%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP471-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:17:54 AM UTC 2026
% Result : Unsatisfiable 4.36s 1.07s
% Output : Refutation 4.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 59
% Number of leaves : 3
% Syntax : Number of formulae : 96 ( 96 unt; 0 def)
% Number of atoms : 96 ( 95 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 348 ( 348 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : divide(inverse(divide(X0,divide(X1,divide(X2,X3)))),divide(divide(X3,X2),X0)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
fof(f4,plain,
divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,inverse(divide(b3,inverse(c3)))),
inference(definition_unfolding,[],[f3,f2,f2,f2,f2]) ).
fof(f5,plain,
! [X2,X3,X0,X1,X4,X5] : divide(inverse(divide(X1,divide(X2,X0))),divide(divide(divide(divide(X5,X4),X3),inverse(divide(X3,divide(X0,divide(X4,X5))))),X1)) = X2,
inference(superposition,[],[f1,f1]) ).
fof(f6,plain,
! [X2,X3,X0,X1,X4] : inverse(divide(X2,divide(X0,divide(X3,X4)))) = divide(inverse(divide(X1,X0)),divide(divide(X2,divide(X4,X3)),X1)),
inference(superposition,[],[f1,f1]) ).
fof(f7,plain,
! [X2,X3,X0,X1,X4] : divide(X4,X3) = divide(inverse(X0),divide(divide(X2,X1),inverse(divide(divide(X1,X2),divide(X0,divide(X3,X4)))))),
inference(superposition,[],[f1,f1]) ).
fof(f8,plain,
! [X2,X3,X0,X1,X4,X5] : divide(inverse(divide(X1,divide(X2,divide(divide(divide(X3,X4),X5),inverse(divide(X5,divide(X0,divide(X4,X3)))))))),divide(X0,X1)) = X2,
inference(superposition,[],[f1,f1]) ).
fof(f15,plain,
! [X2,X3,X0,X1] : inverse(divide(X1,divide(divide(X0,divide(divide(X2,X3),X1)),divide(X3,X2)))) = X0,
inference(superposition,[],[f6,f1]) ).
fof(f27,plain,
! [X2,X3,X0,X1] : inverse(inverse(divide(X0,divide(X1,divide(inverse(divide(divide(X2,X3),X1)),divide(X3,X2)))))) = X0,
inference(superposition,[],[f15,f6]) ).
fof(f34,plain,
! [X2,X3,X0,X1,X4] : inverse(divide(divide(inverse(divide(divide(X1,X2),divide(X3,X4))),divide(X2,X1)),divide(X0,divide(X4,X3)))) = inverse(inverse(X0)),
inference(superposition,[],[f27,f1]) ).
fof(f46,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : divide(divide(divide(X2,X3),inverse(divide(divide(X3,X2),divide(X4,divide(X1,X0))))),inverse(X4)) = divide(inverse(X5),divide(divide(X6,X7),inverse(divide(divide(X7,X6),divide(X5,divide(X0,X1)))))),
inference(superposition,[],[f7,f7]) ).
fof(f64,plain,
! [X2,X3,X0,X1,X4] : divide(X1,X0) = divide(divide(divide(X2,X3),inverse(divide(divide(X3,X2),divide(X4,divide(X1,X0))))),inverse(X4)),
inference(forward_demodulation,[],[f46,f7]) ).
fof(f73,plain,
! [X0,X6,X4,X5] : divide(divide(divide(X4,X5),inverse(divide(divide(X5,X4),divide(X6,X0)))),inverse(X6)) = X0,
inference(superposition,[],[f64,f1]) ).
fof(f80,plain,
! [X2,X3,X0,X1,X4] : divide(X1,X2) = divide(divide(divide(X3,X4),X0),inverse(divide(X0,divide(divide(X2,X1),divide(X4,X3))))),
inference(superposition,[],[f64,f15]) ).
fof(f145,plain,
! [X2,X3,X0,X1,X4] : divide(inverse(divide(inverse(X1),divide(X2,divide(inverse(divide(divide(X3,X4),divide(X1,X0))),divide(X4,X3))))),X0) = X2,
inference(superposition,[],[f1,f73]) ).
