%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR055+3 : 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 : n007.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 0.10s 0.49s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 10 unt; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 18 ( 10 ~; 4 |; 1 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 14 ( 1 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax2_23,axiom,
! [ARG1,ARG2] :
( no(ARG1,ARG2)
=> few(ARG1,ARG2) ),
file('theBenchmark.p',ax2_23) ).
fof(ax2_494,axiom,
! [OBJ] :
~ ( setorcollection(OBJ)
& individual(OBJ) ),
file('theBenchmark.p',ax2_494) ).
fof(ax2_1969,axiom,
! [ARG1,ARG2] :
( disjointwith(ARG1,ARG2)
=> no(ARG1,ARG2) ),
file('theBenchmark.p',ax2_1969) ).
fof(ax2_7897,axiom,
! [INS,ARG2] :
( few(INS,ARG2)
=> setorcollection(INS) ),
file('theBenchmark.p',ax2_7897) ).
fof(query155,conjecture,
~ disjointwith(c_xskijump_thegame,c_tptpcol_16_35301),
file('theBenchmark.p',query155) ).
fof(query155_neg,negated_conjecture,
~ ~ disjointwith(c_xskijump_thegame,c_tptpcol_16_35301),
inference(assume_negation,[status(cth)],[query155]) ).
cnf(c_123,plain,
( ~ setorcollection(A)
| ~ individual(A) ),
inference(clausify,[status(thm)],[ax2_494]) ).
cnf(c_136,plain,
( no(A,B)
| ~ disjointwith(A,B) ),
inference(clausify,[status(thm)],[ax2_1969]) ).
cnf(c_188,plain,
( setorcollection(A)
| ~ few(A,B) ),
inference(clausify,[status(thm)],[ax2_7897]) ).
cnf(c_195,plain,
( few(A,B)
| ~ no(A,B) ),
inference(clausify,[status(thm)],[ax2_23]) ).
fof(ax2_185,axiom,
individual(c_xskijump_thegame),
file('theBenchmark.p',ax2_185) ).
cnf(c_196,plain,
individual(c_xskijump_thegame),
inference(clausify,[status(thm)],[ax2_185]) ).
cnf(c_245,negated_conjecture,
disjointwith(c_xskijump_thegame,c_tptpcol_16_35301),
inference(clausify,[status(thm)],[query155_neg]) ).
cnf(c_248,plain,
~ setorcollection(c_xskijump_thegame),
inference(resolve,[status(thm)],[c_196,c_123]) ).
cnf(c_254,plain,
no(c_xskijump_thegame,c_tptpcol_16_35301),
inference(resolve,[status(thm)],[c_245,c_136]) ).
cnf(c_274,plain,
few(c_xskijump_thegame,c_tptpcol_16_35301),
inference(resolve,[status(thm)],[c_254,c_195]) ).
cnf(c_316,plain,
setorcollection(c_xskijump_thegame),
inference(resolve,[status(thm)],[c_274,c_188]) ).
cnf(c_315,plain,
$false,
inference(resolve,[status(thm)],[c_248,c_316]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR055+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n007.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 00:20:39 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.37 % Process 818711 was started by sandbox2 on n007,
% 0.10/0.37 % Sun Sep 27 00:20:39 2026
% 0.10/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.10/0.49
% 0.10/0.49 % SInE (scan): 128 to sos (tol 1.5x), 19 to usable (tol 2.0x), 7858 zapped, of 8005 axioms (depth 3).
% 0.10/0.49
% 0.10/0.49 % From the command line: assign(max_seconds, 300).
% 0.10/0.49
% 0.10/0.49 % Assigning unary symbol f_groupfn kb_weight 0 and highest precedence (54).
% 0.10/0.49
% 0.10/0.49 % SZS status Theorem for theBenchmark
% 0.10/0.49
% 0.10/0.49 % Proof 1 at 0.02 (+ 0.02) seconds.
% 0.10/0.49 % Length of proof is 15.
% 0.10/0.49 % Level of proof is 4.
% 0.10/0.49 % Maximum clause weight is 111.000.
% 0.10/0.49 % Given clauses 62.
% 0.10/0.49
% 0.10/0.49 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------