%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SCT070-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 02:07:16 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SCT070-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.42 % Computer : n013.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Mon Sep 21 04:29:06 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.47 % Drodi V4.1.1
% 0.17/0.48 % Refutation found
% 0.17/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.48 fof(f657,axiom,(
% 0.17/0.48 ( v_b____ != v_a_H____| v_a____ != v_b_H____| c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| ~ c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ) ),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f658,axiom,(
% 0.17/0.48 ( v_b____ != v_a_H____| v_a____ != v_b_H____| c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| ~ c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ) ),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f659,axiom,(
% 0.17/0.48 ( v_b____ != v_a_H____| v_a____ = v_b_H____| c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| ~ c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ) ),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f660,axiom,(
% 0.17/0.48 ( v_b____ != v_a_H____| v_a____ = v_b_H____| c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| ~ c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ) ),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f661,axiom,(
% 0.17/0.48 ( v_a____ != v_b_H____| c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| ~ c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| v_b____ = v_a_H____ ) ),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f662,axiom,(
% 0.17/0.48 ( v_a____ != v_b_H____| c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| ~ c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| v_b____ = v_a_H____ ) ),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f663,axiom,(
% 0.17/0.48 ( c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| ~ c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| v_b____ = v_a_H____| v_a____ = v_b_H____ ) ),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f664,axiom,(
% 0.17/0.48 ( c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| ~ c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| v_b____ = v_a_H____| v_a____ = v_b_H____ ) ),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f665,negated_conjecture,(
% 0.17/0.48 ( ~ c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| ~ c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ) ),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f666,negated_conjecture,(
% 0.17/0.48 ( c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ) ),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f1666,plain,(
% 0.17/0.48 ~v_b____=v_a_H____|~v_a____=v_b_H____|c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f657])).
% 0.17/0.48 fof(f1667,plain,(
% 0.17/0.48 ~v_b____=v_a_H____|~v_a____=v_b_H____|c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f658])).
% 0.17/0.48 fof(f1668,plain,(
% 0.17/0.48 ~v_b____=v_a_H____|v_a____=v_b_H____|c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f659])).
% 0.17/0.48 fof(f1669,plain,(
% 0.17/0.48 ~v_b____=v_a_H____|v_a____=v_b_H____|c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f660])).
% 0.17/0.48 fof(f1670,plain,(
% 0.17/0.48 ~v_a____=v_b_H____|c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|v_b____=v_a_H____),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f661])).
% 0.17/0.48 fof(f1671,plain,(
% 0.17/0.48 ~v_a____=v_b_H____|c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|v_b____=v_a_H____),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f662])).
% 0.17/0.48 fof(f1672,plain,(
% 0.17/0.48 c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|v_b____=v_a_H____|v_a____=v_b_H____),
% 0.17/0.50 inference(cnf_transformation,[status(thm)],[f663])).
% 0.17/0.50 fof(f1673,plain,(
% 0.17/0.50 c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|v_b____=v_a_H____|v_a____=v_b_H____),
% 0.17/0.50 inference(cnf_transformation,[status(thm)],[f664])).
% 0.17/0.50 fof(f1674,plain,(
% 0.17/0.50 ~c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
% 0.17/0.50 inference(cnf_transformation,[status(thm)],[f665])).
% 0.17/0.50 fof(f1675,plain,(
% 0.17/0.50 c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
% 0.17/0.50 inference(cnf_transformation,[status(thm)],[f666])).
% 0.17/0.50 fof(f1709,definition,(
% 0.17/0.50 sQ0_spl <=> (v_b____=v_a_H____)),
% 0.17/0.50 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.17/0.50 fof(f1712,definition,(
% 0.17/0.50 sQ1_spl <=> (v_a____=v_b_H____)),
% 0.17/0.50 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.17/0.50 fof(f1715,definition,(
% 0.17/0.50 sQ2_spl <=> (c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.17/0.50 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.17/0.50 fof(f1718,definition,(
% 0.17/0.50 sQ3_spl <=> (c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.17/0.50 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.17/0.50 fof(f1721,plain,(
% 0.17/0.50 ~sQ0_spl|~sQ1_spl|sQ2_spl|~sQ3_spl),
% 0.17/0.50 inference(split_clause,[status(thm)],[f1666,f1709,f1712,f1715,f1718])).
% 0.17/0.50 fof(f1722,plain,(
% 0.17/0.50 ~sQ0_spl|~sQ1_spl|sQ3_spl|~sQ2_spl),
% 0.17/0.50 inference(split_clause,[status(thm)],[f1667,f1709,f1712,f1718,f1715])).
% 0.17/0.50 fof(f1723,plain,(
% 0.17/0.50 ~sQ0_spl|sQ1_spl|sQ2_spl|~sQ3_spl),
% 0.17/0.50 inference(split_clause,[status(thm)],[f1668,f1709,f1712,f1715,f1718])).
% 0.17/0.50 fof(f1724,plain,(
% 0.17/0.50 ~sQ0_spl|sQ1_spl|sQ3_spl|~sQ2_spl),
% 0.17/0.50 inference(split_clause,[status(thm)],[f1669,f1709,f1712,f1718,f1715])).
% 0.17/0.50 fof(f1725,plain,(
% 0.17/0.50 ~sQ1_spl|sQ2_spl|~sQ3_spl|sQ0_spl),
% 0.17/0.50 inference(split_clause,[status(thm)],[f1670,f1712,f1715,f1718,f1709])).
% 0.17/0.50 fof(f1726,plain,(
% 0.17/0.50 ~sQ1_spl|sQ3_spl|~sQ2_spl|sQ0_spl),
% 0.17/0.50 inference(split_clause,[status(thm)],[f1671,f1712,f1718,f1715,f1709])).
% 0.17/0.50 fof(f1727,plain,(
% 0.17/0.50 sQ2_spl|~sQ3_spl|sQ0_spl|sQ1_spl),
% 0.17/0.50 inference(split_clause,[status(thm)],[f1672,f1715,f1718,f1709,f1712])).
% 0.17/0.50 fof(f1728,plain,(
% 0.17/0.50 sQ3_spl|~sQ2_spl|sQ0_spl|sQ1_spl),
% 0.17/0.50 inference(split_clause,[status(thm)],[f1673,f1718,f1715,f1709,f1712])).
% 0.17/0.50 fof(f1729,plain,(
% 0.17/0.50 ~sQ3_spl|~sQ2_spl),
% 0.17/0.50 inference(split_clause,[status(thm)],[f1674,f1718,f1715])).
% 0.17/0.50 fof(f1730,plain,(
% 0.17/0.50 sQ2_spl|sQ3_spl),
% 0.17/0.50 inference(split_clause,[status(thm)],[f1675,f1715,f1718])).
% 0.17/0.50 fof(f1731,plain,(
% 0.17/0.50 $false),
% 0.17/0.50 inference(sat_refutation,[status(thm)],[f1721,f1722,f1723,f1724,f1725,f1726,f1727,f1728,f1729,f1730])).
% 0.17/0.50 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.57 % Elapsed time: 0.135775 seconds
% 0.17/0.57 % CPU time: 0.130394 seconds
% 0.17/0.57 % Total memory used: 4.244 MB
% 0.17/0.57 % Net memory used: 4.231 MB
%------------------------------------------------------------------------------