%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN646-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:17:00 PM UTC 2026
% Result : Unsatisfiable 0.30s 0.46s
% Output : CNFRefutation 0.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 32 ( 19 unt; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 69 ( 40 ~; 29 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 10 ( 3 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-1 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,negated_conjecture,
! [X16] : p2(X16,X16),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
~ p21(f17(c25),f17(c22)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
p2(f12(f11(c22)),f7(c24)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
p2(f12(f11(c25)),f7(c24)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
p20(f14(f11(c25)),f14(f11(c22))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
p2(f13(f11(c23)),f13(f11(c22))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
! [X17,X18,X16] :
( ~ p2(X16,X18)
| ~ p2(X16,X17)
| p2(X17,X18) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,negated_conjecture,
! [X39,X40] :
( ~ p20(f14(f11(X39)),f14(f11(X40)))
| ~ p2(f13(f11(X39)),f13(f11(X40)))
| ~ p2(f12(f11(X40)),f7(c24))
| ~ p2(f12(f11(X39)),f7(c24))
| p21(f17(X39),f17(X40)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f51,plain,
~ p21(f17(c25),f17(c22)),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f53,plain,
p2(f12(f11(c22)),f7(c24)),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f54,plain,
p2(f12(f11(c25)),f7(c24)),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f56,plain,
p20(f14(f11(c25)),f14(f11(c22))),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f58,plain,
p2(f13(f11(c23)),f13(f11(c22))),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f75,plain,
! [X18,X16] :
( ~ p2(X16,X18)
| ! [X17] :
( ~ p2(X16,X17)
| p2(X17,X18) ) ),
inference(miniscoping,[status(thm)],[f28]) ).
fof(f76,plain,
! [X0,X1,X2] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f89,plain,
p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f90,plain,
p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f94,plain,
! [X0,X1] :
( ~ p20(f14(f11(X0)),f14(f11(X1)))
| ~ p2(f13(f11(X0)),f13(f11(X1)))
| ~ p2(f12(f11(X1)),f7(c24))
| ~ p2(f12(f11(X0)),f7(c24))
| p21(f17(X0),f17(X1)) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f198,plain,
( ~ p2(f13(f11(c25)),f13(f11(c22)))
| ~ p2(f12(f11(c22)),f7(c24))
| ~ p2(f12(f11(c25)),f7(c24))
| p21(f17(c25),f17(c22)) ),
inference(resolution,[status(thm)],[f94,f56]) ).
fof(f200,plain,
( ~ p2(f13(f11(c25)),f13(f11(c22)))
| ~ p2(f12(f11(c22)),f7(c24))
| ~ p2(f12(f11(c25)),f7(c24)) ),
inference(forward_subsumption_resolution,[status(thm)],[f198,f51]) ).
fof(f242,plain,
! [X0] :
( ~ p2(X0,f13(f11(c22)))
| ~ p2(X0,f13(f11(c25)))
| ~ p2(f12(f11(c22)),f7(c24))
| ~ p2(f12(f11(c25)),f7(c24)) ),
inference(resolution,[status(thm)],[f200,f76]) ).
fof(f244,plain,
! [X0] :
( ~ p2(X0,f13(f11(c22)))
| ~ p2(X0,f13(f11(c25)))
| ~ p2(f12(f11(c22)),f7(c24)) ),
inference(forward_subsumption_resolution,[status(thm)],[f242,f54]) ).
fof(f309,plain,
! [X0] :
( ~ p2(X0,f13(f11(c22)))
| ~ p2(X0,f13(f11(c25))) ),
inference(resolution,[status(thm)],[f244,f53]) ).
fof(f312,plain,
! [X0,X1] :
( ~ p2(X1,f13(f11(c25)))
| ~ p2(X1,X0)
| ~ p2(X0,f13(f11(c22))) ),
inference(resolution,[status(thm)],[f309,f76]) ).
fof(f325,plain,
! [X0] :
( ~ p2(f13(f11(c25)),X0)
| ~ p2(X0,f13(f11(c22))) ),
inference(resolution,[status(thm)],[f312,f49]) ).
fof(f326,plain,
~ p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f13(f11(c22))),
inference(resolution,[status(thm)],[f325,f90]) ).
fof(f427,plain,
! [X0] :
( ~ p2(X0,f13(f11(c22)))
| ~ p2(X0,f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))) ),
inference(resolution,[status(thm)],[f326,f76]) ).
fof(f428,plain,
~ p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
inference(resolution,[status(thm)],[f427,f58]) ).
fof(f432,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f428,f89]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN646-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.02 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.29 % Computer : n012.cluster.edu
% 0.02/0.29 % Model : x86_64 x86_64
% 0.02/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.29 % Memory : 8046.5625MB
% 0.02/0.29 % OS : Linux 6.8.0-71-generic
% 0.02/0.29 % CPULimit : 300
% 0.02/0.29 % WCLimit : 300
% 0.02/0.29 % DateTime : Mon Sep 21 11:11:23 UTC 2026
% 0.02/0.30 % CPUTime :
% 0.02/0.30 % Drodi V4.1.1
% 0.30/0.46 % Refutation found
% 0.30/0.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.30/0.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.30/0.48 % Elapsed time: 0.173236 seconds
% 0.30/0.48 % CPU time: 1.241065 seconds
% 0.30/0.48 % Total memory used: 107.553 MB
% 0.30/0.48 % Net memory used: 101.109 MB
%------------------------------------------------------------------------------