%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN285-1 : 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 : n018.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 09:37:28 AM UTC 2026
% Result : Unsatisfiable 0.80s 0.51s
% Output : CNFRefutation 0.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of formulae : 26 ( 16 unt; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 45 ( 25 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 25 ( 5 sgn 10 !; 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_34,axiom,
n0(c,d),
file('theBenchmark.p',axiom_34) ).
cnf(c_3,plain,
n0(c,d),
inference(clausify,[status(thm)],[axiom_34]) ).
cnf(c_262,plain,
k1(d),
inference(resolve,[status(thm)],[c_1,c_3]) ).
fof(prove_this,axiom,
~ q1(a,d,d),
file('theBenchmark.p',prove_this) ).
cnf(c_264,plain,
~ q1(a,d,d),
inference(clausify,[status(thm)],[prove_this]) ).
fof(rule_109,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ k1(VAR_0)
| ~ q0(VAR_1,VAR_0)
| ~ p0(VAR_2,VAR_2)
| q1(VAR_0,VAR_0,VAR_1) ),
file('theBenchmark.p',rule_109) ).
cnf(c_382,plain,
( ~ k1(A)
| ~ q0(B,A)
| ~ p0(C,C)
| q1(A,A,B) ),
inference(clausify,[status(thm)],[rule_109]) ).
fof(rule_099,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ q1(VAR_1,VAR_1,VAR_2)
| ~ l0(VAR_0)
| ~ k0(VAR_2)
| q1(VAR_0,VAR_1,VAR_1) ),
file('theBenchmark.p',rule_099) ).
cnf(c_391,plain,
( ~ q1(B,B,C)
| ~ l0(A)
| ~ k0(C)
| q1(A,B,B) ),
inference(clausify,[status(thm)],[rule_099]) ).
fof(axiom_32,axiom,
k0(b),
file('theBenchmark.p',axiom_32) ).
cnf(c_466,plain,
k0(b),
inference(clausify,[status(thm)],[axiom_32]) ).
fof(axiom_20,axiom,
l0(a),
file('theBenchmark.p',axiom_20) ).
cnf(c_476,plain,
l0(a),
inference(clausify,[status(thm)],[axiom_20]) ).
fof(axiom_17,axiom,
! [VAR_0] : q0(VAR_0,d),
file('theBenchmark.p',axiom_17) ).
cnf(c_479,plain,
q0(A,d),
inference(clausify,[status(thm)],[axiom_17]) ).
fof(axiom_14,axiom,
! [VAR_0] : p0(b,VAR_0),
file('theBenchmark.p',axiom_14) ).
cnf(c_481,plain,
p0(b,A),
inference(clausify,[status(thm)],[axiom_14]) ).
cnf(c_621,plain,
( ~ q1(d,d,A)
| ~ l0(a)
| ~ k0(A) ),
inference(resolve,[status(thm)],[c_391,c_264]) ).
cnf(c_622,plain,
( ~ q1(d,d,b)
| ~ l0(a) ),
inference(resolve,[status(thm)],[c_621,c_466]) ).
cnf(c_594,plain,
~ q1(d,d,b),
inference(resolve,[status(thm)],[c_622,c_476]) ).
cnf(c_623,plain,
( ~ k1(A)
| ~ q0(B,A)
| q1(A,A,B) ),
inference(resolve,[status(thm)],[c_382,c_481]) ).
cnf(c_624,plain,
( ~ k1(d)
| q1(d,d,A) ),
inference(resolve,[status(thm)],[c_623,c_479]) ).
cnf(c_619,plain,
q1(d,d,A),
inference(resolve,[status(thm)],[c_624,c_262]) ).
cnf(c_620,plain,
$false,
inference(resolve,[status(thm)],[c_619,c_594]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN285-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n018.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 26 17:32:08 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.37 % Process 992172 was started by sandbox on n018,
% 0.10/0.37 % Sat Sep 26 17:32:08 2026
% 0.10/0.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.10/0.38
% 0.10/0.38 % From the command line: assign(max_seconds, 300).
% 0.80/0.51
% 0.80/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.80/0.51
% 0.80/0.51 % Proof 1 at 0.10 (+ 0.01) seconds.
% 0.80/0.51 % Length of proof is 13.
% 0.80/0.51 % Level of proof is 3.
% 0.80/0.51 % Maximum clause weight is 14.000.
% 0.80/0.51 % Given clauses 335.
% 0.80/0.51
% 0.80/0.51 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------