%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : MSC005-1 : 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 : n018.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 08:04:16 AM UTC 2026
% Result : Unsatisfiable 0.18s 0.46s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 11 unt; 0 def)
% Number of atoms : 37 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 37 ( 21 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 18 ( 1 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(true_is_true,axiom,
value(truth,truth),
file('theBenchmark.p',true_is_true) ).
cnf(c_1,plain,
value(truth,truth),
inference(clausify,[status(thm)],[true_is_true]) ).
fof(false_is_false,axiom,
value(falsity,falsity),
file('theBenchmark.p',false_is_false) ).
cnf(c_2,plain,
value(falsity,falsity),
inference(clausify,[status(thm)],[false_is_false]) ).
fof(true_xor_true,axiom,
! [VAR_0,VAR_1] :
( value(xor(VAR_0,VAR_1),falsity)
| ~ value(VAR_1,truth)
| ~ value(VAR_0,truth) ),
file('theBenchmark.p',true_xor_true) ).
cnf(c_3,plain,
( value(xor(A,B),falsity)
| ~ value(B,truth)
| ~ value(A,truth) ),
inference(clausify,[status(thm)],[true_xor_true]) ).
fof(true_xor_false,axiom,
! [VAR_0,VAR_1] :
( value(xor(VAR_0,VAR_1),truth)
| ~ value(VAR_1,falsity)
| ~ value(VAR_0,truth) ),
file('theBenchmark.p',true_xor_false) ).
cnf(c_4,plain,
( value(xor(A,B),truth)
| ~ value(B,falsity)
| ~ value(A,truth) ),
inference(clausify,[status(thm)],[true_xor_false]) ).
fof(false_xor_false,axiom,
! [VAR_0,VAR_1] :
( value(xor(VAR_0,VAR_1),falsity)
| ~ value(VAR_1,falsity)
| ~ value(VAR_0,falsity) ),
file('theBenchmark.p',false_xor_false) ).
cnf(c_6,plain,
( value(xor(A,B),falsity)
| ~ value(B,falsity)
| ~ value(A,falsity) ),
inference(clausify,[status(thm)],[false_xor_false]) ).
fof(evaluate_expression,axiom,
! [VAR_0] : ~ value(xor(xor(xor(xor(truth,falsity),falsity),truth),falsity),VAR_0),
file('theBenchmark.p',evaluate_expression) ).
cnf(c_7,plain,
~ value(xor(xor(xor(xor(truth,falsity),falsity),truth),falsity),A),
inference(clausify,[status(thm)],[evaluate_expression]) ).
cnf(c_30,plain,
( value(xor(truth,A),truth)
| ~ value(A,falsity) ),
inference(resolve,[status(thm)],[c_4,c_1]) ).
cnf(c_9,plain,
value(xor(truth,falsity),truth),
inference(resolve,[status(thm)],[c_30,c_2]) ).
cnf(c_31,plain,
( value(xor(A,falsity),falsity)
| ~ value(A,falsity) ),
inference(resolve,[status(thm)],[c_6,c_2]) ).
cnf(c_16,plain,
~ value(xor(xor(xor(truth,falsity),falsity),truth),falsity),
inference(resolve,[status(thm)],[c_31,c_7]) ).
cnf(c_32,plain,
( value(xor(A,truth),falsity)
| ~ value(A,truth) ),
inference(resolve,[status(thm)],[c_3,c_1]) ).
cnf(c_25,plain,
~ value(xor(xor(truth,falsity),falsity),truth),
inference(resolve,[status(thm)],[c_32,c_16]) ).
cnf(c_33,plain,
( value(xor(A,falsity),truth)
| ~ value(A,truth) ),
inference(resolve,[status(thm)],[c_4,c_2]) ).
cnf(c_28,plain,
~ value(xor(truth,falsity),truth),
inference(resolve,[status(thm)],[c_33,c_25]) ).
cnf(c_29,plain,
$false,
inference(resolve,[status(thm)],[c_28,c_9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : MSC005-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.43 % Computer : n018.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sat Sep 26 00:16:36 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.18/0.44 % Process 3196792 was started by sandbox on n018,
% 0.18/0.44 % Sat Sep 26 00:16:36 2026
% 0.18/0.44 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.18/0.45
% 0.18/0.45 % From the command line: assign(max_seconds, 300).
% 0.18/0.46
% 0.18/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.46
% 0.18/0.46 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.18/0.46 % Length of proof is 11.
% 0.18/0.46 % Level of proof is 4.
% 0.18/0.46 % Maximum clause weight is 11.000.
% 0.18/0.46 % Given clauses 10.
% 0.18/0.46
% 0.18/0.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------