TSTP Solution File: TOP051-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : TOP051-1 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 19:53:50 EDT 2022
% Result : Unsatisfiable 1.53s 0.57s
% Output : Refutation 1.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 14
% Syntax : Number of formulae : 96 ( 96 unt; 0 def)
% Number of atoms : 96 ( 95 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 34 ( 34 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-10 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f157,plain,
$false,
inference(trivial_inequality_removal,[],[f156]) ).
fof(f156,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
inference(forward_demodulation,[],[f155,f1]) ).
fof(f1,axiom,
! [X0] : product(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutory_quandle) ).
fof(f155,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,product(a1,a1),a1),
inference(forward_demodulation,[],[f154,f1]) ).
fof(f154,plain,
tuple(a1,a1,a1,a1,a1,a1,product(a1,a1),a1,product(a1,product(a1,a1)),a1) != tuple(a1,a1,product(a1,a1),a1,a1,a1,a1,a1,a1,a1),
inference(forward_demodulation,[],[f153,f1]) ).
fof(f153,plain,
tuple(a1,a1,product(a1,product(a1,a1)),a1,a1,a1,a1,a1,product(a1,a1),a1) != tuple(a1,a1,a1,a1,a1,a1,product(a1,product(a1,a1)),product(a1,a1),product(product(a1,a1),product(a1,product(a1,a1))),a1),
inference(forward_demodulation,[],[f152,f1]) ).
fof(f152,plain,
tuple(a1,a1,a1,a1,product(a1,a1),product(a1,a1),product(product(a1,a1),product(a1,product(a1,a1))),product(a1,product(a1,a1)),product(product(a1,product(a1,a1)),product(product(a1,a1),product(a1,product(a1,a1)))),a1) != tuple(a1,a1,product(product(a1,a1),product(a1,product(a1,a1))),a1,a1,a1,product(a1,a1),a1,product(a1,product(a1,a1)),product(a1,a1)),
inference(forward_demodulation,[],[f151,f1]) ).
fof(f151,plain,
tuple(a1,a1,product(product(a1,product(a1,a1)),product(product(a1,a1),product(a1,product(a1,a1)))),a1,a1,product(a1,a1),product(a1,product(a1,a1)),product(a1,a1),product(product(a1,a1),product(a1,product(a1,a1))),product(a1,product(a1,a1))) != tuple(a1,a1,a1,product(a1,a1),product(a1,product(a1,a1)),product(a1,product(a1,a1)),product(product(a1,product(a1,a1)),product(product(a1,a1),product(a1,product(a1,a1)))),product(product(a1,a1),product(a1,product(a1,a1))),product(product(product(a1,a1),product(a1,product(a1,a1))),product(product(a1,product(a1,a1)),product(product(a1,a1),product(a1,product(a1,a1))))),product(a1,a1)),
inference(forward_demodulation,[],[f150,f1]) ).
fof(f150,plain,
tuple(a1,product(a1,a1),a1,product(a1,product(a1,a1)),product(product(a1,a1),product(a1,product(a1,a1))),product(product(a1,a1),product(a1,product(a1,a1))),product(product(product(a1,a1),product(a1,product(a1,a1))),product(product(a1,product(a1,a1)),product(product(a1,a1),product(a1,product(a1,a1))))),product(product(a1,product(a1,a1)),product(product(a1,a1),product(a1,product(a1,a1)))),product(product(product(a1,product(a1,a1)),product(product(a1,a1),product(a1,product(a1,a1)))),product(product(product(a1,a1),product(a1,product(a1,a1))),product(product(a1,product(a1,a1)),product(product(a1,a1),product(a1,product(a1,a1)))))),product(a1,product(a1,a1))) != tuple(a1,a1,product(product(product(a1,a1),product(a1,product(a1,a1))),product(product(a1,product(a1,a1)),product(product(a1,a1),product(a1,product(a1,a1))))),a1,product(a1,a1),product(a1,product(a1,a1)),product(product(a1,a1),product(a1,product(a1,a1))),product(a1,product(a1,a1)),product(product(a1,product(a1,a1)),product(product(a1,a1),product(a1,product(a1,a1)))),product(product(a1,a1),product(a1,product(a1,a1)))),
inference(forward_demodulation,[],[f149,f1]) ).
fof(f149,plain,
tuple(a1,a1,product(product(product(a1,product(a1,a1)),product(product(a1,a1),product(a1,product(a1,a1)))),product(product(product(a1,a1),product(a1,product(a1,a1))),product(product(a1,product(a1,a1)),product(product(a1,a1),product(a1,product(a1,a1)))))),product(a1,a1),product(a1,product(a1,a1)),product(product(a1,a1),product(a1,product(a1,a1))),product(product(a1,product(a1,a1)),product(product(a1,a1),product(a1,product(a1,a1)))),product(product(a1,a1),product(a1,product(a1,a1))),product(product(product(a1,a1),product(a1,product(a1,a1))),product(product(a1,product(a1,a1)),product(product(a1,a1),product(a1,product(a1,a1))))),product(product(a1,product(a1,a1)),product(product(a1,a1),product(a1,product(a1,a1))))) != tuple(product(a1,a1),product(a1,product(a1,a1)),a1,product(product(a1,a1),product(a1,product(a1,a1))),product(product(a1,product(a1,a1)),product(product(a1,a1),product(a1,product(a1,a1)))),product(product(a1,product(a1,a1)),product(product(a1,a1),product(a1,product(a1,a1)))),product(product(product(a1,product(a1,a1)),product(product(a1,a1),product(a1,product(a1,a1)))),product(product(product(a1,a1),product(a1,product(a1,a1))),product(product(a1,product(a1,a1)),product(product(a1,a1),product(a1,product(a1,a1)))))),product(product(product(a1,a1),product(a1,product(a1,a1))),product(product(a1,product(a1,a1)),product(product(a1,a1),product(a1,product(a1,a1))))),product(product(product(product(a1,a1),product(a1,product(a1,a1))),product(product(a1,product(a1,a1)),product(product(a1,a1),product(a1,product(a1,a1))))),product(product(product(a1,product(a1,a1)),product(product(a1,a1),product(a1,product(a1,a1)))),product(product(product(a1,a1),product(a1,product(a1,a1))),product(product(a1,product(a1,a1)),product(product(a1,a1),product(a1,product(a1,a1))))))),product(product(a1,a1),product(a1,product(a1,a1)))),
inference(forward_demodulation,[],[f105,f112]) ).
fof(f112,plain,
a1 = a6,
inference(forward_demodulation,[],[f111,f2]) ).
fof(f2,axiom,
! [X0,X1] : product(product(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutory_quandle_01) ).