fof(f366,plain,
! [X2,X3,X0,X1,X4] : divide(inverse(inverse(X0)),divide(divide(X3,X4),divide(inverse(divide(divide(X1,X2),divide(X3,X4))),divide(X2,X1)))) = X0,
inference(superposition,[],[f1,f34]) ).
fof(f401,plain,
! [X0,X1,X6,X5] : divide(inverse(inverse(X1)),divide(X0,divide(inverse(divide(divide(X5,X6),X0)),divide(X6,X5)))) = X1,
inference(superposition,[],[f366,f1]) ).
fof(f494,plain,
! [X2,X3,X0,X1] : divide(inverse(X0),divide(divide(divide(X3,X2),inverse(divide(divide(X2,X3),X1))),inverse(inverse(X0)))) = X1,
inference(superposition,[],[f1,f401]) ).
fof(f568,plain,
! [X0,X6,X4,X5] : divide(X0,divide(divide(divide(X4,X5),inverse(divide(divide(X5,X4),X6))),inverse(X0))) = X6,
inference(superposition,[],[f494,f15]) ).
fof(f654,plain,
! [X2,X3,X0,X1,X4] : divide(divide(inverse(divide(divide(X2,X3),X4)),divide(divide(X1,X0),divide(X2,X3))),divide(X0,X1)) = X4,
inference(superposition,[],[f568,f80]) ).
fof(f655,plain,
! [X2,X3,X0,X1] : inverse(divide(inverse(X1),divide(X0,divide(inverse(divide(divide(X3,X2),X0)),divide(X2,X3))))) = X1,
inference(superposition,[],[f15,f568]) ).
fof(f793,plain,
! [X0,X6,X4,X5] : divide(divide(inverse(divide(X0,X4)),divide(divide(X5,X6),X0)),divide(X6,X5)) = X4,
inference(superposition,[],[f654,f1]) ).
fof(f953,plain,
! [X2,X3,X0,X1] : divide(divide(divide(divide(divide(X1,X2),X3),inverse(divide(X3,X0))),inverse(X0)),inverse(X2)) = X1,
inference(superposition,[],[f73,f793]) ).
fof(f1076,plain,
! [X2,X3,X0,X1] : divide(divide(X0,divide(inverse(X1),X2)),X3) = divide(divide(X0,inverse(X2)),inverse(inverse(divide(X3,X1)))),
inference(superposition,[],[f953,f953]) ).
fof(f1186,plain,
! [X2,X3,X0,X1,X4] : divide(inverse(divide(X4,X2)),divide(divide(divide(X0,X1),divide(inverse(X2),divide(divide(X1,X0),X3))),X4)) = X3,
inference(superposition,[],[f568,f1076]) ).
fof(f1255,plain,
! [X2,X3,X0,X1] : inverse(divide(divide(X0,X1),divide(X2,divide(divide(divide(X1,X0),X3),inverse(X2))))) = X3,
inference(forward_demodulation,[],[f1186,f6]) ).
fof(f1319,plain,
! [X2,X3,X0,X1] : divide(X0,divide(divide(inverse(X3),divide(divide(X2,X1),X0)),divide(X1,X2))) = X3,
inference(superposition,[],[f1,f1255]) ).
fof(f1383,plain,
! [X2,X3,X0,X1] : divide(divide(X1,X2),divide(X0,divide(divide(divide(X2,X1),inverse(X3)),inverse(X0)))) = X3,
inference(superposition,[],[f1319,f1319]) ).
fof(f1548,plain,
! [X2,X3,X0,X1,X4] : divide(divide(X1,X0),divide(inverse(divide(X4,X2)),divide(divide(divide(X0,X1),divide(inverse(X2),X3)),X4))) = X3,
inference(superposition,[],[f1383,f1076]) ).
fof(f1635,plain,
! [X2,X3,X0,X1] : divide(divide(X1,X0),inverse(divide(divide(X0,X1),divide(X2,divide(X3,inverse(X2)))))) = X3,
inference(forward_demodulation,[],[f1548,f6]) ).
