%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN009-4 : 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 : n019.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 09:36:15 AM UTC 2026
% Result : Unsatisfiable 0.08s 0.38s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 7
% Syntax : Number of formulae : 35 ( 6 unt; 0 def)
% Number of atoms : 196 ( 0 equ)
% Maximal formula atoms : 15 ( 5 avg)
% Number of connectives : 305 ( 144 ~; 161 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 84 ( 0 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(clause_8,axiom,
! [VAR_0,VAR_1,VAR_2] :
( r(VAR_0,VAR_1,VAR_2)
| q(VAR_0,VAR_1,VAR_2)
| p(VAR_0,VAR_1,VAR_2)
| ~ s(VAR_2)
| ~ s(VAR_1)
| ~ s(VAR_0) ),
file('theBenchmark.p',clause_8) ).
cnf(c_1,plain,
( r(A,B,C)
| q(A,B,C)
| p(A,B,C)
| ~ s(C)
| ~ s(B)
| ~ s(A) ),
inference(clausify,[status(thm)],[clause_8]) ).
fof(clause_1,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ m(VAR_0,VAR_1,VAR_2)
| ~ p(VAR_0,VAR_1,VAR_2) ),
file('theBenchmark.p',clause_1) ).
cnf(c_2,plain,
( ~ m(A,B,C)
| ~ p(A,B,C) ),
inference(clausify,[status(thm)],[clause_1]) ).
fof(clause_9,axiom,
! [VAR_0,VAR_1,VAR_2] :
( n(VAR_0,VAR_1,VAR_2)
| m(VAR_0,VAR_1,VAR_2)
| ~ s(VAR_2)
| ~ s(VAR_1)
| ~ s(VAR_0) ),
file('theBenchmark.p',clause_9) ).
cnf(c_3,plain,
( n(A,B,C)
| m(A,B,C)
| ~ s(C)
| ~ s(B)
| ~ s(A) ),
inference(clausify,[status(thm)],[clause_9]) ).
cnf(c_4,plain,
( ~ m(A,B,C)
| r(A,B,C)
| q(A,B,C)
| ~ s(C)
| ~ s(B)
| ~ s(A) ),
inference(resolve,[status(thm)],[c_1,c_2]) ).
fof(clause_3,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ m(VAR_0,VAR_1,VAR_2)
| ~ r(VAR_0,VAR_1,VAR_2) ),
file('theBenchmark.p',clause_3) ).
cnf(c_5,plain,
( ~ m(A,B,C)
| ~ r(A,B,C) ),
inference(clausify,[status(thm)],[clause_3]) ).
fof(clause_2,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ m(VAR_0,VAR_1,VAR_2)
| ~ q(VAR_0,VAR_1,VAR_2) ),
file('theBenchmark.p',clause_2) ).
cnf(c_6,plain,
( ~ m(A,B,C)
| ~ q(A,B,C) ),
inference(clausify,[status(thm)],[clause_2]) ).
cnf(c_7,plain,
( r(A,B,C)
| q(A,B,C)
| ~ s(C)
| ~ s(B)
| ~ s(A)
| n(A,B,C)
| ~ s(C)
| ~ s(B)
| ~ s(A) ),
inference(resolve,[status(thm)],[c_3,c_4]) ).
cnf(c_8,plain,
( n(A,B,C)
| ~ s(C)
| ~ s(B)
| ~ s(A)
| ~ q(A,B,C) ),
inference(resolve,[status(thm)],[c_6,c_3]) ).
cnf(c_9,plain,
( n(A,B,C)
| ~ s(C)
| ~ s(B)
| ~ s(A)
| ~ r(A,B,C) ),
inference(resolve,[status(thm)],[c_5,c_3]) ).
cnf(c_10,plain,
( n(A,B,C)
| ~ s(C)
| ~ s(B)
| ~ s(A)
| r(A,B,C)
| ~ s(C)
| ~ s(B)
| ~ s(A)
| n(A,B,C)
| ~ s(C)
| ~ s(B)
| ~ s(A) ),
inference(resolve,[status(thm)],[c_7,c_8]) ).
cnf(c_11,plain,
( n(A,B,C)
| ~ s(C)
| ~ s(B)
| ~ s(A)
| ~ s(C)
| ~ s(B)
| ~ s(A)
| n(A,B,C)
| ~ s(C)
| ~ s(B)
| ~ s(A)
| n(A,B,C)
| ~ s(C)
| ~ s(B)
| ~ s(A) ),
inference(resolve,[status(thm)],[c_9,c_10]) ).
