TSTP Solution File: ALG367-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG367-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:11:26 EDT 2024
% Result : Unsatisfiable 3.77s 0.90s
% Output : CNFRefutation 4.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG367-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 23:02:48 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.40 % Drodi V3.6.0
% 3.77/0.90 % Refutation found
% 3.77/0.90 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.77/0.90 % SZS output start CNFRefutation for theBenchmark
% 3.77/0.90 fof(f698,axiom,(
% 3.77/0.90 (![V_a,V_p,V_q]: (c_Polynomial_Opoly(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__offset__1(V_a,V_p),V_q,tc_Complex_Ocomplex) = c_Polynomial_Opoly(V_p,c_HOL_Oplus__class_Oplus(V_a,V_q,tc_Complex_Ocomplex),tc_Complex_Ocomplex) ))),
% 3.77/0.90 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.77/0.90 fof(f747,axiom,(
% 3.77/0.90 (![T_a,V_p,V_h,V_x]: (( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)| c_Polynomial_Opoly(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(V_p,V_h,T_a),V_x,T_a) = c_Polynomial_Opoly(V_p,c_HOL_Oplus__class_Oplus(V_h,V_x,T_a),T_a) ) ))),
% 3.77/0.90 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.77/0.90 fof(f748,axiom,(
% 3.77/0.90 (![T_a,V_p,V_h]: (( ~ class_Ring__and__Field_Ocomm__semiring__0(T_a)| c_Polynomial_Odegree(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(V_p,V_h,T_a),T_a) = c_Polynomial_Odegree(V_p,T_a) ) ))),
% 3.77/0.90 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.77/0.90 fof(f786,negated_conjecture,(
% 3.77/0.90 ~ v_thesis____ ),
% 3.77/0.90 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.77/0.90 fof(f787,negated_conjecture,(
% 3.77/0.90 (![V_qa]: (( c_Polynomial_Opoly(V_qa,v_q(V_qa),tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_p,c_HOL_Oplus__class_Oplus(v_z,v_q(V_qa),tc_Complex_Ocomplex),tc_Complex_Ocomplex)| c_Polynomial_Odegree(V_qa,tc_Complex_Ocomplex) != c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex)| v_thesis____ ) ))),
% 3.77/0.90 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.77/0.90 fof(f895,axiom,(
% 3.77/0.90 class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex) ),
% 3.77/0.90 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.77/0.90 fof(f2148,plain,(
% 3.77/0.90 ![X0,X1,X2]: (c_Polynomial_Opoly(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__offset__1(X0,X1),X2,tc_Complex_Ocomplex)=c_Polynomial_Opoly(X1,c_HOL_Oplus__class_Oplus(X0,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex))),
% 3.77/0.90 inference(cnf_transformation,[status(esa)],[f698])).
% 3.77/0.90 fof(f2242,plain,(
% 3.77/0.90 ![T_a]: (~class_Ring__and__Field_Ocomm__semiring__0(T_a)|(![V_p,V_h,V_x]: c_Polynomial_Opoly(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(V_p,V_h,T_a),V_x,T_a)=c_Polynomial_Opoly(V_p,c_HOL_Oplus__class_Oplus(V_h,V_x,T_a),T_a)))),
% 3.77/0.90 inference(miniscoping,[status(esa)],[f747])).
% 3.77/0.90 fof(f2243,plain,(
% 3.77/0.90 ![X0,X1,X2,X3]: (~class_Ring__and__Field_Ocomm__semiring__0(X0)|c_Polynomial_Opoly(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X2,X0),X3,X0)=c_Polynomial_Opoly(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0))),
% 3.77/0.90 inference(cnf_transformation,[status(esa)],[f2242])).
% 3.77/0.90 fof(f2244,plain,(
% 3.77/0.90 ![T_a]: (~class_Ring__and__Field_Ocomm__semiring__0(T_a)|(![V_p,V_h]: c_Polynomial_Odegree(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(V_p,V_h,T_a),T_a)=c_Polynomial_Odegree(V_p,T_a)))),
% 3.77/0.90 inference(miniscoping,[status(esa)],[f748])).