fof(f1695,plain,
! [X2,X3,X0,X1] : divide(divide(divide(divide(divide(X1,inverse(X2)),X2),X3),inverse(divide(X3,X0))),inverse(X0)) = X1,
inference(superposition,[],[f1635,f793]) ).
fof(f1697,plain,
! [X0,X1,X4] : divide(X4,divide(X0,inverse(X4))) = divide(X1,divide(X0,inverse(X1))),
inference(superposition,[],[f568,f1635]) ).
fof(f1955,plain,
! [X2,X3,X0,X1,X4,X5] : divide(divide(X1,inverse(X2)),X2) = divide(divide(divide(X3,X4),X5),inverse(divide(X5,divide(divide(X0,divide(X1,inverse(X0))),divide(X4,X3))))),
inference(superposition,[],[f80,f1697]) ).
fof(f2008,plain,
! [X2,X0,X1] : divide(divide(X1,inverse(X2)),X2) = divide(divide(X1,inverse(X0)),X0),
inference(forward_demodulation,[],[f1955,f80]) ).
fof(f2155,plain,
! [X2,X3,X0,X1] : inverse(X3) = divide(divide(X1,X0),divide(X3,divide(divide(divide(X0,X1),inverse(X2)),X2))),
inference(superposition,[],[f1383,f2008]) ).
fof(f2421,plain,
! [X2,X3,X0,X1,X6,X4,X5] : divide(inverse(divide(divide(X1,divide(divide(divide(inverse(divide(X2,divide(X3,divide(X4,X5)))),divide(divide(X5,X4),X2)),inverse(X0)),inverse(X1))),divide(X6,X3))),X0) = X6,
inference(superposition,[],[f5,f1383]) ).
fof(f2504,plain,
! [X3,X0,X1,X6] : divide(inverse(divide(divide(X1,divide(divide(X3,inverse(X0)),inverse(X1))),divide(X6,X3))),X0) = X6,
inference(forward_demodulation,[],[f2421,f1]) ).
fof(f2965,plain,
! [X2,X3,X0,X1] : divide(X1,X3) = divide(divide(X1,divide(divide(X0,inverse(X2)),X2)),divide(X3,X0)),
inference(superposition,[],[f1383,f1695]) ).
fof(f3123,plain,
! [X0,X1] : divide(inverse(divide(X1,X0)),inverse(X1)) = X0,
inference(superposition,[],[f2965,f793]) ).
fof(f3125,plain,
! [X0,X1] : inverse(divide(X1,divide(X0,inverse(X1)))) = X0,
inference(superposition,[],[f15,f2965]) ).
fof(f3142,plain,
! [X0,X1] : divide(X1,divide(inverse(X0),inverse(X1))) = X0,
inference(superposition,[],[f1319,f2965]) ).
fof(f3158,plain,
! [X2,X3,X0,X1,X4] : inverse(divide(inverse(X4),divide(X0,inverse(divide(divide(X1,X2),divide(X0,divide(divide(divide(X2,X1),inverse(X3)),X3))))))) = X4,
inference(superposition,[],[f655,f2965]) ).
fof(f3159,plain,
! [X2,X3,X0,X1,X4] : divide(inverse(inverse(X4)),divide(X0,inverse(divide(divide(X1,X2),divide(X0,divide(divide(divide(X2,X1),inverse(X3)),X3)))))) = X4,
inference(superposition,[],[f401,f2965]) ).
fof(f3160,plain,
! [X2,X3,X0,X1,X4] : inverse(inverse(divide(X4,divide(X0,inverse(divide(divide(X1,X2),divide(X0,divide(divide(divide(X2,X1),inverse(X3)),X3)))))))) = X4,
inference(superposition,[],[f27,f2965]) ).
fof(f3252,plain,
! [X0,X4] : inverse(inverse(divide(X4,divide(X0,inverse(inverse(X0)))))) = X4,
inference(forward_demodulation,[],[f3160,f2155]) ).
fof(f3253,plain,
! [X0,X4] : divide(inverse(inverse(X4)),divide(X0,inverse(inverse(X0)))) = X4,
inference(forward_demodulation,[],[f3159,f2155]) ).
