%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN574-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 03:16:50 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.41s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 50 ( 19 unt; 3 def)
% Number of atoms : 118 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 134 ( 66 ~; 65 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 4 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 61 ( 61 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X21] : p7(X21,X21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [X12] : p3(X12,X12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [X7] : p2(X7,X7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
p9(c12,c13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
p11(c14,c15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
! [X17] : p3(f4(f5(X17)),f4(X17)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
! [X32] :
( ~ p9(X32,c13)
| p9(X32,f4(c14)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
! [X13,X14,X12] :
( ~ p3(X12,X14)
| ~ p3(X12,X13)
| p3(X13,X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
! [X28,X29,X31,X30] :
( ~ p3(X30,X29)
| ~ p9(X31,X30)
| ~ p7(X31,X28)
| p9(X28,X29) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
! [X33,X34,X35] :
( ~ p2(X34,f5(X35))
| ~ p9(c12,X33)
| ~ p11(X35,c15)
| p9(f8(X33,X34),f4(X34))
| p9(f8(X33,X34),X33) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
! [X35,X33,X34] :
( ~ p9(f8(X33,X34),f4(X34))
| ~ p9(f8(X33,X34),X33)
| ~ p2(X34,f5(X35))
| ~ p9(c12,X33)
| ~ p11(X35,c15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,plain,
! [X0] : p7(X0,X0),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f25,plain,
! [X0] : p3(X0,X0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f26,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f27,plain,
p9(c12,c13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f28,plain,
p11(c14,c15),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f29,plain,
! [X0] : p3(f4(f5(X0)),f4(X0)),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f32,plain,
! [X0] :
( ~ p9(X0,c13)
| p9(X0,f4(c14)) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f40,plain,
! [X14,X12] :
( ~ p3(X12,X14)
| ! [X13] :
( ~ p3(X12,X13)
| p3(X13,X14) ) ),
inference(miniscoping,[status(thm)],[f16]) ).
fof(f41,plain,
! [X0,X1,X2] :
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f46,plain,
! [X29,X30] :
( ~ p3(X30,X29)
| ! [X31] :
( ~ p9(X31,X30)
| ! [X28] :
( ~ p7(X31,X28)
| p9(X28,X29) ) ) ),
inference(miniscoping,[status(thm)],[f19]) ).
fof(f47,plain,
! [X0,X1,X2,X3] :
( ~ p3(X3,X1)
| ~ p9(X2,X3)
| ~ p7(X2,X0)
| p9(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f50,plain,
! [X34,X35] :
( ~ p2(X34,f5(X35))
| ! [X33] :
( ~ p9(c12,X33)
| ~ p11(X35,c15)
| p9(f8(X33,X34),f4(X34))
| p9(f8(X33,X34),X33) ) ),
inference(miniscoping,[status(thm)],[f21]) ).
fof(f51,plain,
! [X0,X1,X2] :
( ~ p2(X1,f5(X2))
| ~ p9(c12,X0)
| ~ p11(X2,c15)
| p9(f8(X0,X1),f4(X1))
| p9(f8(X0,X1),X0) ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f52,plain,
! [X33,X34] :
( ~ p9(f8(X33,X34),f4(X34))
| ~ p9(f8(X33,X34),X33)
| ! [X35] :
( ~ p2(X34,f5(X35))
| ~ p9(c12,X33)
| ~ p11(X35,c15) ) ),
inference(miniscoping,[status(thm)],[f22]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ~ p9(f8(X1,X2),f4(X2))
| ~ p9(f8(X1,X2),X1)
| ~ p2(X2,f5(X0))
| ~ p9(c12,X1)
| ~ p11(X0,c15) ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f54,plain,
p9(c12,f4(c14)),
inference(resolution,[status(thm)],[f32,f27]) ).
fof(f77,plain,
! [X0,X1] :
( ~ p3(X1,X0)
| p3(X0,X1) ),
inference(resolution,[status(thm)],[f41,f25]) ).
fof(f80,plain,
! [X0] : p3(f4(X0),f4(f5(X0))),
inference(resolution,[status(thm)],[f77,f29]) ).
