TSTP Solution File: GRP658-10 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP658-10 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.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 12:12:28 EDT 2023
% Result : Unsatisfiable 0.21s 0.44s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 5
% Syntax : Number of formulae : 33 ( 33 unt; 0 def)
% Number of atoms : 33 ( 32 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 0 con; 1-2 aty)
% Number of variables : 73 (; 73 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : mult(A,ld(A,B)) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
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,B,C] : mult(mult(A,mult(B,B)),C) = mult(mult(A,B),mult(B,C)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [X0] : tuple(mult(X0,x1(X0)),mult(x1_2(X0),X0)) != tuple(x1(X0),x1_2(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f9,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f10,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f11,plain,
! [X0,X1,X2] : mult(mult(X0,mult(X1,X1)),X2) = mult(mult(X0,X1),mult(X1,X2)),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f12,plain,
! [X0] : tuple(mult(X0,x1(X0)),mult(x1_2(X0),X0)) != tuple(x1(X0),x1_2(X0)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f20,plain,
! [X0,X1,X2] : mult(X0,X1) = mult(mult(rd(X0,mult(X2,X2)),X2),mult(X2,X1)),
inference(paramodulation,[status(thm)],[f9,f11]) ).
fof(f64,plain,
! [X0,X1,X2] : mult(X0,ld(X1,X2)) = mult(mult(rd(X0,mult(X1,X1)),X1),X2),
inference(paramodulation,[status(thm)],[f7,f20]) ).
fof(f66,plain,
! [X0,X1,X2] : mult(mult(X0,X1),X2) = mult(mult(mult(rd(X0,mult(X1,X1)),X1),X1),mult(X1,X2)),
inference(paramodulation,[status(thm)],[f20,f11]) ).
fof(f67,plain,
! [X0,X1,X2] : mult(mult(X0,X1),X2) = mult(mult(X0,ld(X1,X1)),mult(X1,X2)),
inference(forward_demodulation,[status(thm)],[f64,f66]) ).
fof(f68,plain,
! [X0,X1,X2] : rd(mult(X0,X1),mult(X2,X1)) = mult(rd(X0,mult(X2,X2)),X2),
inference(paramodulation,[status(thm)],[f20,f10]) ).
fof(f80,plain,
! [X0,X1,X2] : mult(mult(X0,X1),ld(X1,X2)) = mult(mult(X0,ld(X1,X1)),X2),
inference(paramodulation,[status(thm)],[f7,f67]) ).
fof(f247,plain,
! [X0,X1,X2] : rd(X0,mult(X1,ld(X2,X0))) = mult(rd(X2,mult(X1,X1)),X1),
inference(paramodulation,[status(thm)],[f7,f68]) ).
fof(f364,plain,
! [X0,X1] : rd(X0,X0) = mult(rd(X1,mult(X1,X1)),X1),
inference(paramodulation,[status(thm)],[f7,f247]) ).
fof(f371,plain,
! [X0,X1,X2] : rd(X0,mult(X1,ld(mult(X2,X1),X0))) = mult(mult(rd(X2,mult(X1,X1)),X1),X1),
inference(paramodulation,[status(thm)],[f68,f247]) ).
fof(f372,plain,
! [X0,X1,X2] : rd(X0,mult(X1,ld(mult(X2,X1),X0))) = mult(X2,ld(X1,X1)),
inference(forward_demodulation,[status(thm)],[f64,f371]) ).
fof(f399,plain,
! [X0,X1] : rd(X0,X0) = rd(X1,X1),
inference(paramodulation,[status(thm)],[f364,f364]) ).
fof(f443,plain,
! [X0,X1,X2] : rd(X0,mult(X1,ld(mult(X1,X1),X0))) = mult(rd(X2,X2),X1),
inference(paramodulation,[status(thm)],[f399,f247]) ).
fof(f444,plain,
! [X0,X1] : mult(X0,ld(X0,X0)) = mult(rd(X1,X1),X0),
inference(forward_demodulation,[status(thm)],[f372,f443]) ).
fof(f445,plain,
! [X0,X1] : X0 = mult(rd(X1,X1),X0),
inference(forward_demodulation,[status(thm)],[f7,f444]) ).
fof(f480,plain,
! [X0] : tuple(x1(rd(X0,X0)),mult(x1_2(rd(X0,X0)),rd(X0,X0))) != tuple(x1(rd(X0,X0)),x1_2(rd(X0,X0))),
inference(paramodulation,[status(thm)],[f445,f12]) ).
fof(f486,plain,
! [X0,X1,X2] : mult(mult(rd(X0,X0),X1),ld(X1,X2)) = mult(ld(X1,X1),X2),
inference(paramodulation,[status(thm)],[f445,f80]) ).
fof(f487,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = mult(ld(X0,X0),X1),
inference(forward_demodulation,[status(thm)],[f445,f486]) ).
fof(f488,plain,
! [X0,X1] : X0 = mult(ld(X1,X1),X0),
inference(forward_demodulation,[status(thm)],[f7,f487]) ).
fof(f621,plain,
! [X0,X1] : rd(X0,X0) = mult(rd(ld(X1,X1),ld(X1,X1)),ld(X1,X1)),
inference(paramodulation,[status(thm)],[f488,f364]) ).
fof(f622,plain,
! [X0,X1] : rd(X0,X0) = ld(X1,X1),
inference(forward_demodulation,[status(thm)],[f445,f621]) ).
fof(f668,plain,
! [X0,X1] : mult(X0,rd(X1,X1)) = X0,
inference(paramodulation,[status(thm)],[f622,f7]) ).
fof(f669,plain,
! [X0] : tuple(x1(rd(X0,X0)),x1_2(rd(X0,X0))) != tuple(x1(rd(X0,X0)),x1_2(rd(X0,X0))),
inference(backward_demodulation,[status(thm)],[f668,f480]) ).
fof(f670,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f669]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP658-10 : TPTP v8.1.2. Released v8.1.0.
% 0.04/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n023.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 11:50:38 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.5.1
% 0.21/0.44 % Refutation found
% 0.21/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.46 % Elapsed time: 0.112863 seconds
% 0.21/0.46 % CPU time: 0.786913 seconds
% 0.21/0.46 % Memory used: 21.492 MB
%------------------------------------------------------------------------------