fof(f3254,plain,
! [X0,X4] : inverse(divide(inverse(X4),divide(X0,inverse(inverse(X0))))) = X4,
inference(forward_demodulation,[],[f3158,f2155]) ).
fof(f3274,plain,
! [X0,X1] : inverse(X1) = divide(inverse(X0),inverse(inverse(divide(X1,X0)))),
inference(superposition,[],[f3123,f3123]) ).
fof(f3774,plain,
! [X0,X1] : divide(X0,inverse(inverse(X0))) = divide(X1,inverse(inverse(X1))),
inference(superposition,[],[f3123,f3254]) ).
fof(f3866,plain,
! [X0,X1] : inverse(X0) = divide(inverse(divide(X1,inverse(inverse(X1)))),X0),
inference(superposition,[],[f3274,f3252]) ).
fof(f4138,plain,
! [X2,X3,X0,X1,X4] : divide(inverse(inverse(X1)),X1) = divide(divide(divide(X2,X3),X4),inverse(divide(X4,divide(divide(X0,inverse(inverse(X0))),divide(X3,X2))))),
inference(superposition,[],[f80,f3774]) ).
fof(f4200,plain,
! [X0,X1] : divide(inverse(inverse(X1)),X1) = divide(inverse(inverse(X0)),X0),
inference(forward_demodulation,[],[f4138,f80]) ).
fof(f4406,plain,
! [X0,X1] : divide(X0,inverse(inverse(X0))) = divide(inverse(inverse(X1)),X1),
inference(superposition,[],[f4200,f3253]) ).
fof(f4514,plain,
! [X0,X1] : inverse(inverse(X1)) = divide(X1,divide(inverse(inverse(X0)),X0)),
inference(superposition,[],[f3142,f4200]) ).
fof(f4855,plain,
! [X0,X1] : divide(inverse(divide(X0,inverse(inverse(X0)))),inverse(inverse(inverse(X1)))) = X1,
inference(superposition,[],[f3123,f4406]) ).
fof(f4896,plain,
! [X1] : inverse(inverse(inverse(inverse(X1)))) = X1,
inference(forward_demodulation,[],[f4855,f3866]) ).
fof(f5049,plain,
! [X2,X0,X1] : inverse(inverse(X1)) = divide(inverse(inverse(inverse(divide(X0,divide(divide(X1,inverse(X2)),inverse(X0)))))),X2),
inference(superposition,[],[f2504,f4514]) ).
fof(f5164,plain,
! [X2,X1] : inverse(inverse(X1)) = divide(inverse(inverse(divide(X1,inverse(X2)))),X2),
inference(forward_demodulation,[],[f5049,f3125]) ).
fof(f6381,plain,
! [X0,X1] : divide(inverse(inverse(inverse(inverse(X0)))),X1) = inverse(inverse(inverse(inverse(divide(X0,inverse(inverse(X1))))))),
inference(superposition,[],[f5164,f5164]) ).
fof(f6535,plain,
! [X0,X1] : divide(X0,inverse(inverse(X1))) = divide(inverse(inverse(inverse(inverse(X0)))),X1),
inference(forward_demodulation,[],[f6381,f4896]) ).
fof(f6547,plain,
! [X0,X1] : divide(X0,X1) = divide(X0,inverse(inverse(X1))),
inference(forward_demodulation,[],[f6535,f4896]) ).
fof(f6563,plain,
! [X0,X1] : inverse(X0) = divide(inverse(X1),divide(X0,X1)),
inference(superposition,[],[f6547,f3274]) ).
fof(f6716,plain,
! [X2,X3,X0,X1] : inverse(inverse(X2)) = inverse(divide(divide(X1,X0),divide(X3,divide(divide(divide(X0,X1),X2),inverse(X3))))),
inference(superposition,[],[f1255,f6547]) ).
fof(f6727,plain,
! [X2] : inverse(inverse(X2)) = X2,
inference(forward_demodulation,[],[f6716,f1255]) ).
