%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG130-1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:35:38 PM UTC 2026
% Result : Unsatisfiable 40.62s 6.73s
% Output : Refutation 42.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 108
% Number of leaves : 31
% Syntax : Number of formulae : 250 ( 250 unt; 21 def)
% Number of atoms : 250 ( 249 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 107 ( 107 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 14 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 31 ( 31 usr; 27 con; 0-2 aty)
% Number of variables : 128 ( 128 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : plus(X0,X1) = plus(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus_comm) ).
fof(f2,axiom,
! [X2,X0,X1] : plus(X0,plus(X1,X2)) = plus(plus(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus_assoc) ).
fof(f3,axiom,
! [X0] : plus(zero,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus_zero) ).
fof(f4,axiom,
! [X0] : plus(X0,minus(X0)) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus_inv) ).
fof(f5,plain,
! [X0] : zero = plus(X0,minus(X0)),
inference(reorient_equations,[],[f4]) ).
fof(f6,axiom,
! [X2,X0,X1] : times(X0,times(X1,X2)) = times(times(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',times_assoc) ).
fof(f7,axiom,
! [X0,X1] : times(X0,X1) = times(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',times_com) ).
fof(f8,axiom,
! [X0] : sq(X0) = times(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',square) ).
fof(f9,axiom,
! [X2,X0,X1] : times(X0,plus(X1,X2)) = plus(times(X0,X1),times(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distrib1) ).
fof(f10,axiom,
! [X2,X0,X1] : times(plus(X0,X1),X2) = plus(times(X0,X2),times(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distrib2) ).
fof(f11,negated_conjecture,
times(plus(sq(a),times(n,sq(b))),plus(sq(c),times(n,sq(d)))) != plus(sq(plus(times(a,c),times(minus(n),times(b,d)))),times(n,sq(plus(times(a,d),times(b,c))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f12,definition,
sF0 = sq(a),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f13,plain,
sq(a) = sF0,
inference(reorient_equations,[],[f12]) ).
fof(f14,definition,
sF1 = sq(b),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f15,plain,
sq(b) = sF1,
inference(reorient_equations,[],[f14]) ).
fof(f16,definition,
sF2 = times(n,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f17,plain,
times(n,sF1) = sF2,
inference(reorient_equations,[],[f16]) ).
fof(f18,definition,
sF3 = plus(sF0,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f19,plain,
plus(sF0,sF2) = sF3,
inference(reorient_equations,[],[f18]) ).
fof(f20,definition,
sF4 = sq(c),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f21,plain,
sq(c) = sF4,
inference(reorient_equations,[],[f20]) ).
fof(f22,definition,
sF5 = sq(d),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f23,plain,
sq(d) = sF5,
inference(reorient_equations,[],[f22]) ).
fof(f24,definition,
sF6 = times(n,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f25,plain,
times(n,sF5) = sF6,
inference(reorient_equations,[],[f24]) ).
fof(f26,definition,
sF7 = plus(sF4,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f27,plain,
plus(sF4,sF6) = sF7,
inference(reorient_equations,[],[f26]) ).
fof(f28,definition,
sF8 = times(sF3,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f29,plain,
times(sF3,sF7) = sF8,
inference(reorient_equations,[],[f28]) ).
fof(f30,definition,
sF9 = times(a,c),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f31,plain,
times(a,c) = sF9,
inference(reorient_equations,[],[f30]) ).
fof(f32,definition,
sF10 = minus(n),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f33,plain,
minus(n) = sF10,
inference(reorient_equations,[],[f32]) ).
fof(f34,definition,
sF11 = times(b,d),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f35,plain,
times(b,d) = sF11,
inference(reorient_equations,[],[f34]) ).
fof(f36,definition,
sF12 = times(sF10,sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f37,plain,
times(sF10,sF11) = sF12,
inference(reorient_equations,[],[f36]) ).
fof(f38,definition,
sF13 = plus(sF9,sF12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f39,plain,
plus(sF9,sF12) = sF13,
inference(reorient_equations,[],[f38]) ).
fof(f40,definition,
sF14 = sq(sF13),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f41,plain,
sq(sF13) = sF14,
inference(reorient_equations,[],[f40]) ).
fof(f42,definition,
sF15 = times(a,d),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f43,plain,
times(a,d) = sF15,
inference(reorient_equations,[],[f42]) ).
fof(f44,definition,
sF16 = times(b,c),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f45,plain,
times(b,c) = sF16,
inference(reorient_equations,[],[f44]) ).
fof(f46,definition,
sF17 = plus(sF15,sF16),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f47,plain,
plus(sF15,sF16) = sF17,
inference(reorient_equations,[],[f46]) ).
fof(f48,definition,
sF18 = sq(sF17),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f49,plain,
sq(sF17) = sF18,
inference(reorient_equations,[],[f48]) ).
fof(f50,definition,
sF19 = times(n,sF18),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f51,plain,
times(n,sF18) = sF19,
inference(reorient_equations,[],[f50]) ).
fof(f52,definition,
sF20 = plus(sF14,sF19),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
fof(f53,plain,
plus(sF14,sF19) = sF20,
inference(reorient_equations,[],[f52]) ).
fof(f54,plain,
sF8 != sF20,
inference(definition_folding,[],[f11,f53,f51,f49,f47,f45,f43,f41,f39,f37,f35,f33,f31,f29,f27,f25,f23,f21,f19,f17,f15,f13]) ).
fof(f55,plain,
sF0 = times(a,a),
inference(forward_demodulation,[],[f13,f8]) ).
fof(f56,plain,
sF1 = times(b,b),
inference(forward_demodulation,[],[f15,f8]) ).
fof(f57,plain,
sF3 = plus(sF0,times(n,sF1)),
inference(forward_demodulation,[],[f19,f17]) ).
fof(f58,plain,
sF4 = times(c,c),
inference(forward_demodulation,[],[f21,f8]) ).
fof(f59,plain,
sF5 = times(d,d),
inference(forward_demodulation,[],[f23,f8]) ).
fof(f60,plain,
sF7 = plus(sF4,times(n,sF5)),
inference(forward_demodulation,[],[f27,f25]) ).
fof(f61,plain,
times(sF3,sF7) != sF20,
inference(backward_demodulation,[],[f54,f29]) ).
fof(f62,plain,
sF12 = times(sF10,times(b,d)),
inference(forward_demodulation,[],[f37,f35]) ).
fof(f63,plain,
sF13 = plus(times(a,c),sF12),
inference(forward_demodulation,[],[f39,f31]) ).
fof(f64,plain,
sF14 = times(sF13,sF13),
inference(forward_demodulation,[],[f41,f8]) ).
fof(f65,plain,
sF17 = plus(sF15,times(b,c)),
inference(forward_demodulation,[],[f47,f45]) ).
fof(f66,plain,
sF18 = times(sF17,sF17),
inference(forward_demodulation,[],[f49,f8]) ).
fof(f67,plain,
sF20 = plus(sF14,times(n,sF18)),
inference(forward_demodulation,[],[f53,f51]) ).
fof(f69,plain,
sF3 = plus(sF0,times(n,times(b,b))),
inference(forward_demodulation,[],[f57,f56]) ).
fof(f71,plain,
sF7 = plus(sF4,times(n,times(d,d))),
inference(forward_demodulation,[],[f60,f59]) ).
fof(f72,plain,
sF12 = times(times(b,d),sF10),
inference(forward_demodulation,[],[f62,f7]) ).
fof(f73,plain,
sF14 = times(plus(times(a,c),sF12),plus(times(a,c),sF12)),
inference(forward_demodulation,[],[f64,f63]) ).
fof(f74,plain,
sF17 = plus(times(b,c),sF15),
inference(forward_demodulation,[],[f65,f1]) ).
fof(f76,plain,
sF20 = plus(sF14,times(n,times(sF17,sF17))),
inference(forward_demodulation,[],[f67,f66]) ).
fof(f77,plain,
sF3 = plus(times(n,times(b,b)),sF0),
inference(forward_demodulation,[],[f69,f1]) ).
fof(f78,plain,
sF7 = plus(times(n,times(d,d)),sF4),
inference(forward_demodulation,[],[f71,f1]) ).
fof(f79,plain,
sF12 = times(b,times(d,sF10)),
inference(forward_demodulation,[],[f72,f6]) ).
fof(f80,plain,
sF14 = plus(times(times(a,c),plus(times(a,c),sF12)),times(sF12,plus(times(a,c),sF12))),
inference(forward_demodulation,[],[f73,f10]) ).
fof(f81,plain,
sF17 = plus(times(b,c),times(a,d)),
inference(forward_demodulation,[],[f74,f43]) ).
fof(f82,plain,
times(sF3,sF7) != plus(sF14,times(n,times(sF17,sF17))),
inference(backward_demodulation,[],[f61,f76]) ).
fof(f83,plain,
sF3 = plus(times(n,times(b,b)),times(a,a)),
inference(forward_demodulation,[],[f77,f55]) ).
fof(f84,plain,
sF7 = plus(times(n,times(d,d)),times(c,c)),
inference(forward_demodulation,[],[f78,f58]) ).
fof(f85,plain,
sF12 = times(b,times(d,minus(n))),
inference(forward_demodulation,[],[f79,f33]) ).
fof(f86,plain,
sF14 = plus(times(times(a,c),plus(times(a,c),sF12)),plus(times(sF12,times(a,c)),times(sF12,sF12))),
inference(forward_demodulation,[],[f80,f9]) ).
fof(f90,plain,
times(sF3,sF7) != plus(sF14,times(n,times(plus(times(b,c),times(a,d)),plus(times(b,c),times(a,d))))),
inference(forward_demodulation,[],[f82,f81]) ).
fof(f91,plain,
sF3 = plus(times(a,a),times(n,times(b,b))),
inference(forward_demodulation,[],[f83,f1]) ).
fof(f92,plain,
sF7 = plus(times(c,c),times(n,times(d,d))),
inference(forward_demodulation,[],[f84,f1]) ).
