TSTP Solution File: GRP416-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP416-1 : TPTP v8.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n019.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 : Mon May 20 21:30:25 EDT 2024
% Result : Unsatisfiable 3.21s 0.84s
% Output : Refutation 3.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 2
% Syntax : Number of formulae : 78 ( 78 unt; 0 def)
% Number of atoms : 78 ( 77 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 16 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 242 ( 242 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15543,plain,
$false,
inference(trivial_inequality_removal,[],[f15428]) ).
fof(f15428,plain,
a2 != a2,
inference(superposition,[],[f5654,f15143]) ).
fof(f15143,plain,
! [X2,X0] : multiply(multiply(inverse(X0),X0),X2) = X2,
inference(forward_demodulation,[],[f15142,f13072]) ).
fof(f13072,plain,
! [X2,X3] : multiply(X2,multiply(inverse(X2),inverse(inverse(X3)))) = X3,
inference(forward_demodulation,[],[f12525,f13068]) ).
fof(f13068,plain,
! [X3,X0,X1,X4] : multiply(inverse(X3),inverse(inverse(X4))) = inverse(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X3,X0)),X4)),inverse(inverse(multiply(inverse(X1),X1)))))))),
inference(forward_demodulation,[],[f13067,f12320]) ).
fof(f12320,plain,
! [X3,X0] : multiply(inverse(X3),X0) = inverse(multiply(multiply(inverse(X0),X3),inverse(multiply(inverse(X3),X3)))),
inference(forward_demodulation,[],[f12319,f11559]) ).
fof(f11559,plain,
! [X3,X0,X1] : multiply(inverse(X0),X1) = inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,X0))),
inference(superposition,[],[f11132,f4214]) ).
fof(f4214,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X2,X3)),multiply(X2,X0)) = multiply(inverse(multiply(inverse(X0),X3)),multiply(inverse(X1),X1)),
inference(superposition,[],[f3063,f3799]) ).
fof(f3799,plain,
! [X2,X3] : multiply(inverse(X3),X3) = multiply(inverse(X2),X2),
inference(superposition,[],[f2986,f143]) ).
fof(f143,plain,
! [X2,X1,X5] : multiply(inverse(multiply(inverse(multiply(X5,X1)),multiply(X5,inverse(inverse(multiply(X1,inverse(X2))))))),inverse(multiply(inverse(X1),X1))) = X2,
inference(forward_demodulation,[],[f104,f24]) ).
fof(f24,plain,
! [X2,X3,X4] : inverse(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,X2))),inverse(multiply(inverse(X3),X3))))))) = X2,
inference(superposition,[],[f1,f4]) ).
fof(f4,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X0),X0))))) = inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,X2))),inverse(multiply(inverse(X3),X3)))))),
inference(superposition,[],[f1,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X0),X0)))))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f104,plain,
! [X2,X3,X1,X4,X5] : inverse(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,X2))),inverse(multiply(inverse(X3),X3))))))) = multiply(inverse(multiply(inverse(multiply(X5,X1)),multiply(X5,inverse(inverse(multiply(X1,inverse(X2))))))),inverse(multiply(inverse(X1),X1))),
inference(superposition,[],[f44,f4]) ).
fof(f44,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(inverse(X2))))),inverse(multiply(inverse(X0),X0))) = inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X0,X3)),X2)),inverse(multiply(inverse(X3),X3)))))),
inference(superposition,[],[f1,f22]) ).
fof(f22,plain,
! [X2,X3,X4] : multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(inverse(X2))))),inverse(multiply(inverse(X3),X3))))) = X2,
inference(superposition,[],[f4,f1]) ).
fof(f2986,plain,
! [X2,X0,X1] : multiply(inverse(X1),X1) = multiply(inverse(multiply(X2,inverse(multiply(inverse(X0),X0)))),multiply(X2,inverse(multiply(inverse(X0),X0)))),
inference(superposition,[],[f2805,f1671]) ).
fof(f1671,plain,
! [X2,X1] : multiply(inverse(X1),X1) = inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))))),
inference(superposition,[],[f273,f143]) ).
