%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN553-1 : TPTP v9.3.1. Released v2.5.0.
% 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 09:38:49 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.38s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 13 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 16 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 47 ( 0 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p2_1,axiom,
! [VAR_0] : p2(VAR_0,VAR_0),
file('theBenchmark.p',p2_1) ).
cnf(c_1,plain,
p2(A,A),
inference(clausify,[status(thm)],[p2_1]) ).
fof(p2_5,axiom,
! [VAR_0,VAR_1] : p2(f8(VAR_0,VAR_1),f8(VAR_1,VAR_0)),
file('theBenchmark.p',p2_5) ).
cnf(c_5,plain,
p2(f8(A,B),f8(B,A)),
inference(clausify,[status(thm)],[p2_5]) ).
fof(p2_6,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p2(VAR_2,VAR_1)
| ~ p2(VAR_0,VAR_2)
| p2(VAR_0,VAR_1) ),
file('theBenchmark.p',p2_6) ).
cnf(c_6,plain,
( ~ p2(C,B)
| ~ p2(A,C)
| p2(A,B) ),
inference(clausify,[status(thm)],[p2_6]) ).
fof(p2_7,axiom,
! [VAR_0,VAR_1,VAR_2] : p2(f8(VAR_0,f8(VAR_1,VAR_2)),f8(f8(VAR_0,VAR_1),VAR_2)),
file('theBenchmark.p',p2_7) ).
cnf(c_7,plain,
p2(f8(A,f8(B,C)),f8(f8(A,B),C)),
inference(clausify,[status(thm)],[p2_7]) ).
fof(p2_8,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p2(VAR_1,VAR_3)
| ~ p2(VAR_0,VAR_2)
| p2(f8(VAR_0,VAR_1),f8(VAR_2,VAR_3)) ),
file('theBenchmark.p',p2_8) ).
cnf(c_8,plain,
( ~ p2(B,D)
| ~ p2(A,C)
| p2(f8(A,B),f8(C,D)) ),
inference(clausify,[status(thm)],[p2_8]) ).
fof(not_p2_9,axiom,
~ p2(f8(f8(f9(c4),c4),f9(c3)),f8(f9(c4),f8(f9(c3),c4))),
file('theBenchmark.p',not_p2_9) ).
cnf(c_9,plain,
~ p2(f8(f8(f9(c4),c4),f9(c3)),f8(f9(c4),f8(f9(c3),c4))),
inference(clausify,[status(thm)],[not_p2_9]) ).
cnf(c_299,plain,
( ~ p2(f8(B,A),C)
| p2(f8(A,B),C) ),
inference(resolve,[status(thm)],[c_6,c_5]) ).
cnf(c_13,plain,
p2(f8(f8(A,B),C),f8(f8(C,A),B)),
inference(resolve,[status(thm)],[c_299,c_7]) ).
cnf(c_300,plain,
( ~ p2(C,D)
| p2(f8(f8(A,B),C),f8(f8(B,A),D)) ),
inference(resolve,[status(thm)],[c_8,c_5]) ).
cnf(c_22,plain,
p2(f8(f8(A,B),C),f8(f8(B,A),C)),
inference(resolve,[status(thm)],[c_300,c_1]) ).
cnf(c_301,plain,
( ~ p2(A,f8(f9(c4),f8(f9(c3),c4)))
| ~ p2(f8(f8(f9(c4),c4),f9(c3)),A) ),
inference(resolve,[status(thm)],[c_6,c_9]) ).
cnf(c_32,plain,
~ p2(f8(f8(f9(c4),c4),f9(c3)),f8(f8(f9(c3),c4),f9(c4))),
inference(resolve,[status(thm)],[c_301,c_5]) ).
cnf(c_302,plain,
( ~ p2(f8(f8(B,A),C),D)
| p2(f8(f8(A,B),C),D) ),
inference(resolve,[status(thm)],[c_6,c_22]) ).
cnf(c_297,plain,
p2(f8(f8(A,B),C),f8(f8(C,B),A)),
inference(resolve,[status(thm)],[c_302,c_13]) ).
cnf(c_298,plain,
$false,
inference(resolve,[status(thm)],[c_297,c_32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN553-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.35 % Computer : n018.cluster.edu
% 0.06/0.35 % Model : x86_64 x86_64
% 0.06/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.35 % Memory : 8046.5625MB
% 0.06/0.35 % OS : Linux 6.8.0-71-generic
% 0.06/0.35 % CPULimit : 300
% 0.06/0.35 % WCLimit : 300
% 0.06/0.35 % DateTime : Sat Sep 26 18:15:37 UTC 2026
% 0.06/0.35 % CPUTime :
% 0.06/0.35 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.06/0.35 % Process 1086713 was started by sandbox on n018,
% 0.06/0.35 % Sat Sep 26 18:15:37 2026
% 0.06/0.35 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.06/0.36
% 0.06/0.36 % From the command line: assign(max_seconds, 300).
% 0.12/0.38
% 0.12/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.38
% 0.12/0.38 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.12/0.38 % Length of proof is 11.
% 0.12/0.38 % Level of proof is 3.
% 0.12/0.38 % Maximum clause weight is 35.000.
% 0.12/0.38 % Given clauses 29.
% 0.12/0.38
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------