%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN623-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 03:16:57 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.45s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 15
% Syntax : Number of formulae : 54 ( 20 unt; 0 def)
% Number of atoms : 142 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 168 ( 80 ~; 88 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 11 con; 0-2 aty)
% Number of variables : 97 ( 97 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X58] : p8(X58,X58),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [X37] : p3(X37,X37),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [X30] : p2(X30,X30),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
p18(c26,c25),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
p3(c22,c23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
p2(c24,c25),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
~ p16(c22,c21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
p3(c23,f4(c24,c20)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
p16(f4(c19,c20),c21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
! [X38,X39,X37] :
( ~ p3(X37,X39)
| ~ p3(X37,X38)
| p3(X38,X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
! [X31,X32,X30] :
( ~ p2(X30,X32)
| ~ p2(X30,X31)
| p2(X31,X32) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
! [X21,X22] :
( ~ p16(f4(f6(c27,c25),X21),X22)
| p16(f4(c25,X21),X22) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
! [X13,X14,X15,X16] :
( ~ p16(X15,X16)
| ~ p8(X16,X14)
| ~ p3(X15,X13)
| p16(X13,X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
! [X17,X18,X19,X20] :
( ~ p16(f4(X20,f13(f15(c28,X17),X20)),f9(f11(c29,X17),X20))
| ~ p16(f4(c19,X18),X19)
| ~ p18(c26,X20)
| ~ p2(X17,X20)
| p16(f4(X17,X18),X19) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
! [X17,X18,X19,X20] :
( ~ p16(f4(c19,X18),X19)
| ~ p18(c26,X20)
| ~ p2(X17,X20)
| p16(f4(f6(c27,X20),f13(f15(c28,X17),X20)),f9(f11(c29,X17),X20))
| p16(f4(X17,X18),X19) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,plain,
! [X0] : p8(X0,X0),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f40,plain,
! [X0] : p3(X0,X0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f41,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f45,plain,
p18(c26,c25),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f46,plain,
p3(c22,c23),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f47,plain,
p2(c24,c25),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f48,plain,
~ p16(c22,c21),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f49,plain,
p3(c23,f4(c24,c20)),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f50,plain,
p16(f4(c19,c20),c21),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f59,plain,
! [X39,X37] :
( ~ p3(X37,X39)
| ! [X38] :
( ~ p3(X37,X38)
| p3(X38,X39) ) ),
inference(miniscoping,[status(thm)],[f20]) ).
fof(f60,plain,
! [X0,X1,X2] :
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f61,plain,
! [X32,X30] :
( ~ p2(X30,X32)
| ! [X31] :
( ~ p2(X30,X31)
| p2(X31,X32) ) ),
inference(miniscoping,[status(thm)],[f21]) ).
fof(f62,plain,
! [X0,X1,X2] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f69,plain,
! [X0,X1] :
( ~ p16(f4(f6(c27,c25),X0),X1)
| p16(f4(c25,X0),X1) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f70,plain,
! [X15,X16] :
( ~ p16(X15,X16)
| ! [X14] :
( ~ p8(X16,X14)
| ! [X13] :
( ~ p3(X15,X13)
| p16(X13,X14) ) ) ),
inference(miniscoping,[status(thm)],[f26]) ).
fof(f71,plain,
! [X0,X1,X2,X3] :
( ~ p16(X2,X3)
| ~ p8(X3,X1)
| ~ p3(X2,X0)
| p16(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f86,plain,
! [X17,X20] :
( ~ p16(f4(X20,f13(f15(c28,X17),X20)),f9(f11(c29,X17),X20))
| ! [X18,X19] :
( ~ p16(f4(c19,X18),X19)
| ~ p18(c26,X20)
| ~ p2(X17,X20)
| p16(f4(X17,X18),X19) ) ),
inference(miniscoping,[status(thm)],[f34]) ).
fof(f87,plain,
! [X0,X1,X2,X3] :
( ~ p16(f4(X3,f13(f15(c28,X0),X3)),f9(f11(c29,X0),X3))
| ~ p16(f4(c19,X1),X2)
| ~ p18(c26,X3)
| ~ p2(X0,X3)
| p16(f4(X0,X1),X2) ),
inference(cnf_transformation,[status(thm)],[f86]) ).
fof(f88,plain,
! [X18,X19] :
( ~ p16(f4(c19,X18),X19)
| ! [X20] :
( ~ p18(c26,X20)
| ! [X17] :
( ~ p2(X17,X20)
| p16(f4(f6(c27,X20),f13(f15(c28,X17),X20)),f9(f11(c29,X17),X20))
| p16(f4(X17,X18),X19) ) ) ),
inference(miniscoping,[status(thm)],[f35]) ).
fof(f89,plain,
! [X0,X1,X2,X3] :
( ~ p16(f4(c19,X1),X2)
| ~ p18(c26,X3)
| ~ p2(X0,X3)
| p16(f4(f6(c27,X3),f13(f15(c28,X0),X3)),f9(f11(c29,X0),X3))
| p16(f4(X0,X1),X2) ),
inference(cnf_transformation,[status(thm)],[f88]) ).
