%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWW287+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.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 : Sun Sep 27 09:11:38 AM UTC 2026
% Result : Theorem 82.09s 12.40s
% Output : CNFRefutation 82.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW287+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37 % Computer : n010.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sat Sep 26 15:36:15 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 82.09/12.40 % SZS status Theorem for theBenchmark.p
% 82.09/12.40 % SZS output start CNFRefutation for theBenchmark.p
% 82.09/12.40 fof(fact_pe, axiom, 'v$up' != 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex'))).
% 82.09/12.40 fof(fact_n, axiom, 'c$uPolynomial$uOdegree'('tc$uComplex$uOcomplex','v$up') = 'c$uNat$uOSuc'('v$un')).
% 82.09/12.40 fof(fact__096_B_Bx_O_A_091_124_Ap_Advd_Aq_A_094_ASuc_An_059_Apoly_Ap_Ax_A_061_A0_059_Apoly_Aq_Ax_A_126_061_A0_A_124_093_A_061_061_062_AFalse_096, axiom, ! [X0] : ((hBOOL(hAPP(hAPP('c$uRings$uOdvd$u$uclass$uOdvd'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'v$up'),hAPP(hAPP('c$uPower$uOpower$u$uclass$uOpower'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'v$uq'),'c$uNat$uOSuc'('v$un')))) => (hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),X0) = 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') => hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$uq'),X0) = 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex'))))).
% 82.09/12.40 fof(fact__096_091_124_AALL_Ax_O_Apoly_Ap_Ax_A_061_A0_A_N_N_062_Apoly_Aq_Ax_A_061_A0_059_Adegree_Ap_A_061_Adegree_Ap_059_Adegree_Ap_A_126_061_A0_A_124_093_061_061_062_Ap_Advd_Aq_A_094_Adegree_Ap_096, axiom, (! [X0] : ((hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),X0) = 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') => hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$uq'),X0) = 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex'))) => ('c$uPolynomial$uOdegree'('tc$uComplex$uOcomplex','v$up') != 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uNat$uOnat') => hBOOL(hAPP(hAPP('c$uRings$uOdvd$u$uclass$uOdvd'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'v$up'),hAPP(hAPP('c$uPower$uOpower$u$uclass$uOpower'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'v$uq'),'c$uPolynomial$uOdegree'('tc$uComplex$uOcomplex','v$up'))))))).
% 82.09/12.40 fof(fact__096_B_Bthesis_O_A_I_B_Bn_O_Adegree_Ap_A_061_ASuc_An_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096, axiom, ~! [X0] : 'c$uPolynomial$uOdegree'('tc$uComplex$uOcomplex','v$up') != 'c$uNat$uOSuc'(X0)).
% 82.09/12.40 fof(fact_Zero__not__Suc, axiom, ! [X0] : 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uNat$uOnat') != 'c$uNat$uOSuc'(X0)).
% 82.09/12.40 fof(conj_0, conjecture, (! [X0] : ((hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),X0) = 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') => hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$uq'),X0) = 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex'))) <=> (hBOOL(hAPP(hAPP('c$uRings$uOdvd$u$uclass$uOdvd'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'v$up'),hAPP(hAPP('c$uPower$uOpower$u$uclass$uOpower'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'v$uq'),'c$uPolynomial$uOdegree'('tc$uComplex$uOcomplex','v$up')))) | ('v$up' = 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')) & 'v$uq' = 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')))))).
% 82.09/12.40 fof(negated_conjecture, negated_conjecture, ~((! [X0] : ((hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),X0) = 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') => hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$uq'),X0) = 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex'))) <=> (hBOOL(hAPP(hAPP('c$uRings$uOdvd$u$uclass$uOdvd'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'v$up'),hAPP(hAPP('c$uPower$uOpower$u$uclass$uOpower'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'v$uq'),'c$uPolynomial$uOdegree'('tc$uComplex$uOcomplex','v$up')))) | ('v$up' = 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')) & 'v$uq' = 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')))))), inference(negate_conjecture, [status(cth)], [conj_0])).
% 82.09/12.40 cnf(c1, plain, 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')) != 'v$up', inference(clausification, [status(esa)], [fact_pe])).
