%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN714-1 : 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 03:17:09 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.40s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 14
% Syntax : Number of formulae : 45 ( 15 unt; 6 def)
% Number of atoms : 99 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 101 ( 47 ~; 48 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 7 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f22,negated_conjecture,
p51(c66,c67),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
p53(c68,f17(c66)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
~ p16(f17(c66),c65),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
p52(f20(f21(c62,c64)),c66),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
~ p50(c66,f25(f27(c59,c68),c67),c60),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f64,negated_conjecture,
! [X160] :
( ~ p53(X160,f17(c66))
| p50(c66,f25(f27(c59,X160),c67),c62) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f87,negated_conjecture,
! [X165,X166,X167,X168] :
( ~ p53(X167,f17(X165))
| ~ p51(X165,X168)
| p51(X165,f25(f27(X166,X167),X168)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f98,negated_conjecture,
! [X15,X16] :
( ~ p52(f20(f21(c62,c64)),X15)
| ~ p50(X15,X16,c62)
| ~ p51(X15,X16)
| p50(X15,X16,c60)
| p16(f17(X15),c65) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f127,plain,
p51(c66,c67),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f128,plain,
p53(c68,f17(c66)),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f129,plain,
~ p16(f17(c66),c65),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f133,plain,
p52(f20(f21(c62,c64)),c66),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f138,plain,
~ p50(c66,f25(f27(c59,c68),c67),c60),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f188,plain,
! [X0] :
( ~ p53(X0,f17(c66))
| p50(c66,f25(f27(c59,X0),c67),c62) ),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f233,plain,
! [X165,X167] :
( ~ p53(X167,f17(X165))
| ! [X168] :
( ~ p51(X165,X168)
| ! [X166] : p51(X165,f25(f27(X166,X167),X168)) ) ),
inference(miniscoping,[status(thm)],[f87]) ).
fof(f234,plain,
! [X0,X1,X2,X3] :
( ~ p53(X2,f17(X0))
| ~ p51(X0,X3)
| p51(X0,f25(f27(X1,X2),X3)) ),
inference(cnf_transformation,[status(thm)],[f233]) ).
fof(f250,plain,
! [X15] :
( ~ p52(f20(f21(c62,c64)),X15)
| ! [X16] :
( ~ p50(X15,X16,c62)
| ~ p51(X15,X16)
| p50(X15,X16,c60)
| p16(f17(X15),c65) ) ),
inference(miniscoping,[status(thm)],[f98]) ).
fof(f251,plain,
! [X0,X1] :
( ~ p52(f20(f21(c62,c64)),X0)
| ~ p50(X0,X1,c62)
| ~ p51(X0,X1)
| p50(X0,X1,c60)
| p16(f17(X0),c65) ),
inference(cnf_transformation,[status(thm)],[f250]) ).
fof(f277,plain,
! [X0] :
( ~ p52(f20(f21(c62,c64)),c66)
| ~ p51(c66,f25(f27(c59,X0),c67))
| p50(c66,f25(f27(c59,X0),c67),c60)
| p16(f17(c66),c65)
| ~ p53(X0,f17(c66)) ),
inference(resolution,[status(thm)],[f188,f251]) ).
fof(f278,definition,
! [X0] :
( sQ0_spl
<=> ( ~ p51(c66,f25(f27(c59,X0),c67))
| p50(c66,f25(f27(c59,X0),c67),c60)
| ~ p53(X0,f17(c66)) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f279,plain,
! [X0] :
( ~ sQ0_spl
| ~ p51(c66,f25(f27(c59,X0),c67))
| p50(c66,f25(f27(c59,X0),c67),c60)
| ~ p53(X0,f17(c66)) ),
inference(component_clause,[status(thm)],[f278]) ).
fof(f281,definition,
( sQ1_spl
<=> p16(f17(c66),c65) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f282,plain,
( ~ sQ1_spl
| p16(f17(c66),c65) ),
inference(component_clause,[status(thm)],[f281]) ).
fof(f284,definition,
( sQ2_spl
<=> p52(f20(f21(c62,c64)),c66) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f286,plain,
( sQ2_spl
| ~ p52(f20(f21(c62,c64)),c66) ),
inference(component_clause,[status(thm)],[f284]) ).
fof(f287,plain,
( ~ sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f277,f278,f281,f284]) ).
fof(f288,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f286,f133]) ).
fof(f289,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f288]) ).
fof(f305,plain,
( ~ sQ0_spl
| ~ p51(c66,f25(f27(c59,c68),c67))
| ~ p53(c68,f17(c66)) ),
inference(resolution,[status(thm)],[f279,f138]) ).
fof(f307,definition,
( sQ3_spl
<=> p53(c68,f17(c66)) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f309,plain,
( sQ3_spl
| ~ p53(c68,f17(c66)) ),
inference(component_clause,[status(thm)],[f307]) ).
fof(f310,definition,
( sQ4_spl
<=> p51(c66,f25(f27(c59,c68),c67)) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f312,plain,
( sQ4_spl
| ~ p51(c66,f25(f27(c59,c68),c67)) ),
inference(component_clause,[status(thm)],[f310]) ).
fof(f313,plain,
( ~ sQ0_spl
| ~ sQ4_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f305,f307,f310,f278]) ).
fof(f314,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f282,f129]) ).
fof(f315,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f314]) ).
fof(f316,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f309,f128]) ).
fof(f317,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f316]) ).
fof(f330,definition,
( sQ6_spl
<=> p51(c66,c67) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f332,plain,
( sQ6_spl
| ~ p51(c66,c67) ),
inference(component_clause,[status(thm)],[f330]) ).
fof(f335,plain,
( sQ4_spl
| ~ p53(c68,f17(c66))
| ~ p51(c66,c67) ),
inference(resolution,[status(thm)],[f312,f234]) ).
fof(f337,plain,
( sQ4_spl
| ~ sQ3_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f335,f330,f307,f310]) ).
fof(f338,plain,
( sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f332,f127]) ).
fof(f339,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f338]) ).
fof(f340,plain,
$false,
inference(sat_refutation,[status(thm)],[f287,f289,f313,f315,f317,f337,f339]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN714-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n018.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 11:14:46 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.08/0.40 % Refutation found
% 0.08/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.08/0.42 % Elapsed time: 0.054339 seconds
% 0.08/0.42 % CPU time: 0.171370 seconds
% 0.08/0.42 % Total memory used: 20.967 MB
% 0.08/0.42 % Net memory used: 20.770 MB
%------------------------------------------------------------------------------