fof(f111,plain,
a6 = product(product(a1,product(a6,a1)),product(a6,a1)),
inference(forward_demodulation,[],[f110,f2]) ).
fof(f110,plain,
a6 = product(product(a1,product(a6,a1)),product(product(product(a6,a1),product(a1,product(a6,a1))),product(a1,product(a6,a1)))),
inference(forward_demodulation,[],[f109,f1]) ).
fof(f109,plain,
a6 = product(product(a1,product(a6,a1)),product(product(product(product(a6,a1),product(a1,product(a6,a1))),product(a1,product(a6,a1))),product(product(product(a6,a1),product(a1,product(a6,a1))),product(a1,product(a6,a1))))),
inference(forward_demodulation,[],[f108,f3]) ).
fof(f3,axiom,
! [X2,X0,X1] : product(product(X0,X1),X2) = product(product(X0,X2),product(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutory_quandle_02) ).
fof(f108,plain,
a6 = product(product(a1,product(a6,a1)),product(product(product(product(a6,a1),product(a1,product(a6,a1))),product(product(a6,a1),product(a1,product(a6,a1)))),product(a1,product(a6,a1)))),
inference(forward_demodulation,[],[f107,f2]) ).
fof(f107,plain,
a6 = product(product(product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1)))),product(product(a6,a1),product(a1,product(a6,a1)))),product(product(product(product(a6,a1),product(a1,product(a6,a1))),product(product(a6,a1),product(a1,product(a6,a1)))),product(product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1)))),product(product(a6,a1),product(a1,product(a6,a1)))))),
inference(forward_demodulation,[],[f106,f3]) ).
fof(f106,plain,
a6 = product(product(product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1)))),product(product(a6,a1),product(a1,product(a6,a1)))),product(product(product(product(a6,a1),product(a1,product(a6,a1))),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1))))),product(product(a6,a1),product(a1,product(a6,a1))))),
inference(forward_demodulation,[],[f104,f3]) ).
fof(f104,plain,
a6 = product(product(product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1)))),product(product(product(a6,a1),product(a1,product(a6,a1))),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1)))))),product(product(a6,a1),product(a1,product(a6,a1)))),
inference(backward_demodulation,[],[f94,f102]) ).
fof(f102,plain,
a5 = product(product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1)))),product(product(product(a6,a1),product(a1,product(a6,a1))),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1)))))),
inference(forward_demodulation,[],[f101,f76]) ).
fof(f76,plain,
a4 = product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1)))),
inference(forward_demodulation,[],[f75,f1]) ).
fof(f75,plain,
a4 = product(product(a1,product(a6,a1)),product(product(a6,a1),product(product(a1,a1),product(a6,a1)))),
inference(forward_demodulation,[],[f74,f3]) ).
fof(f74,plain,
a4 = product(product(a1,product(a6,a1)),product(product(a6,a1),product(product(a1,a6),a1))),
inference(forward_demodulation,[],[f65,f3]) ).
fof(f65,plain,
a4 = product(product(a1,product(a6,a1)),product(product(a6,product(a1,a6)),a1)),
inference(backward_demodulation,[],[f52,f59]) ).
fof(f59,plain,
a7 = product(a6,product(a1,a6)),
inference(forward_demodulation,[],[f9,f4]) ).
fof(f4,axiom,
product(a1,a6) = a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot) ).
fof(f9,axiom,
a7 = product(a6,a2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_07) ).
fof(f52,plain,
a4 = product(product(a1,product(a6,a1)),product(a7,a1)),
inference(forward_demodulation,[],[f51,f1]) ).
fof(f51,plain,
a4 = product(product(product(a1,a1),product(a6,a1)),product(a7,a1)),
inference(forward_demodulation,[],[f50,f3]) ).
fof(f50,plain,
a4 = product(product(product(a1,a6),a1),product(a7,a1)),
inference(forward_demodulation,[],[f30,f3]) ).
fof(f30,plain,
a4 = product(product(product(a1,a6),a7),a1),
inference(backward_demodulation,[],[f6,f29]) ).
fof(f29,plain,
a3 = product(product(a1,a6),a7),
inference(forward_demodulation,[],[f5,f4]) ).
fof(f5,axiom,
product(a2,a7) = a3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_03) ).
fof(f6,axiom,
product(a3,a1) = a4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_04) ).
fof(f101,plain,
a5 = product(a4,product(product(product(a6,a1),product(a1,product(a6,a1))),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1)))))),
inference(forward_demodulation,[],[f7,f99]) ).
fof(f99,plain,
a10 = product(product(product(a6,a1),product(a1,product(a6,a1))),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1))))),
inference(forward_demodulation,[],[f93,f3]) ).
fof(f93,plain,
a10 = product(product(product(a6,a1),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1))))),product(product(a1,product(a6,a1)),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1)))))),
inference(backward_demodulation,[],[f92,f2]) ).
fof(f92,plain,
a10 = product(product(product(a6,product(product(a1,a6),a6)),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1))))),product(product(product(product(a1,a6),a6),product(a6,product(product(a1,a6),a6))),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1)))))),
inference(forward_demodulation,[],[f91,f3]) ).
fof(f91,plain,
a10 = product(product(product(a6,product(product(a1,a6),a6)),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1))))),product(product(product(product(a1,a6),a6),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1))))),product(product(a6,product(product(a1,a6),a6)),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1))))))),
inference(forward_demodulation,[],[f90,f1]) ).
fof(f90,plain,
a10 = product(product(product(product(a6,a6),product(product(a1,a6),a6)),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1))))),product(product(product(product(a1,a6),a6),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1))))),product(product(product(a6,a6),product(product(a1,a6),a6)),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1))))))),
inference(forward_demodulation,[],[f89,f3]) ).
fof(f89,plain,
a10 = product(product(product(product(a6,product(a1,a6)),a6),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1))))),product(product(product(product(a1,a6),a6),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1))))),product(product(product(a6,product(a1,a6)),a6),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1))))))),
inference(forward_demodulation,[],[f88,f1]) ).
fof(f88,plain,
a10 = product(product(product(product(a6,product(a1,a6)),a6),product(product(a1,product(a6,a1)),product(product(a6,a1),product(product(a1,a1),product(a6,a1))))),product(product(product(product(a1,a6),a6),product(product(a1,product(a6,a1)),product(product(a6,a1),product(product(a1,a1),product(a6,a1))))),product(product(product(a6,product(a1,a6)),a6),product(product(a1,product(a6,a1)),product(product(a6,a1),product(product(a1,a1),product(a6,a1))))))),
inference(forward_demodulation,[],[f87,f3]) ).
