%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SCT088-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/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 02:06:55 PM UTC 2026
% Result : Unsatisfiable 0.21s 10.90s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 7 unt; 2 def)
% Number of atoms : 33 ( 5 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 29 ( 16 ~; 11 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f599,axiom,
! [V_e] :
( ~ c_List_Odistinct(c_List_Olist_OCons(v_c____,c_List_Olist_OCons(v_d____,c_List_Olist_OCons(V_e,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f607,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__CHAINED__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/sandbox2/benchmark/theBenchmark.p') ).
fof(f609,axiom,
v_c____ != v_d____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f611,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1549,plain,
( ! [V_e] : ~ c_List_Odistinct(c_List_Olist_OCons(v_c____,c_List_Olist_OCons(v_d____,c_List_Olist_OCons(V_e,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)],[f599]) ).
fof(f1550,plain,
! [X0] :
( ~ c_List_Odistinct(c_List_Olist_OCons(v_c____,c_List_Olist_OCons(v_d____,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)],[f1549]) ).
fof(f1559,plain,
! [X0,X1] :
( X0 = X1
| c_List_Odistinct(c_List_Olist_OCons(X0,c_List_Olist_OCons(X1,c_List_Olist_OCons(v_sko__CHAINED__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)],[f607]) ).
fof(f1561,plain,
v_c____ != v_d____,
inference(cnf_transformation,[status(thm)],[f609]) ).
fof(f1563,plain,
~ v_thesis____,
inference(cnf_transformation,[status(thm)],[f611]) ).
fof(f1631,definition,
( sQ0_spl
<=> v_thesis____ ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f1632,plain,
( ~ sQ0_spl
| v_thesis____ ),
inference(component_clause,[status(thm)],[f1631]) ).
fof(f1634,definition,
! [X0] :
( sQ1_spl
<=> ~ c_List_Odistinct(c_List_Olist_OCons(v_c____,c_List_Olist_OCons(v_d____,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) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f1635,plain,
! [X0] :
( ~ sQ1_spl
| ~ c_List_Odistinct(c_List_Olist_OCons(v_c____,c_List_Olist_OCons(v_d____,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(component_clause,[status(thm)],[f1634]) ).
fof(f1637,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f1550,f1631,f1634]) ).
fof(f1700,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1632,f1563]) ).
fof(f1701,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f1700]) ).
fof(f2247,plain,
( ~ sQ1_spl
| v_c____ = v_d____ ),
inference(resolution,[status(thm)],[f1635,f1559]) ).
fof(f2253,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2247,f1561]) ).
fof(f2254,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f2253]) ).
fof(f2255,plain,
$false,
inference(sat_refutation,[status(thm)],[f1637,f1701,f2254]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SCT088-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/10.66 % Computer : n002.cluster.edu
% 0.15/10.66 % Model : x86_64 x86_64
% 0.15/10.66 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/10.66 % Memory : 8046.5625MB
% 0.15/10.66 % OS : Linux 6.8.0-71-generic
% 0.15/10.66 % CPULimit : 300
% 0.15/10.66 % WCLimit : 300
% 0.15/10.66 % DateTime : Mon Sep 21 04:33:13 UTC 2026
% 0.15/10.66 % CPUTime :
% 0.21/10.73 % Drodi V4.1.1
% 0.21/10.90 % Refutation found
% 0.21/10.90 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/10.90 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/10.94 % Elapsed time: 0.261193 seconds
% 0.21/10.94 % CPU time: 1.456500 seconds
% 0.21/10.94 % Total memory used: 150.309 MB
% 0.21/10.94 % Net memory used: 149.650 MB
%------------------------------------------------------------------------------