,plain,
! [X0,X1] : multiply(sF1,multiply(inverse(sF1),inverse(X1))) = multiply(inverse(multiply(X0,sF1)),multiply(X0,inverse(X1))),
inference(superposition,[],[f5115,f5113]) ).
fof(f5467,plain,
! [X0,X1] : multiply(sF1,multiply(sF1,inverse(X1))) = multiply(inverse(multiply(X0,sF1)),multiply(X0,inverse(X1))),
inference(forward_demodulation,[],[f5456,f5113]) ).
fof(f5501,plain,
! [X0] : multiply(sF1,multiply(sF1,inverse(X0))) = multiply(inverse(multiply(inverse(inverse(X0)),sF1)),sF1),
inference(superposition,[],[f5467,f2569]) ).
fof(f5536,plain,
! [X0] : multiply(sF1,multiply(inverse(inverse(X0)),sF1)) = multiply(multiply(sF1,multiply(sF1,multiply(sF1,multiply(inverse(inverse(X0)),sF1)))),sF1),
inference(superposition,[],[f5242,f5214]) ).
fof(f5566,plain,
! [X0] : multiply(sF1,multiply(inverse(inverse(multiply(X0,sF1))),sF1)) = multiply(sF1,multiply(sF1,X0)),
inference(superposition,[],[f5375,f5345]) ).
fof(f5573,plain,
! [X3,X0] : multiply(sF1,multiply(inverse(inverse(multiply(X0,X3))),inverse(X3))) = multiply(sF1,multiply(sF1,X0)),
inference(backward_demodulation,[],[f5332,f5566]) ).
fof(f5579,plain,
! [X0] : multiply(multiply(sF1,multiply(inverse(inverse(X0)),sF1)),sF1) = multiply(sF1,multiply(sF1,X0)),
inference(backward_demodulation,[],[f5338,f5566]) ).
fof(f5582,plain,
! [X3,X0] : inverse(multiply(inverse(inverse(X3)),inverse(multiply(multiply(X0,sF1),X3)))) = multiply(sF1,multiply(sF1,X0)),
inference(backward_demodulation,[],[f5342,f5566]) ).
fof(f5584,plain,
! [X1] : multiply(sF1,multiply(sF1,multiply(sF1,multiply(inverse(inverse(X1)),sF1)))) = multiply(sF1,multiply(inverse(inverse(multiply(sF1,multiply(sF1,X1)))),sF1)),
inference(backward_demodulation,[],[f5344,f5566]) ).
fof(f5585,plain,
! [X0] : multiply(sF1,multiply(inverse(inverse(X0)),sF1)) = multiply(sF1,multiply(sF1,multiply(sF1,multiply(sF1,X0)))),
inference(backward_demodulation,[],[f5375,f5566]) ).
fof(f5591,plain,
! [X0] : multiply(sF1,multiply(sF1,multiply(X0,sF1))) = X0,
inference(backward_demodulation,[],[f5345,f5566]) ).
fof(f5604,plain,
! [X0] : multiply(sF1,multiply(inverse(inverse(X0)),sF1)) = multiply(multiply(sF1,inverse(inverse(X0))),sF1),
inference(backward_demodulation,[],[f5536,f5591]) ).
fof(f5610,plain,
! [X1] : multiply(sF1,multiply(inverse(inverse(multiply(sF1,multiply(sF1,X1)))),sF1)) = multiply(sF1,inverse(inverse(X1))),
inference(forward_demodulation,[],[f5584,f5591]) ).
fof(f5707,plain,
! [X0] : multiply(sF1,multiply(sF1,multiply(sF1,X0))) = multiply(sF1,multiply(inverse(inverse(multiply(sF1,multiply(X0,sF1)))),sF1)),
inference(superposition,[],[f5585,f5591]) ).
fof(f5711,plain,
! [X0] : multiply(sF1,multiply(sF1,multiply(inverse(inverse(X0)),sF1))) = multiply(sF1,multiply(inverse(inverse(multiply(sF1,X0))),sF1)),
inference(superposition,[],[f5585,f5585]) ).
fof(f5716,plain,
! [X0] : inverse(inverse(X0)) = multiply(sF1,multiply(inverse(inverse(multiply(sF1,X0))),sF1)),
inference(forward_demodulation,[],[f5711,f5591]) ).
