TSTP Solution File: GRP051-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP051-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n011.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 : Sun May 5 05:52:52 EDT 2024
% Result : Unsatisfiable 11.49s 1.98s
% Output : Refutation 11.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 66
% Number of leaves : 2
% Syntax : Number of formulae : 168 ( 165 unt; 0 def)
% Number of atoms : 173 ( 172 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 10 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 11 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 532 ( 532 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f66103,plain,
$false,
inference(trivial_inequality_removal,[],[f65989]) ).
fof(f65989,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(superposition,[],[f23279,f38713]) ).
fof(f38713,plain,
! [X3,X0,X1] : multiply(X3,multiply(X0,X1)) = multiply(multiply(X3,X0),X1),
inference(forward_demodulation,[],[f38712,f27562]) ).
fof(f27562,plain,
! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X0,inverse(X2)),multiply(X2,X1)),
inference(forward_demodulation,[],[f27561,f25393]) ).
fof(f25393,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f25223,f79]) ).
fof(f79,plain,
! [X2,X3,X1] : multiply(multiply(multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(inverse(multiply(inverse(X2),X2))))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2))))),inverse(multiply(inverse(X2),X2))) = X1,
inference(superposition,[],[f1,f3]) ).
fof(f3,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X0,inverse(multiply(X1,X2)))),multiply(X0,inverse(X2))) = multiply(multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(inverse(multiply(inverse(X2),X2))))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2))))),
inference(superposition,[],[f1,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : multiply(multiply(inverse(multiply(X0,inverse(multiply(X1,X2)))),multiply(X0,inverse(X2))),inverse(multiply(inverse(X2),X2))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f25223,plain,
! [X2,X0,X1] : inverse(inverse(X0)) = multiply(multiply(multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(inverse(multiply(inverse(X2),X2))))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2))))),inverse(multiply(inverse(X2),X2))),
inference(superposition,[],[f79,f25013]) ).
fof(f25013,plain,
! [X0] : inverse(X0) = inverse(inverse(inverse(X0))),
inference(forward_demodulation,[],[f25012,f23177]) ).
fof(f23177,plain,
! [X2,X0,X1] : inverse(X0) = multiply(inverse(X1),multiply(multiply(inverse(multiply(X2,inverse(multiply(X1,X0)))),multiply(X2,inverse(X0))),inverse(X0))),
inference(forward_demodulation,[],[f22867,f23154]) ).
fof(f23154,plain,
! [X3,X0] : multiply(inverse(inverse(multiply(inverse(X0),X0))),X3) = X3,
inference(forward_demodulation,[],[f22761,f22588]) ).
fof(f22588,plain,
! [X2,X1] : multiply(inverse(multiply(inverse(X1),X1)),X2) = X2,
inference(forward_demodulation,[],[f22205,f79]) ).
fof(f22205,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(X1),X1)),X2) = multiply(multiply(multiply(inverse(multiply(X0,inverse(X2))),multiply(X0,inverse(inverse(multiply(inverse(X3),X3))))),inverse(multiply(inverse(inverse(multiply(inverse(X3),X3))),inverse(multiply(inverse(X3),X3))))),inverse(multiply(inverse(X3),X3))),
inference(superposition,[],[f79,f4382]) ).
fof(f4382,plain,
! [X2,X0,X1] : inverse(multiply(X0,inverse(X2))) = inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(X1),X1)),X2)))),
inference(forward_demodulation,[],[f4349,f1777]) ).
fof(f1777,plain,
! [X2,X3,X0,X1] : inverse(X0) = multiply(multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),X1)))),multiply(X2,inverse(X0))),inverse(multiply(inverse(X3),X3))),
inference(superposition,[],[f801,f669]) ).
fof(f669,plain,
! [X3,X1] : multiply(inverse(X1),X1) = multiply(inverse(X3),X3),
inference(superposition,[],[f594,f1]) ).
fof(f594,plain,
! [X2,X3,X1] : multiply(inverse(X1),X1) = multiply(inverse(multiply(X3,inverse(multiply(inverse(X2),X2)))),multiply(X3,inverse(multiply(inverse(X2),X2)))),
inference(superposition,[],[f263,f1]) ).
fof(f263,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X4,inverse(multiply(inverse(X2),X2)))),multiply(X4,inverse(X3))) = multiply(inverse(X1),multiply(multiply(inverse(multiply(X0,inverse(multiply(X1,X2)))),multiply(X0,inverse(X2))),inverse(X3))),
inference(superposition,[],[f204,f1]) ).
fof(f204,plain,
! [X3,X1,X4,X5] : multiply(inverse(multiply(X3,inverse(X4))),multiply(X3,inverse(X1))) = multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,inverse(X1))),
inference(superposition,[],[f143,f1]) ).
fof(f143,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(multiply(X0,inverse(X2))))) = multiply(inverse(multiply(X4,inverse(X1))),multiply(X4,inverse(multiply(X0,inverse(X2))))),
inference(superposition,[],[f74,f75]) ).
fof(f75,plain,
! [X2,X3,X1] : multiply(inverse(multiply(X3,inverse(multiply(multiply(X1,inverse(multiply(inverse(X2),X2))),X2)))),multiply(X3,inverse(X2))) = X1,
inference(superposition,[],[f3,f1]) ).
fof(f74,plain,
! [X2,X3,X1,X4] : multiply(inverse(multiply(X4,inverse(multiply(X1,X2)))),multiply(X4,inverse(X2))) = multiply(inverse(multiply(X3,inverse(multiply(X1,X2)))),multiply(X3,inverse(X2))),
inference(superposition,[],[f3,f3]) ).
