%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV693-1 : 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 : 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 02:53:01 PM UTC 2026
% Result : Unsatisfiable 12.15s 2.22s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV693-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.38 % Computer : n013.cluster.edu
% 0.14/0.38 % Model : x86_64 x86_64
% 0.14/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.38 % Memory : 8046.5625MB
% 0.14/0.38 % OS : Linux 6.8.0-71-generic
% 0.14/0.38 % CPULimit : 300
% 0.14/0.38 % WCLimit : 300
% 0.14/0.38 % DateTime : Mon Sep 21 09:18:51 UTC 2026
% 0.14/0.39 % CPUTime :
% 0.28/0.60 % Drodi V4.1.1
% 12.15/2.22 % Refutation found
% 12.15/2.22 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 12.15/2.22 % SZS output start CNFRefutation for theBenchmark
% 12.15/2.22 fof(f1113,axiom,(
% 12.15/2.22 hBOOL(hAPP(c_HOL_Oord__class_Oless(v_i,tc_nat),v_n)) ),
% 12.15/2.22 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.15/2.22 fof(f1194,axiom,(
% 12.15/2.22 (![T_a,V_l,V_u]: (( ~ class_Orderings_Olinorder(T_a)| c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_l,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),c_SetInterval_Oord__class_OgreaterThanLessThan(V_l,V_u,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_u,T_a)| ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(V_l,T_a),V_u)) ) ))),
% 12.15/2.22 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.15/2.22 fof(f1307,axiom,(
% 12.15/2.22 (![V_a,V_A,T_a]: (c_Set_Oinsert(V_a,V_A,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_A,tc_fun(T_a,tc_bool)) ))),
% 12.15/2.22 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.15/2.22 fof(f1312,negated_conjecture,(
% 12.15/2.22 hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,tc_Complex_Ocomplex),c_COMBS(hAPP(hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_Complex_Ocomplex),tc_nat),c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex)),hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_Complex_Ocomplex),tc_fun(tc_fun(tc_nat,tc_bool),tc_Complex_Ocomplex),tc_nat),c_Finite__Set_Osetsum(tc_nat,tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_nat,tc_Complex_Ocomplex),tc_nat),c_Power_Opower__class_Opower(tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_nat,tc_Complex_Ocomplex,tc_nat),hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n))),hAPP(c_COMBC(c_HOL_Ominus__class_Ominus(tc_nat),tc_nat,tc_nat,tc_nat),v_i)))),tc_nat,tc_fun(tc_nat,tc_bool),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),v_n,tc_nat))),v_a,tc_nat,tc_Complex_Ocomplex,tc_Complex_Ocomplex)),c_SetInterval_Oord__class_OatLeastLessThan(v_i,v_n,tc_nat)) != hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,tc_Complex_Ocomplex),c_COMBS(hAPP(hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_Complex_Ocomplex),tc_nat),c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex)),hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_Complex_Ocomplex),tc_fun(tc_fun(tc_nat,tc_bool),tc_Complex_Ocomplex),tc_nat),c_Finite__Set_Osetsum(tc_nat,tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_nat,tc_Complex_Ocomplex),tc_nat),c_Power_Opower__class_Opower(tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_nat,tc_Complex_Ocomplex,tc_nat),hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n))),hAPP(c_COMBC(c_HOL_Ominus__class_Ominus(tc_nat),tc_nat,tc_nat,tc_nat),v_i)))),tc_nat,tc_fun(tc_nat,tc_bool),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),v_n,tc_nat))),v_a,tc_nat,tc_Complex_Ocomplex,tc_Complex_Ocomplex)),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(v_i,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),c_SetInterval_Oord__class_OgreaterThanLessThan(v_i,v_n,tc_nat),tc_fun(tc_nat,tc_bool))) ),
% 12.15/2.22 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.15/2.22 fof(f1356,axiom,(
% 12.15/2.22 class_Orderings_Olinorder(tc_nat) ),
% 12.15/2.22 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.15/2.22 fof(f3263,plain,(
% 12.15/2.22 hBOOL(hAPP(c_HOL_Oord__class_Oless(v_i,tc_nat),v_n))),
% 12.15/2.22 inference(cnf_transformation,[status(thm)],[f1113])).
