%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : NUM838+1 : 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 : n003.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 08:18:09 AM UTC 2026
% Result : Theorem 0.16s 0.48s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 9 ( 7 unt; 0 def)
% Number of atoms : 11 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 1 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof('ass(cond(proof(196), 0), 4)',axiom,
! [Vd310,Vd311,Vd312] :
( greater(Vd311,Vd312)
=> greater(vplus(Vd311,Vd310),vplus(Vd312,Vd310)) ),
file('theBenchmark.p','ass(cond(proof(196), 0), 4)') ).
fof('holds(conseq(195), 305, 0)',conjecture,
greater(vplus(vd301,vd303),vplus(vd302,vd303)),
file('theBenchmark.p','holds(conseq(195), 305, 0)') ).
fof('holds(conseq(195), 305, 0)_neg',negated_conjecture,
~ greater(vplus(vd301,vd303),vplus(vd302,vd303)),
inference(assume_negation,[status(cth)],['holds(conseq(195), 305, 0)']) ).
cnf(c_52,negated_conjecture,
~ greater(vplus(vd301,vd303),vplus(vd302,vd303)),
inference(clausify,[status(thm)],['holds(conseq(195), 305, 0)_neg']) ).
cnf(c_91,plain,
( greater(vplus(A,C),vplus(B,C))
| ~ greater(A,B) ),
inference(clausify,[status(thm)],['ass(cond(proof(196), 0), 4)']) ).
fof('holds(antec(195), 304, 0)',axiom,
greater(vd301,vd302),
file('theBenchmark.p','holds(antec(195), 304, 0)') ).
cnf(c_95,plain,
greater(vd301,vd302),
inference(clausify,[status(thm)],['holds(antec(195), 304, 0)']) ).
cnf(c_302,negated_conjecture,
~ greater(vd301,vd302),
inference(resolve,[status(thm)],[c_91,c_52]) ).
cnf(c_301,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_95,c_302]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM838+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n003.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Sat Sep 26 04:13:23 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.16/0.43 % Process 1998812 was started by sandbox2 on n003,
% 0.16/0.43 % Sat Sep 26 04:13:23 2026
% 0.16/0.43 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.16/0.45
% 0.16/0.45 % From the command line: assign(max_seconds, 300).
% 0.16/0.48
% 0.16/0.48 % SZS status Theorem for theBenchmark
% 0.16/0.48
% 0.16/0.48 % Proof 1 at 0.01 (+ 0.01) seconds.
% 0.16/0.48 % Length of proof is 6.
% 0.16/0.48 % Level of proof is 2.
% 0.16/0.48 % Maximum clause weight is 20.000.
% 0.16/0.48 % Given clauses 41.
% 0.16/0.48
% 0.16/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------