%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN573-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 03:16:50 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.40s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 28 ( 12 unt; 0 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 68 ( 37 ~; 31 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 46 ( 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
p12(c15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [X17] : p2(X17,X17),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
! [X18,X19,X17] :
( ~ p2(X17,X19)
| ~ p2(X17,X18)
| p2(X18,X19) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
! [X9] :
( ~ p12(X9)
| p2(X9,f9(c17))
| p11(X9,c16) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
! [X7,X8] : p11(X7,f3(f8(X8),f3(f8(X7),f5(f6(f7(c14)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
! [X0,X1,X2,X3] :
( ~ p11(X2,X3)
| ~ p2(X3,X1)
| ~ p2(X2,X0)
| p11(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
~ p11(c15,f3(f8(c16),f3(f8(f9(c17)),f5(f6(f7(c14)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
! [X4,X5,X6] :
( ~ p11(X4,X5)
| p11(X4,f3(f8(X5),f3(f8(X6),f5(f6(f7(c14)))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,plain,
p12(c15),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f24,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f35,plain,
! [X19,X17] :
( ~ p2(X17,X19)
| ! [X18] :
( ~ p2(X17,X18)
| p2(X18,X19) ) ),
inference(miniscoping,[status(thm)],[f13]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f37,plain,
! [X0] :
( ~ p12(X0)
| p2(X0,f9(c17))
| p11(X0,c16) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f39,plain,
! [X0,X1] : p11(X0,f3(f8(X1),f3(f8(X0),f5(f6(f7(c14)))))),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f40,plain,
! [X2,X3] :
( ~ p11(X2,X3)
| ! [X1] :
( ~ p2(X3,X1)
| ! [X0] :
( ~ p2(X2,X0)
| p11(X0,X1) ) ) ),
inference(miniscoping,[status(thm)],[f17]) ).
fof(f41,plain,
! [X0,X1,X2,X3] :
( ~ p11(X2,X3)
| ~ p2(X3,X1)
| ~ p2(X2,X0)
| p11(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f44,plain,
~ p11(c15,f3(f8(c16),f3(f8(f9(c17)),f5(f6(f7(c14)))))),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f47,plain,
! [X4,X5] :
( ~ p11(X4,X5)
| ! [X6] : p11(X4,f3(f8(X5),f3(f8(X6),f5(f6(f7(c14)))))) ),
inference(miniscoping,[status(thm)],[f21]) ).
fof(f48,plain,
! [X0,X1,X2] :
( ~ p11(X0,X1)
| p11(X0,f3(f8(X1),f3(f8(X2),f5(f6(f7(c14)))))) ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f49,plain,
! [X0,X1] :
( ~ p11(X0,X1)
| ~ p2(X1,f3(f8(c16),f3(f8(f9(c17)),f5(f6(f7(c14))))))
| ~ p2(X0,c15) ),
inference(resolution,[status(thm)],[f44,f41]) ).
fof(f50,plain,
~ p11(c15,c16),
inference(resolution,[status(thm)],[f48,f44]) ).
fof(f51,plain,
( ~ p12(c15)
| p2(c15,f9(c17)) ),
inference(resolution,[status(thm)],[f50,f37]) ).
fof(f53,plain,
p2(c15,f9(c17)),
inference(forward_subsumption_resolution,[status(thm)],[f51,f22]) ).
fof(f67,plain,
! [X0,X1,X2] :
( ~ p2(X2,c15)
| ~ p2(X2,X1)
| ~ p11(X1,X0)
| ~ p2(X0,f3(f8(c16),f3(f8(f9(c17)),f5(f6(f7(c14)))))) ),
inference(resolution,[status(thm)],[f49,f36]) ).
fof(f70,plain,
! [X0,X1] :
( ~ p2(c15,X1)
| ~ p11(X1,X0)
| ~ p2(X0,f3(f8(c16),f3(f8(f9(c17)),f5(f6(f7(c14)))))) ),
inference(resolution,[status(thm)],[f67,f24]) ).
fof(f78,plain,
! [X0] :
( ~ p2(c15,X0)
| ~ p11(X0,f3(f8(c16),f3(f8(f9(c17)),f5(f6(f7(c14)))))) ),
inference(resolution,[status(thm)],[f70,f24]) ).
fof(f124,plain,
~ p2(c15,f9(c17)),
inference(resolution,[status(thm)],[f78,f39]) ).
fof(f126,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f124,f53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN573-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n016.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 11:13:40 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.08/0.40 % Refutation found
% 0.08/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.08/0.43 % Elapsed time: 0.056493 seconds
% 0.08/0.43 % CPU time: 0.186374 seconds
% 0.08/0.43 % Total memory used: 11.689 MB
% 0.08/0.43 % Net memory used: 11.118 MB
%------------------------------------------------------------------------------