% 12.15/2.22 fof(f3410,plain,(
% 12.15/2.22 ![X0,X1,X2]: (~class_Orderings_Olinorder(X0)|c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X0),c_SetInterval_Oord__class_OgreaterThanLessThan(X1,X2,X0),tc_fun(X0,tc_bool))=c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X0)|~hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X2)))),
% 12.15/2.22 inference(cnf_transformation,[status(thm)],[f1194])).
% 12.15/2.22 fof(f3609,plain,(
% 12.15/2.22 ![X0,X1,X2]: (c_Set_Oinsert(X0,X1,X2)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X1,tc_fun(X2,tc_bool)))),
% 12.15/2.22 inference(cnf_transformation,[status(thm)],[f1307])).
% 12.15/2.22 fof(f3616,plain,(
% 12.15/2.22 ~hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,tc_Complex_Ocomplex),c_COMBS(hAPP(hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_Complex_Ocomplex),tc_nat),c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex)),hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_Complex_Ocomplex),tc_fun(tc_fun(tc_nat,tc_bool),tc_Complex_Ocomplex),tc_nat),c_Finite__Set_Osetsum(tc_nat,tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_nat,tc_Complex_Ocomplex),tc_nat),c_Power_Opower__class_Opower(tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_nat,tc_Complex_Ocomplex,tc_nat),hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n))),hAPP(c_COMBC(c_HOL_Ominus__class_Ominus(tc_nat),tc_nat,tc_nat,tc_nat),v_i)))),tc_nat,tc_fun(tc_nat,tc_bool),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),v_n,tc_nat))),v_a,tc_nat,tc_Complex_Ocomplex,tc_Complex_Ocomplex)),c_SetInterval_Oord__class_OatLeastLessThan(v_i,v_n,tc_nat))=hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,tc_Complex_Ocomplex),c_COMBS(hAPP(hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_Complex_Ocomplex),tc_nat),c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex)),hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_Complex_Ocomplex),tc_fun(tc_fun(tc_nat,tc_bool),tc_Complex_Ocomplex),tc_nat),c_Finite__Set_Osetsum(tc_nat,tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_nat,tc_Complex_Ocomplex),tc_nat),c_Power_Opower__class_Opower(tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_nat,tc_Complex_Ocomplex,tc_nat),hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n))),hAPP(c_COMBC(c_HOL_Ominus__class_Ominus(tc_nat),tc_nat,tc_nat,tc_nat),v_i)))),tc_nat,tc_fun(tc_nat,tc_bool),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),v_n,tc_nat))),v_a,tc_nat,tc_Complex_Ocomplex,tc_Complex_Ocomplex)),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(v_i,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),c_SetInterval_Oord__class_OgreaterThanLessThan(v_i,v_n,tc_nat),tc_fun(tc_nat,tc_bool)))),
% 12.15/2.22 inference(cnf_transformation,[status(thm)],[f1312])).
% 12.15/2.22 fof(f3669,plain,(
% 12.15/2.22 class_Orderings_Olinorder(tc_nat)),
% 12.15/2.22 inference(cnf_transformation,[status(thm)],[f1356])).
% 12.15/2.22 fof(f3814,plain,(
% 12.15/2.22 ![X0,X1,X2]: (~class_Orderings_Olinorder(X0)|c_Set_Oinsert(X1,c_SetInterval_Oord__class_OgreaterThanLessThan(X1,X2,X0),X0)=c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X0)|~hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,X0),X2)))),
% 12.15/2.22 inference(backward_demodulation,[status(thm)],[f3609,f3410])).