fof(f6829,plain,
! [X0,X1] : inverse(inverse(X0)) = divide(divide(X0,inverse(X1)),X1),
inference(superposition,[],[f5164,f6727]) ).
fof(f6946,plain,
! [X0,X1] : divide(divide(X0,inverse(X1)),X1) = X0,
inference(forward_demodulation,[],[f6829,f6727]) ).
fof(f7643,plain,
! [X0,X1] : divide(X0,X1) = inverse(divide(X1,X0)),
inference(superposition,[],[f6946,f3123]) ).
fof(f9706,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(X1,X2)),divide(X0,X1)) = inverse(divide(X0,divide(divide(X2,inverse(X3)),X3))),
inference(superposition,[],[f6563,f2965]) ).
fof(f9734,plain,
! [X2,X0,X1] : divide(inverse(divide(divide(X1,X2),X0)),divide(X2,X1)) = inverse(inverse(X0)),
inference(superposition,[],[f655,f6563]) ).
fof(f9925,plain,
! [X2,X0,X1] : divide(inverse(divide(divide(X1,X2),X0)),divide(X2,X1)) = X0,
inference(forward_demodulation,[],[f9734,f6727]) ).
fof(f9947,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(X1,X2)),divide(X0,X1)) = divide(divide(divide(X2,inverse(X3)),X3),X0),
inference(forward_demodulation,[],[f9706,f7643]) ).
fof(f10067,plain,
! [X2,X0,X1] : divide(divide(X0,divide(X1,X2)),divide(X2,X1)) = X0,
inference(forward_demodulation,[],[f9925,f7643]) ).
fof(f10076,plain,
! [X2,X0,X1] : divide(X2,X0) = divide(inverse(divide(X1,X2)),divide(X0,X1)),
inference(forward_demodulation,[],[f9947,f6946]) ).
fof(f10157,plain,
! [X2,X0,X1] : divide(X2,X0) = divide(divide(X2,X1),divide(X0,X1)),
inference(forward_demodulation,[],[f10076,f7643]) ).
fof(f10925,plain,
! [X2,X3,X0,X1,X4,X5] : divide(divide(divide(X2,divide(divide(divide(X3,X4),X5),inverse(divide(X5,divide(X0,divide(X4,X3)))))),X1),divide(X0,X1)) = X2,
inference(forward_demodulation,[],[f8,f7643]) ).
fof(f10926,plain,
! [X2,X3,X0,X1,X4,X5] : divide(divide(divide(X2,divide(divide(divide(X3,X4),X5),divide(divide(X0,divide(X4,X3)),X5))),X1),divide(X0,X1)) = X2,
inference(forward_demodulation,[],[f10925,f7643]) ).
fof(f12506,plain,
! [X2,X3,X0,X4,X5] : divide(divide(X2,divide(divide(divide(X3,X4),X5),divide(divide(X0,divide(X4,X3)),X5))),X0) = X2,
inference(forward_demodulation,[],[f10926,f10157]) ).
fof(f12507,plain,
! [X2,X3,X0,X4] : divide(divide(X2,divide(divide(X3,X4),divide(X0,divide(X4,X3)))),X0) = X2,
inference(forward_demodulation,[],[f12506,f10157]) ).
fof(f12850,plain,
! [X2,X3,X0,X1,X4,X5] : divide(inverse(divide(inverse(X1),divide(X2,divide(inverse(X0),divide(divide(divide(X3,X4),divide(divide(X1,X5),divide(X4,X3))),X0))))),X5) = X2,
inference(superposition,[],[f145,f12507]) ).
fof(f12935,plain,
! [X2,X3,X0,X1,X4,X5] : divide(divide(divide(X2,divide(inverse(X0),divide(divide(divide(X3,X4),divide(divide(X1,X5),divide(X4,X3))),X0))),inverse(X1)),X5) = X2,
inference(forward_demodulation,[],[f12850,f7643]) ).
fof(f13231,plain,
! [X2,X3,X1,X4,X5] : divide(divide(divide(X2,inverse(divide(divide(X3,X4),divide(divide(X1,X5),divide(X4,X3))))),inverse(X1)),X5) = X2,
inference(forward_demodulation,[],[f12935,f6563]) ).