% 82.09/12.40 cnf(c3, plain, 'c$uNat$uOSuc'('v$un') = 'c$uPolynomial$uOdegree'('tc$uComplex$uOcomplex','v$up'), inference(clausification, [status(esa)], [fact_n])).
% 82.09/12.40 cnf(c11, plain, ~hBOOL(hAPP(hAPP('c$uRings$uOdvd$u$uclass$uOdvd'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'v$up'),hAPP(hAPP('c$uPower$uOpower$u$uclass$uOpower'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'v$uq'),'c$uNat$uOSuc'('v$un')))) | 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') = hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$uq'),X0) | 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') != hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),X0), inference(clausification, [status(esa)], [fact__096_B_Bx_O_A_091_124_Ap_Advd_Aq_A_094_ASuc_An_059_Apoly_Ap_Ax_A_061_A0_059_Apoly_Aq_Ax_A_126_061_A0_A_124_093_A_061_061_062_AFalse_096])).
% 82.09/12.40 cnf(c12, plain, 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') = hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),sK7) | hBOOL(hAPP(hAPP('c$uRings$uOdvd$u$uclass$uOdvd'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'v$up'),hAPP(hAPP('c$uPower$uOpower$u$uclass$uOpower'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'v$uq'),'c$uPolynomial$uOdegree'('tc$uComplex$uOcomplex','v$up')))) | 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uNat$uOnat') = 'c$uPolynomial$uOdegree'('tc$uComplex$uOcomplex','v$up'), inference(clausification, [status(esa)], [fact__096_091_124_AALL_Ax_O_Apoly_Ap_Ax_A_061_A0_A_N_N_062_Apoly_Aq_Ax_A_061_A0_059_Adegree_Ap_A_061_Adegree_Ap_059_Adegree_Ap_A_126_061_A0_A_124_093_061_061_062_Ap_Advd_Aq_A_094_Adegree_Ap_096])).
% 82.09/12.40 cnf(c13, plain, 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') != hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$uq'),sK7) | hBOOL(hAPP(hAPP('c$uRings$uOdvd$u$uclass$uOdvd'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'v$up'),hAPP(hAPP('c$uPower$uOpower$u$uclass$uOpower'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'v$uq'),'c$uPolynomial$uOdegree'('tc$uComplex$uOcomplex','v$up')))) | 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uNat$uOnat') = 'c$uPolynomial$uOdegree'('tc$uComplex$uOcomplex','v$up'), inference(clausification, [status(esa)], [fact__096_091_124_AALL_Ax_O_Apoly_Ap_Ax_A_061_A0_A_N_N_062_Apoly_Aq_Ax_A_061_A0_059_Adegree_Ap_A_061_Adegree_Ap_059_Adegree_Ap_A_126_061_A0_A_124_093_061_061_062_Ap_Advd_Aq_A_094_Adegree_Ap_096])).
% 82.09/12.40 cnf(c39, plain, 'c$uNat$uOSuc'(sK44) = 'c$uPolynomial$uOdegree'('tc$uComplex$uOcomplex','v$up'), inference(clausification, [status(esa)], [fact__096_B_Bthesis_O_A_I_B_Bn_O_Adegree_Ap_A_061_ASuc_An_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096])).
% 82.09/12.40 cnf(c41, plain, 'c$uNat$uOSuc'(X0) != 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uNat$uOnat'), inference(clausification, [status(esa)], [fact_Zero__not__Suc])).
% 82.09/12.40 cnf(c1320, plain, 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') != hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),X0) | 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') = hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$uq'),X0) | X1, inference(clausification, [status(esa)], [negated_conjecture])).
% 82.09/12.40 cnf(c1322, plain, ~hBOOL(hAPP(hAPP('c$uRings$uOdvd$u$uclass$uOdvd'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'v$up'),hAPP(hAPP('c$uPower$uOpower$u$uclass$uOpower'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'v$uq'),'c$uPolynomial$uOdegree'('tc$uComplex$uOcomplex','v$up')))) | X0, inference(clausification, [status(esa)], [negated_conjecture])).
% 82.09/12.40 cnf(c1323, plain, ~X0 | 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') = hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),sK2494), inference(clausification, [status(esa)], [negated_conjecture])).
% 82.09/12.40 cnf(c1324, plain, ~X0 | 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') != hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$uq'),sK2494), inference(clausification, [status(esa)], [negated_conjecture])).