fof(f801,plain,
! [X2,X3,X0,X1] : multiply(multiply(inverse(multiply(X2,inverse(multiply(X3,X0)))),multiply(X2,inverse(X0))),inverse(multiply(inverse(X1),X1))) = X3,
inference(superposition,[],[f1,f669]) ).
fof(f4349,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(X1),X1)),X2)))) = multiply(multiply(inverse(multiply(X4,inverse(multiply(inverse(X3),X3)))),multiply(X4,inverse(multiply(X0,inverse(X2))))),inverse(multiply(inverse(multiply(X0,inverse(X2))),multiply(X0,inverse(X2))))),
inference(superposition,[],[f1,f1064]) ).
fof(f1064,plain,
! [X2,X3,X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(X2),X2)),X1)))),multiply(X3,inverse(X1))),
inference(superposition,[],[f75,f949]) ).
fof(f949,plain,
! [X3,X0,X1] : inverse(multiply(inverse(X0),X0)) = multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(X1),X1))),
inference(forward_demodulation,[],[f872,f801]) ).
fof(f872,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(X0),X0)) = multiply(multiply(inverse(multiply(multiply(inverse(multiply(X2,inverse(multiply(X3,X0)))),multiply(X2,inverse(X0))),inverse(multiply(inverse(X1),X1)))),X3),inverse(multiply(inverse(X1),X1))),
inference(superposition,[],[f5,f669]) ).
fof(f5,plain,
! [X2,X3,X0,X1] : multiply(multiply(inverse(multiply(multiply(inverse(multiply(X0,inverse(multiply(X1,X2)))),multiply(X0,inverse(X2))),inverse(multiply(X3,multiply(inverse(X2),X2))))),X1),inverse(multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X2),X2)))) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f22761,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X0),X0)))),X3) = X3,
inference(superposition,[],[f22588,f5464]) ).
fof(f5464,plain,
! [X2,X3,X1] : inverse(inverse(multiply(inverse(X3),X3))) = inverse(multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,inverse(X1)))),
inference(forward_demodulation,[],[f5261,f4382]) ).
fof(f5261,plain,
! [X2,X3,X1] : inverse(inverse(multiply(inverse(X3),X3))) = inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(X1),X1)),X1)))),multiply(X2,inverse(X1)))),
inference(superposition,[],[f4473,f3]) ).
fof(f4473,plain,
! [X2,X0,X1] : inverse(inverse(multiply(inverse(X2),X2))) = inverse(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(X1),X1)))),
inference(superposition,[],[f4382,f949]) ).
fof(f22867,plain,
! [X2,X0,X1] : multiply(inverse(X1),multiply(multiply(inverse(multiply(X2,inverse(multiply(X1,X0)))),multiply(X2,inverse(X0))),inverse(X0))) = multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(X0)),
inference(superposition,[],[f22588,f98]) ).
fof(f98,plain,
! [X2,X3,X0,X1] : multiply(inverse(X0),multiply(multiply(inverse(multiply(X1,inverse(multiply(X0,X2)))),multiply(X1,inverse(X2))),inverse(X2))) = multiply(inverse(multiply(X3,inverse(multiply(inverse(X2),X2)))),multiply(X3,inverse(X2))),
inference(superposition,[],[f75,f4]) ).
fof(f4,plain,
! [X2,X0,X1] : inverse(X2) = multiply(multiply(inverse(X1),multiply(multiply(inverse(multiply(X0,inverse(multiply(X1,X2)))),multiply(X0,inverse(X2))),inverse(X2))),inverse(multiply(inverse(X2),X2))),
inference(superposition,[],[f1,f1]) ).
fof(f25012,plain,
! [X2,X0,X1] : multiply(inverse(X1),multiply(multiply(inverse(multiply(X2,inverse(multiply(X1,X0)))),multiply(X2,inverse(X0))),inverse(X0))) = inverse(inverse(inverse(X0))),
inference(forward_demodulation,[],[f24700,f24244]) ).
fof(f24244,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(X0),inverse(multiply(inverse(X1),X1))),
inference(superposition,[],[f23186,f669]) ).
fof(f23186,plain,
! [X1] : inverse(X1) = multiply(inverse(X1),inverse(multiply(inverse(X1),X1))),
inference(forward_demodulation,[],[f23038,f23181]) ).
fof(f23181,plain,
! [X2,X0,X1] : inverse(X1) = multiply(inverse(X2),multiply(multiply(inverse(inverse(multiply(X2,X0))),inverse(X0)),inverse(X1))),
inference(forward_demodulation,[],[f23180,f23154]) ).
fof(f23180,plain,
! [X2,X0,X1] : multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(X1)) = multiply(inverse(X2),multiply(multiply(inverse(inverse(multiply(X2,X0))),inverse(X0)),inverse(X1))),
inference(forward_demodulation,[],[f22873,f22868]) ).
fof(f22868,plain,
! [X2,X0,X1] : multiply(inverse(inverse(multiply(X0,X1))),inverse(X1)) = multiply(inverse(multiply(X2,inverse(multiply(X0,X1)))),multiply(X2,inverse(X1))),
inference(superposition,[],[f22588,f74]) ).
fof(f22873,plain,
! [X2,X3,X0,X1] : multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(X1)) = multiply(inverse(X2),multiply(multiply(inverse(multiply(X3,inverse(multiply(X2,X0)))),multiply(X3,inverse(X0))),inverse(X1))),
inference(superposition,[],[f22588,f263]) ).
fof(f23038,plain,
! [X0,X1] : inverse(X1) = multiply(multiply(inverse(X0),multiply(multiply(inverse(inverse(multiply(X0,X1))),inverse(X1)),inverse(X1))),inverse(multiply(inverse(X1),X1))),
inference(superposition,[],[f4,f22588]) ).