fof(f13458,plain,
! [X2,X3,X1,X4,X5] : divide(divide(divide(X2,divide(divide(divide(X1,X5),divide(X4,X3)),divide(X3,X4))),inverse(X1)),X5) = X2,
inference(forward_demodulation,[],[f13231,f7643]) ).
fof(f13607,plain,
! [X2,X1,X5] : divide(divide(divide(X2,divide(X1,X5)),inverse(X1)),X5) = X2,
inference(forward_demodulation,[],[f13458,f10067]) ).
fof(f13806,plain,
! [X2,X3,X0,X1,X4] : inverse(X2) = divide(divide(divide(X0,X1),inverse(divide(X3,X4))),inverse(divide(divide(X4,X3),divide(X2,divide(X1,X0))))),
inference(superposition,[],[f13607,f7]) ).
fof(f14218,plain,
! [X2,X3,X0,X1,X4] : inverse(X2) = divide(divide(divide(X0,X1),inverse(divide(X3,X4))),divide(divide(X2,divide(X1,X0)),divide(X4,X3))),
inference(forward_demodulation,[],[f13806,f7643]) ).
fof(f14400,plain,
! [X2,X3,X0,X1,X4] : inverse(X2) = divide(divide(divide(X0,X1),divide(X4,X3)),divide(divide(X2,divide(X1,X0)),divide(X4,X3))),
inference(forward_demodulation,[],[f14218,f7643]) ).
fof(f14512,plain,
! [X2,X0,X1] : inverse(X2) = divide(divide(X0,X1),divide(X2,divide(X1,X0))),
inference(forward_demodulation,[],[f14400,f10157]) ).
fof(f14699,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(inverse(divide(X1,divide(X0,X2)))) = divide(divide(X1,divide(divide(divide(X3,X4),X5),inverse(divide(X5,divide(X2,divide(X4,X3)))))),X0),
inference(superposition,[],[f14512,f5]) ).
fof(f15051,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(inverse(divide(X1,divide(X0,X2)))) = divide(divide(X1,divide(divide(divide(X3,X4),X5),divide(divide(X2,divide(X4,X3)),X5))),X0),
inference(forward_demodulation,[],[f14699,f7643]) ).
fof(f15297,plain,
! [X2,X3,X0,X1,X4] : inverse(inverse(divide(X1,divide(X0,X2)))) = divide(divide(X1,divide(divide(X3,X4),divide(X2,divide(X4,X3)))),X0),
inference(forward_demodulation,[],[f15051,f10157]) ).
fof(f15469,plain,
! [X2,X0,X1] : inverse(inverse(divide(X1,divide(X0,X2)))) = divide(divide(X1,inverse(X2)),X0),
inference(forward_demodulation,[],[f15297,f14512]) ).
fof(f15582,plain,
! [X2,X0,X1] : divide(X1,divide(X0,X2)) = divide(divide(X1,inverse(X2)),X0),
inference(forward_demodulation,[],[f15469,f6727]) ).
fof(f17584,plain,
divide(a3,inverse(divide(b3,inverse(c3)))) != divide(a3,divide(inverse(c3),b3)),
inference(superposition,[],[f4,f15582]) ).
fof(f17634,plain,
divide(a3,divide(inverse(c3),b3)) != divide(a3,divide(inverse(c3),b3)),
inference(forward_demodulation,[],[f17584,f7643]) ).
fof(f17635,plain,
$false,
inference(trivial_inequality_removal,[],[f17634]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP471-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n019.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 10:05:34 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.36/1.07 % (2856523)Will run a generic schedule for satisfiability detection.
% 4.36/1.07 % (2856532)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3874766258:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.36/1.07 % (2856529)% WARNING: option uhcvi not known.