% 82.09/12.40 cnf(c1325, plain, ~X0 | hBOOL(hAPP(hAPP('c$uRings$uOdvd$u$uclass$uOdvd'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'v$up'),hAPP(hAPP('c$uPower$uOpower$u$uclass$uOpower'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'v$uq'),'c$uPolynomial$uOdegree'('tc$uComplex$uOcomplex','v$up')))) | 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')) = 'v$up', inference(clausification, [status(esa)], [negated_conjecture])).
% 82.09/12.40 cnf(d0, plain, ~hBOOL(hAPP(hAPP('c$uRings$uOdvd$u$uclass$uOdvd'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'v$up'),hAPP(hAPP('c$uPower$uOpower$u$uclass$uOpower'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'v$uq'),'c$uNat$uOSuc'('v$un')))) | 'Ts2492', inference(demodulation, [status(thm)], [c1322,c3])).
% 82.09/12.40 cnf(d1, plain, 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') != hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$uq'),sK7) | 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uNat$uOnat') = 'c$uNat$uOSuc'('v$un') | hBOOL(hAPP(hAPP('c$uRings$uOdvd$u$uclass$uOdvd'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'v$up'),hAPP(hAPP('c$uPower$uOpower$u$uclass$uOpower'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'v$uq'),'c$uPolynomial$uOdegree'('tc$uComplex$uOcomplex','v$up')))), inference(demodulation, [status(thm)], [c13,c3])).
% 82.09/12.40 cnf(d2, plain, 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') != hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$uq'),sK7) | 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uNat$uOnat') = 'c$uNat$uOSuc'('v$un') | hBOOL(hAPP(hAPP('c$uRings$uOdvd$u$uclass$uOdvd'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'v$up'),hAPP(hAPP('c$uPower$uOpower$u$uclass$uOpower'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'v$uq'),'c$uNat$uOSuc'('v$un')))), inference(demodulation, [status(thm)], [d1,c3])).
% 82.09/12.40 cnf(d3, plain, 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') = hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),sK7) | 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uNat$uOnat') = 'c$uNat$uOSuc'('v$un') | hBOOL(hAPP(hAPP('c$uRings$uOdvd$u$uclass$uOdvd'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'v$up'),hAPP(hAPP('c$uPower$uOpower$u$uclass$uOpower'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'v$uq'),'c$uPolynomial$uOdegree'('tc$uComplex$uOcomplex','v$up')))), inference(demodulation, [status(thm)], [c12,c3])).
% 82.09/12.40 cnf(d4, plain, 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') = hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),sK7) | 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uNat$uOnat') = 'c$uNat$uOSuc'('v$un') | hBOOL(hAPP(hAPP('c$uRings$uOdvd$u$uclass$uOdvd'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'v$up'),hAPP(hAPP('c$uPower$uOpower$u$uclass$uOpower'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'v$uq'),'c$uNat$uOSuc'('v$un')))), inference(demodulation, [status(thm)], [d3,c3])).
% 82.09/12.40 cnf(d5, plain, 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') = hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),sK7) | 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uNat$uOnat') = 'c$uNat$uOSuc'('v$un') | 'Ts2492', inference(resolution, [status(thm)], [d4,d0])).
% 82.09/12.40 cnf(d6, plain, 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') = hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),sK7) | 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uNat$uOnat') = 'c$uNat$uOSuc'('v$un') | 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') = hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),sK2494), inference(resolution, [status(thm)], [d5,c1323])).
% 82.09/12.40 cnf(d7, plain, 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') != 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') | 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') = hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$uq'),sK2494) | ~hBOOL(hAPP(hAPP('c$uRings$uOdvd$u$uclass$uOdvd'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'v$up'),hAPP(hAPP('c$uPower$uOpower$u$uclass$uOpower'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'v$uq'),'c$uNat$uOSuc'('v$un')))) | 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') = hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),sK7) | 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uNat$uOnat') = 'c$uNat$uOSuc'('v$un'), inference(superposition, [status(thm)], [d6,c11])).