fof(f5723,plain,
! [X1] : inverse(inverse(multiply(sF1,X1))) = multiply(sF1,inverse(inverse(X1))),
inference(backward_demodulation,[],[f5610,f5716]) ).
fof(f5724,plain,
! [X0] : inverse(inverse(multiply(X0,sF1))) = multiply(sF1,multiply(sF1,multiply(sF1,X0))),
inference(backward_demodulation,[],[f5707,f5716]) ).
fof(f5760,plain,
! [X0] : multiply(sF1,multiply(sF1,multiply(sF1,X0))) = multiply(multiply(sF1,multiply(multiply(sF1,inverse(inverse(X0))),sF1)),sF1),
inference(superposition,[],[f5579,f5723]) ).
fof(f5761,plain,
! [X0] : sF1 = multiply(multiply(sF1,inverse(inverse(X0))),inverse(multiply(sF1,X0))),
inference(superposition,[],[f2569,f5723]) ).
fof(f5775,plain,
! [X0] : multiply(sF1,multiply(sF1,multiply(sF1,X0))) = multiply(multiply(sF1,multiply(sF1,multiply(inverse(inverse(X0)),sF1))),sF1),
inference(forward_demodulation,[],[f5760,f5604]) ).
fof(f5786,plain,
! [X0] : multiply(inverse(inverse(X0)),sF1) = multiply(sF1,multiply(sF1,multiply(sF1,X0))),
inference(forward_demodulation,[],[f5775,f5591]) ).
fof(f5794,plain,
! [X0] : inverse(inverse(multiply(X0,sF1))) = multiply(inverse(inverse(X0)),sF1),
inference(backward_demodulation,[],[f5724,f5786]) ).
fof(f5798,plain,
! [X0] : multiply(sF1,multiply(sF1,X0)) = multiply(sF1,multiply(multiply(inverse(inverse(X0)),sF1),sF1)),
inference(backward_demodulation,[],[f5566,f5794]) ).
fof(f5820,plain,
! [X0] : multiply(sF1,multiply(sF1,multiply(X0,sF1))) = multiply(multiply(sF1,multiply(multiply(inverse(inverse(X0)),sF1),sF1)),sF1),
inference(superposition,[],[f5579,f5794]) ).
fof(f5832,plain,
! [X0] : multiply(sF1,multiply(sF1,multiply(X0,sF1))) = multiply(multiply(sF1,multiply(sF1,X0)),sF1),
inference(forward_demodulation,[],[f5820,f5798]) ).
fof(f5842,plain,
! [X0] : multiply(multiply(sF1,multiply(sF1,X0)),sF1) = X0,
inference(forward_demodulation,[],[f5832,f5591]) ).
fof(f5860,plain,
a2 = multiply(multiply(sF1,sF2),sF1),
inference(superposition,[],[f5842,f9]) ).
fof(f5863,plain,
! [X0,X1] : multiply(inverse(inverse(multiply(X0,X1))),inverse(X1)) = multiply(multiply(sF1,multiply(sF1,multiply(sF1,X0))),sF1),
inference(superposition,[],[f5842,f5573]) ).
fof(f5864,plain,
! [X0] : multiply(sF1,multiply(X0,sF1)) = multiply(multiply(sF1,X0),sF1),
inference(superposition,[],[f5842,f5591]) ).
fof(f5866,plain,
! [X0] : inverse(multiply(sF1,inverse(X0))) = multiply(sF1,multiply(inverse(inverse(multiply(sF1,multiply(sF1,X0)))),sF1)),
inference(superposition,[],[f5214,f5842]) ).
fof(f5870,plain,
! [X0] : inverse(multiply(sF1,inverse(X0))) = multiply(sF1,multiply(multiply(sF1,inverse(inverse(multiply(sF1,X0)))),sF1)),
inference(forward_demodulation,[],[f5866,f5723]) ).
fof(f5880,plain,
! [X0,X1] : multiply(inverse(inverse(multiply(X0,X1))),inverse(X1)) = multiply(sF1,multiply(multiply(sF1,multiply(sF1,X0)),sF1)),
inference(forward_demodulation,[],[f5863,f5864]) ).