fof(f273,plain,
! [X2,X3,X0,X1] : multiply(inverse(X1),X1) = inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(multiply(X1,inverse(X2))))))),X3)),X2)),inverse(multiply(inverse(X3),X3)))))),
inference(superposition,[],[f1,f143]) ).
fof(f2805,plain,
! [X2,X3,X1] : multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(inverse(X2),X2))))))))) = X3,
inference(superposition,[],[f109,f157]) ).
fof(f157,plain,
! [X2,X3,X0,X1] : multiply(X0,inverse(inverse(multiply(X1,inverse(multiply(inverse(X3),inverse(multiply(inverse(X1),X1)))))))) = inverse(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),X3)),inverse(multiply(inverse(X2),X2))))))),
inference(superposition,[],[f109,f109]) ).
fof(f109,plain,
! [X2,X3,X1] : multiply(X1,inverse(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X1,X3)),X2)),inverse(multiply(inverse(X3),X3)))))))) = X2,
inference(superposition,[],[f22,f44]) ).
fof(f3063,plain,
! [X2,X0,X1,X4] : multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(inverse(multiply(X4,X1)),multiply(X4,X2)),
inference(forward_demodulation,[],[f2966,f24]) ).
fof(f2966,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(inverse(multiply(X4,X1)),multiply(X4,inverse(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,X2))),inverse(multiply(inverse(X1),X1))))))))),
inference(superposition,[],[f2805,f288]) ).
fof(f288,plain,
! [X2,X0,X1,X5] : multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,X2))),inverse(multiply(inverse(X0),X0))) = multiply(inverse(multiply(inverse(multiply(X5,X0)),multiply(X5,X2))),inverse(multiply(inverse(X0),X0))),
inference(forward_demodulation,[],[f256,f1]) ).
fof(f256,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,X2))),inverse(multiply(inverse(X0),X0))) = multiply(inverse(multiply(inverse(multiply(X5,X0)),multiply(X5,inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(X2)))),inverse(multiply(inverse(X3),X3))))))))),inverse(multiply(inverse(X0),X0))),
inference(superposition,[],[f143,f4]) ).
fof(f11132,plain,
! [X0,X1] : inverse(multiply(inverse(X1),multiply(inverse(X0),X0))) = X1,
inference(superposition,[],[f4143,f10927]) ).
fof(f10927,plain,
! [X2,X1] : inverse(multiply(inverse(X2),inverse(multiply(inverse(X1),X1)))) = X2,
inference(forward_demodulation,[],[f10775,f109]) ).
fof(f10775,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(X2),inverse(multiply(inverse(X1),X1)))) = multiply(inverse(multiply(X0,X1)),inverse(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X3)),X2)),inverse(multiply(inverse(X3),X3)))))))),
inference(superposition,[],[f8769,f157]) ).
fof(f8769,plain,
! [X2,X0,X1] : inverse(X0) = multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(inverse(multiply(X1,inverse(X0)))))),
inference(superposition,[],[f2805,f8416]) ).
fof(f8416,plain,
! [X2,X3] : multiply(inverse(inverse(X2)),inverse(multiply(inverse(X3),X3))) = X2,
inference(superposition,[],[f8406,f22]) ).
fof(f8406,plain,
! [X2,X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(multiply(X0,X1))),inverse(multiply(inverse(X2),X2))),
inference(forward_demodulation,[],[f8338,f4374]) ).
fof(f4374,plain,
! [X2,X1] : inverse(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(X1),X1))))))) = X1,
inference(forward_demodulation,[],[f4134,f124]) ).
fof(f124,plain,
! [X2,X3,X1] : inverse(multiply(inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,inverse(inverse(multiply(X1,X2)))))),inverse(multiply(inverse(X1),X1)))) = X2,
inference(superposition,[],[f24,f44]) ).
fof(f4134,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(inverse(multiply(X3,X0)),multiply(X3,inverse(inverse(multiply(X0,X1)))))),inverse(multiply(inverse(X0),X0)))) = inverse(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(X1),X1))))))),
inference(superposition,[],[f56,f3799]) ).
fof(f56,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(inverse(X2))))),inverse(multiply(inverse(X0),X0)))) = inverse(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X0,X3)),X2)),inverse(multiply(inverse(X3),X3))))))),
inference(superposition,[],[f24,f22]) ).
