%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN584-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 0.10s 0.40s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 13 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 40 ( 21 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 8 ( 3 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-2 aty)
% Number of variables : 29 ( 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p12(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [X26] : p3(X26,X26),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
! [X1,X2,X0] :
( ~ p12(X0,X2)
| ~ p12(X0,X1)
| p12(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
! [X11,X12,X13,X14] :
( ~ p12(X13,X11)
| ~ p3(X14,X12)
| ~ p15(X13,X14)
| p15(X11,X12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
p15(c22,f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
p12(f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)),c22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
~ p15(f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)),f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,plain,
! [X0] : p12(X0,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f29,plain,
! [X0] : p3(X0,X0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f34,plain,
! [X2,X0] :
( ~ p12(X0,X2)
| ! [X1] :
( ~ p12(X0,X1)
| p12(X1,X2) ) ),
inference(miniscoping,[status(thm)],[f9]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ~ p12(X2,X1)
| ~ p12(X2,X0)
| p12(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f46,plain,
! [X11,X13] :
( ~ p12(X13,X11)
| ! [X12,X14] :
( ~ p3(X14,X12)
| ~ p15(X13,X14)
| p15(X11,X12) ) ),
inference(miniscoping,[status(thm)],[f15]) ).
fof(f47,plain,
! [X0,X1,X2,X3] :
( ~ p12(X2,X0)
| ~ p3(X3,X1)
| ~ p15(X2,X3)
| p15(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f58,plain,
p15(c22,f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))))),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f60,plain,
p12(f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)),c22),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f62,plain,
~ p15(f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)),f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))))),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f82,plain,
! [X0,X1] :
( ~ p12(c22,X0)
| ~ p3(f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20)))))),X1)
| p15(X0,X1) ),
inference(resolution,[status(thm)],[f58,f47]) ).
fof(f88,plain,
! [X0] :
( ~ p12(f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)),X0)
| p12(c22,X0) ),
inference(resolution,[status(thm)],[f60,f35]) ).
fof(f89,plain,
! [X0] :
( ~ p12(c22,X0)
| p15(X0,f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))))) ),
inference(resolution,[status(thm)],[f82,f29]) ).
fof(f107,plain,
p12(c22,f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17))),
inference(resolution,[status(thm)],[f88,f26]) ).
fof(f108,plain,
p15(f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)),f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))))),
inference(resolution,[status(thm)],[f107,f89]) ).
fof(f114,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f108,f62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN584-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n011.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 11:09:10 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.40 % Refutation found
% 0.10/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.42 % Elapsed time: 0.047975 seconds
% 0.10/0.42 % CPU time: 0.148582 seconds
% 0.10/0.42 % Total memory used: 54.574 MB
% 0.10/0.42 % Net memory used: 54.295 MB
%------------------------------------------------------------------------------