%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN615-1 : 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 03:16:55 PM UTC 2026
% Result : Unsatisfiable 1.52s 0.72s
% Output : CNFRefutation 1.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 19
% Syntax : Number of formulae : 68 ( 18 unt; 8 def)
% Number of atoms : 154 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 171 ( 85 ~; 78 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of predicates : 13 ( 12 usr; 9 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 8 con; 0-2 aty)
% Number of variables : 62 ( 62 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X43] : p7(X43,X43),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
p2(c26,f3(c22)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
p19(c23,f3(f4(f5(c22)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
p20(c24,f6(f3(f4(f5(c22))),c21)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
p2(c26,f14(f16(c28,f17(c21,c27)),c25)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
! [X44,X45,X43] :
( ~ p7(X43,X45)
| ~ p7(X43,X44)
| p7(X44,X45) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
! [X19,X20,X18] :
( ~ p2(X18,X20)
| ~ p2(X18,X19)
| p2(X19,X20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
! [X54,X55,X56,X57] :
( ~ p7(X55,X57)
| ~ p7(X54,X56)
| p7(f8(X54,X55),f8(X56,X57)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
! [X46,X47,X48,X49] :
( ~ p7(X46,X48)
| ~ p2(X47,X49)
| p7(f10(X46,X47),f10(X48,X49)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
p7(c25,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
! [X62,X63] :
( ~ p7(c25,f8(f10(f12(f11(f3(f5(c22)))),X62),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(X63),f10(f11(f3(f4(f5(c22)))),c27)))))
| ~ p2(f14(f16(c28,f17(c21,c27)),c25),f3(c22))
| ~ p20(X63,f6(f3(f4(f5(c22))),c21))
| ~ p19(X62,f3(f4(f5(c22)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,plain,
! [X0] : p7(X0,X0),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f36,plain,
p2(c26,f3(c22)),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f38,plain,
p19(c23,f3(f4(f5(c22)))),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f39,plain,
p20(c24,f6(f3(f4(f5(c22))),c21)),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f45,plain,
p2(c26,f14(f16(c28,f17(c21,c27)),c25)),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f48,plain,
! [X45,X43] :
( ~ p7(X43,X45)
| ! [X44] :
( ~ p7(X43,X44)
| p7(X44,X45) ) ),
inference(miniscoping,[status(thm)],[f16]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ~ p7(X2,X1)
| ~ p7(X2,X0)
| p7(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f50,plain,
! [X20,X18] :
( ~ p2(X18,X20)
| ! [X19] :
( ~ p2(X18,X19)
| p2(X19,X20) ) ),
inference(miniscoping,[status(thm)],[f17]) ).
fof(f51,plain,
! [X0,X1,X2] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f62,plain,
! [X55,X57] :
( ~ p7(X55,X57)
| ! [X54,X56] :
( ~ p7(X54,X56)
| p7(f8(X54,X55),f8(X56,X57)) ) ),
inference(miniscoping,[status(thm)],[f23]) ).
fof(f63,plain,
! [X0,X1,X2,X3] :
( ~ p7(X1,X3)
| ~ p7(X0,X2)
| p7(f8(X0,X1),f8(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f64,plain,
! [X46,X48] :
( ~ p7(X46,X48)
| ! [X47,X49] :
( ~ p2(X47,X49)
| p7(f10(X46,X47),f10(X48,X49)) ) ),
inference(miniscoping,[status(thm)],[f24]) ).
fof(f65,plain,
! [X0,X1,X2,X3] :
( ~ p7(X0,X2)
| ~ p2(X1,X3)
| p7(f10(X0,X1),f10(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f74,plain,
p7(c25,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f75,plain,
! [X0,X1] :
( ~ p7(c25,f8(f10(f12(f11(f3(f5(c22)))),X0),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(X1),f10(f11(f3(f4(f5(c22)))),c27)))))
| ~ p2(f14(f16(c28,f17(c21,c27)),c25),f3(c22))
| ~ p20(X1,f6(f3(f4(f5(c22))),c21))
| ~ p19(X0,f3(f4(f5(c22)))) ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f77,definition,
! [X0,X1] :
( sQ0_spl
<=> ( ~ p7(c25,f8(f10(f12(f11(f3(f5(c22)))),X0),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(X1),f10(f11(f3(f4(f5(c22)))),c27)))))
| ~ p20(X1,f6(f3(f4(f5(c22))),c21))
| ~ p19(X0,f3(f4(f5(c22)))) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f78,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ p7(c25,f8(f10(f12(f11(f3(f5(c22)))),X0),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(X1),f10(f11(f3(f4(f5(c22)))),c27)))))
| ~ p20(X1,f6(f3(f4(f5(c22))),c21))
| ~ p19(X0,f3(f4(f5(c22)))) ),
inference(component_clause,[status(thm)],[f77]) ).
fof(f80,definition,
( sQ1_spl
<=> p2(f14(f16(c28,f17(c21,c27)),c25),f3(c22)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f82,plain,
( sQ1_spl
| ~ p2(f14(f16(c28,f17(c21,c27)),c25),f3(c22)) ),
inference(component_clause,[status(thm)],[f80]) ).
fof(f83,plain,
( ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f75,f77,f80]) ).
fof(f91,plain,
! [X0,X1,X2] :
( ~ sQ0_spl
| ~ p7(X2,f8(f10(f12(f11(f3(f5(c22)))),X0),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(X1),f10(f11(f3(f4(f5(c22)))),c27)))))
| ~ p7(X2,c25)
| ~ p20(X1,f6(f3(f4(f5(c22))),c21))
| ~ p19(X0,f3(f4(f5(c22)))) ),
inference(resolution,[status(thm)],[f78,f49]) ).
