TSTP Solution File: GRP050-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP050-1 : 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 : n018.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 8.46s 1.62s
% Output : Refutation 8.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 2
% Syntax : Number of formulae : 76 ( 75 unt; 0 def)
% Number of atoms : 78 ( 77 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 14 ( 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 : 273 ( 273 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f55291,plain,
$false,
inference(trivial_inequality_removal,[],[f55122]) ).
fof(f55122,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(superposition,[],[f11671,f12671]) ).
fof(f12671,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(forward_demodulation,[],[f12344,f11973]) ).
fof(f11973,plain,
! [X2,X3,X1] : multiply(X1,X3) = inverse(multiply(inverse(X3),multiply(inverse(X1),multiply(inverse(X2),X2)))),
inference(forward_demodulation,[],[f11972,f11190]) ).
fof(f11190,plain,
! [X3,X0,X4,X5] : multiply(inverse(X3),multiply(X4,X5)) = multiply(inverse(multiply(inverse(multiply(X4,X0)),X3)),multiply(inverse(X0),X5)),
inference(forward_demodulation,[],[f11189,f10219]) ).
fof(f10219,plain,
! [X2,X3,X1] : multiply(inverse(X2),X1) = multiply(inverse(multiply(X3,X2)),multiply(X3,X1)),
inference(superposition,[],[f141,f9822]) ).
fof(f9822,plain,
! [X2,X0,X1] : inverse(multiply(inverse(multiply(X2,X0)),multiply(X2,multiply(inverse(X1),X1)))) = X0,
inference(superposition,[],[f9590,f8613]) ).
fof(f8613,plain,
! [X2,X3] : multiply(inverse(X2),X2) = multiply(inverse(X3),X3),
inference(superposition,[],[f8326,f8106]) ).
fof(f8106,plain,
! [X2,X0,X1] : multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(X2)))),multiply(inverse(X1),multiply(inverse(X1),X1))) = X2,
inference(superposition,[],[f147,f93]) ).
fof(f93,plain,
! [X2,X0,X1] : multiply(inverse(X1),multiply(inverse(X1),X1)) = multiply(inverse(multiply(X0,X1)),inverse(multiply(X2,multiply(inverse(multiply(X0,X2)),multiply(inverse(multiply(X0,X2)),multiply(X0,X2)))))),
inference(superposition,[],[f1,f53]) ).
fof(f53,plain,
! [X3,X4,X5] : inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),multiply(X3,X5))),multiply(inverse(X4),multiply(inverse(X4),X4)))) = X5,
inference(superposition,[],[f20,f20]) ).
fof(f20,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X3)),multiply(inverse(multiply(X0,X1)),X2))),multiply(inverse(X3),multiply(inverse(X3),X3)))) = X2,
inference(superposition,[],[f4,f1]) ).
fof(f4,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),X3)),multiply(inverse(X2),multiply(inverse(X2),X2)))) = multiply(X0,inverse(multiply(inverse(X3),multiply(inverse(X1),multiply(inverse(X1),X1))))),
inference(superposition,[],[f1,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),multiply(inverse(X1),multiply(inverse(X1),X1))))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f147,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X3,multiply(X0,X1))),multiply(X3,inverse(multiply(inverse(X4),multiply(inverse(multiply(X0,X1)),multiply(inverse(multiply(X2,X1)),multiply(X2,X1))))))) = X4,
inference(superposition,[],[f22,f95]) ).
fof(f95,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(inverse(multiply(X3,X1)),multiply(X3,X2)),
inference(superposition,[],[f22,f53]) ).
fof(f22,plain,
! [X3,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(inverse(X3),multiply(inverse(X1),multiply(inverse(X1),X1)))))) = X3,
inference(superposition,[],[f1,f4]) ).
fof(f8326,plain,
! [X2,X3,X1,X4] : multiply(inverse(X2),X2) = multiply(X3,multiply(inverse(multiply(inverse(multiply(X4,X1)),multiply(X4,X3))),multiply(inverse(X1),multiply(inverse(X1),X1)))),
inference(superposition,[],[f1662,f8106]) ).
fof(f1662,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X2,multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))),X5)) = multiply(X3,multiply(inverse(multiply(inverse(multiply(X4,X1)),multiply(X4,X3))),X5)),
inference(superposition,[],[f115,f53]) ).
