%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN688-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 03:17:05 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.40s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 33 ( 13 unt; 0 def)
% Number of atoms : 81 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 103 ( 55 ~; 48 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 45 ( 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
p27(c34),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
p27(c43),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
! [X18] : p18(X18,X18),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
~ p25(f17(c43),c34),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
! [X23] :
( ~ p27(X23)
| p27(f17(X23)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
p28(f20(f19(c43)),f19(c34)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
! [X23] :
( ~ p27(X23)
| p18(f19(f17(X23)),f20(f19(X23))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
! [X19,X20,X18] :
( ~ p18(X18,X20)
| ~ p18(X18,X19)
| p18(X19,X20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,negated_conjecture,
! [X56,X57] :
( ~ p28(f19(X56),f19(X57))
| ~ p27(X57)
| ~ p27(X56)
| p25(X56,X57) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,negated_conjecture,
! [X66,X67,X69,X68] :
( ~ p18(X68,X66)
| ~ p28(X68,X69)
| ~ p18(X69,X67)
| p28(X66,X67) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f63,plain,
p27(c34),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f64,plain,
p27(c43),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f72,plain,
! [X0] : p18(X0,X0),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f78,plain,
~ p25(f17(c43),c34),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f79,plain,
! [X0] :
( ~ p27(X0)
| p27(f17(X0)) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f80,plain,
p28(f20(f19(c43)),f19(c34)),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f93,plain,
! [X0] :
( ~ p27(X0)
| p18(f19(f17(X0)),f20(f19(X0))) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f104,plain,
! [X20,X18] :
( ~ p18(X18,X20)
| ! [X19] :
( ~ p18(X18,X19)
| p18(X19,X20) ) ),
inference(miniscoping,[status(thm)],[f37]) ).
fof(f105,plain,
! [X0,X1,X2] :
( ~ p18(X2,X1)
| ~ p18(X2,X0)
| p18(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f104]) ).
fof(f109,plain,
! [X0,X1] :
( ~ p28(f19(X0),f19(X1))
| ~ p27(X1)
| ~ p27(X0)
| p25(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f115,plain,
! [X66,X68] :
( ~ p18(X68,X66)
| ! [X69] :
( ~ p28(X68,X69)
| ! [X67] :
( ~ p18(X69,X67)
| p28(X66,X67) ) ) ),
inference(miniscoping,[status(thm)],[f44]) ).
fof(f116,plain,
! [X0,X1,X2,X3] :
( ~ p18(X3,X0)
| ~ p28(X3,X2)
| ~ p18(X2,X1)
| p28(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f115]) ).
fof(f142,plain,
! [X0,X1] :
( ~ p18(f20(f19(c43)),X0)
| ~ p18(f19(c34),X1)
| p28(X0,X1) ),
inference(resolution,[status(thm)],[f116,f80]) ).
fof(f143,plain,
! [X0,X1] :
( ~ p27(X0)
| ~ p27(X1)
| p25(X1,X0)
| ~ p18(f20(f19(c43)),f19(X1))
| ~ p18(f19(c34),f19(X0)) ),
inference(resolution,[status(thm)],[f142,f109]) ).
fof(f147,plain,
! [X0,X1,X2] :
( ~ p18(X2,f19(X1))
| ~ p18(X2,f20(f19(c43)))
| ~ p27(X0)
| ~ p27(X1)
| p25(X1,X0)
| ~ p18(f19(c34),f19(X0)) ),
inference(resolution,[status(thm)],[f143,f105]) ).
fof(f150,plain,
! [X0,X1] :
( ~ p18(X1,f19(X0))
| ~ p18(X1,f20(f19(c43)))
| ~ p27(c34)
| ~ p27(X0)
| p25(X0,c34) ),
inference(resolution,[status(thm)],[f147,f72]) ).
fof(f151,plain,
! [X0,X1] :
( ~ p18(X1,f19(X0))
| ~ p18(X1,f20(f19(c43)))
| ~ p27(X0)
| p25(X0,c34) ),
inference(forward_subsumption_resolution,[status(thm)],[f150,f63]) ).
fof(f152,plain,
! [X0] :
( ~ p18(X0,f19(f17(c43)))
| ~ p18(X0,f20(f19(c43)))
| ~ p27(f17(c43)) ),
inference(resolution,[status(thm)],[f151,f78]) ).
fof(f157,plain,
! [X0] :
( ~ p27(c43)
| ~ p18(X0,f19(f17(c43)))
| ~ p18(X0,f20(f19(c43))) ),
inference(resolution,[status(thm)],[f152,f79]) ).
fof(f159,plain,
! [X0] :
( ~ p18(X0,f19(f17(c43)))
| ~ p18(X0,f20(f19(c43))) ),
inference(forward_subsumption_resolution,[status(thm)],[f157,f64]) ).
fof(f162,plain,
~ p18(f19(f17(c43)),f20(f19(c43))),
inference(resolution,[status(thm)],[f159,f72]) ).
fof(f163,plain,
~ p27(c43),
inference(resolution,[status(thm)],[f162,f93]) ).
fof(f165,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f163,f64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN688-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n009.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 11:12:12 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.15/0.38 % Drodi V4.1.1
% 0.15/0.40 % Refutation found
% 0.15/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.43 % Elapsed time: 0.045616 seconds
% 0.15/0.43 % CPU time: 0.159596 seconds
% 0.15/0.43 % Total memory used: 58.848 MB
% 0.15/0.43 % Net memory used: 58.769 MB
%------------------------------------------------------------------------------