% 4.36/1.07 % (2856528)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1237414266_2999 on theBenchmark for (2999ds/0Mi)
% 4.36/1.07 % (2856529)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2471969296:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.36/1.07 % (2856530)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1170832448:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.36/1.07 % (2856531)dis+10_1_sil=32000:sp=arity:random_seed=2350825784:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.36/1.07 % (2856534)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3640249951:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.36/1.07 % (2856533)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2275099118:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.36/1.07 % TRYING [1]
% 4.36/1.07 % TRYING [2]
% 4.36/1.07 % TRYING [3]
% 4.36/1.07 % TRYING [4]
% 4.36/1.07 % (2856532)Instruction limit reached!
% 4.36/1.07 % (2856532)------------------------------
% 4.36/1.07 % (2856532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.36/1.07 % (2856532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.36/1.07 % (2856532)CaDiCaL version: 2.1.3
% 4.36/1.07 % (2856532)Termination reason: Instruction limit
% 4.36/1.07 % (2856532)Termination phase: Saturation
% 4.36/1.07 % (2856532)Time elapsed: 0.038 s
% 4.36/1.07 % (2856532)Peak memory usage: 13 MB
% 4.36/1.07 % (2856532)Instructions burned: 118 (million)
% 4.36/1.07 % (2856542)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1280156804:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.36/1.07 % TRYING [1]
% 4.36/1.07 % TRYING [2]
% 4.36/1.07 % TRYING [3]
% 4.36/1.07 % TRYING [4]
% 4.36/1.07 % (2856531)Instruction limit reached!
% 4.36/1.07 % (2856531)------------------------------
% 4.36/1.07 % (2856531)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.36/1.07 % (2856531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.36/1.07 % (2856531)CaDiCaL version: 2.1.3
% 4.36/1.07 % (2856531)Termination reason: Instruction limit
% 4.36/1.07 % (2856531)Termination phase: Saturation
% 4.36/1.07 % (2856531)Time elapsed: 0.057 s
% 4.36/1.07 % (2856531)Peak memory usage: 12 MB
% 4.36/1.07 % (2856531)Instructions burned: 104 (million)
% 4.36/1.07 % (2856544)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4031016029:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 4.36/1.07 % (2856533)Instruction limit reached!
% 4.36/1.07 % (2856533)------------------------------
% 4.36/1.07 % (2856533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.36/1.07 % (2856533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.36/1.07 % (2856533)CaDiCaL version: 2.1.3
% 4.36/1.07 % (2856533)Termination reason: Instruction limit
% 4.36/1.07 % (2856533)Termination phase: Saturation
% 4.36/1.07 % (2856533)Time elapsed: 0.078 s
% 4.36/1.07 % (2856533)Peak memory usage: 13 MB
% 4.36/1.07 % (2856533)Instructions burned: 131 (million)
% 4.36/1.07 % (2856546)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=575873335:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 4.36/1.07 % (2856534)Instruction limit reached!
% 4.36/1.07 % (2856534)------------------------------
% 4.36/1.07 % (2856534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.36/1.07 % (2856534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.36/1.07 % (2856534)CaDiCaL version: 2.1.3
% 4.36/1.07 % (2856534)Termination reason: Instruction limit
% 4.36/1.07 % (2856534)Termination phase: Saturation
% 4.36/1.07 % (2856534)Time elapsed: 0.098 s
% 4.36/1.07 % (2856534)Peak memory usage: 14 MB
% 4.36/1.07 % (2856534)Instructions burned: 159 (million)
% 4.36/1.07 % (2856548)ott-21_1_sil=16000:fs=off:random_seed=945508285:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 4.36/1.07 % (2856544)Instruction limit reached!
% 4.36/1.07 % (2856544)------------------------------
% 4.36/1.07 % (2856544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.36/1.07 % (2856544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.36/1.07 % (2856544)CaDiCaL version: 2.1.3
% 4.36/1.07 % (2856544)Termination reason: Instruction limit
% 4.36/1.07 % (2856544)Termination phase: Saturation
% 4.36/1.07 % (2856544)Time elapsed: 0.080 s
% 4.36/1.07 % (2856544)Peak memory usage: 13 MB
% 4.36/1.07 % (2856544)Instructions burned: 132 (million)
% 4.36/1.07 % (2856550)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=765408591:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 4.36/1.07 % TRYING [5]
% 4.36/1.07 % (2856548)Instruction limit reached!
