%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN659-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 03:17:01 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.39s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of formulae : 41 ( 14 unt; 4 def)
% Number of atoms : 84 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 83 ( 40 ~; 39 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 40 ( 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,negated_conjecture,
! [X87] : p7(X87,X87),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
! [X13] : p12(X13,X13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
p24(f15(c29,f13(c40,c41)),f13(c32,c33)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
p12(f13(f16(c39),f17(c39)),f13(c40,c41)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
! [X14,X15,X13] :
( ~ p12(X13,X15)
| ~ p12(X13,X14)
| p12(X14,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,negated_conjecture,
~ p24(f15(c29,f13(f16(c39),f17(c39))),f13(c32,c33)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,negated_conjecture,
! [X67,X68,X70,X69] :
( ~ p12(X69,X68)
| ~ p24(X70,X69)
| ~ p14(X70,X67)
| p24(X67,X68) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,negated_conjecture,
! [X23,X24,X25,X26] :
( ~ p7(X23,X25)
| ~ p12(X24,X26)
| p14(f15(X23,X24),f15(X25,X26)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,plain,
! [X0] : p7(X0,X0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f61,plain,
! [X0] : p12(X0,X0),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f78,plain,
p24(f15(c29,f13(c40,c41)),f13(c32,c33)),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f80,plain,
p12(f13(f16(c39),f17(c39)),f13(c40,c41)),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f97,plain,
! [X15,X13] :
( ~ p12(X13,X15)
| ! [X14] :
( ~ p12(X13,X14)
| p12(X14,X15) ) ),
inference(miniscoping,[status(thm)],[f38]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ~ p12(X2,X1)
| ~ p12(X2,X0)
| p12(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f97]) ).
fof(f99,plain,
~ p24(f15(c29,f13(f16(c39),f17(c39))),f13(c32,c33)),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f102,plain,
! [X68,X69] :
( ~ p12(X69,X68)
| ! [X70] :
( ~ p24(X70,X69)
| ! [X67] :
( ~ p14(X70,X67)
| p24(X67,X68) ) ) ),
inference(miniscoping,[status(thm)],[f41]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( ~ p12(X3,X1)
| ~ p24(X2,X3)
| ~ p14(X2,X0)
| p24(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f102]) ).
fof(f110,plain,
! [X23,X25] :
( ~ p7(X23,X25)
| ! [X24,X26] :
( ~ p12(X24,X26)
| p14(f15(X23,X24),f15(X25,X26)) ) ),
inference(miniscoping,[status(thm)],[f45]) ).
fof(f111,plain,
! [X0,X1,X2,X3] :
( ~ p7(X0,X2)
| ~ p12(X1,X3)
| p14(f15(X0,X1),f15(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f110]) ).
fof(f127,plain,
! [X0,X1] :
( ~ p12(f13(c32,c33),X1)
| ~ p14(f15(c29,f13(c40,c41)),X0)
| p24(X0,X1) ),
inference(resolution,[status(thm)],[f78,f103]) ).
fof(f141,plain,
( ~ p12(f13(c32,c33),f13(c32,c33))
| ~ p14(f15(c29,f13(c40,c41)),f15(c29,f13(f16(c39),f17(c39)))) ),
inference(resolution,[status(thm)],[f127,f99]) ).
fof(f143,definition,
( sQ0_spl
<=> p14(f15(c29,f13(c40,c41)),f15(c29,f13(f16(c39),f17(c39)))) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f145,plain,
( sQ0_spl
| ~ p14(f15(c29,f13(c40,c41)),f15(c29,f13(f16(c39),f17(c39)))) ),
inference(component_clause,[status(thm)],[f143]) ).
fof(f146,definition,
( sQ1_spl
<=> p12(f13(c32,c33),f13(c32,c33)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f148,plain,
( sQ1_spl
| ~ p12(f13(c32,c33),f13(c32,c33)) ),
inference(component_clause,[status(thm)],[f146]) ).
fof(f149,plain,
( ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f141,f143,f146]) ).
fof(f156,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f148,f61]) ).
fof(f157,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f156]) ).
fof(f158,plain,
( sQ0_spl
| ~ p7(c29,c29)
| ~ p12(f13(c40,c41),f13(f16(c39),f17(c39))) ),
inference(resolution,[status(thm)],[f145,f111]) ).
fof(f160,definition,
( sQ3_spl
<=> p12(f13(c40,c41),f13(f16(c39),f17(c39))) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f162,plain,
( sQ3_spl
| ~ p12(f13(c40,c41),f13(f16(c39),f17(c39))) ),
inference(component_clause,[status(thm)],[f160]) ).
fof(f163,definition,
( sQ4_spl
<=> p7(c29,c29) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f165,plain,
( sQ4_spl
| ~ p7(c29,c29) ),
inference(component_clause,[status(thm)],[f163]) ).
fof(f166,plain,
( sQ0_spl
| ~ sQ4_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f158,f160,f163,f143]) ).
fof(f168,plain,
! [X0] :
( sQ3_spl
| ~ p12(X0,f13(f16(c39),f17(c39)))
| ~ p12(X0,f13(c40,c41)) ),
inference(resolution,[status(thm)],[f162,f98]) ).
fof(f176,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f165,f54]) ).
fof(f177,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f176]) ).
fof(f289,plain,
( sQ3_spl
| ~ p12(f13(f16(c39),f17(c39)),f13(c40,c41)) ),
inference(resolution,[status(thm)],[f168,f61]) ).
fof(f290,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f289,f80]) ).
fof(f291,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f290]) ).
fof(f292,plain,
$false,
inference(sat_refutation,[status(thm)],[f149,f157,f166,f177,f291]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN659-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n010.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 11:11:25 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.41 % Elapsed time: 0.043827 seconds
% 0.14/0.41 % CPU time: 0.137545 seconds
% 0.14/0.41 % Total memory used: 17.798 MB
% 0.14/0.41 % Net memory used: 17.703 MB
%------------------------------------------------------------------------------