fof(f87,plain,
a10 = product(product(product(product(a6,product(a1,a6)),a6),product(product(a1,product(a6,a1)),product(product(a6,a1),product(product(a1,a6),a1)))),product(product(product(product(a1,a6),a6),product(product(a1,product(a6,a1)),product(product(a6,a1),product(product(a1,a6),a1)))),product(product(product(a6,product(a1,a6)),a6),product(product(a1,product(a6,a1)),product(product(a6,a1),product(product(a1,a6),a1)))))),
inference(forward_demodulation,[],[f67,f3]) ).
fof(f67,plain,
a10 = product(product(product(product(a6,product(a1,a6)),a6),product(product(a1,product(a6,a1)),product(product(a6,product(a1,a6)),a1))),product(product(product(product(a1,a6),a6),product(product(a1,product(a6,a1)),product(product(a6,product(a1,a6)),a1))),product(product(product(a6,product(a1,a6)),a6),product(product(a1,product(a6,a1)),product(product(a6,product(a1,a6)),a1))))),
inference(backward_demodulation,[],[f58,f59]) ).
fof(f58,plain,
a10 = product(product(product(a7,a6),product(product(a1,product(a6,a1)),product(a7,a1))),product(product(product(product(a1,a6),a6),product(product(a1,product(a6,a1)),product(a7,a1))),product(product(a7,a6),product(product(a1,product(a6,a1)),product(a7,a1))))),
inference(forward_demodulation,[],[f57,f3]) ).
fof(f57,plain,
a10 = product(product(product(a7,a6),product(product(a1,product(a6,a1)),product(a7,a1))),product(product(product(product(a1,a6),a6),product(a7,a6)),product(product(a1,product(a6,a1)),product(a7,a1)))),
inference(forward_demodulation,[],[f56,f3]) ).
fof(f56,plain,
a10 = product(product(product(a7,a6),product(product(a1,product(a6,a1)),product(a7,a1))),product(product(product(product(a1,a6),a7),a6),product(product(a1,product(a6,a1)),product(a7,a1)))),
inference(forward_demodulation,[],[f55,f1]) ).
fof(f55,plain,
a10 = product(product(product(a7,a6),product(product(product(a1,a1),product(a6,a1)),product(a7,a1))),product(product(product(product(a1,a6),a7),a6),product(product(product(a1,a1),product(a6,a1)),product(a7,a1)))),
inference(forward_demodulation,[],[f54,f3]) ).
fof(f54,plain,
a10 = product(product(product(a7,a6),product(product(product(a1,a6),a1),product(a7,a1))),product(product(product(product(a1,a6),a7),a6),product(product(product(a1,a6),a1),product(a7,a1)))),
inference(forward_demodulation,[],[f33,f3]) ).
fof(f33,plain,
a10 = product(product(product(a7,a6),product(product(product(a1,a6),a7),a1)),product(product(product(product(a1,a6),a7),a6),product(product(product(a1,a6),a7),a1))),
inference(backward_demodulation,[],[f23,f29]) ).
fof(f23,plain,
a10 = product(product(product(a7,a6),product(a3,a1)),product(product(a3,a6),product(a3,a1))),
inference(forward_demodulation,[],[f22,f3]) ).
fof(f22,plain,
a10 = product(product(product(a7,a6),product(a3,a6)),product(a3,a1)),
inference(backward_demodulation,[],[f17,f6]) ).
fof(f17,plain,
a10 = product(product(product(a7,a6),product(a3,a6)),a4),
inference(backward_demodulation,[],[f12,f16]) ).
fof(f16,plain,
a9 = product(product(a7,a6),product(a3,a6)),
inference(forward_demodulation,[],[f15,f3]) ).
fof(f15,plain,
a9 = product(product(a7,a3),a6),
inference(forward_demodulation,[],[f11,f10]) ).
fof(f10,axiom,
product(a7,a3) = a8,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_08) ).
fof(f11,axiom,
a9 = product(a8,a6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_09) ).
fof(f12,axiom,
a10 = product(a9,a4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_10) ).
fof(f7,axiom,
product(a4,a10) = a5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_05) ).
fof(f94,plain,
a6 = product(a5,product(product(a6,a1),product(a1,product(a6,a1)))),
inference(backward_demodulation,[],[f86,f2]) ).
fof(f86,plain,
a6 = product(a5,product(product(a6,product(product(a1,a6),a6)),product(product(product(a1,a6),a6),product(a6,product(product(a1,a6),a6))))),
inference(forward_demodulation,[],[f85,f1]) ).
fof(f85,plain,
a6 = product(a5,product(product(product(a6,a6),product(product(a1,a6),a6)),product(product(product(a1,a6),a6),product(product(a6,a6),product(product(a1,a6),a6))))),
inference(forward_demodulation,[],[f66,f3]) ).
fof(f66,plain,
a6 = product(a5,product(product(product(a6,product(a1,a6)),a6),product(product(product(a1,a6),a6),product(product(a6,product(a1,a6)),a6)))),
inference(backward_demodulation,[],[f53,f59]) ).
fof(f53,plain,
a6 = product(a5,product(product(a7,a6),product(product(product(a1,a6),a6),product(a7,a6)))),
inference(forward_demodulation,[],[f34,f3]) ).
fof(f34,plain,
a6 = product(a5,product(product(a7,a6),product(product(product(a1,a6),a7),a6))),
inference(backward_demodulation,[],[f25,f29]) ).
fof(f25,plain,
a6 = product(a5,product(product(a7,a6),product(a3,a6))),
inference(forward_demodulation,[],[f8,f16]) ).
fof(f8,axiom,
a6 = product(a5,a9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_06) ).
fof(f105,plain,
tuple(product(a1,a6),product(a6,product(a1,a6)),a6,product(product(a1,a6),product(a6,product(a1,a6))),product(product(a6,product(a1,a6)),product(product(a1,a6),product(a6,product(a1,a6)))),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1)))),product(product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1)))),product(product(product(a6,a1),product(a1,product(a6,a1))),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1)))))),product(product(product(a6,a1),product(a1,product(a6,a1))),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1))))),product(product(product(product(a6,a1),product(a1,product(a6,a1))),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1))))),product(product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1)))),product(product(product(a6,a1),product(a1,product(a6,a1))),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1))))))),product(product(a6,a1),product(a1,product(a6,a1)))) != tuple(a1,a6,product(product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1)))),product(product(product(a6,a1),product(a1,product(a6,a1))),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1)))))),product(a1,a6),product(a6,product(a1,a6)),product(product(a1,a6),product(a6,product(a1,a6))),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1)))),product(product(a6,a1),product(a1,product(a6,a1))),product(product(product(a6,a1),product(a1,product(a6,a1))),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1))))),product(product(a6,product(a1,a6)),product(product(a1,a6),product(a6,product(a1,a6))))),
inference(backward_demodulation,[],[f98,f102]) ).
