TSTP Solution File: GRP658-10 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% 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 : n032.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 20:21:18 EDT 2024
% Result : Unsatisfiable 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 6
% Syntax : Number of formulae : 38 ( 38 unt; 0 def)
% Number of atoms : 38 ( 37 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 : 82 ( 82 !; 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(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(f8,plain,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
inference(cnf_transformation,[status(esa)],[f2]) ).
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(f13,plain,
! [X0,X1] : ld(rd(X0,X1),X0) = X1,
inference(paramodulation,[status(thm)],[f9,f8]) ).
fof(f15,plain,
! [X0,X1] : rd(X0,ld(X1,X0)) = X1,
inference(paramodulation,[status(thm)],[f7,f10]) ).
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(f49,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(f53,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(f54,plain,
! [X0,X1,X2] : mult(mult(X0,X1),X2) = mult(mult(X0,ld(X1,X1)),mult(X1,X2)),
inference(forward_demodulation,[status(thm)],[f49,f53]) ).
fof(f60,plain,
! [X0,X1,X2] : ld(mult(rd(X0,mult(X1,X1)),X1),mult(X0,X2)) = mult(X1,X2),
inference(paramodulation,[status(thm)],[f20,f8]) ).
fof(f73,plain,
! [X0,X1,X2] : ld(mult(rd(X0,mult(X1,X1)),X1),X2) = mult(X1,ld(X0,X2)),
inference(paramodulation,[status(thm)],[f7,f60]) ).
fof(f125,plain,
! [X0,X1] : mult(mult(X0,X0),X1) = mult(X0,mult(X0,X1)),
inference(paramodulation,[status(thm)],[f7,f54]) ).
fof(f154,plain,
! [X0,X1,X2] : ld(mult(X0,ld(X1,X1)),mult(mult(X0,X1),X2)) = mult(X1,X2),
inference(paramodulation,[status(thm)],[f54,f8]) ).
fof(f197,plain,
! [X0,X1] : rd(mult(X0,mult(X0,X1)),X1) = mult(X0,X0),
inference(paramodulation,[status(thm)],[f125,f10]) ).
fof(f213,plain,
! [X0,X1] : rd(mult(rd(X0,X1),X0),X1) = mult(rd(X0,X1),rd(X0,X1)),
inference(paramodulation,[status(thm)],[f9,f197]) ).
fof(f470,plain,
! [X0] : rd(X0,X0) = mult(rd(X0,X0),rd(X0,X0)),
inference(paramodulation,[status(thm)],[f10,f213]) ).
fof(f515,plain,
! [X0,X1,X2] : ld(mult(rd(X0,rd(X1,X1)),rd(X1,X1)),X2) = mult(rd(X1,X1),ld(X0,X2)),
inference(paramodulation,[status(thm)],[f470,f73]) ).
fof(f516,plain,
! [X0,X1,X2] : ld(X0,X1) = mult(rd(X2,X2),ld(X0,X1)),
inference(forward_demodulation,[status(thm)],[f9,f515]) ).
fof(f529,plain,
! [X0,X1,X2] : ld(rd(X0,X1),X0) = mult(rd(X2,X2),X1),
inference(paramodulation,[status(thm)],[f13,f516]) ).
fof(f530,plain,
! [X0,X1] : X0 = mult(rd(X1,X1),X0),
inference(forward_demodulation,[status(thm)],[f13,f529]) ).
fof(f722,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)],[f530,f12]) ).
fof(f801,plain,
! [X0,X1,X2] : ld(ld(X0,X0),mult(mult(rd(X1,X1),X0),X2)) = mult(X0,X2),
inference(paramodulation,[status(thm)],[f530,f154]) ).
fof(f802,plain,
! [X0,X1] : ld(ld(X0,X0),mult(X0,X1)) = mult(X0,X1),
inference(forward_demodulation,[status(thm)],[f530,f801]) ).
fof(f846,plain,
! [X0,X1] : ld(ld(X0,X0),X1) = mult(X0,ld(X0,X1)),
inference(paramodulation,[status(thm)],[f7,f802]) ).
fof(f847,plain,
! [X0,X1] : ld(ld(X0,X0),X1) = X1,
inference(forward_demodulation,[status(thm)],[f7,f846]) ).
fof(f908,plain,
! [X0,X1] : rd(X0,X0) = ld(X1,X1),
inference(paramodulation,[status(thm)],[f847,f15]) ).
fof(f938,plain,
! [X0,X1] : mult(X0,rd(X1,X1)) = X0,
inference(paramodulation,[status(thm)],[f908,f7]) ).
fof(f939,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)],[f938,f722]) ).
fof(f940,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f939]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GRP658-10 : TPTP v8.1.2. Released v8.1.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue Apr 30 00:34:35 EDT 2024
% 0.09/0.29 % CPUTime :
% 0.13/0.29 % Drodi V3.6.0
% 0.13/0.35 % Refutation found
% 0.13/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.36 % Elapsed time: 0.072142 seconds
% 0.13/0.36 % CPU time: 0.521906 seconds
% 0.13/0.36 % Total memory used: 39.871 MB
% 0.13/0.36 % Net memory used: 39.480 MB
%------------------------------------------------------------------------------