%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN706-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 03:17:07 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.40s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 31 ( 15 unt; 0 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 60 ( 31 ~; 29 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 10 con; 0-2 aty)
% Number of variables : 61 ( 61 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,negated_conjecture,
! [X143] : p47(X143,X143),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
! [X88] : p36(X88,X88),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
p45(f20(c52,c50),c58),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
~ p48(f38(f40(c59,c50),c58),c60),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,negated_conjecture,
! [X146,X147,X149,X148] :
( ~ p37(X148,X146)
| ~ p48(X148,X149)
| ~ p47(X149,X147)
| p48(X146,X147) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f59,negated_conjecture,
! [X166,X167] : p7(f8(f11(c54,f14(f17(c55,X166),f35(X167,X166))),X167),X167),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f67,negated_conjecture,
! [X98,X99,X100,X101] :
( ~ p7(X99,X101)
| ~ p36(X98,X100)
| p37(f38(X98,X99),f38(X100,X101)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f78,negated_conjecture,
! [X137,X142,X136] :
( ~ p45(f20(c52,X136),X137)
| p46(f23(c53,f35(X137,X142)),f5(c49,X136)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f81,negated_conjecture,
! [X150,X151] :
( ~ p46(f23(c53,X150),f5(c49,c50))
| ~ p45(f20(c52,c50),X151)
| p48(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),X150)),X151)),c60) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f86,plain,
! [X0] : p47(X0,X0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f92,plain,
! [X0] : p36(X0,X0),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f108,plain,
p45(f20(c52,c50),c58),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f110,plain,
~ p48(f38(f40(c59,c50),c58),c60),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f165,plain,
! [X146,X148] :
( ~ p37(X148,X146)
| ! [X149] :
( ~ p48(X148,X149)
| ! [X147] :
( ~ p47(X149,X147)
| p48(X146,X147) ) ) ),
inference(miniscoping,[status(thm)],[f57]) ).
fof(f166,plain,
! [X0,X1,X2,X3] :
( ~ p37(X3,X0)
| ~ p48(X3,X2)
| ~ p47(X2,X1)
| p48(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f165]) ).
fof(f169,plain,
! [X0,X1] : p7(f8(f11(c54,f14(f17(c55,X0),f35(X1,X0))),X1),X1),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f183,plain,
! [X99,X101] :
( ~ p7(X99,X101)
| ! [X98,X100] :
( ~ p36(X98,X100)
| p37(f38(X98,X99),f38(X100,X101)) ) ),
inference(miniscoping,[status(thm)],[f67]) ).
fof(f184,plain,
! [X0,X1,X2,X3] :
( ~ p7(X1,X3)
| ~ p36(X0,X2)
| p37(f38(X0,X1),f38(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f183]) ).
fof(f205,plain,
! [X137,X136] :
( ~ p45(f20(c52,X136),X137)
| ! [X142] : p46(f23(c53,f35(X137,X142)),f5(c49,X136)) ),
inference(miniscoping,[status(thm)],[f78]) ).
fof(f206,plain,
! [X0,X1,X2] :
( ~ p45(f20(c52,X2),X0)
| p46(f23(c53,f35(X0,X1)),f5(c49,X2)) ),
inference(cnf_transformation,[status(thm)],[f205]) ).
fof(f210,plain,
! [X150] :
( ~ p46(f23(c53,X150),f5(c49,c50))
| ! [X151] :
( ~ p45(f20(c52,c50),X151)
| p48(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),X150)),X151)),c60) ) ),
inference(miniscoping,[status(thm)],[f81]) ).
fof(f211,plain,
! [X0,X1] :
( ~ p46(f23(c53,X0),f5(c49,c50))
| ~ p45(f20(c52,c50),X1)
| p48(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),X0)),X1)),c60) ),
inference(cnf_transformation,[status(thm)],[f210]) ).
fof(f240,plain,
! [X0,X1,X2] :
( ~ p37(X2,X0)
| ~ p48(X2,X1)
| p48(X0,X1) ),
inference(resolution,[status(thm)],[f166,f86]) ).
fof(f260,plain,
! [X0,X1,X2] :
( ~ p7(X1,X2)
| p37(f38(X0,X1),f38(X0,X2)) ),
inference(resolution,[status(thm)],[f184,f92]) ).
fof(f261,plain,
! [X0,X1,X2] : p37(f38(X0,f8(f11(c54,f14(f17(c55,X1),f35(X2,X1))),X2)),f38(X0,X2)),
inference(resolution,[status(thm)],[f260,f169]) ).
fof(f286,plain,
! [X0] : p46(f23(c53,f35(c58,X0)),f5(c49,c50)),
inference(resolution,[status(thm)],[f206,f108]) ).
fof(f314,plain,
! [X0] :
( ~ p46(f23(c53,X0),f5(c49,c50))
| p48(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),X0)),c58)),c60) ),
inference(resolution,[status(thm)],[f211,f108]) ).
fof(f346,plain,
! [X0] : p48(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),f35(c58,X0))),c58)),c60),
inference(resolution,[status(thm)],[f314,f286]) ).
fof(f374,plain,
! [X0,X1] :
( ~ p37(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),f35(c58,X1))),c58)),X0)
| p48(X0,c60) ),
inference(resolution,[status(thm)],[f346,f240]) ).
fof(f554,plain,
p48(f38(f40(c59,c50),c58),c60),
inference(resolution,[status(thm)],[f374,f261]) ).
fof(f558,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f554,f110]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN706-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n004.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 11:12:50 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.42 % Elapsed time: 0.057504 seconds
% 0.13/0.42 % CPU time: 0.205513 seconds
% 0.13/0.42 % Total memory used: 60.431 MB
% 0.13/0.42 % Net memory used: 60.104 MB
%------------------------------------------------------------------------------