%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN582-1 : 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 : n012.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 09:38:53 AM UTC 2026
% Result : Unsatisfiable 0.03s 0.31s
% Output : CNFRefutation 0.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 23 ( 14 unt; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 40 ( 24 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 27 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p2_2,axiom,
! [VAR_0] : p2(VAR_0,VAR_0),
file('theBenchmark.p',p2_2) ).
cnf(c_2,plain,
p2(A,A),
inference(clausify,[status(thm)],[p2_2]) ).
fof(p5_3,axiom,
! [VAR_0] : p5(VAR_0,VAR_0),
file('theBenchmark.p',p5_3) ).
cnf(c_3,plain,
p5(A,A),
inference(clausify,[status(thm)],[p5_3]) ).
fof(p2_5,axiom,
p2(c13,c18),
file('theBenchmark.p',p2_5) ).
cnf(c_5,plain,
p2(c13,c18),
inference(clausify,[status(thm)],[p2_5]) ).
fof(p11_7,axiom,
p11(f4(f6(c15,c13)),c16),
file('theBenchmark.p',p11_7) ).
cnf(c_7,plain,
p11(f4(f6(c15,c13)),c16),
inference(clausify,[status(thm)],[p11_7]) ).
fof(not_p11_9,axiom,
~ p11(f4(f6(c15,c18)),c16),
file('theBenchmark.p',not_p11_9) ).
cnf(c_9,plain,
~ p11(f4(f6(c15,c18)),c16),
inference(clausify,[status(thm)],[not_p11_9]) ).
fof(p2_14,axiom,
! [VAR_0,VAR_1] :
( ~ p2(VAR_0,VAR_1)
| p2(f4(VAR_0),f4(VAR_1)) ),
file('theBenchmark.p',p2_14) ).
cnf(c_14,plain,
( ~ p2(A,B)
| p2(f4(A),f4(B)) ),
inference(clausify,[status(thm)],[p2_14]) ).
fof(p11_21,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p11(VAR_2,VAR_3)
| ~ p2(VAR_3,VAR_1)
| ~ p2(VAR_2,VAR_0)
| p11(VAR_0,VAR_1) ),
file('theBenchmark.p',p11_21) ).
cnf(c_21,plain,
( ~ p11(C,D)
| ~ p2(D,B)
| ~ p2(C,A)
| p11(A,B) ),
inference(clausify,[status(thm)],[p11_21]) ).
fof(p2_23,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p5(VAR_0,VAR_2)
| ~ p2(VAR_1,VAR_3)
| p2(f6(VAR_0,VAR_1),f6(VAR_2,VAR_3)) ),
file('theBenchmark.p',p2_23) ).
cnf(c_23,plain,
( ~ p5(A,C)
| ~ p2(B,D)
| p2(f6(A,B),f6(C,D)) ),
inference(clausify,[status(thm)],[p2_23]) ).
cnf(c_111,plain,
( ~ p11(A,B)
| ~ p2(B,c16)
| ~ p2(A,f4(f6(c15,c18))) ),
inference(resolve,[status(thm)],[c_21,c_9]) ).
cnf(c_112,plain,
( ~ p11(A,c16)
| ~ p2(A,f4(f6(c15,c18))) ),
inference(resolve,[status(thm)],[c_111,c_2]) ).
cnf(c_51,plain,
~ p2(f4(f6(c15,c13)),f4(f6(c15,c18))),
inference(resolve,[status(thm)],[c_112,c_7]) ).
cnf(c_109,plain,
~ p2(f6(c15,c13),f6(c15,c18)),
inference(resolve,[status(thm)],[c_14,c_51]) ).
cnf(c_113,plain,
( ~ p5(c15,c15)
| ~ p2(c13,c18) ),
inference(resolve,[status(thm)],[c_23,c_109]) ).
cnf(c_114,plain,
~ p2(c13,c18),
inference(resolve,[status(thm)],[c_113,c_3]) ).
cnf(c_110,plain,
$false,
inference(resolve,[status(thm)],[c_5,c_114]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN582-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.02 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Sat Sep 26 18:14:35 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.03/0.30 % Process 1217673 was started by sandbox on n012,
% 0.03/0.30 % Sat Sep 26 18:14:35 2026
% 0.03/0.30 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.03/0.30
% 0.03/0.30 % From the command line: assign(max_seconds, 300).
% 0.03/0.31
% 0.03/0.31 % SZS status Unsatisfiable for theBenchmark
% 0.03/0.31
% 0.03/0.31 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.03/0.31 % Length of proof is 11.
% 0.03/0.31 % Level of proof is 3.
% 0.03/0.31 % Maximum clause weight is 13.000.
% 0.03/0.31 % Given clauses 59.
% 0.03/0.31
% 0.03/0.31 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------