TSTP Solution File: ALG235-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG235-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.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 20:11:11 EDT 2024
% Result : Unsatisfiable 0.17s 0.39s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 19 unt; 0 def)
% Number of atoms : 19 ( 18 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 7 ( 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 : 50 ( 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : mult(A,mult(B,mult(A,B))) = mult(A,B),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C,D] : mult(A,mult(B,mult(C,D))) = mult(C,mult(B,mult(A,D))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B,C,D] : mult(mult(A,mult(B,mult(C,B))),D) = mult(A,mult(D,mult(mult(C,B),D))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
mult(a,mult(b,mult(a,mult(c,mult(d,c))))) != mult(a,mult(b,mult(d,c))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,plain,
! [X0,X1] : mult(X0,mult(X1,mult(X0,X1))) = mult(X0,X1),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f6,plain,
! [X0,X1,X2,X3] : mult(X0,mult(X1,mult(X2,X3))) = mult(X2,mult(X1,mult(X0,X3))),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f7,plain,
! [X0,X1,X2,X3] : mult(mult(X0,mult(X1,mult(X2,X1))),X3) = mult(X0,mult(X3,mult(mult(X2,X1),X3))),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f8,plain,
mult(a,mult(b,mult(a,mult(c,mult(d,c))))) != mult(a,mult(b,mult(d,c))),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f13,plain,
! [X0,X1,X2] : mult(X0,mult(X1,mult(X2,mult(X1,X0)))) = mult(X2,mult(X1,X0)),
inference(paramodulation,[status(thm)],[f5,f6]) ).
fof(f16,plain,
! [X0,X1,X2,X3] : mult(X0,mult(X1,mult(X2,mult(X3,mult(X0,X3))))) = mult(X2,mult(X1,mult(X0,X3))),
inference(paramodulation,[status(thm)],[f5,f6]) ).
fof(f56,plain,
! [X0,X1] : mult(X0,mult(X1,mult(X0,X1))) = mult(mult(X0,X1),mult(X1,mult(X0,X1))),
inference(paramodulation,[status(thm)],[f13,f13]) ).
fof(f77,plain,
! [X0,X1] : mult(X0,X1) = mult(mult(X0,X1),mult(X1,mult(X0,X1))),
inference(forward_demodulation,[status(thm)],[f5,f56]) ).
fof(f95,plain,
! [X0,X1,X2] : mult(X0,mult(X1,mult(mult(X0,X2),X1))) = mult(mult(X0,X2),X1),
inference(paramodulation,[status(thm)],[f5,f7]) ).
fof(f159,plain,
! [X0,X1] : mult(X0,X1) = mult(X0,mult(X1,mult(mult(X0,X1),X1))),
inference(forward_demodulation,[status(thm)],[f6,f77]) ).
fof(f265,plain,
! [X0,X1] : mult(X0,X1) = mult(mult(X0,X1),X1),
inference(backward_demodulation,[status(thm)],[f95,f159]) ).
fof(f819,plain,
! [X0,X1,X2,X3] : mult(X0,mult(X1,mult(X2,mult(X3,mult(X0,X3))))) = mult(X2,mult(X1,mult(X2,mult(mult(X3,mult(X0,X3)),mult(X0,X3))))),
inference(paramodulation,[status(thm)],[f16,f16]) ).
fof(f902,plain,
! [X2,X1,X0,X3] : mult(X2,mult(X1,mult(X0,X3))) = mult(X2,mult(X1,mult(X2,mult(mult(X3,mult(X0,X3)),mult(X0,X3))))),
inference(forward_demodulation,[status(thm)],[f16,f819]) ).
fof(f903,plain,
! [X2,X1,X0,X3] : mult(X2,mult(X1,mult(X0,X3))) = mult(X2,mult(X1,mult(X2,mult(X3,mult(X0,X3))))),
inference(forward_demodulation,[status(thm)],[f265,f902]) ).
fof(f904,plain,
$false,
inference(resolution,[status(thm)],[f903,f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG235-1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33 % Computer : n027.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Apr 30 00:00:02 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.34 % Drodi V3.6.0
% 0.17/0.39 % Refutation found
% 0.17/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.40 % Elapsed time: 0.063210 seconds
% 0.17/0.40 % CPU time: 0.429494 seconds
% 0.17/0.40 % Total memory used: 20.539 MB
% 0.17/0.40 % Net memory used: 20.036 MB
%------------------------------------------------------------------------------