TSTP Solution File: SYN353-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN353-1 : TPTP v8.1.2. Released v1.2.0.
% 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 : Wed May 31 12:46:37 EDT 2023
% Result : Unsatisfiable 0.08s 0.27s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 13
% Syntax : Number of formulae : 74 ( 8 unt; 0 def)
% Number of atoms : 197 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 206 ( 83 ~; 123 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-3 aty)
% Number of variables : 155 (; 155 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [Y1,Y2,Y3] :
( ~ f(Y1,Y2,Y3)
| ~ f(a,a,z(Y1,Y2,Y3))
| f(Y2,Y3,Y1)
| f(Y3,Y1,Y2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [Y3,Y1,Y2] :
( ~ f(Y3,Y1,Y2)
| f(Y1,Y2,Y3)
| ~ f(Y2,Y1,z(Y1,Y2,Y3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [Y3,Y1,Y2] :
( ~ f(Y3,Y1,Y2)
| f(Y2,Y3,Y1)
| ~ f(Y2,Y1,z(Y1,Y2,Y3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [Y3,Y1,Y2] :
( f(Y3,Y1,Y2)
| f(Y2,Y1,z(Y1,Y2,Y3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [Y1,Y2,Y3] :
( ~ f(Y1,Y2,Y3)
| ~ f(Y2,Y3,Y1)
| f(Y2,Y1,z(Y1,Y2,Y3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [Y2,Y3,Y1] :
( ~ f(Y2,Y3,Y1)
| f(Y1,Y2,Y3)
| ~ f(Y1,z(Y1,Y2,Y3),Y2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
! [Y2,Y3,Y1] :
( ~ f(Y2,Y3,Y1)
| f(Y3,Y1,Y2)
| ~ f(Y1,z(Y1,Y2,Y3),Y2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
! [Y2,Y3,Y1] :
( f(Y2,Y3,Y1)
| f(Y1,z(Y1,Y2,Y3),Y2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
! [Y1,Y2,Y3] :
( ~ f(Y1,Y2,Y3)
| ~ f(Y3,Y1,Y2)
| f(Y1,z(Y1,Y2,Y3),Y2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
! [Y3,Y1,Y2] :
( f(Y3,Y1,Y2)
| f(Y1,Y2,Y3)
| ~ f(z(Y1,Y2,Y3),Y2,Y1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
! [Y2,Y3,Y1] :
( f(Y2,Y3,Y1)
| f(Y1,Y2,Y3)
| ~ f(z(Y1,Y2,Y3),Y2,Y1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
! [Y3,Y1,Y2] :
( ~ f(Y3,Y1,Y2)
| ~ f(Y2,Y3,Y1)
| f(z(Y1,Y2,Y3),Y2,Y1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
! [Y1,Y2,Y3] :
( ~ f(Y1,Y2,Y3)
| ~ f(Y2,Y3,Y1)
| ~ f(Y3,Y1,Y2)
| ~ f(z(Y1,Y2,Y3),z(Y1,Y2,Y3),z(Y1,Y2,Y3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,plain,
! [X0,X1,X2] :
( ~ f(X0,X1,X2)
| ~ f(a,a,z(X0,X1,X2))
| f(X1,X2,X0)
| f(X2,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f19,plain,
! [X0,X1,X2] :
( ~ f(X0,X1,X2)
| f(X1,X2,X0)
| ~ f(X2,X1,z(X1,X2,X0)) ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f20,plain,
! [X0,X1,X2] :
( ~ f(X0,X1,X2)
| f(X2,X0,X1)
| ~ f(X2,X1,z(X1,X2,X0)) ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f21,plain,
! [X0,X1,X2] :
( f(X0,X1,X2)
| f(X2,X1,z(X1,X2,X0)) ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f22,plain,
