%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SCT075-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 02:07:17 PM UTC 2026
% Result : Unsatisfiable 0.24s 0.83s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SCT075-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.43 % Computer : n016.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 04:34:38 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.24/0.51 % Drodi V4.1.1
% 0.24/0.83 % Refutation found
% 0.24/0.83 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.24/0.83 % SZS output start CNFRefutation for theBenchmark
% 0.24/0.83 fof(f459,axiom,(
% 0.24/0.83 (![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))| V_a = V_b ) ))),
% 0.24/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.24/0.83 fof(f460,axiom,(
% 0.24/0.83 (![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))| V_a = V_b ) ))),
% 0.24/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.24/0.83 fof(f525,axiom,(
% 0.24/0.83 (![V_Lba]: (( v_thesis____| ~ 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))| ~ 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)) ) ))),
% 0.24/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.24/0.83 fof(f527,axiom,(
% 0.24/0.83 v_a____ != v_b____ ),
% 0.24/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.24/0.83 fof(f528,negated_conjecture,(
% 0.24/0.83 ~ v_thesis____ ),
% 0.24/0.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.24/0.83 fof(f1228,plain,(
% 0.24/0.83 ![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))|X0=X1)),
% 0.24/0.83 inference(cnf_transformation,[status(thm)],[f459])).
% 0.24/0.83 fof(f1229,plain,(
% 0.24/0.83 ![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))|X0=X1)),
% 0.24/0.83 inference(cnf_transformation,[status(thm)],[f460])).
% 0.24/0.83 fof(f1344,plain,(
% 0.24/0.83 ![X0]: (v_thesis____|~c_in(X0,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|~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)))),
% 0.24/0.83 inference(cnf_transformation,[status(thm)],[f525])).
% 0.24/0.83 fof(f1347,plain,(
% 0.24/0.83 ~v_a____=v_b____),
% 0.24/0.83 inference(cnf_transformation,[status(thm)],[f527])).
% 0.24/0.83 fof(f1348,plain,(
% 0.24/0.83 ~v_thesis____),
% 0.24/0.83 inference(cnf_transformation,[status(thm)],[f528])).
% 0.24/0.83 fof(f1381,definition,(
% 0.24/0.83 sQ0_spl <=> (v_thesis____)),
% 0.24/0.83 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.24/0.83 fof(f1382,plain,(
% 0.24/0.83 v_thesis____|~sQ0_spl),
% 0.24/0.83 inference(component_clause,[status(thm)],[f1381])).
% 0.24/0.83 fof(f1384,definition,(
% 0.24/0.83 ![X0]: (sQ1_spl <=> (~c_in(X0,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|~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))))),
% 0.24/0.83 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.24/0.83 fof(f1385,plain,(
% 0.24/0.83 ![X0]: (~c_in(X0,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|~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))|~sQ1_spl)),
% 0.24/0.83 inference(component_clause,[status(thm)],[f1384])).
% 0.24/0.83 fof(f1387,plain,(
% 0.24/0.83 sQ0_spl|sQ1_spl),
% 0.24/0.83 inference(split_clause,[status(thm)],[f1344,f1381,f1384])).
% 0.24/0.83 fof(f1401,plain,(
% 0.24/0.83 $false|~sQ0_spl),
% 0.24/0.83 inference(forward_subsumption_resolution,[status(thm)],[f1382,f1348])).
% 0.24/0.83 fof(f1402,plain,(
% 0.24/0.83 ~sQ0_spl),
% 0.24/0.83 inference(contradiction_clause,[status(thm)],[f1401])).
% 0.24/0.83 fof(f1691,definition,(
% 0.24/0.83 sQ16_spl <=> (v_b____=v_a____)),
% 0.24/0.83 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.24/0.83 fof(f1692,plain,(
% 0.24/0.83 v_b____=v_a____|~sQ16_spl),
% 0.24/0.83 inference(component_clause,[status(thm)],[f1691])).
% 0.24/0.83 fof(f1698,plain,(
% 0.24/0.83 $false|~sQ16_spl),
% 0.24/0.83 inference(forward_subsumption_resolution,[status(thm)],[f1692,f1347])).
% 0.24/0.83 fof(f1699,plain,(
% 0.24/0.83 ~sQ16_spl),
% 0.24/0.83 inference(contradiction_clause,[status(thm)],[f1698])).
