TSTP Solution File: GRP702-11 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP702-11 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.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 0.10s 0.34s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 23 ( 23 unt; 0 def)
% Number of atoms : 23 ( 22 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 17 (; 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : mult(A,ld(A,B)) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A] : mult(A,unit) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A] : mult(unit,A) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A,B] : mult(A,mult(B,op_c)) = mult(mult(A,B),op_c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [A] : op_d = ld(A,mult(op_c,A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
mult(x0,mult(x1,op_d)) != mult(mult(x0,x1),op_d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f19,plain,
! [X0] : mult(X0,unit) = X0,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f20,plain,
! [X0] : mult(unit,X0) = X0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f23,plain,
! [X0,X1] : mult(X0,mult(X1,op_c)) = mult(mult(X0,X1),op_c),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f25,plain,
! [X0] : op_d = ld(X0,mult(op_c,X0)),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f28,plain,
mult(x0,mult(x1,op_d)) != mult(mult(x0,x1),op_d),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f29,plain,
! [X0] : ld(unit,X0) = X0,
inference(paramodulation,[status(thm)],[f20,f15]) ).
fof(f49,plain,
op_d = mult(op_c,unit),
inference(paramodulation,[status(thm)],[f29,f25]) ).
fof(f50,plain,
op_d = op_c,
inference(forward_demodulation,[status(thm)],[f19,f49]) ).
fof(f59,plain,
! [X0] : mult(X0,op_d) = mult(op_c,X0),
inference(paramodulation,[status(thm)],[f25,f15]) ).
fof(f60,plain,
! [X0] : mult(X0,op_c) = mult(op_c,X0),
inference(forward_demodulation,[status(thm)],[f50,f59]) ).
fof(f63,plain,
mult(x0,mult(x1,op_d)) != mult(mult(x0,x1),op_c),
inference(backward_demodulation,[status(thm)],[f50,f28]) ).
fof(f64,plain,
mult(x0,mult(x1,op_c)) != mult(mult(x0,x1),op_c),
inference(forward_demodulation,[status(thm)],[f50,f63]) ).
fof(f65,plain,
mult(x0,mult(op_c,x1)) != mult(mult(x0,x1),op_c),
inference(forward_demodulation,[status(thm)],[f60,f64]) ).
fof(f66,plain,
mult(x0,mult(op_c,x1)) != mult(x0,mult(x1,op_c)),
inference(forward_demodulation,[status(thm)],[f23,f65]) ).
fof(f67,plain,
mult(x0,mult(op_c,x1)) != mult(x0,mult(op_c,x1)),
inference(forward_demodulation,[status(thm)],[f60,f66]) ).
fof(f68,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GRP702-11 : TPTP v8.1.2. Released v8.1.0.
% 0.10/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n020.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue May 30 11:31:28 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.10/0.33 % Drodi V3.5.1
% 0.10/0.34 % Refutation found
% 0.10/0.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.55 % Elapsed time: 0.011923 seconds
% 0.16/0.55 % CPU time: 0.013047 seconds
% 0.16/0.55 % Memory used: 251.515 KB
%------------------------------------------------------------------------------