fof(f93,plain,
sF12 = times(b,times(minus(n),d)),
inference(forward_demodulation,[],[f85,f7]) ).
fof(f94,plain,
sF14 = plus(times(times(a,c),plus(times(a,c),sF12)),plus(times(times(a,c),sF12),times(sF12,sF12))),
inference(forward_demodulation,[],[f86,f7]) ).
fof(f98,plain,
times(sF3,sF7) != plus(times(n,times(plus(times(b,c),times(a,d)),plus(times(b,c),times(a,d)))),sF14),
inference(forward_demodulation,[],[f90,f1]) ).
fof(f101,plain,
sF14 = plus(times(times(a,c),plus(times(a,c),times(b,times(minus(n),d)))),plus(times(times(a,c),times(b,times(minus(n),d))),times(times(b,times(minus(n),d)),times(b,times(minus(n),d))))),
inference(forward_demodulation,[],[f94,f93]) ).
fof(f105,plain,
times(sF3,sF7) != plus(times(n,plus(times(times(b,c),plus(times(b,c),times(a,d))),times(times(a,d),plus(times(b,c),times(a,d))))),sF14),
inference(forward_demodulation,[],[f98,f10]) ).
fof(f107,plain,
sF14 = plus(times(times(a,c),plus(times(a,c),times(b,times(minus(n),d)))),plus(times(times(a,c),times(b,times(minus(n),d))),times(b,times(times(minus(n),d),times(b,times(minus(n),d)))))),
inference(forward_demodulation,[],[f101,f6]) ).
fof(f111,plain,
times(sF3,sF7) != plus(plus(times(n,times(times(b,c),plus(times(b,c),times(a,d)))),times(n,times(times(a,d),plus(times(b,c),times(a,d))))),sF14),
inference(forward_demodulation,[],[f105,f9]) ).
fof(f113,plain,
sF14 = plus(times(times(a,c),plus(times(a,c),times(b,times(minus(n),d)))),plus(times(times(a,c),times(b,times(minus(n),d))),times(b,times(minus(n),times(d,times(b,times(minus(n),d))))))),
inference(forward_demodulation,[],[f107,f6]) ).
fof(f117,plain,
times(sF3,sF7) != plus(times(n,times(times(b,c),plus(times(b,c),times(a,d)))),plus(times(n,times(times(a,d),plus(times(b,c),times(a,d)))),sF14)),
inference(forward_demodulation,[],[f111,f2]) ).
fof(f119,plain,
sF14 = plus(times(times(a,c),plus(times(a,c),times(b,times(minus(n),d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),times(b,times(minus(n),times(d,times(b,times(minus(n),d))))))),
inference(forward_demodulation,[],[f113,f6]) ).
fof(f123,plain,
times(sF3,sF7) != plus(times(n,times(times(b,c),plus(times(b,c),times(a,d)))),plus(times(n,plus(times(times(a,d),times(b,c)),times(times(a,d),times(a,d)))),sF14)),
inference(forward_demodulation,[],[f117,f9]) ).
fof(f125,plain,
sF14 = plus(plus(times(times(a,c),times(a,c)),times(times(a,c),times(b,times(minus(n),d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),times(b,times(minus(n),times(d,times(b,times(minus(n),d))))))),
inference(forward_demodulation,[],[f119,f9]) ).
fof(f129,plain,
times(sF3,sF7) != plus(times(n,times(times(b,c),plus(times(b,c),times(a,d)))),plus(plus(times(n,times(times(a,d),times(b,c))),times(n,times(times(a,d),times(a,d)))),sF14)),
inference(forward_demodulation,[],[f123,f9]) ).
fof(f131,plain,
sF14 = plus(times(times(a,c),times(a,c)),plus(times(times(a,c),times(b,times(minus(n),d))),plus(times(a,times(c,times(b,times(minus(n),d)))),times(b,times(minus(n),times(d,times(b,times(minus(n),d)))))))),
inference(forward_demodulation,[],[f125,f2]) ).
fof(f135,plain,
times(sF3,sF7) != plus(times(n,times(times(b,c),plus(times(b,c),times(a,d)))),plus(times(n,times(times(a,d),times(b,c))),plus(times(n,times(times(a,d),times(a,d))),sF14))),
inference(forward_demodulation,[],[f129,f2]) ).
fof(f137,plain,
sF14 = plus(times(times(a,c),times(a,c)),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),times(b,times(minus(n),times(d,times(b,times(minus(n),d)))))))),
inference(forward_demodulation,[],[f131,f6]) ).
fof(f141,plain,
times(sF3,sF7) != plus(times(n,times(times(b,c),plus(times(b,c),times(a,d)))),plus(times(n,times(times(a,d),times(b,c))),plus(times(n,times(a,times(d,times(a,d)))),sF14))),
inference(forward_demodulation,[],[f135,f6]) ).
fof(f143,plain,
sF14 = plus(times(a,times(c,times(a,c))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),times(b,times(minus(n),times(d,times(b,times(minus(n),d)))))))),
inference(forward_demodulation,[],[f137,f6]) ).
fof(f147,plain,
times(sF3,sF7) != plus(times(n,times(times(b,c),plus(times(b,c),times(a,d)))),plus(times(n,times(times(b,c),times(a,d))),plus(times(n,times(a,times(d,times(a,d)))),sF14))),
inference(forward_demodulation,[],[f141,f7]) ).
fof(f152,plain,
times(sF3,sF7) != plus(times(n,times(times(b,c),plus(times(b,c),times(a,d)))),plus(times(n,times(times(b,c),times(a,d))),plus(times(n,times(a,times(d,times(a,d)))),plus(times(a,times(c,times(a,c))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),times(b,times(minus(n),times(d,times(b,times(minus(n),d))))))))))),
inference(forward_demodulation,[],[f147,f143]) ).
fof(f157,plain,
times(sF3,sF7) != plus(times(n,times(times(b,c),plus(times(b,c),times(a,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(a,times(d,times(a,d)))),plus(times(a,times(c,times(a,c))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),times(b,times(minus(n),times(d,times(b,times(minus(n),d))))))))))),
inference(forward_demodulation,[],[f152,f6]) ).
fof(f161,plain,
times(sF3,sF7) != plus(times(n,plus(times(times(b,c),times(b,c)),times(times(b,c),times(a,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(a,times(d,times(a,d)))),plus(times(a,times(c,times(a,c))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),times(b,times(minus(n),times(d,times(b,times(minus(n),d))))))))))),
inference(forward_demodulation,[],[f157,f9]) ).
fof(f165,plain,
times(sF3,sF7) != plus(plus(times(n,times(times(b,c),times(b,c))),times(n,times(times(b,c),times(a,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(a,times(d,times(a,d)))),plus(times(a,times(c,times(a,c))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),times(b,times(minus(n),times(d,times(b,times(minus(n),d))))))))))),
inference(forward_demodulation,[],[f161,f9]) ).
fof(f168,plain,
times(sF3,sF7) != plus(times(n,times(times(b,c),times(b,c))),plus(times(n,times(times(b,c),times(a,d))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(a,times(d,times(a,d)))),plus(times(a,times(c,times(a,c))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),times(b,times(minus(n),times(d,times(b,times(minus(n),d)))))))))))),
inference(forward_demodulation,[],[f165,f2]) ).
fof(f170,plain,
times(sF3,sF7) != plus(times(n,times(times(b,c),times(b,c))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(a,times(d,times(a,d)))),plus(times(a,times(c,times(a,c))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),times(b,times(minus(n),times(d,times(b,times(minus(n),d)))))))))))),
inference(forward_demodulation,[],[f168,f6]) ).
fof(f172,plain,
times(sF3,sF7) != plus(times(n,times(b,times(c,times(b,c)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(a,times(d,times(a,d)))),plus(times(a,times(c,times(a,c))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),times(b,times(minus(n),times(d,times(b,times(minus(n),d)))))))))))),
inference(forward_demodulation,[],[f170,f6]) ).
fof(f173,plain,
plus(times(n,times(b,times(c,times(b,c)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(a,times(d,times(a,d)))),plus(times(a,times(c,times(a,c))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),times(b,times(minus(n),times(d,times(b,times(minus(n),d)))))))))))) != times(sF3,plus(times(c,c),times(n,times(d,d)))),
inference(forward_demodulation,[],[f172,f92]) ).
fof(f174,plain,
plus(times(n,times(b,times(c,times(b,c)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(a,times(d,times(a,d)))),plus(times(a,times(c,times(a,c))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),times(b,times(minus(n),times(d,times(b,times(minus(n),d)))))))))))) != plus(times(sF3,times(c,c)),times(sF3,times(n,times(d,d)))),
inference(forward_demodulation,[],[f173,f9]) ).
fof(f175,plain,
plus(times(n,times(b,times(c,times(b,c)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(a,times(d,times(a,d)))),plus(times(a,times(c,times(a,c))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),times(b,times(minus(n),times(d,times(b,times(minus(n),d)))))))))))) != plus(times(sF3,times(c,c)),times(times(n,times(d,d)),sF3)),
inference(forward_demodulation,[],[f174,f7]) ).
fof(f176,plain,
plus(times(n,times(b,times(c,times(b,c)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(a,times(d,times(a,d)))),plus(times(a,times(c,times(a,c))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),times(b,times(minus(n),times(d,times(b,times(minus(n),d)))))))))))) != plus(times(times(n,times(d,d)),sF3),times(sF3,times(c,c))),
inference(forward_demodulation,[],[f175,f1]) ).
fof(f177,plain,
plus(times(n,times(b,times(c,times(b,c)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(a,times(d,times(a,d)))),plus(times(a,times(c,times(a,c))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),times(b,times(minus(n),times(d,times(b,times(minus(n),d)))))))))))) != plus(times(times(n,times(d,d)),sF3),times(times(c,c),sF3)),
inference(forward_demodulation,[],[f176,f7]) ).
