%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN710-1 : 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 : 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 09:39:10 AM UTC 2026
% Result : Unsatisfiable 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 8 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 14 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 8 con; 0-2 aty)
% Number of variables : 24 ( 2 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(not_p33_25,axiom,
~ p33(f11(c46,c50),f9(c47,c43)),
file('theBenchmark.p',not_p33_25) ).
cnf(c_25,plain,
~ p33(f11(c46,c50),f9(c47,c43)),
inference(clausify,[status(thm)],[not_p33_25]) ).
fof(p33_50,axiom,
p33(f11(c46,f13(f16(c48,c49),c50)),f9(c47,c43)),
file('theBenchmark.p',p33_50) ).
cnf(c_50,plain,
p33(f11(c46,f13(f16(c48,c49),c50)),f9(c47,c43)),
inference(clausify,[status(thm)],[p33_50]) ).
fof(p33_72,axiom,
! [VAR_0,VAR_1] :
( p33(f18(c51,f20(f22(c52,VAR_0),VAR_1)),VAR_0)
| p33(f11(c46,VAR_0),VAR_1) ),
file('theBenchmark.p',p33_72) ).
cnf(c_72,plain,
( p33(f18(c51,f20(f22(c52,A),B)),A)
| p33(f11(c46,A),B) ),
inference(clausify,[status(thm)],[p33_72]) ).
fof(p33_73,axiom,
! [VAR_0,VAR_1] :
( ~ p33(f18(c51,f20(f22(c52,VAR_0),VAR_1)),VAR_1)
| p33(f11(c46,VAR_0),VAR_1) ),
file('theBenchmark.p',p33_73) ).
cnf(c_73,plain,
( ~ p33(f18(c51,f20(f22(c52,A),B)),B)
| p33(f11(c46,A),B) ),
inference(clausify,[status(thm)],[p33_73]) ).
fof(p33_75,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p33(f18(c51,VAR_0),VAR_2)
| p33(f18(c51,VAR_0),f13(f16(c48,VAR_1),VAR_2)) ),
file('theBenchmark.p',p33_75) ).
cnf(c_75,plain,
( ~ p33(f18(c51,A),C)
| p33(f18(c51,A),f13(f16(c48,B),C)) ),
inference(clausify,[status(thm)],[p33_75]) ).
fof(p33_80,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p33(f18(c51,VAR_0),VAR_2)
| ~ p33(f11(c46,VAR_2),VAR_1)
| p33(f18(c51,VAR_0),VAR_1) ),
file('theBenchmark.p',p33_80) ).
cnf(c_78,plain,
( ~ p33(f18(c51,A),C)
| ~ p33(f11(c46,C),B)
| p33(f18(c51,A),B) ),
inference(clausify,[status(thm)],[p33_80]) ).
cnf(c_130,plain,
~ p33(f18(c51,f20(f22(c52,c50),f9(c47,c43))),f9(c47,c43)),
inference(resolve,[status(thm)],[c_73,c_25]) ).
cnf(c_131,plain,
( p33(f11(c46,A),B)
| p33(f18(c51,f20(f22(c52,A),B)),f13(f16(c48,C),A)) ),
inference(resolve,[status(thm)],[c_75,c_72]) ).
cnf(c_184,plain,
( ~ p33(f18(c51,f20(f22(c52,c50),f9(c47,c43))),A)
| ~ p33(f11(c46,A),f9(c47,c43)) ),
inference(resolve,[status(thm)],[c_78,c_130]) ).
cnf(c_148,plain,
~ p33(f18(c51,f20(f22(c52,c50),f9(c47,c43))),f13(f16(c48,c49),c50)),
inference(resolve,[status(thm)],[c_184,c_50]) ).
cnf(c_185,plain,
p33(f11(c46,c50),f9(c47,c43)),
inference(resolve,[status(thm)],[c_131,c_148]) ).
cnf(c_183,plain,
$false,
inference(resolve,[status(thm)],[c_25,c_185]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN710-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n014.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 18:21:17 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.36 % Process 3828589 was started by sandbox on n014,
% 0.09/0.36 % Sat Sep 26 18:21:17 2026
% 0.09/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.09/0.37
% 0.09/0.37 % From the command line: assign(max_seconds, 300).
% 0.13/0.39
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.39
% 0.13/0.39 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.13/0.39 % Length of proof is 10.
% 0.13/0.39 % Level of proof is 3.
% 0.13/0.39 % Maximum clause weight is 38.000.
% 0.13/0.39 % Given clauses 148.
% 0.13/0.39
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------