fof(f92,plain,
! [X0,X1] :
( ~ p3(f4(c14),X1)
| ~ p7(c12,X0)
| p9(X0,X1) ),
inference(resolution,[status(thm)],[f47,f54]) ).
fof(f158,plain,
! [X0] :
( ~ p7(c12,X0)
| p9(X0,f4(f5(c14))) ),
inference(resolution,[status(thm)],[f92,f80]) ).
fof(f161,plain,
p9(c12,f4(f5(c14))),
inference(resolution,[status(thm)],[f158,f24]) ).
fof(f162,plain,
! [X0,X1] :
( ~ p2(X0,f5(X1))
| ~ p11(X1,c15)
| p9(f8(f4(f5(c14)),X0),f4(X0))
| p9(f8(f4(f5(c14)),X0),f4(f5(c14))) ),
inference(resolution,[status(thm)],[f161,f51]) ).
fof(f164,plain,
! [X0] :
( ~ p11(X0,c15)
| p9(f8(f4(f5(c14)),f5(X0)),f4(f5(X0)))
| p9(f8(f4(f5(c14)),f5(X0)),f4(f5(c14))) ),
inference(resolution,[status(thm)],[f162,f26]) ).
fof(f165,plain,
( p9(f8(f4(f5(c14)),f5(c14)),f4(f5(c14)))
| p9(f8(f4(f5(c14)),f5(c14)),f4(f5(c14))) ),
inference(resolution,[status(thm)],[f164,f28]) ).
fof(f166,definition,
( sQ4_spl
<=> p9(f8(f4(f5(c14)),f5(c14)),f4(f5(c14))) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f167,plain,
( ~ sQ4_spl
| p9(f8(f4(f5(c14)),f5(c14)),f4(f5(c14))) ),
inference(component_clause,[status(thm)],[f166]) ).
fof(f169,plain,
sQ4_spl,
inference(split_clause,[status(thm)],[f165,f166]) ).
fof(f191,plain,
! [X0] :
( ~ sQ4_spl
| ~ p9(f8(f4(f5(c14)),f5(c14)),f4(f5(c14)))
| ~ p2(f5(c14),f5(X0))
| ~ p9(c12,f4(f5(c14)))
| ~ p11(X0,c15) ),
inference(resolution,[status(thm)],[f167,f53]) ).
fof(f193,definition,
! [X0] :
( sQ7_spl
<=> ( ~ p2(f5(c14),f5(X0))
| ~ p11(X0,c15) ) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f194,plain,
! [X0] :
( ~ sQ7_spl
| ~ p2(f5(c14),f5(X0))
| ~ p11(X0,c15) ),
inference(component_clause,[status(thm)],[f193]) ).
fof(f196,definition,
( sQ8_spl
<=> p9(c12,f4(f5(c14))) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f198,plain,
( sQ8_spl
| ~ p9(c12,f4(f5(c14))) ),
inference(component_clause,[status(thm)],[f196]) ).
fof(f199,plain,
( ~ sQ4_spl
| ~ sQ8_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f191,f193,f196,f166]) ).
fof(f262,plain,
( ~ sQ7_spl
| ~ p11(c14,c15) ),
inference(resolution,[status(thm)],[f194,f26]) ).
fof(f263,plain,
( ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f262,f28]) ).
fof(f264,plain,
~ sQ7_spl,
inference(contradiction_clause,[status(thm)],[f263]) ).
fof(f265,plain,
( sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f198,f161]) ).
fof(f266,plain,
sQ8_spl,
inference(contradiction_clause,[status(thm)],[f265]) ).
fof(f267,plain,
$false,
inference(sat_refutation,[status(thm)],[f169,f199,f264,f266]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN574-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n019.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 11:09:19 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.14/0.36 % Drodi V4.1.1
% 0.14/0.41 % Refutation found
% 0.14/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.43 % Elapsed time: 0.067929 seconds
% 0.14/0.43 % CPU time: 0.345150 seconds
% 0.14/0.43 % Total memory used: 20.837 MB
% 0.14/0.43 % Net memory used: 19.547 MB
%------------------------------------------------------------------------------