! [X0,X1,X2] :
( ~ f(X0,X1,X2)
| ~ f(X1,X2,X0)
| f(X1,X0,z(X0,X1,X2)) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ~ f(X0,X1,X2)
| f(X2,X0,X1)
| ~ f(X2,z(X2,X0,X1),X0) ),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f24,plain,
! [X0,X1,X2] :
( ~ f(X0,X1,X2)
| f(X1,X2,X0)
| ~ f(X2,z(X2,X0,X1),X0) ),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f25,plain,
! [X0,X1,X2] :
( f(X0,X1,X2)
| f(X2,z(X2,X0,X1),X0) ),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f26,plain,
! [X0,X1,X2] :
( ~ f(X0,X1,X2)
| ~ f(X2,X0,X1)
| f(X0,z(X0,X1,X2),X1) ),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f27,plain,
! [X0,X1,X2] :
( f(X0,X1,X2)
| f(X1,X2,X0)
| ~ f(z(X1,X2,X0),X2,X1) ),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f28,plain,
! [X0,X1,X2] :
( f(X0,X1,X2)
| f(X2,X0,X1)
| ~ f(z(X2,X0,X1),X0,X2) ),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ~ f(X0,X1,X2)
| ~ f(X2,X0,X1)
| f(z(X1,X2,X0),X2,X1) ),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f34,plain,
! [X0,X1,X2] :
( ~ f(X0,X1,X2)
| ~ f(X1,X2,X0)
| ~ f(X2,X0,X1)
| ~ f(z(X0,X1,X2),z(X0,X1,X2),z(X0,X1,X2)) ),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f35,plain,
! [X0] :
( ~ f(a,a,X0)
| f(a,X0,a)
| f(X0,a,a)
| f(X0,a,a) ),
inference(resolution,[status(thm)],[f18,f21]) ).
fof(f36,plain,
! [X0] :
( ~ f(a,a,X0)
| f(a,X0,a)
| f(X0,a,a) ),
inference(duplicate_literals_removal,[status(esa)],[f35]) ).
fof(f38,plain,
! [X0] :
( f(a,z(a,a,X0),a)
| f(z(a,a,X0),a,a)
| f(X0,a,a) ),
inference(resolution,[status(thm)],[f36,f21]) ).
fof(f40,plain,
! [X0] :
( f(a,z(a,a,X0),a)
| f(X0,a,a)
| f(X0,a,a)
| f(a,a,X0) ),
inference(resolution,[status(thm)],[f38,f27]) ).
fof(f41,plain,
! [X0] :
( f(a,z(a,a,X0),a)
| f(X0,a,a)
| f(a,a,X0) ),
inference(duplicate_literals_removal,[status(esa)],[f40]) ).
fof(f42,plain,
! [X0] :
( f(X0,a,a)
| f(a,a,X0)
| ~ f(a,X0,a)
| f(X0,a,a) ),
inference(resolution,[status(thm)],[f41,f24]) ).
fof(f43,plain,
! [X0] :
( f(X0,a,a)
| f(a,a,X0)
| ~ f(a,X0,a) ),
inference(duplicate_literals_removal,[status(esa)],[f42]) ).
fof(f48,plain,
! [X0] :
( f(z(a,a,X0),a,a)
| f(a,a,z(a,a,X0))
| f(a,X0,a) ),
inference(resolution,[status(thm)],[f43,f25]) ).
fof(f49,plain,
! [X0] :
( f(a,a,z(a,a,X0))
| f(a,X0,a)
| f(a,X0,a)
| f(a,a,X0) ),
inference(resolution,[status(thm)],[f48,f28]) ).
fof(f50,plain,
! [X0] :
( f(a,a,z(a,a,X0))
| f(a,X0,a)
| f(a,a,X0) ),
inference(duplicate_literals_removal,[status(esa)],[f49]) ).
fof(f53,plain,
! [X0] :
( f(a,X0,a)
| f(a,a,X0)
| ~ f(X0,a,a)
| f(a,X0,a) ),
inference(resolution,[status(thm)],[f50,f20]) ).
fof(f54,plain,
! [X0] :
( f(a,X0,a)
| f(a,a,X0)
| ~ f(X0,a,a) ),
inference(duplicate_literals_removal,[status(esa)],[f53]) ).
