%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ALG379-1 : 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 : n012.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 204.46s 31.27s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ALG379-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/5.31 % Computer : n012.cluster.edu
% 0.04/5.31 % Model : x86_64 x86_64
% 0.04/5.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/5.31 % Memory : 8046.5625MB
% 0.04/5.31 % OS : Linux 6.8.0-71-generic
% 0.04/5.31 % CPULimit : 300
% 0.04/5.31 % WCLimit : 300
% 0.04/5.31 % DateTime : Mon Sep 21 13:18:23 UTC 2026
% 0.04/5.31 % CPUTime :
% 0.04/5.35 % Drodi V4.1.1
% 204.46/31.27 % Refutation found
% 204.46/31.27 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 204.46/31.27 % SZS output start CNFRefutation for theBenchmark
% 204.46/31.27 fof(f283,axiom,(
% 204.46/31.27 (![T_a,V_a]: (( ~ class_OrderedGroup_Ogroup__add(T_a)| c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ))),
% 204.46/31.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 204.46/31.27 fof(f460,axiom,(
% 204.46/31.27 (![T_a,V_a,V_b]: (( ~ class_OrderedGroup_Ogroup__add(T_a)| c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_b,T_a) = V_a ) ))),
% 204.46/31.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 204.46/31.27 fof(f520,axiom,(
% 204.46/31.27 (![T_a,V_a,V_c]: (( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a)| c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) = c_HOL_Oplus__class_Oplus(V_c,V_a,T_a) ) ))),
% 204.46/31.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 204.46/31.27 fof(f713,axiom,(
% 204.46/31.27 (![T_a,V_a,V_b]: (( ~ class_OrderedGroup_Ogroup__add(T_a)| c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_b,T_a) = V_a ) ))),
% 204.46/31.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 204.46/31.27 fof(f759,axiom,(
% 204.46/31.27 (![T_a,V_a]: (( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a)| c_HOL_Oabs__class_Oabs(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a)| V_a = c_HOL_Ozero__class_Ozero(T_a) ) ))),
% 204.46/31.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 204.46/31.27 fof(f910,axiom,(
% 204.46/31.27 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_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 204.46/31.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 204.46/31.27 fof(f911,negated_conjecture,(
% 204.46/31.27 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) ),
% 204.46/31.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 204.46/31.27 fof(f954,axiom,(
% 204.46/31.27 class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 204.46/31.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 204.46/31.27 fof(f972,axiom,(
% 204.46/31.27 class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ),
% 204.46/31.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 204.46/31.27 fof(f1000,axiom,(
% 204.46/31.27 class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ),
% 204.46/31.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 204.46/31.27 fof(f1547,plain,(
% 204.46/31.27 ![T_a]: (~class_OrderedGroup_Ogroup__add(T_a)|(![V_a]: c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)=V_a))),
% 204.46/31.27 inference(miniscoping,[status(thm)],[f283])).
% 204.46/31.27 fof(f1548,plain,(
% 204.46/31.27 ![X0,X1]: (~class_OrderedGroup_Ogroup__add(X0)|c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X0),X0)=X1)),
% 204.46/31.27 inference(cnf_transformation,[status(thm)],[f1547])).
% 204.46/31.27 fof(f1811,plain,(
% 204.46/31.27 ![T_a]: (~class_OrderedGroup_Ogroup__add(T_a)|(![V_a,V_b]: c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_b,T_a)=V_a))),
% 204.46/31.27 inference(miniscoping,[status(thm)],[f460])).
% 204.46/31.27 fof(f1812,plain,(
% 204.46/31.27 ![X0,X1,X2]: (~class_OrderedGroup_Ogroup__add(X0)|c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X2,X0)=X1)),
% 204.46/31.27 inference(cnf_transformation,[status(thm)],[f1811])).
% 204.46/31.27 fof(f1904,plain,(
% 204.46/31.27 ![T_a]: (~class_Ring__and__Field_Ocomm__semiring__1(T_a)|(![V_a,V_c]: c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)=c_HOL_Oplus__class_Oplus(V_c,V_a,T_a)))),
% 204.46/31.27 inference(miniscoping,[status(thm)],[f520])).
% 204.46/31.27 fof(f1905,plain,(
% 204.46/31.27 ![X0,X1,X2]: (~class_Ring__and__Field_Ocomm__semiring__1(X0)|c_HOL_Oplus__class_Oplus(X1,X2,X0)=c_HOL_Oplus__class_Oplus(X2,X1,X0))),
% 204.46/31.27 inference(cnf_transformation,[status(thm)],[f1904])).
% 204.46/31.27 fof(f2210,plain,(
% 204.46/31.27 ![T_a]: (~class_OrderedGroup_Ogroup__add(T_a)|(![V_a,V_b]: c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_b,T_a)=V_a))),
% 204.46/31.27 inference(miniscoping,[status(thm)],[f713])).
