%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN572-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 03:16:49 PM UTC 2026
% Result : Unsatisfiable 5.52s 1.15s
% Output : CNFRefutation 5.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of formulae : 43 ( 23 unt; 0 def)
% Number of atoms : 79 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 74 ( 38 ~; 36 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 100 ( 100 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X6] : p2(X6,X6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [X22] : p4(X22,X22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [X27] : p4(f10(f9(X27)),f10(X27)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [X13] : p2(f3(X13,f5(f7(f8(c13)))),X13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
! [X25,X26] :
( ~ p2(X25,X26)
| p4(f10(X25),f10(X26)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
! [X14] : p2(f3(X14,f9(X14)),f5(f7(f8(c13)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
! [X7,X8,X6] :
( ~ p2(X6,X8)
| ~ p2(X6,X7)
| p2(X7,X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
! [X4,X5] : p12(f10(f3(X4,X5)),f11(f10(X4),f10(X5))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
~ p12(f10(c14),f11(f10(f3(c14,c15)),f10(c15))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
! [X15,X16,X17] : p2(f3(X15,f3(X16,X17)),f3(f3(X15,X16),X17)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
! [X0,X1,X2,X3] :
( ~ p12(X2,X3)
| ~ p4(X3,X1)
| ~ p4(X2,X0)
| p12(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
! [X28,X29,X30,X31] :
( ~ p4(X29,X31)
| ~ p4(X28,X30)
| p4(f11(X28,X29),f11(X30,X31)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
! [X9,X10,X11,X12] :
( ~ p2(X10,X12)
| ~ p2(X9,X11)
| p2(f3(X9,X10),f3(X11,X12)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f23,plain,
! [X0] : p4(X0,X0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f24,plain,
! [X0] : p4(f10(f9(X0)),f10(X0)),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f25,plain,
! [X0] : p2(f3(X0,f5(f7(f8(c13)))),X0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f29,plain,
! [X0,X1] :
( ~ p2(X0,X1)
| p4(f10(X0),f10(X1)) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f31,plain,
! [X0] : p2(f3(X0,f9(X0)),f5(f7(f8(c13)))),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f32,plain,
! [X8,X6] :
( ~ p2(X6,X8)
| ! [X7] :
( ~ p2(X6,X7)
| p2(X7,X8) ) ),
inference(miniscoping,[status(thm)],[f12]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f38,plain,
! [X0,X1] : p12(f10(f3(X0,X1)),f11(f10(X0),f10(X1))),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f39,plain,
~ p12(f10(c14),f11(f10(f3(c14,c15)),f10(c15))),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f40,plain,
! [X0,X1,X2] : p2(f3(X0,f3(X1,X2)),f3(f3(X0,X1),X2)),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f41,plain,
! [X2,X3] :
( ~ p12(X2,X3)
| ! [X1] :
( ~ p4(X3,X1)
| ! [X0] :
( ~ p4(X2,X0)
| p12(X0,X1) ) ) ),
inference(miniscoping,[status(thm)],[f18]) ).
fof(f42,plain,
! [X0,X1,X2,X3] :
( ~ p12(X2,X3)
| ~ p4(X3,X1)
| ~ p4(X2,X0)
| p12(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f43,plain,
! [X29,X31] :
( ~ p4(X29,X31)
| ! [X28,X30] :
( ~ p4(X28,X30)
| p4(f11(X28,X29),f11(X30,X31)) ) ),
inference(miniscoping,[status(thm)],[f19]) ).
fof(f44,plain,
! [X0,X1,X2,X3] :
( ~ p4(X1,X3)
| ~ p4(X0,X2)
| p4(f11(X0,X1),f11(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f45,plain,
! [X10,X12] :
( ~ p2(X10,X12)
| ! [X9,X11] :
( ~ p2(X9,X11)
| p2(f3(X9,X10),f3(X11,X12)) ) ),
inference(miniscoping,[status(thm)],[f20]) ).
fof(f46,plain,
! [X0,X1,X2,X3] :
( ~ p2(X1,X3)
| ~ p2(X0,X2)
| p2(f3(X0,X1),f3(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f59,plain,
! [X0,X1] :
( ~ p2(f3(X1,f5(f7(f8(c13)))),X0)
| p2(X0,X1) ),
inference(resolution,[status(thm)],[f33,f25]) ).
fof(f166,plain,
! [X0,X1,X2,X3] :
( ~ p2(f3(X1,f3(X2,X3)),X0)
| p2(X0,f3(f3(X1,X2),X3)) ),
inference(resolution,[status(thm)],[f40,f33]) ).
fof(f171,plain,
! [X0,X1,X2,X3] :
( ~ p4(f11(f10(X2),f10(X3)),X1)
| ~ p4(f10(f3(X2,X3)),X0)
| p12(X0,X1) ),
inference(resolution,[status(thm)],[f42,f38]) ).
fof(f195,plain,
! [X0,X1,X2] :
( ~ p4(X0,X2)
| p4(f11(X0,f10(f9(X1))),f11(X2,f10(X1))) ),
inference(resolution,[status(thm)],[f44,f24]) ).
fof(f204,plain,
! [X0,X1,X2] :
( ~ p2(X0,X2)
| p2(f3(X0,f3(X1,f9(X1))),f3(X2,f5(f7(f8(c13))))) ),
inference(resolution,[status(thm)],[f46,f31]) ).
fof(f737,plain,
! [X0,X1] : p4(f11(X0,f10(f9(X1))),f11(X0,f10(X1))),
inference(resolution,[status(thm)],[f195,f23]) ).
fof(f759,plain,
! [X0,X1,X2] :
( ~ p4(f10(f3(X1,f9(X2))),X0)
| p12(X0,f11(f10(X1),f10(X2))) ),
inference(resolution,[status(thm)],[f737,f171]) ).
fof(f855,plain,
! [X0,X1] : p2(f3(X0,f3(X1,f9(X1))),f3(X0,f5(f7(f8(c13))))),
inference(resolution,[status(thm)],[f204,f21]) ).
fof(f5191,plain,
! [X0,X1] : p2(f3(X0,f5(f7(f8(c13)))),f3(f3(X0,X1),f9(X1))),
inference(resolution,[status(thm)],[f855,f166]) ).
fof(f6983,plain,
! [X0,X1] : p2(f3(f3(X0,X1),f9(X1)),X0),
inference(resolution,[status(thm)],[f5191,f59]) ).
fof(f7027,plain,
! [X0,X1] : p4(f10(f3(f3(X0,X1),f9(X1))),f10(X0)),
inference(resolution,[status(thm)],[f6983,f29]) ).
fof(f7212,plain,
! [X0,X1] : p12(f10(X0),f11(f10(f3(X0,X1)),f10(X1))),
inference(resolution,[status(thm)],[f7027,f759]) ).
fof(f8604,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f39,f7212]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN572-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n019.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 11:09:06 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 5.52/1.15 % Refutation found
% 5.52/1.15 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 5.52/1.15 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 5.52/1.18 % Elapsed time: 0.800692 seconds
% 5.52/1.18 % CPU time: 6.031788 seconds
% 5.52/1.18 % Total memory used: 128.376 MB
% 5.52/1.18 % Net memory used: 107.468 MB
%------------------------------------------------------------------------------