fof(f61,plain,
! [X0] :
( f(a,z(a,a,X0),a)
| f(a,a,z(a,a,X0))
| ~ f(X0,a,a)
| ~ f(a,X0,a) ),
inference(resolution,[status(thm)],[f54,f29]) ).
fof(f62,plain,
! [X0] :
( f(a,z(a,a,X0),a)
| f(a,a,z(a,a,X0))
| ~ f(X0,a,a) ),
inference(forward_subsumption_resolution,[status(thm)],[f61,f25]) ).
fof(f64,plain,
! [X0] :
( f(a,z(a,a,X0),a)
| f(a,a,z(a,a,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f62,f21]) ).
fof(f68,plain,
! [X0] :
( f(a,a,z(a,a,X0))
| ~ f(a,X0,a)
| f(a,a,X0) ),
inference(resolution,[status(thm)],[f64,f23]) ).
fof(f69,plain,
! [X0] :
( f(a,a,z(a,a,X0))
| ~ f(a,X0,a) ),
inference(forward_subsumption_resolution,[status(thm)],[f68,f22]) ).
fof(f74,plain,
! [X0] :
( ~ f(a,X0,a)
| ~ f(X0,a,a)
| f(a,a,X0) ),
inference(resolution,[status(thm)],[f69,f19]) ).
fof(f75,plain,
! [X0] :
( ~ f(X0,a,a)
| f(a,a,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f74,f54]) ).
fof(f76,plain,
! [X0] :
( f(a,a,X0)
| ~ f(a,X0,a) ),
inference(backward_subsumption_resolution,[status(thm)],[f43,f75]) ).
fof(f81,plain,
! [X0] : f(a,a,z(a,a,X0)),
inference(backward_subsumption_resolution,[status(thm)],[f64,f76]) ).
fof(f88,plain,
! [X0] :
( ~ f(X0,a,a)
| f(a,X0,a) ),
inference(resolution,[status(thm)],[f81,f20]) ).
fof(f90,plain,
! [X0] :
( f(a,z(a,a,X0),a)
| f(X0,a,a) ),
inference(backward_subsumption_resolution,[status(thm)],[f38,f88]) ).
fof(f91,plain,
! [X0] :
( ~ f(a,a,X0)
| f(a,X0,a) ),
inference(backward_subsumption_resolution,[status(thm)],[f36,f88]) ).
fof(f96,plain,
! [X0] :
( f(a,z(a,a,X0),a)
| ~ f(a,a,X0)
| ~ f(a,X0,a) ),
inference(resolution,[status(thm)],[f91,f22]) ).
fof(f97,plain,
! [X0] :
( f(a,z(a,a,X0),a)
| ~ f(a,X0,a) ),
inference(forward_subsumption_resolution,[status(thm)],[f96,f76]) ).
fof(f100,plain,
! [X0] :
( f(X0,a,a)
| ~ f(a,X0,a)
| f(X0,a,a) ),
inference(resolution,[status(thm)],[f90,f24]) ).
fof(f101,plain,
! [X0] :
( f(X0,a,a)
| ~ f(a,X0,a) ),
inference(duplicate_literals_removal,[status(esa)],[f100]) ).
fof(f103,plain,
! [X0] : f(a,z(a,a,X0),a),
inference(forward_subsumption_resolution,[status(thm)],[f97,f25]) ).
fof(f107,plain,
! [X0] : f(z(a,a,X0),a,a),
inference(resolution,[status(thm)],[f101,f103]) ).
fof(f110,plain,
! [X0] :
( f(a,X0,a)
| f(a,a,X0) ),
inference(resolution,[status(thm)],[f107,f28]) ).
fof(f111,plain,
! [X0] : f(a,a,X0),
inference(forward_subsumption_resolution,[status(thm)],[f110,f76]) ).
fof(f116,plain,
! [X0,X1,X2] :
( ~ f(X0,X1,X2)
| f(X1,X2,X0)
| f(X2,X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f18,f111]) ).
