%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN579-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 0.10s 0.39s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 18
% Syntax : Number of formulae : 61 ( 16 unt; 5 def)
% Number of atoms : 144 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 158 ( 75 ~; 78 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 6 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 60 ( 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X21] : p7(X21,X21),
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,
p2(c16,f5(c14)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
! [X20] : p3(f6(f5(X20)),f6(X20)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
! [X32] :
( ~ p9(X32,c13)
| p9(X32,f6(c16)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
! [X18,X19] :
( ~ p2(X18,X19)
| p3(f6(X18),f6(X19)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
! [X13,X14,X12] :
( ~ p3(X12,X14)
| ~ p3(X12,X13)
| p3(X13,X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
! [X8,X9,X7] :
( ~ p2(X7,X9)
| ~ p2(X7,X8)
| p2(X8,X9) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
! [X33,X34] :
( ~ p9(c12,X33)
| ~ p11(X34,c15)
| p9(f8(X33,X34),f6(X34))
| p9(f8(X33,X34),X33) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
! [X34,X33] :
( ~ p9(f8(X33,X34),f6(X34))
| ~ p9(f8(X33,X34),X33)
| ~ p9(c12,X33)
| ~ p11(X34,c15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,plain,
! [X0] : p7(X0,X0),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f27,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(thm)],[f4]) ).
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(f32,plain,
! [X0] : p3(f6(f5(X0)),f6(X0)),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f34,plain,
! [X0] :
( ~ p9(X0,c13)
| p9(X0,f6(c16)) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f36,plain,
! [X0,X1] :
( ~ p2(X0,X1)
| p3(f6(X0),f6(X1)) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f42,plain,
! [X14,X12] :
( ~ p3(X12,X14)
| ! [X13] :
( ~ p3(X12,X13)
| p3(X13,X14) ) ),
inference(miniscoping,[status(thm)],[f17]) ).
fof(f43,plain,
! [X0,X1,X2] :
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f44,plain,
! [X9,X7] :
( ~ p2(X7,X9)
| ! [X8] :
( ~ p2(X7,X8)
| p2(X8,X9) ) ),
inference(miniscoping,[status(thm)],[f18]) ).
fof(f45,plain,
! [X0,X1,X2] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f44]) ).
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),f6(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),f6(X1))
| p9(f8(X0,X1),X0) ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f54,plain,
! [X0,X1] :
( ~ p9(f8(X1,X0),f6(X0))
| ~ p9(f8(X1,X0),X1)
| ~ p9(c12,X1)
| ~ p11(X0,c15) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f111,definition,
( sQ5_spl
<=> p9(c12,c13) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f113,plain,
( sQ5_spl
| ~ p9(c12,c13) ),
inference(component_clause,[status(thm)],[f111]) ).
fof(f121,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f113,f28]) ).
fof(f122,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f121]) ).
fof(f127,definition,
( sQ8_spl
<=> p9(f8(f6(c14),c14),f6(c14)) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f128,plain,
( ~ sQ8_spl
| p9(f8(f6(c14),c14),f6(c14)) ),
inference(component_clause,[status(thm)],[f127]) ).
fof(f129,plain,
( sQ8_spl
| ~ p9(f8(f6(c14),c14),f6(c14)) ),
inference(component_clause,[status(thm)],[f127]) ).
fof(f130,definition,
( sQ9_spl
<=> p11(c14,c15) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f132,plain,
( sQ9_spl
| ~ p11(c14,c15) ),
inference(component_clause,[status(thm)],[f130]) ).
fof(f133,definition,
( sQ10_spl
<=> p9(c12,f6(c14)) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f135,plain,
( sQ10_spl
| ~ p9(c12,f6(c14)) ),
inference(component_clause,[status(thm)],[f133]) ).
fof(f140,plain,
( sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f132,f29]) ).
fof(f141,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f140]) ).
fof(f142,plain,
! [X0,X1] :
( sQ10_spl
| ~ p3(X1,f6(c14))
| ~ p9(X0,X1)
| ~ p7(X0,c12) ),
inference(resolution,[status(thm)],[f135,f49]) ).
fof(f150,plain,
( ~ sQ8_spl
| ~ p9(f8(f6(c14),c14),f6(c14))
| ~ p9(c12,f6(c14))
| ~ p11(c14,c15) ),
inference(resolution,[status(thm)],[f128,f54]) ).
fof(f152,plain,
( ~ sQ8_spl
| ~ sQ10_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f150,f130,f133,f127]) ).
fof(f156,plain,
! [X0] :
( sQ10_spl
| ~ p3(X0,f6(c14))
| ~ p9(c12,X0) ),
inference(resolution,[status(thm)],[f142,f25]) ).
fof(f159,plain,
! [X0,X1] :
( sQ10_spl
| ~ p3(X1,f6(c14))
| ~ p3(X1,X0)
| ~ p9(c12,X0) ),
inference(resolution,[status(thm)],[f156,f43]) ).
fof(f169,plain,
( sQ8_spl
| ~ p9(c12,f6(c14))
| ~ p11(c14,c15)
| p9(f8(f6(c14),c14),f6(c14)) ),
inference(resolution,[status(thm)],[f129,f53]) ).
fof(f171,plain,
( ~ sQ10_spl
| ~ sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f169,f127,f130,f133]) ).
fof(f183,plain,
! [X0] :
( sQ10_spl
| ~ p3(f6(f5(c14)),X0)
| ~ p9(c12,X0) ),
inference(resolution,[status(thm)],[f159,f32]) ).
fof(f197,plain,
! [X0] :
( sQ10_spl
| ~ p2(f5(c14),X0)
| ~ p9(c12,f6(X0)) ),
inference(resolution,[status(thm)],[f183,f36]) ).
fof(f210,plain,
( sQ10_spl
| ~ p9(c12,c13)
| ~ p2(f5(c14),c16) ),
inference(resolution,[status(thm)],[f197,f34]) ).
fof(f212,definition,
( sQ14_spl
<=> p2(f5(c14),c16) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f214,plain,
( sQ14_spl
| ~ p2(f5(c14),c16) ),
inference(component_clause,[status(thm)],[f212]) ).
fof(f215,plain,
( sQ10_spl
| ~ sQ5_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f210,f212,f111,f133]) ).
fof(f216,plain,
! [X0] :
( sQ14_spl
| ~ p2(X0,c16)
| ~ p2(X0,f5(c14)) ),
inference(resolution,[status(thm)],[f214,f45]) ).
fof(f218,plain,
( sQ14_spl
| ~ p2(c16,f5(c14)) ),
inference(resolution,[status(thm)],[f216,f27]) ).
fof(f219,plain,
( sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f218,f30]) ).
fof(f220,plain,
sQ14_spl,
inference(contradiction_clause,[status(thm)],[f219]) ).
fof(f221,plain,
$false,
inference(sat_refutation,[status(thm)],[f122,f141,f152,f171,f215,f220]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN579-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n007.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 11:06:51 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 % Drodi V4.1.1
% 0.10/0.39 % Refutation found
% 0.10/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.42 % Elapsed time: 0.047012 seconds
% 0.10/0.42 % CPU time: 0.133112 seconds
% 0.10/0.42 % Total memory used: 17.537 MB
% 0.10/0.42 % Net memory used: 17.148 MB
%------------------------------------------------------------------------------