%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR031+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.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 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 8 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 26 ( 15 ~; 8 |; 1 &)
% ( 0 <=>; 2 =>; 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 : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [OBJ] :
~ ( individual(OBJ)
& collection(OBJ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
individual(c_tptptptpcol_16_8398),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [ARG1,ARG2] :
( disjointwith(ARG1,ARG2)
=> collection(ARG2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,axiom,
! [X,Y] :
( disjointwith(X,Y)
=> disjointwith(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f56,conjecture,
~ disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f57,negated_conjecture,
~ ~ disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
inference(negated_conjecture,[status(cth)],[f56]) ).
fof(f61,plain,
! [OBJ] :
( ~ individual(OBJ)
| ~ collection(OBJ) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f62,plain,
! [X0] :
( ~ individual(X0)
| ~ collection(X0) ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f64,plain,
individual(c_tptptptpcol_16_8398),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f72,plain,
! [ARG1,ARG2] :
( collection(ARG2)
| ~ disjointwith(ARG1,ARG2) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f73,plain,
! [ARG2] :
( collection(ARG2)
| ! [ARG1] : ~ disjointwith(ARG1,ARG2) ),
inference(miniscoping,[status(thm)],[f72]) ).
fof(f74,plain,
! [X0,X1] :
( collection(X1)
| ~ disjointwith(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f73]) ).
fof(f139,plain,
! [X,Y] :
( disjointwith(Y,X)
| ~ disjointwith(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f35]) ).
fof(f140,plain,
! [X0,X1] :
( disjointwith(X1,X0)
| ~ disjointwith(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f139]) ).
fof(f191,plain,
disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f194,plain,
! [X0,X1] :
( ~ disjointwith(X0,X1)
| collection(X0) ),
inference(resolution,[status(thm)],[f74,f140]) ).
fof(f197,plain,
collection(c_tptptptpcol_16_8398),
inference(resolution,[status(thm)],[f194,f191]) ).
fof(f200,plain,
~ individual(c_tptptptpcol_16_8398),
inference(resolution,[status(thm)],[f197,f62]) ).
fof(f201,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f200,f64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR031+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n002.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 14:29:47 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.41 % Elapsed time: 0.053247 seconds
% 0.13/0.41 % CPU time: 0.157036 seconds
% 0.13/0.41 % Total memory used: 56.732 MB
% 0.13/0.41 % Net memory used: 56.194 MB
%------------------------------------------------------------------------------