%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN691-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : 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 03:17:06 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.59s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 34 ( 16 unt; 0 def)
% Number of atoms : 62 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 58 ( 30 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 10 con; 0-2 aty)
% Number of variables : 82 ( 82 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15,negated_conjecture,
! [X37] : p22(X37,X37),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
! [X31] : p2(X31,X31),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,negated_conjecture,
~ p39(f5(c40,f10(f13(f15(c42,c43),c44),c45)),c46),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,negated_conjecture,
! [X47,X50,X48,X49] :
( ~ p39(f17(f19(f21(c47,X47),X48),X49),X50)
| p39(X47,X50) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,negated_conjecture,
! [X107,X108,X110,X109] :
( ~ p22(X109,X108)
| ~ p4(X110,X107)
| ~ p39(X110,X109)
| p39(X107,X108) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f46,negated_conjecture,
p39(f5(c40,f7(c41,f10(f13(f15(c42,c43),c44),c45))),c46),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,negated_conjecture,
! [X118,X119,X120,X121] :
( ~ p3(X119,X121)
| ~ p2(X118,X120)
| p4(f5(X118,X119),f5(X120,X121)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f63,negated_conjecture,
! [X103,X104,X105,X106] :
( ~ p39(f5(c40,f10(f13(f15(c42,X103),X105),X106)),X104)
| p39(X103,X104) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f64,negated_conjecture,
! [X103,X105,X106,X104] :
( ~ p39(X103,X104)
| p39(f5(c40,f10(f13(f15(c42,X103),X105),X106)),X104) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f67,negated_conjecture,
! [X47,X48,X49] : p3(f7(c41,f10(f13(f15(c42,X47),X48),X49)),f10(f13(f15(c42,f17(f19(f21(c47,X47),X48),X49)),f26(f28(f30(c48,X47),X48),X49)),f34(f36(f38(c49,X47),X48),X49))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f82,plain,
! [X0] : p22(X0,X0),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f84,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f131,plain,
~ p39(f5(c40,f10(f13(f15(c42,c43),c44),c45)),c46),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f132,plain,
! [X47,X50] :
( ! [X48,X49] : ~ p39(f17(f19(f21(c47,X47),X48),X49),X50)
| p39(X47,X50) ),
inference(miniscoping,[status(thm)],[f44]) ).
fof(f133,plain,
! [X0,X1,X2,X3] :
( ~ p39(f17(f19(f21(c47,X0),X2),X3),X1)
| p39(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f132]) ).
fof(f134,plain,
! [X108,X109] :
( ~ p22(X109,X108)
| ! [X107,X110] :
( ~ p4(X110,X107)
| ~ p39(X110,X109)
| p39(X107,X108) ) ),
inference(miniscoping,[status(thm)],[f45]) ).
fof(f135,plain,
! [X0,X1,X2,X3] :
( ~ p22(X3,X1)
| ~ p4(X2,X0)
| ~ p39(X2,X3)
| p39(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f136,plain,
p39(f5(c40,f7(c41,f10(f13(f15(c42,c43),c44),c45))),c46),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f143,plain,
! [X119,X121] :
( ~ p3(X119,X121)
| ! [X118,X120] :
( ~ p2(X118,X120)
| p4(f5(X118,X119),f5(X120,X121)) ) ),
inference(miniscoping,[status(thm)],[f50]) ).
fof(f144,plain,
! [X0,X1,X2,X3] :
( ~ p3(X1,X3)
| ~ p2(X0,X2)
| p4(f5(X0,X1),f5(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f143]) ).
fof(f169,plain,
! [X103,X104] :
( ! [X105,X106] : ~ p39(f5(c40,f10(f13(f15(c42,X103),X105),X106)),X104)
| p39(X103,X104) ),
inference(miniscoping,[status(thm)],[f63]) ).
fof(f170,plain,
! [X0,X1,X2,X3] :
( ~ p39(f5(c40,f10(f13(f15(c42,X0),X2),X3)),X1)
| p39(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f169]) ).
