%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SCT042-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 02:06:50 PM UTC 2026
% Result : Unsatisfiable 2.12s 0.75s
% Output : CNFRefutation 2.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 7 unt; 0 def)
% Number of atoms : 17 ( 5 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 8 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f596,axiom,
! [V_a,V_b] :
( V_a = V_b
| c_List_Odistinct(c_List_Olist_OCons(V_a,c_List_Olist_OCons(V_b,c_List_Olist_OCons(v_sko__Arrow__Order__Mirabelle__Xthird__alt__1(V_a,V_b),c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f601,axiom,
! [V_c] :
( ~ c_List_Odistinct(c_List_Olist_OCons(v_a____,c_List_Olist_OCons(v_b____,c_List_Olist_OCons(V_c,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)
| v_thesis____ ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f608,axiom,
v_a____ != v_b____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f609,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1536,plain,
! [X0,X1] :
( X0 = X1
| c_List_Odistinct(c_List_Olist_OCons(X0,c_List_Olist_OCons(X1,c_List_Olist_OCons(v_sko__Arrow__Order__Mirabelle__Xthird__alt__1(X0,X1),c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt) ),
inference(cnf_transformation,[status(thm)],[f596]) ).
fof(f1543,plain,
( ! [V_c] : ~ c_List_Odistinct(c_List_Olist_OCons(v_a____,c_List_Olist_OCons(v_b____,c_List_Olist_OCons(V_c,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)
| v_thesis____ ),
inference(miniscoping,[status(thm)],[f601]) ).
fof(f1544,plain,
! [X0] :
( ~ c_List_Odistinct(c_List_Olist_OCons(v_a____,c_List_Olist_OCons(v_b____,c_List_Olist_OCons(X0,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)
| v_thesis____ ),
inference(cnf_transformation,[status(thm)],[f1543]) ).
fof(f1552,plain,
v_a____ != v_b____,
inference(cnf_transformation,[status(thm)],[f608]) ).
fof(f1553,plain,
~ v_thesis____,
inference(cnf_transformation,[status(thm)],[f609]) ).
fof(f1666,plain,
! [X0] : ~ c_List_Odistinct(c_List_Olist_OCons(v_a____,c_List_Olist_OCons(v_b____,c_List_Olist_OCons(X0,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),
inference(backward_subsumption_resolution,[status(thm)],[f1544,f1553]) ).
fof(f1672,plain,
v_a____ = v_b____,
inference(resolution,[status(thm)],[f1536,f1666]) ).
fof(f1673,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1672,f1552]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SCT042-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n005.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 : Mon Sep 21 04:27:19 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.41 % Drodi V4.1.1
% 2.12/0.75 % Refutation found
% 2.12/0.75 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.12/0.75 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.12/0.78 % Elapsed time: 0.394637 seconds
% 2.12/0.78 % CPU time: 2.437638 seconds
% 2.12/0.78 % Total memory used: 174.098 MB
% 2.12/0.78 % Net memory used: 172.387 MB
%------------------------------------------------------------------------------