fof(f98,plain,
tuple(product(a1,a6),product(a6,product(a1,a6)),a6,product(product(a1,a6),product(a6,product(a1,a6))),product(product(a6,product(a1,a6)),product(product(a1,a6),product(a6,product(a1,a6)))),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1)))),a5,product(product(product(a6,a1),product(a1,product(a6,a1))),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1))))),product(product(product(product(a6,a1),product(a1,product(a6,a1))),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1))))),a5),product(product(a6,a1),product(a1,product(a6,a1)))) != tuple(a1,a6,a5,product(a1,a6),product(a6,product(a1,a6)),product(product(a1,a6),product(a6,product(a1,a6))),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1)))),product(product(a6,a1),product(a1,product(a6,a1))),product(product(product(a6,a1),product(a1,product(a6,a1))),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1))))),product(product(a6,product(a1,a6)),product(product(a1,a6),product(a6,product(a1,a6))))),
inference(forward_demodulation,[],[f95,f3]) ).
fof(f95,plain,
tuple(a1,a6,a5,product(a1,a6),product(a6,product(a1,a6)),product(product(a1,a6),product(a6,product(a1,a6))),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1)))),product(product(a6,a1),product(a1,product(a6,a1))),product(product(product(a6,a1),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1))))),product(product(a1,product(a6,a1)),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1)))))),product(product(a6,product(a1,a6)),product(product(a1,a6),product(a6,product(a1,a6))))) != tuple(product(a1,a6),product(a6,product(a1,a6)),a6,product(product(a1,a6),product(a6,product(a1,a6))),product(product(a6,product(a1,a6)),product(product(a1,a6),product(a6,product(a1,a6)))),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1)))),a5,product(product(product(a6,a1),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1))))),product(product(a1,product(a6,a1)),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1)))))),product(product(product(product(a6,a1),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1))))),product(product(a1,product(a6,a1)),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1)))))),a5),product(product(a6,a1),product(a1,product(a6,a1)))),
inference(backward_demodulation,[],[f84,f2]) ).
fof(f84,plain,
tuple(product(a1,a6),product(a6,product(a1,a6)),a6,product(product(a1,a6),product(a6,product(a1,a6))),product(product(a6,product(a1,a6)),product(product(a1,a6),product(a6,product(a1,a6)))),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1)))),a5,product(product(product(a6,product(product(a1,a6),a6)),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1))))),product(product(product(product(a1,a6),a6),product(a6,product(product(a1,a6),a6))),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1)))))),product(product(product(product(a6,product(product(a1,a6),a6)),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1))))),product(product(product(product(a1,a6),a6),product(a6,product(product(a1,a6),a6))),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1)))))),a5),product(product(a6,product(product(a1,a6),a6)),product(product(product(a1,a6),a6),product(a6,product(product(a1,a6),a6))))) != tuple(a1,a6,a5,product(a1,a6),product(a6,product(a1,a6)),product(product(a1,a6),product(a6,product(a1,a6))),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1)))),product(product(a6,product(product(a1,a6),a6)),product(product(product(a1,a6),a6),product(a6,product(product(a1,a6),a6)))),product(product(product(a6,product(product(a1,a6),a6)),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1))))),product(product(product(product(a1,a6),a6),product(a6,product(product(a1,a6),a6))),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1)))))),product(product(a6,product(a1,a6)),product(product(a1,a6),product(a6,product(a1,a6))))),
inference(forward_demodulation,[],[f83,f3]) ).
fof(f83,plain,
tuple(product(a1,a6),product(a6,product(a1,a6)),a6,product(product(a1,a6),product(a6,product(a1,a6))),product(product(a6,product(a1,a6)),product(product(a1,a6),product(a6,product(a1,a6)))),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1)))),a5,product(product(product(a6,product(product(a1,a6),a6)),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1))))),product(product(product(product(a1,a6),a6),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1))))),product(product(a6,product(product(a1,a6),a6)),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1))))))),product(product(product(product(a6,product(product(a1,a6),a6)),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1))))),product(product(product(product(a1,a6),a6),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1))))),product(product(a6,product(product(a1,a6),a6)),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1))))))),a5),product(product(a6,product(product(a1,a6),a6)),product(product(product(a1,a6),a6),product(a6,product(product(a1,a6),a6))))) != tuple(a1,a6,a5,product(a1,a6),product(a6,product(a1,a6)),product(product(a1,a6),product(a6,product(a1,a6))),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1)))),product(product(a6,product(product(a1,a6),a6)),product(product(product(a1,a6),a6),product(a6,product(product(a1,a6),a6)))),product(product(product(a6,product(product(a1,a6),a6)),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1))))),product(product(product(product(a1,a6),a6),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1))))),product(product(a6,product(product(a1,a6),a6)),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1))))))),product(product(a6,product(a1,a6)),product(product(a1,a6),product(a6,product(a1,a6))))),
inference(forward_demodulation,[],[f82,f1]) ).
fof(f82,plain,
tuple(product(a1,a6),product(a6,product(a1,a6)),a6,product(product(a1,a6),product(a6,product(a1,a6))),product(product(a6,product(a1,a6)),product(product(a1,a6),product(a6,product(a1,a6)))),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1)))),a5,product(product(product(product(a6,a6),product(product(a1,a6),a6)),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1))))),product(product(product(product(a1,a6),a6),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1))))),product(product(product(a6,a6),product(product(a1,a6),a6)),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1))))))),product(product(product(product(product(a6,a6),product(product(a1,a6),a6)),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1))))),product(product(product(product(a1,a6),a6),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1))))),product(product(product(a6,a6),product(product(a1,a6),a6)),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1))))))),a5),product(product(product(a6,a6),product(product(a1,a6),a6)),product(product(product(a1,a6),a6),product(product(a6,a6),product(product(a1,a6),a6))))) != tuple(a1,a6,a5,product(a1,a6),product(a6,product(a1,a6)),product(product(a1,a6),product(a6,product(a1,a6))),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1)))),product(product(product(a6,a6),product(product(a1,a6),a6)),product(product(product(a1,a6),a6),product(product(a6,a6),product(product(a1,a6),a6)))),product(product(product(product(a6,a6),product(product(a1,a6),a6)),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1))))),product(product(product(product(a1,a6),a6),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1))))),product(product(product(a6,a6),product(product(a1,a6),a6)),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1))))))),product(product(a6,product(a1,a6)),product(product(a1,a6),product(a6,product(a1,a6))))),
inference(forward_demodulation,[],[f81,f3]) ).
