%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN557-1 : 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 : n014.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 0.37s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 15 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 23 ( 14 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 36 ( 0 sgn 12 !; 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(not_p2_3,axiom,
~ p2(c6,f3(c8,f5(c9))),
file('theBenchmark.p',not_p2_3) ).
cnf(c_3,plain,
~ p2(c6,f3(c8,f5(c9))),
inference(clausify,[status(thm)],[not_p2_3]) ).
fof(p2_4,axiom,
! [VAR_0,VAR_1] : p2(f3(VAR_0,VAR_1),f3(VAR_1,VAR_0)),
file('theBenchmark.p',p2_4) ).
cnf(c_4,plain,
p2(f3(A,B),f3(B,A)),
inference(clausify,[status(thm)],[p2_4]) ).
fof(p2_6,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p2(VAR_2,VAR_1)
| ~ p2(VAR_2,VAR_0)
| p2(VAR_0,VAR_1) ),
file('theBenchmark.p',p2_6) ).
cnf(c_6,plain,
( ~ p2(C,B)
| ~ p2(C,A)
| p2(A,B) ),
inference(clausify,[status(thm)],[p2_6]) ).
fof(p2_8,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p2(f3(VAR_0,VAR_2),f3(VAR_1,VAR_2))
| p2(VAR_0,VAR_1) ),
file('theBenchmark.p',p2_8) ).
cnf(c_8,plain,
( ~ p2(f3(A,C),f3(B,C))
| p2(A,B) ),
inference(clausify,[status(thm)],[p2_8]) ).
fof(p2_10,axiom,
! [VAR_0,VAR_1,VAR_2] : p2(f3(VAR_0,f3(VAR_1,VAR_2)),f3(VAR_1,f3(VAR_0,VAR_2))),
file('theBenchmark.p',p2_10) ).
cnf(c_10,plain,
p2(f3(A,f3(B,C)),f3(B,f3(A,C))),
inference(clausify,[status(thm)],[p2_10]) ).
fof(p2_12,axiom,
p2(f3(c6,f5(c7)),f3(c8,f3(f5(c7),f5(c9)))),
file('theBenchmark.p',p2_12) ).
cnf(c_12,plain,
p2(f3(c6,f5(c7)),f3(c8,f3(f5(c7),f5(c9)))),
inference(clausify,[status(thm)],[p2_12]) ).
cnf(c_17,plain,
~ p2(f3(c6,A),f3(f3(c8,f5(c9)),A)),
inference(resolve,[status(thm)],[c_8,c_3]) ).
cnf(c_67,plain,
( ~ p2(f3(B,f3(A,C)),D)
| p2(f3(A,f3(B,C)),D) ),
inference(resolve,[status(thm)],[c_6,c_10]) ).
cnf(c_20,plain,
p2(f3(A,f3(B,C)),f3(f3(A,C),B)),
inference(resolve,[status(thm)],[c_67,c_4]) ).
cnf(c_68,plain,
( ~ p2(f3(c6,f5(c7)),A)
| p2(f3(c8,f3(f5(c7),f5(c9))),A) ),
inference(resolve,[status(thm)],[c_6,c_12]) ).
cnf(c_26,plain,
p2(f3(c8,f3(f5(c7),f5(c9))),f3(c6,f5(c7))),
inference(resolve,[status(thm)],[c_68,c_1]) ).
cnf(c_69,plain,
( ~ p2(A,f3(f3(c8,f5(c9)),B))
| ~ p2(A,f3(c6,B)) ),
inference(resolve,[status(thm)],[c_6,c_17]) ).
cnf(c_65,plain,
~ p2(f3(c8,f3(A,f5(c9))),f3(c6,A)),
inference(resolve,[status(thm)],[c_69,c_20]) ).
cnf(c_66,plain,
$false,
inference(resolve,[status(thm)],[c_65,c_26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN557-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n014.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 26 18:13:33 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.12/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.12/0.36 % Process 3805994 was started by sandbox on n014,
% 0.12/0.36 % Sat Sep 26 18:13:33 2026
% 0.12/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.12/0.36
% 0.12/0.36 % From the command line: assign(max_seconds, 300).
% 0.12/0.37
% 0.12/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.37
% 0.12/0.37 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.12/0.37 % Length of proof is 12.
% 0.12/0.37 % Level of proof is 3.
% 0.12/0.37 % Maximum clause weight is 22.000.
% 0.12/0.37 % Given clauses 25.
% 0.12/0.37
% 0.12/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------