%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN585-1 : 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 : n018.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 0.16s 5.48s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 20 ( 12 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 17 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 25 ( 2 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p11_2,axiom,
! [VAR_0] : p11(VAR_0,VAR_0),
file('theBenchmark.p',p11_2) ).
cnf(c_2,plain,
p11(A,A),
inference(clausify,[status(thm)],[p11_2]) ).
fof(not_p2_6,axiom,
~ p2(c12,f3(c13)),
file('theBenchmark.p',not_p2_6) ).
cnf(c_6,plain,
~ p2(c12,f3(c13)),
inference(clausify,[status(thm)],[not_p2_6]) ).
fof(p11_7,axiom,
p11(c18,f9(c12,c14)),
file('theBenchmark.p',p11_7) ).
cnf(c_7,plain,
p11(c18,f9(c12,c14)),
inference(clausify,[status(thm)],[p11_7]) ).
fof(not_p11_12,axiom,
~ p11(c18,f9(c12,f8(c16,c14))),
file('theBenchmark.p',not_p11_12) ).
cnf(c_12,plain,
~ p11(c18,f9(c12,f8(c16,c14))),
inference(clausify,[status(thm)],[not_p11_12]) ).
fof(p11_13,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p11(VAR_0,VAR_2)
| p11(VAR_0,f8(VAR_1,VAR_2)) ),
file('theBenchmark.p',p11_13) ).
cnf(c_13,plain,
( ~ p11(A,C)
| p11(A,f8(B,C)) ),
inference(clausify,[status(thm)],[p11_13]) ).
fof(p11_16,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p11(VAR_2,VAR_1)
| ~ p11(VAR_0,VAR_2)
| p11(VAR_0,VAR_1) ),
file('theBenchmark.p',p11_16) ).
cnf(c_16,plain,
( ~ p11(C,B)
| ~ p11(A,C)
| p11(A,B) ),
inference(clausify,[status(thm)],[p11_16]) ).
fof(p2_26,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p11(VAR_1,VAR_2)
| p11(f9(VAR_0,VAR_1),f9(VAR_0,VAR_2))
| p2(VAR_0,f3(c13)) ),
file('theBenchmark.p',p2_26) ).
cnf(c_26,plain,
( ~ p11(B,C)
| p11(f9(A,B),f9(A,C))
| p2(A,f3(c13)) ),
inference(clausify,[status(thm)],[p2_26]) ).
cnf(c_34,plain,
p11(A,f8(B,A)),
inference(resolve,[status(thm)],[c_13,c_2]) ).
cnf(c_180,plain,
( ~ p11(A,f9(c12,f8(c16,c14)))
| ~ p11(c18,A) ),
inference(resolve,[status(thm)],[c_16,c_12]) ).
cnf(c_43,plain,
~ p11(f9(c12,c14),f9(c12,f8(c16,c14))),
inference(resolve,[status(thm)],[c_180,c_7]) ).
cnf(c_181,plain,
( ~ p11(A,B)
| p11(f9(c12,A),f9(c12,B)) ),
inference(resolve,[status(thm)],[c_26,c_6]) ).
cnf(c_182,plain,
~ p11(c14,f8(c16,c14)),
inference(resolve,[status(thm)],[c_181,c_43]) ).
cnf(c_179,plain,
$false,
inference(resolve,[status(thm)],[c_34,c_182]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN585-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/5.44 % Computer : n018.cluster.edu
% 0.16/5.44 % Model : x86_64 x86_64
% 0.16/5.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/5.44 % Memory : 8046.5625MB
% 0.16/5.44 % OS : Linux 6.8.0-71-generic
% 0.16/5.44 % CPULimit : 300
% 0.16/5.44 % WCLimit : 300
% 0.16/5.44 % DateTime : Sat Sep 26 18:17:13 UTC 2026
% 0.16/5.44 % CPUTime :
% 0.16/5.45 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.16/5.45 % Process 1088952 was started by sandbox2 on n018,
% 0.16/5.45 % Sat Sep 26 18:17:13 2026
% 0.16/5.45 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.16/5.45
% 0.16/5.45 % From the command line: assign(max_seconds, 300).
% 0.16/5.48
% 0.16/5.48 % SZS status Unsatisfiable for theBenchmark
% 0.16/5.48
% 0.16/5.48 % Proof 1 at 0.01 (+ 0.01) seconds.
% 0.16/5.48 % Length of proof is 10.
% 0.16/5.48 % Level of proof is 2.
% 0.16/5.48 % Maximum clause weight is 24.000.
% 0.16/5.48 % Given clauses 48.
% 0.16/5.48
% 0.16/5.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------