%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LAT272-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 01:02:29 PM UTC 2026
% Result : Unsatisfiable 0.41s 0.65s
% Output : CNFRefutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 8 unt; 0 def)
% Number of atoms : 19 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 11 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-4 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [V_S,V_L,V_y] :
( c_in(c_Pair(V_y,V_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(V_y,V_S,t_a)
| ~ c_Tarski_OisLub(V_S,v_cl,V_L,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2756,negated_conjecture,
c_Tarski_OisLub(v_S,v_cl,v_L,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2758,negated_conjecture,
c_in(v_x,v_S,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2759,negated_conjecture,
~ c_in(c_Pair(v_x,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2775,plain,
! [V_L,V_y] :
( c_in(c_Pair(V_y,V_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ! [V_S] :
( ~ c_in(V_y,V_S,t_a)
| ~ c_Tarski_OisLub(V_S,v_cl,V_L,t_a) ) ),
inference(miniscoping,[status(thm)],[f9]) ).
fof(f2776,plain,
! [X0,X1,X2] :
( c_in(c_Pair(X2,X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X2,X0,t_a)
| ~ c_Tarski_OisLub(X0,v_cl,X1,t_a) ),
inference(cnf_transformation,[status(thm)],[f2775]) ).
fof(f6142,plain,
c_Tarski_OisLub(v_S,v_cl,v_L,t_a),
inference(cnf_transformation,[status(thm)],[f2756]) ).
fof(f6144,plain,
c_in(v_x,v_S,t_a),
inference(cnf_transformation,[status(thm)],[f2758]) ).
fof(f6145,plain,
~ c_in(c_Pair(v_x,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(cnf_transformation,[status(thm)],[f2759]) ).
fof(f6151,plain,
! [X0] :
( ~ c_in(v_x,X0,t_a)
| ~ c_Tarski_OisLub(X0,v_cl,v_L,t_a) ),
inference(resolution,[status(thm)],[f6145,f2776]) ).
fof(f6166,plain,
~ c_in(v_x,v_S,t_a),
inference(resolution,[status(thm)],[f6151,f6142]) ).
fof(f6167,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f6166,f6144]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LAT272-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.41 % Computer : n026.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Sun Sep 20 23:27:06 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.35/0.60 % Drodi V4.1.1
% 0.41/0.65 % Refutation found
% 0.41/0.65 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.41/0.65 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.41/0.71 % Elapsed time: 0.284304 seconds
% 0.41/0.71 % CPU time: 0.516631 seconds
% 0.41/0.71 % Total memory used: 176.342 MB
% 0.41/0.71 % Net memory used: 175.510 MB
%------------------------------------------------------------------------------