% 12.15/2.22 fof(f3816,plain,(
% 12.15/2.22 ~hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,tc_Complex_Ocomplex),c_COMBS(hAPP(hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_Complex_Ocomplex),tc_nat),c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex)),hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_Complex_Ocomplex),tc_fun(tc_fun(tc_nat,tc_bool),tc_Complex_Ocomplex),tc_nat),c_Finite__Set_Osetsum(tc_nat,tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_nat,tc_Complex_Ocomplex),tc_nat),c_Power_Opower__class_Opower(tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_nat,tc_Complex_Ocomplex,tc_nat),hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n))),hAPP(c_COMBC(c_HOL_Ominus__class_Ominus(tc_nat),tc_nat,tc_nat,tc_nat),v_i)))),tc_nat,tc_fun(tc_nat,tc_bool),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),v_n,tc_nat))),v_a,tc_nat,tc_Complex_Ocomplex,tc_Complex_Ocomplex)),c_SetInterval_Oord__class_OatLeastLessThan(v_i,v_n,tc_nat))=hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,tc_Complex_Ocomplex),c_COMBS(hAPP(hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_Complex_Ocomplex),tc_nat),c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex)),hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_Complex_Ocomplex),tc_fun(tc_fun(tc_nat,tc_bool),tc_Complex_Ocomplex),tc_nat),c_Finite__Set_Osetsum(tc_nat,tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_nat,tc_Complex_Ocomplex),tc_nat),c_Power_Opower__class_Opower(tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_nat,tc_Complex_Ocomplex,tc_nat),hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n))),hAPP(c_COMBC(c_HOL_Ominus__class_Ominus(tc_nat),tc_nat,tc_nat,tc_nat),v_i)))),tc_nat,tc_fun(tc_nat,tc_bool),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),v_n,tc_nat))),v_a,tc_nat,tc_Complex_Ocomplex,tc_Complex_Ocomplex)),c_Set_Oinsert(v_i,c_SetInterval_Oord__class_OgreaterThanLessThan(v_i,v_n,tc_nat),tc_nat))),
% 12.15/2.22 inference(forward_demodulation,[status(thm)],[f3609,f3616])).
% 12.15/2.22 fof(f4288,definition,(
% 12.15/2.22 sQ24_spl <=> (class_Orderings_Olinorder(tc_nat))),
% 12.15/2.22 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 12.15/2.22 fof(f4290,plain,(
% 12.15/2.22 ~class_Orderings_Olinorder(tc_nat)|sQ24_spl),
% 12.15/2.22 inference(component_clause,[status(thm)],[f4288])).
% 12.15/2.22 fof(f4303,plain,(
% 12.15/2.22 $false|sQ24_spl),
% 12.15/2.22 inference(forward_subsumption_resolution,[status(thm)],[f4290,f3669])).
% 12.15/2.22 fof(f4304,plain,(
% 12.15/2.22 sQ24_spl),
% 12.15/2.22 inference(contradiction_clause,[status(thm)],[f4303])).
% 12.15/2.22 fof(f5462,plain,(
% 12.15/2.22 ~class_Orderings_Olinorder(tc_nat)|c_Set_Oinsert(v_i,c_SetInterval_Oord__class_OgreaterThanLessThan(v_i,v_n,tc_nat),tc_nat)=c_SetInterval_Oord__class_OatLeastLessThan(v_i,v_n,tc_nat)),
% 12.15/2.22 inference(resolution,[status(thm)],[f3814,f3263])).
% 12.15/2.22 fof(f5483,definition,(
% 12.15/2.22 sQ148_spl <=> (c_Set_Oinsert(v_i,c_SetInterval_Oord__class_OgreaterThanLessThan(v_i,v_n,tc_nat),tc_nat)=c_SetInterval_Oord__class_OatLeastLessThan(v_i,v_n,tc_nat))),
% 12.15/2.22 introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition])).
