%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN223-1 : 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 09:37:20 AM UTC 2026
% Result : Unsatisfiable 0.15s 10.72s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 9 unt; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 15 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 23 ( 7 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_30,axiom,
n0(e,e),
file('theBenchmark.p',axiom_30) ).
cnf(c_4,plain,
n0(e,e),
inference(clausify,[status(thm)],[axiom_30]) ).
fof(rule_002,axiom,
! [VAR_0,VAR_1] :
( ~ n0(VAR_1,VAR_0)
| l1(VAR_0,VAR_0) ),
file('theBenchmark.p',rule_002) ).
cnf(c_10,plain,
( ~ n0(B,A)
| l1(A,A) ),
inference(clausify,[status(thm)],[rule_002]) ).
fof(rule_066,axiom,
! [VAR_0,VAR_1] :
( ~ n0(VAR_1,VAR_0)
| p1(VAR_0,VAR_0,VAR_0) ),
file('theBenchmark.p',rule_066) ).
cnf(c_17,plain,
( ~ n0(B,A)
| p1(A,A,A) ),
inference(clausify,[status(thm)],[rule_066]) ).
cnf(c_236,plain,
p1(e,e,e),
inference(resolve,[status(thm)],[c_17,c_4]) ).
cnf(c_256,plain,
l1(e,e),
inference(resolve,[status(thm)],[c_10,c_4]) ).
fof(prove_this,axiom,
! [VAR_0] : ~ l3(VAR_0,e),
file('theBenchmark.p',prove_this) ).
cnf(c_264,plain,
~ l3(A,e),
inference(clausify,[status(thm)],[prove_this]) ).
fof(rule_216,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p2(VAR_1,VAR_2,VAR_0)
| ~ p1(VAR_0,VAR_0,VAR_1)
| l3(VAR_0,VAR_0) ),
file('theBenchmark.p',rule_216) ).
cnf(c_314,plain,
( ~ p2(B,C,A)
| ~ p1(A,A,B)
| l3(A,A) ),
inference(clausify,[status(thm)],[rule_216]) ).
fof(rule_175,axiom,
! [VAR_0,VAR_1] :
( ~ l1(VAR_1,VAR_0)
| p2(VAR_0,VAR_0,VAR_0) ),
file('theBenchmark.p',rule_175) ).
cnf(c_336,plain,
( ~ l1(B,A)
| p2(A,A,A) ),
inference(clausify,[status(thm)],[rule_175]) ).
cnf(c_676,plain,
( ~ p2(A,B,e)
| ~ p1(e,e,A) ),
inference(resolve,[status(thm)],[c_314,c_264]) ).
cnf(c_665,plain,
~ p2(e,A,e),
inference(resolve,[status(thm)],[c_676,c_236]) ).
cnf(c_677,plain,
p2(e,e,e),
inference(resolve,[status(thm)],[c_336,c_256]) ).
cnf(c_675,plain,
$false,
inference(resolve,[status(thm)],[c_665,c_677]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN223-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/10.59 % Computer : n008.cluster.edu
% 0.11/10.59 % Model : x86_64 x86_64
% 0.11/10.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.59 % Memory : 8046.5625MB
% 0.11/10.59 % OS : Linux 6.8.0-71-generic
% 0.11/10.59 % CPULimit : 300
% 0.11/10.59 % WCLimit : 300
% 0.11/10.59 % DateTime : Sat Sep 26 17:24:06 UTC 2026
% 0.11/10.60 % CPUTime :
% 0.15/10.60 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.15/10.60 % Process 4143646 was started by sandbox on n008,
% 0.15/10.60 % Sat Sep 26 17:24:06 2026
% 0.15/10.60 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.15/10.61
% 0.15/10.61 % From the command line: assign(max_seconds, 300).
% 0.15/10.72
% 0.15/10.72 % SZS status Unsatisfiable for theBenchmark
% 0.15/10.72
% 0.15/10.72 % Proof 1 at 0.10 (+ 0.01) seconds.
% 0.15/10.72 % Length of proof is 10.
% 0.15/10.72 % Level of proof is 3.
% 0.15/10.72 % Maximum clause weight is 16.000.
% 0.15/10.72 % Given clauses 146.
% 0.15/10.72
% 0.15/10.72 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------