%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN675-1 : 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 : 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 09:39:05 AM UTC 2026
% Result : Unsatisfiable 0.17s 0.47s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 14 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 16 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p2_6,axiom,
! [VAR_0] : p2(VAR_0,VAR_0),
file('theBenchmark.p',p2_6) ).
cnf(c_6,plain,
p2(A,A),
inference(clausify,[status(thm)],[p2_6]) ).
fof(p25_12,axiom,
p25(c36,c33),
file('theBenchmark.p',p25_12) ).
cnf(c_12,plain,
p25(c36,c33),
inference(clausify,[status(thm)],[p25_12]) ).
fof(p25_13,axiom,
p25(c32,c36),
file('theBenchmark.p',p25_13) ).
cnf(c_13,plain,
p25(c32,c36),
inference(clausify,[status(thm)],[p25_13]) ).
fof(not_p2_19,axiom,
! [VAR_0] : ~ p2(VAR_0,f16(VAR_0,f9(f17(c31)))),
file('theBenchmark.p',not_p2_19) ).
cnf(c_19,plain,
~ p2(A,f16(A,f9(f17(c31)))),
inference(clausify,[status(thm)],[not_p2_19]) ).
fof(p2_30,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_30) ).
cnf(c_30,plain,
( ~ p2(C,B)
| ~ p2(C,A)
| p2(A,B) ),
inference(clausify,[status(thm)],[p2_30]) ).
fof(p2_40,axiom,
p2(f11(f4(c32),c34),f16(f11(f4(c36),c34),f9(f17(c31)))),
file('theBenchmark.p',p2_40) ).
cnf(c_40,plain,
p2(f11(f4(c32),c34),f16(f11(f4(c36),c34),f9(f17(c31)))),
inference(clausify,[status(thm)],[p2_40]) ).
fof(p2_50,axiom,
! [VAR_0] :
( ~ p25(c32,VAR_0)
| ~ p25(VAR_0,c33)
| p2(f11(f4(VAR_0),c34),f11(f4(c32),c34)) ),
file('theBenchmark.p',p2_50) ).
cnf(c_50,plain,
( ~ p25(c32,A)
| ~ p25(A,c33)
| p2(f11(f4(A),c34),f11(f4(c32),c34)) ),
inference(clausify,[status(thm)],[p2_50]) ).
cnf(c_75,plain,
( ~ p2(B,A)
| p2(A,B) ),
inference(resolve,[status(thm)],[c_30,c_6]) ).
cnf(c_218,plain,
( ~ p2(A,f16(B,f9(f17(c31))))
| ~ p2(A,B) ),
inference(resolve,[status(thm)],[c_30,c_19]) ).
cnf(c_100,plain,
~ p2(f11(f4(c32),c34),f11(f4(c36),c34)),
inference(resolve,[status(thm)],[c_218,c_40]) ).
cnf(c_219,plain,
( ~ p25(c32,c36)
| p2(f11(f4(c36),c34),f11(f4(c32),c34)) ),
inference(resolve,[status(thm)],[c_50,c_12]) ).
cnf(c_128,plain,
p2(f11(f4(c36),c34),f11(f4(c32),c34)),
inference(resolve,[status(thm)],[c_13,c_219]) ).
cnf(c_220,plain,
~ p2(f11(f4(c36),c34),f11(f4(c32),c34)),
inference(resolve,[status(thm)],[c_75,c_100]) ).
cnf(c_217,plain,
$false,
inference(resolve,[status(thm)],[c_128,c_220]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN675-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.42 % Computer : n020.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Sat Sep 26 18:20:19 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.17/0.43 % Process 2232671 was started by sandbox on n020,
% 0.17/0.43 % Sat Sep 26 18:20:19 2026
% 0.17/0.43 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.17/0.44
% 0.17/0.44 % From the command line: assign(max_seconds, 300).
% 0.17/0.47
% 0.17/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.47
% 0.17/0.47 % Proof 1 at 0.01 (+ 0.01) seconds.
% 0.17/0.47 % Length of proof is 11.
% 0.17/0.47 % Level of proof is 2.
% 0.17/0.47 % Maximum clause weight is 15.000.
% 0.17/0.47 % Given clauses 98.
% 0.17/0.47
% 0.17/0.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------