fof(f178,plain,
plus(times(n,times(b,times(c,times(b,c)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(a,times(d,times(a,d)))),plus(times(a,times(c,times(a,c))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),times(b,times(minus(n),times(d,times(b,times(minus(n),d)))))))))))) != plus(times(times(c,c),sF3),times(times(n,times(d,d)),sF3)),
inference(forward_demodulation,[],[f177,f1]) ).
fof(f179,plain,
plus(times(n,times(b,times(c,times(b,c)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(a,times(d,times(a,d)))),plus(times(a,times(c,times(a,c))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),times(b,times(minus(n),times(d,times(b,times(minus(n),d)))))))))))) != plus(times(times(c,c),sF3),times(n,times(times(d,d),sF3))),
inference(forward_demodulation,[],[f178,f6]) ).
fof(f180,plain,
plus(times(n,times(b,times(c,times(b,c)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(a,times(d,times(a,d)))),plus(times(a,times(c,times(a,c))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),times(b,times(minus(n),times(d,times(b,times(minus(n),d)))))))))))) != plus(times(times(c,c),sF3),times(n,times(d,times(d,sF3)))),
inference(forward_demodulation,[],[f179,f6]) ).
fof(f181,plain,
plus(times(n,times(b,times(c,times(b,c)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(a,times(d,times(a,d)))),plus(times(a,times(c,times(a,c))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),times(b,times(minus(n),times(d,times(b,times(minus(n),d)))))))))))) != plus(times(times(c,c),plus(times(a,a),times(n,times(b,b)))),times(n,times(d,times(d,plus(times(a,a),times(n,times(b,b))))))),
inference(forward_demodulation,[],[f180,f91]) ).
fof(f182,plain,
plus(times(n,times(b,times(c,times(b,c)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(a,times(d,times(a,d)))),plus(times(a,times(c,times(a,c))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),times(b,times(minus(n),times(d,times(b,times(minus(n),d)))))))))))) != plus(times(times(c,c),plus(times(a,a),times(n,times(b,b)))),times(n,times(d,plus(times(d,times(a,a)),times(d,times(n,times(b,b))))))),
inference(forward_demodulation,[],[f181,f9]) ).
fof(f183,plain,
plus(times(n,times(b,times(c,times(b,c)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(a,times(d,times(a,d)))),plus(times(a,times(c,times(a,c))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),times(b,times(minus(n),times(d,times(b,times(minus(n),d)))))))))))) != plus(times(times(c,c),plus(times(a,a),times(n,times(b,b)))),times(n,plus(times(d,times(d,times(a,a))),times(d,times(d,times(n,times(b,b))))))),
inference(forward_demodulation,[],[f182,f9]) ).
fof(f184,plain,
plus(times(n,times(b,times(c,times(b,c)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(a,times(d,times(a,d)))),plus(times(a,times(c,times(a,c))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),times(b,times(minus(n),times(d,times(b,times(minus(n),d)))))))))))) != plus(times(times(c,c),plus(times(a,a),times(n,times(b,b)))),plus(times(n,times(d,times(d,times(a,a)))),times(n,times(d,times(d,times(n,times(b,b))))))),
inference(forward_demodulation,[],[f183,f9]) ).
fof(f185,plain,
plus(times(n,times(b,times(c,times(b,c)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(a,times(d,times(a,d)))),plus(times(a,times(c,times(a,c))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),times(b,times(minus(n),times(d,times(b,times(minus(n),d)))))))))))) != plus(times(times(c,c),plus(times(a,a),times(n,times(b,b)))),plus(times(n,times(d,times(d,times(a,a)))),times(n,times(d,times(times(n,times(b,b)),d))))),
inference(forward_demodulation,[],[f184,f7]) ).
fof(f186,plain,
plus(times(n,times(b,times(c,times(b,c)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(a,times(d,times(a,d)))),plus(times(a,times(c,times(a,c))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),times(b,times(minus(n),times(d,times(b,times(minus(n),d)))))))))))) != plus(times(times(c,c),plus(times(a,a),times(n,times(b,b)))),plus(times(n,times(d,times(times(n,times(b,b)),d))),times(n,times(d,times(d,times(a,a)))))),
inference(forward_demodulation,[],[f185,f1]) ).
fof(f187,plain,
plus(times(n,times(b,times(c,times(b,c)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(a,times(d,times(a,d)))),plus(times(a,times(c,times(a,c))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),times(b,times(minus(n),times(d,times(b,times(minus(n),d)))))))))))) != plus(times(times(c,c),plus(times(a,a),times(n,times(b,b)))),plus(times(n,times(d,times(times(n,times(b,b)),d))),times(n,times(d,times(times(a,a),d))))),
inference(forward_demodulation,[],[f186,f7]) ).
fof(f188,plain,
plus(times(n,times(b,times(c,times(b,c)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(a,times(d,times(a,d)))),plus(times(a,times(c,times(a,c))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),times(b,times(minus(n),times(d,times(b,times(minus(n),d)))))))))))) != plus(times(times(c,c),plus(times(a,a),times(n,times(b,b)))),plus(times(n,times(d,times(times(a,a),d))),times(n,times(d,times(times(n,times(b,b)),d))))),
inference(forward_demodulation,[],[f187,f1]) ).
fof(f189,plain,
plus(times(n,times(b,times(c,times(b,c)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(a,times(d,times(a,d)))),plus(times(a,times(c,times(a,c))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),times(b,times(minus(n),times(d,times(b,times(minus(n),d)))))))))))) != plus(times(times(c,c),plus(times(a,a),times(n,times(b,b)))),plus(times(n,times(d,times(times(a,a),d))),times(n,times(d,times(n,times(times(b,b),d)))))),
inference(forward_demodulation,[],[f188,f6]) ).
fof(f190,plain,
plus(times(n,times(b,times(c,times(b,c)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(a,times(d,times(a,d)))),plus(times(a,times(c,times(a,c))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),times(b,times(minus(n),times(d,times(b,times(minus(n),d)))))))))))) != plus(times(times(c,c),plus(times(a,a),times(n,times(b,b)))),plus(times(n,times(d,times(times(a,a),d))),times(n,times(d,times(n,times(b,times(b,d))))))),
inference(forward_demodulation,[],[f189,f6]) ).
fof(f191,plain,
plus(times(n,times(b,times(c,times(b,c)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(a,times(d,times(a,d)))),plus(times(a,times(c,times(a,c))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),times(b,times(minus(n),times(d,times(b,times(minus(n),d)))))))))))) != plus(times(times(c,c),plus(times(a,a),times(n,times(b,b)))),plus(times(n,times(d,times(a,times(a,d)))),times(n,times(d,times(n,times(b,times(b,d))))))),
inference(forward_demodulation,[],[f190,f6]) ).
fof(f192,plain,
plus(times(n,times(b,times(c,times(b,c)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(a,times(d,times(a,d)))),plus(times(a,times(c,times(a,c))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),times(b,times(minus(n),times(d,times(b,times(minus(n),d)))))))))))) != plus(plus(times(times(c,c),times(a,a)),times(times(c,c),times(n,times(b,b)))),plus(times(n,times(d,times(a,times(a,d)))),times(n,times(d,times(n,times(b,times(b,d))))))),
inference(forward_demodulation,[],[f191,f9]) ).
fof(f193,plain,
plus(times(n,times(b,times(c,times(b,c)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(a,times(d,times(a,d)))),plus(times(a,times(c,times(a,c))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),times(b,times(minus(n),times(d,times(b,times(minus(n),d)))))))))))) != plus(times(times(c,c),times(a,a)),plus(times(times(c,c),times(n,times(b,b))),plus(times(n,times(d,times(a,times(a,d)))),times(n,times(d,times(n,times(b,times(b,d)))))))),
inference(forward_demodulation,[],[f192,f2]) ).
fof(f194,plain,
plus(times(n,times(b,times(c,times(b,c)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(a,times(d,times(a,d)))),plus(times(a,times(c,times(a,c))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),times(b,times(minus(n),times(d,times(b,times(minus(n),d)))))))))))) != plus(times(times(c,c),times(a,a)),plus(times(times(n,times(b,b)),times(c,c)),plus(times(n,times(d,times(a,times(a,d)))),times(n,times(d,times(n,times(b,times(b,d)))))))),
inference(forward_demodulation,[],[f193,f7]) ).
fof(f195,plain,
plus(times(n,times(b,times(c,times(b,c)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(a,times(d,times(a,d)))),plus(times(a,times(c,times(a,c))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),times(b,times(minus(n),times(d,times(b,times(minus(n),d)))))))))))) != plus(times(times(c,c),times(a,a)),plus(times(n,times(times(b,b),times(c,c))),plus(times(n,times(d,times(a,times(a,d)))),times(n,times(d,times(n,times(b,times(b,d)))))))),
inference(forward_demodulation,[],[f194,f6]) ).
fof(f196,plain,
plus(times(n,times(b,times(c,times(b,c)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(a,times(d,times(a,d)))),plus(times(a,times(c,times(a,c))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),times(b,times(minus(n),times(d,times(b,times(minus(n),d)))))))))))) != plus(times(times(c,c),times(a,a)),plus(times(n,times(b,times(b,times(c,c)))),plus(times(n,times(d,times(a,times(a,d)))),times(n,times(d,times(n,times(b,times(b,d)))))))),
inference(forward_demodulation,[],[f195,f6]) ).
fof(f197,plain,
plus(times(n,times(b,times(c,times(b,c)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(a,times(d,times(a,d)))),plus(times(a,times(c,times(a,c))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),times(b,times(minus(n),times(d,times(b,times(minus(n),d)))))))))))) != plus(times(times(a,a),times(c,c)),plus(times(n,times(b,times(b,times(c,c)))),plus(times(n,times(d,times(a,times(a,d)))),times(n,times(d,times(n,times(b,times(b,d)))))))),
inference(forward_demodulation,[],[f196,f7]) ).