fof(f81,plain,
tuple(a1,a6,a5,product(a1,a6),product(a6,product(a1,a6)),product(product(a1,a6),product(a6,product(a1,a6))),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1)))),product(product(product(a6,product(a1,a6)),a6),product(product(product(a1,a6),a6),product(product(a6,product(a1,a6)),a6))),product(product(product(product(a6,product(a1,a6)),a6),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1))))),product(product(product(product(a1,a6),a6),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1))))),product(product(product(a6,product(a1,a6)),a6),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1))))))),product(product(a6,product(a1,a6)),product(product(a1,a6),product(a6,product(a1,a6))))) != tuple(product(a1,a6),product(a6,product(a1,a6)),a6,product(product(a1,a6),product(a6,product(a1,a6))),product(product(a6,product(a1,a6)),product(product(a1,a6),product(a6,product(a1,a6)))),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1)))),a5,product(product(product(product(a6,product(a1,a6)),a6),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1))))),product(product(product(product(a1,a6),a6),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1))))),product(product(product(a6,product(a1,a6)),a6),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1))))))),product(product(product(product(product(a6,product(a1,a6)),a6),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1))))),product(product(product(product(a1,a6),a6),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1))))),product(product(product(a6,product(a1,a6)),a6),product(product(a1,product(a6,a1)),product(product(a6,a1),product(a1,product(a6,a1))))))),a5),product(product(product(a6,product(a1,a6)),a6),product(product(product(a1,a6),a6),product(product(a6,product(a1,a6)),a6)))),
inference(forward_demodulation,[],[f80,f1]) ).
fof(f80,plain,
tuple(product(a1,a6),product(a6,product(a1,a6)),a6,product(product(a1,a6),product(a6,product(a1,a6))),product(product(a6,product(a1,a6)),product(product(a1,a6),product(a6,product(a1,a6)))),product(product(a1,product(a6,a1)),product(product(a6,a1),product(product(a1,a1),product(a6,a1)))),a5,product(product(product(product(a6,product(a1,a6)),a6),product(product(a1,product(a6,a1)),product(product(a6,a1),product(product(a1,a1),product(a6,a1))))),product(product(product(product(a1,a6),a6),product(product(a1,product(a6,a1)),product(product(a6,a1),product(product(a1,a1),product(a6,a1))))),product(product(product(a6,product(a1,a6)),a6),product(product(a1,product(a6,a1)),product(product(a6,a1),product(product(a1,a1),product(a6,a1))))))),product(product(product(product(product(a6,product(a1,a6)),a6),product(product(a1,product(a6,a1)),product(product(a6,a1),product(product(a1,a1),product(a6,a1))))),product(product(product(product(a1,a6),a6),product(product(a1,product(a6,a1)),product(product(a6,a1),product(product(a1,a1),product(a6,a1))))),product(product(product(a6,product(a1,a6)),a6),product(product(a1,product(a6,a1)),product(product(a6,a1),product(product(a1,a1),product(a6,a1))))))),a5),product(product(product(a6,product(a1,a6)),a6),product(product(product(a1,a6),a6),product(product(a6,product(a1,a6)),a6)))) != tuple(a1,a6,a5,product(a1,a6),product(a6,product(a1,a6)),product(product(a1,a6),product(a6,product(a1,a6))),product(product(a1,product(a6,a1)),product(product(a6,a1),product(product(a1,a1),product(a6,a1)))),product(product(product(a6,product(a1,a6)),a6),product(product(product(a1,a6),a6),product(product(a6,product(a1,a6)),a6))),product(product(product(product(a6,product(a1,a6)),a6),product(product(a1,product(a6,a1)),product(product(a6,a1),product(product(a1,a1),product(a6,a1))))),product(product(product(product(a1,a6),a6),product(product(a1,product(a6,a1)),product(product(a6,a1),product(product(a1,a1),product(a6,a1))))),product(product(product(a6,product(a1,a6)),a6),product(product(a1,product(a6,a1)),product(product(a6,a1),product(product(a1,a1),product(a6,a1))))))),product(product(a6,product(a1,a6)),product(product(a1,a6),product(a6,product(a1,a6))))),
inference(forward_demodulation,[],[f79,f3]) ).
fof(f79,plain,
tuple(product(a1,a6),product(a6,product(a1,a6)),a6,product(product(a1,a6),product(a6,product(a1,a6))),product(product(a6,product(a1,a6)),product(product(a1,a6),product(a6,product(a1,a6)))),product(product(a1,product(a6,a1)),product(product(a6,a1),product(product(a1,a6),a1))),a5,product(product(product(product(a6,product(a1,a6)),a6),product(product(a1,product(a6,a1)),product(product(a6,a1),product(product(a1,a6),a1)))),product(product(product(product(a1,a6),a6),product(product(a1,product(a6,a1)),product(product(a6,a1),product(product(a1,a6),a1)))),product(product(product(a6,product(a1,a6)),a6),product(product(a1,product(a6,a1)),product(product(a6,a1),product(product(a1,a6),a1)))))),product(product(product(product(product(a6,product(a1,a6)),a6),product(product(a1,product(a6,a1)),product(product(a6,a1),product(product(a1,a6),a1)))),product(product(product(product(a1,a6),a6),product(product(a1,product(a6,a1)),product(product(a6,a1),product(product(a1,a6),a1)))),product(product(product(a6,product(a1,a6)),a6),product(product(a1,product(a6,a1)),product(product(a6,a1),product(product(a1,a6),a1)))))),a5),product(product(product(a6,product(a1,a6)),a6),product(product(product(a1,a6),a6),product(product(a6,product(a1,a6)),a6)))) != tuple(a1,a6,a5,product(a1,a6),product(a6,product(a1,a6)),product(product(a1,a6),product(a6,product(a1,a6))),product(product(a1,product(a6,a1)),product(product(a6,a1),product(product(a1,a6),a1))),product(product(product(a6,product(a1,a6)),a6),product(product(product(a1,a6),a6),product(product(a6,product(a1,a6)),a6))),product(product(product(product(a6,product(a1,a6)),a6),product(product(a1,product(a6,a1)),product(product(a6,a1),product(product(a1,a6),a1)))),product(product(product(product(a1,a6),a6),product(product(a1,product(a6,a1)),product(product(a6,a1),product(product(a1,a6),a1)))),product(product(product(a6,product(a1,a6)),a6),product(product(a1,product(a6,a1)),product(product(a6,a1),product(product(a1,a6),a1)))))),product(product(a6,product(a1,a6)),product(product(a1,a6),product(a6,product(a1,a6))))),
inference(forward_demodulation,[],[f64,f3]) ).
