%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SCT075-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 02:06:53 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.50s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of formulae : 28 ( 7 unt; 4 def)
% Number of atoms : 55 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 51 ( 24 ~; 23 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 6 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-4 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f459,axiom,
! [V_a,V_b] :
( V_a = V_b
| c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(V_a,V_b),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f460,axiom,
! [V_a,V_b] :
( V_a = V_b
| c_in(v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(V_a,V_b),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f525,axiom,
! [V_Lba] :
( ~ c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_Lba,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(V_Lba,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
| v_thesis____ ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f527,axiom,
v_a____ != v_b____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f528,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1228,plain,
! [X0,X1] :
( X0 = X1
| c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(X0,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
inference(cnf_transformation,[status(thm)],[f459]) ).
fof(f1229,plain,
! [X0,X1] :
( X0 = X1
| c_in(v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(X0,X1),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
inference(cnf_transformation,[status(thm)],[f460]) ).
fof(f1344,plain,
! [X0] :
( ~ c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(X0,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
| v_thesis____ ),
inference(cnf_transformation,[status(thm)],[f525]) ).
fof(f1347,plain,
v_a____ != v_b____,
inference(cnf_transformation,[status(thm)],[f527]) ).
fof(f1348,plain,
~ v_thesis____,
inference(cnf_transformation,[status(thm)],[f528]) ).
fof(f1381,definition,
( sQ0_spl
<=> v_thesis____ ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f1382,plain,
( ~ sQ0_spl
| v_thesis____ ),
inference(component_clause,[status(thm)],[f1381]) ).
fof(f1384,definition,
! [X0] :
( sQ1_spl
<=> ( ~ c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(X0,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f1385,plain,
! [X0] :
( ~ sQ1_spl
| ~ c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(X0,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
inference(component_clause,[status(thm)],[f1384]) ).
fof(f1387,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f1344,f1381,f1384]) ).
fof(f1416,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1382,f1348]) ).
fof(f1417,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f1416]) ).
fof(f1435,definition,
( sQ4_spl
<=> v_b____ = v_a____ ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f1436,plain,
( ~ sQ4_spl
| v_b____ = v_a____ ),
inference(component_clause,[status(thm)],[f1435]) ).
fof(f1442,plain,
( ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1436,f1347]) ).
fof(f1443,plain,
~ sQ4_spl,
inference(contradiction_clause,[status(thm)],[f1442]) ).
fof(f1449,plain,
( ~ sQ1_spl
| ~ c_in(v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(v_b____,v_a____),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
| v_b____ = v_a____ ),
inference(resolution,[status(thm)],[f1228,f1385]) ).
fof(f1450,definition,
( sQ7_spl
<=> c_in(v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(v_b____,v_a____),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f1452,plain,
( sQ7_spl
| ~ c_in(v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(v_b____,v_a____),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
inference(component_clause,[status(thm)],[f1450]) ).
fof(f1453,plain,
( ~ sQ1_spl
| ~ sQ7_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f1449,f1435,f1450,f1384]) ).
fof(f1491,plain,
( sQ7_spl
| v_b____ = v_a____ ),
inference(resolution,[status(thm)],[f1452,f1229]) ).
fof(f1498,plain,
( sQ7_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f1491,f1435,f1450]) ).
fof(f1499,plain,
$false,
inference(sat_refutation,[status(thm)],[f1387,f1417,f1443,f1453,f1498]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SCT075-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n008.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 21 04:30:39 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.12/0.39 % Drodi V4.1.1
% 0.12/0.50 % Refutation found
% 0.12/0.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.53 % Elapsed time: 0.176406 seconds
% 0.12/0.53 % CPU time: 0.854189 seconds
% 0.12/0.53 % Total memory used: 150.338 MB
% 0.12/0.53 % Net memory used: 149.801 MB
%------------------------------------------------------------------------------