%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN687-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 0.14s 0.44s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 22 ( 7 unt; 0 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 46 ( 18 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 8 con; 0-2 aty)
% Number of variables : 49 ( 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f19,negated_conjecture,
p34(c36,c37),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,negated_conjecture,
! [X130] : ~ p4(f5(X130,f7(c38,X130)),f5(f9(c39,X130),f7(c38,X130))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f55,negated_conjecture,
! [X106,X108,X107] :
( p35(f12(c37,f14(f16(f18(c40,X106),X107),X108)),X108)
| p4(f5(f9(c39,X106),X108),f5(f9(c39,X107),X108)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f56,negated_conjecture,
! [X106,X108,X107] :
( ~ p4(f5(X106,f14(f16(f18(c40,X106),X107),X108)),f5(X107,f14(f16(f18(c40,X106),X107),X108)))
| p4(f5(f9(c39,X106),X108),f5(f9(c39,X107),X108)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f57,negated_conjecture,
! [X116,X117,X118,X119] :
( ~ p35(f12(X116,X118),f30(f32(c45,X116),X117))
| ~ p34(c36,X116)
| p4(f5(f26(f28(c46,X116),X117),X119),f5(f9(X117,f26(f28(c46,X116),X117)),X119))
| p4(f5(f26(f28(c46,X116),X117),X118),f5(f26(f28(c47,X116),X117),X118)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f58,negated_conjecture,
! [X116,X117,X119] :
( ~ p4(f5(f9(X117,f26(f28(c46,X116),X117)),f30(f32(c45,X116),X117)),f5(f9(X117,f26(f28(c47,X116),X117)),f30(f32(c45,X116),X117)))
| ~ p34(c36,X116)
| p4(f5(f26(f28(c46,X116),X117),X119),f5(f9(X117,f26(f28(c46,X116),X117)),X119)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f79,plain,
p34(c36,c37),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f120,plain,
! [X0] : ~ p4(f5(X0,f7(c38,X0)),f5(f9(c39,X0),f7(c38,X0))),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f149,plain,
! [X0,X1,X2] :
( p35(f12(c37,f14(f16(f18(c40,X0),X2),X1)),X1)
| p4(f5(f9(c39,X0),X1),f5(f9(c39,X2),X1)) ),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f150,plain,
! [X0,X1,X2] :
( ~ p4(f5(X0,f14(f16(f18(c40,X0),X2),X1)),f5(X2,f14(f16(f18(c40,X0),X2),X1)))
| p4(f5(f9(c39,X0),X1),f5(f9(c39,X2),X1)) ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f151,plain,
! [X116,X117,X118] :
( ~ p35(f12(X116,X118),f30(f32(c45,X116),X117))
| ~ p34(c36,X116)
| ! [X119] : p4(f5(f26(f28(c46,X116),X117),X119),f5(f9(X117,f26(f28(c46,X116),X117)),X119))
| p4(f5(f26(f28(c46,X116),X117),X118),f5(f26(f28(c47,X116),X117),X118)) ),
inference(miniscoping,[status(thm)],[f57]) ).
fof(f152,plain,
! [X0,X1,X2,X3] :
( ~ p35(f12(X0,X2),f30(f32(c45,X0),X1))
| ~ p34(c36,X0)
| p4(f5(f26(f28(c46,X0),X1),X3),f5(f9(X1,f26(f28(c46,X0),X1)),X3))
| p4(f5(f26(f28(c46,X0),X1),X2),f5(f26(f28(c47,X0),X1),X2)) ),
inference(cnf_transformation,[status(thm)],[f151]) ).
fof(f153,plain,
! [X116,X117] :
( ~ p4(f5(f9(X117,f26(f28(c46,X116),X117)),f30(f32(c45,X116),X117)),f5(f9(X117,f26(f28(c47,X116),X117)),f30(f32(c45,X116),X117)))
| ~ p34(c36,X116)
| ! [X119] : p4(f5(f26(f28(c46,X116),X117),X119),f5(f9(X117,f26(f28(c46,X116),X117)),X119)) ),
inference(miniscoping,[status(thm)],[f58]) ).