fof(f24700,plain,
! [X2,X0,X1] : multiply(inverse(X1),multiply(multiply(inverse(multiply(X2,inverse(multiply(X1,X0)))),multiply(X2,inverse(X0))),inverse(X0))) = inverse(multiply(inverse(inverse(X0)),inverse(multiply(inverse(X0),X0)))),
inference(superposition,[],[f24300,f98]) ).
fof(f24300,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(X0),multiply(inverse(X1),X1)),
inference(superposition,[],[f23186,f13156]) ).
fof(f13156,plain,
! [X2,X1] : multiply(inverse(X2),X2) = inverse(multiply(inverse(X1),X1)),
inference(superposition,[],[f12924,f5836]) ).
fof(f5836,plain,
! [X3,X1] : inverse(multiply(inverse(X1),X1)) = inverse(inverse(multiply(inverse(X3),X3))),
inference(superposition,[],[f5464,f1]) ).
fof(f12924,plain,
! [X0,X1] : inverse(inverse(multiply(inverse(X0),X0))) = multiply(inverse(X1),X1),
inference(superposition,[],[f6101,f1220]) ).
fof(f1220,plain,
! [X2,X0,X1] : multiply(inverse(X2),X2) = multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X0),X0)),
inference(superposition,[],[f669,f991]) ).
fof(f991,plain,
! [X2,X3] : inverse(multiply(inverse(X2),X2)) = inverse(multiply(inverse(X3),X3)),
inference(superposition,[],[f949,f949]) ).
fof(f6101,plain,
! [X3,X4] : inverse(inverse(multiply(inverse(X4),X4))) = multiply(inverse(multiply(X3,inverse(X4))),multiply(X3,inverse(X4))),
inference(forward_demodulation,[],[f6100,f4382]) ).
fof(f6100,plain,
! [X3,X0,X4] : inverse(inverse(multiply(inverse(X4),X4))) = multiply(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(X0),X0)),X4)))),multiply(X3,inverse(X4))),
inference(forward_demodulation,[],[f5891,f1777]) ).
fof(f5891,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(X0),X0)),X4)))),multiply(X3,inverse(X4))) = multiply(multiply(inverse(multiply(X5,inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X2)))))),multiply(X5,inverse(inverse(multiply(inverse(X4),X4))))),inverse(multiply(inverse(inverse(multiply(inverse(X4),X4))),inverse(multiply(inverse(X4),X4))))),
inference(superposition,[],[f3,f5464]) ).
fof(f27561,plain,
! [X2,X0,X1] : inverse(inverse(multiply(X0,X1))) = multiply(multiply(X0,inverse(X2)),multiply(X2,X1)),
inference(forward_demodulation,[],[f27560,f27172]) ).
fof(f27172,plain,
! [X0,X1] : multiply(X1,inverse(X0)) = inverse(multiply(X0,inverse(X1))),
inference(forward_demodulation,[],[f27171,f26313]) ).
fof(f26313,plain,
! [X2,X3] : multiply(inverse(multiply(X2,inverse(X3))),X2) = X3,
inference(forward_demodulation,[],[f26312,f25393]) ).
fof(f26312,plain,
! [X2,X3] : inverse(inverse(X3)) = multiply(inverse(multiply(X2,inverse(X3))),X2),
inference(forward_demodulation,[],[f26311,f25875]) ).
fof(f25875,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X1),X1)) = X0,
inference(superposition,[],[f24300,f25393]) ).
fof(f26311,plain,
! [X2,X3,X1] : inverse(inverse(X3)) = multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,multiply(inverse(X1),X1))),
inference(forward_demodulation,[],[f26310,f24300]) ).
fof(f26310,plain,
! [X2,X3,X1] : multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,multiply(inverse(X1),X1))) = multiply(inverse(inverse(X3)),multiply(inverse(X1),X1)),
inference(forward_demodulation,[],[f26309,f25871]) ).
fof(f25871,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X0)),X1) = X1,
inference(superposition,[],[f22839,f25393]) ).
fof(f22839,plain,
! [X2,X1] : multiply(multiply(inverse(X1),X1),X2) = X2,
inference(superposition,[],[f22588,f13156]) ).
fof(f26309,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,multiply(inverse(X1),X1))) = multiply(inverse(multiply(multiply(X0,inverse(X0)),inverse(X3))),multiply(inverse(X1),X1)),
inference(forward_demodulation,[],[f26136,f25393]) ).
fof(f26136,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(inverse(multiply(inverse(X1),X1))))) = multiply(inverse(multiply(multiply(X0,inverse(X0)),inverse(X3))),inverse(inverse(multiply(inverse(X1),X1)))),
inference(superposition,[],[f120,f25871]) ).
fof(f120,plain,
! [X2,X0,X1,X4] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(inverse(multiply(inverse(X2),X2))))) = multiply(inverse(multiply(X4,inverse(X1))),multiply(X4,inverse(inverse(multiply(inverse(X2),X2))))),
inference(forward_demodulation,[],[f100,f1]) ).
fof(f100,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(inverse(multiply(inverse(X2),X2))))) = multiply(inverse(multiply(X4,inverse(multiply(multiply(inverse(multiply(X3,inverse(multiply(X1,X2)))),multiply(X3,inverse(X2))),inverse(multiply(inverse(X2),X2)))))),multiply(X4,inverse(inverse(multiply(inverse(X2),X2))))),
inference(superposition,[],[f75,f3]) ).
