%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN100-1.005 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 03:15:13 PM UTC 2026
% Result : Unsatisfiable 0.07s 0.36s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 32
% Syntax : Number of formulae : 97 ( 12 unt; 15 def)
% Number of atoms : 227 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 246 ( 116 ~; 115 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 32 ( 31 usr; 16 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X] :
( ~ q_0(X)
| ~ p_0(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] :
( ~ p_2(X)
| ~ p_1(X)
| p_0(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] :
( ~ p_3(X)
| ~ p_2(X)
| p_1(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X] :
( ~ p_4(X)
| ~ p_3(X)
| p_2(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X] :
( ~ p_5(X)
| ~ p_4(X)
| p_3(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X] :
( ~ p_6(X)
| ~ p_5(X)
| p_4(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X] :
( ~ p_7(X)
| ~ p_6(X)
| p_5(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X] :
( ~ p_8(X)
| ~ p_7(X)
| p_6(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X] :
( ~ p_9(X)
| ~ p_8(X)
| p_7(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X] :
( ~ q_2(X)
| ~ p_1(X)
| q_0(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [X] :
( ~ q_4(X)
| ~ p_3(X)
| q_2(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [X] :
( ~ q_6(X)
| ~ p_5(X)
| q_4(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,axiom,
! [X] :
( ~ q_8(X)
| ~ p_7(X)
| q_6(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,axiom,
p_8(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,axiom,
p_9(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,axiom,
q_8(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,axiom,
q_9(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f83,plain,
! [X0] :
( ~ q_0(X0)
| ~ p_0(X0) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f84,plain,
! [X0] :
( ~ p_2(X0)
| ~ p_1(X0)
| p_0(X0) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f86,plain,
! [X0] :
( ~ p_3(X0)
| ~ p_2(X0)
| p_1(X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f88,plain,
! [X0] :
( ~ p_4(X0)
| ~ p_3(X0)
| p_2(X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f90,plain,
! [X0] :
( ~ p_5(X0)
| ~ p_4(X0)
| p_3(X0) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f92,plain,
! [X0] :
( ~ p_6(X0)
| ~ p_5(X0)
| p_4(X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f94,plain,
! [X0] :
( ~ p_7(X0)
| ~ p_6(X0)
| p_5(X0) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f96,plain,
! [X0] :
( ~ p_8(X0)
| ~ p_7(X0)
| p_6(X0) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f98,plain,
! [X0] :
( ~ p_9(X0)
| ~ p_8(X0)
| p_7(X0) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f100,plain,
! [X0] :
( ~ q_2(X0)
| ~ p_1(X0)
| q_0(X0) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f104,plain,
! [X0] :
( ~ q_4(X0)
| ~ p_3(X0)
| q_2(X0) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f108,plain,
! [X0] :
( ~ q_6(X0)
| ~ p_5(X0)
| q_4(X0) ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f112,plain,
! [X0] :
( ~ q_8(X0)
| ~ p_7(X0)
| q_6(X0) ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f120,plain,
p_8(a),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f121,plain,
p_9(a),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f122,plain,
q_8(a),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f123,plain,
q_9(a),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f165,plain,
( ~ p_9(a)
| p_7(a) ),
inference(resolution,[status(thm)],[f98,f120]) ).
fof(f166,definition,
( sQ0_spl
<=> p_7(a) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f167,plain,
( ~ sQ0_spl
| p_7(a) ),
inference(component_clause,[status(thm)],[f166]) ).
fof(f169,definition,
( sQ1_spl
<=> p_9(a) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f171,plain,
( sQ1_spl
| ~ p_9(a) ),
inference(component_clause,[status(thm)],[f169]) ).
fof(f172,plain,
( ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f165,f166,f169]) ).
fof(f174,definition,
( sQ2_spl
<=> q_9(a) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f176,plain,
( sQ2_spl
| ~ q_9(a) ),
inference(component_clause,[status(thm)],[f174]) ).
fof(f178,plain,
( ~ sQ0_spl
| ~ p_8(a)
| p_6(a) ),
inference(resolution,[status(thm)],[f167,f96]) ).
fof(f179,plain,
( ~ sQ0_spl
| ~ p_6(a)
| p_5(a) ),
inference(resolution,[status(thm)],[f167,f94]) ).
fof(f180,definition,
( sQ3_spl
<=> p_6(a) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f181,plain,
( ~ sQ3_spl
| p_6(a) ),
inference(component_clause,[status(thm)],[f180]) ).
fof(f183,definition,
( sQ4_spl
<=> p_8(a) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f185,plain,
( sQ4_spl
| ~ p_8(a) ),
inference(component_clause,[status(thm)],[f183]) ).
fof(f186,plain,
( ~ sQ0_spl
| ~ sQ4_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f178,f180,f183,f166]) ).
fof(f187,definition,
( sQ5_spl
<=> p_5(a) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f188,plain,
( ~ sQ5_spl
| p_5(a) ),
inference(component_clause,[status(thm)],[f187]) ).
fof(f190,plain,
( ~ sQ0_spl
| ~ sQ3_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f179,f187,f180,f166]) ).
fof(f191,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f171,f121]) ).
fof(f192,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f191]) ).
fof(f193,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f185,f120]) ).
fof(f194,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f193]) ).
fof(f195,plain,
( ~ sQ5_spl
| ~ p_4(a)
| p_3(a) ),
inference(resolution,[status(thm)],[f188,f90]) ).