fof(f132,plain,
! [X0,X1,X2] :
( f(X0,X1,z(X1,X0,X2))
| f(X1,z(X1,X0,X2),X0)
| ~ f(X2,X1,X0)
| ~ f(X0,X2,X1) ),
inference(resolution,[status(thm)],[f116,f29]) ).
fof(f133,plain,
! [X0,X1,X2] :
( f(X0,X1,z(X1,X0,X2))
| f(X1,z(X1,X0,X2),X0)
| ~ f(X2,X1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f132,f25]) ).
fof(f147,plain,
! [X0,X1,X2] :
( f(X0,X1,z(X1,X0,X2))
| f(X1,z(X1,X0,X2),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f133,f21]) ).
fof(f149,plain,
! [X0,X1,X2] :
( f(X0,z(X0,X1,X2),X1)
| ~ f(X2,X0,X1)
| f(X0,X1,X2) ),
inference(resolution,[status(thm)],[f147,f19]) ).
fof(f150,plain,
! [X0,X1,X2] :
( f(X0,z(X0,X1,X2),X1)
| ~ f(X2,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f149,f26]) ).
fof(f158,plain,
! [X0,X1,X2] :
( ~ f(X0,X1,X2)
| ~ f(X2,X0,X1)
| f(X1,X2,X0) ),
inference(resolution,[status(thm)],[f150,f23]) ).
fof(f159,plain,
! [X0,X1,X2] :
( ~ f(X0,X1,X2)
| f(X1,X2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f158,f116]) ).
fof(f162,plain,
! [X0,X1,X2] :
( f(X0,X1,X2)
| ~ f(z(X2,X0,X1),X0,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f28,f159]) ).
fof(f164,plain,
! [X0,X1,X2] : f(X0,z(X0,X1,X2),X1),
inference(backward_subsumption_resolution,[status(thm)],[f147,f159]) ).
fof(f165,plain,
! [X0,X1,X2] :
( ~ f(X0,X1,X2)
| ~ f(X2,X0,X1)
| ~ f(z(X0,X1,X2),z(X0,X1,X2),z(X0,X1,X2)) ),
inference(backward_subsumption_resolution,[status(thm)],[f34,f159]) ).
fof(f166,plain,
! [X0,X1,X2] :
( ~ f(X0,X1,X2)
| ~ f(z(X1,X2,X0),z(X1,X2,X0),z(X1,X2,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f165,f159]) ).
fof(f175,plain,
! [X0,X1,X2] :
( f(X0,X1,X2)
| ~ f(X2,z(X2,X0,X1),X0) ),
inference(resolution,[status(thm)],[f162,f159]) ).
fof(f176,plain,
! [X0,X1,X2] : f(X0,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[f175,f164]) ).
fof(f177,plain,
! [X0,X1,X2] : ~ f(z(X0,X1,X2),z(X0,X1,X2),z(X0,X1,X2)),
inference(forward_subsumption_resolution,[status(thm)],[f166,f176]) ).
fof(f178,plain,
$false,
inference(resolution,[status(thm)],[f177,f176]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SYN353-1 : TPTP v8.1.2. Released v1.2.0.
% 0.00/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.25 % Computer : n026.cluster.edu
% 0.08/0.25 % Model : x86_64 x86_64
% 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.25 % Memory : 8042.1875MB
% 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.25 % CPULimit : 300
% 0.08/0.25 % WCLimit : 300
% 0.08/0.25 % DateTime : Tue May 30 10:44:13 EDT 2023
% 0.08/0.25 % CPUTime :
% 0.08/0.26 % Drodi V3.5.1
% 0.08/0.27 % Refutation found
% 0.08/0.27 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.27 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.48 % Elapsed time: 0.014862 seconds
% 0.11/0.48 % CPU time: 0.067013 seconds
% 0.11/0.48 % Memory used: 2.575 MB
%------------------------------------------------------------------------------