%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : NUM843+2 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 08:18:11 AM UTC 2026
% Result : Theorem 0.13s 0.41s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 9 unt; 0 def)
% Number of atoms : 24 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 8 ~; 8 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 10 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof('def(cond(conseq(axiom(3)), 17), 1)',axiom,
! [Vd249,Vd250] :
( leq(Vd250,Vd249)
<=> ( Vd250 = Vd249
| less(Vd250,Vd249) ) ),
file('theBenchmark.p','def(cond(conseq(axiom(3)), 17), 1)') ).
fof('ass(cond(goal(130), 0), 0)',axiom,
! [Vd203,Vd204] :
( less(Vd203,Vd204)
| greater(Vd203,Vd204)
| Vd203 = Vd204 ),
file('theBenchmark.p','ass(cond(goal(130), 0), 0)') ).
fof('holds(244, 394, 0)',conjecture,
greater(vd390,vd391),
file('theBenchmark.p','holds(244, 394, 0)') ).
fof('holds(244, 394, 0)_neg',negated_conjecture,
~ greater(vd390,vd391),
inference(assume_negation,[status(cth)],['holds(244, 394, 0)']) ).
fof('holds(conjunct2(243), 393, 0)',axiom,
~ leq(vd390,vd391),
file('theBenchmark.p','holds(conjunct2(243), 393, 0)') ).
cnf(c_45,plain,
~ leq(vd390,vd391),
inference(clausify,[status(thm)],['holds(conjunct2(243), 393, 0)']) ).
cnf(c_67,plain,
( ~ less(A,B)
| leq(A,B) ),
inference(clausify,[status(thm)],['def(cond(conseq(axiom(3)), 17), 1)']) ).
cnf(c_68,plain,
( B != A
| leq(A,B) ),
inference(clausify,[status(thm)],['def(cond(conseq(axiom(3)), 17), 1)']) ).
cnf(c_74,plain,
( less(B,A)
| greater(B,A)
| A = B ),
inference(clausify,[status(thm)],['ass(cond(goal(130), 0), 0)']) ).
cnf(c_102,negated_conjecture,
~ greater(vd390,vd391),
inference(clausify,[status(thm)],['holds(244, 394, 0)_neg']) ).
cnf(c_117,plain,
~ less(vd390,vd391),
inference(resolve,[status(thm)],[c_67,c_45]) ).
cnf(c_119,plain,
vd391 != vd390,
inference(resolve,[status(thm)],[c_68,c_45]) ).
cnf(c_242,plain,
( greater(vd390,vd391)
| vd391 = vd390 ),
inference(resolve,[status(thm)],[c_117,c_74]) ).
cnf(c_243,plain,
greater(vd390,vd391),
inference(resolve,[status(thm)],[c_119,c_242]) ).
cnf(c_241,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_102,c_243]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM843+2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n020.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sat Sep 26 04:13:04 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.36 % Process 574428 was started by sandbox2 on n020,
% 0.10/0.36 % Sat Sep 26 04:13:04 2026
% 0.10/0.36 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.10/0.37
% 0.10/0.37 % From the command line: assign(max_seconds, 300).
% 0.13/0.41
% 0.13/0.41 % SZS status Theorem for theBenchmark
% 0.13/0.41
% 0.13/0.41 % Proof 1 at 0.02 (+ 0.01) seconds.
% 0.13/0.41 % Length of proof is 11.
% 0.13/0.41 % Level of proof is 3.
% 0.13/0.41 % Maximum clause weight is 9.000.
% 0.13/0.41 % Given clauses 54.
% 0.13/0.41
% 0.13/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------