fof(f5883,plain,
a2 = multiply(sF1,multiply(sF2,sF1)),
inference(forward_demodulation,[],[f5860,f5864]) ).
fof(f5885,plain,
! [X0] : inverse(multiply(sF1,inverse(X0))) = multiply(sF1,multiply(sF1,multiply(inverse(inverse(multiply(sF1,X0))),sF1))),
inference(forward_demodulation,[],[f5870,f5864]) ).
fof(f5888,plain,
! [X0,X1] : multiply(inverse(inverse(multiply(X0,X1))),inverse(X1)) = multiply(sF1,multiply(sF1,multiply(multiply(sF1,X0),sF1))),
inference(forward_demodulation,[],[f5880,f5864]) ).
fof(f5892,plain,
! [X0] : inverse(inverse(multiply(sF1,X0))) = inverse(multiply(sF1,inverse(X0))),
inference(forward_demodulation,[],[f5885,f5591]) ).
fof(f5894,plain,
! [X0,X1] : multiply(sF1,X0) = multiply(inverse(inverse(multiply(X0,X1))),inverse(X1)),
inference(forward_demodulation,[],[f5888,f5591]) ).
fof(f5896,plain,
! [X0] : inverse(multiply(sF1,inverse(X0))) = multiply(sF1,inverse(inverse(X0))),
inference(forward_demodulation,[],[f5892,f5723]) ).
fof(f5938,plain,
! [X0] : multiply(sF1,X0) = multiply(inverse(inverse(multiply(X0,sF1))),sF1),
inference(superposition,[],[f5894,f5113]) ).
fof(f5944,plain,
! [X0] : multiply(sF1,X0) = multiply(multiply(inverse(inverse(X0)),sF1),sF1),
inference(forward_demodulation,[],[f5938,f5794]) ).
fof(f6052,plain,
! [X0] : multiply(sF1,sF1) = inverse(multiply(inverse(inverse(X0)),inverse(multiply(sF1,X0)))),
inference(superposition,[],[f5582,f5130]) ).
fof(f6067,plain,
! [X0] : sF1 = inverse(multiply(inverse(inverse(X0)),inverse(multiply(sF1,X0)))),
inference(forward_demodulation,[],[f6052,f5130]) ).
fof(f6100,plain,
! [X0] : multiply(sF1,inverse(inverse(X0))) = multiply(inverse(sF1),inverse(inverse(multiply(sF1,X0)))),
inference(superposition,[],[f5894,f6067]) ).
fof(f6107,plain,
! [X0,X1] : multiply(sF1,multiply(sF1,X1)) = inverse(multiply(inverse(sF1),inverse(multiply(multiply(X1,sF1),multiply(inverse(inverse(X0)),inverse(multiply(sF1,X0))))))),
inference(superposition,[],[f5582,f6067]) ).
fof(f6109,plain,
! [X0,X1] : multiply(sF1,multiply(sF1,X1)) = inverse(multiply(sF1,inverse(multiply(multiply(X1,sF1),multiply(inverse(inverse(X0)),inverse(multiply(sF1,X0))))))),
inference(forward_demodulation,[],[f6107,f5113]) ).
fof(f6113,plain,
! [X0] : multiply(sF1,inverse(inverse(X0))) = multiply(inverse(sF1),multiply(sF1,inverse(inverse(X0)))),
inference(forward_demodulation,[],[f6100,f5723]) ).
fof(f6125,plain,
! [X0,X1] : multiply(sF1,multiply(sF1,X1)) = multiply(sF1,inverse(inverse(multiply(multiply(X1,sF1),multiply(inverse(inverse(X0)),inverse(multiply(sF1,X0))))))),
inference(forward_demodulation,[],[f6109,f5896]) ).
fof(f6127,plain,
! [X0] : multiply(sF1,inverse(inverse(X0))) = multiply(sF1,multiply(sF1,inverse(inverse(X0)))),
inference(forward_demodulation,[],[f6113,f5113]) ).
fof(f6169,plain,
! [X0] : multiply(sF1,inverse(multiply(sF1,X0))) = multiply(multiply(inverse(multiply(sF1,inverse(inverse(X0)))),sF1),sF1),
inference(superposition,[],[f5944,f5723]) ).
