%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN347-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 09:37:39 AM UTC 2026
% Result : Unsatisfiable 0.09s 0.39s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 24 ( 4 unt; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 51 ( 21 ~; 30 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 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 : 28 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(clause1,axiom,
! [VAR_0,VAR_1] :
( f(a,b)
| ~ f(VAR_1,y(VAR_0,VAR_1))
| f(VAR_0,y(VAR_0,VAR_1)) ),
file('theBenchmark.p',clause1) ).
cnf(c_1,plain,
( f(a,b)
| ~ f(B,y(A,B))
| f(A,y(A,B)) ),
inference(clausify,[status(thm)],[clause1]) ).
fof(clause2,axiom,
! [VAR_0,VAR_1] :
( f(a,b)
| f(VAR_1,y(VAR_0,VAR_1))
| ~ f(VAR_0,y(VAR_0,VAR_1)) ),
file('theBenchmark.p',clause2) ).
cnf(c_2,plain,
( f(a,b)
| f(B,y(A,B))
| ~ f(A,y(A,B)) ),
inference(clausify,[status(thm)],[clause2]) ).
fof(clause3,axiom,
! [VAR_0,VAR_1] :
( ~ f(a,b)
| ~ f(VAR_1,y(VAR_0,VAR_1))
| ~ f(VAR_0,y(VAR_0,VAR_1)) ),
file('theBenchmark.p',clause3) ).
cnf(c_3,plain,
( ~ f(a,b)
| ~ f(B,y(A,B))
| ~ f(A,y(A,B)) ),
inference(clausify,[status(thm)],[clause3]) ).
fof(clause4,axiom,
! [VAR_0,VAR_1] :
( ~ f(a,b)
| f(VAR_1,y(VAR_0,VAR_1))
| f(VAR_0,y(VAR_0,VAR_1)) ),
file('theBenchmark.p',clause4) ).
cnf(c_4,plain,
( ~ f(a,b)
| f(B,y(A,B))
| f(A,y(A,B)) ),
inference(clausify,[status(thm)],[clause4]) ).
fof(clause5,axiom,
! [VAR_0,VAR_1] :
( f(b,y(VAR_0,VAR_1))
| f(a,y(VAR_0,VAR_1)) ),
file('theBenchmark.p',clause5) ).
cnf(c_5,plain,
( f(b,y(A,B))
| f(a,y(A,B)) ),
inference(clausify,[status(thm)],[clause5]) ).
fof(clause6,axiom,
! [VAR_0,VAR_1] :
( ~ f(b,y(VAR_0,VAR_1))
| ~ f(a,y(VAR_0,VAR_1)) ),
file('theBenchmark.p',clause6) ).
cnf(c_6,plain,
( ~ f(b,y(A,B))
| ~ f(a,y(A,B)) ),
inference(clausify,[status(thm)],[clause6]) ).
cnf(c_7,plain,
( ~ f(a,b)
| ~ f(A,y(A,A)) ),
inference(factor,[status(thm)],[c_3]) ).
cnf(c_8,plain,
( ~ f(a,b)
| f(A,y(A,A)) ),
inference(factor,[status(thm)],[c_4]) ).
cnf(c_11,plain,
( f(a,b)
| f(A,y(b,A))
| f(a,y(b,A)) ),
inference(resolve,[status(thm)],[c_5,c_2]) ).
cnf(c_13,plain,
( f(a,b)
| f(a,y(b,a)) ),
inference(factor,[status(thm)],[c_11]) ).
cnf(c_26,plain,
( f(a,b)
| f(b,y(b,a))
| f(a,b) ),
inference(resolve,[status(thm)],[c_13,c_1]) ).
cnf(c_16,plain,
( f(b,y(b,a))
| f(a,b) ),
inference(copy,[status(thm)],[c_26]) ).
cnf(c_18,plain,
( ~ f(a,y(b,a))
| f(a,b) ),
inference(resolve,[status(thm)],[c_16,c_6]) ).
cnf(c_27,plain,
( f(a,b)
| f(a,b) ),
inference(resolve,[status(thm)],[c_18,c_13]) ).
cnf(c_20,plain,
f(a,b),
inference(copy,[status(thm)],[c_27]) ).
cnf(c_24,plain,
f(A,y(A,A)),
inference(resolve,[status(thm)],[c_20,c_8]) ).
cnf(c_28,plain,
~ f(a,b),
inference(resolve,[status(thm)],[c_24,c_7]) ).
cnf(c_25,plain,
$false,
inference(resolve,[status(thm)],[c_20,c_28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN347-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n020.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 26 17:37:33 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.38 % Process 2134524 was started by sandbox on n020,
% 0.09/0.38 % Sat Sep 26 17:37:33 2026
% 0.09/0.38 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.09/0.38
% 0.09/0.38 % From the command line: assign(max_seconds, 300).
% 0.09/0.39
% 0.09/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.39
% 0.09/0.39 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.09/0.39 % Length of proof is 15.
% 0.09/0.39 % Level of proof is 7.
% 0.09/0.39 % Maximum clause weight is 13.000.
% 0.09/0.39 % Given clauses 16.
% 0.09/0.39
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------