%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN590-1 : 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 : n014.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 09:38:54 AM UTC 2026
% Result : Unsatisfiable 0.39s 0.54s
% Output : CNFRefutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 10 unt; 0 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 53 ( 29 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-1 aty)
% Number of variables : 26 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(c16_is_p11_3,axiom,
p11(c16),
file('theBenchmark.p',c16_is_p11_3) ).
cnf(c_3,plain,
p11(c16),
inference(clausify,[status(thm)],[c16_is_p11_3]) ).
fof(p3_8,axiom,
p3(f4(c16),f6(c15)),
file('theBenchmark.p',p3_8) ).
cnf(c_8,plain,
p3(f4(c16),f6(c15)),
inference(clausify,[status(thm)],[p3_8]) ).
fof(p11_9,axiom,
! [VAR_0] :
( ~ p11(VAR_0)
| p11(f9(VAR_0)) ),
file('theBenchmark.p',p11_9) ).
cnf(c_9,plain,
( ~ p11(A)
| p11(f9(A)) ),
inference(clausify,[status(thm)],[p11_9]) ).
fof(p12_11,axiom,
! [VAR_0,VAR_1] :
( ~ p10(f6(VAR_0),f6(VAR_1))
| p12(VAR_0,VAR_1) ),
file('theBenchmark.p',p12_11) ).
cnf(c_11,plain,
( ~ p10(f6(A),f6(B))
| p12(A,B) ),
inference(clausify,[status(thm)],[p12_11]) ).
fof(p3_18,axiom,
! [VAR_0] :
( ~ p11(VAR_0)
| p3(f4(VAR_0),f6(f8(VAR_0))) ),
file('theBenchmark.p',p3_18) ).
cnf(c_18,plain,
( ~ p11(A)
| p3(f4(A),f6(f8(A))) ),
inference(clausify,[status(thm)],[p3_18]) ).
fof(p10_19,axiom,
! [VAR_0] :
( ~ p11(VAR_0)
| p10(f4(f9(VAR_0)),f4(VAR_0)) ),
file('theBenchmark.p',p10_19) ).
cnf(c_19,plain,
( ~ p11(A)
| p10(f4(f9(A)),f4(A)) ),
inference(clausify,[status(thm)],[p10_19]) ).
fof(not_p11_25,axiom,
! [VAR_0,VAR_1] :
( ~ p3(f4(VAR_0),f6(VAR_1))
| ~ p12(VAR_1,c15)
| ~ p11(VAR_0) ),
file('theBenchmark.p',not_p11_25) ).
cnf(c_24,plain,
( ~ p3(f4(A),f6(B))
| ~ p12(B,c15)
| ~ p11(A) ),
inference(clausify,[status(thm)],[not_p11_25]) ).
fof(p10_26,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p10(VAR_2,VAR_3)
| ~ p3(VAR_3,VAR_1)
| ~ p3(VAR_2,VAR_0)
| p10(VAR_0,VAR_1) ),
file('theBenchmark.p',p10_26) ).
cnf(c_25,plain,
( ~ p10(C,D)
| ~ p3(D,B)
| ~ p3(C,A)
| p10(A,B) ),
inference(clausify,[status(thm)],[p10_26]) ).
cnf(c_29,plain,
p11(f9(c16)),
inference(resolve,[status(thm)],[c_9,c_3]) ).
cnf(c_35,plain,
p10(f4(f9(c16)),f4(c16)),
inference(resolve,[status(thm)],[c_19,c_3]) ).
cnf(c_48,plain,
( ~ p10(f6(B),f6(c15))
| ~ p3(f4(A),f6(B))
| ~ p11(A) ),
inference(resolve,[status(thm)],[c_24,c_11]) ).
cnf(c_58,plain,
p3(f4(f9(c16)),f6(f8(f9(c16)))),
inference(resolve,[status(thm)],[c_18,c_29]) ).
cnf(c_423,plain,
( ~ p10(f6(f8(f9(c16))),f6(c15))
| ~ p11(f9(c16)) ),
inference(resolve,[status(thm)],[c_58,c_48]) ).
cnf(c_417,plain,
~ p10(f6(f8(f9(c16))),f6(c15)),
inference(resolve,[status(thm)],[c_29,c_423]) ).
cnf(c_424,plain,
( ~ p10(f4(f9(c16)),B)
| ~ p3(B,A)
| p10(f6(f8(f9(c16))),A) ),
inference(resolve,[status(thm)],[c_25,c_58]) ).
cnf(c_425,plain,
( ~ p10(f4(f9(c16)),f4(c16))
| p10(f6(f8(f9(c16))),f6(c15)) ),
inference(resolve,[status(thm)],[c_424,c_8]) ).
cnf(c_426,plain,
p10(f6(f8(f9(c16))),f6(c15)),
inference(resolve,[status(thm)],[c_425,c_35]) ).
cnf(c_422,plain,
$false,
inference(resolve,[status(thm)],[c_417,c_426]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN590-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.43 % Computer : n014.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Sat Sep 26 18:15:01 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.44 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.16/0.44 % Process 3809762 was started by sandbox2 on n014,
% 0.16/0.44 % Sat Sep 26 18:15:01 2026
% 0.16/0.44 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.16/0.44
% 0.16/0.44 % From the command line: assign(max_seconds, 300).
% 0.39/0.54
% 0.39/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.39/0.54
% 0.39/0.54 % Proof 1 at 0.05 (+ 0.03) seconds.
% 0.39/0.54 % Length of proof is 14.
% 0.39/0.54 % Level of proof is 4.
% 0.39/0.54 % Maximum clause weight is 28.000.
% 0.39/0.54 % Given clauses 109.
% 0.39/0.54
% 0.39/0.54 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------