%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ALG376-1 : 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 11:50:06 AM UTC 2026
% Result : Unsatisfiable 111.61s 14.73s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : ALG376-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n013.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Mon Sep 21 13:17:37 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.27/0.56 % Drodi V4.1.1
% 111.61/14.73 % Refutation found
% 111.61/14.73 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 111.61/14.73 % SZS output start CNFRefutation for theBenchmark
% 111.61/14.73 fof(f751,axiom,(
% 111.61/14.73 (![V_r,V_s]: (c_HOL_Ominus__class_Ominus(V_r,V_s,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(V_r,c_HOL_Ouminus__class_Ouminus(V_s,tc_RealDef_Oreal),tc_RealDef_Oreal) ))),
% 111.61/14.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 111.61/14.73 fof(f822,axiom,(
% 111.61/14.73 (![V_n,V_m]: (c_lessequals(V_n,c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),tc_nat) ))),
% 111.61/14.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 111.61/14.73 fof(f940,axiom,(
% 111.61/14.73 (![V_n]: (( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_g____(v_f____(V_n)),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_d____,tc_RealDef_Oreal)| ~ c_lessequals(v_N1____,V_n,tc_nat) ) ))),
% 111.61/14.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 111.61/14.73 fof(f944,axiom,(
% 111.61/14.73 (![V_wa]: (( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,V_wa,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_wa,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_d____,tc_RealDef_Oreal) ) ))),
% 111.61/14.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 111.61/14.73 fof(f1055,axiom,(
% 111.61/14.73 (![T_a,V_b]: (( ~ class_OrderedGroup_Ogroup__add(T_a)| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = V_b ) ))),
% 111.61/14.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 111.61/14.73 fof(f1067,negated_conjecture,(
% 111.61/14.73 ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_g____(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 111.61/14.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 111.61/14.73 fof(f1197,axiom,(
% 111.61/14.73 class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ),
% 111.61/14.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 111.61/14.73 fof(f2392,plain,(
% 111.61/14.73 ![X0,X1]: (c_HOL_Ominus__class_Ominus(X0,X1,tc_RealDef_Oreal)=c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 111.61/14.73 inference(cnf_transformation,[status(thm)],[f751])).
% 111.61/14.73 fof(f2495,plain,(
% 111.61/14.73 ![X0,X1]: (c_lessequals(X0,c_HOL_Oplus__class_Oplus(X0,X1,tc_nat),tc_nat))),
% 111.61/14.73 inference(cnf_transformation,[status(thm)],[f822])).
% 111.61/14.73 fof(f2664,plain,(
% 111.61/14.73 ![X0]: (c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_g____(v_f____(X0)),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_d____,tc_RealDef_Oreal)|~c_lessequals(v_N1____,X0,tc_nat))),
% 111.61/14.73 inference(cnf_transformation,[status(thm)],[f940])).
% 111.61/14.73 fof(f2668,plain,(
% 111.61/14.73 ![X0]: (c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,X0,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X0,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_d____,tc_RealDef_Oreal))),
% 111.61/14.73 inference(cnf_transformation,[status(thm)],[f944])).
% 111.61/14.73 fof(f2858,plain,(
% 111.61/14.73 ![T_a]: (~class_OrderedGroup_Ogroup__add(T_a)|(![V_b]: c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)=V_b))),
% 111.61/14.73 inference(miniscoping,[status(thm)],[f1055])).
% 111.61/14.73 fof(f2859,plain,(
% 111.61/14.73 ![X0,X1]: (~class_OrderedGroup_Ogroup__add(X0)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0)=X1)),
% 111.61/14.73 inference(cnf_transformation,[status(thm)],[f2858])).
% 111.61/14.73 fof(f2876,plain,(
% 111.61/14.73 ~c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_g____(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 111.61/14.73 inference(cnf_transformation,[status(thm)],[f1067])).
% 111.61/14.73 fof(f3006,plain,(
% 111.61/14.73 class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal)),
% 111.61/14.73 inference(cnf_transformation,[status(thm)],[f1197])).
% 111.61/14.73 fof(f21608,plain,(
% 111.61/14.73 ![X0]: (c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),tc_RealDef_Oreal)=X0)),
% 111.61/14.73 inference(resolution,[status(thm)],[f2859,f3006])).
% 111.61/14.73 fof(f21668,plain,(
% 111.61/14.73 ![X0,X1]: (c_HOL_Ominus__class_Ominus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal))),
% 111.61/14.73 inference(paramodulation,[status(thm)],[f21608,f2392])).
% 111.61/14.73 fof(f22735,plain,(
% 111.61/14.73 ~c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_g____(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 111.61/14.73 inference(backward_demodulation,[status(thm)],[f21668,f2876])).
% 111.61/14.73 fof(f35681,plain,(
% 111.61/14.73 ![X0]: (c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,X0,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X0,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_d____,tc_RealDef_Oreal))),
% 111.61/14.73 inference(forward_demodulation,[status(thm)],[f21668,f2668])).
% 111.61/14.73 fof(f35682,plain,(
% 111.61/14.73 ![X0]: (c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_g____(v_f____(X0)),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_lessequals(v_N1____,X0,tc_nat))),
% 57.85/14.84 inference(resolution,[status(thm)],[f35681,f2664])).
% 57.85/14.84 fof(f36334,plain,(
% 57.85/14.84 ~c_lessequals(v_N1____,c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat),tc_nat)),
% 57.85/14.84 inference(resolution,[status(thm)],[f35682,f22735])).
% 57.85/14.84 fof(f36347,plain,(
% 57.85/14.84 $false),
% 57.85/14.84 inference(forward_subsumption_resolution,[status(thm)],[f36334,f2495])).
% 57.85/14.84 % SZS output end CNFRefutation for theBenchmark.p
% 57.85/14.90 % Elapsed time: 14.423856 seconds
% 57.85/14.90 % CPU time: 112.561463 seconds
% 57.85/14.90 % Total memory used: 770.945 MB
% 57.85/14.90 % Net memory used: 743.769 MB
%------------------------------------------------------------------------------