TSTP Solution File: GRP751-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP751-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 20:21:33 EDT 2024
% Result : Unsatisfiable 94.87s 12.36s
% Output : CNFRefutation 95.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 5
% Syntax : Number of formulae : 34 ( 34 unt; 0 def)
% Number of atoms : 34 ( 33 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 6 ( 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 : 87 ( 87 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [A,B] : mult(rd(A,B),B) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B] : rd(mult(A,B),B) = A,
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A,B,C] : mult(mult(A,B),mult(C,C)) = mult(mult(A,C),mult(B,C)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
mult(a,mult(b,c)) != mult(mult(rd(a,a),b),mult(a,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f12,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f13,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(f15,plain,
! [X0,X1,X2] : mult(mult(X0,X1),mult(X2,X2)) = mult(mult(X0,X2),mult(X1,X2)),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f16,plain,
mult(a,mult(b,c)) != mult(mult(rd(a,a),b),mult(a,c)),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f37,plain,
! [X0,X1,X2] : rd(mult(mult(X0,mult(X0,X0)),mult(X1,X2)),mult(mult(X0,X0),X2)) = mult(X0,X1),
inference(paramodulation,[status(thm)],[f13,f12]) ).
fof(f79,plain,
! [X0,X1,X2] : mult(X0,mult(X1,X1)) = mult(mult(rd(X0,X2),X1),mult(X2,X1)),
inference(paramodulation,[status(thm)],[f11,f15]) ).
fof(f90,plain,
! [X0,X1,X2] : mult(mult(rd(X0,X1),X2),mult(X1,X1)) = mult(X0,mult(X2,X1)),
inference(paramodulation,[status(thm)],[f11,f15]) ).
fof(f229,plain,
! [X0,X1,X2] : mult(X0,mult(X1,X1)) = mult(mult(rd(X0,rd(X2,X1)),X1),X2),
inference(paramodulation,[status(thm)],[f11,f79]) ).
fof(f248,plain,
! [X0,X1,X2] : rd(mult(X0,mult(X1,X1)),mult(X2,X1)) = mult(rd(X0,X2),X1),
inference(paramodulation,[status(thm)],[f79,f12]) ).
fof(f284,plain,
! [X0,X1,X2] : rd(mult(X0,mult(X1,X2)),mult(X2,X2)) = mult(rd(X0,X2),X1),
inference(paramodulation,[status(thm)],[f90,f12]) ).
fof(f955,plain,
! [X0,X1,X2] : rd(mult(X0,mult(X1,X1)),X2) = mult(rd(X0,rd(X2,X1)),X1),
inference(paramodulation,[status(thm)],[f229,f12]) ).
fof(f966,plain,
! [X0,X1,X2,X3] : rd(mult(X0,mult(X1,X2)),mult(X3,X2)) = mult(rd(mult(rd(X0,X2),X1),X3),X2),
inference(paramodulation,[status(thm)],[f90,f248]) ).
fof(f975,plain,
! [X0,X1,X2] : rd(X0,mult(X1,X2)) = mult(rd(rd(X0,mult(X2,X2)),X1),X2),
inference(paramodulation,[status(thm)],[f11,f248]) ).
fof(f1482,plain,
! [X0,X1,X2] : rd(mult(X0,X1),mult(X2,X2)) = mult(rd(X0,X2),rd(X1,X2)),
inference(paramodulation,[status(thm)],[f11,f284]) ).
fof(f2649,plain,
! [X0,X1,X2] : rd(rd(X0,mult(X1,X2)),X2) = rd(rd(X0,mult(X2,X2)),X1),
inference(paramodulation,[status(thm)],[f975,f12]) ).
fof(f8878,plain,
! [X0,X1,X2] : rd(mult(X0,X1),X2) = rd(rd(mult(mult(X0,mult(X0,X0)),mult(X1,X2)),mult(X2,X2)),mult(X0,X0)),
inference(paramodulation,[status(thm)],[f37,f2649]) ).
fof(f8879,plain,
! [X0,X1,X2] : rd(mult(X0,X1),X2) = rd(mult(rd(mult(X0,mult(X0,X0)),X2),rd(mult(X1,X2),X2)),mult(X0,X0)),
inference(forward_demodulation,[status(thm)],[f1482,f8878]) ).
fof(f8880,plain,
! [X0,X1,X2] : rd(mult(X0,X1),X2) = mult(rd(rd(mult(X0,mult(X0,X0)),X2),X0),rd(rd(mult(X1,X2),X2),X0)),
inference(forward_demodulation,[status(thm)],[f1482,f8879]) ).
fof(f8881,plain,
! [X0,X1,X2] : rd(mult(X0,X1),X2) = mult(rd(mult(rd(X0,rd(X2,X0)),X0),X0),rd(rd(mult(X1,X2),X2),X0)),
inference(forward_demodulation,[status(thm)],[f955,f8880]) ).
fof(f8882,plain,
! [X0,X1,X2] : rd(mult(X0,X1),X2) = mult(rd(X0,rd(X2,X0)),rd(rd(mult(X1,X2),X2),X0)),
inference(forward_demodulation,[status(thm)],[f12,f8881]) ).
fof(f8883,plain,
! [X0,X1,X2] : rd(mult(X0,X1),X2) = mult(rd(X0,rd(X2,X0)),rd(X1,X0)),
inference(forward_demodulation,[status(thm)],[f12,f8882]) ).
fof(f9689,plain,
! [X0,X1,X2] : rd(mult(X0,mult(X1,X0)),X2) = mult(rd(X0,rd(X2,X0)),X1),
inference(paramodulation,[status(thm)],[f12,f8883]) ).
fof(f22011,plain,
! [X0,X1,X2] : mult(rd(X0,rd(mult(X1,X0),X0)),X2) = mult(rd(mult(rd(X0,X0),X2),X1),X0),
inference(paramodulation,[status(thm)],[f9689,f966]) ).
fof(f22012,plain,
! [X0,X1,X2] : mult(rd(X0,X1),X2) = mult(rd(mult(rd(X0,X0),X2),X1),X0),
inference(forward_demodulation,[status(thm)],[f12,f22011]) ).
fof(f22436,plain,
! [X0,X1,X2] : mult(mult(rd(X0,X1),X2),mult(X1,X1)) = mult(mult(rd(X0,X0),X2),mult(X0,X1)),
inference(paramodulation,[status(thm)],[f22012,f90]) ).
fof(f22437,plain,
! [X0,X1,X2] : mult(X0,mult(X1,X2)) = mult(mult(rd(X0,X0),X1),mult(X0,X2)),
inference(forward_demodulation,[status(thm)],[f90,f22436]) ).
fof(f22914,plain,
mult(a,mult(b,c)) != mult(a,mult(b,c)),
inference(backward_demodulation,[status(thm)],[f22437,f16]) ).
fof(f22915,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f22914]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.13 % Problem : GRP751-1 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Apr 30 00:40:19 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.18/0.35 % Drodi V3.6.0
% 94.87/12.36 % Refutation found
% 94.87/12.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 94.87/12.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 96.99/12.63 % Elapsed time: 12.253157 seconds
% 96.99/12.63 % CPU time: 96.535496 seconds
% 96.99/12.63 % Total memory used: 859.849 MB
% 96.99/12.63 % Net memory used: 856.058 MB
%------------------------------------------------------------------------------