%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN596-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 03:16:53 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.37s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 13 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 40 ( 21 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 29 ( 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p10(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [X28] : p2(X28,X28),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
! [X1,X2,X0] :
( ~ p10(X0,X2)
| ~ p10(X0,X1)
| p10(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
p18(c20,f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
~ p18(c20,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
! [X24,X25,X27,X26] :
( ~ p10(X26,X25)
| ~ p2(X27,X24)
| ~ p18(X27,X26)
| p18(X24,X25) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
p10(f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24),f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,plain,
! [X0] : p10(X0,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f32,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f43,plain,
! [X2,X0] :
( ~ p10(X0,X2)
| ! [X1] :
( ~ p10(X0,X1)
| p10(X1,X2) ) ),
inference(miniscoping,[status(thm)],[f15]) ).
fof(f44,plain,
! [X0,X1,X2] :
( ~ p10(X2,X1)
| ~ p10(X2,X0)
| p10(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f53,plain,
p18(c20,f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f54,plain,
~ p18(c20,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f57,plain,
! [X25,X26] :
( ~ p10(X26,X25)
| ! [X24,X27] :
( ~ p2(X27,X24)
| ~ p18(X27,X26)
| p18(X24,X25) ) ),
inference(miniscoping,[status(thm)],[f23]) ).
fof(f58,plain,
! [X0,X1,X2,X3] :
( ~ p10(X3,X1)
| ~ p2(X2,X0)
| ~ p18(X2,X3)
| p18(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f67,plain,
p10(f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24),f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f81,plain,
! [X0,X1] :
( ~ p10(f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24),X1)
| ~ p2(c20,X0)
| p18(X0,X1) ),
inference(resolution,[status(thm)],[f58,f53]) ).
fof(f89,plain,
! [X0] :
( ~ p10(f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24),X0)
| p10(f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24),X0) ),
inference(resolution,[status(thm)],[f67,f44]) ).
fof(f93,plain,
! [X0] :
( ~ p10(f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24),X0)
| p18(c20,X0) ),
inference(resolution,[status(thm)],[f81,f32]) ).
fof(f95,plain,
p10(f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24),f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)),
inference(resolution,[status(thm)],[f89,f29]) ).
fof(f97,plain,
p18(c20,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)),
inference(resolution,[status(thm)],[f95,f93]) ).
fof(f100,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f97,f54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN596-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n016.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 11:14:23 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.37 % Refutation found
% 0.10/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.40 % Elapsed time: 0.035708 seconds
% 0.14/0.40 % CPU time: 0.072506 seconds
% 0.14/0.40 % Total memory used: 10.761 MB
% 0.14/0.40 % Net memory used: 10.731 MB
%------------------------------------------------------------------------------