TSTP Solution File: GRP756-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP756-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 12:12:39 EDT 2023
% Result : Unsatisfiable 0.15s 0.52s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 5
% Syntax : Number of formulae : 42 ( 42 unt; 0 def)
% Number of atoms : 42 ( 41 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 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 : 102 (; 102 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : mult(A,ld(A,B)) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : ld(A,mult(A,B)) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : mult(rd(A,B),B) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B,C] : mult(A,mult(mult(B,B),C)) = mult(mult(A,B),mult(B,C)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
mult(mult(a,b),c) != mult(a,mult(b,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f8,plain,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f9,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f11,plain,
! [X0,X1,X2] : mult(X0,mult(mult(X1,X1),X2)) = mult(mult(X0,X1),mult(X1,X2)),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f12,plain,
mult(mult(a,b),c) != mult(a,mult(b,c)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f13,plain,
! [X0,X1] : ld(rd(X0,X1),X0) = X1,
inference(paramodulation,[status(thm)],[f9,f8]) ).
fof(f25,plain,
! [X0,X1,X2] : ld(mult(X0,X1),mult(X0,mult(mult(X1,X1),X2))) = mult(X1,X2),
inference(paramodulation,[status(thm)],[f11,f8]) ).
fof(f69,plain,
! [X0,X1,X2] : ld(mult(X0,X1),mult(X0,X2)) = mult(X1,ld(mult(X1,X1),X2)),
inference(paramodulation,[status(thm)],[f7,f25]) ).
fof(f132,plain,
! [X0,X1,X2,X3] : ld(mult(X0,X1),mult(X0,X2)) = ld(mult(X3,X1),mult(X3,X2)),
inference(paramodulation,[status(thm)],[f69,f69]) ).
fof(f140,plain,
! [X0,X1,X2] : mult(mult(X0,X1),mult(X1,ld(mult(X1,X1),X2))) = mult(X0,X2),
inference(paramodulation,[status(thm)],[f69,f7]) ).
fof(f241,plain,
! [X0,X1,X2,X3] : ld(mult(X0,X1),mult(X0,mult(X1,X2))) = mult(X1,ld(mult(X3,X1),mult(X3,X2))),
inference(paramodulation,[status(thm)],[f132,f69]) ).
fof(f264,plain,
! [X0,X1,X2] : mult(X0,mult(X1,ld(mult(X1,X1),X2))) = mult(rd(X0,X1),X2),
inference(paramodulation,[status(thm)],[f9,f140]) ).
fof(f275,plain,
! [X0,X1,X2,X3] : mult(mult(X0,X1),mult(X1,ld(mult(X2,X1),mult(X2,X3)))) = mult(X0,mult(X1,X3)),
inference(paramodulation,[status(thm)],[f132,f140]) ).
fof(f287,plain,
! [X0,X1,X2] : ld(mult(X0,X1),mult(X0,mult(X1,X2))) = mult(X1,mult(X1,ld(mult(X1,X1),X2))),
inference(paramodulation,[status(thm)],[f140,f25]) ).
fof(f288,plain,
! [X0,X1,X2] : ld(mult(X0,X1),mult(X0,mult(X1,X2))) = mult(rd(X1,X1),X2),
inference(forward_demodulation,[status(thm)],[f264,f287]) ).
fof(f330,plain,
! [X0,X1,X2] : mult(rd(X0,X0),X1) = mult(X0,ld(mult(X2,X0),mult(X2,X1))),
inference(backward_demodulation,[status(thm)],[f288,f241]) ).
fof(f334,plain,
! [X0,X1,X2] : mult(mult(X0,X1),mult(rd(X1,X1),X2)) = mult(X0,mult(X1,X2)),
inference(backward_demodulation,[status(thm)],[f330,f275]) ).
fof(f362,plain,
! [X0,X1,X2] : ld(mult(X0,X1),mult(X0,X2)) = mult(rd(X1,X1),ld(X1,X2)),
inference(paramodulation,[status(thm)],[f7,f288]) ).
