%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG131-1 : 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 10.36s 6.71s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 67
% Number of leaves : 27
% Syntax : Number of formulae : 207 ( 207 unt; 17 def)
% Number of atoms : 207 ( 206 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 57 ( 57 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 22 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),sq(b)),plus(sq(c),sq(d))) != plus(sq(plus(times(a,c),times(minus(b),d))),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 = plus(sF0,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f17,plain,
plus(sF0,sF1) = sF2,
inference(reorient_equations,[],[f16]) ).
fof(f18,definition,
sF3 = sq(c),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f19,plain,
sq(c) = sF3,
inference(reorient_equations,[],[f18]) ).
fof(f20,definition,
sF4 = sq(d),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f21,plain,
sq(d) = sF4,
inference(reorient_equations,[],[f20]) ).
fof(f22,definition,
sF5 = plus(sF3,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f23,plain,
plus(sF3,sF4) = sF5,
inference(reorient_equations,[],[f22]) ).
fof(f24,definition,
sF6 = times(sF2,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f25,plain,
times(sF2,sF5) = sF6,
inference(reorient_equations,[],[f24]) ).
fof(f26,definition,
sF7 = times(a,c),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f27,plain,
times(a,c) = sF7,
inference(reorient_equations,[],[f26]) ).
fof(f28,definition,
sF8 = minus(b),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f29,plain,
minus(b) = sF8,
inference(reorient_equations,[],[f28]) ).
fof(f30,definition,
sF9 = times(sF8,d),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f31,plain,
times(sF8,d) = sF9,
inference(reorient_equations,[],[f30]) ).
fof(f32,definition,
sF10 = plus(sF7,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f33,plain,
plus(sF7,sF9) = sF10,
inference(reorient_equations,[],[f32]) ).
fof(f34,definition,
sF11 = sq(sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f35,plain,
sq(sF10) = sF11,
inference(reorient_equations,[],[f34]) ).
fof(f36,definition,
sF12 = times(a,d),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f37,plain,
times(a,d) = sF12,
inference(reorient_equations,[],[f36]) ).
fof(f38,definition,
sF13 = times(b,c),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f39,plain,
times(b,c) = sF13,
inference(reorient_equations,[],[f38]) ).
fof(f40,definition,
sF14 = plus(sF12,sF13),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f41,plain,
plus(sF12,sF13) = sF14,
inference(reorient_equations,[],[f40]) ).
fof(f42,definition,
sF15 = sq(sF14),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f43,plain,
sq(sF14) = sF15,
inference(reorient_equations,[],[f42]) ).
fof(f44,definition,
sF16 = plus(sF11,sF15),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f45,plain,
plus(sF11,sF15) = sF16,
inference(reorient_equations,[],[f44]) ).
fof(f46,plain,
sF6 != sF16,
inference(definition_folding,[],[f11,f45,f43,f41,f39,f37,f35,f33,f31,f29,f27,f25,f23,f21,f19,f17,f15,f13]) ).
fof(f47,plain,
sF0 = times(a,a),
inference(forward_demodulation,[],[f13,f8]) ).
fof(f48,plain,
sF1 = times(b,b),
inference(forward_demodulation,[],[f15,f8]) ).
fof(f49,plain,
sF3 = times(c,c),
inference(forward_demodulation,[],[f19,f8]) ).
fof(f50,plain,
sF4 = times(d,d),
inference(forward_demodulation,[],[f21,f8]) ).
fof(f51,plain,
sF6 = times(sF2,plus(sF3,sF4)),
inference(forward_demodulation,[],[f25,f23]) ).
fof(f52,plain,
sF9 = times(d,sF8),
inference(forward_demodulation,[],[f31,f7]) ).
fof(f53,plain,
sF10 = plus(times(a,c),sF9),
inference(forward_demodulation,[],[f33,f27]) ).
fof(f54,plain,
sF11 = times(sF10,sF10),
inference(forward_demodulation,[],[f35,f8]) ).
fof(f55,plain,
sF14 = plus(sF12,times(b,c)),
inference(forward_demodulation,[],[f41,f39]) ).
fof(f56,plain,
sF15 = times(sF14,sF14),
inference(forward_demodulation,[],[f43,f8]) ).
fof(f57,plain,
sF6 != plus(sF11,sF15),
inference(backward_demodulation,[],[f46,f45]) ).
fof(f58,plain,
sF2 = plus(times(a,a),sF1),
inference(backward_demodulation,[],[f17,f47]) ).
fof(f60,plain,
sF6 = plus(times(sF2,sF3),times(sF2,sF4)),
inference(forward_demodulation,[],[f51,f9]) ).
fof(f61,plain,
sF9 = times(d,minus(b)),
inference(forward_demodulation,[],[f52,f29]) ).
fof(f62,plain,
sF11 = times(plus(times(a,c),sF9),plus(times(a,c),sF9)),
inference(forward_demodulation,[],[f54,f53]) ).
fof(f63,plain,
sF14 = plus(times(b,c),sF12),
inference(forward_demodulation,[],[f55,f1]) ).
fof(f65,plain,
sF6 != plus(sF11,times(sF14,sF14)),
inference(forward_demodulation,[],[f57,f56]) ).
fof(f66,plain,
sF2 = plus(times(a,a),times(b,b)),
inference(forward_demodulation,[],[f58,f48]) ).
fof(f68,plain,
sF6 = plus(times(sF2,sF3),times(sF2,times(d,d))),
inference(forward_demodulation,[],[f60,f50]) ).
fof(f69,plain,
times(minus(b),d) = sF9,
inference(forward_demodulation,[],[f61,f7]) ).
fof(f70,plain,
sF11 = plus(times(times(a,c),plus(times(a,c),sF9)),times(sF9,plus(times(a,c),sF9))),
inference(forward_demodulation,[],[f62,f10]) ).
fof(f71,plain,
sF14 = plus(times(b,c),times(a,d)),
inference(forward_demodulation,[],[f63,f37]) ).
fof(f72,plain,
sF6 = plus(times(sF2,times(d,d)),times(sF2,sF3)),
inference(forward_demodulation,[],[f68,f1]) ).
fof(f74,plain,
sF11 = plus(times(times(a,c),plus(times(a,c),sF9)),plus(times(sF9,times(a,c)),times(sF9,sF9))),
inference(forward_demodulation,[],[f70,f9]) ).
fof(f75,plain,
sF6 != plus(sF11,times(plus(times(b,c),times(a,d)),plus(times(b,c),times(a,d)))),
inference(backward_demodulation,[],[f65,f71]) ).
fof(f78,plain,
sF6 = plus(times(sF2,times(d,d)),times(sF2,times(c,c))),
inference(forward_demodulation,[],[f72,f49]) ).
fof(f79,plain,
sF11 = plus(times(times(a,c),plus(times(a,c),times(minus(b),d))),plus(times(times(minus(b),d),times(a,c)),times(times(minus(b),d),times(minus(b),d)))),
inference(forward_demodulation,[],[f74,f69]) ).
fof(f82,plain,
sF6 != plus(times(plus(times(b,c),times(a,d)),plus(times(b,c),times(a,d))),sF11),
inference(forward_demodulation,[],[f75,f1]) ).
fof(f83,plain,
sF6 = plus(times(sF2,times(c,c)),times(sF2,times(d,d))),
inference(forward_demodulation,[],[f78,f1]) ).
fof(f84,plain,
sF11 = plus(times(times(a,c),plus(times(a,c),times(minus(b),d))),plus(times(times(minus(b),d),times(a,c)),times(minus(b),times(d,times(minus(b),d))))),
inference(forward_demodulation,[],[f79,f6]) ).
fof(f87,plain,
sF6 != plus(plus(times(times(b,c),plus(times(b,c),times(a,d))),times(times(a,d),plus(times(b,c),times(a,d)))),sF11),
inference(forward_demodulation,[],[f82,f10]) ).
