TSTP Solution File: RNG128-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : RNG128-1 : TPTP v8.1.2. Released v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 20:38:05 EDT 2024
% Result : Unsatisfiable 0.10s 0.39s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 8
% Syntax : Number of formulae : 49 ( 49 unt; 0 def)
% Number of atoms : 49 ( 48 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 4 ( 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 : 81 ( 81 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : add(A,add(B,C)) = add(add(A,B),C),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : add(A,B) = add(B,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : mult(A,B) = mult(B,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B,C] : mult(A,add(B,C)) = add(mult(A,B),mult(A,C)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A] : add(zero,A) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A] : mult(A,unit) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A] : add(unit,add(A,mult(A,A))) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
add(x0,x1) != mult(x0,x1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(add(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f10,plain,
! [X0,X1] : add(X0,X1) = add(X1,X0),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f11,plain,
! [X0,X1] : mult(X0,X1) = mult(X1,X0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f12,plain,
! [X0,X1,X2] : mult(X0,add(X1,X2)) = add(mult(X0,X1),mult(X0,X2)),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f13,plain,
! [X0] : add(zero,X0) = X0,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f14,plain,
! [X0] : mult(X0,unit) = X0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f15,plain,
! [X0] : add(unit,add(X0,mult(X0,X0))) = X0,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f16,plain,
add(x0,x1) != mult(x0,x1),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f17,plain,
! [X0] : X0 = add(X0,zero),
inference(paramodulation,[status(thm)],[f13,f10]) ).
fof(f30,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(X2,add(X0,X1)),
inference(paramodulation,[status(thm)],[f10,f9]) ).
fof(f37,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(add(X1,X0),X2),
inference(paramodulation,[status(thm)],[f10,f9]) ).
fof(f38,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(X1,add(X0,X2)),
inference(forward_demodulation,[status(thm)],[f9,f37]) ).
fof(f178,plain,
! [X0,X1,X2] : mult(X0,add(X1,X2)) = add(mult(X0,X2),mult(X0,X1)),
inference(paramodulation,[status(thm)],[f10,f12]) ).
fof(f179,plain,
! [X0,X1,X2] : mult(X0,add(X1,X2)) = mult(X0,add(X2,X1)),
inference(forward_demodulation,[status(thm)],[f12,f178]) ).
fof(f189,plain,
! [X0,X1] : mult(X0,add(X1,unit)) = add(mult(X0,X1),X0),
inference(paramodulation,[status(thm)],[f14,f12]) ).
fof(f190,plain,
! [X0,X1] : mult(X0,add(X1,unit)) = add(X0,mult(X0,X1)),
inference(forward_demodulation,[status(thm)],[f10,f189]) ).
fof(f204,plain,
! [X0] : add(X0,add(unit,mult(X0,X0))) = X0,
inference(paramodulation,[status(thm)],[f38,f15]) ).
fof(f255,plain,
! [X0] : mult(X0,unit) = add(X0,mult(X0,zero)),
inference(paramodulation,[status(thm)],[f13,f190]) ).
fof(f256,plain,
! [X0] : X0 = add(X0,mult(X0,zero)),
inference(forward_demodulation,[status(thm)],[f14,f255]) ).
fof(f300,plain,
add(unit,zero) = zero,
inference(paramodulation,[status(thm)],[f256,f15]) ).
fof(f301,plain,
unit = zero,
inference(forward_demodulation,[status(thm)],[f17,f300]) ).
fof(f304,plain,
! [X0,X1] : add(X0,add(mult(X0,zero),X1)) = add(X1,X0),
inference(paramodulation,[status(thm)],[f256,f30]) ).
fof(f311,plain,
! [X0,X1] : mult(X0,add(X1,zero)) = add(X0,mult(X0,X1)),
inference(backward_demodulation,[status(thm)],[f301,f190]) ).
fof(f312,plain,
! [X0,X1] : mult(X0,X1) = add(X0,mult(X0,X1)),
inference(forward_demodulation,[status(thm)],[f17,f311]) ).
fof(f313,plain,
! [X0] : add(X0,add(zero,mult(X0,X0))) = X0,
inference(backward_demodulation,[status(thm)],[f301,f204]) ).
fof(f314,plain,
! [X0] : add(X0,mult(X0,X0)) = X0,
inference(forward_demodulation,[status(thm)],[f13,f313]) ).
fof(f315,plain,
! [X0] : mult(X0,X0) = X0,
inference(forward_demodulation,[status(thm)],[f312,f314]) ).
fof(f320,plain,
! [X0] : mult(X0,zero) = X0,
inference(backward_demodulation,[status(thm)],[f301,f14]) ).
fof(f381,plain,
! [X0,X1] : add(X0,add(X0,X1)) = add(X1,X0),
inference(backward_demodulation,[status(thm)],[f320,f304]) ).
fof(f383,plain,
! [X0,X1] : mult(X0,add(X1,X0)) = add(mult(X0,X1),X0),
inference(paramodulation,[status(thm)],[f315,f12]) ).
fof(f384,plain,
! [X0,X1] : mult(X0,add(X1,X0)) = add(X0,mult(X0,X1)),
inference(forward_demodulation,[status(thm)],[f10,f383]) ).
fof(f385,plain,
! [X0,X1] : mult(X0,add(X1,X0)) = mult(X0,X1),
inference(forward_demodulation,[status(thm)],[f312,f384]) ).
fof(f386,plain,
! [X0,X1] : mult(X0,add(X0,X1)) = add(X0,mult(X0,X1)),
inference(paramodulation,[status(thm)],[f315,f12]) ).
fof(f387,plain,
! [X0,X1] : mult(X0,add(X0,X1)) = mult(X0,X1),
inference(forward_demodulation,[status(thm)],[f312,f386]) ).
fof(f529,plain,
! [X0,X1] : add(X0,X1) = mult(add(X0,X1),add(X1,X0)),
inference(paramodulation,[status(thm)],[f315,f179]) ).
fof(f729,plain,
! [X0,X1] : mult(add(X0,X1),add(X1,X0)) = mult(add(X0,X1),X0),
inference(paramodulation,[status(thm)],[f381,f385]) ).
fof(f730,plain,
! [X0,X1] : add(X0,X1) = mult(add(X0,X1),X0),
inference(forward_demodulation,[status(thm)],[f529,f729]) ).
fof(f731,plain,
! [X0,X1] : add(X0,X1) = mult(X0,add(X0,X1)),
inference(forward_demodulation,[status(thm)],[f11,f730]) ).
fof(f732,plain,
! [X0,X1] : add(X0,X1) = mult(X0,X1),
inference(forward_demodulation,[status(thm)],[f387,f731]) ).
fof(f751,plain,
add(x0,x1) != add(x0,x1),
inference(backward_demodulation,[status(thm)],[f732,f16]) ).
fof(f752,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f751]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : RNG128-1 : TPTP v8.1.2. Released v5.4.0.
% 0.10/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n028.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 : Mon Apr 29 22:38:44 EDT 2024
% 0.10/0.33 % CPUTime :
% 0.10/0.33 % Drodi V3.6.0
% 0.10/0.39 % Refutation found
% 0.10/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.41 % Elapsed time: 0.075277 seconds
% 0.10/0.41 % CPU time: 0.518433 seconds
% 0.10/0.41 % Total memory used: 18.165 MB
% 0.10/0.41 % Net memory used: 17.808 MB
%------------------------------------------------------------------------------