%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN586-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 03:16:51 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.49s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 12 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 50 ( 29 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,negated_conjecture,
! [X13] : p2(X13,X13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
p3(c21,c19),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
! [X27,X28] :
( ~ p3(X27,X28)
| p3(f11(X27),f11(X28)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
! [X9,X10,X11,X12] :
( ~ p15(X11,X12)
| ~ p2(X12,X10)
| ~ p2(X11,X9)
| p15(X9,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
! [X16,X17,X18,X19] :
( ~ p3(X17,X19)
| ~ p2(X16,X18)
| p2(f4(X16,X17),f4(X18,X19)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),c20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19)),c20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f31,plain,
p3(c21,c19),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f38,plain,
! [X0,X1] :
( ~ p3(X0,X1)
| p3(f11(X0),f11(X1)) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f47,plain,
! [X11,X12] :
( ~ p15(X11,X12)
| ! [X10] :
( ~ p2(X12,X10)
| ! [X9] :
( ~ p2(X11,X9)
| p15(X9,X10) ) ) ),
inference(miniscoping,[status(thm)],[f17]) ).
fof(f48,plain,
! [X0,X1,X2,X3] :
( ~ p15(X2,X3)
| ~ p2(X3,X1)
| ~ p2(X2,X0)
| p15(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f52,plain,
! [X17,X19] :
( ~ p3(X17,X19)
| ! [X16,X18] :
( ~ p2(X16,X18)
| p2(f4(X16,X17),f4(X18,X19)) ) ),
inference(miniscoping,[status(thm)],[f20]) ).
fof(f53,plain,
! [X0,X1,X2,X3] :
( ~ p3(X1,X3)
| ~ p2(X0,X2)
| p2(f4(X0,X1),f4(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f56,plain,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),c20),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f57,plain,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19)),c20),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f169,plain,
! [X0,X1] :
( ~ p15(X0,X1)
| ~ p2(X1,c20)
| ~ p2(X0,f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19))) ),
inference(resolution,[status(thm)],[f57,f48]) ).
fof(f420,plain,
( ~ p2(c20,c20)
| ~ p2(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19))) ),
inference(resolution,[status(thm)],[f169,f56]) ).
fof(f424,plain,
~ p2(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19))),
inference(forward_subsumption_resolution,[status(thm)],[f420,f30]) ).
fof(f758,plain,
( ~ p3(f11(c21),f11(c19))
| ~ p2(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f6(f10(c16),f6(f7(f8(f9(c17))),c18))) ),
inference(resolution,[status(thm)],[f424,f53]) ).
fof(f760,plain,
~ p3(f11(c21),f11(c19)),
inference(forward_subsumption_resolution,[status(thm)],[f758,f30]) ).
fof(f766,plain,
~ p3(c21,c19),
inference(resolution,[status(thm)],[f760,f38]) ).
fof(f769,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f766,f31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN586-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n026.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 11:12:07 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.15/0.49 % Refutation found
% 0.15/0.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.49 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.50 % Elapsed time: 0.118161 seconds
% 0.15/0.50 % CPU time: 0.746655 seconds
% 0.15/0.50 % Total memory used: 27.243 MB
% 0.15/0.50 % Net memory used: 25.631 MB
%------------------------------------------------------------------------------