%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN591-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 03:16:52 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.40s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 50 ( 13 unt; 2 def)
% Number of atoms : 127 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 158 ( 81 ~; 75 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 67 ( 67 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,negated_conjecture,
! [X30] : p7(X30,X30),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [X15] : p2(X15,X15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
p12(c14,f4(c18,c17)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
~ p11(c13,f4(c17,f6(c18))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
~ p11(c13,f4(f6(c18),c17)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
! [X16,X17,X15] :
( ~ p2(X15,X17)
| ~ p2(X15,X16)
| p2(X16,X17) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
! [X20] :
( ~ p12(c14,f4(X20,c17))
| p2(f6(X20),f5(X20)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
! [X5,X6,X8,X7] :
( ~ p11(X7,X8)
| ~ p7(X7,X5)
| ~ p3(X8,X6)
| p11(X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
! [X26,X27,X28,X29] :
( ~ p2(X27,X29)
| ~ p2(X26,X28)
| p3(f4(X26,X27),f4(X28,X29)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
! [X9] :
( ~ p12(c14,f4(X9,c17))
| p11(c13,f4(f5(X9),c17))
| p11(c13,f4(c17,f5(X9))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,plain,
! [X0] : p7(X0,X0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f31,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f38,plain,
p12(c14,f4(c18,c17)),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f39,plain,
~ p11(c13,f4(c17,f6(c18))),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f40,plain,
~ p11(c13,f4(f6(c18),c17)),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f48,plain,
! [X17,X15] :
( ~ p2(X15,X17)
| ! [X16] :
( ~ p2(X15,X16)
| p2(X16,X17) ) ),
inference(miniscoping,[status(thm)],[f20]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f52,plain,
! [X0] :
( ~ p12(c14,f4(X0,c17))
| p2(f6(X0),f5(X0)) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f57,plain,
! [X8,X7] :
( ~ p11(X7,X8)
| ! [X5] :
( ~ p7(X7,X5)
| ! [X6] :
( ~ p3(X8,X6)
| p11(X5,X6) ) ) ),
inference(miniscoping,[status(thm)],[f25]) ).
fof(f58,plain,
! [X0,X1,X2,X3] :
( ~ p11(X3,X2)
| ~ p7(X3,X0)
| ~ p3(X2,X1)
| p11(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f59,plain,
! [X27,X29] :
( ~ p2(X27,X29)
| ! [X26,X28] :
( ~ p2(X26,X28)
| p3(f4(X26,X27),f4(X28,X29)) ) ),
inference(miniscoping,[status(thm)],[f26]) ).
fof(f60,plain,
! [X0,X1,X2,X3] :
( ~ p2(X1,X3)
| ~ p2(X0,X2)
| p3(f4(X0,X1),f4(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f61,plain,
! [X0] :
( ~ p12(c14,f4(X0,c17))
| p11(c13,f4(f5(X0),c17))
| p11(c13,f4(c17,f5(X0))) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f79,plain,
! [X0,X1,X2] :
( ~ p7(c13,X1)
| ~ p3(f4(f5(X0),c17),X2)
| p11(X1,X2)
| ~ p12(c14,f4(X0,c17))
| p11(c13,f4(c17,f5(X0))) ),
inference(resolution,[status(thm)],[f61,f58]) ).
fof(f97,plain,
! [X0,X1] :
( ~ p3(f4(f5(X0),c17),X1)
| p11(c13,X1)
| ~ p12(c14,f4(X0,c17))
| p11(c13,f4(c17,f5(X0))) ),
inference(resolution,[status(thm)],[f79,f30]) ).
fof(f98,plain,
! [X0,X1,X2,X3] :
( ~ p7(c13,X2)
| ~ p3(f4(c17,f5(X0)),X3)
| p11(X2,X3)
| ~ p3(f4(f5(X0),c17),X1)
| p11(c13,X1)
| ~ p12(c14,f4(X0,c17)) ),
inference(resolution,[status(thm)],[f97,f58]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ~ p3(f4(c17,f5(X0)),X2)
| p11(c13,X2)
| ~ p3(f4(f5(X0),c17),X1)
| p11(c13,X1)
| ~ p12(c14,f4(X0,c17)) ),
inference(resolution,[status(thm)],[f98,f30]) ).
