TSTP Solution File: GRP750-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP750-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n017.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 12:12:38 EDT 2023
% Result : Unsatisfiable 61.06s 8.09s
% Output : CNFRefutation 62.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 27 ( 27 unt; 0 def)
% Number of atoms : 27 ( 26 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 67 (; 67 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : mult(A,ld(A,B)) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : ld(A,mult(A,B)) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B,C] : mult(mult(A,mult(A,A)),mult(B,C)) = mult(mult(A,B),mult(mult(A,A),C)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A,B,C] : mult(mult(A,B),mult(C,C)) = mult(mult(A,C),mult(B,C)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
mult(mult(a,a),mult(b,c)) != mult(mult(a,b),mult(a,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f9,plain,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f12,plain,
! [X0,X1,X2] : mult(mult(X0,mult(X0,X0)),mult(X1,X2)) = mult(mult(X0,X1),mult(mult(X0,X0),X2)),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f13,plain,
! [X0,X1,X2] : mult(mult(X0,X1),mult(X2,X2)) = mult(mult(X0,X2),mult(X1,X2)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f14,plain,
mult(mult(a,a),mult(b,c)) != mult(mult(a,b),mult(a,c)),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f29,plain,
! [X0,X1,X2] : mult(mult(X0,mult(X0,X0)),mult(X1,ld(mult(X0,X0),X2))) = mult(mult(X0,X1),X2),
inference(paramodulation,[status(thm)],[f8,f12]) ).
fof(f42,plain,
! [X0,X1,X2] : mult(X0,mult(X1,X1)) = mult(mult(X2,X1),mult(ld(X2,X0),X1)),
inference(paramodulation,[status(thm)],[f8,f13]) ).
fof(f60,plain,
! [X0,X1,X2] : ld(mult(X0,X1),mult(mult(X0,X2),mult(X1,X2))) = mult(X2,X2),
inference(paramodulation,[status(thm)],[f13,f9]) ).
fof(f114,plain,
! [X0,X1,X2] : ld(mult(X0,X1),mult(X2,mult(X1,X1))) = mult(ld(X0,X2),X1),
inference(paramodulation,[status(thm)],[f42,f9]) ).
fof(f167,plain,
! [X0,X1,X2] : ld(mult(X0,X1),mult(X2,mult(X1,ld(X0,X2)))) = mult(ld(X0,X2),ld(X0,X2)),
inference(paramodulation,[status(thm)],[f8,f60]) ).
fof(f240,plain,
! [X0,X1,X2] : ld(X0,mult(X1,mult(ld(X2,X0),ld(X2,X0)))) = mult(ld(X2,X1),ld(X2,X0)),
inference(paramodulation,[status(thm)],[f8,f114]) ).
fof(f628,plain,
! [X0,X1,X2] : ld(mult(X0,mult(X0,X0)),mult(mult(X0,X1),X2)) = mult(X1,ld(mult(X0,X0),X2)),
inference(paramodulation,[status(thm)],[f29,f9]) ).
fof(f1209,plain,
! [X0,X1] : ld(mult(X0,X0),mult(X1,X1)) = mult(ld(X0,X1),ld(X0,X1)),
inference(paramodulation,[status(thm)],[f8,f167]) ).
fof(f1418,plain,
! [X0,X1,X2] : ld(X0,mult(X1,ld(mult(X2,X2),mult(X0,X0)))) = mult(ld(X2,X1),ld(X2,X0)),
inference(backward_demodulation,[status(thm)],[f1209,f240]) ).
fof(f2141,plain,
! [X0,X1,X2] : ld(mult(X0,mult(X0,X0)),mult(mult(X0,X1),mult(X2,X2))) = mult(X2,ld(mult(X0,X0),mult(X1,X2))),
inference(paramodulation,[status(thm)],[f13,f628]) ).
fof(f2142,plain,
! [X0,X1,X2] : mult(X0,ld(mult(X1,X1),mult(X2,X2))) = mult(X2,ld(mult(X1,X1),mult(X0,X2))),
inference(forward_demodulation,[status(thm)],[f628,f2141]) ).
fof(f5574,plain,
! [X0,X1,X2] : ld(X0,mult(X0,ld(mult(X1,X1),mult(X2,X0)))) = mult(ld(X1,X2),ld(X1,X0)),
inference(paramodulation,[status(thm)],[f2142,f1418]) ).
fof(f5575,plain,
! [X0,X1,X2] : ld(mult(X0,X0),mult(X1,X2)) = mult(ld(X0,X1),ld(X0,X2)),
inference(forward_demodulation,[status(thm)],[f9,f5574]) ).
fof(f6278,plain,
! [X0,X1,X2] : ld(mult(X0,X0),mult(mult(X0,X1),X2)) = mult(X1,ld(X0,X2)),
inference(paramodulation,[status(thm)],[f9,f5575]) ).
fof(f7368,plain,
! [X0,X1,X2] : mult(mult(X0,X0),mult(X1,ld(X0,X2))) = mult(mult(X0,X1),X2),
inference(paramodulation,[status(thm)],[f6278,f8]) ).
fof(f9083,plain,
! [X0,X1,X2] : mult(mult(X0,X0),mult(X1,X2)) = mult(mult(X0,X1),mult(X0,X2)),
inference(paramodulation,[status(thm)],[f9,f7368]) ).
fof(f9084,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f14,f9083]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP750-1 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n017.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 May 30 10:58:25 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.35 % Drodi V3.5.1
% 61.06/8.09 % Refutation found
% 61.06/8.09 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 61.06/8.09 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 62.08/8.23 % Elapsed time: 7.868068 seconds
% 62.08/8.23 % CPU time: 61.998253 seconds
% 62.08/8.23 % Memory used: 353.240 MB
%------------------------------------------------------------------------------