%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN263-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 09:37:25 AM UTC 2026
% Result : Unsatisfiable 1.26s 0.56s
% Output : CNFRefutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 12 unt; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 14 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 25 ( 7 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this,axiom,
~ p1(d,d,a),
file('theBenchmark.p',prove_this) ).
cnf(c_264,plain,
~ p1(d,d,a),
inference(clausify,[status(thm)],[prove_this]) ).
fof(rule_085,axiom,
! [VAR_0,VAR_1] :
( ~ p0(VAR_1,VAR_0)
| p1(VAR_0,VAR_0,VAR_0) ),
file('theBenchmark.p',rule_085) ).
cnf(c_406,plain,
( ~ p0(B,A)
| p1(A,A,A) ),
inference(clausify,[status(thm)],[rule_085]) ).
fof(rule_082,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p1(VAR_2,VAR_0,VAR_3)
| ~ m0(VAR_2,VAR_0,VAR_3)
| p1(VAR_0,VAR_1,VAR_2) ),
file('theBenchmark.p',rule_082) ).
cnf(c_409,plain,
( ~ p1(C,A,D)
| ~ m0(C,A,D)
| p1(A,B,C) ),
inference(clausify,[status(thm)],[rule_082]) ).
fof(axiom_19,axiom,
! [VAR_0,VAR_1] : m0(VAR_0,d,VAR_1),
file('theBenchmark.p',axiom_19) ).
cnf(c_485,plain,
m0(A,d,B),
inference(clausify,[status(thm)],[axiom_19]) ).
fof(axiom_14,axiom,
! [VAR_0] : p0(b,VAR_0),
file('theBenchmark.p',axiom_14) ).
cnf(c_489,plain,
p0(b,A),
inference(clausify,[status(thm)],[axiom_14]) ).
fof(axiom_12,axiom,
! [VAR_0] : m0(a,VAR_0,a),
file('theBenchmark.p',axiom_12) ).
cnf(c_491,plain,
m0(a,A,a),
inference(clausify,[status(thm)],[axiom_12]) ).
cnf(c_809,plain,
( ~ p1(a,d,A)
| ~ m0(a,d,A) ),
inference(resolve,[status(thm)],[c_409,c_264]) ).
cnf(c_685,plain,
~ p1(a,d,A),
inference(resolve,[status(thm)],[c_485,c_809]) ).
cnf(c_745,plain,
p1(A,A,A),
inference(resolve,[status(thm)],[c_406,c_489]) ).
cnf(c_810,plain,
( ~ p1(A,a,B)
| ~ m0(A,a,B) ),
inference(resolve,[status(thm)],[c_409,c_685]) ).
cnf(c_811,plain,
~ p1(a,a,a),
inference(resolve,[status(thm)],[c_810,c_491]) ).
cnf(c_808,plain,
$false,
inference(resolve,[status(thm)],[c_745,c_811]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN263-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n010.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 26 17:27:30 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.38 % Process 3802493 was started by sandbox2 on n010,
% 0.09/0.38 % Sat Sep 26 17:27:30 2026
% 0.09/0.38 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.09/0.39
% 0.09/0.39 % From the command line: assign(max_seconds, 300).
% 1.26/0.56
% 1.26/0.56 % SZS status Unsatisfiable for theBenchmark
% 1.26/0.56
% 1.26/0.56 % Proof 1 at 0.15 (+ 0.01) seconds.
% 1.26/0.56 % Length of proof is 9.
% 1.26/0.56 % Level of proof is 2.
% 1.26/0.56 % Maximum clause weight is 17.000.
% 1.26/0.56 % Given clauses 320.
% 1.26/0.56
% 1.26/0.56 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------