%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN228-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 09:37:21 AM UTC 2026
% Result : Unsatisfiable 0.14s 11.14s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 23 ( 13 unt; 0 def)
% Number of atoms : 37 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 33 ( 19 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 14 ( 2 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(rule_001,axiom,
! [VAR_0,VAR_1] :
( ~ n0(VAR_1,VAR_0)
| k1(VAR_0) ),
file('theBenchmark.p',rule_001) ).
cnf(c_1,plain,
( ~ n0(B,A)
| k1(A) ),
inference(clausify,[status(thm)],[rule_001]) ).
fof(axiom_15,axiom,
n0(a,b),
file('theBenchmark.p',axiom_15) ).
cnf(c_6,plain,
n0(a,b),
inference(clausify,[status(thm)],[axiom_15]) ).
cnf(c_259,plain,
k1(b),
inference(resolve,[status(thm)],[c_1,c_6]) ).
fof(prove_this,axiom,
~ l3(b,e),
file('theBenchmark.p',prove_this) ).
cnf(c_264,plain,
~ l3(b,e),
inference(clausify,[status(thm)],[prove_this]) ).
fof(rule_215,axiom,
! [VAR_0,VAR_1] :
( ~ p2(VAR_0,VAR_1,VAR_0)
| ~ r0(VAR_0)
| l3(VAR_0,VAR_1) ),
file('theBenchmark.p',rule_215) ).
cnf(c_314,plain,
( ~ p2(A,B,A)
| ~ r0(A)
| l3(A,B) ),
inference(clausify,[status(thm)],[rule_215]) ).
fof(rule_170,axiom,
! [VAR_0] :
( ~ n1(VAR_0,e,e)
| p2(VAR_0,e,VAR_0) ),
file('theBenchmark.p',rule_170) ).
cnf(c_338,plain,
( ~ n1(A,e,e)
| p2(A,e,A) ),
inference(clausify,[status(thm)],[rule_170]) ).
fof(rule_040,axiom,
! [VAR_0,VAR_1] :
( ~ k1(VAR_0)
| ~ m0(VAR_0,VAR_1,e)
| n1(VAR_0,e,e) ),
file('theBenchmark.p',rule_040) ).
cnf(c_433,plain,
( ~ k1(A)
| ~ m0(A,B,e)
| n1(A,e,e) ),
inference(clausify,[status(thm)],[rule_040]) ).
fof(axiom_31,axiom,
m0(b,b,e),
file('theBenchmark.p',axiom_31) ).
cnf(c_467,plain,
m0(b,b,e),
inference(clausify,[status(thm)],[axiom_31]) ).
fof(axiom_9,axiom,
r0(b),
file('theBenchmark.p',axiom_9) ).
cnf(c_484,plain,
r0(b),
inference(clausify,[status(thm)],[axiom_9]) ).
cnf(c_642,plain,
( ~ k1(b)
| n1(b,e,e) ),
inference(resolve,[status(thm)],[c_433,c_467]) ).
cnf(c_569,plain,
n1(b,e,e),
inference(resolve,[status(thm)],[c_642,c_259]) ).
cnf(c_643,plain,
( ~ p2(b,e,b)
| ~ r0(b) ),
inference(resolve,[status(thm)],[c_314,c_264]) ).
cnf(c_631,plain,
~ p2(b,e,b),
inference(resolve,[status(thm)],[c_643,c_484]) ).
cnf(c_640,plain,
~ n1(b,e,e),
inference(resolve,[status(thm)],[c_631,c_338]) ).
cnf(c_641,plain,
$false,
inference(resolve,[status(thm)],[c_640,c_569]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN228-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/11.00 % Computer : n008.cluster.edu
% 0.10/11.00 % Model : x86_64 x86_64
% 0.10/11.00 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/11.00 % Memory : 8046.5625MB
% 0.10/11.00 % OS : Linux 6.8.0-71-generic
% 0.10/11.00 % CPULimit : 300
% 0.10/11.00 % WCLimit : 300
% 0.10/11.00 % DateTime : Sat Sep 26 17:25:05 UTC 2026
% 0.10/11.00 % CPUTime :
% 0.10/11.00 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/11.00 % Process 4145063 was started by sandbox on n008,
% 0.10/11.00 % Sat Sep 26 17:25:05 2026
% 0.10/11.00 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.10/11.02
% 0.10/11.02 % From the command line: assign(max_seconds, 300).
% 0.14/11.14
% 0.14/11.14 % SZS status Unsatisfiable for theBenchmark
% 0.14/11.14
% 0.14/11.14 % Proof 1 at 0.11 (+ 0.01) seconds.
% 0.14/11.14 % Length of proof is 13.
% 0.14/11.14 % Level of proof is 3.
% 0.14/11.14 % Maximum clause weight is 10.000.
% 0.14/11.14 % Given clauses 371.
% 0.14/11.14
% 0.14/11.14 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------