%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN686-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : 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 03:17:05 PM UTC 2026
% Result : Unsatisfiable 0.03s 0.31s
% Output : CNFRefutation 0.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 18
% Syntax : Number of formulae : 61 ( 20 unt; 5 def)
% Number of atoms : 128 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 130 ( 63 ~; 62 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 6 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 70 ( 70 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p11(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [X81] : p4(X81,X81),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
! [X27] : p2(X27,X27),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
p3(c36,f7(c33,c34)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
p4(f5(c32,c36),c37),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
p4(f5(c32,f7(c33,c34)),c35),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
p30(f10(f12(c39,c36),c37),c41),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
~ p30(f10(f12(c39,f7(c33,c34)),c35),c41),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
! [X82,X83,X81] :
( ~ p4(X81,X83)
| ~ p4(X81,X82)
| p4(X82,X83) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,negated_conjecture,
! [X68,X69,X71,X70] :
( ~ p30(X70,X71)
| ~ p9(X70,X68)
| ~ p4(X71,X69)
| p30(X68,X69) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,negated_conjecture,
! [X105,X106,X107,X108] :
( ~ p8(X105,X107)
| ~ p4(X106,X108)
| p9(f10(X105,X106),f10(X107,X108)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f50,negated_conjecture,
! [X84,X85,X86,X87] :
( ~ p3(X85,X87)
| ~ p2(X84,X86)
| p4(f5(X84,X85),f5(X86,X87)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f51,negated_conjecture,
! [X94,X95,X96,X97] :
( ~ p3(X95,X97)
| ~ p11(X94,X96)
| p8(f12(X94,X95),f12(X96,X97)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f59,plain,
! [X0] : p11(X0,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f63,plain,
! [X0] : p4(X0,X0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f70,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f75,plain,
p3(c36,f7(c33,c34)),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f77,plain,
p4(f5(c32,c36),c37),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f78,plain,
p4(f5(c32,f7(c33,c34)),c35),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f79,plain,
p30(f10(f12(c39,c36),c37),c41),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f80,plain,
~ p30(f10(f12(c39,f7(c33,c34)),c35),c41),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f89,plain,
! [X83,X81] :
( ~ p4(X81,X83)
| ! [X82] :
( ~ p4(X81,X82)
| p4(X82,X83) ) ),
inference(miniscoping,[status(thm)],[f27]) ).
fof(f90,plain,
! [X0,X1,X2] :
( ~ p4(X2,X1)
| ~ p4(X2,X0)
| p4(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f89]) ).
fof(f113,plain,
! [X71,X70] :
( ~ p30(X70,X71)
| ! [X68] :
( ~ p9(X70,X68)
| ! [X69] :
( ~ p4(X71,X69)
| p30(X68,X69) ) ) ),
inference(miniscoping,[status(thm)],[f39]) ).
fof(f114,plain,
! [X0,X1,X2,X3] :
( ~ p30(X3,X2)
| ~ p9(X3,X0)
| ~ p4(X2,X1)
| p30(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f117,plain,
! [X105,X107] :
( ~ p8(X105,X107)
| ! [X106,X108] :
( ~ p4(X106,X108)
| p9(f10(X105,X106),f10(X107,X108)) ) ),
inference(miniscoping,[status(thm)],[f41]) ).
fof(f118,plain,
! [X0,X1,X2,X3] :
( ~ p8(X0,X2)
| ~ p4(X1,X3)
| p9(f10(X0,X1),f10(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f117]) ).
fof(f135,plain,
! [X85,X87] :
( ~ p3(X85,X87)
| ! [X84,X86] :
( ~ p2(X84,X86)
| p4(f5(X84,X85),f5(X86,X87)) ) ),
inference(miniscoping,[status(thm)],[f50]) ).
fof(f136,plain,
! [X0,X1,X2,X3] :
( ~ p3(X1,X3)
| ~ p2(X0,X2)
| p4(f5(X0,X1),f5(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f135]) ).
fof(f137,plain,
! [X95,X97] :
( ~ p3(X95,X97)
| ! [X94,X96] :
( ~ p11(X94,X96)
| p8(f12(X94,X95),f12(X96,X97)) ) ),
inference(miniscoping,[status(thm)],[f51]) ).
fof(f138,plain,
! [X0,X1,X2,X3] :
( ~ p3(X1,X3)
| ~ p11(X0,X2)
| p8(f12(X0,X1),f12(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f137]) ).