% 4.36/1.07 % (2856548)------------------------------
% 4.36/1.07 % (2856548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.36/1.07 % (2856548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.36/1.07 % (2856548)CaDiCaL version: 2.1.3
% 4.36/1.07 % (2856548)Termination reason: Instruction limit
% 4.36/1.07 % (2856548)Termination phase: Saturation
% 4.36/1.07 % (2856548)Time elapsed: 0.085 s
% 4.36/1.07 % (2856548)Peak memory usage: 12 MB
% 4.36/1.07 % (2856548)Instructions burned: 182 (million)
% 4.36/1.07 % (2856552)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3313819793:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 4.36/1.07 % TRYING [1]
% 4.36/1.07 % TRYING [2]
% 4.36/1.07 % TRYING [3]
% 4.36/1.07 % TRYING [4]
% 4.36/1.07 % (2856542)Instruction limit reached!
% 4.36/1.07 % (2856542)------------------------------
% 4.36/1.07 % (2856542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.36/1.07 % (2856542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.36/1.07 % (2856542)CaDiCaL version: 2.1.3
% 4.36/1.07 % (2856542)Termination reason: Instruction limit
% 4.36/1.07 % (2856542)Termination phase: Finite model building SAT solving
% 4.36/1.07 % (2856542)Time elapsed: 0.224 s
% 4.36/1.07 % (2856542)Peak memory usage: 14 MB
% 4.36/1.07 % (2856542)Instructions burned: 714 (million)
% 4.36/1.07 % (2856554)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1778769587:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 4.36/1.07 % TRYING [5]
% 4.36/1.07 % TRYING [5]
% 4.36/1.07 % (2856550)Instruction limit reached!
% 4.36/1.07 % (2856550)------------------------------
% 4.36/1.07 % (2856550)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.36/1.07 % (2856550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.36/1.07 % (2856550)CaDiCaL version: 2.1.3
% 4.36/1.07 % (2856550)Termination reason: Instruction limit
% 4.36/1.07 % (2856550)Termination phase: Saturation
% 4.36/1.07 % (2856550)Time elapsed: 0.249 s
% 4.36/1.07 % (2856550)Peak memory usage: 16 MB
% 4.36/1.07 % (2856550)Instructions burned: 477 (million)
% 4.36/1.07 % (2856556)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3639560478:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 4.36/1.07 % (2856546)Instruction limit reached!
% 4.36/1.07 % (2856546)------------------------------
% 4.36/1.07 % (2856546)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.36/1.07 % (2856546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.36/1.07 % (2856546)CaDiCaL version: 2.1.3
% 4.36/1.07 % (2856546)Termination reason: Instruction limit
% 4.36/1.07 % (2856546)Termination phase: Saturation
% 4.36/1.07 % (2856546)Time elapsed: 0.357 s
% 4.36/1.07 % (2856546)Peak memory usage: 19 MB
% 4.36/1.07 % (2856546)Instructions burned: 686 (million)
% 4.36/1.07 % TRYING [14]
% 4.36/1.07 % (2856558)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=918209725:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 4.36/1.07 % (2856530) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2856523-2856530"...
% 4.36/1.07 % (2856530)...printing done.
% 4.36/1.07 % (2856530)Refutation found. Thanks to Tanya!
% 4.36/1.07 % SZS status Unsatisfiable for theBenchmark
% 4.36/1.07 % SZS output start Proof for theBenchmark
% See solution above
% 4.36/1.08 % (2856530)------------------------------
% 4.36/1.08 % (2856530)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.36/1.08 % (2856530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.36/1.08 % (2856530)CaDiCaL version: 2.1.3
% 4.36/1.08 % (2856530)Termination reason: Refutation
% 4.36/1.08 % (2856530)Time elapsed: 0.606 s
% 4.36/1.08 % (2856530)Peak memory usage: 23 MB
% 4.36/1.08 % (2856530)Instructions burned: 1369 (million)
% 4.36/1.08 % (2856523)Success in time 0.648 s
% 4.36/1.08 % Vampire exiting
%------------------------------------------------------------------------------