%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN601-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 03:16:53 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.39s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 37 ( 18 unt; 0 def)
% Number of atoms : 78 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 91 ( 50 ~; 41 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 68 ( 68 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p10(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [X52] : p9(X52,X52),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [X37] : p3(X37,X37),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [X30] : p2(X30,X30),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
p3(c22,c23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
p19(c21,f11(f13(f15(c21),f14(f4(c21),c22)),c24,c25)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
~ p19(c21,f11(f13(f15(c21),f14(f4(c21),c23)),c24,c25)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
! [X26,X27,X29,X28] :
( ~ p10(X28,X27)
| ~ p2(X29,X26)
| ~ p19(X29,X28)
| p19(X26,X27) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
! [X14,X15,X16,X17] :
( ~ p3(X15,X17)
| ~ p3(X14,X16)
| p12(f14(X14,X15),f14(X16,X17)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
! [X33,X34,X35,X36] :
( ~ p3(X33,X35)
| ~ p12(X34,X36)
| p2(f13(X33,X34),f13(X35,X36)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
! [X3,X4,X5,X6,X7,X8] :
( ~ p10(X5,X8)
| ~ p9(X4,X7)
| ~ p2(X3,X6)
| p10(f11(X3,X4,X5),f11(X6,X7,X8)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,plain,
! [X0] : p10(X0,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f32,plain,
! [X0] : p9(X0,X0),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f33,plain,
! [X0] : p3(X0,X0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f34,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f37,plain,
p3(c22,c23),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f57,plain,
p19(c21,f11(f13(f15(c21),f14(f4(c21),c22)),c24,c25)),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f58,plain,
~ p19(c21,f11(f13(f15(c21),f14(f4(c21),c23)),c24,c25)),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f59,plain,
! [X27,X28] :
( ~ p10(X28,X27)
| ! [X26,X29] :
( ~ p2(X29,X26)
| ~ p19(X29,X28)
| p19(X26,X27) ) ),
inference(miniscoping,[status(thm)],[f24]) ).
fof(f60,plain,
! [X0,X1,X2,X3] :
( ~ p10(X3,X1)
| ~ p2(X2,X0)
| ~ p19(X2,X3)
| p19(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f65,plain,
! [X15,X17] :
( ~ p3(X15,X17)
| ! [X14,X16] :
( ~ p3(X14,X16)
| p12(f14(X14,X15),f14(X16,X17)) ) ),
inference(miniscoping,[status(thm)],[f27]) ).
fof(f66,plain,
! [X0,X1,X2,X3] :
( ~ p3(X1,X3)
| ~ p3(X0,X2)
| p12(f14(X0,X1),f14(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f67,plain,
! [X33,X35] :
( ~ p3(X33,X35)
| ! [X34,X36] :
( ~ p12(X34,X36)
| p2(f13(X33,X34),f13(X35,X36)) ) ),
inference(miniscoping,[status(thm)],[f28]) ).
fof(f68,plain,
! [X0,X1,X2,X3] :
( ~ p3(X0,X2)
| ~ p12(X1,X3)
| p2(f13(X0,X1),f13(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f70,plain,
! [X5,X8] :
( ~ p10(X5,X8)
| ! [X4,X7] :
( ~ p9(X4,X7)
| ! [X3,X6] :
( ~ p2(X3,X6)
| p10(f11(X3,X4,X5),f11(X6,X7,X8)) ) ) ),
inference(miniscoping,[status(thm)],[f30]) ).
fof(f71,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ p10(X2,X5)
| ~ p9(X1,X4)
| ~ p2(X0,X3)
| p10(f11(X0,X1,X2),f11(X3,X4,X5)) ),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f72,plain,
! [X0,X1] :
( ~ p10(f11(f13(f15(c21),f14(f4(c21),c22)),c24,c25),X1)
| ~ p2(c21,X0)
| p19(X0,X1) ),
inference(resolution,[status(thm)],[f57,f60]) ).
fof(f75,plain,
! [X0] :
( ~ p10(f11(f13(f15(c21),f14(f4(c21),c22)),c24,c25),X0)
| p19(c21,X0) ),
inference(resolution,[status(thm)],[f72,f34]) ).
fof(f76,plain,
! [X0,X1,X2] :
( ~ p10(c25,X2)
| ~ p9(c24,X1)
| ~ p2(f13(f15(c21),f14(f4(c21),c22)),X0)
| p19(c21,f11(X0,X1,X2)) ),
inference(resolution,[status(thm)],[f75,f71]) ).
fof(f86,plain,
( ~ p10(c25,c25)
| ~ p9(c24,c24)
| ~ p2(f13(f15(c21),f14(f4(c21),c22)),f13(f15(c21),f14(f4(c21),c23))) ),
inference(resolution,[status(thm)],[f76,f58]) ).
fof(f88,plain,
( ~ p10(c25,c25)
| ~ p2(f13(f15(c21),f14(f4(c21),c22)),f13(f15(c21),f14(f4(c21),c23))) ),
inference(forward_subsumption_resolution,[status(thm)],[f86,f32]) ).
fof(f95,plain,
~ p2(f13(f15(c21),f14(f4(c21),c22)),f13(f15(c21),f14(f4(c21),c23))),
inference(forward_subsumption_resolution,[status(thm)],[f88,f31]) ).
fof(f96,plain,
( ~ p3(f15(c21),f15(c21))
| ~ p12(f14(f4(c21),c22),f14(f4(c21),c23)) ),
inference(resolution,[status(thm)],[f95,f68]) ).
fof(f98,plain,
~ p12(f14(f4(c21),c22),f14(f4(c21),c23)),
inference(forward_subsumption_resolution,[status(thm)],[f96,f33]) ).
fof(f99,plain,
( ~ p3(c22,c23)
| ~ p3(f4(c21),f4(c21)) ),
inference(resolution,[status(thm)],[f98,f66]) ).
fof(f101,plain,
~ p3(c22,c23),
inference(forward_subsumption_resolution,[status(thm)],[f99,f33]) ).
fof(f102,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f101,f37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN601-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n017.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 11:05:15 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.39 % Refutation found
% 0.10/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.42 % Elapsed time: 0.049192 seconds
% 0.10/0.42 % CPU time: 0.155715 seconds
% 0.10/0.42 % Total memory used: 56.766 MB
% 0.10/0.42 % Net memory used: 56.442 MB
%------------------------------------------------------------------------------