fof(f27171,plain,
! [X3,X0,X1] : inverse(multiply(X0,inverse(X1))) = multiply(multiply(inverse(multiply(X3,inverse(X1))),X3),inverse(X0)),
inference(forward_demodulation,[],[f27170,f25875]) ).
fof(f27170,plain,
! [X2,X3,X0,X1] : inverse(multiply(X0,inverse(X1))) = multiply(multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,multiply(inverse(X2),X2))),inverse(X0)),
inference(forward_demodulation,[],[f27169,f25875]) ).
fof(f27169,plain,
! [X2,X3,X0,X1] : inverse(multiply(X0,inverse(X1))) = multiply(multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,multiply(inverse(X2),X2))),inverse(multiply(X0,multiply(inverse(X2),X2)))),
inference(forward_demodulation,[],[f26932,f25393]) ).
fof(f26932,plain,
! [X2,X3,X0,X1] : inverse(multiply(X0,inverse(X1))) = multiply(multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(inverse(multiply(inverse(X2),X2))))),inverse(multiply(X0,inverse(inverse(multiply(inverse(X2),X2)))))),
inference(superposition,[],[f26221,f120]) ).
fof(f26221,plain,
! [X2,X1] : multiply(multiply(X2,X1),inverse(X1)) = X2,
inference(forward_demodulation,[],[f26220,f25393]) ).
fof(f26220,plain,
! [X2,X1] : multiply(inverse(inverse(multiply(X2,X1))),inverse(X1)) = X2,
inference(forward_demodulation,[],[f26219,f25053]) ).
fof(f25053,plain,
! [X0,X1] : multiply(inverse(inverse(X1)),inverse(multiply(inverse(X0),X0))) = X1,
inference(forward_demodulation,[],[f25052,f24442]) ).
fof(f24442,plain,
! [X2,X0] : inverse(X0) = multiply(inverse(X0),inverse(inverse(multiply(inverse(X2),X2)))),
inference(forward_demodulation,[],[f24249,f23154]) ).
fof(f24249,plain,
! [X2,X0,X1] : inverse(X0) = multiply(inverse(X0),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X2),X2))))),
inference(superposition,[],[f23186,f1946]) ).
fof(f1946,plain,
! [X2,X0,X1] : multiply(inverse(X1),X1) = multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X2),X2))),
inference(superposition,[],[f1819,f669]) ).
fof(f1819,plain,
! [X2,X3,X1] : multiply(X1,inverse(multiply(inverse(X2),X2))) = multiply(X1,inverse(multiply(inverse(X3),X3))),
inference(superposition,[],[f801,f75]) ).
fof(f25052,plain,
! [X0,X1] : multiply(multiply(inverse(inverse(X1)),inverse(inverse(multiply(inverse(X0),X0)))),inverse(multiply(inverse(X0),X0))) = X1,
inference(forward_demodulation,[],[f25051,f25020]) ).
fof(f25020,plain,
! [X0,X1] : inverse(multiply(inverse(inverse(X0)),inverse(X1))) = multiply(inverse(inverse(X1)),inverse(X0)),
inference(forward_demodulation,[],[f24709,f22877]) ).
fof(f22877,plain,
! [X2,X0,X1] : multiply(inverse(inverse(X0)),inverse(X1)) = multiply(inverse(multiply(X2,inverse(X0))),multiply(X2,inverse(X1))),
inference(superposition,[],[f22588,f204]) ).
fof(f24709,plain,
! [X2,X0,X1] : inverse(multiply(inverse(inverse(X0)),inverse(X1))) = multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,inverse(X0))),
inference(superposition,[],[f24300,f204]) ).
fof(f25051,plain,
! [X0,X1] : multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(X0),X0)))),inverse(X1))),inverse(multiply(inverse(X0),X0))) = X1,
inference(forward_demodulation,[],[f24764,f24244]) ).
fof(f24764,plain,
! [X0,X1] : multiply(multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(X0),X0)))),inverse(X1))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))))),inverse(multiply(inverse(X0),X0))) = X1,
inference(superposition,[],[f79,f24300]) ).
fof(f26219,plain,
! [X2,X1] : multiply(inverse(inverse(multiply(X2,X1))),inverse(X1)) = multiply(inverse(inverse(X2)),inverse(multiply(inverse(X1),X1))),
inference(forward_demodulation,[],[f26218,f24442]) ).
fof(f26218,plain,
! [X2,X1] : multiply(inverse(inverse(multiply(X2,X1))),inverse(X1)) = multiply(multiply(inverse(inverse(X2)),inverse(inverse(multiply(inverse(X1),X1)))),inverse(multiply(inverse(X1),X1))),
inference(forward_demodulation,[],[f26217,f22877]) ).
fof(f26217,plain,
! [X2,X3,X1] : multiply(inverse(inverse(multiply(X2,X1))),inverse(X1)) = multiply(multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(inverse(multiply(inverse(X1),X1))))),inverse(multiply(inverse(X1),X1))),
inference(forward_demodulation,[],[f26216,f23154]) ).
fof(f26216,plain,
! [X2,X3,X1] : multiply(inverse(inverse(multiply(X2,X1))),inverse(X1)) = multiply(multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(inverse(multiply(inverse(X1),X1))))),multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))),
inference(forward_demodulation,[],[f26215,f25020]) ).
fof(f26215,plain,
! [X2,X3,X1] : multiply(inverse(inverse(multiply(X2,X1))),inverse(X1)) = multiply(multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(inverse(multiply(inverse(X1),X1))))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1))))),
inference(forward_demodulation,[],[f26078,f25871]) ).