fof(f115,plain,
! [X2,X3,X0,X1,X4] : multiply(X2,multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))),X3)) = multiply(inverse(multiply(X4,multiply(inverse(X1),multiply(inverse(X1),X1)))),multiply(X4,X3)),
inference(superposition,[],[f95,f53]) ).
fof(f9590,plain,
! [X0,X1] : inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,multiply(inverse(X0),X0)))) = X0,
inference(superposition,[],[f9023,f95]) ).
fof(f9023,plain,
! [X2,X5] : inverse(multiply(inverse(multiply(inverse(X5),X5)),multiply(inverse(X2),multiply(inverse(X2),X2)))) = X2,
inference(forward_demodulation,[],[f9022,f1]) ).
fof(f9022,plain,
! [X2,X0,X1,X5] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),multiply(inverse(X1),multiply(inverse(X1),X1))))) = inverse(multiply(inverse(multiply(inverse(X5),X5)),multiply(inverse(X2),multiply(inverse(X2),X2)))),
inference(forward_demodulation,[],[f8971,f53]) ).
fof(f8971,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(multiply(inverse(multiply(X0,X1)),X2))))),multiply(inverse(X4),multiply(inverse(X4),X4)))),multiply(inverse(X1),multiply(inverse(X1),X1))))) = inverse(multiply(inverse(multiply(inverse(X5),X5)),multiply(inverse(X2),multiply(inverse(X2),X2)))),
inference(superposition,[],[f4,f8326]) ).
fof(f141,plain,
! [X2,X3,X0,X1] : multiply(inverse(X0),X1) = multiply(inverse(multiply(X3,X0)),multiply(X3,inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,multiply(inverse(X0),X0)))))),
inference(superposition,[],[f22,f95]) ).
fof(f11189,plain,
! [X2,X3,X0,X4,X5] : multiply(inverse(multiply(X2,X3)),multiply(X2,multiply(X4,X5))) = multiply(inverse(multiply(inverse(multiply(X4,X0)),X3)),multiply(inverse(X0),X5)),
inference(forward_demodulation,[],[f10770,f11163]) ).
fof(f11163,plain,
! [X0,X1,X4] : multiply(inverse(X0),X4) = multiply(inverse(inverse(multiply(inverse(X1),X1))),multiply(inverse(X0),X4)),
inference(forward_demodulation,[],[f10752,f10219]) ).
fof(f10752,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(inverse(multiply(X2,X3)),X0)),multiply(inverse(multiply(X2,X3)),X4)) = multiply(inverse(inverse(multiply(inverse(X1),X1))),multiply(inverse(X0),X4)),
inference(superposition,[],[f65,f10205]) ).
fof(f10205,plain,
! [X2,X1] : multiply(inverse(X1),X1) = inverse(multiply(inverse(X2),X2)),
inference(superposition,[],[f9822,f8613]) ).
fof(f65,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),multiply(inverse(multiply(X0,X1)),X3)) = multiply(inverse(multiply(X4,X2)),multiply(X4,X3)),
inference(superposition,[],[f22,f20]) ).
fof(f10770,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(X2,X3)),multiply(X2,multiply(X4,X5))) = multiply(inverse(multiply(inverse(multiply(X4,X0)),X3)),multiply(inverse(inverse(multiply(inverse(X1),X1))),multiply(inverse(X0),X5))),
inference(superposition,[],[f119,f10205]) ).
fof(f119,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(X5,X4)),multiply(X5,multiply(X0,X2))) = multiply(inverse(multiply(inverse(multiply(X0,X1)),X4)),multiply(inverse(multiply(X3,X1)),multiply(X3,X2))),
inference(superposition,[],[f95,f95]) ).
fof(f11972,plain,
! [X2,X3,X1] : multiply(X1,X3) = inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),X2)),X3)),multiply(inverse(X2),multiply(inverse(X2),X2)))),
inference(forward_demodulation,[],[f11971,f11290]) ).
fof(f11290,plain,
! [X3,X0] : multiply(multiply(inverse(X0),X0),X3) = X3,
inference(forward_demodulation,[],[f11289,f9822]) ).
