%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN577-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : 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 03:16:50 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.42s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 43 ( 15 unt; 2 def)
% Number of atoms : 118 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 171 ( 96 ~; 73 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 55 ( 55 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
p7(c9,c10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
p2(f4(c16,c14),c18),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
p2(f4(c15,c14),c17),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
p2(f5(f6(c9),c19),c17),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
p2(f5(f6(c9),c20),c18),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
! [X1,X2,X0] :
( ~ p2(X0,X2)
| ~ p2(X0,X1)
| p2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
! [X34,X32,X33] :
( ~ p2(f4(X33,c14),f5(f6(X34),c20))
| ~ p2(f4(X32,c14),f5(f6(X34),c19))
| ~ p2(c16,X33)
| ~ p2(c15,X32)
| ~ p7(X34,c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f27,plain,
p7(c9,c10),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f30,plain,
p2(f4(c16,c14),c18),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f31,plain,
p2(f4(c15,c14),c17),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f33,plain,
p2(f5(f6(c9),c19),c17),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f34,plain,
p2(f5(f6(c9),c20),c18),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f36,plain,
! [X2,X0] :
( ~ p2(X0,X2)
| ! [X1] :
( ~ p2(X0,X1)
| p2(X1,X2) ) ),
inference(miniscoping,[status(thm)],[f14]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f48,plain,
! [X34,X33] :
( ~ p2(f4(X33,c14),f5(f6(X34),c20))
| ! [X32] :
( ~ p2(f4(X32,c14),f5(f6(X34),c19))
| ~ p2(c16,X33)
| ~ p2(c15,X32)
| ~ p7(X34,c10) ) ),
inference(miniscoping,[status(thm)],[f20]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ~ p2(f4(X2,c14),f5(f6(X0),c20))
| ~ p2(f4(X1,c14),f5(f6(X0),c19))
| ~ p2(c16,X2)
| ~ p2(c15,X1)
| ~ p7(X0,c10) ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f54,plain,
! [X0,X1,X2,X3] :
( ~ p2(X3,f5(f6(X0),c20))
| ~ p2(X3,f4(X2,c14))
| ~ p2(f4(X1,c14),f5(f6(X0),c19))
| ~ p2(c16,X2)
| ~ p2(c15,X1)
| ~ p7(X0,c10) ),
inference(resolution,[status(thm)],[f49,f37]) ).
fof(f55,plain,
! [X0,X1,X2,X3,X4] :
( ~ p2(X4,f5(f6(X0),c19))
| ~ p2(X4,f4(X1,c14))
| ~ p2(X3,f5(f6(X0),c20))
| ~ p2(X3,f4(X2,c14))
| ~ p2(c16,X2)
| ~ p2(c15,X1)
| ~ p7(X0,c10) ),
inference(resolution,[status(thm)],[f54,f37]) ).
fof(f56,plain,
! [X0,X1,X2,X3] :
( ~ p2(X3,f5(f6(c9),c19))
| ~ p2(X3,f4(X0,c14))
| ~ p2(X2,f5(f6(c9),c20))
| ~ p2(X2,f4(X1,c14))
| ~ p2(c16,X1)
| ~ p2(c15,X0) ),
inference(resolution,[status(thm)],[f55,f27]) ).
fof(f58,definition,
! [X0,X3] :
( sQ0_spl
<=> ( ~ p2(X3,f5(f6(c9),c19))
| ~ p2(X3,f4(X0,c14))
| ~ p2(c15,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f59,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ p2(X1,f5(f6(c9),c19))
| ~ p2(X1,f4(X0,c14))
| ~ p2(c15,X0) ),
inference(component_clause,[status(thm)],[f58]) ).
fof(f61,definition,
! [X1,X2] :
( sQ1_spl
<=> ( ~ p2(X2,f5(f6(c9),c20))
| ~ p2(X2,f4(X1,c14))
| ~ p2(c16,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f62,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ p2(X1,f5(f6(c9),c20))
| ~ p2(X1,f4(X0,c14))
| ~ p2(c16,X0) ),
inference(component_clause,[status(thm)],[f61]) ).
fof(f64,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f56,f58,f61]) ).
fof(f66,plain,
! [X0] :
( ~ sQ0_spl
| ~ p2(X0,f5(f6(c9),c19))
| ~ p2(X0,f4(c15,c14)) ),
inference(resolution,[status(thm)],[f59,f23]) ).
fof(f67,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ p2(X1,f5(f6(c9),c19))
| ~ p2(X1,X0)
| ~ p2(X0,f4(c15,c14)) ),
inference(resolution,[status(thm)],[f66,f37]) ).
fof(f72,plain,
! [X0] :
( ~ sQ0_spl
| ~ p2(f5(f6(c9),c19),X0)
| ~ p2(X0,f4(c15,c14)) ),
inference(resolution,[status(thm)],[f67,f23]) ).
fof(f74,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ p2(X1,f4(c15,c14))
| ~ p2(X1,X0)
| ~ p2(f5(f6(c9),c19),X0) ),
inference(resolution,[status(thm)],[f72,f37]) ).
fof(f78,plain,
! [X0] :
( ~ sQ0_spl
| ~ p2(f4(c15,c14),X0)
| ~ p2(f5(f6(c9),c19),X0) ),
inference(resolution,[status(thm)],[f74,f23]) ).
fof(f80,plain,
( ~ sQ0_spl
| ~ p2(f4(c15,c14),c17) ),
inference(resolution,[status(thm)],[f78,f33]) ).
fof(f84,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f80,f31]) ).
fof(f85,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f84]) ).
fof(f87,plain,
! [X0] :
( ~ sQ1_spl
| ~ p2(X0,f5(f6(c9),c20))
| ~ p2(X0,f4(c16,c14)) ),
inference(resolution,[status(thm)],[f62,f23]) ).
fof(f89,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ p2(X1,f5(f6(c9),c20))
| ~ p2(X1,X0)
| ~ p2(X0,f4(c16,c14)) ),
inference(resolution,[status(thm)],[f87,f37]) ).
fof(f93,plain,
! [X0] :
( ~ sQ1_spl
| ~ p2(f5(f6(c9),c20),X0)
| ~ p2(X0,f4(c16,c14)) ),
inference(resolution,[status(thm)],[f89,f23]) ).
fof(f95,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ p2(X1,f4(c16,c14))
| ~ p2(X1,X0)
| ~ p2(f5(f6(c9),c20),X0) ),
inference(resolution,[status(thm)],[f93,f37]) ).
fof(f99,plain,
! [X0] :
( ~ sQ1_spl
| ~ p2(f4(c16,c14),X0)
| ~ p2(f5(f6(c9),c20),X0) ),
inference(resolution,[status(thm)],[f95,f23]) ).
fof(f102,plain,
( ~ sQ1_spl
| ~ p2(f4(c16,c14),c18) ),
inference(resolution,[status(thm)],[f99,f34]) ).
fof(f106,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f102,f30]) ).
fof(f107,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f106]) ).
fof(f108,plain,
$false,
inference(sat_refutation,[status(thm)],[f64,f85,f107]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN577-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.38 % Computer : n008.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 21 11:09:39 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.39 % Drodi V4.1.1
% 0.11/0.42 % Refutation found
% 0.11/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.44 % Elapsed time: 0.053953 seconds
% 0.11/0.44 % CPU time: 0.194741 seconds
% 0.11/0.44 % Total memory used: 57.297 MB
% 0.11/0.44 % Net memory used: 56.786 MB
%------------------------------------------------------------------------------