fof(f88,plain,
sF6 = plus(times(sF2,times(c,c)),times(times(d,d),sF2)),
inference(forward_demodulation,[],[f83,f7]) ).
fof(f89,plain,
sF11 = plus(times(times(a,c),plus(times(a,c),times(minus(b),d))),plus(times(minus(b),times(d,times(minus(b),d))),times(times(minus(b),d),times(a,c)))),
inference(forward_demodulation,[],[f84,f1]) ).
fof(f92,plain,
sF6 != plus(times(times(b,c),plus(times(b,c),times(a,d))),plus(times(times(a,d),plus(times(b,c),times(a,d))),sF11)),
inference(forward_demodulation,[],[f87,f2]) ).
fof(f93,plain,
sF6 = plus(times(times(d,d),sF2),times(sF2,times(c,c))),
inference(forward_demodulation,[],[f88,f1]) ).
fof(f94,plain,
sF11 = plus(times(times(a,c),plus(times(a,c),times(minus(b),d))),plus(times(minus(b),times(d,times(minus(b),d))),times(times(a,c),times(minus(b),d)))),
inference(forward_demodulation,[],[f89,f7]) ).
fof(f97,plain,
sF6 != plus(times(times(b,c),plus(times(b,c),times(a,d))),plus(plus(times(times(a,d),times(b,c)),times(times(a,d),times(a,d))),sF11)),
inference(forward_demodulation,[],[f92,f9]) ).
fof(f98,plain,
sF6 = plus(times(times(d,d),sF2),times(times(c,c),sF2)),
inference(forward_demodulation,[],[f93,f7]) ).
fof(f99,plain,
sF11 = plus(times(times(a,c),plus(times(a,c),times(minus(b),d))),plus(times(times(a,c),times(minus(b),d)),times(minus(b),times(d,times(minus(b),d))))),
inference(forward_demodulation,[],[f94,f1]) ).
fof(f102,plain,
sF6 != plus(times(times(b,c),plus(times(b,c),times(a,d))),plus(times(times(a,d),times(b,c)),plus(times(times(a,d),times(a,d)),sF11))),
inference(forward_demodulation,[],[f97,f2]) ).
fof(f103,plain,
sF6 = plus(times(times(c,c),sF2),times(times(d,d),sF2)),
inference(forward_demodulation,[],[f98,f1]) ).
fof(f104,plain,
sF11 = plus(times(times(a,c),plus(times(a,c),times(minus(b),d))),plus(times(a,times(c,times(minus(b),d))),times(minus(b),times(d,times(minus(b),d))))),
inference(forward_demodulation,[],[f99,f6]) ).
fof(f107,plain,
sF6 != plus(times(times(b,c),plus(times(b,c),times(a,d))),plus(times(times(a,d),times(b,c)),plus(times(a,times(d,times(a,d))),sF11))),
inference(forward_demodulation,[],[f102,f6]) ).
fof(f108,plain,
sF6 = plus(times(times(c,c),sF2),times(d,times(d,sF2))),
inference(forward_demodulation,[],[f103,f6]) ).
fof(f109,plain,
sF11 = plus(plus(times(times(a,c),times(a,c)),times(times(a,c),times(minus(b),d))),plus(times(a,times(c,times(minus(b),d))),times(minus(b),times(d,times(minus(b),d))))),
inference(forward_demodulation,[],[f104,f9]) ).
fof(f112,plain,
sF6 != plus(times(times(b,c),plus(times(b,c),times(a,d))),plus(times(times(b,c),times(a,d)),plus(times(a,times(d,times(a,d))),sF11))),
inference(forward_demodulation,[],[f107,f7]) ).
fof(f113,plain,
sF6 = plus(times(times(c,c),plus(times(a,a),times(b,b))),times(d,times(d,plus(times(a,a),times(b,b))))),
inference(forward_demodulation,[],[f108,f66]) ).
fof(f114,plain,
sF11 = plus(times(times(a,c),times(a,c)),plus(times(times(a,c),times(minus(b),d)),plus(times(a,times(c,times(minus(b),d))),times(minus(b),times(d,times(minus(b),d)))))),
inference(forward_demodulation,[],[f109,f2]) ).
fof(f117,plain,
sF6 != plus(times(times(b,c),plus(times(b,c),times(a,d))),plus(times(b,times(c,times(a,d))),plus(times(a,times(d,times(a,d))),sF11))),
inference(forward_demodulation,[],[f112,f6]) ).
fof(f118,plain,
sF6 = plus(times(times(c,c),plus(times(a,a),times(b,b))),times(d,plus(times(d,times(a,a)),times(d,times(b,b))))),
inference(forward_demodulation,[],[f113,f9]) ).
fof(f119,plain,
sF11 = plus(times(times(a,c),times(a,c)),plus(times(a,times(c,times(minus(b),d))),plus(times(a,times(c,times(minus(b),d))),times(minus(b),times(d,times(minus(b),d)))))),
inference(forward_demodulation,[],[f114,f6]) ).
fof(f122,plain,
sF6 != plus(plus(times(times(b,c),times(b,c)),times(times(b,c),times(a,d))),plus(times(b,times(c,times(a,d))),plus(times(a,times(d,times(a,d))),sF11))),
inference(forward_demodulation,[],[f117,f9]) ).
fof(f123,plain,
sF6 = plus(times(times(c,c),plus(times(a,a),times(b,b))),plus(times(d,times(d,times(a,a))),times(d,times(d,times(b,b))))),
inference(forward_demodulation,[],[f118,f9]) ).
fof(f124,plain,
sF11 = plus(times(a,times(c,times(a,c))),plus(times(a,times(c,times(minus(b),d))),plus(times(a,times(c,times(minus(b),d))),times(minus(b),times(d,times(minus(b),d)))))),
inference(forward_demodulation,[],[f119,f6]) ).
fof(f127,plain,
sF6 != plus(times(times(b,c),times(b,c)),plus(times(times(b,c),times(a,d)),plus(times(b,times(c,times(a,d))),plus(times(a,times(d,times(a,d))),sF11)))),
inference(forward_demodulation,[],[f122,f2]) ).
fof(f128,plain,
sF6 = plus(times(times(c,c),plus(times(a,a),times(b,b))),plus(times(d,times(d,times(a,a))),times(d,times(times(b,b),d)))),
inference(forward_demodulation,[],[f123,f7]) ).
fof(f131,plain,
sF6 != plus(times(times(b,c),times(b,c)),plus(times(times(b,c),times(a,d)),plus(times(b,times(c,times(a,d))),plus(times(a,times(d,times(a,d))),plus(times(a,times(c,times(a,c))),plus(times(a,times(c,times(minus(b),d))),plus(times(a,times(c,times(minus(b),d))),times(minus(b),times(d,times(minus(b),d)))))))))),
inference(forward_demodulation,[],[f127,f124]) ).
fof(f132,plain,
sF6 = plus(times(times(c,c),plus(times(a,a),times(b,b))),plus(times(d,times(times(b,b),d)),times(d,times(d,times(a,a))))),
inference(forward_demodulation,[],[f128,f1]) ).
fof(f134,plain,
sF6 != plus(times(times(b,c),times(b,c)),plus(times(b,times(c,times(a,d))),plus(times(b,times(c,times(a,d))),plus(times(a,times(d,times(a,d))),plus(times(a,times(c,times(a,c))),plus(times(a,times(c,times(minus(b),d))),plus(times(a,times(c,times(minus(b),d))),times(minus(b),times(d,times(minus(b),d)))))))))),
inference(forward_demodulation,[],[f131,f6]) ).
