%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN646-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 09:39:01 AM UTC 2026
% Result : Unsatisfiable 0.14s 10.91s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 31 ( 21 unt; 0 def)
% Number of atoms : 52 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 50 ( 29 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 10 ( 3 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-1 aty)
% Number of variables : 15 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p2_5,axiom,
! [VAR_0] : p2(VAR_0,VAR_0),
file('theBenchmark.p',p2_5) ).
cnf(c_5,plain,
p2(A,A),
inference(clausify,[status(thm)],[p2_5]) ).
fof(not_p21_7,axiom,
~ p21(f17(c25),f17(c22)),
file('theBenchmark.p',not_p21_7) ).
cnf(c_7,plain,
~ p21(f17(c25),f17(c22)),
inference(clausify,[status(thm)],[not_p21_7]) ).
fof(p2_9,axiom,
p2(f12(f11(c22)),f7(c24)),
file('theBenchmark.p',p2_9) ).
cnf(c_9,plain,
p2(f12(f11(c22)),f7(c24)),
inference(clausify,[status(thm)],[p2_9]) ).
fof(p2_10,axiom,
p2(f12(f11(c25)),f7(c24)),
file('theBenchmark.p',p2_10) ).
cnf(c_10,plain,
p2(f12(f11(c25)),f7(c24)),
inference(clausify,[status(thm)],[p2_10]) ).
fof(p20_12,axiom,
p20(f14(f11(c25)),f14(f11(c22))),
file('theBenchmark.p',p20_12) ).
cnf(c_12,plain,
p20(f14(f11(c25)),f14(f11(c22))),
inference(clausify,[status(thm)],[p20_12]) ).
fof(p2_14,axiom,
p2(f13(f11(c23)),f13(f11(c22))),
file('theBenchmark.p',p2_14) ).
cnf(c_14,plain,
p2(f13(f11(c23)),f13(f11(c22))),
inference(clausify,[status(thm)],[p2_14]) ).
fof(p2_28,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_28) ).
cnf(c_28,plain,
( ~ p2(C,B)
| ~ p2(C,A)
| p2(A,B) ),
inference(clausify,[status(thm)],[p2_28]) ).
fof(p2_35,axiom,
p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
file('theBenchmark.p',p2_35) ).
cnf(c_35,plain,
p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
inference(clausify,[status(thm)],[p2_35]) ).
fof(p2_36,axiom,
p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
file('theBenchmark.p',p2_36) ).
cnf(c_36,plain,
p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
inference(clausify,[status(thm)],[p2_36]) ).
fof(p21_40,axiom,
! [VAR_0,VAR_1] :
( ~ p20(f14(f11(VAR_0)),f14(f11(VAR_1)))
| ~ p2(f13(f11(VAR_0)),f13(f11(VAR_1)))
| ~ p2(f12(f11(VAR_1)),f7(c24))
| ~ p2(f12(f11(VAR_0)),f7(c24))
| p21(f17(VAR_0),f17(VAR_1)) ),
file('theBenchmark.p',p21_40) ).
cnf(c_40,plain,
( ~ p20(f14(f11(A)),f14(f11(B)))
| ~ p2(f13(f11(A)),f13(f11(B)))
| ~ p2(f12(f11(B)),f7(c24))
| ~ p2(f12(f11(A)),f7(c24))
| p21(f17(A),f17(B)) ),
inference(clausify,[status(thm)],[p21_40]) ).
cnf(c_6221,plain,
( ~ p2(f13(f11(c23)),A)
| p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),A) ),
inference(resolve,[status(thm)],[c_28,c_35]) ).
cnf(c_103,plain,
p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f13(f11(c22))),
inference(resolve,[status(thm)],[c_6221,c_14]) ).
cnf(c_6222,plain,
( ~ p2(f13(f11(c25)),A)
| p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),A) ),
inference(resolve,[status(thm)],[c_28,c_36]) ).
cnf(c_119,plain,
p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f13(f11(c25))),
inference(resolve,[status(thm)],[c_6222,c_5]) ).
cnf(c_6223,plain,
( ~ p20(f14(f11(c25)),f14(f11(c22)))
| ~ p2(f13(f11(c25)),f13(f11(c22)))
| ~ p2(f12(f11(c22)),f7(c24))
| ~ p2(f12(f11(c25)),f7(c24)) ),
inference(resolve,[status(thm)],[c_40,c_7]) ).
cnf(c_6224,plain,
( ~ p20(f14(f11(c25)),f14(f11(c22)))
| ~ p2(f13(f11(c25)),f13(f11(c22)))
| ~ p2(f12(f11(c22)),f7(c24)) ),
inference(resolve,[status(thm)],[c_6223,c_10]) ).
cnf(c_6225,plain,
( ~ p20(f14(f11(c25)),f14(f11(c22)))
| ~ p2(f13(f11(c25)),f13(f11(c22))) ),
inference(resolve,[status(thm)],[c_6224,c_9]) ).
cnf(c_129,plain,
~ p2(f13(f11(c25)),f13(f11(c22))),
inference(resolve,[status(thm)],[c_6225,c_12]) ).
cnf(c_6226,plain,
( ~ p2(A,f13(f11(c22)))
| ~ p2(A,f13(f11(c25))) ),
inference(resolve,[status(thm)],[c_28,c_129]) ).
cnf(c_6219,plain,
~ p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f13(f11(c25))),
inference(resolve,[status(thm)],[c_6226,c_103]) ).
cnf(c_6220,plain,
$false,
inference(resolve,[status(thm)],[c_6219,c_119]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN646-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/10.58 % Computer : n006.cluster.edu
% 0.10/10.58 % Model : x86_64 x86_64
% 0.10/10.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.58 % Memory : 8046.5625MB
% 0.10/10.58 % OS : Linux 6.8.0-71-generic
% 0.10/10.58 % CPULimit : 300
% 0.10/10.58 % WCLimit : 300
% 0.10/10.58 % DateTime : Sat Sep 26 18:18:14 UTC 2026
% 0.10/10.59 % CPUTime :
% 0.10/10.59 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/10.59 % Process 1863963 was started by sandbox2 on n006,
% 0.10/10.59 % Sat Sep 26 18:18:14 2026
% 0.10/10.59 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.10/10.59
% 0.10/10.59 % From the command line: assign(max_seconds, 300).
% 0.14/10.91
% 0.14/10.91 % SZS status Unsatisfiable for theBenchmark
% 0.14/10.91
% 0.14/10.91 % Proof 1 at 0.22 (+ 0.09) seconds.
% 0.14/10.91 % Length of proof is 15.
% 0.14/10.91 % Level of proof is 3.
% 0.14/10.91 % Maximum clause weight is 79.000.
% 0.14/10.91 % Given clauses 241.
% 0.14/10.91
% 0.14/10.91 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------