fof(f115,plain,
! [X0,X1] :
( ~ p3(f4(c17,f5(c18)),X1)
| p11(c13,X1)
| ~ p3(f4(f5(c18),c17),X0)
| p11(c13,X0) ),
inference(resolution,[status(thm)],[f99,f38]) ).
fof(f117,definition,
! [X0] :
( sQ0_spl
<=> ( ~ p3(f4(f5(c18),c17),X0)
| p11(c13,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f118,plain,
! [X0] :
( ~ sQ0_spl
| ~ p3(f4(f5(c18),c17),X0)
| p11(c13,X0) ),
inference(component_clause,[status(thm)],[f117]) ).
fof(f120,definition,
! [X1] :
( sQ1_spl
<=> ( ~ p3(f4(c17,f5(c18)),X1)
| p11(c13,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f121,plain,
! [X0] :
( ~ sQ1_spl
| ~ p3(f4(c17,f5(c18)),X0)
| p11(c13,X0) ),
inference(component_clause,[status(thm)],[f120]) ).
fof(f123,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f115,f117,f120]) ).
fof(f125,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ p2(c17,X1)
| ~ p2(f5(c18),X0)
| p11(c13,f4(X0,X1)) ),
inference(resolution,[status(thm)],[f118,f60]) ).
fof(f130,plain,
! [X0] :
( ~ sQ0_spl
| ~ p2(f5(c18),X0)
| p11(c13,f4(X0,c17)) ),
inference(resolution,[status(thm)],[f125,f31]) ).
fof(f131,plain,
( ~ sQ0_spl
| ~ p2(f5(c18),f6(c18)) ),
inference(resolution,[status(thm)],[f130,f40]) ).
fof(f133,plain,
! [X0] :
( ~ sQ0_spl
| ~ p2(X0,f6(c18))
| ~ p2(X0,f5(c18)) ),
inference(resolution,[status(thm)],[f131,f49]) ).
fof(f136,plain,
( ~ sQ0_spl
| ~ p2(f6(c18),f5(c18)) ),
inference(resolution,[status(thm)],[f133,f31]) ).
fof(f137,plain,
( ~ sQ0_spl
| ~ p12(c14,f4(c18,c17)) ),
inference(resolution,[status(thm)],[f136,f52]) ).
fof(f139,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f137,f38]) ).
fof(f140,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f139]) ).
fof(f141,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ p2(f5(c18),X1)
| ~ p2(c17,X0)
| p11(c13,f4(X0,X1)) ),
inference(resolution,[status(thm)],[f121,f60]) ).
fof(f151,plain,
! [X0] :
( ~ sQ1_spl
| ~ p2(f5(c18),X0)
| p11(c13,f4(c17,X0)) ),
inference(resolution,[status(thm)],[f141,f31]) ).
fof(f152,plain,
( ~ sQ1_spl
| ~ p2(f5(c18),f6(c18)) ),
inference(resolution,[status(thm)],[f151,f39]) ).
fof(f154,plain,
! [X0] :
( ~ sQ1_spl
| ~ p2(X0,f6(c18))
| ~ p2(X0,f5(c18)) ),
inference(resolution,[status(thm)],[f152,f49]) ).
fof(f160,plain,
( ~ sQ1_spl
| ~ p2(f6(c18),f5(c18)) ),
inference(resolution,[status(thm)],[f154,f31]) ).
fof(f161,plain,
( ~ sQ1_spl
| ~ p12(c14,f4(c18,c17)) ),
inference(resolution,[status(thm)],[f160,f52]) ).
fof(f163,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f161,f38]) ).
fof(f164,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f163]) ).
fof(f165,plain,
$false,
inference(sat_refutation,[status(thm)],[f123,f140,f164]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN591-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n019.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 11:09:50 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.08/0.40 % Refutation found
% 0.08/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.41 % Elapsed time: 0.048605 seconds
% 0.13/0.41 % CPU time: 0.224237 seconds
% 0.13/0.41 % Total memory used: 13.970 MB
% 0.13/0.41 % Net memory used: 13.385 MB
%------------------------------------------------------------------------------