TSTP Solution File: GRP515-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP515-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 : Tue Apr 30 20:20:51 EDT 2024
% Result : Unsatisfiable 0.13s 0.39s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 2
% Syntax : Number of formulae : 33 ( 33 unt; 0 def)
% Number of atoms : 33 ( 32 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 92 ( 92 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : multiply(A,multiply(multiply(B,C),inverse(multiply(A,C)))) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(X1,X2),inverse(multiply(X0,X2)))) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f4,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f5,plain,
! [X0,X1,X2,X3] : X0 = multiply(X1,multiply(X2,inverse(multiply(X1,multiply(multiply(X2,X3),inverse(multiply(X0,X3))))))),
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f6,plain,
! [X0,X1,X2,X3] : X0 = multiply(X1,multiply(multiply(X0,multiply(multiply(X2,X3),inverse(multiply(X1,X3)))),inverse(X2))),
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f7,plain,
! [X0,X1] : X0 = multiply(X0,multiply(X1,inverse(X1))),
inference(paramodulation,[status(thm)],[f3,f5]) ).
fof(f20,plain,
! [X0,X1,X2] : X0 = multiply(X1,multiply(X0,inverse(multiply(X1,multiply(X2,inverse(X2)))))),
inference(paramodulation,[status(thm)],[f7,f3]) ).
fof(f24,plain,
! [X0,X1] : X0 = multiply(X1,multiply(X0,inverse(X1))),
inference(forward_demodulation,[status(thm)],[f7,f20]) ).
fof(f26,plain,
! [X0,X1,X2] : X0 = multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X2,X1)))),
inference(paramodulation,[status(thm)],[f24,f5]) ).
fof(f34,plain,
! [X0,X1,X2] : multiply(X0,X1) = multiply(X0,multiply(multiply(X2,X1),inverse(X2))),
inference(paramodulation,[status(thm)],[f24,f6]) ).
fof(f47,plain,
! [X0,X1,X2,X3,X4,X5] : X0 = multiply(X1,multiply(X2,inverse(multiply(X1,multiply(multiply(X2,multiply(multiply(X3,multiply(multiply(X4,X5),inverse(multiply(X0,X5)))),inverse(X4))),inverse(X3)))))),
inference(paramodulation,[status(thm)],[f6,f5]) ).
fof(f56,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(multiply(X1,multiply(multiply(X2,X3),inverse(multiply(X4,X3)))),inverse(X2))) = multiply(X0,multiply(X1,inverse(X4))),
inference(paramodulation,[status(thm)],[f6,f34]) ).
fof(f57,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(multiply(X1,X2),inverse(multiply(X3,X2)))) = multiply(X0,multiply(X1,inverse(X3))),
inference(paramodulation,[status(thm)],[f3,f34]) ).
fof(f77,plain,
! [X0,X1,X2,X3] : X0 = multiply(X1,multiply(X2,inverse(multiply(X1,multiply(multiply(X2,multiply(X3,inverse(X0))),inverse(X3)))))),
inference(backward_demodulation,[status(thm)],[f56,f47]) ).
fof(f82,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(multiply(X1,multiply(X2,inverse(X3))),inverse(X2))) = multiply(X0,multiply(X1,inverse(X3))),
inference(backward_demodulation,[status(thm)],[f57,f56]) ).
fof(f90,plain,
! [X0,X1,X2] : X0 = multiply(X1,multiply(X2,inverse(multiply(X1,multiply(X2,inverse(X0)))))),
inference(backward_demodulation,[status(thm)],[f82,f77]) ).
fof(f97,plain,
! [X0,X1,X2,X3] : X0 = multiply(multiply(X0,multiply(X1,inverse(multiply(X1,X2)))),multiply(multiply(X3,X2),inverse(X3))),
inference(paramodulation,[status(thm)],[f26,f26]) ).
fof(f103,plain,
! [X0,X1,X2] : X0 = multiply(multiply(X0,multiply(X1,inverse(multiply(X1,X2)))),X2),
inference(forward_demodulation,[status(thm)],[f34,f97]) ).
fof(f115,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,inverse(multiply(X1,inverse(X2))))) = multiply(X2,X0),
inference(paramodulation,[status(thm)],[f103,f24]) ).
fof(f122,plain,
! [X0,X1,X2] : multiply(X0,X1) = multiply(multiply(X2,X1),multiply(X0,inverse(X2))),
inference(paramodulation,[status(thm)],[f26,f90]) ).
fof(f127,plain,
! [X0,X1,X2,X3] : X0 = multiply(X1,multiply(multiply(X2,multiply(X3,inverse(multiply(X3,inverse(X0))))),inverse(multiply(X1,X2)))),
inference(paramodulation,[status(thm)],[f103,f90]) ).
fof(f154,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,multiply(X1,inverse(multiply(X1,inverse(X2))))),X3) = multiply(multiply(X2,X3),X0),
inference(paramodulation,[status(thm)],[f103,f122]) ).
fof(f172,plain,
! [X0,X1,X2] : X0 = multiply(X1,multiply(multiply(X0,inverse(multiply(X1,X2))),X2)),
inference(backward_demodulation,[status(thm)],[f154,f127]) ).
fof(f182,plain,
! [X0,X1] : X0 = multiply(X1,inverse(multiply(X1,inverse(X0)))),
inference(paramodulation,[status(thm)],[f34,f172]) ).
fof(f198,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(backward_demodulation,[status(thm)],[f182,f115]) ).
fof(f207,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[status(thm)],[f198,f4]) ).
fof(f221,plain,
! [X0,X1] : X0 = multiply(X1,multiply(inverse(X1),X0)),
inference(paramodulation,[status(thm)],[f198,f24]) ).
fof(f236,plain,
! [X0] : X0 = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f221,f7]) ).
fof(f246,plain,
! [X0,X1] : X0 = multiply(inverse(X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f236,f221]) ).
fof(f355,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X2,multiply(X0,inverse(inverse(X1)))),
inference(paramodulation,[status(thm)],[f246,f122]) ).
fof(f374,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X2,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f236,f355]) ).
fof(f375,plain,
$false,
inference(resolution,[status(thm)],[f374,f207]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP515-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Apr 30 00:46:04 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.40 % Elapsed time: 0.054723 seconds
% 0.21/0.40 % CPU time: 0.366042 seconds
% 0.21/0.40 % Total memory used: 17.673 MB
% 0.21/0.40 % Net memory used: 17.231 MB
%------------------------------------------------------------------------------