fof(f198,plain,
plus(times(n,times(b,times(c,times(b,c)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(a,times(d,times(a,d)))),plus(times(a,times(c,times(a,c))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),times(b,times(minus(n),times(d,times(b,times(minus(n),d)))))))))))) != plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(n,times(d,times(a,times(a,d)))),times(n,times(d,times(n,times(b,times(b,d)))))))),
inference(forward_demodulation,[],[f197,f6]) ).
fof(f226,plain,
! [X0,X1] : plus(X0,plus(minus(X0),X1)) = plus(zero,X1),
inference(superposition,[],[f2,f5]) ).
fof(f227,plain,
! [X0,X1] : plus(times(X0,X1),times(X0,minus(X1))) = times(X0,zero),
inference(superposition,[],[f9,f5]) ).
fof(f228,plain,
! [X0,X1] : plus(times(X0,X1),times(minus(X0),X1)) = times(zero,X1),
inference(superposition,[],[f10,f5]) ).
fof(f229,plain,
! [X0,X1] : zero = plus(X0,plus(X1,minus(plus(X0,X1)))),
inference(superposition,[],[f2,f5]) ).
fof(f230,plain,
! [X0,X1] : plus(X0,plus(minus(X0),X1)) = X1,
inference(forward_demodulation,[],[f226,f3]) ).
fof(f257,plain,
! [X2,X0,X1] : plus(plus(X0,X1),X2) = plus(X1,plus(X0,X2)),
inference(superposition,[],[f2,f1]) ).
fof(f260,plain,
! [X2,X0,X1] : plus(X0,plus(X1,X2)) = plus(X1,plus(X2,X0)),
inference(superposition,[],[f2,f1]) ).
fof(f263,plain,
! [X2,X0,X1] : plus(X0,plus(X1,X2)) = plus(X1,plus(X0,X2)),
inference(forward_demodulation,[],[f257,f2]) ).
fof(f268,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(n,times(d,times(a,times(a,d)))),times(n,times(d,times(n,times(b,times(b,d)))))))) != plus(times(n,times(b,times(c,times(b,c)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(a,times(c,times(a,c))),plus(times(n,times(a,times(d,times(a,d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),times(b,times(minus(n),times(d,times(b,times(minus(n),d)))))))))))),
inference(backward_demodulation,[],[f198,f263]) ).
fof(f271,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(n,times(d,times(a,times(a,d)))),times(n,times(d,times(n,times(b,times(b,d)))))))) != plus(times(n,times(b,times(c,times(b,c)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(a,times(c,times(a,c))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(a,times(d,times(a,d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),times(b,times(minus(n),times(d,times(b,times(minus(n),d)))))))))))),
inference(forward_demodulation,[],[f268,f263]) ).
fof(f273,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(n,times(d,times(a,times(a,d)))),times(n,times(d,times(n,times(b,times(b,d)))))))) != plus(times(n,times(b,times(c,times(b,c)))),plus(times(a,times(c,times(a,c))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(a,times(d,times(a,d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),times(b,times(minus(n),times(d,times(b,times(minus(n),d)))))))))))),
inference(forward_demodulation,[],[f271,f263]) ).
fof(f275,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(n,times(d,times(a,times(a,d)))),times(n,times(d,times(n,times(b,times(b,d)))))))) != plus(times(a,times(c,times(a,c))),plus(times(n,times(b,times(c,times(b,c)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(a,times(d,times(a,d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),times(b,times(minus(n),times(d,times(b,times(minus(n),d)))))))))))),
inference(forward_demodulation,[],[f273,f263]) ).
fof(f277,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(n,times(d,times(a,times(a,d)))),times(n,times(d,times(n,times(b,times(b,d)))))))) != plus(times(a,times(c,times(a,c))),plus(times(n,times(b,times(c,times(b,c)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(n,times(a,times(d,times(a,d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),times(b,times(minus(n),times(d,times(b,times(minus(n),d)))))))))))),
inference(forward_demodulation,[],[f275,f263]) ).
fof(f279,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(n,times(d,times(a,times(a,d)))),times(n,times(d,times(n,times(b,times(b,d)))))))) != plus(times(a,times(c,times(a,c))),plus(times(n,times(b,times(c,times(b,c)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(n,times(a,times(d,times(a,d)))),times(b,times(minus(n),times(d,times(b,times(minus(n),d)))))))))))),
inference(forward_demodulation,[],[f277,f263]) ).
fof(f292,plain,
! [X2,X0,X1] : times(times(X0,X1),X2) = times(X1,times(X0,X2)),
inference(superposition,[],[f6,f7]) ).
fof(f293,plain,
! [X2,X0,X1] : times(X0,times(X1,X2)) = times(X1,times(X2,X0)),
inference(superposition,[],[f6,f7]) ).
fof(f294,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(n,times(d,times(a,times(a,d)))),times(n,times(d,times(n,times(b,times(b,d)))))))) != plus(times(a,times(c,times(a,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(n,times(a,times(d,times(a,d)))),times(b,times(minus(n),times(d,times(b,times(minus(n),d)))))))))))),
inference(backward_demodulation,[],[f279,f293]) ).
fof(f299,plain,
! [X2,X0,X1] : times(X0,times(X1,X2)) = times(X1,times(X0,X2)),
inference(forward_demodulation,[],[f292,f6]) ).
fof(f312,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(n,times(d,times(a,times(a,d)))),times(n,times(d,times(n,times(b,times(b,d)))))))) != plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(c,times(a,c))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(n,times(a,times(d,times(a,d)))),times(b,times(minus(n),times(d,times(b,times(minus(n),d)))))))))))),
inference(forward_demodulation,[],[f294,f263]) ).
fof(f320,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(n,times(d,times(a,times(a,d)))),times(n,times(d,times(n,times(b,times(b,d)))))))) != plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(c,times(a,c))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(n,times(a,times(d,times(a,d)))),times(minus(n),times(b,times(d,times(b,times(minus(n),d)))))))))))),
inference(forward_demodulation,[],[f312,f299]) ).
fof(f326,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(n,times(d,times(a,times(a,d)))),times(n,times(d,times(n,times(b,times(b,d)))))))) != plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(c,times(a,c))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(n,times(a,times(d,times(a,d)))),times(minus(n),times(b,times(b,times(d,times(minus(n),d)))))))))))),
inference(forward_demodulation,[],[f320,f299]) ).
fof(f330,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(n,times(d,times(a,times(a,d)))),times(n,times(d,times(n,times(b,times(b,d)))))))) != plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(c,times(a,c))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(n,times(a,times(d,times(a,d)))),times(minus(n),times(b,times(b,times(minus(n),times(d,d)))))))))))),
inference(forward_demodulation,[],[f326,f293]) ).
fof(f334,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(n,times(d,times(a,times(a,d)))),times(n,times(d,times(n,times(b,times(b,d)))))))) != plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(c,times(a,c))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(minus(n),times(b,times(b,times(minus(n),times(d,d))))),plus(times(a,times(c,times(b,times(minus(n),d)))),times(n,times(a,times(d,times(a,d))))))))))),
inference(forward_demodulation,[],[f330,f260]) ).
fof(f338,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(n,times(d,times(a,times(a,d)))),times(n,times(d,times(n,times(b,times(b,d)))))))) != plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(c,times(a,c))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(minus(n),times(b,times(b,times(minus(n),times(d,d))))),times(n,times(a,times(d,times(a,d))))))))))),
inference(forward_demodulation,[],[f334,f263]) ).
fof(f341,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(n,times(d,times(a,times(a,d)))),times(n,times(d,times(n,times(b,times(b,d)))))))) != plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(c,times(a,c))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(minus(n),times(b,times(b,times(minus(n),times(d,d))))),times(a,times(n,times(d,times(a,d))))))))))),
inference(forward_demodulation,[],[f338,f299]) ).
fof(f344,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(n,times(d,times(a,times(a,d)))),times(n,times(d,times(n,times(b,times(b,d)))))))) != plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(c,times(a,c))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(minus(n),times(b,times(b,times(minus(n),times(d,d))))),times(a,times(n,times(a,times(d,d))))))))))),
inference(forward_demodulation,[],[f341,f293]) ).
fof(f346,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(n,times(d,times(a,times(a,d)))),times(n,times(d,times(n,times(b,times(b,d)))))))) != plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(c,times(a,c))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(a,times(n,times(a,times(d,d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),times(minus(n),times(b,times(b,times(minus(n),times(d,d)))))))))))),
inference(forward_demodulation,[],[f344,f260]) ).
fof(f348,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(n,times(d,times(a,times(a,d)))),times(n,times(d,times(n,times(b,times(b,d)))))))) != plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(c,times(a,c))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(a,times(n,times(a,times(d,d)))),times(minus(n),times(b,times(b,times(minus(n),times(d,d)))))))))))),
inference(forward_demodulation,[],[f346,f263]) ).
fof(f350,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(n,times(d,times(a,times(a,d)))),times(n,times(d,times(n,times(b,times(b,d)))))))) != plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(c,times(a,c))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(a,times(n,times(a,times(d,d)))),times(minus(n),times(b,times(minus(n),times(b,times(d,d)))))))))))),
inference(forward_demodulation,[],[f348,f299]) ).
fof(f352,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(n,times(d,times(a,times(a,d)))),times(n,times(d,times(n,times(b,times(b,d)))))))) != plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(c,times(a,c))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(a,times(n,times(a,times(d,d)))),times(minus(n),times(minus(n),times(b,times(b,times(d,d)))))))))))),
inference(forward_demodulation,[],[f350,f299]) ).
fof(f354,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(n,times(d,times(a,times(a,d)))),times(n,times(d,times(n,times(b,times(b,d)))))))) != plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(c,times(a,c))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(a,times(c,times(b,times(minus(n),d)))),plus(times(a,times(a,times(n,times(d,d)))),times(minus(n),times(minus(n),times(b,times(b,times(d,d)))))))))))),
inference(forward_demodulation,[],[f352,f299]) ).
