%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN559-1 : 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 : n001.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 09:38:50 AM UTC 2026
% Result : Unsatisfiable 0.09s 0.38s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 28 ( 18 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 43 ( 26 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 6 !; 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(p8_2,axiom,
p8(c13,c9),
file('theBenchmark.p',p8_2) ).
cnf(c_2,plain,
p8(c13,c9),
inference(clausify,[status(thm)],[p8_2]) ).
fof(p7_3,axiom,
p7(c10,c13),
file('theBenchmark.p',p7_3) ).
cnf(c_3,plain,
p7(c10,c13),
inference(clausify,[status(thm)],[p7_3]) ).
fof(p2_4,axiom,
p2(f6(c9,c13),c14),
file('theBenchmark.p',p2_4) ).
cnf(c_4,plain,
p2(f6(c9,c13),c14),
inference(clausify,[status(thm)],[p2_4]) ).
fof(p2_5,axiom,
p2(f5(c14,c10),c15),
file('theBenchmark.p',p2_5) ).
cnf(c_5,plain,
p2(f5(c14,c10),c15),
inference(clausify,[status(thm)],[p2_5]) ).
fof(p2_6,axiom,
p2(f3(f4(c11),c12),c15),
file('theBenchmark.p',p2_6) ).
cnf(c_6,plain,
p2(f3(f4(c11),c12),c15),
inference(clausify,[status(thm)],[p2_6]) ).
fof(p2_8,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_8) ).
cnf(c_8,plain,
( ~ p2(C,B)
| ~ p2(C,A)
| p2(A,B) ),
inference(clausify,[status(thm)],[p2_8]) ).
fof(not_p8_14,axiom,
! [VAR_0,VAR_1] :
( ~ p2(f5(VAR_1,c10),f3(f4(c11),c12))
| ~ p2(f6(c9,VAR_0),VAR_1)
| ~ p7(c10,VAR_0)
| ~ p8(VAR_0,c9) ),
file('theBenchmark.p',not_p8_14) ).
cnf(c_14,plain,
( ~ p2(f5(B,c10),f3(f4(c11),c12))
| ~ p2(f6(c9,A),B)
| ~ p7(c10,A)
| ~ p8(A,c9) ),
inference(clausify,[status(thm)],[not_p8_14]) ).
cnf(c_230,plain,
( ~ p2(f3(f4(c11),c12),A)
| p2(c15,A) ),
inference(resolve,[status(thm)],[c_8,c_6]) ).
cnf(c_18,plain,
p2(c15,f3(f4(c11),c12)),
inference(resolve,[status(thm)],[c_230,c_1]) ).
cnf(c_231,plain,
( ~ p2(f5(c14,c10),A)
| p2(c15,A) ),
inference(resolve,[status(thm)],[c_8,c_5]) ).
cnf(c_19,plain,
p2(c15,f5(c14,c10)),
inference(resolve,[status(thm)],[c_231,c_1]) ).
cnf(c_232,plain,
( ~ p2(f5(c14,c10),f3(f4(c11),c12))
| ~ p7(c10,c13)
| ~ p8(c13,c9) ),
inference(resolve,[status(thm)],[c_14,c_4]) ).
cnf(c_233,plain,
( ~ p2(f5(c14,c10),f3(f4(c11),c12))
| ~ p7(c10,c13) ),
inference(resolve,[status(thm)],[c_2,c_232]) ).
cnf(c_71,plain,
~ p2(f5(c14,c10),f3(f4(c11),c12)),
inference(resolve,[status(thm)],[c_3,c_233]) ).
cnf(c_234,plain,
( ~ p2(A,f3(f4(c11),c12))
| ~ p2(A,f5(c14,c10)) ),
inference(resolve,[status(thm)],[c_8,c_71]) ).
cnf(c_181,plain,
~ p2(f3(f4(c11),c12),f5(c14,c10)),
inference(resolve,[status(thm)],[c_234,c_1]) ).
cnf(c_235,plain,
( ~ p2(A,f5(c14,c10))
| ~ p2(A,f3(f4(c11),c12)) ),
inference(resolve,[status(thm)],[c_8,c_181]) ).
cnf(c_236,plain,
~ p2(c15,f3(f4(c11),c12)),
inference(resolve,[status(thm)],[c_235,c_19]) ).
cnf(c_229,plain,
$false,
inference(resolve,[status(thm)],[c_18,c_236]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN559-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n001.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 26 18:19:28 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.36 % Process 2405691 was started by sandbox on n001,
% 0.09/0.36 % Sat Sep 26 18:19:28 2026
% 0.09/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.09/0.36
% 0.09/0.36 % From the command line: assign(max_seconds, 300).
% 0.09/0.38
% 0.09/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.38
% 0.09/0.38 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.09/0.38 % Length of proof is 13.
% 0.09/0.38 % Level of proof is 3.
% 0.09/0.38 % Maximum clause weight is 34.000.
% 0.09/0.38 % Given clauses 22.
% 0.09/0.38
% 0.09/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------