% 3.77/0.90 fof(f2245,plain,(
% 3.77/0.90 ![X0,X1,X2]: (~class_Ring__and__Field_Ocomm__semiring__0(X0)|c_Polynomial_Odegree(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X2,X0),X0)=c_Polynomial_Odegree(X1,X0))),
% 3.77/0.90 inference(cnf_transformation,[status(esa)],[f2244])).
% 3.77/0.90 fof(f2319,plain,(
% 3.77/0.90 ~v_thesis____),
% 3.77/0.90 inference(cnf_transformation,[status(esa)],[f786])).
% 3.77/0.90 fof(f2320,plain,(
% 3.77/0.90 (![V_qa]: (~c_Polynomial_Opoly(V_qa,v_q(V_qa),tc_Complex_Ocomplex)=c_Polynomial_Opoly(v_p,c_HOL_Oplus__class_Oplus(v_z,v_q(V_qa),tc_Complex_Ocomplex),tc_Complex_Ocomplex)|~c_Polynomial_Odegree(V_qa,tc_Complex_Ocomplex)=c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex)))|v_thesis____),
% 3.77/0.90 inference(miniscoping,[status(esa)],[f787])).
% 3.77/0.90 fof(f2321,plain,(
% 3.77/0.90 ![X0]: (~c_Polynomial_Opoly(X0,v_q(X0),tc_Complex_Ocomplex)=c_Polynomial_Opoly(v_p,c_HOL_Oplus__class_Oplus(v_z,v_q(X0),tc_Complex_Ocomplex),tc_Complex_Ocomplex)|~c_Polynomial_Odegree(X0,tc_Complex_Ocomplex)=c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex)|v_thesis____)),
% 3.77/0.90 inference(cnf_transformation,[status(esa)],[f2320])).
% 3.77/0.90 fof(f2429,plain,(
% 3.77/0.90 class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex)),
% 3.77/0.90 inference(cnf_transformation,[status(esa)],[f895])).
% 3.77/0.90 fof(f2503,plain,(
% 4.12/0.93 spl0_1 <=> v_thesis____),
% 4.12/0.93 introduced(split_symbol_definition)).
% 4.12/0.93 fof(f2504,plain,(
% 4.12/0.93 v_thesis____|~spl0_1),
% 4.12/0.93 inference(component_clause,[status(thm)],[f2503])).
% 4.12/0.93 fof(f2507,plain,(
% 4.12/0.93 spl0_2 <=> ~c_Polynomial_Opoly(X0,v_q(X0),tc_Complex_Ocomplex)=c_Polynomial_Opoly(v_p,c_HOL_Oplus__class_Oplus(v_z,v_q(X0),tc_Complex_Ocomplex),tc_Complex_Ocomplex)|~c_Polynomial_Odegree(X0,tc_Complex_Ocomplex)=c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex)),
% 4.12/0.93 introduced(split_symbol_definition)).
% 4.12/0.93 fof(f2508,plain,(
% 4.12/0.93 ![X0]: (~c_Polynomial_Opoly(X0,v_q(X0),tc_Complex_Ocomplex)=c_Polynomial_Opoly(v_p,c_HOL_Oplus__class_Oplus(v_z,v_q(X0),tc_Complex_Ocomplex),tc_Complex_Ocomplex)|~c_Polynomial_Odegree(X0,tc_Complex_Ocomplex)=c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex)|~spl0_2)),
% 4.12/0.93 inference(component_clause,[status(thm)],[f2507])).
% 4.12/0.93 fof(f2510,plain,(
% 4.12/0.93 spl0_2|spl0_1),
% 4.12/0.93 inference(split_clause,[status(thm)],[f2321,f2507,f2503])).