fof(f356,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(n,times(d,times(a,times(a,d)))),times(n,times(d,times(n,times(b,times(b,d)))))))) != plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(c,times(a,c))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(a,times(b,times(c,times(minus(n),d)))),plus(times(a,times(b,times(c,times(minus(n),d)))),plus(times(a,times(a,times(n,times(d,d)))),times(minus(n),times(minus(n),times(b,times(b,times(d,d)))))))))))),
inference(forward_demodulation,[],[f354,f299]) ).
fof(f358,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(n,times(d,times(a,times(a,d)))),times(n,times(d,times(n,times(b,times(b,d)))))))) != plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(c,times(a,c))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(a,times(b,times(minus(n),times(c,d)))),plus(times(a,times(b,times(minus(n),times(c,d)))),plus(times(a,times(a,times(n,times(d,d)))),times(minus(n),times(minus(n),times(b,times(b,times(d,d)))))))))))),
inference(forward_demodulation,[],[f356,f299]) ).
fof(f360,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(n,times(d,times(a,times(a,d)))),times(n,times(d,times(n,times(b,times(b,d)))))))) != plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(c,times(a,c))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(a,times(b,times(minus(n),times(c,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(a,times(b,times(minus(n),times(c,d)))),plus(times(a,times(a,times(n,times(d,d)))),times(minus(n),times(minus(n),times(b,times(b,times(d,d)))))))))))),
inference(forward_demodulation,[],[f358,f263]) ).
fof(f362,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(n,times(d,times(a,times(a,d)))),times(n,times(d,times(n,times(b,times(b,d)))))))) != plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(c,times(a,c))),plus(times(a,times(b,times(minus(n),times(c,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(a,times(b,times(minus(n),times(c,d)))),plus(times(a,times(a,times(n,times(d,d)))),times(minus(n),times(minus(n),times(b,times(b,times(d,d)))))))))))),
inference(forward_demodulation,[],[f360,f263]) ).
fof(f364,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(n,times(d,times(a,times(a,d)))),times(n,times(d,times(n,times(b,times(b,d)))))))) != plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(c,times(a,c))),plus(times(a,times(b,times(minus(n),times(c,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(a,times(b,times(minus(n),times(c,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(a,times(a,times(n,times(d,d)))),times(minus(n),times(minus(n),times(b,times(b,times(d,d)))))))))))),
inference(forward_demodulation,[],[f362,f263]) ).
fof(f366,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(n,times(d,times(a,times(a,d)))),times(n,times(d,times(n,times(b,times(b,d)))))))) != plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(c,times(a,c))),plus(times(a,times(b,times(minus(n),times(c,d)))),plus(times(a,times(b,times(minus(n),times(c,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(n,times(b,times(c,times(a,d)))),plus(times(a,times(a,times(n,times(d,d)))),times(minus(n),times(minus(n),times(b,times(b,times(d,d)))))))))))),
inference(forward_demodulation,[],[f364,f263]) ).
fof(f368,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(n,times(d,times(a,times(a,d)))),times(n,times(d,times(n,times(b,times(b,d)))))))) != plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(c,times(a,c))),plus(times(a,times(b,times(minus(n),times(c,d)))),plus(times(a,times(b,times(minus(n),times(c,d)))),plus(times(n,times(b,times(a,times(c,d)))),plus(times(n,times(b,times(a,times(c,d)))),plus(times(a,times(a,times(n,times(d,d)))),times(minus(n),times(minus(n),times(b,times(b,times(d,d)))))))))))),
inference(forward_demodulation,[],[f366,f299]) ).
fof(f370,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(n,times(d,times(a,times(a,d)))),times(n,times(d,times(n,times(b,times(b,d)))))))) != plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(c,times(a,c))),plus(times(a,times(b,times(minus(n),times(c,d)))),plus(times(n,times(b,times(a,times(c,d)))),plus(times(a,times(b,times(minus(n),times(c,d)))),plus(times(n,times(b,times(a,times(c,d)))),plus(times(a,times(a,times(n,times(d,d)))),times(minus(n),times(minus(n),times(b,times(b,times(d,d)))))))))))),
inference(forward_demodulation,[],[f368,f263]) ).
fof(f372,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(n,times(d,times(a,times(a,d)))),times(n,times(d,times(n,times(b,times(b,d)))))))) != plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(c,times(a,c))),plus(times(n,times(b,times(a,times(c,d)))),plus(times(a,times(b,times(minus(n),times(c,d)))),plus(times(a,times(b,times(minus(n),times(c,d)))),plus(times(n,times(b,times(a,times(c,d)))),plus(times(a,times(a,times(n,times(d,d)))),times(minus(n),times(minus(n),times(b,times(b,times(d,d)))))))))))),
inference(forward_demodulation,[],[f370,f263]) ).
fof(f374,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(n,times(d,times(a,times(a,d)))),times(n,times(d,times(n,times(b,times(b,d)))))))) != plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(c,times(a,c))),plus(times(n,times(b,times(a,times(c,d)))),plus(times(a,times(b,times(minus(n),times(c,d)))),plus(times(n,times(b,times(a,times(c,d)))),plus(times(a,times(b,times(minus(n),times(c,d)))),plus(times(a,times(a,times(n,times(d,d)))),times(minus(n),times(minus(n),times(b,times(b,times(d,d)))))))))))),
inference(forward_demodulation,[],[f372,f263]) ).
fof(f376,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(n,times(d,times(a,times(a,d)))),times(n,times(d,times(n,times(b,times(b,d)))))))) != plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(c,times(a,c))),plus(times(n,times(b,times(a,times(c,d)))),plus(times(n,times(b,times(a,times(c,d)))),plus(times(a,times(b,times(minus(n),times(c,d)))),plus(times(a,times(b,times(minus(n),times(c,d)))),plus(times(a,times(a,times(n,times(d,d)))),times(minus(n),times(minus(n),times(b,times(b,times(d,d)))))))))))),
inference(forward_demodulation,[],[f374,f263]) ).
fof(f378,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(n,times(d,times(a,times(a,d)))),times(n,times(d,times(n,times(b,times(b,d)))))))) != plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(c,times(a,c))),plus(times(n,times(b,times(a,times(c,d)))),plus(times(n,times(b,times(a,times(c,d)))),plus(times(a,times(minus(n),times(b,times(c,d)))),plus(times(a,times(minus(n),times(b,times(c,d)))),plus(times(a,times(a,times(n,times(d,d)))),times(minus(n),times(minus(n),times(b,times(b,times(d,d)))))))))))),
inference(forward_demodulation,[],[f376,f299]) ).
fof(f380,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(n,times(d,times(a,times(a,d)))),times(n,times(d,times(n,times(b,times(b,d)))))))) != plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(c,times(a,c))),plus(times(n,times(b,times(a,times(c,d)))),plus(times(a,times(minus(n),times(b,times(c,d)))),plus(times(n,times(b,times(a,times(c,d)))),plus(times(a,times(minus(n),times(b,times(c,d)))),plus(times(a,times(a,times(n,times(d,d)))),times(minus(n),times(minus(n),times(b,times(b,times(d,d)))))))))))),
inference(forward_demodulation,[],[f378,f263]) ).
fof(f382,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(n,times(d,times(a,times(a,d)))),times(n,times(d,times(n,times(b,times(b,d)))))))) != plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(c,times(a,c))),plus(times(a,times(minus(n),times(b,times(c,d)))),plus(times(n,times(b,times(a,times(c,d)))),plus(times(n,times(b,times(a,times(c,d)))),plus(times(a,times(minus(n),times(b,times(c,d)))),plus(times(a,times(a,times(n,times(d,d)))),times(minus(n),times(minus(n),times(b,times(b,times(d,d)))))))))))),
inference(forward_demodulation,[],[f380,f263]) ).
fof(f384,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(n,times(d,times(a,times(a,d)))),times(n,times(d,times(n,times(b,times(b,d)))))))) != plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(c,times(a,c))),plus(times(a,times(minus(n),times(b,times(c,d)))),plus(times(n,times(b,times(a,times(c,d)))),plus(times(a,times(minus(n),times(b,times(c,d)))),plus(times(n,times(b,times(a,times(c,d)))),plus(times(a,times(a,times(n,times(d,d)))),times(minus(n),times(minus(n),times(b,times(b,times(d,d)))))))))))),
inference(forward_demodulation,[],[f382,f263]) ).
fof(f386,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(n,times(d,times(a,times(a,d)))),times(n,times(d,times(n,times(b,times(b,d)))))))) != plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(c,times(a,c))),plus(times(a,times(minus(n),times(b,times(c,d)))),plus(times(a,times(minus(n),times(b,times(c,d)))),plus(times(n,times(b,times(a,times(c,d)))),plus(times(n,times(b,times(a,times(c,d)))),plus(times(a,times(a,times(n,times(d,d)))),times(minus(n),times(minus(n),times(b,times(b,times(d,d)))))))))))),
inference(forward_demodulation,[],[f384,f263]) ).
fof(f388,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(n,times(d,times(a,times(a,d)))),times(n,times(d,times(n,times(b,times(b,d)))))))) != plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(c,times(a,c))),plus(times(a,times(minus(n),times(b,times(c,d)))),plus(times(a,times(minus(n),times(b,times(c,d)))),plus(times(n,times(a,times(b,times(c,d)))),plus(times(n,times(a,times(b,times(c,d)))),plus(times(a,times(a,times(n,times(d,d)))),times(minus(n),times(minus(n),times(b,times(b,times(d,d)))))))))))),
inference(forward_demodulation,[],[f386,f299]) ).
fof(f390,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(n,times(d,times(a,times(a,d)))),times(n,times(d,times(n,times(b,times(b,d)))))))) != plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(c,times(a,c))),plus(times(a,times(minus(n),times(b,times(c,d)))),plus(times(n,times(a,times(b,times(c,d)))),plus(times(a,times(minus(n),times(b,times(c,d)))),plus(times(n,times(a,times(b,times(c,d)))),plus(times(a,times(a,times(n,times(d,d)))),times(minus(n),times(minus(n),times(b,times(b,times(d,d)))))))))))),
inference(forward_demodulation,[],[f388,f263]) ).