fof(f93,plain,
! [X0,X1] :
( ~ p18(c26,X1)
| ~ p2(X0,X1)
| p16(f4(f6(c27,X1),f13(f15(c28,X0),X1)),f9(f11(c29,X0),X1))
| p16(f4(X0,c20),c21) ),
inference(resolution,[status(thm)],[f89,f50]) ).
fof(f116,plain,
! [X0] :
( p16(f4(c25,f13(f15(c28,X0),c25)),f9(f11(c29,X0),c25))
| ~ p18(c26,c25)
| ~ p2(X0,c25)
| p16(f4(X0,c20),c21) ),
inference(resolution,[status(thm)],[f93,f69]) ).
fof(f118,plain,
! [X0] :
( p16(f4(c25,f13(f15(c28,X0),c25)),f9(f11(c29,X0),c25))
| ~ p2(X0,c25)
| p16(f4(X0,c20),c21) ),
inference(forward_subsumption_resolution,[status(thm)],[f116,f45]) ).
fof(f119,plain,
! [X0,X1,X2] :
( ~ p16(f4(c19,X1),X2)
| ~ p18(c26,c25)
| ~ p2(X0,c25)
| p16(f4(X0,X1),X2)
| ~ p2(X0,c25)
| p16(f4(X0,c20),c21) ),
inference(resolution,[status(thm)],[f118,f87]) ).
fof(f121,plain,
! [X0,X1,X2] :
( ~ p16(f4(c19,X1),X2)
| ~ p18(c26,c25)
| p16(f4(X0,X1),X2)
| ~ p2(X0,c25)
| p16(f4(X0,c20),c21) ),
inference(duplicate_literals_removal,[status(thm)],[f119]) ).
fof(f122,plain,
! [X0,X1,X2] :
( ~ p16(f4(c19,X1),X2)
| p16(f4(X0,X1),X2)
| ~ p2(X0,c25)
| p16(f4(X0,c20),c21) ),
inference(forward_subsumption_resolution,[status(thm)],[f121,f45]) ).
fof(f131,plain,
! [X0] :
( p16(f4(X0,c20),c21)
| ~ p2(X0,c25)
| p16(f4(X0,c20),c21) ),
inference(resolution,[status(thm)],[f122,f50]) ).
fof(f132,plain,
! [X0] :
( ~ p2(X0,c25)
| p16(f4(X0,c20),c21) ),
inference(duplicate_literals_removal,[status(thm)],[f131]) ).
fof(f134,plain,
! [X0,X1] :
( ~ p2(X1,c25)
| ~ p2(X1,X0)
| p16(f4(X0,c20),c21) ),
inference(resolution,[status(thm)],[f132,f62]) ).
fof(f138,plain,
! [X0,X1,X2,X3] :
( ~ p8(c21,X3)
| ~ p3(f4(X1,c20),X2)
| p16(X2,X3)
| ~ p2(X0,c25)
| ~ p2(X0,X1) ),
inference(resolution,[status(thm)],[f134,f71]) ).
fof(f153,plain,
! [X0,X1,X2] :
( ~ p3(f4(X1,c20),X2)
| p16(X2,c21)
| ~ p2(X0,c25)
| ~ p2(X0,X1) ),
inference(resolution,[status(thm)],[f138,f37]) ).
fof(f154,plain,
! [X0,X1] :
( ~ p3(f4(X0,c20),X1)
| p16(X1,c21)
| ~ p2(c24,X0) ),
inference(resolution,[status(thm)],[f153,f47]) ).
fof(f159,plain,
! [X0] :
( ~ p3(f4(c24,c20),X0)
| p16(X0,c21) ),
inference(resolution,[status(thm)],[f154,f41]) ).
fof(f164,plain,
! [X0,X1] :
( ~ p3(X1,X0)
| ~ p3(X1,f4(c24,c20))
| p16(X0,c21) ),
inference(resolution,[status(thm)],[f159,f60]) ).
fof(f189,plain,
! [X0] :
( ~ p3(c23,X0)
| p16(X0,c21) ),
inference(resolution,[status(thm)],[f164,f49]) ).
fof(f193,plain,
! [X0,X1] :
( ~ p3(X1,X0)
| ~ p3(X1,c23)
| p16(X0,c21) ),
inference(resolution,[status(thm)],[f189,f60]) ).
fof(f195,plain,
! [X0] :
( ~ p3(c22,X0)
| p16(X0,c21) ),
inference(resolution,[status(thm)],[f193,f46]) ).
fof(f200,plain,
p16(c22,c21),
inference(resolution,[status(thm)],[f195,f40]) ).
fof(f201,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f200,f48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN623-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.39 % Computer : n008.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Mon Sep 21 11:10:39 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.41 % Drodi V4.1.1
% 0.18/0.45 % Refutation found
% 0.18/0.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.48 % Elapsed time: 0.076125 seconds
% 0.18/0.48 % CPU time: 0.335414 seconds
% 0.18/0.48 % Total memory used: 20.624 MB
% 0.18/0.48 % Net memory used: 19.933 MB
%------------------------------------------------------------------------------