% 12.15/2.22 fof(f5484,plain,(
% 12.15/2.22 c_Set_Oinsert(v_i,c_SetInterval_Oord__class_OgreaterThanLessThan(v_i,v_n,tc_nat),tc_nat)=c_SetInterval_Oord__class_OatLeastLessThan(v_i,v_n,tc_nat)|~sQ148_spl),
% 12.15/2.22 inference(component_clause,[status(thm)],[f5483])).
% 12.15/2.22 fof(f5486,plain,(
% 12.15/2.22 ~sQ24_spl|sQ148_spl),
% 12.15/2.22 inference(split_clause,[status(thm)],[f5462,f4288,f5483])).
% 12.15/2.22 fof(f5487,plain,(
% 12.15/2.22 ~hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,tc_Complex_Ocomplex),c_COMBS(hAPP(hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_Complex_Ocomplex),tc_nat),c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex)),hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_Complex_Ocomplex),tc_fun(tc_fun(tc_nat,tc_bool),tc_Complex_Ocomplex),tc_nat),c_Finite__Set_Osetsum(tc_nat,tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_nat,tc_Complex_Ocomplex),tc_nat),c_Power_Opower__class_Opower(tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_nat,tc_Complex_Ocomplex,tc_nat),hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n))),hAPP(c_COMBC(c_HOL_Ominus__class_Ominus(tc_nat),tc_nat,tc_nat,tc_nat),v_i)))),tc_nat,tc_fun(tc_nat,tc_bool),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),v_n,tc_nat))),v_a,tc_nat,tc_Complex_Ocomplex,tc_Complex_Ocomplex)),c_SetInterval_Oord__class_OatLeastLessThan(v_i,v_n,tc_nat))=hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,tc_Complex_Ocomplex),c_COMBS(hAPP(hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_Complex_Ocomplex),tc_nat),c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex)),hAPP(c_COMBC(hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_Complex_Ocomplex),tc_fun(tc_fun(tc_nat,tc_bool),tc_Complex_Ocomplex),tc_nat),c_Finite__Set_Osetsum(tc_nat,tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_nat,tc_Complex_Ocomplex),tc_nat),c_Power_Opower__class_Opower(tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_nat,tc_Complex_Ocomplex,tc_nat),hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n))),hAPP(c_COMBC(c_HOL_Ominus__class_Ominus(tc_nat),tc_nat,tc_nat,tc_nat),v_i)))),tc_nat,tc_fun(tc_nat,tc_bool),tc_Complex_Ocomplex),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),v_n,tc_nat))),v_a,tc_nat,tc_Complex_Ocomplex,tc_Complex_Ocomplex)),c_SetInterval_Oord__class_OatLeastLessThan(v_i,v_n,tc_nat))|~sQ148_spl),
% 12.15/2.22 inference(backward_demodulation,[status(thm)],[f5484,f3816])).
% 12.15/2.25 fof(f5488,plain,(
% 12.15/2.25 $false|~sQ148_spl),
% 12.15/2.25 inference(trivial_equality_resolution,[status(thm)],[f5487])).
% 12.15/2.25 fof(f5489,plain,(
% 12.15/2.25 ~sQ148_spl),
% 12.15/2.25 inference(contradiction_clause,[status(thm)],[f5488])).
% 12.15/2.25 fof(f5490,plain,(
% 12.15/2.25 $false),
% 12.15/2.25 inference(sat_refutation,[status(thm)],[f4304,f5486,f5489])).
% 12.15/2.25 % SZS output end CNFRefutation for theBenchmark.p
% 9.92/2.30 % Elapsed time: 1.897285 seconds
% 9.92/2.30 % CPU time: 13.169776 seconds
% 9.92/2.30 % Total memory used: 304.837 MB
% 9.92/2.30 % Net memory used: 299.884 MB
%------------------------------------------------------------------------------