%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN626-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 0.14s 0.57s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 34 ( 12 unt; 2 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 72 ( 36 ~; 34 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 39 ( 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X54] : p7(X54,X54),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [X47] : p6(X47,X47),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
! [X14,X15] :
( ~ p15(X14,X15)
| p16(X14,X15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
p15(c22,f8(f5(c20),f9(c23,c24))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
! [X20] :
( ~ p16(c22,X20)
| p7(f12(f13(X20)),X20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
! [X55,X56,X54] :
( ~ p7(X54,X56)
| ~ p7(X54,X55)
| p7(X55,X56) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
~ p15(c22,f12(f13(f8(f5(c20),f9(c23,c24))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
! [X10,X11,X12,X13] :
( ~ p15(X12,X13)
| ~ p7(X13,X11)
| ~ p6(X12,X10)
| p15(X10,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,plain,
! [X0] : p7(X0,X0),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f38,plain,
! [X0] : p6(X0,X0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f43,plain,
! [X0,X1] :
( ~ p15(X0,X1)
| p16(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f44,plain,
p15(c22,f8(f5(c20),f9(c23,c24))),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f50,plain,
! [X0] :
( ~ p16(c22,X0)
| p7(f12(f13(X0)),X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f53,plain,
! [X56,X54] :
( ~ p7(X54,X56)
| ! [X55] :
( ~ p7(X54,X55)
| p7(X55,X56) ) ),
inference(miniscoping,[status(thm)],[f17]) ).
fof(f54,plain,
! [X0,X1,X2] :
( ~ p7(X2,X1)
| ~ p7(X2,X0)
| p7(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f64,plain,
~ p15(c22,f12(f13(f8(f5(c20),f9(c23,c24))))),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f76,plain,
! [X12,X13] :
( ~ p15(X12,X13)
| ! [X11] :
( ~ p7(X13,X11)
| ! [X10] :
( ~ p6(X12,X10)
| p15(X10,X11) ) ) ),
inference(miniscoping,[status(thm)],[f31]) ).
fof(f77,plain,
! [X0,X1,X2,X3] :
( ~ p15(X2,X3)
| ~ p7(X3,X1)
| ~ p6(X2,X0)
| p15(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f76]) ).
fof(f85,plain,
p16(c22,f8(f5(c20),f9(c23,c24))),
inference(resolution,[status(thm)],[f44,f43]) ).
fof(f97,plain,
! [X0,X1] :
( ~ p7(f8(f5(c20),f9(c23,c24)),X1)
| ~ p6(c22,X0)
| p15(X0,X1) ),
inference(resolution,[status(thm)],[f77,f44]) ).
fof(f99,plain,
! [X0] :
( ~ p7(f8(f5(c20),f9(c23,c24)),X0)
| p15(c22,X0) ),
inference(resolution,[status(thm)],[f97,f38]) ).
fof(f105,definition,
( sQ4_spl
<=> p16(c22,f8(f5(c20),f9(c23,c24))) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f107,plain,
( sQ4_spl
| ~ p16(c22,f8(f5(c20),f9(c23,c24))) ),
inference(component_clause,[status(thm)],[f105]) ).
fof(f109,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f107,f85]) ).
fof(f110,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f109]) ).
fof(f122,plain,
! [X0,X1] :
( ~ p7(X1,X0)
| ~ p7(X1,f8(f5(c20),f9(c23,c24)))
| p15(c22,X0) ),
inference(resolution,[status(thm)],[f99,f54]) ).
fof(f136,plain,
! [X0] :
( ~ p16(c22,f8(f5(c20),f9(c23,c24)))
| ~ p7(f12(f13(f8(f5(c20),f9(c23,c24)))),X0)
| p15(c22,X0) ),
inference(resolution,[status(thm)],[f122,f50]) ).
fof(f139,definition,
! [X0] :
( sQ5_spl
<=> ( ~ p7(f12(f13(f8(f5(c20),f9(c23,c24)))),X0)
| p15(c22,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f140,plain,
! [X0] :
( ~ sQ5_spl
| ~ p7(f12(f13(f8(f5(c20),f9(c23,c24)))),X0)
| p15(c22,X0) ),
inference(component_clause,[status(thm)],[f139]) ).
fof(f142,plain,
( ~ sQ4_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f136,f139,f105]) ).
fof(f171,plain,
( ~ sQ5_spl
| p15(c22,f12(f13(f8(f5(c20),f9(c23,c24))))) ),
inference(resolution,[status(thm)],[f140,f37]) ).
fof(f173,plain,
( ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f171,f64]) ).
fof(f174,plain,
~ sQ5_spl,
inference(contradiction_clause,[status(thm)],[f173]) ).
fof(f175,plain,
$false,
inference(sat_refutation,[status(thm)],[f110,f142,f174]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN626-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.53 % Computer : n020.cluster.edu
% 0.11/0.53 % Model : x86_64 x86_64
% 0.11/0.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.53 % Memory : 8046.5625MB
% 0.11/0.53 % OS : Linux 6.8.0-71-generic
% 0.11/0.53 % CPULimit : 300
% 0.11/0.53 % WCLimit : 300
% 0.11/0.53 % DateTime : Mon Sep 21 11:10:48 UTC 2026
% 0.11/0.54 % CPUTime :
% 0.11/0.55 % Drodi V4.1.1
% 0.14/0.57 % Refutation found
% 0.14/0.57 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.57 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.59 % Elapsed time: 0.047992 seconds
% 0.14/0.59 % CPU time: 0.161363 seconds
% 0.14/0.59 % Total memory used: 17.094 MB
% 0.14/0.59 % Net memory used: 16.874 MB
%------------------------------------------------------------------------------