TSTP Solution File: GRP699-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP699-1 : TPTP v8.1.2. Released v4.0.0.
% 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 : Wed May 31 12:12:34 EDT 2023
% Result : Unsatisfiable 11.49s 1.91s
% Output : CNFRefutation 12.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 6
% Syntax : Number of formulae : 29 ( 29 unt; 0 def)
% Number of atoms : 29 ( 28 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 54 (; 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : mult(A,ld(A,B)) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : ld(A,mult(A,B)) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A] : mult(A,unit) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A] : mult(unit,A) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A,B,C] : mult(mult(A,B),mult(B,mult(C,B))) = mult(mult(A,mult(B,mult(B,C))),B),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
mult(mult(a,b),c) != mult(mult(a,c),ld(c,mult(b,c))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f11,plain,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f14,plain,
! [X0] : mult(X0,unit) = X0,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f15,plain,
! [X0] : mult(unit,X0) = X0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f17,plain,
! [X0,X1,X2] : mult(mult(X0,X1),mult(X1,mult(X2,X1))) = mult(mult(X0,mult(X1,mult(X1,X2))),X1),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f18,plain,
mult(mult(a,b),c) != mult(mult(a,c),ld(c,mult(b,c))),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f21,plain,
! [X0,X1,X2] : mult(mult(X0,X1),mult(X1,mult(ld(X1,X2),X1))) = mult(mult(X0,mult(X1,X2)),X1),
inference(paramodulation,[status(thm)],[f10,f17]) ).
fof(f67,plain,
! [X0,X1,X2] : ld(mult(X0,X1),mult(mult(X0,mult(X1,X2)),X1)) = mult(X1,mult(ld(X1,X2),X1)),
inference(paramodulation,[status(thm)],[f21,f11]) ).
fof(f81,plain,
! [X0,X1,X2] : ld(mult(X0,X1),mult(mult(X0,X2),X1)) = mult(X1,mult(ld(X1,ld(X1,X2)),X1)),
inference(paramodulation,[status(thm)],[f10,f67]) ).
fof(f134,plain,
! [X0,X1,X2] : ld(X0,ld(mult(X1,X0),mult(mult(X1,X2),X0))) = mult(ld(X0,ld(X0,X2)),X0),
inference(paramodulation,[status(thm)],[f81,f11]) ).
fof(f240,plain,
! [X0,X1,X2] : ld(X0,ld(mult(X1,X0),mult(X2,X0))) = mult(ld(X0,ld(X0,ld(X1,X2))),X0),
inference(paramodulation,[status(thm)],[f10,f134]) ).
fof(f787,plain,
! [X0,X1] : ld(mult(X0,unit),mult(mult(X0,X1),unit)) = mult(unit,ld(unit,ld(unit,X1))),
inference(paramodulation,[status(thm)],[f14,f81]) ).
fof(f788,plain,
! [X0,X1] : ld(X0,mult(mult(X0,X1),unit)) = mult(unit,ld(unit,ld(unit,X1))),
inference(forward_demodulation,[status(thm)],[f14,f787]) ).
fof(f789,plain,
! [X0,X1] : ld(X0,mult(X0,X1)) = mult(unit,ld(unit,ld(unit,X1))),
inference(forward_demodulation,[status(thm)],[f14,f788]) ).
fof(f790,plain,
! [X0] : X0 = mult(unit,ld(unit,ld(unit,X0))),
inference(forward_demodulation,[status(thm)],[f11,f789]) ).
fof(f791,plain,
! [X0] : X0 = ld(unit,X0),
inference(forward_demodulation,[status(thm)],[f10,f790]) ).
fof(f1280,plain,
! [X0,X1] : ld(X0,ld(mult(unit,X0),mult(X1,X0))) = mult(ld(X0,ld(X0,X1)),X0),
inference(paramodulation,[status(thm)],[f791,f240]) ).
fof(f1281,plain,
! [X0,X1] : ld(X0,ld(X0,mult(X1,X0))) = mult(ld(X0,ld(X0,X1)),X0),
inference(forward_demodulation,[status(thm)],[f15,f1280]) ).
fof(f3802,plain,
! [X0,X1,X2] : mult(mult(X0,X1),mult(X1,ld(X1,ld(X1,mult(X2,X1))))) = mult(mult(X0,mult(X1,ld(X1,X2))),X1),
inference(paramodulation,[status(thm)],[f1281,f21]) ).
fof(f3803,plain,
! [X0,X1,X2] : mult(mult(X0,X1),ld(X1,mult(X2,X1))) = mult(mult(X0,mult(X1,ld(X1,X2))),X1),
inference(forward_demodulation,[status(thm)],[f10,f3802]) ).
fof(f3804,plain,
! [X0,X1,X2] : mult(mult(X0,X1),ld(X1,mult(X2,X1))) = mult(mult(X0,X2),X1),
inference(forward_demodulation,[status(thm)],[f10,f3803]) ).
fof(f3971,plain,
mult(mult(a,b),c) != mult(mult(a,b),c),
inference(backward_demodulation,[status(thm)],[f3804,f18]) ).
fof(f3972,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f3971]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : GRP699-1 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n026.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue May 30 11:49:13 EDT 2023
% 0.09/0.31 % CPUTime :
% 0.16/0.31 % Drodi V3.5.1
% 11.49/1.91 % Refutation found
% 11.49/1.91 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 11.49/1.91 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 12.20/1.99 % Elapsed time: 1.661642 seconds
% 12.20/1.99 % CPU time: 12.555453 seconds
% 12.20/1.99 % Memory used: 230.499 MB
%------------------------------------------------------------------------------