TSTP Solution File: GRP729-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP729-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.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 12:12:37 EDT 2023
% Result : Unsatisfiable 0.19s 0.55s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 26 unt; 0 def)
% Number of atoms : 26 ( 25 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 50 (; 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A] : mult(unit,A) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A] : mult(i(A),A) = unit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B] : i(mult(A,B)) = mult(i(A),i(B)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A,B] : mult(i(A),mult(A,B)) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [A,B,C] : mult(mult(A,B),C) = mult(mult(A,mult(B,C)),asoc(A,B,C)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [A,B] : mult(A,B) = mult(mult(B,A),op_k(A,B)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [A,B,C,D,E] : asoc(A,B,asoc(C,D,E)) = unit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
asoc(a,b,op_k(c,d)) != unit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,plain,
! [X0] : mult(unit,X0) = X0,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f27,plain,
! [X0] : mult(i(X0),X0) = unit,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f28,plain,
! [X0,X1] : i(mult(X0,X1)) = mult(i(X0),i(X1)),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f29,plain,
! [X0,X1] : mult(i(X0),mult(X0,X1)) = X1,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f33,plain,
! [X0,X1,X2] : mult(mult(X0,X1),X2) = mult(mult(X0,mult(X1,X2)),asoc(X0,X1,X2)),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f34,plain,
! [X0,X1] : mult(X0,X1) = mult(mult(X1,X0),op_k(X0,X1)),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f45,plain,
! [X0,X1,X2,X3,X4] : asoc(X0,X1,asoc(X2,X3,X4)) = unit,
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f46,plain,
asoc(a,b,op_k(c,d)) != unit,
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f51,plain,
! [X0,X1] : mult(mult(i(mult(X0,X1)),X0),X1) = mult(unit,asoc(i(mult(X0,X1)),X0,X1)),
inference(paramodulation,[status(thm)],[f27,f33]) ).
fof(f52,plain,
! [X0,X1] : mult(mult(i(mult(X0,X1)),X0),X1) = asoc(i(mult(X0,X1)),X0,X1),
inference(forward_demodulation,[status(thm)],[f24,f51]) ).
fof(f215,plain,
! [X0,X1] : mult(i(mult(X0,X1)),mult(X1,X0)) = op_k(X1,X0),
inference(paramodulation,[status(thm)],[f34,f29]) ).
fof(f231,plain,
! [X0,X1] : mult(mult(i(X0),i(X1)),mult(X1,X0)) = asoc(i(mult(i(X1),mult(X1,X0))),i(X1),mult(X1,X0)),
inference(paramodulation,[status(thm)],[f29,f52]) ).
fof(f232,plain,
! [X0,X1] : mult(i(mult(X0,X1)),mult(X1,X0)) = asoc(i(mult(i(X1),mult(X1,X0))),i(X1),mult(X1,X0)),
inference(forward_demodulation,[status(thm)],[f28,f231]) ).
fof(f233,plain,
! [X0,X1] : op_k(X0,X1) = asoc(i(mult(i(X0),mult(X0,X1))),i(X0),mult(X0,X1)),
inference(forward_demodulation,[status(thm)],[f215,f232]) ).
fof(f234,plain,
! [X0,X1] : op_k(X0,X1) = asoc(i(X1),i(X0),mult(X0,X1)),
inference(forward_demodulation,[status(thm)],[f29,f233]) ).
fof(f4183,plain,
! [X0,X1,X2,X3] : asoc(X0,X1,op_k(X2,X3)) = unit,
inference(paramodulation,[status(thm)],[f234,f45]) ).
fof(f4373,plain,
unit != unit,
inference(backward_demodulation,[status(thm)],[f4183,f46]) ).
fof(f4374,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f4373]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP729-1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue May 30 11:54:59 EDT 2023
% 0.18/0.34 % CPUTime :
% 0.18/0.34 % Drodi V3.5.1
% 0.19/0.55 % Refutation found
% 0.19/0.55 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.55 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.58 % Elapsed time: 0.234413 seconds
% 0.19/0.58 % CPU time: 1.322832 seconds
% 0.19/0.58 % Memory used: 29.647 MB
%------------------------------------------------------------------------------