fof(f135,plain,
sF6 = plus(times(times(c,c),plus(times(a,a),times(b,b))),plus(times(d,times(times(b,b),d)),times(d,times(times(a,a),d)))),
inference(forward_demodulation,[],[f132,f7]) ).
fof(f137,plain,
sF6 != plus(times(b,times(c,times(b,c))),plus(times(b,times(c,times(a,d))),plus(times(b,times(c,times(a,d))),plus(times(a,times(d,times(a,d))),plus(times(a,times(c,times(a,c))),plus(times(a,times(c,times(minus(b),d))),plus(times(a,times(c,times(minus(b),d))),times(minus(b),times(d,times(minus(b),d)))))))))),
inference(forward_demodulation,[],[f134,f6]) ).
fof(f138,plain,
sF6 = plus(times(times(c,c),plus(times(a,a),times(b,b))),plus(times(d,times(times(a,a),d)),times(d,times(times(b,b),d)))),
inference(forward_demodulation,[],[f135,f1]) ).
fof(f139,plain,
sF6 = plus(times(times(c,c),plus(times(a,a),times(b,b))),plus(times(d,times(times(a,a),d)),times(d,times(b,times(b,d))))),
inference(forward_demodulation,[],[f138,f6]) ).
fof(f140,plain,
sF6 = plus(times(times(c,c),plus(times(a,a),times(b,b))),plus(times(d,times(a,times(a,d))),times(d,times(b,times(b,d))))),
inference(forward_demodulation,[],[f139,f6]) ).
fof(f141,plain,
sF6 = plus(plus(times(times(c,c),times(a,a)),times(times(c,c),times(b,b))),plus(times(d,times(a,times(a,d))),times(d,times(b,times(b,d))))),
inference(forward_demodulation,[],[f140,f9]) ).
fof(f142,plain,
sF6 = plus(times(times(c,c),times(a,a)),plus(times(times(c,c),times(b,b)),plus(times(d,times(a,times(a,d))),times(d,times(b,times(b,d)))))),
inference(forward_demodulation,[],[f141,f2]) ).
fof(f143,plain,
sF6 = plus(times(times(c,c),times(a,a)),plus(times(times(b,b),times(c,c)),plus(times(d,times(a,times(a,d))),times(d,times(b,times(b,d)))))),
inference(forward_demodulation,[],[f142,f7]) ).
fof(f144,plain,
sF6 = plus(times(times(c,c),times(a,a)),plus(times(b,times(b,times(c,c))),plus(times(d,times(a,times(a,d))),times(d,times(b,times(b,d)))))),
inference(forward_demodulation,[],[f143,f6]) ).
fof(f145,plain,
sF6 = plus(times(times(a,a),times(c,c)),plus(times(b,times(b,times(c,c))),plus(times(d,times(a,times(a,d))),times(d,times(b,times(b,d)))))),
inference(forward_demodulation,[],[f144,f7]) ).
fof(f146,plain,
sF6 = plus(times(a,times(a,times(c,c))),plus(times(b,times(b,times(c,c))),plus(times(d,times(a,times(a,d))),times(d,times(b,times(b,d)))))),
inference(forward_demodulation,[],[f145,f6]) ).
fof(f147,plain,
plus(times(b,times(c,times(b,c))),plus(times(b,times(c,times(a,d))),plus(times(b,times(c,times(a,d))),plus(times(a,times(d,times(a,d))),plus(times(a,times(c,times(a,c))),plus(times(a,times(c,times(minus(b),d))),plus(times(a,times(c,times(minus(b),d))),times(minus(b),times(d,times(minus(b),d)))))))))) != plus(times(a,times(a,times(c,c))),plus(times(b,times(b,times(c,c))),plus(times(d,times(a,times(a,d))),times(d,times(b,times(b,d)))))),
inference(backward_demodulation,[],[f137,f146]) ).
fof(f175,plain,
! [X0,X1] : plus(X0,plus(minus(X0),X1)) = plus(zero,X1),
inference(superposition,[],[f2,f5]) ).
fof(f176,plain,
! [X0,X1] : plus(times(X0,X1),times(X0,minus(X1))) = times(X0,zero),
inference(superposition,[],[f9,f5]) ).
fof(f177,plain,
! [X0,X1] : plus(times(X0,X1),times(minus(X0),X1)) = times(zero,X1),
inference(superposition,[],[f10,f5]) ).
fof(f178,plain,
! [X0,X1] : zero = plus(X0,plus(X1,minus(plus(X0,X1)))),
inference(superposition,[],[f2,f5]) ).
fof(f179,plain,
! [X0,X1] : plus(X0,plus(minus(X0),X1)) = X1,
inference(forward_demodulation,[],[f175,f3]) ).
fof(f206,plain,
! [X2,X0,X1] : plus(plus(X0,X1),X2) = plus(X1,plus(X0,X2)),
inference(superposition,[],[f2,f1]) ).
fof(f209,plain,
! [X2,X0,X1] : plus(X0,plus(X1,X2)) = plus(X1,plus(X2,X0)),
inference(superposition,[],[f2,f1]) ).
fof(f212,plain,
! [X2,X0,X1] : plus(X0,plus(X1,X2)) = plus(X1,plus(X0,X2)),
inference(forward_demodulation,[],[f206,f2]) ).
fof(f216,plain,
plus(times(a,times(a,times(c,c))),plus(times(b,times(b,times(c,c))),plus(times(d,times(a,times(a,d))),times(d,times(b,times(b,d)))))) != plus(times(b,times(c,times(b,c))),plus(times(b,times(c,times(a,d))),plus(times(b,times(c,times(a,d))),plus(times(a,times(c,times(a,c))),plus(times(a,times(d,times(a,d))),plus(times(a,times(c,times(minus(b),d))),plus(times(a,times(c,times(minus(b),d))),times(minus(b),times(d,times(minus(b),d)))))))))),
inference(backward_demodulation,[],[f147,f212]) ).
fof(f219,plain,
plus(times(a,times(a,times(c,c))),plus(times(b,times(b,times(c,c))),plus(times(d,times(a,times(a,d))),times(d,times(b,times(b,d)))))) != plus(times(b,times(c,times(b,c))),plus(times(b,times(c,times(a,d))),plus(times(a,times(c,times(a,c))),plus(times(b,times(c,times(a,d))),plus(times(a,times(d,times(a,d))),plus(times(a,times(c,times(minus(b),d))),plus(times(a,times(c,times(minus(b),d))),times(minus(b),times(d,times(minus(b),d)))))))))),
inference(forward_demodulation,[],[f216,f212]) ).
fof(f221,plain,
plus(times(a,times(a,times(c,c))),plus(times(b,times(b,times(c,c))),plus(times(d,times(a,times(a,d))),times(d,times(b,times(b,d)))))) != plus(times(b,times(c,times(b,c))),plus(times(a,times(c,times(a,c))),plus(times(b,times(c,times(a,d))),plus(times(b,times(c,times(a,d))),plus(times(a,times(d,times(a,d))),plus(times(a,times(c,times(minus(b),d))),plus(times(a,times(c,times(minus(b),d))),times(minus(b),times(d,times(minus(b),d)))))))))),
inference(forward_demodulation,[],[f219,f212]) ).
fof(f223,plain,
plus(times(a,times(a,times(c,c))),plus(times(b,times(b,times(c,c))),plus(times(d,times(a,times(a,d))),times(d,times(b,times(b,d)))))) != plus(times(a,times(c,times(a,c))),plus(times(b,times(c,times(b,c))),plus(times(b,times(c,times(a,d))),plus(times(b,times(c,times(a,d))),plus(times(a,times(d,times(a,d))),plus(times(a,times(c,times(minus(b),d))),plus(times(a,times(c,times(minus(b),d))),times(minus(b),times(d,times(minus(b),d)))))))))),
inference(forward_demodulation,[],[f221,f212]) ).