fof(f6170,plain,
! [X0] : multiply(sF1,inverse(multiply(X0,sF1))) = multiply(multiply(inverse(multiply(inverse(inverse(X0)),sF1)),sF1),sF1),
inference(superposition,[],[f5944,f5794]) ).
fof(f6187,plain,
! [X0] : multiply(sF1,inverse(multiply(X0,sF1))) = multiply(multiply(sF1,multiply(sF1,inverse(X0))),sF1),
inference(forward_demodulation,[],[f6170,f5501]) ).
fof(f6188,plain,
! [X0] : multiply(sF1,inverse(multiply(sF1,X0))) = multiply(multiply(multiply(sF1,inverse(inverse(inverse(X0)))),sF1),sF1),
inference(forward_demodulation,[],[f6169,f5896]) ).
fof(f6197,plain,
! [X0] : multiply(sF1,inverse(multiply(X0,sF1))) = multiply(sF1,multiply(multiply(sF1,inverse(X0)),sF1)),
inference(forward_demodulation,[],[f6187,f5864]) ).
fof(f6198,plain,
! [X0] : multiply(sF1,inverse(multiply(sF1,X0))) = multiply(multiply(sF1,multiply(inverse(inverse(inverse(X0))),sF1)),sF1),
inference(forward_demodulation,[],[f6188,f5864]) ).
fof(f6202,plain,
! [X0] : multiply(sF1,inverse(multiply(X0,sF1))) = multiply(sF1,multiply(sF1,multiply(inverse(X0),sF1))),
inference(forward_demodulation,[],[f6197,f5864]) ).
fof(f6203,plain,
! [X0] : multiply(sF1,inverse(multiply(sF1,X0))) = multiply(sF1,multiply(multiply(inverse(inverse(inverse(X0))),sF1),sF1)),
inference(forward_demodulation,[],[f6198,f5864]) ).
fof(f6205,plain,
! [X0] : inverse(X0) = multiply(sF1,inverse(multiply(X0,sF1))),
inference(forward_demodulation,[],[f6202,f5591]) ).
fof(f6206,plain,
! [X0] : multiply(sF1,multiply(sF1,inverse(X0))) = multiply(sF1,inverse(multiply(sF1,X0))),
inference(forward_demodulation,[],[f6203,f5944]) ).
fof(f6213,plain,
! [X0] : inverse(multiply(sF1,X0)) = multiply(sF1,inverse(multiply(sF1,multiply(X0,sF1)))),
inference(superposition,[],[f6205,f5864]) ).
fof(f6214,plain,
! [X0] : inverse(multiply(inverse(inverse(X0)),sF1)) = multiply(sF1,inverse(multiply(sF1,X0))),
inference(superposition,[],[f6205,f5944]) ).
fof(f6238,plain,
! [X0] : multiply(sF1,multiply(sF1,inverse(X0))) = inverse(multiply(inverse(inverse(X0)),sF1)),
inference(forward_demodulation,[],[f6214,f6206]) ).
fof(f6239,plain,
! [X0] : inverse(multiply(sF1,X0)) = multiply(sF1,multiply(sF1,inverse(multiply(X0,sF1)))),
inference(forward_demodulation,[],[f6213,f6206]) ).
fof(f6244,plain,
! [X0] : multiply(sF1,multiply(sF1,inverse(X0))) = multiply(multiply(sF1,multiply(sF1,inverse(X0))),sF1),
inference(backward_demodulation,[],[f5501,f6238]) ).
fof(f6253,plain,
! [X0] : inverse(multiply(sF1,X0)) = multiply(sF1,inverse(X0)),
inference(forward_demodulation,[],[f6239,f6205]) ).
fof(f6254,plain,
! [X0] : multiply(sF1,multiply(sF1,inverse(X0))) = multiply(sF1,multiply(multiply(sF1,inverse(X0)),sF1)),
inference(forward_demodulation,[],[f6244,f5864]) ).
fof(f6256,plain,
! [X0] : sF1 = multiply(multiply(sF1,inverse(inverse(X0))),multiply(sF1,inverse(X0))),
inference(backward_demodulation,[],[f5761,f6253]) ).
fof(f6264,plain,
! [X0,X1] : multiply(sF1,multiply(sF1,X1)) = multiply(sF1,inverse(inverse(multiply(multiply(X1,sF1),multiply(inverse(inverse(X0)),multiply(sF1,inverse(X0))))))),
inference(backward_demodulation,[],[f6125,f6253]) ).