fof(f26078,plain,
! [X2,X3,X0,X1] : multiply(multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(inverse(multiply(inverse(X1),X1))))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1))))) = multiply(inverse(multiply(multiply(X0,inverse(X0)),inverse(multiply(X2,X1)))),inverse(X1)),
inference(superposition,[],[f3,f25871]) ).
fof(f27560,plain,
! [X2,X0,X1] : inverse(inverse(multiply(X0,X1))) = multiply(inverse(multiply(X2,inverse(X0))),multiply(X2,X1)),
inference(forward_demodulation,[],[f27559,f25393]) ).
fof(f27559,plain,
! [X2,X0,X1] : inverse(inverse(multiply(X0,X1))) = multiply(inverse(multiply(X2,inverse(X0))),multiply(X2,inverse(inverse(X1)))),
inference(forward_demodulation,[],[f27558,f27006]) ).
fof(f27006,plain,
! [X0,X1] : multiply(multiply(X1,inverse(X0)),X0) = X1,
inference(superposition,[],[f26221,f25393]) ).
fof(f27558,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X2,inverse(X0))),multiply(X2,inverse(inverse(X1)))) = multiply(multiply(inverse(inverse(multiply(X0,X1))),inverse(multiply(X1,inverse(X1)))),multiply(X1,inverse(X1))),
inference(forward_demodulation,[],[f27557,f22877]) ).
fof(f27557,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X2,inverse(X0))),multiply(X2,inverse(inverse(X1)))) = multiply(multiply(inverse(multiply(X3,inverse(multiply(X0,X1)))),multiply(X3,inverse(multiply(X1,inverse(X1))))),multiply(X1,inverse(X1))),
inference(forward_demodulation,[],[f27556,f25013]) ).
fof(f27556,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X2,inverse(X0))),multiply(X2,inverse(inverse(X1)))) = multiply(multiply(inverse(multiply(X3,inverse(multiply(X0,X1)))),multiply(X3,inverse(multiply(X1,inverse(inverse(inverse(X1))))))),multiply(X1,inverse(inverse(inverse(X1))))),
inference(forward_demodulation,[],[f27555,f27172]) ).
fof(f27555,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X2,inverse(X0))),multiply(X2,inverse(inverse(X1)))) = multiply(multiply(inverse(multiply(X3,inverse(multiply(X0,X1)))),multiply(X3,inverse(inverse(multiply(inverse(inverse(X1)),inverse(X1)))))),inverse(multiply(inverse(inverse(X1)),inverse(X1)))),
inference(forward_demodulation,[],[f27554,f25013]) ).
fof(f27554,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X2,inverse(X0))),multiply(X2,inverse(inverse(X1)))) = multiply(multiply(inverse(multiply(X3,inverse(multiply(X0,X1)))),multiply(X3,inverse(inverse(multiply(inverse(inverse(X1)),inverse(X1)))))),inverse(inverse(inverse(multiply(inverse(inverse(X1)),inverse(X1)))))),
inference(forward_demodulation,[],[f27553,f22839]) ).
fof(f27553,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X2,inverse(X0))),multiply(X2,inverse(inverse(X1)))) = multiply(multiply(inverse(multiply(X3,inverse(multiply(X0,X1)))),multiply(X3,inverse(inverse(multiply(inverse(inverse(X1)),inverse(X1)))))),multiply(multiply(inverse(inverse(X1)),inverse(X1)),inverse(inverse(inverse(multiply(inverse(inverse(X1)),inverse(X1))))))),
inference(forward_demodulation,[],[f27102,f27172]) ).
fof(f27102,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X2,inverse(X0))),multiply(X2,inverse(inverse(X1)))) = multiply(multiply(inverse(multiply(X3,inverse(multiply(X0,X1)))),multiply(X3,inverse(inverse(multiply(inverse(inverse(X1)),inverse(X1)))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(X1)),inverse(X1)))),inverse(multiply(inverse(inverse(X1)),inverse(X1)))))),
inference(superposition,[],[f3,f26221]) ).
fof(f38712,plain,
! [X2,X3,X0,X1] : multiply(multiply(X3,X0),X1) = multiply(multiply(X3,inverse(X2)),multiply(X2,multiply(X0,X1))),
inference(forward_demodulation,[],[f38711,f27172]) ).
fof(f38711,plain,
! [X2,X3,X0,X1] : multiply(multiply(X3,X0),X1) = multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,multiply(X0,X1))),
inference(forward_demodulation,[],[f38710,f25393]) ).
fof(f38710,plain,
! [X2,X3,X0,X1] : multiply(multiply(X3,X0),X1) = multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,multiply(X0,inverse(inverse(X1))))),
inference(forward_demodulation,[],[f38709,f28046]) ).
fof(f28046,plain,
! [X2,X0,X1] : inverse(multiply(X0,inverse(multiply(X2,X1)))) = multiply(X2,multiply(X1,inverse(X0))),
inference(forward_demodulation,[],[f28045,f27484]) ).
fof(f27484,plain,
! [X2,X3,X1,X4] : multiply(multiply(X4,inverse(X3)),multiply(X3,multiply(X2,inverse(X1)))) = multiply(X4,multiply(X2,inverse(X1))),
inference(forward_demodulation,[],[f27483,f27414]) ).
fof(f27414,plain,
! [X3,X1,X4] : multiply(multiply(X1,X4),inverse(X3)) = multiply(X1,multiply(X4,inverse(X3))),
inference(forward_demodulation,[],[f27413,f27172]) ).
fof(f27413,plain,
! [X3,X1,X4] : multiply(X1,inverse(multiply(X3,inverse(X4)))) = multiply(multiply(X1,X4),inverse(X3)),
inference(forward_demodulation,[],[f27412,f27408]) ).
