%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : COL086-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 06:57:40 AM UTC 2026
% Result : Unsatisfiable 0.17s 0.42s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 1
% Syntax : Number of formulae : 3 ( 3 unt; 0 def)
% Number of atoms : 3 ( 2 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 4 ( 2 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_happiness_2,axiom,
! [VAR_0,VAR_1] : response(a,VAR_0) != VAR_1,
file('theBenchmark.p',prove_happiness_2) ).
cnf(c_2,plain,
response(a,A) != B,
inference(clausify,[status(thm)],[prove_happiness_2]) ).
cnf(c_3,plain,
$false,
inference(copy,[status(thm)],[c_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : COL086-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.40 % Computer : n005.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Sat Sep 26 23:12:47 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.17/0.40 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.17/0.40 % Process 3344543 was started by sandbox2 on n005,
% 0.17/0.40 % Sat Sep 26 23:12:47 2026
% 0.17/0.40 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.17/0.41
% 0.17/0.41 % From the command line: assign(max_seconds, 300).
% 0.17/0.42
% 0.17/0.42 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.42
% 0.17/0.42 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.17/0.42 % Length of proof is 2.
% 0.17/0.42 % Level of proof is 1.
% 0.17/0.42 % Maximum clause weight is 0.000.
% 0.17/0.42 % Given clauses 0.
% 0.17/0.42
% 0.17/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
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