%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN657-1 : 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 : n010.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 09:39:03 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.40s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 11 unt; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 35 ( 18 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-3 aty)
% Number of variables : 33 ( 4 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(not_p6_11,axiom,
~ p6(c28,f10(c33)),
file('theBenchmark.p',not_p6_11) ).
cnf(c_11,plain,
~ p6(c28,f10(c33)),
inference(clausify,[status(thm)],[not_p6_11]) ).
fof(p6_15,axiom,
! [VAR_0,VAR_1,VAR_2] : p6(f21(f8(VAR_0,f9(VAR_1,VAR_2))),VAR_1),
file('theBenchmark.p',p6_15) ).
cnf(c_15,plain,
p6(f21(f8(A,f9(B,C))),B),
inference(clausify,[status(thm)],[p6_15]) ).
fof(p6_25,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p6(VAR_2,VAR_1)
| ~ p6(VAR_2,VAR_0)
| p6(VAR_0,VAR_1) ),
file('theBenchmark.p',p6_25) ).
cnf(c_25,plain,
( ~ p6(C,B)
| ~ p6(C,A)
| p6(A,B) ),
inference(clausify,[status(thm)],[p6_25]) ).
fof(not_p4_44,axiom,
~ p4(f5(f8(c27,f9(c28,c29)),c36,c31),f5(f8(c27,f9(c28,c29)),c36,c34)),
file('theBenchmark.p',not_p4_44) ).
cnf(c_44,plain,
~ p4(f5(f8(c27,f9(c28,c29)),c36,c31),f5(f8(c27,f9(c28,c29)),c36,c34)),
inference(clausify,[status(thm)],[not_p4_44]) ).
fof(p24_45,axiom,
! [VAR_0] :
( ~ p25(VAR_0,f18(f8(c27,f9(c28,c29))))
| p24(f19(f20(c31,c34)),f19(f20(c31,VAR_0))) ),
file('theBenchmark.p',p24_45) ).
cnf(c_45,plain,
( ~ p25(A,f18(f8(c27,f9(c28,c29))))
| p24(f19(f20(c31,c34)),f19(f20(c31,A))) ),
inference(clausify,[status(thm)],[p24_45]) ).
fof(p6_48,axiom,
! [VAR_0,VAR_1,VAR_2] :
( p4(f5(VAR_0,c36,VAR_1),f5(VAR_0,c36,VAR_2))
| p25(f22(VAR_0,VAR_1,VAR_2),f18(VAR_0))
| p6(f21(VAR_0),f10(c33)) ),
file('theBenchmark.p',p6_48) ).
cnf(c_48,plain,
( p4(f5(A,c36,B),f5(A,c36,C))
| p25(f22(A,B,C),f18(A))
| p6(f21(A),f10(c33)) ),
inference(clausify,[status(thm)],[p6_48]) ).
fof(p6_49,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p24(f19(f20(VAR_1,VAR_2)),f19(f20(VAR_1,f22(VAR_0,VAR_1,VAR_2))))
| p4(f5(VAR_0,c36,VAR_1),f5(VAR_0,c36,VAR_2))
| p6(f21(VAR_0),f10(c33)) ),
file('theBenchmark.p',p6_49) ).
cnf(c_49,plain,
( ~ p24(f19(f20(B,C)),f19(f20(B,f22(A,B,C))))
| p4(f5(A,c36,B),f5(A,c36,C))
| p6(f21(A),f10(c33)) ),
inference(clausify,[status(thm)],[p6_49]) ).
cnf(c_437,plain,
( ~ p6(A,f10(c33))
| ~ p6(A,c28) ),
inference(resolve,[status(thm)],[c_25,c_11]) ).
cnf(c_70,plain,
~ p6(f21(f8(A,f9(c28,B))),f10(c33)),
inference(resolve,[status(thm)],[c_437,c_15]) ).
cnf(c_438,plain,
( ~ p24(f19(f20(C,D)),f19(f20(C,f22(f8(A,f9(c28,B)),C,D))))
| p4(f5(f8(A,f9(c28,B)),c36,C),f5(f8(A,f9(c28,B)),c36,D)) ),
inference(resolve,[status(thm)],[c_49,c_70]) ).
cnf(c_279,plain,
~ p24(f19(f20(c31,c34)),f19(f20(c31,f22(f8(c27,f9(c28,c29)),c31,c34)))),
inference(resolve,[status(thm)],[c_438,c_44]) ).
cnf(c_435,plain,
~ p25(f22(f8(c27,f9(c28,c29)),c31,c34),f18(f8(c27,f9(c28,c29)))),
inference(resolve,[status(thm)],[c_45,c_279]) ).
cnf(c_439,plain,
( p4(f5(f8(c27,f9(c28,c29)),c36,c31),f5(f8(c27,f9(c28,c29)),c36,c34))
| p6(f21(f8(c27,f9(c28,c29))),f10(c33)) ),
inference(resolve,[status(thm)],[c_435,c_48]) ).
cnf(c_440,plain,
p4(f5(f8(c27,f9(c28,c29)),c36,c31),f5(f8(c27,f9(c28,c29)),c36,c34)),
inference(resolve,[status(thm)],[c_70,c_439]) ).
cnf(c_436,plain,
$false,
inference(resolve,[status(thm)],[c_44,c_440]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN657-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n010.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 18:19:00 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.36 % Process 3910817 was started by sandbox on n010,
% 0.10/0.36 % Sat Sep 26 18:19:00 2026
% 0.10/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.10/0.37
% 0.10/0.37 % From the command line: assign(max_seconds, 300).
% 0.10/0.40
% 0.10/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.40
% 0.10/0.40 % Proof 1 at 0.02 (+ 0.01) seconds.
% 0.10/0.40 % Length of proof is 11.
% 0.10/0.40 % Level of proof is 4.
% 0.10/0.40 % Maximum clause weight is 46.000.
% 0.10/0.40 % Given clauses 129.
% 0.10/0.40
% 0.10/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------