fof(f64,plain,
tuple(product(a1,a6),product(a6,product(a1,a6)),a6,product(product(a1,a6),product(a6,product(a1,a6))),product(product(a6,product(a1,a6)),product(product(a1,a6),product(a6,product(a1,a6)))),product(product(a1,product(a6,a1)),product(product(a6,product(a1,a6)),a1)),a5,product(product(product(product(a6,product(a1,a6)),a6),product(product(a1,product(a6,a1)),product(product(a6,product(a1,a6)),a1))),product(product(product(product(a1,a6),a6),product(product(a1,product(a6,a1)),product(product(a6,product(a1,a6)),a1))),product(product(product(a6,product(a1,a6)),a6),product(product(a1,product(a6,a1)),product(product(a6,product(a1,a6)),a1))))),product(product(product(product(product(a6,product(a1,a6)),a6),product(product(a1,product(a6,a1)),product(product(a6,product(a1,a6)),a1))),product(product(product(product(a1,a6),a6),product(product(a1,product(a6,a1)),product(product(a6,product(a1,a6)),a1))),product(product(product(a6,product(a1,a6)),a6),product(product(a1,product(a6,a1)),product(product(a6,product(a1,a6)),a1))))),a5),product(product(product(a6,product(a1,a6)),a6),product(product(product(a1,a6),a6),product(product(a6,product(a1,a6)),a6)))) != tuple(a1,a6,a5,product(a1,a6),product(a6,product(a1,a6)),product(product(a1,a6),product(a6,product(a1,a6))),product(product(a1,product(a6,a1)),product(product(a6,product(a1,a6)),a1)),product(product(product(a6,product(a1,a6)),a6),product(product(product(a1,a6),a6),product(product(a6,product(a1,a6)),a6))),product(product(product(product(a6,product(a1,a6)),a6),product(product(a1,product(a6,a1)),product(product(a6,product(a1,a6)),a1))),product(product(product(product(a1,a6),a6),product(product(a1,product(a6,a1)),product(product(a6,product(a1,a6)),a1))),product(product(product(a6,product(a1,a6)),a6),product(product(a1,product(a6,a1)),product(product(a6,product(a1,a6)),a1))))),product(product(a6,product(a1,a6)),product(product(a1,a6),product(a6,product(a1,a6))))),
inference(backward_demodulation,[],[f49,f59]) ).
fof(f49,plain,
tuple(a1,a6,a5,product(a1,a6),a7,product(product(a1,a6),a7),product(product(a1,product(a6,a1)),product(a7,a1)),product(product(a7,a6),product(product(product(a1,a6),a6),product(a7,a6))),product(product(product(a7,a6),product(product(a1,product(a6,a1)),product(a7,a1))),product(product(product(product(a1,a6),a6),product(product(a1,product(a6,a1)),product(a7,a1))),product(product(a7,a6),product(product(a1,product(a6,a1)),product(a7,a1))))),product(a7,product(product(a1,a6),a7))) != tuple(product(a1,a6),a7,a6,product(product(a1,a6),a7),product(a7,product(product(a1,a6),a7)),product(product(a1,product(a6,a1)),product(a7,a1)),a5,product(product(product(a7,a6),product(product(a1,product(a6,a1)),product(a7,a1))),product(product(product(product(a1,a6),a6),product(product(a1,product(a6,a1)),product(a7,a1))),product(product(a7,a6),product(product(a1,product(a6,a1)),product(a7,a1))))),product(product(product(product(a7,a6),product(product(a1,product(a6,a1)),product(a7,a1))),product(product(product(product(a1,a6),a6),product(product(a1,product(a6,a1)),product(a7,a1))),product(product(a7,a6),product(product(a1,product(a6,a1)),product(a7,a1))))),a5),product(product(a7,a6),product(product(product(a1,a6),a6),product(a7,a6)))),
inference(forward_demodulation,[],[f48,f1]) ).
fof(f48,plain,
tuple(a1,a6,a5,product(a1,a6),a7,product(product(a1,a6),a7),product(product(product(a1,a1),product(a6,a1)),product(a7,a1)),product(product(a7,a6),product(product(product(a1,a6),a6),product(a7,a6))),product(product(product(a7,a6),product(product(product(a1,a1),product(a6,a1)),product(a7,a1))),product(product(product(product(a1,a6),a6),product(product(product(a1,a1),product(a6,a1)),product(a7,a1))),product(product(a7,a6),product(product(product(a1,a1),product(a6,a1)),product(a7,a1))))),product(a7,product(product(a1,a6),a7))) != tuple(product(a1,a6),a7,a6,product(product(a1,a6),a7),product(a7,product(product(a1,a6),a7)),product(product(product(a1,a1),product(a6,a1)),product(a7,a1)),a5,product(product(product(a7,a6),product(product(product(a1,a1),product(a6,a1)),product(a7,a1))),product(product(product(product(a1,a6),a6),product(product(product(a1,a1),product(a6,a1)),product(a7,a1))),product(product(a7,a6),product(product(product(a1,a1),product(a6,a1)),product(a7,a1))))),product(product(product(product(a7,a6),product(product(product(a1,a1),product(a6,a1)),product(a7,a1))),product(product(product(product(a1,a6),a6),product(product(product(a1,a1),product(a6,a1)),product(a7,a1))),product(product(a7,a6),product(product(product(a1,a1),product(a6,a1)),product(a7,a1))))),a5),product(product(a7,a6),product(product(product(a1,a6),a6),product(a7,a6)))),
inference(forward_demodulation,[],[f47,f3]) ).
fof(f47,plain,
tuple(a1,a6,a5,product(a1,a6),a7,product(product(a1,a6),a7),product(product(product(a1,a6),a1),product(a7,a1)),product(product(a7,a6),product(product(product(a1,a6),a6),product(a7,a6))),product(product(product(a7,a6),product(product(product(a1,a6),a1),product(a7,a1))),product(product(product(product(a1,a6),a6),product(product(product(a1,a6),a1),product(a7,a1))),product(product(a7,a6),product(product(product(a1,a6),a1),product(a7,a1))))),product(a7,product(product(a1,a6),a7))) != tuple(product(a1,a6),a7,a6,product(product(a1,a6),a7),product(a7,product(product(a1,a6),a7)),product(product(product(a1,a6),a1),product(a7,a1)),a5,product(product(product(a7,a6),product(product(product(a1,a6),a1),product(a7,a1))),product(product(product(product(a1,a6),a6),product(product(product(a1,a6),a1),product(a7,a1))),product(product(a7,a6),product(product(product(a1,a6),a1),product(a7,a1))))),product(product(product(product(a7,a6),product(product(product(a1,a6),a1),product(a7,a1))),product(product(product(product(a1,a6),a6),product(product(product(a1,a6),a1),product(a7,a1))),product(product(a7,a6),product(product(product(a1,a6),a1),product(a7,a1))))),a5),product(product(a7,a6),product(product(product(a1,a6),a6),product(a7,a6)))),
inference(forward_demodulation,[],[f46,f3]) ).