fof(f225,plain,
plus(times(a,times(a,times(c,c))),plus(times(b,times(b,times(c,c))),plus(times(d,times(a,times(a,d))),times(d,times(b,times(b,d)))))) != plus(times(a,times(c,times(a,c))),plus(times(b,times(c,times(b,c))),plus(times(b,times(c,times(a,d))),plus(times(b,times(c,times(a,d))),plus(times(a,times(c,times(minus(b),d))),plus(times(a,times(d,times(a,d))),plus(times(a,times(c,times(minus(b),d))),times(minus(b),times(d,times(minus(b),d)))))))))),
inference(forward_demodulation,[],[f223,f212]) ).
fof(f227,plain,
plus(times(a,times(a,times(c,c))),plus(times(b,times(b,times(c,c))),plus(times(d,times(a,times(a,d))),times(d,times(b,times(b,d)))))) != plus(times(a,times(c,times(a,c))),plus(times(b,times(c,times(b,c))),plus(times(b,times(c,times(a,d))),plus(times(b,times(c,times(a,d))),plus(times(a,times(c,times(minus(b),d))),plus(times(a,times(c,times(minus(b),d))),plus(times(a,times(d,times(a,d))),times(minus(b),times(d,times(minus(b),d)))))))))),
inference(forward_demodulation,[],[f225,f212]) ).
fof(f240,plain,
! [X2,X0,X1] : times(times(X0,X1),X2) = times(X1,times(X0,X2)),
inference(superposition,[],[f6,f7]) ).
fof(f241,plain,
! [X2,X0,X1] : times(X0,times(X1,X2)) = times(X1,times(X2,X0)),
inference(superposition,[],[f6,f7]) ).
fof(f242,plain,
plus(times(a,times(a,times(c,c))),plus(times(b,times(b,times(c,c))),plus(times(d,times(a,times(a,d))),times(d,times(b,times(b,d)))))) != plus(times(a,times(a,times(c,c))),plus(times(b,times(c,times(b,c))),plus(times(b,times(c,times(a,d))),plus(times(b,times(c,times(a,d))),plus(times(a,times(c,times(minus(b),d))),plus(times(a,times(c,times(minus(b),d))),plus(times(a,times(d,times(a,d))),times(minus(b),times(d,times(minus(b),d)))))))))),
inference(backward_demodulation,[],[f227,f241]) ).
fof(f246,plain,
! [X2,X0,X1] : times(X0,times(X1,X2)) = times(X1,times(X0,X2)),
inference(forward_demodulation,[],[f240,f6]) ).
fof(f259,plain,
plus(times(a,times(a,times(c,c))),plus(times(b,times(b,times(c,c))),plus(times(d,times(a,times(a,d))),times(d,times(b,times(b,d)))))) != plus(times(a,times(a,times(c,c))),plus(times(b,times(c,times(b,c))),plus(times(b,times(c,times(a,d))),plus(times(b,times(c,times(a,d))),plus(times(a,times(c,times(minus(b),d))),plus(times(a,times(c,times(minus(b),d))),plus(times(a,times(d,times(a,d))),times(minus(b),times(minus(b),times(d,d)))))))))),
inference(forward_demodulation,[],[f242,f241]) ).
fof(f264,plain,
plus(times(a,times(a,times(c,c))),plus(times(b,times(b,times(c,c))),plus(times(d,times(a,times(a,d))),times(d,times(b,times(b,d)))))) != plus(times(a,times(a,times(c,c))),plus(times(b,times(c,times(b,c))),plus(times(b,times(c,times(a,d))),plus(times(b,times(c,times(a,d))),plus(times(a,times(c,times(minus(b),d))),plus(times(minus(b),times(minus(b),times(d,d))),plus(times(a,times(c,times(minus(b),d))),times(a,times(d,times(a,d)))))))))),
inference(forward_demodulation,[],[f259,f209]) ).
fof(f268,plain,
plus(times(a,times(a,times(c,c))),plus(times(b,times(b,times(c,c))),plus(times(d,times(a,times(a,d))),times(d,times(b,times(b,d)))))) != plus(times(a,times(a,times(c,c))),plus(times(b,times(c,times(b,c))),plus(times(b,times(c,times(a,d))),plus(times(b,times(c,times(a,d))),plus(times(a,times(c,times(minus(b),d))),plus(times(a,times(c,times(minus(b),d))),plus(times(minus(b),times(minus(b),times(d,d))),times(a,times(d,times(a,d)))))))))),
inference(forward_demodulation,[],[f264,f212]) ).
fof(f271,plain,
plus(times(a,times(a,times(c,c))),plus(times(b,times(b,times(c,c))),plus(times(d,times(a,times(a,d))),times(d,times(b,times(b,d)))))) != plus(times(a,times(a,times(c,c))),plus(times(b,times(c,times(b,c))),plus(times(b,times(c,times(a,d))),plus(times(b,times(c,times(a,d))),plus(times(a,times(c,times(minus(b),d))),plus(times(a,times(c,times(minus(b),d))),plus(times(minus(b),times(minus(b),times(d,d))),times(a,times(a,times(d,d)))))))))),
inference(forward_demodulation,[],[f268,f241]) ).
fof(f274,plain,
plus(times(a,times(a,times(c,c))),plus(times(b,times(b,times(c,c))),plus(times(d,times(a,times(a,d))),times(d,times(b,times(b,d)))))) != plus(times(a,times(a,times(c,c))),plus(times(b,times(c,times(b,c))),plus(times(b,times(c,times(a,d))),plus(times(b,times(c,times(a,d))),plus(times(a,times(c,times(minus(b),d))),plus(times(a,times(a,times(d,d))),plus(times(a,times(c,times(minus(b),d))),times(minus(b),times(minus(b),times(d,d)))))))))),
inference(forward_demodulation,[],[f271,f209]) ).
fof(f277,plain,
plus(times(a,times(a,times(c,c))),plus(times(b,times(b,times(c,c))),plus(times(d,times(a,times(a,d))),times(d,times(b,times(b,d)))))) != plus(times(a,times(a,times(c,c))),plus(times(b,times(c,times(b,c))),plus(times(b,times(c,times(a,d))),plus(times(b,times(c,times(a,d))),plus(times(a,times(c,times(minus(b),d))),plus(times(a,times(c,times(minus(b),d))),plus(times(a,times(a,times(d,d))),times(minus(b),times(minus(b),times(d,d)))))))))),
inference(forward_demodulation,[],[f274,f212]) ).
fof(f280,plain,
plus(times(a,times(a,times(c,c))),plus(times(b,times(b,times(c,c))),plus(times(d,times(a,times(a,d))),times(d,times(b,times(b,d)))))) != plus(times(a,times(a,times(c,c))),plus(times(b,times(c,times(b,c))),plus(times(b,times(c,times(a,d))),plus(times(b,times(c,times(a,d))),plus(times(a,times(minus(b),times(c,d))),plus(times(a,times(minus(b),times(c,d))),plus(times(a,times(a,times(d,d))),times(minus(b),times(minus(b),times(d,d)))))))))),
inference(forward_demodulation,[],[f277,f246]) ).
fof(f283,plain,
plus(times(a,times(a,times(c,c))),plus(times(b,times(b,times(c,c))),plus(times(d,times(a,times(a,d))),times(d,times(b,times(b,d)))))) != plus(times(a,times(a,times(c,c))),plus(times(b,times(c,times(b,c))),plus(times(b,times(c,times(a,d))),plus(times(a,times(minus(b),times(c,d))),plus(times(b,times(c,times(a,d))),plus(times(a,times(minus(b),times(c,d))),plus(times(a,times(a,times(d,d))),times(minus(b),times(minus(b),times(d,d)))))))))),
inference(forward_demodulation,[],[f280,f212]) ).