% 0.24/0.83 fof(f1707,plain,(
% 0.24/0.83 v_b____=v_a____|~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))|~sQ1_spl),
% 0.24/0.83 inference(resolution,[status(thm)],[f1228,f1385])).
% 0.24/0.83 fof(f1710,definition,(
% 0.24/0.83 sQ19_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)))),
% 0.24/0.83 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.24/0.83 fof(f1712,plain,(
% 0.24/0.83 ~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))|sQ19_spl),
% 0.24/0.83 inference(component_clause,[status(thm)],[f1710])).
% 0.24/0.83 fof(f1713,plain,(
% 0.24/0.83 sQ16_spl|~sQ19_spl|~sQ1_spl),
% 0.24/0.83 inference(split_clause,[status(thm)],[f1707,f1691,f1710,f1384])).
% 0.24/0.83 fof(f2674,definition,(
% 0.24/0.83 ![X0]: (sQ83_spl <=> (~c_Set_Oinsert(c_Arrow__Order__Mirabelle_Omkbot(X0,v_b____),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))=c_Set_Oinsert(c_Arrow__Order__Mirabelle_Omkbot(X0,v_b____),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))))),
% 0.24/0.83 introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition])).
% 0.24/0.83 fof(f2675,plain,(
% 0.24/0.83 ![X0]: (~c_Set_Oinsert(c_Arrow__Order__Mirabelle_Omkbot(X0,v_b____),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))=c_Set_Oinsert(c_Arrow__Order__Mirabelle_Omkbot(X0,v_b____),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|~sQ83_spl)),
% 0.24/0.83 inference(component_clause,[status(thm)],[f2674])).
% 0.24/0.83 fof(f2679,plain,(
% 0.24/0.83 $false|~sQ83_spl),
% 0.24/0.83 inference(trivial_equality_resolution,[status(thm)],[f2675])).
% 0.24/0.83 fof(f2680,plain,(
% 0.24/0.83 ~sQ83_spl),
% 0.24/0.83 inference(contradiction_clause,[status(thm)],[f2679])).
% 0.24/0.83 fof(f2696,definition,(
% 0.24/0.83 ![X0]: (sQ85_spl <=> (~c_Set_Oinsert(c_Arrow__Order__Mirabelle_Omktop(X0,v_a____),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))=c_Set_Oinsert(c_Arrow__Order__Mirabelle_Omktop(X0,v_a____),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))))),
% 0.24/0.83 introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition])).
% 0.24/0.83 fof(f2697,plain,(
% 0.24/0.83 ![X0]: (~c_Set_Oinsert(c_Arrow__Order__Mirabelle_Omktop(X0,v_a____),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))=c_Set_Oinsert(c_Arrow__Order__Mirabelle_Omktop(X0,v_a____),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))|~sQ85_spl)),
% 0.24/0.83 inference(component_clause,[status(thm)],[f2696])).
% 0.24/0.83 fof(f2701,plain,(
% 0.24/0.83 $false|~sQ85_spl),
% 0.24/0.83 inference(trivial_equality_resolution,[status(thm)],[f2697])).
% 0.24/0.83 fof(f2702,plain,(
% 0.24/0.83 ~sQ85_spl),
% 0.24/0.83 inference(contradiction_clause,[status(thm)],[f2701])).
% 0.24/0.83 fof(f2704,plain,(
% 0.24/0.83 v_b____=v_a____|sQ19_spl),
% 0.24/0.83 inference(resolution,[status(thm)],[f1712,f1229])).
% 0.24/0.83 fof(f2714,plain,(
% 0.24/0.83 sQ16_spl|sQ19_spl),
% 0.24/0.83 inference(split_clause,[status(thm)],[f2704,f1691,f1710])).
% 0.24/0.83 fof(f2725,plain,(
% 0.24/0.83 $false),
% 0.24/0.83 inference(sat_refutation,[status(thm)],[f1387,f1402,f1699,f1713,f2680,f2702,f2714])).
% 0.24/0.83 % SZS output end CNFRefutation for theBenchmark.p
% 0.24/0.88 % Elapsed time: 0.423238 seconds
% 0.24/0.88 % CPU time: 2.606540 seconds
% 0.24/0.88 % Total memory used: 166.591 MB
% 0.24/0.88 % Net memory used: 164.979 MB
%------------------------------------------------------------------------------