fof(f6286,plain,
! [X0] : multiply(sF1,multiply(sF1,inverse(X0))) = multiply(sF1,multiply(sF1,multiply(inverse(X0),sF1))),
inference(forward_demodulation,[],[f6254,f5864]) ).
fof(f6307,plain,
! [X0] : inverse(X0) = multiply(sF1,multiply(sF1,inverse(X0))),
inference(forward_demodulation,[],[f6286,f5591]) ).
fof(f6340,plain,
! [X0] : inverse(inverse(X0)) = multiply(sF1,inverse(inverse(X0))),
inference(backward_demodulation,[],[f6127,f6307]) ).
fof(f6356,plain,
! [X0] : sF1 = multiply(inverse(inverse(X0)),multiply(sF1,inverse(X0))),
inference(backward_demodulation,[],[f6256,f6340]) ).
fof(f6361,plain,
! [X0,X1] : multiply(sF1,multiply(sF1,X1)) = inverse(inverse(multiply(multiply(X1,sF1),multiply(inverse(inverse(X0)),multiply(sF1,inverse(X0)))))),
inference(backward_demodulation,[],[f6264,f6340]) ).
fof(f6377,plain,
! [X1] : multiply(sF1,multiply(sF1,X1)) = inverse(inverse(multiply(multiply(X1,sF1),sF1))),
inference(backward_demodulation,[],[f6361,f6356]) ).
fof(f6408,plain,
! [X1] : multiply(inverse(inverse(multiply(X1,sF1))),sF1) = multiply(sF1,multiply(sF1,X1)),
inference(forward_demodulation,[],[f6377,f5794]) ).
fof(f6417,plain,
! [X1] : multiply(sF1,multiply(sF1,X1)) = multiply(multiply(inverse(inverse(X1)),sF1),sF1),
inference(forward_demodulation,[],[f6408,f5794]) ).
fof(f6422,plain,
! [X1] : multiply(sF1,X1) = multiply(sF1,multiply(sF1,X1)),
inference(forward_demodulation,[],[f6417,f5944]) ).
fof(f6479,plain,
! [X0] : multiply(sF1,multiply(X0,sF1)) = X0,
inference(backward_demodulation,[],[f5591,f6422]) ).
fof(f6543,plain,
a2 = sF2,
inference(backward_demodulation,[],[f5883,f6479]) ).
fof(f6622,plain,
$false,
inference(forward_subsumption_resolution,[],[f6543,f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP410-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n007.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 10:01:31 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 5.85/2.02 % (1170244)Detected a unit-equality problem, will run specialized UEQ schedule.
% 5.85/2.02 % (1170251)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1698278378:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 5.85/2.02 % (1170249)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=2638641484:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 5.85/2.02 % (1170255)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2491428302:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 5.85/2.02 % (1170254)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2218217342:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 5.85/2.02 % (1170252)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=350406854:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 5.85/2.02 % (1170250)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=3994818924:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 5.85/2.02 % (1170253)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2679026047:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 5.85/2.02 % (1170252)Instruction limit reached!
% 5.85/2.02 % (1170252)------------------------------
% 5.85/2.02 % (1170252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.85/2.02 % (1170252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.85/2.02 % (1170252)CaDiCaL version: 2.1.3
% 5.85/2.02 % (1170252)Termination reason: Instruction limit
% 5.85/2.02 % (1170252)Termination phase: Saturation
% 5.85/2.02 % (1170252)Time elapsed: 0.075 s
% 5.85/2.02 % (1170252)Peak memory usage: 88 MB
% 5.85/2.02 % (1170252)Instructions burned: 136 (million)
% 5.85/2.02 % (1170253)Instruction limit reached!
% 5.85/2.02 % (1170253)------------------------------
% 5.85/2.02 % (1170253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.85/2.02 % (1170253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.85/2.02 % (1170253)CaDiCaL version: 2.1.3
% 5.85/2.02 % (1170253)Termination reason: Instruction limit
% 5.85/2.02 % (1170253)Termination phase: Saturation
% 5.85/2.02 % (1170253)Time elapsed: 0.096 s
% 5.85/2.02 % (1170253)Peak memory usage: 88 MB
% 5.85/2.02 % (1170253)Instructions burned: 182 (million)
% 5.85/2.02 % (1170254)Instruction limit reached!