fof(f286,plain,
plus(times(a,times(a,times(c,c))),plus(times(b,times(b,times(c,c))),plus(times(d,times(a,times(a,d))),times(d,times(b,times(b,d)))))) != plus(times(a,times(a,times(c,c))),plus(times(b,times(c,times(b,c))),plus(times(a,times(minus(b),times(c,d))),plus(times(b,times(c,times(a,d))),plus(times(b,times(c,times(a,d))),plus(times(a,times(minus(b),times(c,d))),plus(times(a,times(a,times(d,d))),times(minus(b),times(minus(b),times(d,d)))))))))),
inference(forward_demodulation,[],[f283,f212]) ).
fof(f288,plain,
plus(times(a,times(a,times(c,c))),plus(times(b,times(b,times(c,c))),plus(times(d,times(a,times(a,d))),times(d,times(b,times(b,d)))))) != plus(times(a,times(a,times(c,c))),plus(times(b,times(c,times(b,c))),plus(times(a,times(minus(b),times(c,d))),plus(times(b,times(c,times(a,d))),plus(times(a,times(minus(b),times(c,d))),plus(times(b,times(c,times(a,d))),plus(times(a,times(a,times(d,d))),times(minus(b),times(minus(b),times(d,d)))))))))),
inference(forward_demodulation,[],[f286,f212]) ).
fof(f290,plain,
plus(times(a,times(a,times(c,c))),plus(times(b,times(b,times(c,c))),plus(times(d,times(a,times(a,d))),times(d,times(b,times(b,d)))))) != plus(times(a,times(a,times(c,c))),plus(times(b,times(c,times(b,c))),plus(times(a,times(minus(b),times(c,d))),plus(times(a,times(minus(b),times(c,d))),plus(times(b,times(c,times(a,d))),plus(times(b,times(c,times(a,d))),plus(times(a,times(a,times(d,d))),times(minus(b),times(minus(b),times(d,d)))))))))),
inference(forward_demodulation,[],[f288,f212]) ).
fof(f292,plain,
plus(times(a,times(a,times(c,c))),plus(times(b,times(b,times(c,c))),plus(times(d,times(a,times(a,d))),times(d,times(b,times(b,d)))))) != plus(times(a,times(a,times(c,c))),plus(times(b,times(c,times(b,c))),plus(times(a,times(minus(b),times(c,d))),plus(times(a,times(minus(b),times(c,d))),plus(times(b,times(a,times(c,d))),plus(times(b,times(a,times(c,d))),plus(times(a,times(a,times(d,d))),times(minus(b),times(minus(b),times(d,d)))))))))),
inference(forward_demodulation,[],[f290,f246]) ).
fof(f294,plain,
plus(times(a,times(a,times(c,c))),plus(times(b,times(b,times(c,c))),plus(times(d,times(a,times(a,d))),times(d,times(b,times(b,d)))))) != plus(times(a,times(a,times(c,c))),plus(times(b,times(c,times(b,c))),plus(times(a,times(minus(b),times(c,d))),plus(times(b,times(a,times(c,d))),plus(times(a,times(minus(b),times(c,d))),plus(times(b,times(a,times(c,d))),plus(times(a,times(a,times(d,d))),times(minus(b),times(minus(b),times(d,d)))))))))),
inference(forward_demodulation,[],[f292,f212]) ).
fof(f296,plain,
plus(times(a,times(a,times(c,c))),plus(times(b,times(b,times(c,c))),plus(times(d,times(a,times(a,d))),times(d,times(b,times(b,d)))))) != plus(times(a,times(a,times(c,c))),plus(times(b,times(c,times(b,c))),plus(times(b,times(a,times(c,d))),plus(times(a,times(minus(b),times(c,d))),plus(times(a,times(minus(b),times(c,d))),plus(times(b,times(a,times(c,d))),plus(times(a,times(a,times(d,d))),times(minus(b),times(minus(b),times(d,d)))))))))),
inference(forward_demodulation,[],[f294,f212]) ).
fof(f298,plain,
plus(times(a,times(a,times(c,c))),plus(times(b,times(b,times(c,c))),plus(times(d,times(a,times(a,d))),times(d,times(b,times(b,d)))))) != plus(times(a,times(a,times(c,c))),plus(times(b,times(c,times(b,c))),plus(times(b,times(a,times(c,d))),plus(times(a,times(minus(b),times(c,d))),plus(times(b,times(a,times(c,d))),plus(times(a,times(minus(b),times(c,d))),plus(times(a,times(a,times(d,d))),times(minus(b),times(minus(b),times(d,d)))))))))),
inference(forward_demodulation,[],[f296,f212]) ).
fof(f300,plain,
plus(times(a,times(a,times(c,c))),plus(times(b,times(b,times(c,c))),plus(times(d,times(a,times(a,d))),times(d,times(b,times(b,d)))))) != plus(times(a,times(a,times(c,c))),plus(times(b,times(c,times(b,c))),plus(times(b,times(a,times(c,d))),plus(times(b,times(a,times(c,d))),plus(times(a,times(minus(b),times(c,d))),plus(times(a,times(minus(b),times(c,d))),plus(times(a,times(a,times(d,d))),times(minus(b),times(minus(b),times(d,d)))))))))),
inference(forward_demodulation,[],[f298,f212]) ).
fof(f302,plain,
plus(times(a,times(a,times(c,c))),plus(times(b,times(b,times(c,c))),plus(times(d,times(a,times(a,d))),times(d,times(b,times(b,d)))))) != plus(times(a,times(a,times(c,c))),plus(times(b,times(c,times(b,c))),plus(times(a,times(b,times(c,d))),plus(times(a,times(b,times(c,d))),plus(times(a,times(minus(b),times(c,d))),plus(times(a,times(minus(b),times(c,d))),plus(times(a,times(a,times(d,d))),times(minus(b),times(minus(b),times(d,d)))))))))),
inference(forward_demodulation,[],[f300,f246]) ).
fof(f304,plain,
plus(times(a,times(a,times(c,c))),plus(times(b,times(b,times(c,c))),plus(times(d,times(a,times(a,d))),times(d,times(b,times(b,d)))))) != plus(times(a,times(a,times(c,c))),plus(times(b,times(b,times(c,c))),plus(times(a,times(b,times(c,d))),plus(times(a,times(b,times(c,d))),plus(times(a,times(minus(b),times(c,d))),plus(times(a,times(minus(b),times(c,d))),plus(times(a,times(a,times(d,d))),times(minus(b),times(minus(b),times(d,d)))))))))),
inference(forward_demodulation,[],[f302,f241]) ).
fof(f305,plain,
plus(times(a,times(a,times(c,c))),plus(times(b,times(b,times(c,c))),plus(times(d,times(a,times(a,d))),times(b,times(d,times(b,d)))))) != plus(times(a,times(a,times(c,c))),plus(times(b,times(b,times(c,c))),plus(times(a,times(b,times(c,d))),plus(times(a,times(b,times(c,d))),plus(times(a,times(minus(b),times(c,d))),plus(times(a,times(minus(b),times(c,d))),plus(times(a,times(a,times(d,d))),times(minus(b),times(minus(b),times(d,d)))))))))),
inference(forward_demodulation,[],[f304,f246]) ).
fof(f306,plain,
plus(times(a,times(a,times(c,c))),plus(times(b,times(b,times(c,c))),plus(times(d,times(a,times(a,d))),times(b,times(b,times(d,d)))))) != plus(times(a,times(a,times(c,c))),plus(times(b,times(b,times(c,c))),plus(times(a,times(b,times(c,d))),plus(times(a,times(b,times(c,d))),plus(times(a,times(minus(b),times(c,d))),plus(times(a,times(minus(b),times(c,d))),plus(times(a,times(a,times(d,d))),times(minus(b),times(minus(b),times(d,d)))))))))),
inference(forward_demodulation,[],[f305,f241]) ).