fof(f366,plain,
! [X0,X1,X2] : ld(mult(X0,X1),mult(X0,mult(X1,mult(X1,X2)))) = mult(X1,mult(rd(X1,X1),X2)),
inference(paramodulation,[status(thm)],[f288,f69]) ).
fof(f367,plain,
! [X0,X1] : mult(rd(X0,X0),mult(X0,X1)) = mult(X0,mult(rd(X0,X0),X1)),
inference(forward_demodulation,[status(thm)],[f288,f366]) ).
fof(f492,plain,
! [X0,X1,X2] : ld(mult(X0,X1),X2) = mult(rd(X1,X1),ld(X1,ld(X0,X2))),
inference(paramodulation,[status(thm)],[f7,f362]) ).
fof(f553,plain,
! [X0,X1] : mult(rd(X0,X0),X1) = mult(X0,mult(rd(X0,X0),ld(X0,X1))),
inference(paramodulation,[status(thm)],[f7,f367]) ).
fof(f704,plain,
! [X0,X1,X2] : mult(rd(X0,X0),ld(X1,X2)) = mult(X0,ld(mult(X1,X0),X2)),
inference(paramodulation,[status(thm)],[f492,f553]) ).
fof(f996,plain,
! [X0,X1] : ld(X0,X1) = mult(ld(X0,X1),ld(mult(X0,ld(X0,X1)),X1)),
inference(paramodulation,[status(thm)],[f9,f704]) ).
fof(f997,plain,
! [X0,X1] : ld(X0,X1) = mult(ld(X0,X1),ld(X1,X1)),
inference(forward_demodulation,[status(thm)],[f7,f996]) ).
fof(f1080,plain,
! [X0,X1] : ld(rd(X0,X1),X0) = mult(X1,ld(X0,X0)),
inference(paramodulation,[status(thm)],[f13,f997]) ).
fof(f1081,plain,
! [X0,X1] : X0 = mult(X0,ld(X1,X1)),
inference(forward_demodulation,[status(thm)],[f13,f1080]) ).
fof(f1288,plain,
! [X0,X1] : ld(X0,X0) = ld(X1,X1),
inference(paramodulation,[status(thm)],[f1081,f8]) ).
fof(f1542,plain,
! [X0,X1] : mult(rd(X0,X0),ld(X0,X0)) = ld(X1,X1),
inference(paramodulation,[status(thm)],[f362,f1288]) ).
fof(f1543,plain,
! [X0,X1] : rd(X0,X0) = ld(X1,X1),
inference(forward_demodulation,[status(thm)],[f1081,f1542]) ).
fof(f1638,plain,
! [X0,X1,X2,X3] : ld(mult(X0,X1),mult(X0,X2)) = mult(ld(X3,X3),ld(X1,X2)),
inference(paramodulation,[status(thm)],[f1543,f362]) ).
fof(f1640,plain,
! [X0,X1] : mult(ld(X0,X0),X1) = X1,
inference(paramodulation,[status(thm)],[f1543,f9]) ).
fof(f1667,plain,
! [X0,X1,X2] : ld(mult(X0,X1),mult(X0,X2)) = ld(X1,X2),
inference(backward_demodulation,[status(thm)],[f1640,f1638]) ).
fof(f1675,plain,
! [X0,X1] : ld(X0,mult(X0,X1)) = mult(rd(X0,X0),X1),
inference(backward_demodulation,[status(thm)],[f1667,f288]) ).
fof(f1676,plain,
! [X0,X1] : X0 = mult(rd(X1,X1),X0),
inference(forward_demodulation,[status(thm)],[f8,f1675]) ).
fof(f2017,plain,
! [X0,X1,X2] : mult(mult(X0,X1),X2) = mult(X0,mult(X1,X2)),
inference(backward_demodulation,[status(thm)],[f1676,f334]) ).
fof(f2018,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f12,f2017]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GRP756-1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n029.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 11:48:22 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % Drodi V3.5.1
% 0.15/0.52 % Refutation found
% 0.15/0.52 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.52 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.54 % Elapsed time: 0.234269 seconds
% 0.15/0.54 % CPU time: 1.120087 seconds
% 0.15/0.54 % Memory used: 30.382 MB
%------------------------------------------------------------------------------