fof(f8338,plain,
! [X2,X3,X0,X1] : multiply(X0,inverse(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X3),X3)),inverse(multiply(inverse(X1),X1)))))))) = multiply(inverse(inverse(multiply(X0,X1))),inverse(multiply(inverse(X2),X2))),
inference(superposition,[],[f109,f6894]) ).
fof(f6894,plain,
! [X2,X3,X0] : multiply(inverse(X2),X2) = multiply(X3,multiply(inverse(X3),inverse(multiply(inverse(X0),X0)))),
inference(superposition,[],[f6857,f4752]) ).
fof(f4752,plain,
! [X2,X3,X1] : multiply(inverse(X2),X2) = multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X1),X1)),
inference(superposition,[],[f4213,f3799]) ).
fof(f4213,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X3,X0)),multiply(X3,X2)) = multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X0),X2)),
inference(superposition,[],[f3063,f3799]) ).
fof(f6857,plain,
! [X2,X3,X0] : multiply(X2,multiply(inverse(X3),X3)) = multiply(X0,multiply(inverse(X0),X2)),
inference(forward_demodulation,[],[f6722,f6638]) ).
fof(f6638,plain,
! [X2,X0,X1] : inverse(multiply(inverse(X0),inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(X1),X1)))))) = X0,
inference(superposition,[],[f4143,f3799]) ).
fof(f6722,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(inverse(X0),X2)) = multiply(inverse(multiply(inverse(X2),inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(inverse(X0)),inverse(X0))))))),multiply(inverse(X3),X3)),
inference(superposition,[],[f4214,f4143]) ).
fof(f4143,plain,
! [X2,X1] : inverse(multiply(inverse(X1),inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(inverse(X1)),inverse(X1))))))) = X1,
inference(superposition,[],[f1,f3799]) ).
fof(f12319,plain,
! [X2,X3,X0] : inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,X0))),inverse(multiply(inverse(X3),X3)))) = multiply(inverse(X3),X0),
inference(forward_demodulation,[],[f12167,f7156]) ).
fof(f7156,plain,
! [X2,X3,X0,X1] : multiply(inverse(X0),X1) = inverse(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X0,X3)),multiply(X1,multiply(inverse(X2),X2)))),inverse(multiply(inverse(X3),X3))))))),
inference(superposition,[],[f24,f6857]) ).
fof(f12167,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,X0))),inverse(multiply(inverse(X3),X3)))) = inverse(inverse(multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),multiply(X0,multiply(inverse(X1),X1)))),inverse(multiply(inverse(X4),X4))))))),
inference(superposition,[],[f56,f11135]) ).
fof(f11135,plain,
! [X2,X0] : inverse(inverse(multiply(X2,multiply(inverse(X0),X0)))) = X2,
inference(superposition,[],[f4452,f10927]) ).
fof(f4452,plain,
! [X2,X0,X1] : inverse(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(X1),X1))))))) = X0,
inference(superposition,[],[f4374,f3799]) ).
fof(f13067,plain,
! [X3,X0,X1,X4] : inverse(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X3,X0)),X4)),inverse(inverse(multiply(inverse(X1),X1)))))))) = inverse(multiply(multiply(inverse(inverse(inverse(X4))),X3),inverse(multiply(inverse(X3),X3)))),
inference(forward_demodulation,[],[f12521,f11559]) ).
fof(f12521,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(inverse(X4))))),inverse(multiply(inverse(X3),X3)))) = inverse(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X3,X0)),X4)),inverse(inverse(multiply(inverse(X1),X1)))))))),
inference(superposition,[],[f56,f11558]) ).
fof(f11558,plain,
! [X2,X0] : multiply(inverse(X0),X0) = inverse(multiply(inverse(X2),X2)),
inference(superposition,[],[f11132,f4752]) ).
fof(f12525,plain,
! [X2,X3,X0,X1] : multiply(X2,inverse(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X2,X0)),X3)),inverse(inverse(multiply(inverse(X1),X1))))))))) = X3,
inference(superposition,[],[f109,f11558]) ).
