%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SET193-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 : Sun Sep 27 08:36:00 AM UTC 2026
% Result : Unsatisfiable 2.63s 0.75s
% Output : CNFRefutation 2.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 12 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 35 ( 17 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 28 ( 2 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_subclass_property10_2,axiom,
~ subclass(x,y),
file('theBenchmark.p',prove_subclass_property10_2) ).
cnf(c_36,plain,
~ subclass(x,y),
inference(clausify,[status(thm)],[prove_subclass_property10_2]) ).
fof(prove_subclass_property10_1,axiom,
subclass(complement(y),complement(x)),
file('theBenchmark.p',prove_subclass_property10_1) ).
cnf(c_37,plain,
subclass(complement(y),complement(x)),
inference(clausify,[status(thm)],[prove_subclass_property10_1]) ).
fof(complement2,axiom,
! [VAR_0,VAR_1] :
( member(VAR_0,VAR_1)
| member(VAR_0,complement(VAR_1))
| ~ member(VAR_0,universal_class) ),
file('theBenchmark.p',complement2) ).
cnf(c_119,plain,
( member(A,B)
| member(A,complement(B))
| ~ member(A,universal_class) ),
inference(clausify,[status(thm)],[complement2]) ).
fof(complement1,axiom,
! [VAR_0,VAR_1] :
( ~ member(VAR_0,VAR_1)
| ~ member(VAR_0,complement(VAR_1)) ),
file('theBenchmark.p',complement1) ).
cnf(c_120,plain,
( ~ member(A,B)
| ~ member(A,complement(B)) ),
inference(clausify,[status(thm)],[complement1]) ).
fof(class_elements_are_sets,axiom,
! [VAR_0] : subclass(VAR_0,universal_class),
file('theBenchmark.p',class_elements_are_sets) ).
cnf(c_142,plain,
subclass(A,universal_class),
inference(clausify,[status(thm)],[class_elements_are_sets]) ).
fof(not_subclass_members2,axiom,
! [VAR_0,VAR_1] :
( subclass(VAR_0,VAR_1)
| ~ member(not_subclass_element(VAR_0,VAR_1),VAR_1) ),
file('theBenchmark.p',not_subclass_members2) ).
cnf(c_143,plain,
( subclass(A,B)
| ~ member(not_subclass_element(A,B),B) ),
inference(clausify,[status(thm)],[not_subclass_members2]) ).
fof(not_subclass_members1,axiom,
! [VAR_0,VAR_1] :
( subclass(VAR_0,VAR_1)
| member(not_subclass_element(VAR_0,VAR_1),VAR_0) ),
file('theBenchmark.p',not_subclass_members1) ).
cnf(c_144,plain,
( subclass(A,B)
| member(not_subclass_element(A,B),A) ),
inference(clausify,[status(thm)],[not_subclass_members1]) ).
fof(subclass_members,axiom,
! [VAR_0,VAR_1,VAR_2] :
( member(VAR_2,VAR_1)
| ~ member(VAR_2,VAR_0)
| ~ subclass(VAR_0,VAR_1) ),
file('theBenchmark.p',subclass_members) ).
cnf(c_145,plain,
( member(C,B)
| ~ member(C,A)
| ~ subclass(A,B) ),
inference(clausify,[status(thm)],[subclass_members]) ).
cnf(c_306,plain,
member(not_subclass_element(x,y),x),
inference(resolve,[status(thm)],[c_144,c_36]) ).
cnf(c_308,plain,
( member(A,universal_class)
| ~ member(A,B) ),
inference(resolve,[status(thm)],[c_145,c_142]) ).
cnf(c_318,plain,
( member(A,complement(x))
| ~ member(A,complement(y)) ),
inference(resolve,[status(thm)],[c_145,c_37]) ).
cnf(c_508,plain,
member(not_subclass_element(x,y),universal_class),
inference(resolve,[status(thm)],[c_306,c_308]) ).
cnf(c_517,plain,
~ member(not_subclass_element(x,y),complement(x)),
inference(resolve,[status(thm)],[c_306,c_120]) ).
cnf(c_598,plain,
( member(not_subclass_element(x,y),A)
| member(not_subclass_element(x,y),complement(A)) ),
inference(resolve,[status(thm)],[c_508,c_119]) ).
cnf(c_2176,plain,
( member(not_subclass_element(x,y),complement(x))
| member(not_subclass_element(x,y),y) ),
inference(resolve,[status(thm)],[c_598,c_318]) ).
cnf(c_2140,plain,
member(not_subclass_element(x,y),y),
inference(resolve,[status(thm)],[c_517,c_2176]) ).
cnf(c_2177,plain,
subclass(x,y),
inference(resolve,[status(thm)],[c_2140,c_143]) ).
cnf(c_2175,plain,
$false,
inference(resolve,[status(thm)],[c_36,c_2177]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET193-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n014.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Sat Sep 26 07:18:16 UTC 2026
% 0.09/0.34 % CPUTime :
% 0.09/0.34 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.34 % Process 2496772 was started by sandbox on n014,
% 0.09/0.34 % Sat Sep 26 07:18:16 2026
% 0.09/0.34 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.09/0.35
% 0.09/0.35 % From the command line: assign(max_seconds, 300).
% 2.63/0.75
% 2.63/0.75 % SZS status Unsatisfiable for theBenchmark
% 2.63/0.75
% 2.63/0.75 % Proof 1 at 0.30 (+ 0.08) seconds.
% 2.63/0.75 % Length of proof is 16.
% 2.63/0.75 % Level of proof is 5.
% 2.63/0.75 % Maximum clause weight is 21.000.
% 2.63/0.75 % Given clauses 351.
% 2.63/0.75
% 2.63/0.75 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------