fof(f27408,plain,
! [X2,X3,X1,X4] : multiply(multiply(X1,X3),inverse(X2)) = multiply(multiply(X1,inverse(X4)),multiply(multiply(X4,X3),inverse(X2))),
inference(forward_demodulation,[],[f27407,f27172]) ).
fof(f27407,plain,
! [X2,X3,X1,X4] : multiply(multiply(X1,X3),inverse(X2)) = multiply(inverse(multiply(X4,inverse(X1))),multiply(multiply(X4,X3),inverse(X2))),
inference(forward_demodulation,[],[f27406,f27172]) ).
fof(f27406,plain,
! [X2,X3,X1,X4] : multiply(multiply(X1,X3),inverse(X2)) = multiply(inverse(multiply(X4,inverse(X1))),inverse(multiply(X2,inverse(multiply(X4,X3))))),
inference(forward_demodulation,[],[f27405,f27141]) ).
fof(f27141,plain,
! [X2,X0,X1] : inverse(multiply(X0,inverse(multiply(X1,X2)))) = multiply(X1,inverse(multiply(X0,inverse(X2)))),
inference(forward_demodulation,[],[f27140,f26221]) ).
fof(f27140,plain,
! [X2,X0,X1] : inverse(multiply(X0,inverse(multiply(X1,X2)))) = multiply(multiply(multiply(X1,X2),inverse(X2)),inverse(multiply(X0,inverse(X2)))),
inference(forward_demodulation,[],[f27139,f25393]) ).
fof(f27139,plain,
! [X2,X0,X1] : inverse(multiply(X0,inverse(multiply(X1,X2)))) = multiply(multiply(inverse(inverse(multiply(X1,X2))),inverse(X2)),inverse(multiply(X0,inverse(X2)))),
inference(forward_demodulation,[],[f26919,f22868]) ).
fof(f26919,plain,
! [X2,X3,X0,X1] : inverse(multiply(X0,inverse(multiply(X1,X2)))) = multiply(multiply(inverse(multiply(X3,inverse(multiply(X1,X2)))),multiply(X3,inverse(X2))),inverse(multiply(X0,inverse(X2)))),
inference(superposition,[],[f26221,f74]) ).
fof(f27405,plain,
! [X2,X3,X1,X4] : multiply(inverse(multiply(X4,inverse(X1))),multiply(X4,inverse(multiply(X2,inverse(X3))))) = multiply(multiply(X1,X3),inverse(X2)),
inference(forward_demodulation,[],[f27404,f27172]) ).
fof(f27404,plain,
! [X2,X3,X1,X4] : multiply(inverse(multiply(X4,inverse(X1))),multiply(X4,inverse(multiply(X2,inverse(X3))))) = inverse(multiply(X2,inverse(multiply(X1,X3)))),
inference(forward_demodulation,[],[f27403,f27141]) ).
fof(f27403,plain,
! [X2,X3,X1,X4] : multiply(inverse(multiply(X4,inverse(X1))),multiply(X4,inverse(multiply(X2,inverse(X3))))) = multiply(X1,inverse(multiply(X2,inverse(X3)))),
inference(forward_demodulation,[],[f27054,f27354]) ).
fof(f27354,plain,
! [X2,X0,X1] : multiply(X2,inverse(X0)) = multiply(inverse(X1),multiply(multiply(X1,X2),inverse(X0))),
inference(forward_demodulation,[],[f27353,f27172]) ).
fof(f27353,plain,
! [X2,X0,X1] : inverse(multiply(X0,inverse(X2))) = multiply(inverse(X1),multiply(multiply(X1,X2),inverse(X0))),
inference(forward_demodulation,[],[f27352,f23190]) ).
fof(f23190,plain,
! [X2,X3,X1] : inverse(X3) = multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),X1)))),multiply(X2,inverse(X3))),
inference(forward_demodulation,[],[f23044,f23181]) ).
fof(f23044,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),X1)))),multiply(X2,inverse(X3))) = multiply(inverse(X0),multiply(multiply(inverse(inverse(multiply(X0,X1))),inverse(X1)),inverse(X3))),
inference(superposition,[],[f263,f22588]) ).
fof(f27352,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X3,inverse(multiply(inverse(X2),X2)))),multiply(X3,inverse(multiply(X0,inverse(X2))))) = multiply(inverse(X1),multiply(multiply(X1,X2),inverse(X0))),
inference(forward_demodulation,[],[f27026,f27172]) ).
fof(f27026,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X3,inverse(multiply(inverse(X2),X2)))),multiply(X3,inverse(multiply(X0,inverse(X2))))) = multiply(inverse(X1),inverse(multiply(X0,inverse(multiply(X1,X2))))),
inference(superposition,[],[f263,f26221]) ).
fof(f27054,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X4,inverse(X1))),multiply(X4,inverse(multiply(X2,inverse(X3))))) = multiply(inverse(X0),multiply(multiply(X0,X1),inverse(multiply(X2,inverse(X3))))),
inference(superposition,[],[f143,f26221]) ).
fof(f27412,plain,
! [X2,X3,X1,X4] : multiply(X1,inverse(multiply(X3,inverse(X4)))) = multiply(multiply(X1,inverse(X2)),multiply(multiply(X2,X4),inverse(X3))),
inference(forward_demodulation,[],[f27411,f27172]) ).
fof(f27411,plain,
! [X2,X3,X1,X4] : multiply(X1,inverse(multiply(X3,inverse(X4)))) = multiply(inverse(multiply(X2,inverse(X1))),multiply(multiply(X2,X4),inverse(X3))),
inference(forward_demodulation,[],[f27410,f27172]) ).