fof(f307,plain,
plus(times(a,times(a,times(c,c))),plus(times(b,times(b,times(d,d))),plus(times(b,times(b,times(c,c))),times(d,times(a,times(a,d)))))) != plus(times(a,times(a,times(c,c))),plus(times(b,times(b,times(c,c))),plus(times(a,times(b,times(c,d))),plus(times(a,times(b,times(c,d))),plus(times(a,times(minus(b),times(c,d))),plus(times(a,times(minus(b),times(c,d))),plus(times(a,times(a,times(d,d))),times(minus(b),times(minus(b),times(d,d)))))))))),
inference(forward_demodulation,[],[f306,f209]) ).
fof(f308,plain,
plus(times(a,times(a,times(c,c))),plus(times(b,times(b,times(c,c))),plus(times(b,times(b,times(d,d))),times(d,times(a,times(a,d)))))) != plus(times(a,times(a,times(c,c))),plus(times(b,times(b,times(c,c))),plus(times(a,times(b,times(c,d))),plus(times(a,times(b,times(c,d))),plus(times(a,times(minus(b),times(c,d))),plus(times(a,times(minus(b),times(c,d))),plus(times(a,times(a,times(d,d))),times(minus(b),times(minus(b),times(d,d)))))))))),
inference(forward_demodulation,[],[f307,f212]) ).
fof(f309,plain,
plus(times(a,times(a,times(c,c))),plus(times(b,times(b,times(c,c))),plus(times(b,times(b,times(d,d))),times(a,times(d,times(a,d)))))) != plus(times(a,times(a,times(c,c))),plus(times(b,times(b,times(c,c))),plus(times(a,times(b,times(c,d))),plus(times(a,times(b,times(c,d))),plus(times(a,times(minus(b),times(c,d))),plus(times(a,times(minus(b),times(c,d))),plus(times(a,times(a,times(d,d))),times(minus(b),times(minus(b),times(d,d)))))))))),
inference(forward_demodulation,[],[f308,f246]) ).
fof(f310,plain,
plus(times(a,times(a,times(c,c))),plus(times(b,times(b,times(c,c))),plus(times(b,times(b,times(d,d))),times(a,times(a,times(d,d)))))) != plus(times(a,times(a,times(c,c))),plus(times(b,times(b,times(c,c))),plus(times(a,times(b,times(c,d))),plus(times(a,times(b,times(c,d))),plus(times(a,times(minus(b),times(c,d))),plus(times(a,times(minus(b),times(c,d))),plus(times(a,times(a,times(d,d))),times(minus(b),times(minus(b),times(d,d)))))))))),
inference(forward_demodulation,[],[f309,f241]) ).
fof(f311,plain,
plus(times(a,times(a,times(c,c))),plus(times(a,times(a,times(d,d))),plus(times(b,times(b,times(c,c))),times(b,times(b,times(d,d)))))) != plus(times(a,times(a,times(c,c))),plus(times(b,times(b,times(c,c))),plus(times(a,times(b,times(c,d))),plus(times(a,times(b,times(c,d))),plus(times(a,times(minus(b),times(c,d))),plus(times(a,times(minus(b),times(c,d))),plus(times(a,times(a,times(d,d))),times(minus(b),times(minus(b),times(d,d)))))))))),
inference(forward_demodulation,[],[f310,f209]) ).
fof(f312,plain,
plus(times(a,times(a,times(c,c))),plus(times(b,times(b,times(c,c))),plus(times(a,times(a,times(d,d))),times(b,times(b,times(d,d)))))) != plus(times(a,times(a,times(c,c))),plus(times(b,times(b,times(c,c))),plus(times(a,times(b,times(c,d))),plus(times(a,times(b,times(c,d))),plus(times(a,times(minus(b),times(c,d))),plus(times(a,times(minus(b),times(c,d))),plus(times(a,times(a,times(d,d))),times(minus(b),times(minus(b),times(d,d)))))))))),
inference(forward_demodulation,[],[f311,f212]) ).
fof(f318,plain,
! [X0] : plus(X0,zero) = X0,
inference(superposition,[],[f1,f3]) ).
fof(f320,plain,
! [X0,X1] : times(X1,X0) = plus(times(X1,zero),times(X1,X0)),
inference(superposition,[],[f9,f3]) ).
fof(f321,plain,
! [X0,X1] : times(X0,X1) = plus(times(zero,X1),times(X0,X1)),
inference(superposition,[],[f10,f3]) ).
fof(f360,plain,
! [X0] : plus(X0,zero) = minus(minus(X0)),
inference(superposition,[],[f179,f5]) ).
fof(f362,plain,
! [X0,X1] : plus(X1,plus(X0,minus(X1))) = X0,
inference(superposition,[],[f179,f1]) ).
fof(f376,plain,
! [X0] : minus(minus(X0)) = X0,
inference(forward_demodulation,[],[f360,f318]) ).
fof(f619,plain,
! [X0,X1] : plus(X0,zero) = plus(X1,minus(plus(minus(X0),X1))),
inference(superposition,[],[f179,f178]) ).
fof(f620,plain,
! [X0,X1] : plus(X1,minus(plus(minus(X0),X1))) = X0,
inference(forward_demodulation,[],[f619,f318]) ).
fof(f648,plain,
! [X0,X1] : minus(X0) = plus(X1,minus(plus(X0,X1))),
inference(superposition,[],[f620,f376]) ).
fof(f706,plain,
! [X0,X1] : minus(X1) = plus(X0,minus(plus(X0,X1))),
inference(superposition,[],[f648,f1]) ).
fof(f1091,plain,
! [X2,X0,X1] : plus(times(X1,X0),plus(times(minus(X1),X0),X2)) = plus(times(zero,X0),X2),
inference(superposition,[],[f2,f177]) ).
fof(f1098,plain,
! [X0,X1] : minus(times(X1,X0)) = plus(times(minus(X1),X0),minus(times(zero,X0))),
inference(superposition,[],[f648,f177]) ).
fof(f1202,plain,
! [X2,X0,X1] : plus(times(X0,X1),X2) = plus(times(zero,X1),plus(times(X0,X1),X2)),
inference(superposition,[],[f2,f321]) ).
fof(f1257,plain,
! [X0,X1] : minus(times(X0,X1)) = plus(times(X0,minus(X1)),minus(times(X0,zero))),
inference(superposition,[],[f648,f176]) ).
fof(f1258,plain,
! [X0,X1] : minus(times(X0,minus(X1))) = plus(times(X0,X1),minus(times(X0,zero))),
inference(superposition,[],[f706,f176]) ).
fof(f1270,plain,
! [X0,X1] : plus(times(zero,X0),times(zero,minus(X0))) = plus(times(X1,zero),times(minus(X1),zero)),
inference(superposition,[],[f177,f176]) ).
fof(f1346,plain,
! [X0,X1] : minus(times(X0,X1)) = plus(times(X0,zero),minus(times(X0,X1))),
inference(superposition,[],[f706,f320]) ).
fof(f1566,plain,
! [X2,X0] : plus(times(zero,X2),X0) = X0,
inference(superposition,[],[f1202,f362]) ).
fof(f1574,plain,
! [X1] : zero = plus(times(zero,X1),zero),
inference(superposition,[],[f1202,f5]) ).
fof(f1586,plain,
! [X0,X1] : times(X0,X1) = plus(times(X0,X1),minus(times(zero,X1))),
inference(superposition,[],[f362,f1202]) ).
fof(f1613,plain,
! [X0,X1] : times(minus(X1),X0) = minus(times(X1,X0)),
inference(backward_demodulation,[],[f1098,f1586]) ).
fof(f1617,plain,
! [X1] : zero = plus(zero,times(zero,X1)),
inference(forward_demodulation,[],[f1574,f1]) ).
