%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR055+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 07:06:56 AM UTC 2026
% Result : Theorem 0.08s 0.39s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 8 unt; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 9 ~; 2 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 7 ( 2 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(just5,axiom,
! [OBJ] :
~ ( individual(OBJ)
& collection(OBJ) ),
file('theBenchmark.p',just5) ).
fof(just32,axiom,
! [INS,ARG2] :
( disjointwith(INS,ARG2)
=> collection(INS) ),
file('theBenchmark.p',just32) ).
fof(query55,conjecture,
~ disjointwith(c_xskijump_thegame,c_tptpcol_16_35301),
file('theBenchmark.p',query55) ).
fof(query55_neg,negated_conjecture,
~ ~ disjointwith(c_xskijump_thegame,c_tptpcol_16_35301),
inference(assume_negation,[status(cth)],[query55]) ).
cnf(c_47,plain,
( ~ individual(A)
| ~ collection(A) ),
inference(clausify,[status(thm)],[just5]) ).
fof(just1,axiom,
individual(c_xskijump_thegame),
file('theBenchmark.p',just1) ).
cnf(c_48,plain,
individual(c_xskijump_thegame),
inference(clausify,[status(thm)],[just1]) ).
cnf(c_59,plain,
( collection(A)
| ~ disjointwith(A,B) ),
inference(clausify,[status(thm)],[just32]) ).
cnf(c_62,plain,
~ collection(c_xskijump_thegame),
inference(resolve,[status(thm)],[c_47,c_48]) ).
cnf(c_98,negated_conjecture,
disjointwith(c_xskijump_thegame,c_tptpcol_16_35301),
inference(clausify,[status(thm)],[query55_neg]) ).
cnf(c_104,plain,
~ disjointwith(c_xskijump_thegame,A),
inference(resolve,[status(thm)],[c_62,c_59]) ).
cnf(c_105,plain,
$false,
inference(resolve,[status(thm)],[c_104,c_98]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR055+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n004.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 27 00:22:51 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.35 % Process 2952934 was started by sandbox2 on n004,
% 0.08/0.35 % Sun Sep 27 00:22:51 2026
% 0.08/0.35 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.08/0.37
% 0.08/0.37 % From the command line: assign(max_seconds, 300).
% 0.08/0.39
% 0.08/0.39 % SZS status Theorem for theBenchmark
% 0.08/0.39
% 0.08/0.39 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.08/0.39 % Length of proof is 10.
% 0.08/0.39 % Level of proof is 4.
% 0.08/0.39 % Maximum clause weight is 3.000.
% 0.08/0.39 % Given clauses 0.
% 0.08/0.39
% 0.08/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------