fof(f392,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(n,times(d,times(a,times(a,d)))),times(n,times(d,times(n,times(b,times(b,d)))))))) != plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(c,times(a,c))),plus(times(n,times(a,times(b,times(c,d)))),plus(times(a,times(minus(n),times(b,times(c,d)))),plus(times(a,times(minus(n),times(b,times(c,d)))),plus(times(n,times(a,times(b,times(c,d)))),plus(times(a,times(a,times(n,times(d,d)))),times(minus(n),times(minus(n),times(b,times(b,times(d,d)))))))))))),
inference(forward_demodulation,[],[f390,f263]) ).
fof(f394,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(n,times(d,times(a,times(a,d)))),times(n,times(d,times(n,times(b,times(b,d)))))))) != plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(c,times(a,c))),plus(times(n,times(a,times(b,times(c,d)))),plus(times(a,times(minus(n),times(b,times(c,d)))),plus(times(n,times(a,times(b,times(c,d)))),plus(times(a,times(minus(n),times(b,times(c,d)))),plus(times(a,times(a,times(n,times(d,d)))),times(minus(n),times(minus(n),times(b,times(b,times(d,d)))))))))))),
inference(forward_demodulation,[],[f392,f263]) ).
fof(f396,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(n,times(d,times(a,times(a,d)))),times(n,times(d,times(n,times(b,times(b,d)))))))) != plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(c,times(a,c))),plus(times(n,times(a,times(b,times(c,d)))),plus(times(n,times(a,times(b,times(c,d)))),plus(times(a,times(minus(n),times(b,times(c,d)))),plus(times(a,times(minus(n),times(b,times(c,d)))),plus(times(a,times(a,times(n,times(d,d)))),times(minus(n),times(minus(n),times(b,times(b,times(d,d)))))))))))),
inference(forward_demodulation,[],[f394,f263]) ).
fof(f398,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(n,times(d,times(a,times(a,d)))),times(n,times(d,times(n,times(b,times(b,d)))))))) != plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(c,times(a,c))),plus(times(a,times(n,times(b,times(c,d)))),plus(times(a,times(n,times(b,times(c,d)))),plus(times(a,times(minus(n),times(b,times(c,d)))),plus(times(a,times(minus(n),times(b,times(c,d)))),plus(times(a,times(a,times(n,times(d,d)))),times(minus(n),times(minus(n),times(b,times(b,times(d,d)))))))))))),
inference(forward_demodulation,[],[f396,f299]) ).
fof(f400,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(n,times(d,times(a,times(a,d)))),times(n,times(d,times(n,times(b,times(b,d)))))))) != plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(a,times(c,c))),plus(times(a,times(n,times(b,times(c,d)))),plus(times(a,times(n,times(b,times(c,d)))),plus(times(a,times(minus(n),times(b,times(c,d)))),plus(times(a,times(minus(n),times(b,times(c,d)))),plus(times(a,times(a,times(n,times(d,d)))),times(minus(n),times(minus(n),times(b,times(b,times(d,d)))))))))))),
inference(forward_demodulation,[],[f398,f293]) ).
fof(f402,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(n,times(d,times(a,times(a,d)))),times(n,times(d,times(n,times(b,times(b,d)))))))) != plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(n,times(b,times(c,d)))),plus(times(a,times(n,times(b,times(c,d)))),plus(times(a,times(minus(n),times(b,times(c,d)))),plus(times(a,times(minus(n),times(b,times(c,d)))),plus(times(a,times(a,times(n,times(d,d)))),times(minus(n),times(minus(n),times(b,times(b,times(d,d)))))))))))),
inference(forward_demodulation,[],[f400,f263]) ).
fof(f403,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(n,times(b,times(c,d)))),plus(times(a,times(n,times(b,times(c,d)))),plus(times(a,times(minus(n),times(b,times(c,d)))),plus(times(a,times(minus(n),times(b,times(c,d)))),plus(times(a,times(a,times(n,times(d,d)))),times(minus(n),times(minus(n),times(b,times(b,times(d,d)))))))))))) != plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(n,times(d,times(a,times(a,d)))),times(n,times(n,times(d,times(b,times(b,d)))))))),
inference(forward_demodulation,[],[f402,f299]) ).
fof(f404,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(n,times(b,times(c,d)))),plus(times(a,times(n,times(b,times(c,d)))),plus(times(a,times(minus(n),times(b,times(c,d)))),plus(times(a,times(minus(n),times(b,times(c,d)))),plus(times(a,times(a,times(n,times(d,d)))),times(minus(n),times(minus(n),times(b,times(b,times(d,d)))))))))))) != plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(n,times(d,times(a,times(a,d)))),times(n,times(n,times(b,times(d,times(b,d)))))))),
inference(forward_demodulation,[],[f403,f299]) ).
fof(f405,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(n,times(b,times(c,d)))),plus(times(a,times(n,times(b,times(c,d)))),plus(times(a,times(minus(n),times(b,times(c,d)))),plus(times(a,times(minus(n),times(b,times(c,d)))),plus(times(a,times(a,times(n,times(d,d)))),times(minus(n),times(minus(n),times(b,times(b,times(d,d)))))))))))) != plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(n,times(d,times(a,times(a,d)))),times(n,times(n,times(b,times(b,times(d,d)))))))),
inference(forward_demodulation,[],[f404,f293]) ).
fof(f406,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(n,times(b,times(c,d)))),plus(times(a,times(n,times(b,times(c,d)))),plus(times(a,times(minus(n),times(b,times(c,d)))),plus(times(a,times(minus(n),times(b,times(c,d)))),plus(times(a,times(a,times(n,times(d,d)))),times(minus(n),times(minus(n),times(b,times(b,times(d,d)))))))))))) != plus(times(a,times(a,times(c,c))),plus(times(n,times(n,times(b,times(b,times(d,d))))),plus(times(n,times(b,times(b,times(c,c)))),times(n,times(d,times(a,times(a,d))))))),
inference(forward_demodulation,[],[f405,f260]) ).
fof(f407,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(n,times(b,times(c,d)))),plus(times(a,times(n,times(b,times(c,d)))),plus(times(a,times(minus(n),times(b,times(c,d)))),plus(times(a,times(minus(n),times(b,times(c,d)))),plus(times(a,times(a,times(n,times(d,d)))),times(minus(n),times(minus(n),times(b,times(b,times(d,d)))))))))))) != plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(n,times(n,times(b,times(b,times(d,d))))),times(n,times(d,times(a,times(a,d))))))),
inference(forward_demodulation,[],[f406,f263]) ).
fof(f408,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(n,times(b,times(c,d)))),plus(times(a,times(n,times(b,times(c,d)))),plus(times(a,times(minus(n),times(b,times(c,d)))),plus(times(a,times(minus(n),times(b,times(c,d)))),plus(times(a,times(a,times(n,times(d,d)))),times(minus(n),times(minus(n),times(b,times(b,times(d,d)))))))))))) != plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(n,times(n,times(b,times(b,times(d,d))))),times(n,times(a,times(d,times(a,d))))))),
inference(forward_demodulation,[],[f407,f299]) ).
fof(f409,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(n,times(b,times(c,d)))),plus(times(a,times(n,times(b,times(c,d)))),plus(times(a,times(minus(n),times(b,times(c,d)))),plus(times(a,times(minus(n),times(b,times(c,d)))),plus(times(a,times(a,times(n,times(d,d)))),times(minus(n),times(minus(n),times(b,times(b,times(d,d)))))))))))) != plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(n,times(n,times(b,times(b,times(d,d))))),times(a,times(n,times(d,times(a,d))))))),
inference(forward_demodulation,[],[f408,f299]) ).
fof(f410,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(n,times(b,times(c,d)))),plus(times(a,times(n,times(b,times(c,d)))),plus(times(a,times(minus(n),times(b,times(c,d)))),plus(times(a,times(minus(n),times(b,times(c,d)))),plus(times(a,times(a,times(n,times(d,d)))),times(minus(n),times(minus(n),times(b,times(b,times(d,d)))))))))))) != plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(n,times(n,times(b,times(b,times(d,d))))),times(a,times(n,times(a,times(d,d))))))),
inference(forward_demodulation,[],[f409,f293]) ).
fof(f411,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(n,times(b,times(c,d)))),plus(times(a,times(n,times(b,times(c,d)))),plus(times(a,times(minus(n),times(b,times(c,d)))),plus(times(a,times(minus(n),times(b,times(c,d)))),plus(times(a,times(a,times(n,times(d,d)))),times(minus(n),times(minus(n),times(b,times(b,times(d,d)))))))))))) != plus(times(a,times(a,times(c,c))),plus(times(a,times(n,times(a,times(d,d)))),plus(times(n,times(b,times(b,times(c,c)))),times(n,times(n,times(b,times(b,times(d,d)))))))),
inference(forward_demodulation,[],[f410,f260]) ).
fof(f412,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(n,times(b,times(c,d)))),plus(times(a,times(n,times(b,times(c,d)))),plus(times(a,times(minus(n),times(b,times(c,d)))),plus(times(a,times(minus(n),times(b,times(c,d)))),plus(times(a,times(a,times(n,times(d,d)))),times(minus(n),times(minus(n),times(b,times(b,times(d,d)))))))))))) != plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(n,times(a,times(d,d)))),times(n,times(n,times(b,times(b,times(d,d)))))))),
inference(forward_demodulation,[],[f411,f263]) ).
fof(f413,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(a,times(n,times(d,d)))),times(n,times(n,times(b,times(b,times(d,d)))))))) != plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(n,times(b,times(c,d)))),plus(times(a,times(n,times(b,times(c,d)))),plus(times(a,times(minus(n),times(b,times(c,d)))),plus(times(a,times(minus(n),times(b,times(c,d)))),plus(times(a,times(a,times(n,times(d,d)))),times(minus(n),times(minus(n),times(b,times(b,times(d,d)))))))))))),
inference(forward_demodulation,[],[f412,f299]) ).