% 4.12/0.93 fof(f2512,plain,(
% 4.12/0.93 $false|~spl0_1),
% 4.12/0.93 inference(forward_subsumption_resolution,[status(thm)],[f2504,f2319])).
% 4.12/0.93 fof(f2513,plain,(
% 4.12/0.93 ~spl0_1),
% 4.12/0.93 inference(contradiction_clause,[status(thm)],[f2512])).
% 4.12/0.93 fof(f2515,plain,(
% 4.12/0.93 ![X0]: (~c_Polynomial_Opoly(X0,v_q(X0),tc_Complex_Ocomplex)=c_Polynomial_Opoly(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__offset__1(v_z,v_p),v_q(X0),tc_Complex_Ocomplex)|~c_Polynomial_Odegree(X0,tc_Complex_Ocomplex)=c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex)|~spl0_2)),
% 4.12/0.93 inference(forward_demodulation,[status(thm)],[f2148,f2508])).
% 4.12/0.93 fof(f2819,plain,(
% 4.12/0.93 ![X0,X1]: (c_Polynomial_Odegree(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)=c_Polynomial_Odegree(X0,tc_Complex_Ocomplex))),
% 4.12/0.93 inference(resolution,[status(thm)],[f2245,f2429])).
% 4.12/0.93 fof(f2890,plain,(
% 4.12/0.93 ![X0]: (~c_Polynomial_Opoly(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_p,X0,tc_Complex_Ocomplex),v_q(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_p,X0,tc_Complex_Ocomplex)),tc_Complex_Ocomplex)=c_Polynomial_Opoly(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__offset__1(v_z,v_p),v_q(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_p,X0,tc_Complex_Ocomplex)),tc_Complex_Ocomplex)|~spl0_2)),
% 4.12/0.93 inference(resolution,[status(thm)],[f2819,f2515])).
% 4.12/0.93 fof(f2941,plain,(
% 4.12/0.93 ![X0,X1,X2]: (c_Polynomial_Opoly(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)=c_Polynomial_Opoly(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex))),
% 4.12/0.93 inference(resolution,[status(thm)],[f2243,f2429])).
% 4.12/0.93 fof(f2942,plain,(
% 4.12/0.93 ![X0,X1,X2]: (c_Polynomial_Opoly(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex)=c_Polynomial_Opoly(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__offset__1(X1,X0),X2,tc_Complex_Ocomplex))),
% 4.12/0.93 inference(forward_demodulation,[status(thm)],[f2148,f2941])).
% 4.12/0.93 fof(f2944,plain,(
% 4.12/0.93 ![X0]: (~c_Polynomial_Opoly(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__offset__1(X0,v_p),v_q(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_p,X0,tc_Complex_Ocomplex)),tc_Complex_Ocomplex)=c_Polynomial_Opoly(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__offset__1(v_z,v_p),v_q(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_p,X0,tc_Complex_Ocomplex)),tc_Complex_Ocomplex)|~spl0_2)),
% 4.12/0.93 inference(backward_demodulation,[status(thm)],[f2942,f2890])).
% 4.12/0.93 fof(f2982,plain,(
% 4.12/0.93 $false|~spl0_2),
% 4.12/0.93 inference(equality_resolution,[status(esa)],[f2944])).
% 4.12/0.93 fof(f2983,plain,(
% 4.12/0.93 ~spl0_2),
% 4.12/0.93 inference(contradiction_clause,[status(thm)],[f2982])).
% 4.12/0.93 fof(f2984,plain,(
% 4.12/0.93 $false),
% 4.12/0.93 inference(sat_refutation,[status(thm)],[f2510,f2513,f2983])).
% 4.12/0.93 % SZS output end CNFRefutation for theBenchmark.p
% 4.12/0.94 % Elapsed time: 0.587418 seconds
% 4.12/0.94 % CPU time: 4.158267 seconds
% 4.12/0.94 % Total memory used: 222.399 MB
% 4.12/0.94 % Net memory used: 221.175 MB
%------------------------------------------------------------------------------