%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN556-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 03:16:47 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.47s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 10
% Syntax : Number of formulae : 39 ( 13 unt; 0 def)
% Number of atoms : 92 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 121 ( 68 ~; 53 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 74 ( 74 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [X15] : p3(X15,X15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
p2(c10,c13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [X1,X2,X0] :
( ~ p2(X0,X2)
| ~ p2(X0,X1)
| p2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
! [X16,X17,X15] :
( ~ p3(X15,X17)
| ~ p3(X15,X16)
| p3(X16,X17) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
p3(c9,f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
~ p3(c9,f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
! [X3,X4,X5,X6] :
( ~ p2(X4,X6)
| ~ p2(X3,X5)
| p2(f5(X3,X4),f5(X5,X6)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
! [X11,X12,X13,X14] :
( ~ p3(X11,X13)
| ~ p2(X12,X14)
| p2(f8(X11,X12),f8(X13,X14)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
! [X18,X19,X20,X21,X22,X23] :
( ~ p2(X18,X21)
| ~ p3(X20,X23)
| ~ p2(X19,X22)
| p3(f4(X18,X19,X20),f4(X21,X22,X23)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f14,plain,
! [X0] : p3(X0,X0),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f15,plain,
p2(c10,c13),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f18,plain,
! [X2,X0] :
( ~ p2(X0,X2)
| ! [X1] :
( ~ p2(X0,X1)
| p2(X1,X2) ) ),
inference(miniscoping,[status(thm)],[f6]) ).
fof(f19,plain,
! [X0,X1,X2] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f20,plain,
! [X17,X15] :
( ~ p3(X15,X17)
| ! [X16] :
( ~ p3(X15,X16)
| p3(X16,X17) ) ),
inference(miniscoping,[status(thm)],[f7]) ).
fof(f21,plain,
! [X0,X1,X2] :
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f22,plain,
p3(c9,f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11)),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f23,plain,
~ p3(c9,f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11)),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f24,plain,
! [X4,X6] :
( ~ p2(X4,X6)
| ! [X3,X5] :
( ~ p2(X3,X5)
| p2(f5(X3,X4),f5(X5,X6)) ) ),
inference(miniscoping,[status(thm)],[f10]) ).
fof(f25,plain,
! [X0,X1,X2,X3] :
( ~ p2(X1,X3)
| ~ p2(X0,X2)
| p2(f5(X0,X1),f5(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f26,plain,
! [X11,X13] :
( ~ p3(X11,X13)
| ! [X12,X14] :
( ~ p2(X12,X14)
| p2(f8(X11,X12),f8(X13,X14)) ) ),
inference(miniscoping,[status(thm)],[f11]) ).
fof(f27,plain,
! [X0,X1,X2,X3] :
( ~ p3(X0,X2)
| ~ p2(X1,X3)
| p2(f8(X0,X1),f8(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f28,plain,
! [X18,X21] :
( ~ p2(X18,X21)
| ! [X20,X23] :
( ~ p3(X20,X23)
| ! [X19,X22] :
( ~ p2(X19,X22)
| p3(f4(X18,X19,X20),f4(X21,X22,X23)) ) ) ),
inference(miniscoping,[status(thm)],[f12]) ).
fof(f29,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ p2(X0,X3)
| ~ p3(X2,X5)
| ~ p2(X1,X4)
| p3(f4(X0,X1,X2),f4(X3,X4,X5)) ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f30,plain,
! [X0] :
( ~ p3(X0,f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11))
| ~ p3(X0,c9) ),
inference(resolution,[status(thm)],[f23,f21]) ).
fof(f31,plain,
! [X0,X1] :
( ~ p3(X1,c9)
| ~ p3(X1,X0)
| ~ p3(X0,f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11)) ),
inference(resolution,[status(thm)],[f30,f21]) ).
fof(f34,plain,
! [X0] :
( ~ p3(c9,X0)
| ~ p3(X0,f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11)) ),
inference(resolution,[status(thm)],[f31,f14]) ).
fof(f35,plain,
~ p3(f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11),f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11)),
inference(resolution,[status(thm)],[f34,f22]) ).
fof(f40,plain,
( ~ p2(c13,c10)
| ~ p3(c11,c11)
| ~ p2(f5(f8(c11,c13),f6(f7(c12))),f5(f8(c11,c10),f6(f7(c12)))) ),
inference(resolution,[status(thm)],[f35,f29]) ).
fof(f42,plain,
( ~ p2(c13,c10)
| ~ p2(f5(f8(c11,c13),f6(f7(c12))),f5(f8(c11,c10),f6(f7(c12)))) ),
inference(forward_subsumption_resolution,[status(thm)],[f40,f14]) ).
fof(f48,plain,
! [X0] :
( ~ p2(X0,c10)
| ~ p2(X0,c13)
| ~ p2(f5(f8(c11,c13),f6(f7(c12))),f5(f8(c11,c10),f6(f7(c12)))) ),
inference(resolution,[status(thm)],[f42,f19]) ).
fof(f60,plain,
! [X0] :
( ~ p2(f6(f7(c12)),f6(f7(c12)))
| ~ p2(f8(c11,c13),f8(c11,c10))
| ~ p2(X0,c10)
| ~ p2(X0,c13) ),
inference(resolution,[status(thm)],[f48,f25]) ).
fof(f62,plain,
! [X0] :
( ~ p2(f8(c11,c13),f8(c11,c10))
| ~ p2(X0,c10)
| ~ p2(X0,c13) ),
inference(forward_subsumption_resolution,[status(thm)],[f60,f13]) ).
fof(f66,plain,
! [X0] :
( ~ p3(c11,c11)
| ~ p2(c13,c10)
| ~ p2(X0,c10)
| ~ p2(X0,c13) ),
inference(resolution,[status(thm)],[f62,f27]) ).
fof(f68,plain,
! [X0] :
( ~ p3(c11,c11)
| ~ p2(X0,c10)
| ~ p2(X0,c13) ),
inference(forward_subsumption_resolution,[status(thm)],[f66,f19]) ).
fof(f69,plain,
! [X0] :
( ~ p2(X0,c10)
| ~ p2(X0,c13) ),
inference(forward_subsumption_resolution,[status(thm)],[f68,f14]) ).
fof(f71,plain,
~ p2(c10,c13),
inference(resolution,[status(thm)],[f69,f13]) ).
fof(f72,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f71,f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN556-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.42 % Computer : n013.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Mon Sep 21 11:07:36 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.44 % Drodi V4.1.1
% 0.17/0.47 % Refutation found
% 0.17/0.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.49 % Elapsed time: 0.057514 seconds
% 0.17/0.49 % CPU time: 0.184759 seconds
% 0.17/0.49 % Total memory used: 37.515 MB
% 0.17/0.49 % Net memory used: 37.181 MB
%------------------------------------------------------------------------------