%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : COL055-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.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 06:57:32 AM UTC 2026
% Result : Unsatisfiable 0.08s 5.58s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 6 ( 4 unt; 0 def)
% Number of atoms : 8 ( 7 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 5 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fond_bird_exists,axiom,
response(a,b) = b,
file('theBenchmark.p',fond_bird_exists) ).
cnf(c_1,plain,
response(a,b) = b,
inference(clausify,[status(thm)],[fond_bird_exists]) ).
fof(prove_happiness,axiom,
! [VAR_0,VAR_1] :
( response(a,VAR_1) != VAR_0
| response(a,VAR_0) != VAR_1 ),
file('theBenchmark.p',prove_happiness) ).
cnf(c_2,plain,
( response(a,B) != A
| response(a,A) != B ),
inference(clausify,[status(thm)],[prove_happiness]) ).
cnf(c_3,plain,
response(a,A) != A,
inference(factor,[status(thm)],[c_2]) ).
cnf(c_4,plain,
$false,
inference(resolve,[status(thm)],[c_3,c_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL055-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/5.57 % Computer : n002.cluster.edu
% 0.08/5.57 % Model : x86_64 x86_64
% 0.08/5.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.57 % Memory : 8046.5625MB
% 0.08/5.57 % OS : Linux 6.8.0-71-generic
% 0.08/5.57 % CPULimit : 300
% 0.08/5.57 % WCLimit : 300
% 0.08/5.57 % DateTime : Sat Sep 26 23:11:58 UTC 2026
% 0.08/5.57 % CPUTime :
% 0.08/5.57 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/5.57 % Process 2919803 was started by sandbox on n002,
% 0.08/5.57 % Sat Sep 26 23:11:58 2026
% 0.08/5.57 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.08/5.57
% 0.08/5.57 % From the command line: assign(max_seconds, 300).
% 0.08/5.58
% 0.08/5.58 % SZS status Unsatisfiable for theBenchmark
% 0.08/5.58
% 0.08/5.58 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.08/5.58 % Length of proof is 4.
% 0.08/5.58 % Level of proof is 2.
% 0.08/5.58 % Maximum clause weight is 20.000.
% 0.08/5.58 % Given clauses 0.
% 0.08/5.58
% 0.08/5.58 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------