%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR031+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 07:06:38 AM UTC 2026
% Result : Theorem 0.13s 10.80s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% 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 : 19 ( 11 ~; 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 : 15 ( 2 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax3_10372,axiom,
! [ARG1,ARG2] :
( no(ARG1,ARG2)
=> few(ARG1,ARG2) ),
file('theBenchmark.p',ax3_10372) ).
fof(ax3_17363,axiom,
! [ARG1,ARG2] :
( disjointwith(ARG1,ARG2)
=> no(ARG1,ARG2) ),
file('theBenchmark.p',ax3_17363) ).
fof(ax3_20264,axiom,
! [OBJ] :
~ ( setorcollection(OBJ)
& individual(OBJ) ),
file('theBenchmark.p',ax3_20264) ).
fof(ax3_41963,axiom,
! [INS,ARG2] :
( few(INS,ARG2)
=> setorcollection(INS) ),
file('theBenchmark.p',ax3_41963) ).
fof(query181,conjecture,
~ disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
file('theBenchmark.p',query181) ).
fof(query181_neg,negated_conjecture,
~ ~ disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
inference(assume_negation,[status(cth)],[query181]) ).
cnf(c_133,plain,
( no(A,B)
| ~ disjointwith(A,B) ),
inference(clausify,[status(thm)],[ax3_17363]) ).
cnf(c_138,plain,
( ~ setorcollection(A)
| ~ individual(A) ),
inference(clausify,[status(thm)],[ax3_20264]) ).
cnf(c_159,plain,
( setorcollection(A)
| ~ few(A,B) ),
inference(clausify,[status(thm)],[ax3_41963]) ).
cnf(c_197,plain,
( few(A,B)
| ~ no(A,B) ),
inference(clausify,[status(thm)],[ax3_10372]) ).
fof(ax3_20191,axiom,
individual(c_tptptptpcol_16_8398),
file('theBenchmark.p',ax3_20191) ).
cnf(c_203,plain,
individual(c_tptptptpcol_16_8398),
inference(clausify,[status(thm)],[ax3_20191]) ).
cnf(c_238,negated_conjecture,
disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
inference(clausify,[status(thm)],[query181_neg]) ).
cnf(c_241,plain,
~ setorcollection(c_tptptptpcol_16_8398),
inference(resolve,[status(thm)],[c_138,c_203]) ).
cnf(c_248,plain,
~ few(c_tptptptpcol_16_8398,A),
inference(resolve,[status(thm)],[c_159,c_241]) ).
cnf(c_254,negated_conjecture,
no(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
inference(resolve,[status(thm)],[c_133,c_238]) ).
cnf(c_306,plain,
few(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
inference(resolve,[status(thm)],[c_197,c_254]) ).
cnf(c_305,plain,
$false,
inference(resolve,[status(thm)],[c_248,c_306]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR031+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/10.36 % Computer : n008.cluster.edu
% 0.08/10.36 % Model : x86_64 x86_64
% 0.08/10.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/10.36 % Memory : 8046.5625MB
% 0.08/10.36 % OS : Linux 6.8.0-71-generic
% 0.08/10.36 % CPULimit : 300
% 0.08/10.36 % WCLimit : 300
% 0.08/10.36 % DateTime : Sun Sep 27 00:02:52 UTC 2026
% 0.08/10.37 % CPUTime :
% 0.08/10.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/10.37 % Process 653235 was started by sandbox on n008,
% 0.08/10.37 % Sun Sep 27 00:02:52 2026
% 0.08/10.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.13/10.80
% 0.13/10.80 % SInE (scan): 139 to sos (tol 1.5x), 11 to usable (tol 2.0x), 44066 zapped, of 44216 axioms (depth 3).
% 0.13/10.80
% 0.13/10.80 % From the command line: assign(max_seconds, 300).
% 0.13/10.80
% 0.13/10.80 % SZS status Theorem for theBenchmark
% 0.13/10.80
% 0.13/10.80 % Proof 1 at 0.04 (+ 0.05) seconds.
% 0.13/10.80 % Length of proof is 15.
% 0.13/10.80 % Level of proof is 4.
% 0.13/10.80 % Maximum clause weight is 106.000.
% 0.13/10.80 % Given clauses 69.
% 0.13/10.80
% 0.13/10.80 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------