%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PUZ036-1.005 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/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 01:59:57 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.67s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 21 ( 11 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 23 ( 13 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 12 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-20 aty)
% Number of functors : 20 ( 20 usr; 20 con; 0-0 aty)
% Number of variables : 200 ( 200 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
~ state(p_1,p_2,p_3,p_4,p_5,p_6,p_7,p_8,p_9,p_10,p_11,p_12,p_13,p_14,p_15,p_16,p_17,p_18,p_19,p_20),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,hypothesis,
state(p_5,p_4,p_3,p_2,p_1,p_6,p_7,p_8,p_9,p_10,p_11,p_12,p_13,p_14,p_15,p_16,p_17,p_18,p_19,p_20),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20] :
( state(X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X1)
| ~ state(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20] :
( state(X20,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19)
| ~ state(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20] :
( state(X4,X3,X2,X1,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20)
| ~ state(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,plain,
~ state(p_1,p_2,p_3,p_4,p_5,p_6,p_7,p_8,p_9,p_10,p_11,p_12,p_13,p_14,p_15,p_16,p_17,p_18,p_19,p_20),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f7,plain,
state(p_5,p_4,p_3,p_2,p_1,p_6,p_7,p_8,p_9,p_10,p_11,p_12,p_13,p_14,p_15,p_16,p_17,p_18,p_19,p_20),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f8,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19] :
( state(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X0)
| ~ state(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f9,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19] :
( state(X19,X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18)
| ~ state(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f10,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19] :
( state(X3,X2,X1,X0,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19)
| ~ state(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f16,plain,
state(p_2,p_3,p_4,p_5,p_1,p_6,p_7,p_8,p_9,p_10,p_11,p_12,p_13,p_14,p_15,p_16,p_17,p_18,p_19,p_20),
inference(resolution,[status(thm)],[f10,f7]) ).
fof(f17,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19] :
( ~ state(X19,X3,X2,X1,X0,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18)
| state(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) ),
inference(resolution,[status(thm)],[f10,f8]) ).
fof(f29,plain,
state(p_1,p_5,p_4,p_3,p_6,p_7,p_8,p_9,p_10,p_11,p_12,p_13,p_14,p_15,p_16,p_17,p_18,p_19,p_20,p_2),
inference(resolution,[status(thm)],[f17,f16]) ).
fof(f32,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19] :
( ~ state(X18,X19,X3,X2,X1,X0,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17)
| state(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) ),
inference(resolution,[status(thm)],[f17,f8]) ).
fof(f38,plain,
state(p_2,p_1,p_5,p_4,p_3,p_6,p_7,p_8,p_9,p_10,p_11,p_12,p_13,p_14,p_15,p_16,p_17,p_18,p_19,p_20),
inference(resolution,[status(thm)],[f29,f9]) ).
fof(f48,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19] :
( state(X1,X5,X4,X3,X2,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X0)
| ~ state(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) ),
inference(resolution,[status(thm)],[f32,f9]) ).
fof(f80,plain,
state(p_4,p_5,p_1,p_2,p_3,p_6,p_7,p_8,p_9,p_10,p_11,p_12,p_13,p_14,p_15,p_16,p_17,p_18,p_19,p_20),
inference(resolution,[status(thm)],[f38,f10]) ).
fof(f124,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19] :
( state(X3,X4,X5,X1,X2,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X0)
| ~ state(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19) ),
inference(resolution,[status(thm)],[f48,f10]) ).
fof(f229,plain,
state(p_20,p_4,p_5,p_1,p_2,p_3,p_6,p_7,p_8,p_9,p_10,p_11,p_12,p_13,p_14,p_15,p_16,p_17,p_18,p_19),
inference(resolution,[status(thm)],[f80,f9]) ).
fof(f472,plain,
~ state(p_20,p_4,p_5,p_1,p_2,p_3,p_6,p_7,p_8,p_9,p_10,p_11,p_12,p_13,p_14,p_15,p_16,p_17,p_18,p_19),
inference(resolution,[status(thm)],[f124,f6]) ).
fof(f476,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f472,f229]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ036-1.005 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.57 % Computer : n016.cluster.edu
% 0.10/0.57 % Model : x86_64 x86_64
% 0.10/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.57 % Memory : 8046.5625MB
% 0.10/0.57 % OS : Linux 6.8.0-71-generic
% 0.10/0.58 % CPULimit : 300
% 0.10/0.58 % WCLimit : 300
% 0.10/0.58 % DateTime : Mon Sep 21 03:51:23 UTC 2026
% 0.11/0.58 % CPUTime :
% 0.11/0.59 % Drodi V4.1.1
% 0.16/0.67 % Refutation found
% 0.16/0.67 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.67 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.70 % Elapsed time: 0.106683 seconds
% 0.16/0.70 % CPU time: 0.592319 seconds
% 0.16/0.70 % Total memory used: 87.108 MB
% 0.16/0.70 % Net memory used: 86.742 MB
%------------------------------------------------------------------------------