%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ALG354-1 : 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 : 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 11:50:04 AM UTC 2026
% Result : Unsatisfiable 0.02s 0.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG354-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n016.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 13:21:53 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.39 % Drodi V4.1.1
% 0.02/0.44 % Refutation found
% 0.02/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.02/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.02/0.44 fof(f370,axiom,(
% 0.02/0.44 (![V_z]: (( v_thesis____| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_b,c_Power_Opower__class_Opower(V_z,v_m____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ))),
% 0.02/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.44 fof(f372,axiom,(
% 0.02/0.44 c_HOL_Oord__class_Oless(v_m____,v_na____,tc_nat) ),
% 0.02/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.44 fof(f373,axiom,(
% 0.02/0.44 v_m____ != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 0.02/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.44 fof(f374,axiom,(
% 0.02/0.44 ( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_b,c_Power_Opower__class_Opower(v_sko__CHAINED__1(v_b,v_m____),v_m____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)| v_m____ = c_HOL_Ozero__class_Ozero(tc_nat)| ~ c_HOL_Oord__class_Oless(v_m____,v_na____,tc_nat) ) ),
% 0.02/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.44 fof(f375,negated_conjecture,(
% 0.02/0.44 ~ v_thesis____ ),
% 0.02/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.44 fof(f1098,plain,(
% 0.02/0.44 v_thesis____|(![V_z]: ~c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_b,c_Power_Opower__class_Opower(V_z,v_m____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 0.02/0.44 inference(miniscoping,[status(thm)],[f370])).
% 0.02/0.44 fof(f1099,plain,(
% 0.02/0.44 ![X0]: (v_thesis____|~c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_b,c_Power_Opower__class_Opower(X0,v_m____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 0.02/0.44 inference(cnf_transformation,[status(thm)],[f1098])).
% 0.02/0.44 fof(f1102,plain,(
% 0.02/0.44 c_HOL_Oord__class_Oless(v_m____,v_na____,tc_nat)),
% 0.02/0.44 inference(cnf_transformation,[status(thm)],[f372])).
% 0.02/0.44 fof(f1103,plain,(
% 0.02/0.44 ~v_m____=c_HOL_Ozero__class_Ozero(tc_nat)),
% 0.02/0.44 inference(cnf_transformation,[status(thm)],[f373])).
% 0.02/0.44 fof(f1104,plain,(
% 0.02/0.44 c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_b,c_Power_Opower__class_Opower(v_sko__CHAINED__1(v_b,v_m____),v_m____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|v_m____=c_HOL_Ozero__class_Ozero(tc_nat)|~c_HOL_Oord__class_Oless(v_m____,v_na____,tc_nat)),
% 0.02/0.44 inference(cnf_transformation,[status(thm)],[f374])).
% 0.02/0.44 fof(f1105,plain,(
% 0.02/0.44 ~v_thesis____),
% 0.02/0.44 inference(cnf_transformation,[status(thm)],[f375])).
% 0.02/0.44 fof(f1210,plain,(
% 0.02/0.44 c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_b,c_Power_Opower__class_Opower(v_sko__CHAINED__1(v_b,v_m____),v_m____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(v_m____,v_na____,tc_nat)),
% 0.02/0.44 inference(forward_subsumption_resolution,[status(thm)],[f1104,f1103])).
% 0.02/0.44 fof(f1211,plain,(
% 0.02/0.44 ![X0]: (~c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_b,c_Power_Opower__class_Opower(X0,v_m____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 0.02/0.45 inference(backward_subsumption_resolution,[status(thm)],[f1099,f1105])).
% 0.02/0.45 fof(f1212,plain,(
% 0.02/0.45 ~c_HOL_Oord__class_Oless(v_m____,v_na____,tc_nat)),
% 0.02/0.45 inference(backward_subsumption_resolution,[status(thm)],[f1210,f1211])).
% 0.02/0.45 fof(f1213,plain,(
% 0.02/0.45 $false),
% 0.02/0.45 inference(forward_subsumption_resolution,[status(thm)],[f1212,f1102])).
% 0.02/0.45 % SZS output end CNFRefutation for theBenchmark.p
% 0.02/0.48 % Elapsed time: 0.113518 seconds
% 0.02/0.48 % CPU time: 0.371185 seconds
% 0.02/0.48 % Total memory used: 127.513 MB
% 0.02/0.48 % Net memory used: 127.150 MB
%------------------------------------------------------------------------------