fof(f27410,plain,
! [X2,X3,X1,X4] : multiply(X1,inverse(multiply(X3,inverse(X4)))) = multiply(inverse(multiply(X2,inverse(X1))),inverse(multiply(X3,inverse(multiply(X2,X4))))),
inference(forward_demodulation,[],[f27409,f27141]) ).
fof(f27409,plain,
! [X2,X3,X1,X4] : multiply(X1,inverse(multiply(X3,inverse(X4)))) = multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,inverse(multiply(X3,inverse(X4))))),
inference(forward_demodulation,[],[f27055,f27354]) ).
fof(f27055,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,inverse(multiply(X3,inverse(X4))))) = multiply(inverse(X0),multiply(multiply(X0,X1),inverse(multiply(X3,inverse(X4))))),
inference(superposition,[],[f143,f26221]) ).
fof(f27483,plain,
! [X2,X3,X1,X4] : multiply(multiply(X4,inverse(X3)),multiply(X3,multiply(X2,inverse(X1)))) = multiply(multiply(X4,X2),inverse(X1)),
inference(forward_demodulation,[],[f27482,f27172]) ).
fof(f27482,plain,
! [X2,X3,X1,X4] : inverse(multiply(X1,inverse(multiply(X4,X2)))) = multiply(multiply(X4,inverse(X3)),multiply(X3,multiply(X2,inverse(X1)))),
inference(forward_demodulation,[],[f27481,f27141]) ).
fof(f27481,plain,
! [X2,X3,X1,X4] : multiply(X4,inverse(multiply(X1,inverse(X2)))) = multiply(multiply(X4,inverse(X3)),multiply(X3,multiply(X2,inverse(X1)))),
inference(forward_demodulation,[],[f27480,f27172]) ).
fof(f27480,plain,
! [X2,X3,X1,X4] : multiply(X4,inverse(multiply(X1,inverse(X2)))) = multiply(inverse(multiply(X3,inverse(X4))),multiply(X3,multiply(X2,inverse(X1)))),
inference(forward_demodulation,[],[f27479,f27414]) ).
fof(f27479,plain,
! [X2,X3,X1,X4] : multiply(X4,inverse(multiply(X1,inverse(X2)))) = multiply(inverse(multiply(X3,inverse(X4))),multiply(multiply(X3,X2),inverse(X1))),
inference(forward_demodulation,[],[f27478,f27172]) ).
fof(f27478,plain,
! [X2,X3,X1,X4] : multiply(X4,inverse(multiply(X1,inverse(X2)))) = multiply(inverse(multiply(X3,inverse(X4))),inverse(multiply(X1,inverse(multiply(X3,X2))))),
inference(forward_demodulation,[],[f27477,f27141]) ).
fof(f27477,plain,
! [X2,X3,X1,X4] : multiply(X4,inverse(multiply(X1,inverse(X2)))) = multiply(inverse(multiply(X3,inverse(X4))),multiply(X3,inverse(multiply(X1,inverse(X2))))),
inference(forward_demodulation,[],[f27476,f27417]) ).
fof(f27417,plain,
! [X2,X0,X1] : multiply(X2,inverse(X1)) = multiply(multiply(X2,inverse(multiply(X0,X1))),X0),
inference(forward_demodulation,[],[f27416,f25393]) ).
fof(f27416,plain,
! [X2,X0,X1] : multiply(inverse(inverse(X2)),inverse(X1)) = multiply(multiply(X2,inverse(multiply(X0,X1))),X0),
inference(forward_demodulation,[],[f27415,f22877]) ).
fof(f27415,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(X1))) = multiply(multiply(X2,inverse(multiply(X0,X1))),X0),
inference(forward_demodulation,[],[f27056,f27172]) ).
fof(f27056,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(X1))) = multiply(inverse(multiply(multiply(X0,X1),inverse(X2))),X0),
inference(superposition,[],[f204,f26221]) ).
fof(f27476,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X3,inverse(X4))),multiply(X3,inverse(multiply(X1,inverse(X2))))) = multiply(multiply(X4,inverse(multiply(X0,multiply(X1,inverse(X2))))),X0),
inference(forward_demodulation,[],[f27077,f27172]) ).
fof(f27077,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X3,inverse(X4))),multiply(X3,inverse(multiply(X1,inverse(X2))))) = multiply(inverse(multiply(multiply(X0,multiply(X1,inverse(X2))),inverse(X4))),X0),
inference(superposition,[],[f143,f26221]) ).
fof(f28045,plain,
! [X2,X3,X0,X1] : inverse(multiply(X0,inverse(multiply(X2,X1)))) = multiply(multiply(X2,inverse(X3)),multiply(X3,multiply(X1,inverse(X0)))),
inference(forward_demodulation,[],[f28044,f27172]) ).
fof(f28044,plain,
! [X2,X3,X0,X1] : inverse(multiply(X0,inverse(multiply(X2,X1)))) = multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,multiply(X1,inverse(X0)))),
inference(forward_demodulation,[],[f28043,f27414]) ).
fof(f28043,plain,
! [X2,X3,X0,X1] : inverse(multiply(X0,inverse(multiply(X2,X1)))) = multiply(inverse(multiply(X3,inverse(X2))),multiply(multiply(X3,X1),inverse(X0))),
inference(forward_demodulation,[],[f28042,f27172]) ).
fof(f28042,plain,
! [X2,X3,X0,X1] : inverse(multiply(X0,inverse(multiply(X2,X1)))) = multiply(inverse(multiply(X3,inverse(X2))),inverse(multiply(X0,inverse(multiply(X3,X1))))),
inference(forward_demodulation,[],[f28041,f27141]) ).