fof(f15142,plain,
! [X2,X0,X1] : multiply(multiply(inverse(X0),X0),multiply(X1,multiply(inverse(X1),inverse(inverse(X2))))) = X2,
inference(forward_demodulation,[],[f14972,f14125]) ).
fof(f14125,plain,
! [X2,X0,X1] : multiply(X1,multiply(X0,inverse(inverse(X2)))) = multiply(inverse(multiply(inverse(X0),inverse(X1))),inverse(inverse(X2))),
inference(forward_demodulation,[],[f14124,f10927]) ).
fof(f14124,plain,
! [X2,X0,X1] : inverse(multiply(inverse(multiply(X1,multiply(X0,inverse(inverse(X2))))),inverse(multiply(inverse(multiply(inverse(X0),inverse(X1))),multiply(inverse(X0),inverse(X1)))))) = multiply(inverse(multiply(inverse(X0),inverse(X1))),inverse(inverse(X2))),
inference(forward_demodulation,[],[f14123,f13236]) ).
fof(f13236,plain,
! [X2,X3,X0] : multiply(inverse(X2),inverse(inverse(X0))) = inverse(inverse(multiply(X3,multiply(inverse(multiply(X2,X3)),X0)))),
inference(forward_demodulation,[],[f13235,f10901]) ).
fof(f10901,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X1,X0)),X2) = inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),X2)),inverse(multiply(inverse(X0),X0)))),
inference(forward_demodulation,[],[f10730,f2978]) ).
fof(f2978,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X1,X0)),X2) = multiply(inverse(multiply(X4,X0)),multiply(X4,inverse(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X1,X3)),X2)),inverse(multiply(inverse(X3),X3))))))))),
inference(superposition,[],[f2805,f171]) ).
fof(f171,plain,
! [X2,X3,X0,X1] : multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X0,X3)),X2)),inverse(multiply(inverse(X3),X3))))) = multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),inverse(multiply(inverse(X1),X1))))),
inference(superposition,[],[f22,f109]) ).
fof(f10730,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),X2)),inverse(multiply(inverse(X0),X0)))) = multiply(inverse(multiply(X4,X0)),multiply(X4,inverse(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X1,X3)),X2)),inverse(multiply(inverse(X3),X3))))))))),
inference(superposition,[],[f8769,f171]) ).
fof(f13235,plain,
! [X2,X3,X0] : inverse(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),X0)),inverse(multiply(inverse(X3),X3))))))) = multiply(inverse(X2),inverse(inverse(X0))),
inference(forward_demodulation,[],[f13234,f12320]) ).
fof(f13234,plain,
! [X2,X3,X0] : inverse(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),X0)),inverse(multiply(inverse(X3),X3))))))) = inverse(multiply(multiply(inverse(inverse(inverse(X0))),X2),inverse(multiply(inverse(X2),X2)))),
inference(forward_demodulation,[],[f12714,f10927]) ).
fof(f12714,plain,
! [X2,X3,X0,X1] : inverse(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),X0)),inverse(multiply(inverse(X3),X3))))))) = inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(inverse(X0))),X2)),inverse(multiply(inverse(X1),X1)))),inverse(multiply(inverse(X2),X2)))),
inference(superposition,[],[f56,f11558]) ).
fof(f14123,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(X1,multiply(X0,inverse(inverse(X2))))),inverse(multiply(inverse(multiply(inverse(X0),inverse(X1))),multiply(inverse(X0),inverse(X1)))))) = inverse(inverse(multiply(X3,multiply(inverse(multiply(multiply(inverse(X0),inverse(X1)),X3)),X2)))),
inference(forward_demodulation,[],[f13871,f10901]) ).
fof(f13871,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(X1,multiply(X0,inverse(inverse(X2))))),inverse(multiply(inverse(multiply(inverse(X0),inverse(X1))),multiply(inverse(X0),inverse(X1)))))) = inverse(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(multiply(inverse(X0),inverse(X1)),X3)),X2)),inverse(multiply(inverse(X3),X3))))))),
inference(superposition,[],[f56,f11571]) ).
fof(f11571,plain,
! [X2,X0] : inverse(multiply(X2,multiply(inverse(X2),inverse(X0)))) = X0,
inference(superposition,[],[f11132,f6857]) ).