fof(f149,plain,
! [X0,X1] :
( ~ p9(f10(f12(c39,c36),c37),X0)
| ~ p4(c41,X1)
| p30(X0,X1) ),
inference(resolution,[status(thm)],[f114,f79]) ).
fof(f151,plain,
! [X0] :
( ~ p9(f10(f12(c39,c36),c37),X0)
| p30(X0,c41) ),
inference(resolution,[status(thm)],[f149,f63]) ).
fof(f152,plain,
! [X0,X1] :
( ~ p8(f12(c39,c36),X0)
| ~ p4(c37,X1)
| p30(f10(X0,X1),c41) ),
inference(resolution,[status(thm)],[f151,f118]) ).
fof(f155,plain,
( ~ p8(f12(c39,c36),f12(c39,f7(c33,c34)))
| ~ p4(c37,c35) ),
inference(resolution,[status(thm)],[f152,f80]) ).
fof(f157,definition,
( sQ0_spl
<=> p4(c37,c35) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f159,plain,
( sQ0_spl
| ~ p4(c37,c35) ),
inference(component_clause,[status(thm)],[f157]) ).
fof(f160,definition,
( sQ1_spl
<=> p8(f12(c39,c36),f12(c39,f7(c33,c34))) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f162,plain,
( sQ1_spl
| ~ p8(f12(c39,c36),f12(c39,f7(c33,c34))) ),
inference(component_clause,[status(thm)],[f160]) ).
fof(f163,plain,
( ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f155,f157,f160]) ).
fof(f164,plain,
! [X0] :
( sQ0_spl
| ~ p4(X0,c35)
| ~ p4(X0,c37) ),
inference(resolution,[status(thm)],[f159,f90]) ).
fof(f165,plain,
( sQ0_spl
| ~ p4(f5(c32,f7(c33,c34)),c37) ),
inference(resolution,[status(thm)],[f164,f78]) ).
fof(f177,plain,
! [X0] :
( sQ0_spl
| ~ p4(X0,c37)
| ~ p4(X0,f5(c32,f7(c33,c34))) ),
inference(resolution,[status(thm)],[f165,f90]) ).
fof(f183,plain,
( sQ0_spl
| ~ p4(f5(c32,c36),f5(c32,f7(c33,c34))) ),
inference(resolution,[status(thm)],[f177,f77]) ).
fof(f195,plain,
( sQ0_spl
| ~ p3(c36,f7(c33,c34))
| ~ p2(c32,c32) ),
inference(resolution,[status(thm)],[f183,f136]) ).
fof(f197,definition,
( sQ4_spl
<=> p2(c32,c32) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f199,plain,
( sQ4_spl
| ~ p2(c32,c32) ),
inference(component_clause,[status(thm)],[f197]) ).
fof(f200,definition,
( sQ5_spl
<=> p3(c36,f7(c33,c34)) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f202,plain,
( sQ5_spl
| ~ p3(c36,f7(c33,c34)) ),
inference(component_clause,[status(thm)],[f200]) ).
fof(f203,plain,
( sQ0_spl
| ~ sQ5_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f195,f197,f200,f157]) ).
fof(f204,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f202,f75]) ).
fof(f205,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f204]) ).
fof(f206,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f199,f70]) ).
fof(f207,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f206]) ).
fof(f211,plain,
( sQ1_spl
| ~ p3(c36,f7(c33,c34))
| ~ p11(c39,c39) ),
inference(resolution,[status(thm)],[f162,f138]) ).
fof(f213,definition,
( sQ6_spl
<=> p11(c39,c39) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f215,plain,
( sQ6_spl
| ~ p11(c39,c39) ),
inference(component_clause,[status(thm)],[f213]) ).
fof(f216,plain,
( sQ1_spl
| ~ sQ5_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f211,f213,f200,f160]) ).
fof(f217,plain,
( sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f215,f59]) ).
fof(f218,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f217]) ).
fof(f219,plain,
$false,
inference(sat_refutation,[status(thm)],[f163,f203,f205,f207,f216,f218]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN686-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.02 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Mon Sep 21 11:12:08 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 % Drodi V4.1.1
% 0.03/0.31 % Refutation found
% 0.03/0.31 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.03/0.31 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.03/0.32 % Elapsed time: 0.018726 seconds
% 0.03/0.32 % CPU time: 0.039330 seconds
% 0.03/0.32 % Total memory used: 4.307 MB
% 0.03/0.32 % Net memory used: 4.286 MB
%------------------------------------------------------------------------------