%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN627-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.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 03:16:57 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.40s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 16
% Syntax : Number of formulae : 62 ( 16 unt; 4 def)
% Number of atoms : 136 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 156 ( 82 ~; 70 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 5 prp; 0-5 aty)
% Number of functors : 14 ( 14 usr; 9 con; 0-2 aty)
% Number of variables : 76 ( 76 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,negated_conjecture,
! [X40] : p3(X40,X40),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [X33] : p2(X33,X33),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
p15(c18,c19),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
~ p3(c23,c24),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
p3(c23,f4(f7(c17,c18),c21)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
p16(c17,c20,f9(c19,c18),c21,c22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
! [X41,X42,X40] :
( ~ p3(X40,X42)
| ~ p3(X40,X41)
| p3(X41,X42) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
! [X32] :
( ~ p15(X32,c19)
| p3(c24,f4(f7(c17,X32),f14(X32))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
! [X31] :
( ~ p15(X31,c19)
| p16(c17,c20,f9(c19,X31),f13(X31),c22) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
! [X32] :
( ~ p15(X32,c19)
| p16(c17,c20,f9(c19,X32),f14(X32),c25) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
! [X57,X58,X59,X60] :
( ~ p3(X58,X60)
| ~ p2(X57,X59)
| p3(f4(X57,X58),f4(X59,X60)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
! [X5,X6,X4,X3] :
( ~ p16(c17,c20,X4,X5,c22)
| ~ p16(c17,c20,X4,X6,X3)
| p3(X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,plain,
! [X0] : p3(X0,X0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f42,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f43,plain,
p15(c18,c19),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f44,plain,
~ p3(c23,c24),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f45,plain,
p3(c23,f4(f7(c17,c18),c21)),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f46,plain,
p16(c17,c20,f9(c19,c18),c21,c22),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f58,plain,
! [X42,X40] :
( ~ p3(X40,X42)
| ! [X41] :
( ~ p3(X40,X41)
| p3(X41,X42) ) ),
inference(miniscoping,[status(thm)],[f18]) ).
fof(f59,plain,
! [X0,X1,X2] :
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f62,plain,
! [X0] :
( ~ p15(X0,c19)
| p3(c24,f4(f7(c17,X0),f14(X0))) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f64,plain,
! [X0] :
( ~ p15(X0,c19)
| p16(c17,c20,f9(c19,X0),f13(X0),c22) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f65,plain,
! [X0] :
( ~ p15(X0,c19)
| p16(c17,c20,f9(c19,X0),f14(X0),c25) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f72,plain,
! [X58,X60] :
( ~ p3(X58,X60)
| ! [X57,X59] :
( ~ p2(X57,X59)
| p3(f4(X57,X58),f4(X59,X60)) ) ),
inference(miniscoping,[status(thm)],[f27]) ).
fof(f73,plain,
! [X0,X1,X2,X3] :
( ~ p3(X1,X3)
| ~ p2(X0,X2)
| p3(f4(X0,X1),f4(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f74,plain,
! [X5,X4] :
( ~ p16(c17,c20,X4,X5,c22)
| ! [X6] :
( ! [X3] : ~ p16(c17,c20,X4,X6,X3)
| p3(X5,X6) ) ),
inference(miniscoping,[status(thm)],[f28]) ).
fof(f75,plain,
! [X0,X1,X2,X3] :
( ~ p16(c17,c20,X2,X0,c22)
| ~ p16(c17,c20,X2,X1,X3)
| p3(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f99,plain,
! [X0] :
( ~ p3(X0,c24)
| ~ p3(X0,c23) ),
inference(resolution,[status(thm)],[f59,f44]) ).
fof(f100,plain,
! [X0,X1] :
( ~ p3(X1,c24)
| ~ p3(X1,X0)
| ~ p3(X0,c23) ),
inference(resolution,[status(thm)],[f99,f59]) ).
fof(f103,plain,
! [X0,X1,X2] :
( ~ p3(X2,c24)
| ~ p3(X2,X1)
| ~ p3(X1,X0)
| ~ p3(X0,c23) ),
inference(resolution,[status(thm)],[f100,f59]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( ~ p3(X3,c24)
| ~ p3(X3,X2)
| ~ p3(X2,X1)
| ~ p3(X1,X0)
| ~ p3(X0,c23) ),
inference(resolution,[status(thm)],[f103,f59]) ).
fof(f115,plain,
! [X0,X1,X2] :
( ~ p3(c24,X2)
| ~ p3(X2,X1)
| ~ p3(X1,X0)
| ~ p3(X0,c23) ),
inference(resolution,[status(thm)],[f107,f41]) ).