% 5.85/2.02 % (1170254)------------------------------
% 5.85/2.02 % (1170254)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.85/2.02 % (1170254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.85/2.02 % (1170254)CaDiCaL version: 2.1.3
% 5.85/2.02 % (1170254)Termination reason: Instruction limit
% 5.85/2.02 % (1170254)Termination phase: Saturation
% 5.85/2.02 % (1170254)Time elapsed: 0.147 s
% 5.85/2.02 % (1170254)Peak memory usage: 90 MB
% 5.85/2.02 % (1170254)Instructions burned: 258 (million)
% 5.85/2.02 % (1170263)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3308875085:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 5.85/2.02 % (1170264)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3038728382:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 5.85/2.02 % (1170265)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2031816835:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 5.85/2.02 % (1170265)Instruction limit reached!
% 5.85/2.02 % (1170265)------------------------------
% 5.85/2.02 % (1170265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.85/2.02 % (1170265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.85/2.02 % (1170265)CaDiCaL version: 2.1.3
% 5.85/2.02 % (1170265)Termination reason: Instruction limit
% 5.85/2.02 % (1170265)Termination phase: Saturation
% 5.85/2.02 % (1170265)Time elapsed: 0.126 s
% 5.85/2.02 % (1170265)Peak memory usage: 90 MB
% 5.85/2.02 % (1170265)Instructions burned: 215 (million)
% 5.85/2.02 % (1170269)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=2285933359:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2993 on theBenchmark for (2993ds/317Mi)
% 5.85/2.02 % (1170255)Instruction limit reached!
% 5.85/2.02 % (1170255)------------------------------
% 5.85/2.02 % (1170255)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.85/2.02 % (1170255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.85/2.02 % (1170255)CaDiCaL version: 2.1.3
% 5.85/2.02 % (1170255)Termination reason: Instruction limit
% 5.85/2.02 % (1170255)Termination phase: Saturation
% 5.85/2.02 % (1170255)Time elapsed: 0.608 s
% 5.85/2.02 % (1170255)Peak memory usage: 93 MB
% 5.85/2.02 % (1170255)Instructions burned: 1188 (million)
% 5.85/2.02 % (1170269)Instruction limit reached!
% 5.85/2.02 % (1170269)------------------------------
% 5.85/2.02 % (1170269)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.85/2.02 % (1170269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.85/2.02 % (1170269)CaDiCaL version: 2.1.3
% 5.85/2.02 % (1170269)Termination reason: Instruction limit
% 5.85/2.02 % (1170269)Termination phase: Saturation
% 5.85/2.02 % (1170269)Time elapsed: 0.171 s
% 5.85/2.02 % (1170269)Peak memory usage: 91 MB
% 5.85/2.02 % (1170269)Instructions burned: 323 (million)
% 5.85/2.02 % (1170271)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=2290556463:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/12125Mi)
% 5.85/2.02 % (1170251)First to succeed.
% 5.85/2.02 % (1170251)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1170244"
% 5.85/2.02 % (1170273)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=2623067840:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2990 on theBenchmark for (2990ds/2836Mi)
% 5.85/2.02 % (1170251)Refutation found. Thanks to Tanya!
% 5.85/2.02 % SZS status Unsatisfiable for theBenchmark
% 5.85/2.02 % SZS output start Proof for theBenchmark
% See solution above
% 8.62/2.12 % (1170251)------------------------------
% 8.62/2.12 % (1170251)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.62/2.12 % (1170251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/2.12 % (1170251)CaDiCaL version: 2.1.3
% 8.62/2.12 % (1170251)Termination reason: Refutation
% 8.62/2.12 % (1170251)Time elapsed: 0.860 s
% 8.62/2.12 % (1170251)Peak memory usage: 139 MB
% 8.62/2.12 % (1170251)Instructions burned: 2715 (million)
% 8.62/2.12 % (1170251)------------------------------
% 8.62/2.12 % (1170251)------------------------------
% 8.62/2.12 % (1170244)Success in time 1.158 s
% 8.62/2.12 % Vampire exiting
%------------------------------------------------------------------------------