%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN690-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 0.11s 0.41s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 14
% Syntax : Number of formulae : 45 ( 12 unt; 6 def)
% Number of atoms : 117 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 130 ( 58 ~; 66 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 11 ( 10 usr; 7 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 10 con; 0-2 aty)
% Number of variables : 56 ( 56 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f19,negated_conjecture,
p34(c36,c37),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
~ p2(c38,c40),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
! [X114] : p4(f5(c40,X114),f5(f7(c39,c40),X114)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
! [X113] : p4(f5(c38,X113),f5(f7(c39,c38),X113)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,negated_conjecture,
! [X103,X105,X104] :
( p35(f10(c37,f12(f14(f16(c41,X103),X104),X105)),X105)
| p4(f5(f7(c39,X103),X105),f5(f7(c39,X104),X105)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f58,negated_conjecture,
! [X103,X105,X104] :
( ~ p4(f5(X103,f12(f14(f16(c41,X103),X104),X105)),f5(X104,f12(f14(f16(c41,X103),X104),X105)))
| p4(f5(f7(c39,X103),X105),f5(f7(c39,X104),X105)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f61,negated_conjecture,
! [X31,X32,X33,X34,X35] :
( ~ p4(f5(X32,f18(f20(f22(f24(c45,X33),X34),X31),X32)),f5(f7(X34,X32),f18(f20(f22(f24(c45,X33),X34),X31),X32)))
| ~ p4(f5(X31,f18(f20(f22(f24(c45,X33),X34),X31),X32)),f5(f7(X34,X31),f18(f20(f22(f24(c45,X33),X34),X31),X32)))
| ~ p35(f10(X33,X35),f30(f32(c42,X33),X34))
| ~ p34(c36,X33)
| p4(f5(f26(f28(c43,X33),X34),X35),f5(f26(f28(c44,X33),X34),X35))
| p2(X31,X32) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f62,negated_conjecture,
! [X31,X32,X33,X34] :
( ~ p4(f5(f7(X34,f26(f28(c43,X33),X34)),f30(f32(c42,X33),X34)),f5(f7(X34,f26(f28(c44,X33),X34)),f30(f32(c42,X33),X34)))
| ~ p4(f5(X32,f18(f20(f22(f24(c45,X33),X34),X31),X32)),f5(f7(X34,X32),f18(f20(f22(f24(c45,X33),X34),X31),X32)))
| ~ p4(f5(X31,f18(f20(f22(f24(c45,X33),X34),X31),X32)),f5(f7(X34,X31),f18(f20(f22(f24(c45,X33),X34),X31),X32)))
| ~ p34(c36,X33)
| p2(X31,X32) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f81,plain,
p34(c36,c37),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f82,plain,
~ p2(c38,c40),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f83,plain,
! [X0] : p4(f5(c40,X0),f5(f7(c39,c40),X0)),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f84,plain,
! [X0] : p4(f5(c38,X0),f5(f7(c39,c38),X0)),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f153,plain,
! [X0,X1,X2] :
( p35(f10(c37,f12(f14(f16(c41,X0),X2),X1)),X1)
| p4(f5(f7(c39,X0),X1),f5(f7(c39,X2),X1)) ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f154,plain,
! [X0,X1,X2] :
( ~ p4(f5(X0,f12(f14(f16(c41,X0),X2),X1)),f5(X2,f12(f14(f16(c41,X0),X2),X1)))
| p4(f5(f7(c39,X0),X1),f5(f7(c39,X2),X1)) ),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f159,plain,
! [X31,X32,X33,X34] :
( ~ p4(f5(X32,f18(f20(f22(f24(c45,X33),X34),X31),X32)),f5(f7(X34,X32),f18(f20(f22(f24(c45,X33),X34),X31),X32)))
| ~ p4(f5(X31,f18(f20(f22(f24(c45,X33),X34),X31),X32)),f5(f7(X34,X31),f18(f20(f22(f24(c45,X33),X34),X31),X32)))
| ! [X35] :
( ~ p35(f10(X33,X35),f30(f32(c42,X33),X34))
| ~ p34(c36,X33)
| p4(f5(f26(f28(c43,X33),X34),X35),f5(f26(f28(c44,X33),X34),X35))
| p2(X31,X32) ) ),
inference(miniscoping,[status(thm)],[f61]) ).
fof(f160,plain,
! [X0,X1,X2,X3,X4] :
( ~ p4(f5(X1,f18(f20(f22(f24(c45,X2),X3),X0),X1)),f5(f7(X3,X1),f18(f20(f22(f24(c45,X2),X3),X0),X1)))
| ~ p4(f5(X0,f18(f20(f22(f24(c45,X2),X3),X0),X1)),f5(f7(X3,X0),f18(f20(f22(f24(c45,X2),X3),X0),X1)))
| ~ p35(f10(X2,X4),f30(f32(c42,X2),X3))
| ~ p34(c36,X2)
| p4(f5(f26(f28(c43,X2),X3),X4),f5(f26(f28(c44,X2),X3),X4))
| p2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f159]) ).