% 204.46/31.27 fof(f2211,plain,(
% 204.46/31.27 ![X0,X1,X2]: (~class_OrderedGroup_Ogroup__add(X0)|c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0)=X1)),
% 204.46/31.27 inference(cnf_transformation,[status(thm)],[f2210])).
% 204.46/31.27 fof(f2280,plain,(
% 204.46/31.27 ![X0,X1]: (~class_OrderedGroup_Opordered__ab__group__add__abs(X0)|~c_HOL_Oabs__class_Oabs(X1,X0)=c_HOL_Ozero__class_Ozero(X0)|X1=c_HOL_Ozero__class_Ozero(X0))),
% 77.48/31.37 inference(cnf_transformation,[status(thm)],[f759])).
% 77.48/31.37 fof(f2516,plain,(
% 77.48/31.37 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_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 77.48/31.37 inference(cnf_transformation,[status(thm)],[f910])).
% 77.48/31.37 fof(f2517,plain,(
% 77.48/31.37 ~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)),
% 77.48/31.37 inference(cnf_transformation,[status(thm)],[f911])).
% 77.48/31.37 fof(f2560,plain,(
% 77.48/31.37 class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal)),
% 77.48/31.37 inference(cnf_transformation,[status(thm)],[f954])).
% 77.48/31.37 fof(f2578,plain,(
% 77.48/31.37 class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal)),
% 77.48/31.37 inference(cnf_transformation,[status(thm)],[f972])).
% 77.48/31.37 fof(f2606,plain,(
% 77.48/31.37 class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal)),
% 77.48/31.37 inference(cnf_transformation,[status(thm)],[f1000])).
% 77.48/31.37 fof(f28011,plain,(
% 77.48/31.37 ![X0]: (c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)=X0)),
% 77.48/31.37 inference(resolution,[status(thm)],[f1548,f2606])).
% 77.48/31.37 fof(f44574,plain,(
% 77.48/31.37 ![X0,X1]: (c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,X1,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)=X0)),
% 77.48/31.37 inference(resolution,[status(thm)],[f1812,f2606])).
% 77.48/31.37 fof(f47337,plain,(
% 77.48/31.37 ![X0,X1]: (c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal)=c_HOL_Oplus__class_Oplus(X1,X0,tc_RealDef_Oreal))),
% 77.48/31.37 inference(resolution,[status(thm)],[f1905,f2578])).
% 77.48/31.37 fof(f47393,plain,(
% 77.48/31.37 ![X0,X1]: (X0=c_HOL_Oplus__class_Oplus(X1,c_HOL_Ominus__class_Ominus(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 77.48/31.37 inference(paramodulation,[status(thm)],[f44574,f47337])).
% 77.48/31.37 fof(f50828,plain,(
% 77.48/31.37 ![X0,X1]: (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)=X0)),
% 77.48/31.37 inference(resolution,[status(thm)],[f2211,f2606])).
% 77.48/31.37 fof(f50870,plain,(
% 77.48/31.37 ![X0,X1]: (c_HOL_Ominus__class_Ominus(X0,c_HOL_Ominus__class_Ominus(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)=X1)),
% 77.48/31.37 inference(paramodulation,[status(thm)],[f47393,f50828])).
% 77.48/31.37 fof(f66062,plain,(
% 77.48/31.37 ~class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal)|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)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 77.48/31.37 inference(resolution,[status(thm)],[f2280,f2516])).
% 77.48/31.37 fof(f66075,plain,(
% 77.48/31.37 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)=c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
% 77.48/31.37 inference(forward_subsumption_resolution,[status(thm)],[f66062,f2560])).
% 77.48/31.37 fof(f69738,plain,(
% 77.48/31.37 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_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal)),
% 77.48/31.37 inference(paramodulation,[status(thm)],[f66075,f50870])).
% 77.48/31.37 fof(f69749,plain,(
% 77.48/31.37 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)),
% 77.48/31.37 inference(forward_demodulation,[status(thm)],[f28011,f69738])).
% 77.48/31.37 fof(f69750,plain,(
% 77.48/31.37 $false),
% 77.48/31.37 inference(forward_subsumption_resolution,[status(thm)],[f69749,f2517])).
% 77.48/31.37 % SZS output end CNFRefutation for theBenchmark.p
% 77.48/31.39 % Elapsed time: 26.063567 seconds
% 77.48/31.39 % CPU time: 206.543293 seconds
% 77.48/31.39 % Total memory used: 901.545 MB
% 77.48/31.39 % Net memory used: 823.353 MB
%------------------------------------------------------------------------------