fof(f419,plain,
! [X0] : plus(X0,zero) = X0,
inference(superposition,[],[f1,f3]) ).
fof(f421,plain,
! [X0,X1] : times(X1,X0) = plus(times(X1,zero),times(X1,X0)),
inference(superposition,[],[f9,f3]) ).
fof(f422,plain,
! [X0,X1] : times(X0,X1) = plus(times(zero,X1),times(X0,X1)),
inference(superposition,[],[f10,f3]) ).
fof(f461,plain,
! [X0] : plus(X0,zero) = minus(minus(X0)),
inference(superposition,[],[f230,f5]) ).
fof(f463,plain,
! [X0,X1] : plus(X1,plus(X0,minus(X1))) = X0,
inference(superposition,[],[f230,f1]) ).
fof(f477,plain,
! [X0] : minus(minus(X0)) = X0,
inference(forward_demodulation,[],[f461,f419]) ).
fof(f720,plain,
! [X0,X1] : plus(X0,zero) = plus(X1,minus(plus(minus(X0),X1))),
inference(superposition,[],[f230,f229]) ).
fof(f721,plain,
! [X0,X1] : plus(X1,minus(plus(minus(X0),X1))) = X0,
inference(forward_demodulation,[],[f720,f419]) ).
fof(f749,plain,
! [X0,X1] : minus(X0) = plus(X1,minus(plus(X0,X1))),
inference(superposition,[],[f721,f477]) ).
fof(f807,plain,
! [X0,X1] : minus(X1) = plus(X0,minus(plus(X0,X1))),
inference(superposition,[],[f749,f1]) ).
fof(f1227,plain,
! [X2,X0,X1] : plus(times(X1,X0),plus(times(minus(X1),X0),X2)) = plus(times(zero,X0),X2),
inference(superposition,[],[f2,f228]) ).
fof(f1234,plain,
! [X0,X1] : minus(times(X1,X0)) = plus(times(minus(X1),X0),minus(times(zero,X0))),
inference(superposition,[],[f749,f228]) ).
fof(f1303,plain,
! [X2,X0,X1] : plus(times(X0,X1),X2) = plus(times(zero,X1),plus(times(X0,X1),X2)),
inference(superposition,[],[f2,f422]) ).
fof(f1354,plain,
! [X0,X1] : minus(times(X0,X1)) = plus(times(X0,zero),minus(times(X0,X1))),
inference(superposition,[],[f807,f421]) ).
fof(f1403,plain,
! [X0,X1] : minus(times(X0,X1)) = plus(times(X0,minus(X1)),minus(times(X0,zero))),
inference(superposition,[],[f749,f227]) ).
fof(f1404,plain,
! [X0,X1] : minus(times(X0,minus(X1))) = plus(times(X0,X1),minus(times(X0,zero))),
inference(superposition,[],[f807,f227]) ).
fof(f1418,plain,
! [X0,X1] : plus(times(zero,X0),times(zero,minus(X0))) = plus(times(X1,zero),times(minus(X1),zero)),
inference(superposition,[],[f228,f227]) ).
fof(f1819,plain,
! [X2,X0] : plus(times(zero,X2),X0) = X0,
inference(superposition,[],[f1303,f463]) ).
fof(f1823,plain,
! [X1] : zero = plus(times(zero,X1),zero),
inference(superposition,[],[f1303,f5]) ).
fof(f1843,plain,
! [X0,X1] : times(X0,X1) = plus(times(X0,X1),minus(times(zero,X1))),
inference(superposition,[],[f463,f1303]) ).
fof(f1868,plain,
! [X0,X1] : times(minus(X1),X0) = minus(times(X1,X0)),
inference(backward_demodulation,[],[f1234,f1843]) ).
fof(f1878,plain,
! [X1] : zero = plus(zero,times(zero,X1)),
inference(forward_demodulation,[],[f1823,f1]) ).
fof(f1881,plain,
! [X2,X0,X1] : plus(times(X1,X0),plus(times(minus(X1),X0),X2)) = X2,
inference(backward_demodulation,[],[f1227,f1819]) ).
fof(f1888,plain,
! [X0,X1] : times(zero,minus(X0)) = plus(times(X1,zero),times(minus(X1),zero)),
inference(backward_demodulation,[],[f1418,f1819]) ).
fof(f1901,plain,
! [X0,X1] : times(minus(X0),X1) = plus(times(X0,zero),times(minus(X0),X1)),
inference(backward_demodulation,[],[f1354,f1868]) ).
fof(f1905,plain,
! [X0,X1] : times(minus(X0),X1) = plus(times(X0,minus(X1)),minus(times(X0,zero))),
inference(backward_demodulation,[],[f1403,f1868]) ).
fof(f1911,plain,
! [X0,X1] : minus(times(X0,minus(X1))) = plus(times(X0,X1),times(minus(X0),zero)),
inference(backward_demodulation,[],[f1404,f1868]) ).
fof(f1913,plain,
! [X1] : zero = times(zero,X1),
inference(forward_demodulation,[],[f1878,f3]) ).
fof(f1922,plain,
! [X0,X1] : times(minus(X0),minus(X1)) = plus(times(X0,X1),times(minus(X0),zero)),
inference(forward_demodulation,[],[f1911,f1868]) ).
fof(f1923,plain,
! [X0,X1] : times(minus(X0),X1) = plus(times(X0,minus(X1)),times(minus(X0),zero)),
inference(forward_demodulation,[],[f1905,f1868]) ).
fof(f1924,plain,
! [X0,X1] : times(minus(X1),zero) = times(zero,minus(X0)),
inference(backward_demodulation,[],[f1888,f1901]) ).
fof(f1971,plain,
! [X1] : zero = times(minus(X1),zero),
inference(forward_demodulation,[],[f1924,f1913]) ).
fof(f1982,plain,
! [X0,X1] : times(minus(X0),X1) = plus(times(X0,minus(X1)),zero),
inference(backward_demodulation,[],[f1923,f1971]) ).
fof(f1983,plain,
! [X0,X1] : times(minus(X0),minus(X1)) = plus(times(X0,X1),zero),
inference(backward_demodulation,[],[f1922,f1971]) ).
fof(f1987,plain,
! [X0,X1] : times(X0,X1) = times(minus(X0),minus(X1)),
inference(forward_demodulation,[],[f1983,f419]) ).
fof(f1988,plain,
! [X0,X1] : times(X0,minus(X1)) = times(minus(X0),X1),
inference(forward_demodulation,[],[f1982,f419]) ).
fof(f1998,plain,
! [X2,X0,X1] : times(times(X0,X1),X2) = times(minus(X0),times(minus(X1),X2)),
inference(superposition,[],[f6,f1987]) ).
fof(f2019,plain,
! [X2,X0,X1] : times(X0,times(X1,X2)) = times(minus(X0),times(minus(X1),X2)),
inference(forward_demodulation,[],[f1998,f6]) ).
fof(f2026,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(a,times(n,times(d,d)))),times(n,times(n,times(b,times(b,times(d,d)))))))) != plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(n,times(b,times(c,d)))),plus(times(a,times(n,times(b,times(c,d)))),plus(times(a,times(minus(n),times(b,times(c,d)))),plus(times(a,times(minus(n),times(b,times(c,d)))),plus(times(a,times(a,times(n,times(d,d)))),times(n,times(n,times(b,times(b,times(d,d)))))))))))),
inference(backward_demodulation,[],[f413,f2019]) ).
fof(f2129,plain,
! [X2,X0,X1] : times(X1,times(minus(X0),X2)) = times(X0,minus(times(X1,X2))),
inference(superposition,[],[f299,f1988]) ).
fof(f2134,plain,
! [X2,X0,X1] : times(X0,times(minus(X1),X2)) = times(X1,times(minus(X0),X2)),
inference(forward_demodulation,[],[f2129,f1868]) ).
fof(f2148,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(a,times(n,times(d,d)))),times(n,times(n,times(b,times(b,times(d,d)))))))) != plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(n,times(b,times(c,d)))),plus(times(a,times(n,times(b,times(c,d)))),plus(times(n,times(minus(a),times(b,times(c,d)))),plus(times(n,times(minus(a),times(b,times(c,d)))),plus(times(a,times(a,times(n,times(d,d)))),times(n,times(n,times(b,times(b,times(d,d)))))))))))),
inference(backward_demodulation,[],[f2026,f2134]) ).
fof(f2155,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(a,times(n,times(d,d)))),times(n,times(n,times(b,times(b,times(d,d)))))))) != plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(n,times(b,times(c,d)))),plus(times(a,times(n,times(b,times(c,d)))),plus(times(minus(a),times(n,times(b,times(c,d)))),plus(times(minus(a),times(n,times(b,times(c,d)))),plus(times(a,times(a,times(n,times(d,d)))),times(n,times(n,times(b,times(b,times(d,d)))))))))))),
inference(forward_demodulation,[],[f2148,f299]) ).
fof(f2157,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(a,times(n,times(d,d)))),times(n,times(n,times(b,times(b,times(d,d)))))))) != plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(n,times(b,times(c,d)))),plus(times(minus(a),times(n,times(b,times(c,d)))),plus(times(a,times(a,times(n,times(d,d)))),times(n,times(n,times(b,times(b,times(d,d)))))))))),
inference(forward_demodulation,[],[f2155,f1881]) ).
fof(f2159,plain,
plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(a,times(n,times(d,d)))),times(n,times(n,times(b,times(b,times(d,d)))))))) != plus(times(a,times(a,times(c,c))),plus(times(n,times(b,times(b,times(c,c)))),plus(times(a,times(a,times(n,times(d,d)))),times(n,times(n,times(b,times(b,times(d,d)))))))),
inference(forward_demodulation,[],[f2157,f1881]) ).
fof(f2160,plain,
$false,
inference(trivial_inequality_removal,[],[f2159]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG130-1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n009.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 23:24:30 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 40.62/6.73 % (2520946)Detected a unit-equality problem, will run specialized UEQ schedule.