fof(f161,plain,
! [X33,X34] :
( ~ p4(f5(f7(X34,f26(f28(c43,X33),X34)),f30(f32(c42,X33),X34)),f5(f7(X34,f26(f28(c44,X33),X34)),f30(f32(c42,X33),X34)))
| ! [X31,X32] :
( ~ p4(f5(X32,f18(f20(f22(f24(c45,X33),X34),X31),X32)),f5(f7(X34,X32),f18(f20(f22(f24(c45,X33),X34),X31),X32)))
| ~ p4(f5(X31,f18(f20(f22(f24(c45,X33),X34),X31),X32)),f5(f7(X34,X31),f18(f20(f22(f24(c45,X33),X34),X31),X32)))
| ~ p34(c36,X33)
| p2(X31,X32) ) ),
inference(miniscoping,[status(thm)],[f62]) ).
fof(f162,plain,
! [X0,X1,X2,X3] :
( ~ p4(f5(f7(X3,f26(f28(c43,X2),X3)),f30(f32(c42,X2),X3)),f5(f7(X3,f26(f28(c44,X2),X3)),f30(f32(c42,X2),X3)))
| ~ p4(f5(X1,f18(f20(f22(f24(c45,X2),X3),X0),X1)),f5(f7(X3,X1),f18(f20(f22(f24(c45,X2),X3),X0),X1)))
| ~ p4(f5(X0,f18(f20(f22(f24(c45,X2),X3),X0),X1)),f5(f7(X3,X0),f18(f20(f22(f24(c45,X2),X3),X0),X1)))
| ~ p34(c36,X2)
| p2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f161]) ).
fof(f183,plain,
! [X0,X1,X2] :
( ~ p4(f5(f7(X2,f26(f28(c43,c37),X2)),f30(f32(c42,c37),X2)),f5(f7(X2,f26(f28(c44,c37),X2)),f30(f32(c42,c37),X2)))
| ~ p4(f5(X1,f18(f20(f22(f24(c45,c37),X2),X0),X1)),f5(f7(X2,X1),f18(f20(f22(f24(c45,c37),X2),X0),X1)))
| ~ p4(f5(X0,f18(f20(f22(f24(c45,c37),X2),X0),X1)),f5(f7(X2,X0),f18(f20(f22(f24(c45,c37),X2),X0),X1)))
| p2(X0,X1) ),
inference(resolution,[status(thm)],[f162,f81]) ).
fof(f187,plain,
! [X0,X1] :
( ~ p4(f5(f26(f28(c43,c37),c39),f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))),f5(f26(f28(c44,c37),c39),f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))))
| ~ p4(f5(X1,f18(f20(f22(f24(c45,c37),c39),X0),X1)),f5(f7(c39,X1),f18(f20(f22(f24(c45,c37),c39),X0),X1)))
| ~ p4(f5(X0,f18(f20(f22(f24(c45,c37),c39),X0),X1)),f5(f7(c39,X0),f18(f20(f22(f24(c45,c37),c39),X0),X1)))
| p2(X0,X1) ),
inference(resolution,[status(thm)],[f183,f154]) ).
fof(f188,plain,
! [X0,X1] :
( p35(f10(c37,f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))),f30(f32(c42,c37),c39))
| ~ p4(f5(X1,f18(f20(f22(f24(c45,c37),c39),X0),X1)),f5(f7(c39,X1),f18(f20(f22(f24(c45,c37),c39),X0),X1)))
| ~ p4(f5(X0,f18(f20(f22(f24(c45,c37),c39),X0),X1)),f5(f7(c39,X0),f18(f20(f22(f24(c45,c37),c39),X0),X1)))
| p2(X0,X1) ),
inference(resolution,[status(thm)],[f183,f153]) ).
fof(f191,definition,
! [X0,X1] :
( sQ0_spl
<=> ( ~ p4(f5(X1,f18(f20(f22(f24(c45,c37),c39),X0),X1)),f5(f7(c39,X1),f18(f20(f22(f24(c45,c37),c39),X0),X1)))
| ~ p4(f5(X0,f18(f20(f22(f24(c45,c37),c39),X0),X1)),f5(f7(c39,X0),f18(f20(f22(f24(c45,c37),c39),X0),X1)))
| p2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f192,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ p4(f5(X1,f18(f20(f22(f24(c45,c37),c39),X0),X1)),f5(f7(c39,X1),f18(f20(f22(f24(c45,c37),c39),X0),X1)))
| ~ p4(f5(X0,f18(f20(f22(f24(c45,c37),c39),X0),X1)),f5(f7(c39,X0),f18(f20(f22(f24(c45,c37),c39),X0),X1)))
| p2(X0,X1) ),
inference(component_clause,[status(thm)],[f191]) ).