fof(f14972,plain,
! [X2,X0,X1] : multiply(multiply(inverse(X0),X0),multiply(inverse(multiply(inverse(inverse(X1)),inverse(X1))),inverse(inverse(X2)))) = X2,
inference(superposition,[],[f13072,f9081]) ).
fof(f9081,plain,
! [X2,X3] : inverse(multiply(inverse(X3),X3)) = inverse(multiply(inverse(inverse(X2)),inverse(X2))),
inference(superposition,[],[f8928,f1]) ).
fof(f8928,plain,
! [X0,X1] : inverse(multiply(inverse(X1),X1)) = inverse(multiply(inverse(inverse(inverse(X0))),inverse(inverse(X0)))),
inference(forward_demodulation,[],[f8927,f8406]) ).
fof(f8927,plain,
! [X0,X1] : inverse(multiply(inverse(X1),X1)) = inverse(multiply(inverse(inverse(multiply(inverse(inverse(inverse(X0))),inverse(inverse(X0))))),inverse(multiply(inverse(inverse(inverse(X0))),inverse(inverse(X0)))))),
inference(forward_demodulation,[],[f8876,f8842]) ).
fof(f8842,plain,
! [X0,X1] : inverse(multiply(inverse(inverse(inverse(X0))),inverse(inverse(X0)))) = multiply(inverse(multiply(X1,inverse(inverse(X0)))),multiply(X1,inverse(inverse(X0)))),
inference(superposition,[],[f2805,f8416]) ).
fof(f8876,plain,
! [X2,X0,X1] : inverse(multiply(inverse(X1),X1)) = inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(inverse(X0)))),multiply(X2,inverse(inverse(X0))))),inverse(multiply(inverse(inverse(inverse(X0))),inverse(inverse(X0)))))),
inference(superposition,[],[f124,f8416]) ).
fof(f5654,plain,
! [X2,X0,X1] : a2 != multiply(multiply(inverse(multiply(X2,multiply(inverse(X1),X1))),multiply(X2,multiply(inverse(X0),X0))),a2),
inference(superposition,[],[f5109,f3063]) ).
fof(f5109,plain,
! [X2,X3,X1] : a2 != multiply(multiply(inverse(multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X1),X1))),multiply(inverse(X3),X3)),a2),
inference(superposition,[],[f4901,f4213]) ).
fof(f4901,plain,
! [X2,X1] : a2 != multiply(multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X1),X1)),a2),
inference(superposition,[],[f4170,f4213]) ).
fof(f4170,plain,
! [X0] : a2 != multiply(multiply(inverse(X0),X0),a2),
inference(superposition,[],[f2,f3799]) ).
fof(f2,axiom,
a2 != multiply(multiply(inverse(b2),b2),a2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP416-1 : TPTP v8.2.0. Released v2.6.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n019.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun May 19 06:11:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (12426)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (12429)WARNING: value z3 for option sas not known
% 0.14/0.36 % (12429)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)
% 0.14/0.37 % (12427)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (12430)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (12428)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (12431)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)
% 0.14/0.37 % (12432)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)
% 0.14/0.37 % (12433)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)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [3]
% 0.14/0.39 TRYING [4]
% 2.06/0.65 TRYING [4]
% 3.21/0.83 % (12433)First to succeed.
% 3.21/0.84 % (12433)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12426"
% 3.21/0.84 % (12433)Refutation found. Thanks to Tanya!
% 3.21/0.84 % SZS status Unsatisfiable for theBenchmark
% 3.21/0.84 % SZS output start Proof for theBenchmark
% See solution above
% 3.21/0.84 % (12433)------------------------------
% 3.21/0.84 % (12433)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 3.21/0.84 % (12433)Termination reason: Refutation
% 3.21/0.84
% 3.21/0.84 % (12433)Memory used [KB]: 9465
% 3.21/0.84 % (12433)Time elapsed: 0.471 s
% 3.21/0.84 % (12433)Instructions burned: 1416 (million)
% 3.21/0.84 % (12426)Success in time 0.485 s
%------------------------------------------------------------------------------