fof(f28041,plain,
! [X2,X3,X0,X1] : inverse(multiply(X0,inverse(multiply(X2,X1)))) = multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(multiply(X0,inverse(X1))))),
inference(forward_demodulation,[],[f28040,f27141]) ).
fof(f28040,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(multiply(X0,inverse(X1))))) = multiply(X2,inverse(multiply(X0,inverse(X1)))),
inference(forward_demodulation,[],[f27687,f27172]) ).
fof(f27687,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(multiply(X0,inverse(X1))))) = inverse(multiply(multiply(X0,inverse(X1)),inverse(X2))),
inference(superposition,[],[f26377,f143]) ).
fof(f26377,plain,
! [X0,X1] : multiply(X1,multiply(X0,inverse(X0))) = X1,
inference(superposition,[],[f25875,f25393]) ).
fof(f38709,plain,
! [X2,X3,X0,X1] : multiply(multiply(X3,X0),X1) = multiply(inverse(multiply(X2,inverse(X3))),inverse(multiply(inverse(X1),inverse(multiply(X2,X0))))),
inference(forward_demodulation,[],[f38708,f27141]) ).
fof(f38708,plain,
! [X2,X3,X0,X1] : multiply(multiply(X3,X0),X1) = multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(multiply(inverse(X1),inverse(X0))))),
inference(forward_demodulation,[],[f38707,f25393]) ).
fof(f38707,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(multiply(inverse(X1),inverse(X0))))) = multiply(multiply(X3,inverse(inverse(X0))),X1),
inference(forward_demodulation,[],[f38306,f27172]) ).
fof(f38306,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(multiply(inverse(X1),inverse(X0))))) = multiply(inverse(multiply(inverse(X0),inverse(X3))),X1),
inference(superposition,[],[f143,f29760]) ).
fof(f29760,plain,
! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
inference(superposition,[],[f26221,f29227]) ).
fof(f29227,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[],[f27522,f25393]) ).
fof(f27522,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f27521,f26672]) ).
fof(f26672,plain,
! [X2,X3] : multiply(X3,inverse(multiply(inverse(X2),X2))) = X3,
inference(forward_demodulation,[],[f26671,f22588]) ).
fof(f26671,plain,
! [X2,X3,X1] : multiply(X3,inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X2),X2)))) = X3,
inference(forward_demodulation,[],[f26331,f24300]) ).
fof(f26331,plain,
! [X2,X3,X0,X1] : multiply(X3,multiply(inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X2),X2))),multiply(inverse(X0),X0))) = X3,
inference(superposition,[],[f25875,f1119]) ).
fof(f1119,plain,
! [X2,X0,X1] : inverse(multiply(inverse(X2),X2)) = inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X0),X0))),
inference(superposition,[],[f991,f991]) ).
fof(f27521,plain,
! [X2,X0,X1] : multiply(inverse(X0),multiply(X0,multiply(X1,inverse(multiply(inverse(X2),X2))))) = X1,
inference(forward_demodulation,[],[f27520,f26221]) ).
fof(f27520,plain,
! [X2,X0,X1] : multiply(inverse(X0),multiply(X0,multiply(multiply(multiply(X1,inverse(multiply(inverse(X2),X2))),X2),inverse(X2)))) = X1,
inference(forward_demodulation,[],[f27093,f27414]) ).
fof(f27093,plain,
! [X2,X0,X1] : multiply(inverse(X0),multiply(multiply(X0,multiply(multiply(X1,inverse(multiply(inverse(X2),X2))),X2)),inverse(X2))) = X1,
inference(superposition,[],[f75,f26221]) ).
fof(f23279,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(unit_resulting_resolution,[],[f22839,f948]) ).
fof(f948,plain,
! [X0] :
( a2 != multiply(multiply(inverse(X0),X0),a2)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(subsumption_resolution,[],[f823,f669]) ).
fof(f823,plain,
! [X0] :
( a2 != multiply(multiply(inverse(X0),X0),a2)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(superposition,[],[f2,f669]) ).
fof(f2,axiom,
( a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP051-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri May 3 20:44:08 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % (30215)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.36 % (30218)WARNING: value z3 for option sas not known
% 0.12/0.36 % (30219)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.36 % (30220)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.12/0.36 TRYING [1]
% 0.12/0.36 % (30218)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.36 % (30221)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.12/0.36 % (30222)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.12/0.36 TRYING [2]
% 0.12/0.36 % (30217)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.36 % (30216)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.36 TRYING [3]
% 0.12/0.37 TRYING [1]
% 0.12/0.37 TRYING [2]
% 0.12/0.37 TRYING [3]
% 0.12/0.38 TRYING [4]
% 6.57/1.30 TRYING [4]
% 7.74/1.47 TRYING [1]
% 7.74/1.47 TRYING [2]
% 7.74/1.47 TRYING [3]
% 7.74/1.49 TRYING [4]
% 11.49/1.98 % (30222)First to succeed.
% 11.49/1.98 % (30222)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-30215"
% 11.49/1.98 % (30222)Refutation found. Thanks to Tanya!
% 11.49/1.98 % SZS status Unsatisfiable for theBenchmark
% 11.49/1.98 % SZS output start Proof for theBenchmark
% See solution above
% 11.49/1.99 % (30222)------------------------------
% 11.49/1.99 % (30222)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 11.49/1.99 % (30222)Termination reason: Refutation
% 11.49/1.99
% 11.49/1.99 % (30222)Memory used [KB]: 17638
% 11.49/1.99 % (30222)Time elapsed: 1.621 s
% 11.49/1.99 % (30222)Instructions burned: 3659 (million)
% 11.49/1.99 % (30215)Success in time 1.625 s
%------------------------------------------------------------------------------