fof(f194,definition,
( sQ1_spl
<=> p4(f5(f26(f28(c43,c37),c39),f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))),f5(f26(f28(c44,c37),c39),f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39)))) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f196,plain,
( sQ1_spl
| ~ p4(f5(f26(f28(c43,c37),c39),f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))),f5(f26(f28(c44,c37),c39),f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39)))) ),
inference(component_clause,[status(thm)],[f194]) ).
fof(f197,plain,
( ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f187,f191,f194]) ).
fof(f198,definition,
( sQ2_spl
<=> p35(f10(c37,f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))),f30(f32(c42,c37),c39)) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f201,plain,
( sQ2_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f188,f191,f198]) ).
fof(f242,plain,
( ~ sQ0_spl
| ~ p4(f5(c40,f18(f20(f22(f24(c45,c37),c39),c38),c40)),f5(f7(c39,c40),f18(f20(f22(f24(c45,c37),c39),c38),c40)))
| ~ p4(f5(c38,f18(f20(f22(f24(c45,c37),c39),c38),c40)),f5(f7(c39,c38),f18(f20(f22(f24(c45,c37),c39),c38),c40))) ),
inference(resolution,[status(thm)],[f192,f82]) ).
fof(f249,definition,
( sQ5_spl
<=> p4(f5(c38,f18(f20(f22(f24(c45,c37),c39),c38),c40)),f5(f7(c39,c38),f18(f20(f22(f24(c45,c37),c39),c38),c40))) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f251,plain,
( sQ5_spl
| ~ p4(f5(c38,f18(f20(f22(f24(c45,c37),c39),c38),c40)),f5(f7(c39,c38),f18(f20(f22(f24(c45,c37),c39),c38),c40))) ),
inference(component_clause,[status(thm)],[f249]) ).
fof(f252,definition,
( sQ6_spl
<=> p4(f5(c40,f18(f20(f22(f24(c45,c37),c39),c38),c40)),f5(f7(c39,c40),f18(f20(f22(f24(c45,c37),c39),c38),c40))) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f254,plain,
( sQ6_spl
| ~ p4(f5(c40,f18(f20(f22(f24(c45,c37),c39),c38),c40)),f5(f7(c39,c40),f18(f20(f22(f24(c45,c37),c39),c38),c40))) ),
inference(component_clause,[status(thm)],[f252]) ).
fof(f255,plain,
( ~ sQ0_spl
| ~ sQ6_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f242,f249,f252,f191]) ).
fof(f256,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f251,f84]) ).
fof(f257,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f256]) ).
fof(f273,plain,
! [X0,X1] :
( sQ1_spl
| ~ p4(f5(X1,f18(f20(f22(f24(c45,c37),c39),X0),X1)),f5(f7(c39,X1),f18(f20(f22(f24(c45,c37),c39),X0),X1)))
| ~ p4(f5(X0,f18(f20(f22(f24(c45,c37),c39),X0),X1)),f5(f7(c39,X0),f18(f20(f22(f24(c45,c37),c39),X0),X1)))
| ~ p35(f10(c37,f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))),f30(f32(c42,c37),c39))
| ~ p34(c36,c37)
| p2(X0,X1) ),
inference(resolution,[status(thm)],[f196,f160]) ).
fof(f276,definition,
( sQ7_spl
<=> p34(c36,c37) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f278,plain,
( sQ7_spl
| ~ p34(c36,c37) ),
inference(component_clause,[status(thm)],[f276]) ).
fof(f279,plain,
( sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f273,f191,f276,f198,f194]) ).
fof(f287,plain,
( sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f278,f81]) ).
fof(f288,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f287]) ).
fof(f289,plain,
( sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f254,f83]) ).
fof(f290,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f289]) ).
fof(f291,plain,
$false,
inference(sat_refutation,[status(thm)],[f197,f201,f255,f257,f279,f288,f290]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN690-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n018.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 11:14:14 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 % Drodi V4.1.1
% 0.11/0.41 % Refutation found
% 0.11/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.44 % Elapsed time: 0.061128 seconds
% 0.11/0.44 % CPU time: 0.273886 seconds
% 0.11/0.44 % Total memory used: 21.628 MB
% 0.11/0.44 % Net memory used: 21.206 MB
%------------------------------------------------------------------------------