%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : CSR031+2 : 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 : n017.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 3.43s 0.99s
% Output : CNFRefutation 3.43s
% 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 : 5 ( 4 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(ax1_167,axiom,
! [OBJ] :
~ ( setorcollection(OBJ)
& individual(OBJ) ),
file('theBenchmark.p',ax1_167) ).
fof(ax1_221,axiom,
! [ARG1,ARG2] :
( disjointwith(ARG1,ARG2)
=> no(ARG1,ARG2) ),
file('theBenchmark.p',ax1_221) ).
fof(ax1_717,axiom,
! [ARG1,INS] :
( no(ARG1,INS)
=> setorcollection(INS) ),
file('theBenchmark.p',ax1_717) ).
fof(ax1_1120,axiom,
! [X,Y] :
( disjointwith(X,Y)
=> disjointwith(Y,X) ),
file('theBenchmark.p',ax1_1120) ).
fof(query81,conjecture,
~ disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
file('theBenchmark.p',query81) ).
fof(query81_neg,negated_conjecture,
~ ~ disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
inference(assume_negation,[status(cth)],[query81]) ).
cnf(c_1353,plain,
( ~ setorcollection(A)
| ~ individual(A) ),
inference(clausify,[status(thm)],[ax1_167]) ).
cnf(c_1386,plain,
( no(A,B)
| ~ disjointwith(A,B) ),
inference(clausify,[status(thm)],[ax1_221]) ).
fof(ax1_447,axiom,
individual(c_tptptptpcol_16_8398),
file('theBenchmark.p',ax1_447) ).
cnf(c_1526,plain,
individual(c_tptptptpcol_16_8398),
inference(clausify,[status(thm)],[ax1_447]) ).
cnf(c_1692,plain,
( setorcollection(B)
| ~ no(A,B) ),
inference(clausify,[status(thm)],[ax1_717]) ).
cnf(c_1954,plain,
( disjointwith(B,A)
| ~ disjointwith(A,B) ),
inference(clausify,[status(thm)],[ax1_1120]) ).
cnf(c_1962,negated_conjecture,
disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
inference(clausify,[status(thm)],[query81_neg]) ).
cnf(c_2144,negated_conjecture,
disjointwith(c_tptpcol_16_18488,c_tptptptpcol_16_8398),
inference(resolve,[status(thm)],[c_1954,c_1962]) ).
cnf(c_2148,plain,
no(c_tptpcol_16_18488,c_tptptptpcol_16_8398),
inference(resolve,[status(thm)],[c_1386,c_2144]) ).
cnf(c_2347,plain,
setorcollection(c_tptptptpcol_16_8398),
inference(resolve,[status(thm)],[c_1692,c_2148]) ).
cnf(c_3111,plain,
~ setorcollection(c_tptptptpcol_16_8398),
inference(resolve,[status(thm)],[c_1353,c_1526]) ).
cnf(c_3110,plain,
$false,
inference(resolve,[status(thm)],[c_2347,c_3111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR031+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n017.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 23:57:04 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.13/0.36 % Process 1966506 was started by sandbox on n017,
% 0.13/0.36 % Sat Sep 26 23:57:04 2026
% 0.13/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.13/0.45
% 0.13/0.45 % From the command line: assign(max_seconds, 300).
% 0.13/0.45
% 0.13/0.45 % SInE: 732 to sos, 399 to usable, of 1131 axioms (tolerance 2.00, depth 0 fixpoint).
% 3.43/0.99
% 3.43/0.99 % given #500 (T,wt=7): 2980 collection(c_tptpcol_2_2). [ur(1394,a,1338,a)].
% 3.43/0.99
% 3.43/0.99 % SZS status Theorem for theBenchmark
% 3.43/0.99
% 3.43/0.99 % Proof 1 at 0.40 (+ 0.07) seconds.
% 3.43/0.99 % Length of proof is 15.
% 3.43/0.99 % Level of proof is 5.
% 3.43/0.99 % Maximum clause weight is 110.000.
% 3.43/0.99 % Given clauses 578.
% 3.43/0.99
% 3.43/0.99 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------