fof(f171,plain,
! [X103,X104] :
( ~ p39(X103,X104)
| ! [X105,X106] : p39(f5(c40,f10(f13(f15(c42,X103),X105),X106)),X104) ),
inference(miniscoping,[status(thm)],[f64]) ).
fof(f172,plain,
! [X0,X1,X2,X3] :
( ~ p39(X0,X3)
| p39(f5(c40,f10(f13(f15(c42,X0),X1),X2)),X3) ),
inference(cnf_transformation,[status(thm)],[f171]) ).
fof(f175,plain,
! [X0,X1,X2] : p3(f7(c41,f10(f13(f15(c42,X0),X1),X2)),f10(f13(f15(c42,f17(f19(f21(c47,X0),X1),X2)),f26(f28(f30(c48,X0),X1),X2)),f34(f36(f38(c49,X0),X1),X2))),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f199,plain,
! [X0,X1] :
( ~ p22(c46,X1)
| ~ p4(f5(c40,f7(c41,f10(f13(f15(c42,c43),c44),c45))),X0)
| p39(X0,X1) ),
inference(resolution,[status(thm)],[f136,f135]) ).
fof(f205,plain,
! [X0,X1,X2] :
( ~ p3(X1,X2)
| p4(f5(X0,X1),f5(X0,X2)) ),
inference(resolution,[status(thm)],[f144,f84]) ).
fof(f233,plain,
! [X0,X1,X2,X3] : p4(f5(X0,f7(c41,f10(f13(f15(c42,X1),X2),X3))),f5(X0,f10(f13(f15(c42,f17(f19(f21(c47,X1),X2),X3)),f26(f28(f30(c48,X1),X2),X3)),f34(f36(f38(c49,X1),X2),X3)))),
inference(resolution,[status(thm)],[f175,f205]) ).
fof(f253,plain,
! [X0] :
( ~ p22(c46,X0)
| p39(f5(c40,f10(f13(f15(c42,f17(f19(f21(c47,c43),c44),c45)),f26(f28(f30(c48,c43),c44),c45)),f34(f36(f38(c49,c43),c44),c45))),X0) ),
inference(resolution,[status(thm)],[f233,f199]) ).
fof(f261,plain,
p39(f5(c40,f10(f13(f15(c42,f17(f19(f21(c47,c43),c44),c45)),f26(f28(f30(c48,c43),c44),c45)),f34(f36(f38(c49,c43),c44),c45))),c46),
inference(resolution,[status(thm)],[f253,f82]) ).
fof(f262,plain,
p39(f17(f19(f21(c47,c43),c44),c45),c46),
inference(resolution,[status(thm)],[f261,f170]) ).
fof(f270,plain,
p39(c43,c46),
inference(resolution,[status(thm)],[f262,f133]) ).
fof(f273,plain,
! [X0,X1] : p39(f5(c40,f10(f13(f15(c42,c43),X0),X1)),c46),
inference(resolution,[status(thm)],[f270,f172]) ).
fof(f281,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f131,f273]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN691-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.55 % Computer : n007.cluster.edu
% 0.09/0.55 % Model : x86_64 x86_64
% 0.09/0.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.55 % Memory : 8046.5625MB
% 0.09/0.55 % OS : Linux 6.8.0-71-generic
% 0.09/0.55 % CPULimit : 300
% 0.09/0.55 % WCLimit : 300
% 0.09/0.55 % DateTime : Mon Sep 21 11:10:06 UTC 2026
% 0.09/0.56 % CPUTime :
% 0.09/0.57 % Drodi V4.1.1
% 0.13/0.59 % Refutation found
% 0.13/0.59 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.59 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.61 % Elapsed time: 0.051029 seconds
% 0.13/0.61 % CPU time: 0.165261 seconds
% 0.13/0.61 % Total memory used: 55.204 MB
% 0.13/0.61 % Net memory used: 55.124 MB
%------------------------------------------------------------------------------