%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR031+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 : Thu Sep 24 12:12:56 PM UTC 2026
% Result : Theorem 0.15s 0.51s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 8 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 19 ( 12 ~; 5 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 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 : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f289,axiom,
! [OBJ] :
~ ( individual(OBJ)
& collection(OBJ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f447,axiom,
individual(c_tptptptpcol_16_8398),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1119,axiom,
! [INS,ARG2] :
( disjointwith(INS,ARG2)
=> collection(INS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1132,conjecture,
~ disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1133,negated_conjecture,
~ ~ disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
inference(negated_conjecture,[status(cth)],[f1132]) ).
fof(f1554,plain,
! [OBJ] :
( ~ individual(OBJ)
| ~ collection(OBJ) ),
inference(pre_NNF_transformation,[status(thm)],[f289]) ).
fof(f1555,plain,
! [X0] :
( ~ individual(X0)
| ~ collection(X0) ),
inference(cnf_transformation,[status(thm)],[f1554]) ).
fof(f1786,plain,
individual(c_tptptptpcol_16_8398),
inference(cnf_transformation,[status(thm)],[f447]) ).
fof(f3170,plain,
! [INS,ARG2] :
( collection(INS)
| ~ disjointwith(INS,ARG2) ),
inference(pre_NNF_transformation,[status(thm)],[f1119]) ).
fof(f3171,plain,
! [INS] :
( collection(INS)
| ! [ARG2] : ~ disjointwith(INS,ARG2) ),
inference(miniscoping,[status(thm)],[f3170]) ).
fof(f3172,plain,
! [X0,X1] :
( collection(X0)
| ~ disjointwith(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f3171]) ).
fof(f3204,plain,
disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
inference(cnf_transformation,[status(thm)],[f1133]) ).
fof(f3207,plain,
collection(c_tptptptpcol_16_8398),
inference(resolution,[status(thm)],[f3172,f3204]) ).
fof(f3584,plain,
~ collection(c_tptptptpcol_16_8398),
inference(resolution,[status(thm)],[f1555,f1786]) ).
fof(f3585,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f3584,f3207]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : CSR031+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.40 % Computer : n011.cluster.edu
% 0.15/0.40 % Model : x86_64 x86_64
% 0.15/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.40 % Memory : 8046.5625MB
% 0.15/0.40 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Mon Sep 21 14:27:11 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.46 % Drodi V4.1.1
% 0.15/0.51 % Refutation found
% 0.15/0.51 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.51 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.24/0.60 % Elapsed time: 0.181236 seconds
% 0.24/0.60 % CPU time: 0.269562 seconds
% 0.24/0.60 % Total memory used: 33.823 MB
% 0.24/0.60 % Net memory used: 33.779 MB
%------------------------------------------------------------------------------