fof(f46,plain,
tuple(product(a1,a6),a7,a6,product(product(a1,a6),a7),product(a7,product(product(a1,a6),a7)),product(product(product(a1,a6),a1),product(a7,a1)),a5,product(product(product(a7,a6),product(product(product(a1,a6),a1),product(a7,a1))),product(product(product(product(a1,a6),a6),product(a7,a6)),product(product(product(a1,a6),a1),product(a7,a1)))),product(product(product(product(a7,a6),product(product(product(a1,a6),a1),product(a7,a1))),product(product(product(product(a1,a6),a6),product(a7,a6)),product(product(product(a1,a6),a1),product(a7,a1)))),a5),product(product(a7,a6),product(product(product(a1,a6),a6),product(a7,a6)))) != tuple(a1,a6,a5,product(a1,a6),a7,product(product(a1,a6),a7),product(product(product(a1,a6),a1),product(a7,a1)),product(product(a7,a6),product(product(product(a1,a6),a6),product(a7,a6))),product(product(product(a7,a6),product(product(product(a1,a6),a1),product(a7,a1))),product(product(product(product(a1,a6),a6),product(a7,a6)),product(product(product(a1,a6),a1),product(a7,a1)))),product(a7,product(product(a1,a6),a7))),
inference(forward_demodulation,[],[f45,f3]) ).
fof(f45,plain,
tuple(a1,a6,a5,product(a1,a6),a7,product(product(a1,a6),a7),product(product(product(a1,a6),a1),product(a7,a1)),product(product(a7,a6),product(product(product(a1,a6),a6),product(a7,a6))),product(product(product(a7,a6),product(product(product(a1,a6),a6),product(a7,a6))),product(product(product(a1,a6),a1),product(a7,a1))),product(a7,product(product(a1,a6),a7))) != tuple(product(a1,a6),a7,a6,product(product(a1,a6),a7),product(a7,product(product(a1,a6),a7)),product(product(product(a1,a6),a1),product(a7,a1)),a5,product(product(product(a7,a6),product(product(product(a1,a6),a6),product(a7,a6))),product(product(product(a1,a6),a1),product(a7,a1))),product(product(product(product(a7,a6),product(product(product(a1,a6),a6),product(a7,a6))),product(product(product(a1,a6),a1),product(a7,a1))),a5),product(product(a7,a6),product(product(product(a1,a6),a6),product(a7,a6)))),
inference(forward_demodulation,[],[f44,f3]) ).
fof(f44,plain,
tuple(product(a1,a6),a7,a6,product(product(a1,a6),a7),product(a7,product(product(a1,a6),a7)),product(product(product(a1,a6),a7),a1),a5,product(product(product(a7,a6),product(product(product(a1,a6),a6),product(a7,a6))),product(product(product(a1,a6),a7),a1)),product(product(product(product(a7,a6),product(product(product(a1,a6),a6),product(a7,a6))),product(product(product(a1,a6),a7),a1)),a5),product(product(a7,a6),product(product(product(a1,a6),a6),product(a7,a6)))) != tuple(a1,a6,a5,product(a1,a6),a7,product(product(a1,a6),a7),product(product(product(a1,a6),a7),a1),product(product(a7,a6),product(product(product(a1,a6),a6),product(a7,a6))),product(product(product(a7,a6),product(product(product(a1,a6),a6),product(a7,a6))),product(product(product(a1,a6),a7),a1)),product(a7,product(product(a1,a6),a7))),
inference(forward_demodulation,[],[f43,f3]) ).
fof(f43,plain,
tuple(a1,a6,a5,product(a1,a6),a7,product(product(a1,a6),a7),product(product(product(a1,a6),a7),a1),product(product(a7,a6),product(product(product(a1,a6),a6),product(a7,a6))),product(product(product(a7,a6),product(product(product(a1,a6),a7),a1)),product(product(product(product(a1,a6),a6),product(a7,a6)),product(product(product(a1,a6),a7),a1))),product(a7,product(product(a1,a6),a7))) != tuple(product(a1,a6),a7,a6,product(product(a1,a6),a7),product(a7,product(product(a1,a6),a7)),product(product(product(a1,a6),a7),a1),a5,product(product(product(a7,a6),product(product(product(a1,a6),a7),a1)),product(product(product(product(a1,a6),a6),product(a7,a6)),product(product(product(a1,a6),a7),a1))),product(product(product(product(a7,a6),product(product(product(a1,a6),a7),a1)),product(product(product(product(a1,a6),a6),product(a7,a6)),product(product(product(a1,a6),a7),a1))),a5),product(product(a7,a6),product(product(product(a1,a6),a6),product(a7,a6)))),
inference(forward_demodulation,[],[f36,f3]) ).
fof(f36,plain,
tuple(a1,a6,a5,product(a1,a6),a7,product(product(a1,a6),a7),product(product(product(a1,a6),a7),a1),product(product(a7,a6),product(product(product(a1,a6),a7),a6)),product(product(product(a7,a6),product(product(product(a1,a6),a7),a1)),product(product(product(product(a1,a6),a7),a6),product(product(product(a1,a6),a7),a1))),product(a7,product(product(a1,a6),a7))) != tuple(product(a1,a6),a7,a6,product(product(a1,a6),a7),product(a7,product(product(a1,a6),a7)),product(product(product(a1,a6),a7),a1),a5,product(product(product(a7,a6),product(product(product(a1,a6),a7),a1)),product(product(product(product(a1,a6),a7),a6),product(product(product(a1,a6),a7),a1))),product(product(product(product(a7,a6),product(product(product(a1,a6),a7),a1)),product(product(product(product(a1,a6),a7),a6),product(product(product(a1,a6),a7),a1))),a5),product(product(a7,a6),product(product(product(a1,a6),a7),a6))),
inference(backward_demodulation,[],[f28,f29]) ).
fof(f28,plain,
tuple(product(a1,a6),a7,a6,a3,product(a7,a3),product(a3,a1),a5,product(product(product(a7,a6),product(a3,a1)),product(product(a3,a6),product(a3,a1))),product(product(product(product(a7,a6),product(a3,a1)),product(product(a3,a6),product(a3,a1))),a5),product(product(a7,a6),product(a3,a6))) != tuple(a1,a6,a5,product(a1,a6),a7,a3,product(a3,a1),product(product(a7,a6),product(a3,a6)),product(product(product(a7,a6),product(a3,a1)),product(product(a3,a6),product(a3,a1))),product(a7,a3)),
inference(backward_demodulation,[],[f27,f4]) ).