cnf(c_40,plain,
( n(A,B,C)
| ~ s(C)
| ~ s(B)
| ~ s(A)
| ~ s(C)
| ~ s(B)
| ~ s(A)
| n(A,B,C)
| ~ s(C)
| ~ s(B)
| n(A,B,C)
| ~ s(C)
| ~ s(B)
| ~ s(A) ),
inference(copy,[status(thm)],[c_11]) ).
cnf(c_41,plain,
( n(A,B,C)
| ~ s(C)
| ~ s(B)
| ~ s(A)
| ~ s(C)
| ~ s(B)
| ~ s(A)
| n(A,B,C)
| ~ s(C)
| n(A,B,C)
| ~ s(C)
| ~ s(B)
| ~ s(A) ),
inference(copy,[status(thm)],[c_40]) ).
cnf(c_42,plain,
( n(A,B,C)
| ~ s(C)
| ~ s(B)
| ~ s(A)
| ~ s(C)
| ~ s(B)
| ~ s(A)
| n(A,B,C)
| n(A,B,C)
| ~ s(C)
| ~ s(B)
| ~ s(A) ),
inference(copy,[status(thm)],[c_41]) ).
cnf(c_43,plain,
( n(A,B,C)
| ~ s(C)
| ~ s(B)
| ~ s(A)
| ~ s(C)
| ~ s(B)
| ~ s(A)
| n(A,B,C)
| ~ s(C)
| ~ s(B)
| ~ s(A) ),
inference(copy,[status(thm)],[c_42]) ).
cnf(c_44,plain,
( n(A,B,C)
| ~ s(C)
| ~ s(B)
| ~ s(A)
| ~ s(C)
| ~ s(B)
| n(A,B,C)
| ~ s(C)
| ~ s(B)
| ~ s(A) ),
inference(copy,[status(thm)],[c_43]) ).
cnf(c_45,plain,
( n(A,B,C)
| ~ s(C)
| ~ s(B)
| ~ s(A)
| ~ s(C)
| n(A,B,C)
| ~ s(C)
| ~ s(B)
| ~ s(A) ),
inference(copy,[status(thm)],[c_44]) ).
cnf(c_46,plain,
( n(A,B,C)
| ~ s(C)
| ~ s(B)
| ~ s(A)
| n(A,B,C)
| ~ s(C)
| ~ s(B)
| ~ s(A) ),
inference(copy,[status(thm)],[c_45]) ).
cnf(c_47,plain,
( n(A,B,C)
| ~ s(C)
| ~ s(B)
| n(A,B,C)
| ~ s(C)
| ~ s(B)
| ~ s(A) ),
inference(copy,[status(thm)],[c_46]) ).
cnf(c_48,plain,
( n(A,B,C)
| ~ s(C)
| n(A,B,C)
| ~ s(C)
| ~ s(B)
| ~ s(A) ),
inference(copy,[status(thm)],[c_47]) ).
cnf(c_49,plain,
( n(A,B,C)
| n(A,B,C)
| ~ s(C)
| ~ s(B)
| ~ s(A) ),
inference(copy,[status(thm)],[c_48]) ).
cnf(c_12,plain,
( n(A,B,C)
| ~ s(C)
| ~ s(B)
| ~ s(A) ),
inference(copy,[status(thm)],[c_49]) ).
fof(clause_6,axiom,
s(c),
file('theBenchmark.p',clause_6) ).
cnf(c_15,plain,
s(c),
inference(clausify,[status(thm)],[clause_6]) ).
fof(clause_7,axiom,
~ n(c,c,c),
file('theBenchmark.p',clause_7) ).
cnf(c_16,plain,
~ n(c,c,c),
inference(clausify,[status(thm)],[clause_7]) ).
cnf(c_50,plain,
( n(A,c,B)
| ~ s(B)
| ~ s(A) ),
inference(resolve,[status(thm)],[c_12,c_15]) ).
cnf(c_51,plain,
( n(A,c,c)
| ~ s(A) ),
inference(resolve,[status(thm)],[c_50,c_15]) ).
cnf(c_52,plain,
~ s(c),
inference(resolve,[status(thm)],[c_51,c_16]) ).
cnf(c_39,plain,
$false,
inference(resolve,[status(thm)],[c_15,c_52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN009-4 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n019.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 26 17:04:05 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.37 % Process 1794961 was started by sandbox2 on n019,
% 0.08/0.37 % Sat Sep 26 17:04:05 2026
% 0.08/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.08/0.37
% 0.08/0.37 % From the command line: assign(max_seconds, 300).
% 0.08/0.38
% 0.08/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.38
% 0.08/0.38 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.08/0.38 % Length of proof is 15.
% 0.08/0.38 % Level of proof is 6.
% 0.08/0.38 % Maximum clause weight is 10.000.
% 0.08/0.38 % Given clauses 5.
% 0.08/0.38
% 0.08/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------