fof(f154,plain,
! [X0,X1,X2] :
( ~ p4(f5(f9(X1,f26(f28(c46,X0),X1)),f30(f32(c45,X0),X1)),f5(f9(X1,f26(f28(c47,X0),X1)),f30(f32(c45,X0),X1)))
| ~ p34(c36,X0)
| p4(f5(f26(f28(c46,X0),X1),X2),f5(f9(X1,f26(f28(c46,X0),X1)),X2)) ),
inference(cnf_transformation,[status(thm)],[f153]) ).
fof(f212,plain,
! [X0,X1,X2,X3] :
( p4(f5(f9(c39,X1),f30(f32(c45,c37),X0)),f5(f9(c39,X2),f30(f32(c45,c37),X0)))
| ~ p34(c36,c37)
| p4(f5(f26(f28(c46,c37),X0),X3),f5(f9(X0,f26(f28(c46,c37),X0)),X3))
| p4(f5(f26(f28(c46,c37),X0),f14(f16(f18(c40,X1),X2),f30(f32(c45,c37),X0))),f5(f26(f28(c47,c37),X0),f14(f16(f18(c40,X1),X2),f30(f32(c45,c37),X0)))) ),
inference(resolution,[status(thm)],[f152,f149]) ).
fof(f213,plain,
! [X0,X1,X2,X3] :
( p4(f5(f9(c39,X1),f30(f32(c45,c37),X0)),f5(f9(c39,X2),f30(f32(c45,c37),X0)))
| p4(f5(f26(f28(c46,c37),X0),X3),f5(f9(X0,f26(f28(c46,c37),X0)),X3))
| p4(f5(f26(f28(c46,c37),X0),f14(f16(f18(c40,X1),X2),f30(f32(c45,c37),X0))),f5(f26(f28(c47,c37),X0),f14(f16(f18(c40,X1),X2),f30(f32(c45,c37),X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[f212,f79]) ).
fof(f216,plain,
! [X0,X1] :
( p4(f5(f9(c39,f26(f28(c46,c37),X0)),f30(f32(c45,c37),X0)),f5(f9(c39,f26(f28(c47,c37),X0)),f30(f32(c45,c37),X0)))
| p4(f5(f9(c39,f26(f28(c46,c37),X0)),f30(f32(c45,c37),X0)),f5(f9(c39,f26(f28(c47,c37),X0)),f30(f32(c45,c37),X0)))
| p4(f5(f26(f28(c46,c37),X0),X1),f5(f9(X0,f26(f28(c46,c37),X0)),X1)) ),
inference(resolution,[status(thm)],[f213,f150]) ).
fof(f221,plain,
! [X0,X1] :
( p4(f5(f9(c39,f26(f28(c46,c37),X0)),f30(f32(c45,c37),X0)),f5(f9(c39,f26(f28(c47,c37),X0)),f30(f32(c45,c37),X0)))
| p4(f5(f26(f28(c46,c37),X0),X1),f5(f9(X0,f26(f28(c46,c37),X0)),X1)) ),
inference(duplicate_literals_removal,[status(thm)],[f216]) ).
fof(f223,plain,
p4(f5(f9(c39,f26(f28(c46,c37),c39)),f30(f32(c45,c37),c39)),f5(f9(c39,f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39))),
inference(resolution,[status(thm)],[f221,f120]) ).
fof(f228,plain,
! [X0] :
( ~ p34(c36,c37)
| p4(f5(f26(f28(c46,c37),c39),X0),f5(f9(c39,f26(f28(c46,c37),c39)),X0)) ),
inference(resolution,[status(thm)],[f223,f154]) ).
fof(f230,plain,
! [X0] : p4(f5(f26(f28(c46,c37),c39),X0),f5(f9(c39,f26(f28(c46,c37),c39)),X0)),
inference(forward_subsumption_resolution,[status(thm)],[f228,f79]) ).
fof(f232,plain,
$false,
inference(resolution,[status(thm)],[f230,f120]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN687-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n008.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 11:12:54 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.14/0.39 % Drodi V4.1.1
% 0.14/0.44 % Refutation found
% 0.14/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.45 % Elapsed time: 0.065372 seconds
% 0.14/0.45 % CPU time: 0.371030 seconds
% 0.14/0.45 % Total memory used: 23.057 MB
% 0.14/0.45 % Net memory used: 22.344 MB
%------------------------------------------------------------------------------