fof(f116,plain,
! [X0,X1,X2,X3] :
( ~ p3(X3,c23)
| ~ p3(X3,X1)
| ~ p3(c24,X2)
| ~ p3(X2,X0)
| ~ p3(X0,X1) ),
inference(resolution,[status(thm)],[f115,f59]) ).
fof(f119,plain,
! [X0,X1,X2] :
( ~ p3(c23,X1)
| ~ p3(c24,X2)
| ~ p3(X2,X0)
| ~ p3(X0,X1) ),
inference(resolution,[status(thm)],[f116,f41]) ).
fof(f122,plain,
! [X0,X1] :
( ~ p3(c23,X1)
| ~ p3(c24,X0)
| ~ p3(X0,X1) ),
inference(resolution,[status(thm)],[f119,f41]) ).
fof(f124,plain,
! [X0,X1,X2] :
( ~ p15(X0,c19)
| ~ p16(c17,c20,f9(c19,X0),X1,X2)
| p3(f13(X0),X1) ),
inference(resolution,[status(thm)],[f75,f64]) ).
fof(f125,plain,
! [X0,X1] :
( ~ p15(X0,c19)
| ~ p3(c23,X1)
| ~ p3(f4(f7(c17,X0),f14(X0)),X1) ),
inference(resolution,[status(thm)],[f122,f62]) ).
fof(f141,definition,
( sQ3_spl
<=> p15(c18,c19) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f143,plain,
( sQ3_spl
| ~ p15(c18,c19) ),
inference(component_clause,[status(thm)],[f141]) ).
fof(f149,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f143,f43]) ).
fof(f150,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f149]) ).
fof(f164,plain,
! [X0] :
( ~ p3(c23,X0)
| ~ p3(f4(f7(c17,c18),f14(c18)),X0) ),
inference(resolution,[status(thm)],[f125,f43]) ).
fof(f166,plain,
! [X0,X1] :
( ~ p3(f14(c18),X1)
| ~ p2(f7(c17,c18),X0)
| ~ p3(c23,f4(X0,X1)) ),
inference(resolution,[status(thm)],[f164,f73]) ).
fof(f169,plain,
! [X0,X1] :
( ~ p16(c17,c20,f9(c19,c18),X0,X1)
| p3(f13(c18),X0) ),
inference(resolution,[status(thm)],[f124,f43]) ).
fof(f171,plain,
p3(f13(c18),c21),
inference(resolution,[status(thm)],[f169,f46]) ).
fof(f172,plain,
( ~ p15(c18,c19)
| p3(f13(c18),f14(c18)) ),
inference(resolution,[status(thm)],[f169,f65]) ).
fof(f174,definition,
( sQ5_spl
<=> p3(f13(c18),f14(c18)) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f175,plain,
( ~ sQ5_spl
| p3(f13(c18),f14(c18)) ),
inference(component_clause,[status(thm)],[f174]) ).
fof(f177,plain,
( ~ sQ3_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f172,f174,f141]) ).
fof(f192,plain,
( ~ p3(f14(c18),c21)
| ~ p2(f7(c17,c18),f7(c17,c18)) ),
inference(resolution,[status(thm)],[f166,f45]) ).
fof(f195,definition,
( sQ7_spl
<=> p2(f7(c17,c18),f7(c17,c18)) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f197,plain,
( sQ7_spl
| ~ p2(f7(c17,c18),f7(c17,c18)) ),
inference(component_clause,[status(thm)],[f195]) ).
fof(f198,definition,
( sQ8_spl
<=> p3(f14(c18),c21) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f200,plain,
( sQ8_spl
| ~ p3(f14(c18),c21) ),
inference(component_clause,[status(thm)],[f198]) ).
fof(f201,plain,
( ~ sQ8_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f192,f195,f198]) ).
fof(f202,plain,
( sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f197,f42]) ).
fof(f203,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f202]) ).
fof(f204,plain,
! [X0] :
( sQ8_spl
| ~ p3(X0,c21)
| ~ p3(X0,f14(c18)) ),
inference(resolution,[status(thm)],[f200,f59]) ).
fof(f205,plain,
( sQ8_spl
| ~ p3(f13(c18),f14(c18)) ),
inference(resolution,[status(thm)],[f204,f171]) ).
fof(f208,plain,
( sQ8_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f205,f175]) ).
fof(f209,plain,
( sQ8_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f208]) ).
fof(f210,plain,
$false,
inference(sat_refutation,[status(thm)],[f150,f177,f201,f203,f209]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN627-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n002.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 11:13:16 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.42 % Elapsed time: 0.051873 seconds
% 0.13/0.42 % CPU time: 0.171324 seconds
% 0.13/0.42 % Total memory used: 18.407 MB
% 0.13/0.42 % Net memory used: 18.153 MB
%------------------------------------------------------------------------------