%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN578-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 0.09s 0.39s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of formulae : 46 ( 16 unt; 3 def)
% Number of atoms : 100 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 102 ( 48 ~; 51 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 4 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 43 ( 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X21] : p7(X21,X21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
p9(c12,c13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
p11(c14,c15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
p2(c16,f5(c14)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
! [X17] : p3(f4(f5(X17)),f4(X17)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
! [X32] :
( ~ p9(X32,c13)
| p9(X32,f4(c16)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
! [X15,X16] :
( ~ p2(X15,X16)
| p3(f4(X15),f4(X16)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
! [X28,X29,X31,X30] :
( ~ p3(X30,X29)
| ~ p9(X31,X30)
| ~ p7(X31,X28)
| p9(X28,X29) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
! [X33,X34] :
( ~ p9(c12,X33)
| ~ p11(X34,c15)
| p9(f8(X33,X34),f4(X34))
| p9(f8(X33,X34),X33) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
! [X34,X33] :
( ~ p9(f8(X33,X34),f4(X34))
| ~ p9(f8(X33,X34),X33)
| ~ p9(c12,X33)
| ~ p11(X34,c15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,plain,
! [X0] : p7(X0,X0),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f28,plain,
p9(c12,c13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f29,plain,
p11(c14,c15),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f30,plain,
p2(c16,f5(c14)),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f31,plain,
! [X0] : p3(f4(f5(X0)),f4(X0)),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f34,plain,
! [X0] :
( ~ p9(X0,c13)
| p9(X0,f4(c16)) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f37,plain,
! [X0,X1] :
( ~ p2(X0,X1)
| p3(f4(X0),f4(X1)) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f48,plain,
! [X29,X30] :
( ~ p3(X30,X29)
| ! [X31] :
( ~ p9(X31,X30)
| ! [X28] :
( ~ p7(X31,X28)
| p9(X28,X29) ) ) ),
inference(miniscoping,[status(thm)],[f20]) ).
fof(f49,plain,
! [X0,X1,X2,X3] :
( ~ p3(X3,X1)
| ~ p9(X2,X3)
| ~ p7(X2,X0)
| p9(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f52,plain,
! [X33] :
( ~ p9(c12,X33)
| ! [X34] :
( ~ p11(X34,c15)
| p9(f8(X33,X34),f4(X34))
| p9(f8(X33,X34),X33) ) ),
inference(miniscoping,[status(thm)],[f22]) ).
fof(f53,plain,
! [X0,X1] :
( ~ p9(c12,X0)
| ~ p11(X1,c15)
| p9(f8(X0,X1),f4(X1))
| p9(f8(X0,X1),X0) ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f54,plain,
! [X0,X1] :
( ~ p9(f8(X1,X0),f4(X0))
| ~ p9(f8(X1,X0),X1)
| ~ p9(c12,X1)
| ~ p11(X0,c15) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f55,plain,
p9(c12,f4(c16)),
inference(resolution,[status(thm)],[f34,f28]) ).
fof(f57,plain,
! [X0,X1] :
( ~ p3(f4(c16),X1)
| ~ p7(c12,X0)
| p9(X0,X1) ),
inference(resolution,[status(thm)],[f49,f55]) ).
fof(f59,plain,
! [X0] :
( ~ p9(c12,X0)
| p9(f8(X0,c14),f4(c14))
| p9(f8(X0,c14),X0) ),
inference(resolution,[status(thm)],[f53,f29]) ).
fof(f97,plain,
! [X0] :
( ~ p3(f4(c16),X0)
| p9(c12,X0) ),
inference(resolution,[status(thm)],[f57,f25]) ).
fof(f98,plain,
! [X0] :
( ~ p2(c16,X0)
| p9(c12,f4(X0)) ),
inference(resolution,[status(thm)],[f97,f37]) ).
fof(f107,plain,
! [X0,X1,X2] :
( ~ p3(f4(X0),X2)
| ~ p7(c12,X1)
| p9(X1,X2)
| ~ p2(c16,X0) ),
inference(resolution,[status(thm)],[f98,f49]) ).
fof(f189,plain,
! [X0,X1] :
( ~ p3(f4(X0),X1)
| p9(c12,X1)
| ~ p2(c16,X0) ),
inference(resolution,[status(thm)],[f107,f25]) ).
fof(f190,plain,
! [X0] :
( ~ p3(f4(f5(c14)),X0)
| p9(c12,X0) ),
inference(resolution,[status(thm)],[f189,f30]) ).
fof(f193,plain,
p9(c12,f4(c14)),
inference(resolution,[status(thm)],[f190,f31]) ).
fof(f197,plain,
( p9(f8(f4(c14),c14),f4(c14))
| p9(f8(f4(c14),c14),f4(c14)) ),
inference(resolution,[status(thm)],[f193,f59]) ).
fof(f199,definition,
( sQ11_spl
<=> p9(f8(f4(c14),c14),f4(c14)) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f200,plain,
( ~ sQ11_spl
| p9(f8(f4(c14),c14),f4(c14)) ),
inference(component_clause,[status(thm)],[f199]) ).
fof(f202,plain,
sQ11_spl,
inference(split_clause,[status(thm)],[f197,f199]) ).
fof(f219,plain,
( ~ sQ11_spl
| ~ p9(f8(f4(c14),c14),f4(c14))
| ~ p9(c12,f4(c14))
| ~ p11(c14,c15) ),
inference(resolution,[status(thm)],[f200,f54]) ).
fof(f221,definition,
( sQ15_spl
<=> p11(c14,c15) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f223,plain,
( sQ15_spl
| ~ p11(c14,c15) ),
inference(component_clause,[status(thm)],[f221]) ).
fof(f224,definition,
( sQ16_spl
<=> p9(c12,f4(c14)) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f226,plain,
( sQ16_spl
| ~ p9(c12,f4(c14)) ),
inference(component_clause,[status(thm)],[f224]) ).
fof(f227,plain,
( ~ sQ11_spl
| ~ sQ16_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f219,f221,f224,f199]) ).
fof(f228,plain,
( sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f223,f29]) ).
fof(f229,plain,
sQ15_spl,
inference(contradiction_clause,[status(thm)],[f228]) ).
fof(f230,plain,
( sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f226,f193]) ).
fof(f231,plain,
sQ16_spl,
inference(contradiction_clause,[status(thm)],[f230]) ).
fof(f232,plain,
$false,
inference(sat_refutation,[status(thm)],[f202,f227,f229,f231]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN578-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n001.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 11:14:44 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.39 % Refutation found
% 0.09/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.41 % Elapsed time: 0.039847 seconds
% 0.09/0.41 % CPU time: 0.140073 seconds
% 0.09/0.41 % Total memory used: 13.572 MB
% 0.09/0.41 % Net memory used: 13.250 MB
%------------------------------------------------------------------------------