fof(f11289,plain,
! [X2,X3,X0] : inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,multiply(inverse(X0),X0)))) = multiply(multiply(inverse(X0),X0),X3),
inference(forward_demodulation,[],[f11288,f11267]) ).
fof(f11267,plain,
! [X2,X0] : inverse(multiply(inverse(X0),X2)) = multiply(inverse(X2),X0),
inference(forward_demodulation,[],[f11266,f11163]) ).
fof(f11266,plain,
! [X2,X0,X1] : multiply(inverse(X2),X0) = inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),multiply(inverse(X0),X2))),
inference(forward_demodulation,[],[f11265,f10219]) ).
fof(f11265,plain,
! [X2,X3,X0,X1] : multiply(inverse(X2),X0) = inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(X1),X1)))),multiply(X3,multiply(inverse(X0),X2)))),
inference(forward_demodulation,[],[f10818,f11190]) ).
fof(f10818,plain,
! [X2,X3,X0,X1] : multiply(inverse(X2),X0) = inverse(multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(multiply(inverse(X1),X1))))),multiply(inverse(X2),multiply(inverse(X0),X2)))),
inference(superposition,[],[f5437,f10205]) ).
fof(f5437,plain,
! [X2,X3,X0,X4] : multiply(inverse(X2),X3) = inverse(multiply(inverse(multiply(inverse(multiply(X4,X2)),multiply(X4,multiply(X0,X3)))),multiply(inverse(X2),multiply(X0,X2)))),
inference(superposition,[],[f5267,f119]) ).
fof(f5267,plain,
! [X2,X0,X1,X4] : inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),multiply(inverse(multiply(inverse(X2),X1)),X4))),multiply(inverse(X2),multiply(X0,X2)))) = X4,
inference(forward_demodulation,[],[f5266,f110]) ).
fof(f110,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X2),multiply(inverse(multiply(X0,X1)),X3)) = multiply(inverse(multiply(X4,multiply(X0,inverse(multiply(inverse(X2),multiply(inverse(X1),multiply(inverse(X1),X1))))))),multiply(X4,X3)),
inference(superposition,[],[f95,f22]) ).
fof(f5266,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(multiply(inverse(multiply(X3,multiply(inverse(X2),inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),multiply(inverse(X1),multiply(inverse(X1),X1))))))),multiply(X3,X4))),multiply(inverse(X2),multiply(X0,X2)))) = X4,
inference(forward_demodulation,[],[f5113,f108]) ).
fof(f108,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X2),multiply(X0,X3)) = multiply(inverse(multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),multiply(inverse(X1),multiply(inverse(X1),X1)))))),multiply(X4,X3)),
inference(superposition,[],[f95,f1]) ).
fof(f5113,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(inverse(multiply(inverse(multiply(X3,multiply(inverse(X2),inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),multiply(inverse(X1),multiply(inverse(X1),X1))))))),multiply(X3,X4))),multiply(inverse(multiply(X5,inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),multiply(inverse(X1),multiply(inverse(X1),X1)))))),multiply(X5,X2)))) = X4,
inference(superposition,[],[f837,f1]) ).
fof(f837,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(multiply(inverse(multiply(X3,multiply(inverse(multiply(X0,X1)),X1))),multiply(X3,X4))),multiply(inverse(multiply(X2,X1)),multiply(X2,multiply(X0,X1))))) = X4,
inference(superposition,[],[f53,f119]) ).
fof(f11288,plain,
! [X2,X3,X0] : inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,multiply(inverse(X0),X0)))) = multiply(inverse(multiply(inverse(X0),X0)),X3),
inference(forward_demodulation,[],[f10841,f11064]) ).
fof(f11064,plain,
! [X1,X4] : inverse(multiply(inverse(X4),inverse(multiply(inverse(X1),X1)))) = X4,
inference(forward_demodulation,[],[f11063,f10219]) ).
fof(f11063,plain,
! [X0,X1,X4] : inverse(multiply(inverse(multiply(inverse(X0),X4)),multiply(inverse(X0),inverse(multiply(inverse(X1),X1))))) = X4,
inference(forward_demodulation,[],[f10646,f10219]) ).
fof(f10646,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),X0)),multiply(inverse(multiply(X2,X3)),X4))),multiply(inverse(X0),inverse(multiply(inverse(X1),X1))))) = X4,
inference(superposition,[],[f20,f10205]) ).