fof(f27,plain,
tuple(a2,a7,a6,a3,product(a7,a3),product(a3,a1),a5,product(product(product(a7,a6),product(a3,a1)),product(product(a3,a6),product(a3,a1))),product(product(product(product(a7,a6),product(a3,a1)),product(product(a3,a6),product(a3,a1))),a5),product(product(a7,a6),product(a3,a6))) != tuple(a1,a6,a5,a2,a7,a3,product(a3,a1),product(product(a7,a6),product(a3,a6)),product(product(product(a7,a6),product(a3,a1)),product(product(a3,a6),product(a3,a1))),product(a7,a3)),
inference(backward_demodulation,[],[f24,f26]) ).
fof(f26,plain,
a11 = product(product(product(product(a7,a6),product(a3,a1)),product(product(a3,a6),product(a3,a1))),a5),
inference(forward_demodulation,[],[f13,f23]) ).
fof(f13,axiom,
product(a10,a5) = a11,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_11) ).
fof(f24,plain,
tuple(a1,a6,a5,a2,a7,a3,product(a3,a1),product(product(a7,a6),product(a3,a6)),product(product(product(a7,a6),product(a3,a1)),product(product(a3,a6),product(a3,a1))),product(a7,a3)) != tuple(a2,a7,a6,a3,product(a7,a3),product(a3,a1),a5,product(product(product(a7,a6),product(a3,a1)),product(product(a3,a6),product(a3,a1))),a11,product(product(a7,a6),product(a3,a6))),
inference(forward_demodulation,[],[f21,f3]) ).
fof(f21,plain,
tuple(a2,a7,a6,a3,product(a7,a3),product(a3,a1),a5,product(product(product(a7,a6),product(a3,a6)),product(a3,a1)),a11,product(product(a7,a6),product(a3,a6))) != tuple(a1,a6,a5,a2,a7,a3,product(a3,a1),product(product(a7,a6),product(a3,a6)),product(product(product(a7,a6),product(a3,a6)),product(a3,a1)),product(a7,a3)),
inference(backward_demodulation,[],[f20,f6]) ).
fof(f20,plain,
tuple(a2,a7,a6,a3,product(a7,a3),a4,a5,product(product(product(a7,a6),product(a3,a6)),a4),a11,product(product(a7,a6),product(a3,a6))) != tuple(a1,a6,a5,a2,a7,a3,a4,product(product(a7,a6),product(a3,a6)),product(product(product(a7,a6),product(a3,a6)),a4),product(a7,a3)),
inference(forward_demodulation,[],[f19,f10]) ).
fof(f19,plain,
tuple(a2,a7,a6,a3,a8,a4,a5,product(product(product(a7,a6),product(a3,a6)),a4),a11,product(product(a7,a6),product(a3,a6))) != tuple(a1,a6,a5,a2,a7,a3,a4,product(product(a7,a6),product(a3,a6)),product(product(product(a7,a6),product(a3,a6)),a4),a8),
inference(forward_demodulation,[],[f18,f17]) ).
fof(f18,plain,
tuple(a1,a6,a5,a2,a7,a3,a4,product(product(a7,a6),product(a3,a6)),a10,a8) != tuple(a2,a7,a6,a3,a8,a4,a5,a10,a11,product(product(a7,a6),product(a3,a6))),
inference(forward_demodulation,[],[f14,f16]) ).
fof(f14,axiom,
tuple(a1,a6,a5,a2,a7,a3,a4,a9,a10,a8) != tuple(a2,a7,a6,a3,a8,a4,a5,a10,a11,a9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : TOP051-1 : TPTP v8.1.0. Released v8.1.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 15:03:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % (10599)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.50 % (10601)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.51 % (10592)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (10602)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52 % (10600)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.52 % (10590)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52 % (10594)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.52 % (10593)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (10617)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.35/0.53 % (10611)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.35/0.53 % (10618)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.35/0.53 % (10589)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.35/0.53 % (10603)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.35/0.53 % (10610)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.35/0.53 TRYING [1]
% 1.35/0.53 TRYING [2]
% 1.35/0.53 % (10591)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.35/0.54 % (10616)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.35/0.54 % (10604)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.35/0.54 % (10595)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.35/0.54 % (10608)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.35/0.54 % (10596)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.35/0.54 TRYING [1]
% 1.35/0.54 % (10607)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.35/0.54 % (10613)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.53/0.54 TRYING [2]
% 1.53/0.55 % (10612)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.53/0.55 % (10614)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.53/0.55 % (10615)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.53/0.55 % (10612)First to succeed.
% 1.53/0.55 % (10606)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.53/0.55 % (10605)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.53/0.55 TRYING [1]
% 1.53/0.55 % (10609)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.53/0.55 TRYING [2]
% 1.53/0.56 % (10598)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.53/0.56 % (10596)Instruction limit reached!
% 1.53/0.56 % (10596)------------------------------
% 1.53/0.56 % (10596)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.56 % (10596)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.56 % (10596)Termination reason: Unknown
% 1.53/0.56 % (10596)Termination phase: Saturation
% 1.53/0.56
% 1.53/0.56 % (10596)Memory used [KB]: 5500
% 1.53/0.56 % (10596)Time elapsed: 0.142 s
% 1.53/0.56 % (10596)Instructions burned: 8 (million)
% 1.53/0.56 % (10596)------------------------------
% 1.53/0.56 % (10596)------------------------------
% 1.53/0.57 % (10597)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.53/0.57 % (10597)Instruction limit reached!
% 1.53/0.57 % (10597)------------------------------
% 1.53/0.57 % (10597)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.57 % (10597)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.57 % (10597)Termination reason: Unknown
% 1.53/0.57 % (10597)Termination phase: Saturation
% 1.53/0.57
% 1.53/0.57 % (10597)Memory used [KB]: 5373
% 1.53/0.57 % (10597)Time elapsed: 0.167 s
% 1.53/0.57 % (10597)Instructions burned: 3 (million)
% 1.53/0.57 % (10597)------------------------------
% 1.53/0.57 % (10597)------------------------------
% 1.53/0.57 % (10612)Refutation found. Thanks to Tanya!
% 1.53/0.57 % SZS status Unsatisfiable for theBenchmark
% 1.53/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.53/0.57 % (10612)------------------------------
% 1.53/0.57 % (10612)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.57 % (10612)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.57 % (10612)Termination reason: Refutation
% 1.53/0.57
% 1.53/0.57 % (10612)Memory used [KB]: 5756
% 1.53/0.57 % (10612)Time elapsed: 0.009 s
% 1.53/0.57 % (10612)Instructions burned: 12 (million)
% 1.53/0.57 % (10612)------------------------------
% 1.53/0.57 % (10612)------------------------------
% 1.53/0.57 % (10588)Success in time 0.218 s
%------------------------------------------------------------------------------