TSTP Solution File: GRP709-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP709-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 20:21:28 EDT 2024
% Result : Unsatisfiable 0.20s 0.50s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 20 unt; 0 def)
% Number of atoms : 20 ( 19 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [A] : mult(unit,A) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A,B,C] : mult(A,mult(B,mult(A,C))) = mult(mult(A,mult(B,A)),C),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A] : mult(op_c,A) = mult(A,op_c),
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(f10,negated_conjecture,
mult(mult(op_c,op_c),mult(a,b)) != mult(mult(mult(op_c,op_c),a),b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,plain,
! [X0] : mult(unit,X0) = X0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f17,plain,
! [X0,X1,X2] : mult(X0,mult(X1,mult(X0,X2))) = mult(mult(X0,mult(X1,X0)),X2),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f18,plain,
! [X0] : mult(op_c,X0) = mult(X0,op_c),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f19,plain,
! [X0,X1] : mult(X0,mult(X1,op_c)) = mult(mult(X0,X1),op_c),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f20,plain,
mult(mult(op_c,op_c),mult(a,b)) != mult(mult(mult(op_c,op_c),a),b),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f21,plain,
! [X0,X1] : mult(X0,mult(X1,op_c)) = mult(op_c,mult(X0,X1)),
inference(forward_demodulation,[status(thm)],[f18,f19]) ).
fof(f22,plain,
! [X0,X1] : mult(op_c,mult(X0,X1)) = mult(X0,mult(op_c,X1)),
inference(paramodulation,[status(thm)],[f18,f21]) ).
fof(f54,plain,
! [X0,X1] : mult(op_c,mult(X0,mult(op_c,X1))) = mult(mult(op_c,mult(op_c,X0)),X1),
inference(paramodulation,[status(thm)],[f18,f17]) ).
fof(f139,plain,
! [X0,X1] : mult(X0,mult(unit,mult(X0,X1))) = mult(mult(X0,X0),X1),
inference(paramodulation,[status(thm)],[f16,f17]) ).
fof(f149,plain,
! [X0,X1] : mult(X0,mult(X0,X1)) = mult(mult(X0,X0),X1),
inference(forward_demodulation,[status(thm)],[f16,f139]) ).
fof(f1523,plain,
mult(mult(op_c,op_c),mult(a,b)) != mult(mult(op_c,mult(op_c,a)),b),
inference(backward_demodulation,[status(thm)],[f149,f20]) ).
fof(f1590,plain,
mult(op_c,mult(op_c,mult(a,b))) != mult(mult(op_c,mult(op_c,a)),b),
inference(forward_demodulation,[status(thm)],[f149,f1523]) ).
fof(f1591,plain,
mult(op_c,mult(op_c,mult(a,b))) != mult(op_c,mult(a,mult(op_c,b))),
inference(forward_demodulation,[status(thm)],[f54,f1590]) ).
fof(f1685,plain,
mult(op_c,mult(op_c,mult(a,b))) != mult(op_c,mult(op_c,mult(a,b))),
inference(forward_demodulation,[status(thm)],[f22,f1591]) ).
fof(f1686,plain,
$false,
inference(equality_resolution,[status(esa)],[f1685]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP709-1 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Apr 30 00:46:59 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.6.0
% 0.20/0.50 % Refutation found
% 0.20/0.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.51 % Elapsed time: 0.159605 seconds
% 0.20/0.51 % CPU time: 1.183240 seconds
% 0.20/0.51 % Total memory used: 33.737 MB
% 0.20/0.51 % Net memory used: 33.111 MB
%------------------------------------------------------------------------------