fof(f10841,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,multiply(inverse(X0),X0)))) = inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),X0)),X3)),inverse(multiply(inverse(X1),X1)))),
inference(superposition,[],[f1241,f10205]) ).
fof(f1241,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,multiply(inverse(X0),X0)))) = inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,multiply(inverse(X0),X0)))),
inference(superposition,[],[f408,f95]) ).
fof(f408,plain,
! [X2,X3,X4] : inverse(multiply(inverse(multiply(X3,X4)),multiply(X3,multiply(inverse(X2),X2)))) = inverse(multiply(inverse(multiply(inverse(X2),X4)),multiply(inverse(X2),multiply(inverse(X2),X2)))),
inference(superposition,[],[f20,f141]) ).
fof(f11971,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),X2)),X3)),multiply(inverse(X2),multiply(inverse(X2),X2)))) = multiply(multiply(inverse(X0),X0),multiply(X1,X3)),
inference(forward_demodulation,[],[f11970,f11135]) ).
fof(f11135,plain,
! [X3,X1,X4] : multiply(X1,X3) = multiply(X4,multiply(inverse(multiply(inverse(X1),X4)),X3)),
inference(forward_demodulation,[],[f11134,f10219]) ).
fof(f11134,plain,
! [X3,X1,X4,X5] : multiply(X1,X3) = multiply(X4,multiply(inverse(multiply(inverse(multiply(X5,X1)),multiply(X5,X4))),X3)),
inference(forward_demodulation,[],[f10720,f11132]) ).
fof(f11132,plain,
! [X2,X3,X1] : multiply(X1,X3) = multiply(X1,multiply(inverse(inverse(multiply(inverse(X2),X2))),X3)),
inference(forward_demodulation,[],[f10718,f10541]) ).
fof(f10541,plain,
! [X2,X3,X1,X4] : multiply(X1,X3) = multiply(inverse(multiply(X4,multiply(inverse(X1),multiply(inverse(X2),X2)))),multiply(X4,X3)),
inference(forward_demodulation,[],[f10540,f10219]) ).
fof(f10540,plain,
! [X2,X3,X0,X1,X4] : multiply(X1,X3) = multiply(inverse(multiply(X4,multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(inverse(X2),X2))))),multiply(X4,X3)),
inference(forward_demodulation,[],[f10326,f10138]) ).
fof(f10138,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(multiply(X3,X4)),multiply(X3,multiply(X1,multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(inverse(X2),X2))))))) = X4,
inference(superposition,[],[f9822,f9822]) ).
fof(f10326,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X1,X3) = multiply(inverse(multiply(X4,multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(inverse(X2),X2))))),multiply(X4,inverse(multiply(inverse(multiply(X5,X3)),multiply(X5,multiply(X1,multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(inverse(X2),X2))))))))),
inference(superposition,[],[f141,f9822]) ).
fof(f10718,plain,
! [X2,X3,X1,X4] : multiply(inverse(multiply(X4,multiply(inverse(X1),multiply(inverse(X1),X1)))),multiply(X4,X3)) = multiply(X1,multiply(inverse(inverse(multiply(inverse(X2),X2))),X3)),
inference(superposition,[],[f115,f10205]) ).
fof(f10720,plain,
! [X2,X3,X1,X4,X5] : multiply(X4,multiply(inverse(multiply(inverse(multiply(X5,X1)),multiply(X5,X4))),X3)) = multiply(X1,multiply(inverse(inverse(multiply(inverse(X2),X2))),X3)),
inference(superposition,[],[f1662,f10205]) ).
fof(f11970,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),X2)),X3)),multiply(inverse(X2),multiply(inverse(X2),X2)))) = multiply(multiply(inverse(X0),X0),multiply(X1,multiply(inverse(multiply(inverse(X1),X1)),X3))),
inference(forward_demodulation,[],[f11969,f10036]) ).
fof(f10036,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,multiply(inverse(X1),X1))),X2) = multiply(X1,multiply(inverse(multiply(X0,X1)),X2)),
inference(forward_demodulation,[],[f9957,f9822]) ).
