TSTP Solution File: GRP700+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP700+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 : Tue Apr 30 20:21:26 EDT 2024
% Result : Theorem 6.66s 1.22s
% Output : CNFRefutation 7.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 34 ( 29 unt; 0 def)
% Number of atoms : 39 ( 38 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 9 ~; 3 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 52 ( 49 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [B,A] : mult(A,ld(A,B)) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [B,A] : ld(A,mult(A,B)) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [B,A] : mult(rd(A,B),B) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [B,A] : rd(mult(A,B),B) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A] : mult(A,unit) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A] : mult(unit,A) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [C,B,A] : mult(mult(A,B),mult(B,mult(C,B))) = mult(mult(A,mult(B,mult(B,C))),B),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,conjecture,
! [X0] :
? [X1] :
( mult(X1,X0) = unit
& mult(X0,X1) = unit ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
~ ! [X0] :
? [X1] :
( mult(X1,X0) = unit
& mult(X0,X1) = unit ),
inference(negated_conjecture,[status(cth)],[f9]) ).
fof(f11,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f12,plain,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f13,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f14,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f15,plain,
! [X0] : mult(X0,unit) = X0,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f16,plain,
! [X0] : mult(unit,X0) = X0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f18,plain,
! [X0,X1,X2] : mult(mult(X0,X1),mult(X1,mult(X2,X1))) = mult(mult(X0,mult(X1,mult(X1,X2))),X1),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f19,plain,
? [X0] :
! [X1] :
( mult(X1,X0) != unit
| mult(X0,X1) != unit ),
inference(pre_NNF_transformation,[status(esa)],[f10]) ).
fof(f20,plain,
! [X1] :
( mult(X1,sk0_0) != unit
| mult(sk0_0,X1) != unit ),
inference(skolemization,[status(esa)],[f19]) ).
fof(f21,plain,
! [X0] :
( mult(X0,sk0_0) != unit
| mult(sk0_0,X0) != unit ),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f59,plain,
! [X0,X1] : mult(mult(unit,X0),mult(X0,mult(X1,X0))) = mult(mult(X0,mult(X0,X1)),X0),
inference(paramodulation,[status(thm)],[f16,f18]) ).
fof(f60,plain,
! [X0,X1] : mult(X0,mult(X0,mult(X1,X0))) = mult(mult(X0,mult(X0,X1)),X0),
inference(forward_demodulation,[status(thm)],[f16,f59]) ).
fof(f1484,plain,
! [X0,X1] : mult(X0,mult(X0,mult(ld(X0,X1),X0))) = mult(mult(X0,X1),X0),
inference(paramodulation,[status(thm)],[f11,f60]) ).
fof(f1499,plain,
! [X0,X1] : ld(mult(X0,mult(X0,X1)),mult(X0,mult(X0,mult(X1,X0)))) = X0,
inference(paramodulation,[status(thm)],[f60,f12]) ).
fof(f1505,plain,
! [X0] : ld(X0,X0) = unit,
inference(paramodulation,[status(thm)],[f15,f12]) ).
fof(f1515,plain,
! [X0,X1] : ld(rd(X0,X1),X0) = X1,
inference(paramodulation,[status(thm)],[f13,f12]) ).
fof(f3414,plain,
! [X0,X1] : rd(mult(mult(X0,X1),X0),mult(X0,mult(ld(X0,X1),X0))) = X0,
inference(paramodulation,[status(thm)],[f1484,f14]) ).
fof(f7304,plain,
! [X0] : rd(mult(X0,X0),mult(X0,mult(ld(X0,unit),X0))) = X0,
inference(paramodulation,[status(thm)],[f15,f3414]) ).
fof(f7378,plain,
! [X0] : ld(X0,mult(X0,X0)) = mult(X0,mult(ld(X0,unit),X0)),
inference(paramodulation,[status(thm)],[f7304,f1515]) ).
fof(f7379,plain,
! [X0] : X0 = mult(X0,mult(ld(X0,unit),X0)),
inference(forward_demodulation,[status(thm)],[f12,f7378]) ).
fof(f7485,plain,
! [X0] : ld(mult(mult(ld(X0,unit),X0),mult(mult(ld(X0,unit),X0),X0)),mult(mult(ld(X0,unit),X0),mult(mult(ld(X0,unit),X0),X0))) = mult(ld(X0,unit),X0),
inference(paramodulation,[status(thm)],[f7379,f1499]) ).
fof(f7486,plain,
! [X0] : unit = mult(ld(X0,unit),X0),
inference(forward_demodulation,[status(thm)],[f1505,f7485]) ).
fof(f7593,plain,
mult(sk0_0,ld(sk0_0,unit)) != unit,
inference(resolution,[status(thm)],[f7486,f21]) ).
fof(f7594,plain,
unit != unit,
inference(forward_demodulation,[status(thm)],[f11,f7593]) ).
fof(f7595,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f7594]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GRP700+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n017.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue Apr 30 00:00:18 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % Drodi V3.6.0
% 6.66/1.22 % Refutation found
% 6.66/1.22 % SZS status Theorem for theBenchmark: Theorem is valid
% 6.66/1.22 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 7.13/1.27 % Elapsed time: 0.939177 seconds
% 7.13/1.27 % CPU time: 7.245903 seconds
% 7.13/1.27 % Total memory used: 176.518 MB
% 7.13/1.27 % Net memory used: 174.386 MB
%------------------------------------------------------------------------------