%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR031+1 : 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 : 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 07:06:38 AM UTC 2026
% Result : Theorem 0.14s 0.40s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 7 unt; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 15 ( 10 ~; 3 |; 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 : 9 ( 3 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(just4,axiom,
! [OBJ] :
~ ( individual(OBJ)
& collection(OBJ) ),
file('theBenchmark.p',just4) ).
fof(just34,axiom,
! [INS,ARG2] :
( disjointwith(INS,ARG2)
=> collection(INS) ),
file('theBenchmark.p',just34) ).
fof(query31,conjecture,
~ disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
file('theBenchmark.p',query31) ).
fof(query31_neg,negated_conjecture,
~ ~ disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
inference(assume_negation,[status(cth)],[query31]) ).
cnf(c_52,plain,
( collection(A)
| ~ disjointwith(A,B) ),
inference(clausify,[status(thm)],[just34]) ).
cnf(c_58,plain,
( ~ individual(A)
| ~ collection(A) ),
inference(clausify,[status(thm)],[just4]) ).
fof(just6,axiom,
individual(c_tptptptpcol_16_8398),
file('theBenchmark.p',just6) ).
cnf(c_59,plain,
individual(c_tptptptpcol_16_8398),
inference(clausify,[status(thm)],[just6]) ).
cnf(c_63,plain,
( ~ disjointwith(A,B)
| ~ individual(A) ),
inference(resolve,[status(thm)],[c_58,c_52]) ).
cnf(c_105,negated_conjecture,
disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
inference(clausify,[status(thm)],[query31_neg]) ).
cnf(c_109,plain,
~ disjointwith(c_tptptptpcol_16_8398,A),
inference(resolve,[status(thm)],[c_59,c_63]) ).
cnf(c_110,plain,
$false,
inference(resolve,[status(thm)],[c_109,c_105]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR031+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n020.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 00:02:27 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.14/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.14/0.38 % Process 2835088 was started by sandbox on n020,
% 0.14/0.38 % Sun Sep 27 00:02:27 2026
% 0.14/0.38 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.14/0.39
% 0.14/0.39 % From the command line: assign(max_seconds, 300).
% 0.14/0.40
% 0.14/0.40 % SZS status Theorem for theBenchmark
% 0.14/0.40
% 0.14/0.40 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.14/0.40 % Length of proof is 10.
% 0.14/0.40 % Level of proof is 4.
% 0.14/0.40 % Maximum clause weight is 3.000.
% 0.14/0.40 % Given clauses 0.
% 0.14/0.40
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------