fof(f1620,plain,
! [X2,X0,X1] : plus(times(X1,X0),plus(times(minus(X1),X0),X2)) = X2,
inference(backward_demodulation,[],[f1091,f1566]) ).
fof(f1627,plain,
! [X0,X1] : times(zero,minus(X0)) = plus(times(X1,zero),times(minus(X1),zero)),
inference(backward_demodulation,[],[f1270,f1566]) ).
fof(f1642,plain,
! [X0,X1] : times(minus(X0),X1) = plus(times(X0,minus(X1)),minus(times(X0,zero))),
inference(backward_demodulation,[],[f1257,f1613]) ).
fof(f1644,plain,
! [X0,X1] : times(minus(X0),X1) = plus(times(X0,zero),times(minus(X0),X1)),
inference(backward_demodulation,[],[f1346,f1613]) ).
fof(f1650,plain,
! [X0,X1] : minus(times(X0,minus(X1))) = plus(times(X0,X1),times(minus(X0),zero)),
inference(backward_demodulation,[],[f1258,f1613]) ).
fof(f1652,plain,
! [X1] : zero = times(zero,X1),
inference(forward_demodulation,[],[f1617,f3]) ).
fof(f1661,plain,
! [X0,X1] : times(minus(X0),minus(X1)) = plus(times(X0,X1),times(minus(X0),zero)),
inference(forward_demodulation,[],[f1650,f1613]) ).
fof(f1662,plain,
! [X0,X1] : times(zero,minus(X0)) = times(minus(X1),zero),
inference(backward_demodulation,[],[f1627,f1644]) ).
fof(f1664,plain,
! [X0,X1] : times(minus(X0),X1) = plus(times(X0,minus(X1)),times(minus(X0),zero)),
inference(forward_demodulation,[],[f1642,f1613]) ).
fof(f1710,plain,
! [X1] : zero = times(minus(X1),zero),
inference(forward_demodulation,[],[f1662,f1652]) ).
fof(f1720,plain,
! [X0,X1] : times(minus(X0),X1) = plus(times(X0,minus(X1)),zero),
inference(backward_demodulation,[],[f1664,f1710]) ).
fof(f1722,plain,
! [X0,X1] : times(minus(X0),minus(X1)) = plus(times(X0,X1),zero),
inference(backward_demodulation,[],[f1661,f1710]) ).
fof(f1726,plain,
! [X0,X1] : times(X0,X1) = times(minus(X0),minus(X1)),
inference(forward_demodulation,[],[f1722,f318]) ).
fof(f1727,plain,
! [X0,X1] : times(X0,minus(X1)) = times(minus(X0),X1),
inference(forward_demodulation,[],[f1720,f318]) ).
fof(f1737,plain,
! [X2,X0,X1] : times(times(X0,X1),X2) = times(minus(X0),times(minus(X1),X2)),
inference(superposition,[],[f6,f1726]) ).
fof(f1758,plain,
! [X2,X0,X1] : times(X0,times(X1,X2)) = times(minus(X0),times(minus(X1),X2)),
inference(forward_demodulation,[],[f1737,f6]) ).
fof(f1766,plain,
plus(times(a,times(a,times(c,c))),plus(times(b,times(b,times(c,c))),plus(times(a,times(a,times(d,d))),times(b,times(b,times(d,d)))))) != plus(times(a,times(a,times(c,c))),plus(times(b,times(b,times(c,c))),plus(times(a,times(b,times(c,d))),plus(times(a,times(b,times(c,d))),plus(times(a,times(minus(b),times(c,d))),plus(times(a,times(minus(b),times(c,d))),plus(times(a,times(a,times(d,d))),times(b,times(b,times(d,d)))))))))),
inference(backward_demodulation,[],[f312,f1758]) ).
fof(f1934,plain,
! [X2,X0,X1] : times(X1,times(minus(X0),X2)) = times(X0,minus(times(X1,X2))),
inference(superposition,[],[f246,f1727]) ).
fof(f1939,plain,
! [X2,X0,X1] : times(X0,times(minus(X1),X2)) = times(X1,times(minus(X0),X2)),
inference(forward_demodulation,[],[f1934,f1613]) ).
fof(f1955,plain,
plus(times(a,times(a,times(c,c))),plus(times(b,times(b,times(c,c))),plus(times(a,times(a,times(d,d))),times(b,times(b,times(d,d)))))) != plus(times(a,times(a,times(c,c))),plus(times(b,times(b,times(c,c))),plus(times(a,times(b,times(c,d))),plus(times(a,times(b,times(c,d))),plus(times(b,times(minus(a),times(c,d))),plus(times(b,times(minus(a),times(c,d))),plus(times(a,times(a,times(d,d))),times(b,times(b,times(d,d)))))))))),
inference(backward_demodulation,[],[f1766,f1939]) ).
fof(f1962,plain,
plus(times(a,times(a,times(c,c))),plus(times(b,times(b,times(c,c))),plus(times(a,times(a,times(d,d))),times(b,times(b,times(d,d)))))) != plus(times(a,times(a,times(c,c))),plus(times(b,times(b,times(c,c))),plus(times(a,times(b,times(c,d))),plus(times(a,times(b,times(c,d))),plus(times(minus(a),times(b,times(c,d))),plus(times(minus(a),times(b,times(c,d))),plus(times(a,times(a,times(d,d))),times(b,times(b,times(d,d)))))))))),
inference(forward_demodulation,[],[f1955,f246]) ).
fof(f1964,plain,
plus(times(a,times(a,times(c,c))),plus(times(b,times(b,times(c,c))),plus(times(a,times(a,times(d,d))),times(b,times(b,times(d,d)))))) != plus(times(a,times(a,times(c,c))),plus(times(b,times(b,times(c,c))),plus(times(a,times(b,times(c,d))),plus(times(minus(a),times(b,times(c,d))),plus(times(a,times(a,times(d,d))),times(b,times(b,times(d,d)))))))),
inference(forward_demodulation,[],[f1962,f1620]) ).
fof(f1966,plain,
plus(times(a,times(a,times(c,c))),plus(times(b,times(b,times(c,c))),plus(times(a,times(a,times(d,d))),times(b,times(b,times(d,d)))))) != plus(times(a,times(a,times(c,c))),plus(times(b,times(b,times(c,c))),plus(times(a,times(a,times(d,d))),times(b,times(b,times(d,d)))))),
inference(forward_demodulation,[],[f1964,f1620]) ).
fof(f1967,plain,
$false,
inference(trivial_inequality_removal,[],[f1966]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG131-1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.35 % Computer : n009.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 23:24:15 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 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
% 10.36/6.71 % (2520511)Detected a unit-equality problem, will run specialized UEQ schedule.
% 10.36/6.71 % (2520522)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3784786760:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 10.36/6.71 % (2520521)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1195906148:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 10.36/6.71 % (2520519)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3231848476:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 10.36/6.71 % (2520517)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=387194746:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 10.36/6.71 % (2520516)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=3650385577:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 10.36/6.71 % (2520518)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1767718379:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 10.36/6.71 % (2520520)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2491307023:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 10.36/6.71 % (2520519)Instruction limit reached!
% 10.36/6.71 % (2520519)------------------------------
% 10.36/6.71 % (2520519)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.36/6.71 % (2520519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.36/6.71 % (2520519)CaDiCaL version: 2.1.3
% 10.36/6.71 % (2520519)Termination reason: Instruction limit
% 10.36/6.71 % (2520519)Termination phase: Saturation
% 10.36/6.71 % (2520519)Time elapsed: 0.071 s
% 10.36/6.71 % (2520519)Peak memory usage: 89 MB
% 10.36/6.71 % (2520519)Instructions burned: 138 (million)
% 10.36/6.71 % (2520520)Instruction limit reached!
