%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN124-1 : 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 : n015.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 09:37:06 AM UTC 2026
% Result : Unsatisfiable 0.16s 5.57s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% 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 : 25 ( 14 ~; 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 : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 20 ( 6 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_37,axiom,
n0(b,a),
file('theBenchmark.p',axiom_37) ).
cnf(c_2,plain,
n0(b,a),
inference(clausify,[status(thm)],[axiom_37]) ).
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_238,plain,
p1(a,a,a),
inference(resolve,[status(thm)],[c_17,c_2]) ).
cnf(c_258,plain,
l1(a,a),
inference(resolve,[status(thm)],[c_10,c_2]) ).
fof(prove_this,axiom,
~ l3(a,a),
file('theBenchmark.p',prove_this) ).
cnf(c_264,plain,
~ l3(a,a),
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_688,plain,
( ~ p2(a,A,a)
| l3(a,a) ),
inference(resolve,[status(thm)],[c_314,c_238]) ).
cnf(c_669,plain,
~ p2(a,A,a),
inference(resolve,[status(thm)],[c_264,c_688]) ).
cnf(c_689,plain,
p2(a,a,a),
inference(resolve,[status(thm)],[c_336,c_258]) ).
cnf(c_687,plain,
$false,
inference(resolve,[status(thm)],[c_669,c_689]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN124-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.38 % Computer : n015.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Sat Sep 26 17:16:49 UTC 2026
% 0.10/5.39 % CPUTime :
% 0.10/5.39 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/5.39 % Process 367580 was started by sandbox on n015,
% 0.10/5.39 % Sat Sep 26 17:16:49 2026
% 0.10/5.39 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.16/5.41
% 0.16/5.41 % From the command line: assign(max_seconds, 300).
% 0.16/5.57
% 0.16/5.57 % SZS status Unsatisfiable for theBenchmark
% 0.16/5.57
% 0.16/5.57 % Proof 1 at 0.14 (+ 0.01) seconds.
% 0.16/5.57 % Length of proof is 10.
% 0.16/5.57 % Level of proof is 3.
% 0.16/5.57 % Maximum clause weight is 16.000.
% 0.16/5.57 % Given clauses 146.
% 0.16/5.57
% 0.16/5.57 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------