% 40.62/6.73 % (2520954)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3877955968:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 40.62/6.73 % (2520954)Instruction limit reached!
% 40.62/6.73 % (2520954)------------------------------
% 40.62/6.73 % (2520954)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.62/6.73 % (2520954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.62/6.73 % (2520954)CaDiCaL version: 2.1.3
% 40.62/6.73 % (2520954)Termination reason: Instruction limit
% 40.62/6.73 % (2520954)Termination phase: Saturation
% 40.62/6.73 % (2520954)Time elapsed: 0.035 s
% 40.62/6.73 % (2520954)Peak memory usage: 88 MB
% 40.62/6.73 % (2520954)Instructions burned: 138 (million)
% 40.62/6.73 % (2520956)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2603214050:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 40.62/6.73 % (2520957)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2772799760:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 40.62/6.73 % (2520953)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1042795966:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 40.62/6.73 % (2520951)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=4286379362:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 40.62/6.73 % (2520955)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3021332698:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 40.62/6.73 % (2520952)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=3086908584:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 40.62/6.73 % (2520959)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3400051335:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2998 on theBenchmark for (2998ds/2051Mi)
% 40.62/6.73 % (2520955)Instruction limit reached!
% 40.62/6.73 % (2520955)------------------------------
% 40.62/6.73 % (2520955)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.62/6.73 % (2520955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.62/6.73 % (2520955)CaDiCaL version: 2.1.3
% 40.62/6.73 % (2520955)Termination reason: Instruction limit
% 40.62/6.73 % (2520955)Termination phase: Saturation
% 40.62/6.73 % (2520955)Time elapsed: 0.103 s
% 40.62/6.73 % (2520955)Peak memory usage: 89 MB
% 40.62/6.73 % (2520955)Instructions burned: 183 (million)
% 40.62/6.73 % (2520956)Instruction limit reached!
% 40.62/6.73 % (2520956)------------------------------
% 40.62/6.73 % (2520956)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.62/6.73 % (2520956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.62/6.73 % (2520956)CaDiCaL version: 2.1.3
% 40.62/6.73 % (2520956)Termination reason: Instruction limit
% 40.62/6.73 % (2520956)Termination phase: Saturation
% 40.62/6.73 % (2520956)Time elapsed: 0.150 s
% 40.62/6.73 % (2520956)Peak memory usage: 90 MB
% 40.62/6.73 % (2520956)Instructions burned: 257 (million)
% 40.62/6.73 % (2520967)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1024837609:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 40.62/6.73 % (2520968)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=3398505098:i=215:ep=RSTC_2997 on theBenchmark for (2997ds/215Mi)
% 40.62/6.73 % (2520968)Instruction limit reached!
% 40.62/6.73 % (2520968)------------------------------
% 40.62/6.73 % (2520968)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.62/6.73 % (2520968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.62/6.73 % (2520968)CaDiCaL version: 2.1.3
% 40.62/6.73 % (2520968)Termination reason: Instruction limit
% 40.62/6.73 % (2520968)Termination phase: Saturation
% 40.62/6.73 % (2520968)Time elapsed: 0.105 s
% 40.62/6.73 % (2520968)Peak memory usage: 89 MB
% 40.62/6.73 % (2520968)Instructions burned: 215 (million)
% 40.62/6.73 % (2520971)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=1276390155:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2994 on theBenchmark for (2994ds/317Mi)
% 40.62/6.73 % (2520957)Instruction limit reached!
% 40.62/6.73 % (2520957)------------------------------
% 40.62/6.73 % (2520957)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.62/6.73 % (2520957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.62/6.73 % (2520957)CaDiCaL version: 2.1.3
% 40.62/6.73 % (2520957)Termination reason: Instruction limit
% 40.62/6.73 % (2520957)Termination phase: Saturation
% 40.62/6.73 % (2520957)Time elapsed: 0.602 s
% 40.62/6.73 % (2520957)Peak memory usage: 95 MB
% 40.62/6.73 % (2520957)Instructions burned: 1188 (million)
% 40.62/6.73 % (2520971)Instruction limit reached!
% 40.62/6.73 % (2520971)------------------------------
% 40.62/6.73 % (2520971)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.62/6.73 % (2520971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.62/6.73 % (2520971)CaDiCaL version: 2.1.3
% 40.62/6.73 % (2520971)Termination reason: Instruction limit
% 40.62/6.73 % (2520971)Termination phase: Saturation
% 40.62/6.73 % (2520971)Time elapsed: 0.188 s
% 40.62/6.73 % (2520971)Peak memory usage: 93 MB
% 40.62/6.73 % (2520971)Instructions burned: 318 (million)
% 40.62/6.73 % (2520973)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=7999202:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/12125Mi)
% 40.62/6.73 % (2520959)Instruction limit reached!
% 40.62/6.73 % (2520959)------------------------------
% 40.62/6.73 % (2520959)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.62/6.73 % (2520959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.62/6.73 % (2520959)CaDiCaL version: 2.1.3
% 40.62/6.73 % (2520959)Termination reason: Instruction limit
% 40.62/6.73 % (2520959)Termination phase: Saturation
% 40.62/6.73 % (2520959)Time elapsed: 0.722 s
% 40.62/6.73 % (2520959)Peak memory usage: 140 MB
% 40.62/6.73 % (2520959)Instructions burned: 2053 (million)
% 40.62/6.73 % (2520974)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=1269311311:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2991 on theBenchmark for (2991ds/2836Mi)
% 40.62/6.73 % (2520976)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=3008085218:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2990 on theBenchmark for (2990ds/14534Mi)
% 40.62/6.73 % (2520974)Instruction limit reached!
% 40.62/6.73 % (2520974)------------------------------
% 40.62/6.73 % (2520974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.62/6.73 % (2520974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.62/6.73 % (2520974)CaDiCaL version: 2.1.3
% 40.62/6.73 % (2520974)Termination reason: Instruction limit
% 40.62/6.73 % (2520974)Termination phase: Saturation
% 40.62/6.73 % (2520974)Time elapsed: 1.710 s
% 40.62/6.73 % (2520974)Peak memory usage: 119 MB
% 40.62/6.73 % (2520974)Instructions burned: 2836 (million)
% 40.62/6.73 % (2520979)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=179363380:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2973 on theBenchmark for (2973ds/11832Mi)
% 40.62/6.73 % (2520967)Instruction limit reached!
% 40.62/6.73 % (2520967)------------------------------
% 40.62/6.73 % (2520967)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.62/6.73 % (2520967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.62/6.73 % (2520967)CaDiCaL version: 2.1.3
% 40.62/6.73 % (2520967)Termination reason: Instruction limit
% 40.62/6.73 % (2520967)Termination phase: Saturation
% 40.62/6.73 % (2520967)Time elapsed: 2.801 s
% 40.62/6.73 % (2520967)Peak memory usage: 165 MB
% 40.62/6.73 % (2520967)Instructions burned: 4948 (million)
% 40.62/6.73 % (2520981)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:drc=off:fde=unused:sp=const_min:spb=goal:fd=preordered:random_seed=1643382225:i=2279:fgj=on:bd=all_2967 on theBenchmark for (2967ds/2279Mi)
% 40.62/6.73 % (2520981)Instruction limit reached!
% 40.62/6.73 % (2520981)------------------------------
% 40.62/6.73 % (2520981)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.62/6.73 % (2520981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.62/6.73 % (2520981)CaDiCaL version: 2.1.3
% 40.62/6.73 % (2520981)Termination reason: Instruction limit
% 40.62/6.73 % (2520981)Termination phase: Saturation
% 40.62/6.73 % (2520981)Time elapsed: 1.322 s
% 40.62/6.73 % (2520981)Peak memory usage: 136 MB
% 40.62/6.73 % (2520981)Instructions burned: 2280 (million)
% 40.62/6.73 % (2520983)lrs-1010_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:drc=off:fde=none:sp=reverse_arity:urr=ec_only:gs=on:s2agt=16:random_seed=2155981420:st=3:i=6225:bd=all:gtg=exists_all:ss=included:er=filter:sgt=10_2953 on theBenchmark for (2953ds/6225Mi)
% 40.62/6.73 % (2520983)First to succeed.
% 40.62/6.73 % (2520983)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2520946"
% 40.62/6.73 % (2520976)Instruction limit reached!
% 40.62/6.73 % (2520976)------------------------------
% 40.62/6.73 % (2520976)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.62/6.73 % (2520976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.62/6.73 % (2520976)CaDiCaL version: 2.1.3
% 40.62/6.73 % (2520976)Termination reason: Instruction limit
% 40.62/6.73 % (2520976)Termination phase: Saturation
% 40.62/6.73 % (2520976)Time elapsed: 4.734 s
% 40.62/6.73 % (2520976)Peak memory usage: 234 MB
% 40.62/6.73 % (2520976)Instructions burned: 14537 (million)
% 40.62/6.73 % (2520983)Refutation found. Thanks to Tanya!
% 40.62/6.73 % SZS status Unsatisfiable for theBenchmark
% 40.62/6.73 % SZS output start Proof for theBenchmark
% See solution above
% 42.26/6.93 % (2520983)------------------------------
% 42.26/6.93 % (2520983)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.26/6.93 % (2520983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.26/6.93 % (2520983)CaDiCaL version: 2.1.3
% 42.26/6.93 % (2520983)Termination reason: Refutation
% 42.26/6.93 % (2520983)Time elapsed: 0.807 s
% 42.26/6.93 % (2520983)Peak memory usage: 131 MB
% 42.26/6.93 % (2520983)Instructions burned: 1268 (million)
% 42.26/6.93 % (2520983)------------------------------
% 42.26/6.93 % (2520983)------------------------------
% 42.26/6.93 % (2520946)Success in time 5.876 s
% 42.26/6.93 % Vampire exiting
%------------------------------------------------------------------------------