fof(f94,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ p7(X1,f8(f10(f12(f11(f3(f5(c22)))),X0),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))))
| ~ p7(X1,c25)
| ~ p19(X0,f3(f4(f5(c22)))) ),
inference(resolution,[status(thm)],[f91,f39]) ).
fof(f96,plain,
! [X0] :
( ~ sQ0_spl
| ~ p7(X0,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))))
| ~ p7(X0,c25) ),
inference(resolution,[status(thm)],[f94,f38]) ).
fof(f102,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ p7(X1,c25)
| ~ p7(X1,X0)
| ~ p7(X0,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))) ),
inference(resolution,[status(thm)],[f96,f49]) ).
fof(f115,plain,
! [X0] :
( ~ sQ0_spl
| ~ p7(c25,X0)
| ~ p7(X0,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))) ),
inference(resolution,[status(thm)],[f102,f33]) ).
fof(f138,plain,
( ~ sQ0_spl
| ~ p7(f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))),f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))) ),
inference(resolution,[status(thm)],[f115,f74]) ).
fof(f156,plain,
! [X0] :
( sQ1_spl
| ~ p2(X0,f3(c22))
| ~ p2(X0,f14(f16(c28,f17(c21,c27)),c25)) ),
inference(resolution,[status(thm)],[f82,f51]) ).
fof(f158,plain,
( sQ1_spl
| ~ p2(c26,f3(c22)) ),
inference(resolution,[status(thm)],[f156,f45]) ).
fof(f161,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f158,f36]) ).
fof(f162,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f161]) ).
fof(f256,plain,
( ~ sQ0_spl
| ~ p7(f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))
| ~ p7(f10(f12(f11(f3(f5(c22)))),c23),f10(f12(f11(f3(f5(c22)))),c23)) ),
inference(resolution,[status(thm)],[f138,f63]) ).
fof(f258,definition,
( sQ7_spl
<=> p7(f10(f12(f11(f3(f5(c22)))),c23),f10(f12(f11(f3(f5(c22)))),c23)) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f260,plain,
( sQ7_spl
| ~ p7(f10(f12(f11(f3(f5(c22)))),c23),f10(f12(f11(f3(f5(c22)))),c23)) ),
inference(component_clause,[status(thm)],[f258]) ).
fof(f261,definition,
( sQ8_spl
<=> p7(f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f263,plain,
( sQ8_spl
| ~ p7(f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))) ),
inference(component_clause,[status(thm)],[f261]) ).
fof(f264,plain,
( ~ sQ0_spl
| ~ sQ8_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f256,f258,f261,f77]) ).
fof(f265,plain,
( sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f260,f33]) ).
fof(f266,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f265]) ).
fof(f351,plain,
( sQ8_spl
| ~ p7(f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))
| ~ p7(f10(f11(f3(f4(f5(c22)))),c26),f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25))) ),
inference(resolution,[status(thm)],[f263,f63]) ).
fof(f353,definition,
( sQ17_spl
<=> p7(f10(f11(f3(f4(f5(c22)))),c26),f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25))) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f355,plain,
( sQ17_spl
| ~ p7(f10(f11(f3(f4(f5(c22)))),c26),f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25))) ),
inference(component_clause,[status(thm)],[f353]) ).
fof(f356,definition,
( sQ18_spl
<=> p7(f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f358,plain,
( sQ18_spl
| ~ p7(f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))) ),
inference(component_clause,[status(thm)],[f356]) ).
fof(f359,plain,
( sQ8_spl
| ~ sQ18_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f351,f353,f356,f261]) ).
fof(f360,plain,
( sQ17_spl
| ~ p7(f11(f3(f4(f5(c22)))),f11(f3(f4(f5(c22)))))
| ~ p2(c26,f14(f16(c28,f17(c21,c27)),c25)) ),
inference(resolution,[status(thm)],[f355,f65]) ).
fof(f362,definition,
( sQ19_spl
<=> p2(c26,f14(f16(c28,f17(c21,c27)),c25)) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f364,plain,
( sQ19_spl
| ~ p2(c26,f14(f16(c28,f17(c21,c27)),c25)) ),
inference(component_clause,[status(thm)],[f362]) ).
fof(f365,definition,
( sQ20_spl
<=> p7(f11(f3(f4(f5(c22)))),f11(f3(f4(f5(c22))))) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f367,plain,
( sQ20_spl
| ~ p7(f11(f3(f4(f5(c22)))),f11(f3(f4(f5(c22))))) ),
inference(component_clause,[status(thm)],[f365]) ).
fof(f368,plain,
( sQ17_spl
| ~ sQ20_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f360,f362,f365,f353]) ).
fof(f369,plain,
( sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f358,f33]) ).
fof(f370,plain,
sQ18_spl,
inference(contradiction_clause,[status(thm)],[f369]) ).
fof(f371,plain,
( sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f364,f45]) ).
fof(f372,plain,
sQ19_spl,
inference(contradiction_clause,[status(thm)],[f371]) ).
fof(f373,plain,
( sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f367,f33]) ).
fof(f374,plain,
sQ20_spl,
inference(contradiction_clause,[status(thm)],[f373]) ).
fof(f375,plain,
$false,
inference(sat_refutation,[status(thm)],[f83,f162,f264,f266,f359,f368,f370,f372,f374]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN615-1 : 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 : n008.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 11:10:54 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 1.52/0.72 % Refutation found
% 1.52/0.72 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.52/0.72 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.52/0.76 % Elapsed time: 0.386161 seconds
% 1.52/0.76 % CPU time: 2.738010 seconds
% 1.52/0.76 % Total memory used: 98.065 MB
% 1.52/0.76 % Net memory used: 91.767 MB
%------------------------------------------------------------------------------