fof(f196,definition,
( sQ6_spl
<=> p_3(a) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f197,plain,
( ~ sQ6_spl
| p_3(a) ),
inference(component_clause,[status(thm)],[f196]) ).
fof(f199,definition,
( sQ7_spl
<=> p_4(a) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f200,plain,
( ~ sQ7_spl
| p_4(a) ),
inference(component_clause,[status(thm)],[f199]) ).
fof(f202,plain,
( ~ sQ5_spl
| ~ sQ7_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f195,f196,f199,f187]) ).
fof(f207,plain,
( ~ sQ3_spl
| ~ p_5(a)
| p_4(a) ),
inference(resolution,[status(thm)],[f181,f92]) ).
fof(f208,plain,
( ~ sQ3_spl
| ~ sQ5_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f207,f199,f187,f180]) ).
fof(f209,plain,
( ~ sQ6_spl
| ~ p_2(a)
| p_1(a) ),
inference(resolution,[status(thm)],[f197,f86]) ).
fof(f210,definition,
( sQ8_spl
<=> p_1(a) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f213,definition,
( sQ9_spl
<=> p_2(a) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f214,plain,
( ~ sQ9_spl
| p_2(a) ),
inference(component_clause,[status(thm)],[f213]) ).
fof(f216,plain,
( ~ sQ6_spl
| ~ sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f209,f210,f213,f196]) ).
fof(f217,plain,
( ~ sQ7_spl
| ~ p_3(a)
| p_2(a) ),
inference(resolution,[status(thm)],[f200,f88]) ).
fof(f218,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f217,f213,f196,f199]) ).
fof(f219,plain,
( ~ sQ9_spl
| ~ p_1(a)
| p_0(a) ),
inference(resolution,[status(thm)],[f214,f84]) ).
fof(f220,definition,
( sQ10_spl
<=> p_0(a) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f221,plain,
( ~ sQ10_spl
| p_0(a) ),
inference(component_clause,[status(thm)],[f220]) ).
fof(f223,plain,
( ~ sQ9_spl
| ~ sQ8_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f219,f220,f210,f213]) ).
fof(f224,plain,
( ~ p_7(a)
| q_6(a) ),
inference(resolution,[status(thm)],[f112,f122]) ).
fof(f225,definition,
( sQ11_spl
<=> q_6(a) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f226,plain,
( ~ sQ11_spl
| q_6(a) ),
inference(component_clause,[status(thm)],[f225]) ).
fof(f228,plain,
( ~ sQ0_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f224,f225,f166]) ).
fof(f230,plain,
( ~ sQ11_spl
| ~ p_5(a)
| q_4(a) ),
inference(resolution,[status(thm)],[f226,f108]) ).
fof(f236,definition,
( sQ13_spl
<=> q_4(a) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f237,plain,
( ~ sQ13_spl
| q_4(a) ),
inference(component_clause,[status(thm)],[f236]) ).
fof(f239,plain,
( ~ sQ11_spl
| ~ sQ5_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f230,f236,f187,f225]) ).
fof(f242,plain,
( ~ sQ13_spl
| ~ p_3(a)
| q_2(a) ),
inference(resolution,[status(thm)],[f237,f104]) ).
fof(f248,definition,
( sQ15_spl
<=> q_2(a) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f249,plain,
( ~ sQ15_spl
| q_2(a) ),
inference(component_clause,[status(thm)],[f248]) ).
fof(f251,plain,
( ~ sQ13_spl
| ~ sQ6_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f242,f248,f196,f236]) ).
fof(f258,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f176,f123]) ).
fof(f259,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f258]) ).
fof(f267,plain,
( ~ sQ15_spl
| ~ p_1(a)
| q_0(a) ),
inference(resolution,[status(thm)],[f249,f100]) ).
fof(f273,definition,
( sQ18_spl
<=> q_0(a) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f274,plain,
( ~ sQ18_spl
| q_0(a) ),
inference(component_clause,[status(thm)],[f273]) ).
fof(f276,plain,
( ~ sQ15_spl
| ~ sQ8_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f267,f273,f210,f248]) ).
fof(f295,plain,
( ~ sQ18_spl
| ~ p_0(a) ),
inference(resolution,[status(thm)],[f274,f83]) ).
fof(f296,plain,
( ~ sQ18_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f295,f221]) ).
fof(f297,plain,
( ~ sQ18_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f296]) ).
fof(f298,plain,
$false,
inference(sat_refutation,[status(thm)],[f172,f186,f190,f192,f194,f202,f208,f216,f218,f223,f228,f239,f251,f259,f276,f297]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN100-1.005 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.33 % Computer : n014.cluster.edu
% 0.07/0.33 % Model : x86_64 x86_64
% 0.07/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.33 % Memory : 8046.5625MB
% 0.07/0.33 % OS : Linux 6.8.0-71-generic
% 0.07/0.33 % CPULimit : 300
% 0.07/0.33 % WCLimit : 300
% 0.07/0.33 % DateTime : Mon Sep 21 10:43:19 UTC 2026
% 0.07/0.33 % CPUTime :
% 0.07/0.34 % Drodi V4.1.1
% 0.07/0.36 % Refutation found
% 0.07/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.07/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.38 % Elapsed time: 0.046512 seconds
% 0.12/0.38 % CPU time: 0.114480 seconds
% 0.12/0.38 % Total memory used: 18.694 MB
% 0.12/0.38 % Net memory used: 18.660 MB
%------------------------------------------------------------------------------