%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ALG407-1 : 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 : n005.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 11:50:08 AM UTC 2026
% Result : Unsatisfiable 1.45s 0.67s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG407-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n005.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 13:19:48 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.43 % Drodi V4.1.1
% 1.45/0.67 % Refutation found
% 1.45/0.67 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.45/0.67 % SZS output start CNFRefutation for theBenchmark
% 1.45/0.67 fof(f994,axiom,(
% 1.45/0.67 (![V_z]: (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) = V_z ))),
% 1.45/0.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.45/0.67 fof(f1001,axiom,(
% 1.45/0.67 (![V_z,V_w]: (c_HOL_Otimes__class_Otimes(V_z,V_w,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(V_w,V_z,tc_RealDef_Oreal) ))),
% 1.45/0.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.45/0.67 fof(f1037,axiom,(
% 1.45/0.67 (![V_z,V_x,V_y]: (( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_z,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_z,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)| ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ))),
% 1.45/0.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.45/0.67 fof(f1050,negated_conjecture,(
% 1.45/0.67 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 1.45/0.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.45/0.67 fof(f1051,negated_conjecture,(
% 1.45/0.67 c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 1.45/0.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.45/0.67 fof(f1052,negated_conjecture,(
% 1.45/0.67 ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 1.45/0.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.45/0.67 fof(f2777,plain,(
% 1.45/0.67 ![X0]: (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)=X0)),
% 1.45/0.67 inference(cnf_transformation,[status(thm)],[f994])).
% 1.45/0.67 fof(f2789,plain,(
% 1.45/0.67 ![X0,X1]: (c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal)=c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal))),
% 1.45/0.67 inference(cnf_transformation,[status(thm)],[f1001])).
% 1.45/0.67 fof(f2856,plain,(
% 1.45/0.67 ![V_z]: ((![V_x,V_y]: (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_z,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_z,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)))|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal))),
% 1.45/0.67 inference(miniscoping,[status(thm)],[f1037])).
% 1.45/0.67 fof(f2857,plain,(
% 1.45/0.67 ![X0,X1,X2]: (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal))),
% 1.45/0.67 inference(cnf_transformation,[status(thm)],[f2856])).
% 1.45/0.67 fof(f2881,plain,(
% 1.45/0.67 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 1.45/0.67 inference(cnf_transformation,[status(thm)],[f1050])).
% 1.45/0.67 fof(f2882,plain,(
% 1.45/0.67 c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 1.45/0.67 inference(cnf_transformation,[status(thm)],[f1051])).
% 1.45/0.67 fof(f2883,plain,(
% 1.45/0.67 ~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 1.45/0.67 inference(cnf_transformation,[status(thm)],[f1052])).
% 1.45/0.67 fof(f5355,plain,(
% 1.45/0.67 ~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 1.45/0.67 inference(backward_demodulation,[status(thm)],[f2789,f2883])).
% 1.45/0.67 fof(f5361,plain,(
% 1.45/0.67 c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(v_m____,c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 1.45/0.67 inference(backward_demodulation,[status(thm)],[f2789,f2882])).
% 1.45/0.67 fof(f5364,plain,(
% 1.45/0.67 ![X0]: (X0=c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 1.45/0.67 inference(paramodulation,[status(thm)],[f2777,f2789])).
% 1.45/0.67 fof(f5389,plain,(
% 1.45/0.67 ~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(v_m____,c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 1.45/0.67 inference(forward_demodulation,[status(thm)],[f2789,f5355])).
% 1.45/0.67 fof(f5390,plain,(
% 1.45/0.67 ~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(v_m____,c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 1.45/0.67 inference(forward_demodulation,[status(thm)],[f2777,f5389])).
% 1.45/0.67 fof(f6050,plain,(
% 1.45/0.67 ![X0]: (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(v_m____,c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal))),
% 1.45/0.67 inference(resolution,[status(thm)],[f2857,f5361])).
% 1.45/0.67 fof(f6384,plain,(
% 1.45/0.67 ![X0]: (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(v_m____,c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X0,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal))),
% 1.45/0.68 inference(forward_demodulation,[status(thm)],[f5364,f6050])).
% 1.45/0.68 fof(f6388,plain,(
% 1.45/0.68 c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(v_m____,c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 1.45/0.68 inference(resolution,[status(thm)],[f6384,f2881])).
% 1.45/0.68 fof(f6390,plain,(
% 1.45/0.68 $false),
% 1.45/0.68 inference(forward_subsumption_resolution,[status(thm)],[f6388,f5390])).
% 1.45/0.68 % SZS output end CNFRefutation for theBenchmark.p
% 1.45/0.69 % Elapsed time: 0.334591 seconds
% 1.45/0.69 % CPU time: 1.825286 seconds
% 1.45/0.69 % Total memory used: 187.261 MB
% 1.45/0.69 % Net memory used: 185.319 MB
%------------------------------------------------------------------------------