%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR031+3 : 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 : 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 07:06:38 AM UTC 2026
% Result : Theorem 0.13s 0.62s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% 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 : 12 ( 8 ~; 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 : 6 ( 1 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax2_3089,axiom,
! [OBJ] :
~ ( individual(OBJ)
& collection(OBJ) ),
file('theBenchmark.p',ax2_3089) ).
fof(ax2_7583,axiom,
! [INS,ARG2] :
( disjointwith(INS,ARG2)
=> collection(INS) ),
file('theBenchmark.p',ax2_7583) ).
fof(query131,conjecture,
~ disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
file('theBenchmark.p',query131) ).
fof(query131_neg,negated_conjecture,
~ ~ disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
inference(assume_negation,[status(cth)],[query131]) ).
fof(ax2_781,axiom,
individual(c_tptptptpcol_16_8398),
file('theBenchmark.p',ax2_781) ).
cnf(c_192,plain,
individual(c_tptptptpcol_16_8398),
inference(clausify,[status(thm)],[ax2_781]) ).
cnf(c_198,plain,
( ~ individual(A)
| ~ collection(A) ),
inference(clausify,[status(thm)],[ax2_3089]) ).
cnf(c_211,plain,
( collection(A)
| ~ disjointwith(A,B) ),
inference(clausify,[status(thm)],[ax2_7583]) ).
cnf(c_236,negated_conjecture,
disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
inference(clausify,[status(thm)],[query131_neg]) ).
cnf(c_292,negated_conjecture,
collection(c_tptptptpcol_16_8398),
inference(resolve,[status(thm)],[c_211,c_236]) ).
cnf(c_301,plain,
~ individual(c_tptptptpcol_16_8398),
inference(resolve,[status(thm)],[c_198,c_292]) ).
cnf(c_300,plain,
$false,
inference(resolve,[status(thm)],[c_301,c_192]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR031+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.46 % Computer : n004.cluster.edu
% 0.11/0.46 % Model : x86_64 x86_64
% 0.11/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.46 % Memory : 8046.5625MB
% 0.11/0.46 % OS : Linux 6.8.0-71-generic
% 0.11/0.46 % CPULimit : 300
% 0.11/0.46 % WCLimit : 300
% 0.11/0.46 % DateTime : Sun Sep 27 00:01:36 UTC 2026
% 0.11/0.46 % CPUTime :
% 0.11/0.46 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.11/0.46 % Process 2919470 was started by sandbox on n004,
% 0.11/0.46 % Sun Sep 27 00:01:36 2026
% 0.11/0.46 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.13/0.62
% 0.13/0.62 % SInE (scan): 128 to sos (tol 1.5x), 17 to usable (tol 2.0x), 7860 zapped, of 8005 axioms (depth 3).
% 0.13/0.62
% 0.13/0.62 % From the command line: assign(max_seconds, 300).
% 0.13/0.62
% 0.13/0.62 % SZS status Theorem for theBenchmark
% 0.13/0.62
% 0.13/0.62 % Proof 1 at 0.02 (+ 0.01) seconds.
% 0.13/0.62 % Length of proof is 9.
% 0.13/0.62 % Level of proof is 3.
% 0.13/0.62 % Maximum clause weight is 109.000.
% 0.13/0.62 % Given clauses 60.
% 0.13/0.62
% 0.13/0.62 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------