%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN586-1 : 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 : n007.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 5.64s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 12 unt; 0 def)
% Number of atoms : 37 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 39 ( 23 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 25 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p2_4,axiom,
! [VAR_0] : p2(VAR_0,VAR_0),
file('theBenchmark.p',p2_4) ).
cnf(c_4,plain,
p2(A,A),
inference(clausify,[status(thm)],[p2_4]) ).
fof(p3_5,axiom,
p3(c21,c19),
file('theBenchmark.p',p3_5) ).
cnf(c_5,plain,
p3(c21,c19),
inference(clausify,[status(thm)],[p3_5]) ).
fof(p3_12,axiom,
! [VAR_0,VAR_1] :
( ~ p3(VAR_0,VAR_1)
| p3(f11(VAR_0),f11(VAR_1)) ),
file('theBenchmark.p',p3_12) ).
cnf(c_12,plain,
( ~ p3(A,B)
| p3(f11(A),f11(B)) ),
inference(clausify,[status(thm)],[p3_12]) ).
fof(p15_17,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p15(VAR_2,VAR_3)
| ~ p2(VAR_3,VAR_1)
| ~ p2(VAR_2,VAR_0)
| p15(VAR_0,VAR_1) ),
file('theBenchmark.p',p15_17) ).
cnf(c_17,plain,
( ~ p15(C,D)
| ~ p2(D,B)
| ~ p2(C,A)
| p15(A,B) ),
inference(clausify,[status(thm)],[p15_17]) ).
fof(p2_20,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p3(VAR_1,VAR_3)
| ~ p2(VAR_0,VAR_2)
| p2(f4(VAR_0,VAR_1),f4(VAR_2,VAR_3)) ),
file('theBenchmark.p',p2_20) ).
cnf(c_20,plain,
( ~ p3(B,D)
| ~ p2(A,C)
| p2(f4(A,B),f4(C,D)) ),
inference(clausify,[status(thm)],[p2_20]) ).
fof(p15_22,axiom,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),c20),
file('theBenchmark.p',p15_22) ).
cnf(c_22,plain,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),c20),
inference(clausify,[status(thm)],[p15_22]) ).
fof(not_p15_23,axiom,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19)),c20),
file('theBenchmark.p',not_p15_23) ).
cnf(c_23,plain,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19)),c20),
inference(clausify,[status(thm)],[not_p15_23]) ).
cnf(c_32,plain,
p3(f11(c21),f11(c19)),
inference(resolve,[status(thm)],[c_12,c_5]) ).
cnf(c_113,plain,
( ~ p15(A,B)
| ~ p2(B,c20)
| ~ p2(A,f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19))) ),
inference(resolve,[status(thm)],[c_17,c_23]) ).
cnf(c_114,plain,
( ~ p15(A,c20)
| ~ p2(A,f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19))) ),
inference(resolve,[status(thm)],[c_113,c_4]) ).
cnf(c_51,plain,
~ p2(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19))),
inference(resolve,[status(thm)],[c_114,c_22]) ).
cnf(c_115,plain,
( ~ p3(f11(c21),f11(c19))
| ~ p2(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f6(f10(c16),f6(f7(f8(f9(c17))),c18))) ),
inference(resolve,[status(thm)],[c_20,c_51]) ).
cnf(c_116,plain,
~ p2(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f6(f10(c16),f6(f7(f8(f9(c17))),c18))),
inference(resolve,[status(thm)],[c_115,c_32]) ).
cnf(c_112,plain,
$false,
inference(resolve,[status(thm)],[c_4,c_116]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN586-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/5.61 % Computer : n007.cluster.edu
% 0.16/5.61 % Model : x86_64 x86_64
% 0.16/5.61 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/5.61 % Memory : 8046.5625MB
% 0.16/5.61 % OS : Linux 6.8.0-71-generic
% 0.16/5.61 % CPULimit : 300
% 0.16/5.61 % WCLimit : 300
% 0.16/5.61 % DateTime : Sat Sep 26 18:12:59 UTC 2026
% 0.16/5.61 % CPUTime :
% 0.16/5.61 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.16/5.61 % Process 184804 was started by sandbox2 on n007,
% 0.16/5.61 % Sat Sep 26 18:12:59 2026
% 0.16/5.61 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.16/5.62
% 0.16/5.62 % From the command line: assign(max_seconds, 300).
% 0.16/5.64
% 0.16/5.64 % SZS status Unsatisfiable for theBenchmark
% 0.16/5.64
% 0.16/5.64 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.16/5.64 % Length of proof is 10.
% 0.16/5.64 % Level of proof is 2.
% 0.16/5.64 % Maximum clause weight is 70.000.
% 0.16/5.64 % Given clauses 60.
% 0.16/5.64
% 0.16/5.64 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------