% 10.36/6.71 % (2520520)------------------------------
% 10.36/6.71 % (2520520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.36/6.71 % (2520520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.36/6.71 % (2520520)CaDiCaL version: 2.1.3
% 10.36/6.71 % (2520520)Termination reason: Instruction limit
% 10.36/6.71 % (2520520)Termination phase: Saturation
% 10.36/6.71 % (2520520)Time elapsed: 0.100 s
% 10.36/6.71 % (2520520)Peak memory usage: 89 MB
% 10.36/6.71 % (2520520)Instructions burned: 182 (million)
% 10.36/6.71 % (2520521)Instruction limit reached!
% 10.36/6.71 % (2520521)------------------------------
% 10.36/6.71 % (2520521)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.36/6.71 % (2520521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.36/6.71 % (2520521)CaDiCaL version: 2.1.3
% 10.36/6.71 % (2520521)Termination reason: Instruction limit
% 10.36/6.71 % (2520521)Termination phase: Saturation
% 10.36/6.71 % (2520521)Time elapsed: 0.165 s
% 10.36/6.71 % (2520521)Peak memory usage: 90 MB
% 10.36/6.71 % (2520521)Instructions burned: 258 (million)
% 10.36/6.71 % (2520530)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1875957905:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 10.36/6.71 % (2520531)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2956169541:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 10.36/6.71 % (2520522)Instruction limit reached!
% 10.36/6.71 % (2520522)------------------------------
% 10.36/6.71 % (2520522)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.36/6.71 % (2520522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.36/6.71 % (2520522)CaDiCaL version: 2.1.3
% 10.36/6.71 % (2520522)Termination reason: Instruction limit
% 10.36/6.71 % (2520522)Termination phase: Saturation
% 10.36/6.71 % (2520522)Time elapsed: 0.325 s
% 10.36/6.71 % (2520522)Peak memory usage: 95 MB
% 10.36/6.71 % (2520522)Instructions burned: 1190 (million)
% 10.36/6.71 % (2520532)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=3013817670:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 10.36/6.71 % (2520535)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=1766142043:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2995 on theBenchmark for (2995ds/317Mi)
% 10.36/6.71 % (2520532)Instruction limit reached!
% 10.36/6.71 % (2520532)------------------------------
% 10.36/6.71 % (2520532)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.36/6.71 % (2520532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.36/6.71 % (2520532)CaDiCaL version: 2.1.3
% 10.36/6.71 % (2520532)Termination reason: Instruction limit
% 10.36/6.71 % (2520532)Termination phase: Saturation
% 10.36/6.71 % (2520532)Time elapsed: 0.108 s
% 10.36/6.71 % (2520532)Peak memory usage: 89 MB
% 10.36/6.71 % (2520532)Instructions burned: 216 (million)
% 10.36/6.71 % (2520535)Instruction limit reached!
% 10.36/6.71 % (2520535)------------------------------
% 10.36/6.71 % (2520535)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.36/6.71 % (2520535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.36/6.71 % (2520535)CaDiCaL version: 2.1.3
% 10.36/6.71 % (2520535)Termination reason: Instruction limit
% 10.36/6.71 % (2520535)Termination phase: Saturation
% 10.36/6.71 % (2520535)Time elapsed: 0.104 s
% 10.36/6.71 % (2520535)Peak memory usage: 93 MB
% 10.36/6.71 % (2520535)Instructions burned: 318 (million)
% 10.36/6.71 % (2520538)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=3889361807:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2994 on theBenchmark for (2994ds/12125Mi)
% 10.36/6.71 % (2520539)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=2012436587:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2993 on theBenchmark for (2993ds/2836Mi)
% 10.36/6.71 % (2520539)Instruction limit reached!
% 10.36/6.71 % (2520539)------------------------------
% 10.36/6.71 % (2520539)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.36/6.71 % (2520539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.36/6.71 % (2520539)CaDiCaL version: 2.1.3
% 10.36/6.71 % (2520539)Termination reason: Instruction limit
% 10.36/6.71 % (2520539)Termination phase: Saturation
% 10.36/6.71 % (2520539)Time elapsed: 0.921 s
% 10.36/6.71 % (2520539)Peak memory usage: 119 MB
% 10.36/6.71 % (2520539)Instructions burned: 2839 (million)
% 10.36/6.71 % (2520530)Instruction limit reached!
% 10.36/6.71 % (2520530)------------------------------
% 10.36/6.71 % (2520530)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.36/6.71 % (2520530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.36/6.71 % (2520530)CaDiCaL version: 2.1.3
% 10.36/6.71 % (2520530)Termination reason: Instruction limit
% 10.36/6.71 % (2520530)Termination phase: Saturation
% 10.36/6.71 % (2520530)Time elapsed: 1.291 s
% 10.36/6.71 % (2520530)Peak memory usage: 139 MB
% 10.36/6.71 % (2520530)Instructions burned: 2051 (million)
% 10.36/6.71 % (2520542)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=2362994247:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2983 on theBenchmark for (2983ds/14534Mi)
% 10.36/6.71 % (2520543)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=2474547406:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2983 on theBenchmark for (2983ds/11832Mi)
% 10.36/6.71 % (2520531)Instruction limit reached!
% 10.36/6.71 % (2520531)------------------------------
% 10.36/6.71 % (2520531)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.36/6.71 % (2520531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.36/6.71 % (2520531)CaDiCaL version: 2.1.3
% 10.36/6.71 % (2520531)Termination reason: Instruction limit
% 10.36/6.71 % (2520531)Termination phase: Saturation
% 10.36/6.71 % (2520531)Time elapsed: 2.828 s
% 10.36/6.71 % (2520531)Peak memory usage: 165 MB
% 10.36/6.71 % (2520531)Instructions burned: 4950 (million)
% 10.36/6.71 % (2520546)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=3462824838:i=2279:fgj=on:bd=all_2967 on theBenchmark for (2967ds/2279Mi)
% 10.36/6.71 % (2520546)Instruction limit reached!
% 10.36/6.71 % (2520546)------------------------------
% 10.36/6.71 % (2520546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.36/6.71 % (2520546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.36/6.71 % (2520546)CaDiCaL version: 2.1.3
% 10.36/6.71 % (2520546)Termination reason: Instruction limit
% 10.36/6.71 % (2520546)Termination phase: Saturation
% 10.36/6.71 % (2520546)Time elapsed: 1.321 s
% 10.36/6.71 % (2520546)Peak memory usage: 135 MB
% 10.36/6.71 % (2520546)Instructions burned: 2280 (million)
% 10.36/6.71 % (2520548)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=14808752:st=3:i=6225:bd=all:gtg=exists_all:ss=included:er=filter:sgt=10_2953 on theBenchmark for (2953ds/6225Mi)
% 10.36/6.71 % (2520548)First to succeed.
% 10.36/6.71 % (2520548)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2520511"
% 10.36/6.71 % (2520548)Refutation found. Thanks to Tanya!
% 10.36/6.71 % SZS status Unsatisfiable for theBenchmark
% 10.36/6.71 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/6.90 % (2520548)------------------------------
% 0.16/6.90 % (2520548)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/6.90 % (2520548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/6.90 % (2520548)CaDiCaL version: 2.1.3
% 0.16/6.90 % (2520548)Termination reason: Refutation
% 0.16/6.90 % (2520548)Time elapsed: 0.777 s
% 0.16/6.90 % (2520548)Peak memory usage: 131 MB
% 0.16/6.90 % (2520548)Instructions burned: 1206 (million)
% 0.16/6.90 % (2520548)------------------------------
% 0.16/6.90 % (2520548)------------------------------
% 0.16/6.90 % (2520511)Success in time 5.881 s
% 0.16/6.90 % Vampire exiting
%------------------------------------------------------------------------------