fof(f9957,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X0,multiply(inverse(X1),X1))),X2) = multiply(X1,multiply(inverse(multiply(X0,X1)),inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,multiply(inverse(multiply(X0,multiply(inverse(X1),X1))),multiply(X0,multiply(inverse(X1),X1)))))))),
inference(superposition,[],[f141,f9590]) ).
fof(f11969,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),X2)),X3)),multiply(inverse(X2),multiply(inverse(X2),X2)))) = multiply(multiply(inverse(X0),X0),multiply(inverse(multiply(inverse(X1),multiply(inverse(X1),X1))),X3)),
inference(forward_demodulation,[],[f11735,f11267]) ).
fof(f11735,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),X2)),X3)),multiply(inverse(X2),multiply(inverse(X2),X2)))) = multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(X3),multiply(inverse(X1),multiply(inverse(X1),X1))))),
inference(superposition,[],[f4,f11290]) ).
fof(f12344,plain,
! [X2,X0,X1] : multiply(X0,inverse(multiply(inverse(X2),multiply(inverse(X1),multiply(inverse(X1),X1))))) = multiply(multiply(X0,X1),X2),
inference(superposition,[],[f1,f11408]) ).
fof(f11408,plain,
! [X2,X0] : multiply(inverse(X0),multiply(X0,X2)) = X2,
inference(forward_demodulation,[],[f11407,f11290]) ).
fof(f11407,plain,
! [X2,X0,X1] : multiply(inverse(X0),multiply(X0,multiply(multiply(inverse(X1),X1),X2))) = X2,
inference(forward_demodulation,[],[f11406,f11135]) ).
fof(f11406,plain,
! [X2,X0,X1] : multiply(inverse(X0),multiply(X0,multiply(inverse(multiply(inverse(X0),X0)),multiply(multiply(inverse(X1),X1),X2)))) = X2,
inference(forward_demodulation,[],[f11405,f10036]) ).
fof(f11405,plain,
! [X2,X0,X1] : multiply(inverse(X0),multiply(inverse(multiply(inverse(X0),multiply(inverse(X0),X0))),multiply(multiply(inverse(X1),X1),X2))) = X2,
inference(forward_demodulation,[],[f10910,f11267]) ).
fof(f10910,plain,
! [X2,X0,X1] : multiply(inverse(X0),inverse(multiply(inverse(multiply(multiply(inverse(X1),X1),X2)),multiply(inverse(X0),multiply(inverse(X0),X0))))) = X2,
inference(superposition,[],[f1,f10205]) ).
fof(f11671,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(unit_resulting_resolution,[],[f8613,f11290,f2]) ).
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
% 0.04/0.13 % Problem : GRP050-1 : TPTP v8.1.2. Released v1.0.0.
% 0.14/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n018.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 20:47:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.21/0.36 % (31324)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.38 % (31327)WARNING: value z3 for option sas not known
% 0.21/0.38 % (31328)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.38 % (31326)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.38 % (31325)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.38 % (31330)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)
% 0.21/0.38 % (31329)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)
% 0.21/0.38 % (31327)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)
% 0.21/0.38 % (31331)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)
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 TRYING [3]
% 0.21/0.39 TRYING [3]
% 0.21/0.40 TRYING [4]
% 4.13/0.93 TRYING [5]
% 4.13/0.95 TRYING [4]
% 7.91/1.48 TRYING [1]
% 7.91/1.48 TRYING [2]
% 7.91/1.49 TRYING [3]
% 7.91/1.50 TRYING [4]
% 8.46/1.61 % (31331)First to succeed.
% 8.46/1.62 % (31331)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-31324"
% 8.46/1.62 % (31331)Refutation found. Thanks to Tanya!
% 8.46/1.62 % SZS status Unsatisfiable for theBenchmark
% 8.46/1.62 % SZS output start Proof for theBenchmark
% See solution above
% 8.46/1.62 % (31331)------------------------------
% 8.46/1.62 % (31331)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 8.46/1.62 % (31331)Termination reason: Refutation
% 8.46/1.62
% 8.46/1.62 % (31331)Memory used [KB]: 24805
% 8.46/1.62 % (31331)Time elapsed: 1.239 s
% 8.46/1.62 % (31331)Instructions burned: 3991 (million)
% 8.46/1.62 % (31324)Success in time 1.237 s
%------------------------------------------------------------------------------