TSTP Solution File: GRP698-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP698-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.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 12:12:33 EDT 2023
% Result : Unsatisfiable 0.13s 0.46s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 22 unt; 0 def)
% Number of atoms : 22 ( 21 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 47 (; 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [A,B] : mult(rd(A,B),B) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B] : rd(mult(A,B),B) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A] : mult(A,unit) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A,B,C] : mult(mult(mult(A,B),A),mult(A,C)) = mult(A,mult(mult(mult(B,A),A),C)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
mult(a,mult(b,c)) != mult(rd(mult(a,b),a),mult(a,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f13,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f14,plain,
! [X0] : mult(X0,unit) = X0,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f16,plain,
! [X0,X1,X2] : mult(mult(mult(X0,X1),X0),mult(X0,X2)) = mult(X0,mult(mult(mult(X1,X0),X0),X2)),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f18,plain,
mult(a,mult(b,c)) != mult(rd(mult(a,b),a),mult(a,c)),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f24,plain,
! [X0,X1,X2] : rd(mult(X0,mult(mult(mult(X1,X0),X0),X2)),mult(X0,X2)) = mult(mult(X0,X1),X0),
inference(paramodulation,[status(thm)],[f16,f13]) ).
fof(f80,plain,
! [X0,X1,X2] : rd(mult(X0,mult(mult(X1,X0),X2)),mult(X0,X2)) = mult(mult(X0,rd(X1,X0)),X0),
inference(paramodulation,[status(thm)],[f12,f24]) ).
fof(f159,plain,
! [X0,X1,X2] : rd(mult(X0,mult(X1,X2)),mult(X0,X2)) = mult(mult(X0,rd(rd(X1,X0),X0)),X0),
inference(paramodulation,[status(thm)],[f12,f80]) ).
fof(f342,plain,
! [X0,X1,X2,X3] : mult(rd(mult(X0,mult(X1,X2)),mult(X0,X2)),mult(X0,X3)) = mult(X0,mult(mult(mult(rd(rd(X1,X0),X0),X0),X0),X3)),
inference(paramodulation,[status(thm)],[f159,f16]) ).
fof(f343,plain,
! [X0,X1,X2,X3] : mult(rd(mult(X0,mult(X1,X2)),mult(X0,X2)),mult(X0,X3)) = mult(X0,mult(mult(rd(X1,X0),X0),X3)),
inference(forward_demodulation,[status(thm)],[f12,f342]) ).
fof(f344,plain,
! [X0,X1,X2,X3] : mult(rd(mult(X0,mult(X1,X2)),mult(X0,X2)),mult(X0,X3)) = mult(X0,mult(X1,X3)),
inference(forward_demodulation,[status(thm)],[f12,f343]) ).
fof(f891,plain,
! [X0,X1] : rd(mult(X0,mult(X1,unit)),X0) = mult(mult(X0,rd(rd(X1,X0),X0)),X0),
inference(paramodulation,[status(thm)],[f14,f159]) ).
fof(f892,plain,
! [X0,X1] : rd(mult(X0,X1),X0) = mult(mult(X0,rd(rd(X1,X0),X0)),X0),
inference(forward_demodulation,[status(thm)],[f14,f891]) ).
fof(f982,plain,
! [X0,X1,X2] : rd(mult(X0,mult(X1,X2)),mult(X0,X2)) = rd(mult(X0,X1),X0),
inference(backward_demodulation,[status(thm)],[f892,f159]) ).
fof(f1073,plain,
! [X0,X1,X2] : mult(rd(mult(X0,X1),X0),mult(X0,X2)) = mult(X0,mult(X1,X2)),
inference(backward_demodulation,[status(thm)],[f982,f344]) ).
fof(f1085,plain,
mult(a,mult(b,c)) != mult(a,mult(b,c)),
inference(backward_demodulation,[status(thm)],[f1073,f18]) ).
fof(f1086,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f1085]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.09 % Problem : GRP698-1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.29 % Computer : n006.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Tue May 30 11:29:32 EDT 2023
% 0.08/0.29 % CPUTime :
% 0.08/0.29 % Drodi V3.5.1
% 0.13/0.46 % Refutation found
% 0.13/0.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.47 % Elapsed time: 0.182725 seconds
% 0.13/0.47 % CPU time: 0.762691 seconds
% 0.13/0.47 % Memory used: 23.937 MB
%------------------------------------------------------------------------------