%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN568-1 : 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 : n011.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 09:38:51 AM UTC 2026
% Result : Unsatisfiable 0.15s 0.39s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 20 ( 12 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 31 ( 18 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 1 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(not_p11_3,axiom,
~ p11(f9(c13),f9(c14)),
file('theBenchmark.p',not_p11_3) ).
cnf(c_3,plain,
~ p11(f9(c13),f9(c14)),
inference(clausify,[status(thm)],[not_p11_3]) ).
fof(p11_4,axiom,
! [VAR_0] : p11(f5(f6(c12)),f9(VAR_0)),
file('theBenchmark.p',p11_4) ).
cnf(c_4,plain,
p11(f5(f6(c12)),f9(A)),
inference(clausify,[status(thm)],[p11_4]) ).
fof(p10_5,axiom,
! [VAR_0,VAR_1] :
( p11(VAR_1,VAR_0)
| p10(VAR_0,VAR_1) ),
file('theBenchmark.p',p10_5) ).
cnf(c_5,plain,
( p11(B,A)
| p10(A,B) ),
inference(clausify,[status(thm)],[p10_5]) ).
fof(not_p10_6,axiom,
! [VAR_0,VAR_1] :
( ~ p11(VAR_1,VAR_0)
| ~ p10(VAR_0,VAR_1) ),
file('theBenchmark.p',not_p10_6) ).
cnf(c_6,plain,
( ~ p11(B,A)
| ~ p10(A,B) ),
inference(clausify,[status(thm)],[not_p10_6]) ).
fof(not_p3_7,axiom,
~ p3(f6(f7(f8(c12))),f6(c12)),
file('theBenchmark.p',not_p3_7) ).
cnf(c_7,plain,
~ p3(f6(f7(f8(c12))),f6(c12)),
inference(clausify,[status(thm)],[not_p3_7]) ).
fof(p11_18,axiom,
p11(f4(f9(c13),f6(f7(f8(c12)))),f4(f9(c14),f6(f7(f8(c12))))),
file('theBenchmark.p',p11_18) ).
cnf(c_18,plain,
p11(f4(f9(c13),f6(f7(f8(c12)))),f4(f9(c14),f6(f7(f8(c12))))),
inference(clausify,[status(thm)],[p11_18]) ).
fof(p3_20,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p11(f5(f6(c12)),VAR_1)
| ~ p10(VAR_1,VAR_2)
| p10(f4(VAR_1,VAR_0),f4(VAR_2,VAR_0))
| p3(VAR_0,f6(c12)) ),
file('theBenchmark.p',p3_20) ).
cnf(c_20,plain,
( ~ p11(f5(f6(c12)),B)
| ~ p10(B,C)
| p10(f4(B,A),f4(C,A))
| p3(A,f6(c12)) ),
inference(clausify,[status(thm)],[p3_20]) ).
cnf(c_35,plain,
~ p10(f4(f9(c14),f6(f7(f8(c12)))),f4(f9(c13),f6(f7(f8(c12))))),
inference(resolve,[status(thm)],[c_6,c_18]) ).
cnf(c_44,plain,
( ~ p11(f5(f6(c12)),A)
| ~ p10(A,B)
| p10(f4(A,f6(f7(f8(c12)))),f4(B,f6(f7(f8(c12))))) ),
inference(resolve,[status(thm)],[c_20,c_7]) ).
cnf(c_45,plain,
( ~ p11(f5(f6(c12)),f9(c14))
| ~ p10(f9(c14),f9(c13)) ),
inference(resolve,[status(thm)],[c_44,c_35]) ).
cnf(c_42,plain,
~ p10(f9(c14),f9(c13)),
inference(resolve,[status(thm)],[c_45,c_4]) ).
cnf(c_46,plain,
p11(f9(c13),f9(c14)),
inference(resolve,[status(thm)],[c_42,c_5]) ).
cnf(c_43,plain,
$false,
inference(resolve,[status(thm)],[c_3,c_46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN568-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n011.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 26 18:14:14 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.11/0.37 % Process 1240236 was started by sandbox on n011,
% 0.11/0.37 % Sat Sep 26 18:14:14 2026
% 0.11/0.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.11/0.37
% 0.11/0.37 % From the command line: assign(max_seconds, 300).
% 0.15/0.39
% 0.15/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.39
% 0.15/0.39 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.15/0.39 % Length of proof is 10.
% 0.15/0.39 % Level of proof is 3.
% 0.15/0.39 % Maximum clause weight is 19.000.
% 0.15/0.39 % Given clauses 35.
% 0.15/0.39
% 0.15/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------