%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SET563-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 08:36:29 AM UTC 2026
% Result : Unsatisfiable 0.15s 0.50s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 10 unt; 0 def)
% Number of atoms : 18 ( 3 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-1 aty)
% Number of variables : 12 ( 2 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_compatible_function_property3_3,axiom,
~ subclass(range_of(xh1),domain_of(xh2)),
file('theBenchmark.p',prove_compatible_function_property3_3) ).
cnf(c_36,plain,
~ subclass(range_of(xh1),domain_of(xh2)),
inference(clausify,[status(thm)],[prove_compatible_function_property3_3]) ).
fof(prove_compatible_function_property3_2,axiom,
compatible(xh2,xf2,xf3),
file('theBenchmark.p',prove_compatible_function_property3_2) ).
cnf(c_37,plain,
compatible(xh2,xf2,xf3),
inference(clausify,[status(thm)],[prove_compatible_function_property3_2]) ).
fof(prove_compatible_function_property3_1,axiom,
compatible(xh1,xf1,xf2),
file('theBenchmark.p',prove_compatible_function_property3_1) ).
cnf(c_38,plain,
compatible(xh1,xf1,xf2),
inference(clausify,[status(thm)],[prove_compatible_function_property3_1]) ).
fof(compatible3,axiom,
! [VAR_0,VAR_1,VAR_2] :
( subclass(range_of(VAR_0),domain_of(domain_of(VAR_2)))
| ~ compatible(VAR_0,VAR_1,VAR_2) ),
file('theBenchmark.p',compatible3) ).
cnf(c_61,plain,
( subclass(range_of(A),domain_of(domain_of(C)))
| ~ compatible(A,B,C) ),
inference(clausify,[status(thm)],[compatible3]) ).
fof(compatible2,axiom,
! [VAR_0,VAR_1,VAR_2] :
( domain_of(domain_of(VAR_1)) = domain_of(VAR_0)
| ~ compatible(VAR_0,VAR_1,VAR_2) ),
file('theBenchmark.p',compatible2) ).
cnf(c_62,plain,
( domain_of(domain_of(B)) = domain_of(A)
| ~ compatible(A,B,C) ),
inference(clausify,[status(thm)],[compatible2]) ).
cnf(c_187,plain,
subclass(range_of(xh1),domain_of(domain_of(xf2))),
inference(resolve,[status(thm)],[c_61,c_38]) ).
cnf(c_190,plain,
domain_of(domain_of(xf2)) = domain_of(xh2),
inference(resolve,[status(thm)],[c_62,c_37]) ).
cnf(c_621,plain,
subclass(range_of(xh1),domain_of(xh2)),
inference(paramod,[status(thm)],[c_190,c_187]) ).
cnf(c_620,plain,
$false,
inference(resolve,[status(thm)],[c_36,c_621]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET563-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.38 % Computer : n009.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sat Sep 26 07:55:30 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.38 % Process 3754812 was started by sandbox2 on n009,
% 0.09/0.38 % Sat Sep 26 07:55:30 2026
% 0.09/0.38 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.15/0.40
% 0.15/0.40 % From the command line: assign(max_seconds, 300).
% 0.15/0.50
% 0.15/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.50
% 0.15/0.50 % Proof 1 at 0.07 (+ 0.02) seconds.
% 0.15/0.50 % Length of proof is 8.
% 0.15/0.50 % Level of proof is 2.
% 0.15/0.50 % Maximum clause weight is 25.000.
% 0.15/0.50 % Given clauses 158.
% 0.15/0.50
% 0.15/0.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------