% 82.09/12.40 cnf(d8, plain, 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') = hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),sK7) | 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') = hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$uq'),sK2494) | 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uNat$uOnat') = 'c$uNat$uOSuc'('v$un') | ~hBOOL(hAPP(hAPP('c$uRings$uOdvd$u$uclass$uOdvd'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'v$up'),hAPP(hAPP('c$uPower$uOpower$u$uclass$uOpower'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'v$uq'),'c$uNat$uOSuc'('v$un')))), inference(equality_resolution, [status(thm)], [d7])).
% 82.09/12.40 cnf(d9, plain, 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') = hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),sK7) | 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') = hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$uq'),sK2494) | 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uNat$uOnat') = 'c$uNat$uOSuc'('v$un') | 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') = hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),sK7) | 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uNat$uOnat') = 'c$uNat$uOSuc'('v$un'), inference(resolution, [status(thm)], [d8,d4])).
% 82.09/12.40 cnf(d10, plain, 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') != 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') | ~'Ts2492' | 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') = hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),sK7) | 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uNat$uOnat') = 'c$uNat$uOSuc'('v$un'), inference(superposition, [status(thm)], [d9,c1324])).
% 82.09/12.40 cnf(d11, plain, 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') = hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),sK7) | 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uNat$uOnat') = 'c$uNat$uOSuc'('v$un') | ~'Ts2492', inference(equality_resolution, [status(thm)], [d10])).
% 82.09/12.40 cnf(d12, plain, 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') = hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),sK7) | 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uNat$uOnat') = 'c$uNat$uOSuc'('v$un') | 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') = hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),sK7) | 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uNat$uOnat') = 'c$uNat$uOSuc'('v$un'), inference(resolution, [status(thm)], [d11,d5])).
% 82.09/12.40 cnf(d13, plain, 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') != 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') | 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') = hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$uq'),sK7) | 'Ts2492' | 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uNat$uOnat') = 'c$uNat$uOSuc'('v$un'), inference(superposition, [status(thm)], [d12,c1320])).
% 82.09/12.40 cnf(d14, plain, 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') = hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$uq'),sK7) | 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uNat$uOnat') = 'c$uNat$uOSuc'('v$un') | 'Ts2492', inference(equality_resolution, [status(thm)], [d13])).
% 82.09/12.40 cnf(d15, plain, 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')) = 'v$up' | hBOOL(hAPP(hAPP('c$uRings$uOdvd$u$uclass$uOdvd'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'v$up'),hAPP(hAPP('c$uPower$uOpower$u$uclass$uOpower'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'v$uq'),'c$uNat$uOSuc'('v$un')))) | ~'Ts2492', inference(demodulation, [status(thm)], [c1325,c3])).
% 82.09/12.40 cnf(d16, plain, hBOOL(hAPP(hAPP('c$uRings$uOdvd$u$uclass$uOdvd'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'v$up'),hAPP(hAPP('c$uPower$uOpower$u$uclass$uOpower'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'v$uq'),'c$uNat$uOSuc'('v$un')))) | ~'Ts2492', inference(resolution, [status(thm)], [c1,d15])).
% 82.09/12.40 cnf(d17, plain, 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') != 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') | 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') = hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$uq'),sK7) | ~hBOOL(hAPP(hAPP('c$uRings$uOdvd$u$uclass$uOdvd'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'v$up'),hAPP(hAPP('c$uPower$uOpower$u$uclass$uOpower'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'v$uq'),'c$uNat$uOSuc'('v$un')))) | 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uNat$uOnat') = 'c$uNat$uOSuc'('v$un'), inference(superposition, [status(thm)], [d12,c11])).
% 82.09/12.40 cnf(d18, plain, 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') = hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$uq'),sK7) | 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uNat$uOnat') = 'c$uNat$uOSuc'('v$un') | ~hBOOL(hAPP(hAPP('c$uRings$uOdvd$u$uclass$uOdvd'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'v$up'),hAPP(hAPP('c$uPower$uOpower$u$uclass$uOpower'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'v$uq'),'c$uNat$uOSuc'('v$un')))), inference(equality_resolution, [status(thm)], [d17])).
% 82.09/12.40 cnf(d19, plain, 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') = hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$uq'),sK7) | 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uNat$uOnat') = 'c$uNat$uOSuc'('v$un') | ~'Ts2492', inference(resolution, [status(thm)], [d18,d16])).
% 82.09/12.40 cnf(d20, plain, 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') = hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$uq'),sK7) | 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uNat$uOnat') = 'c$uNat$uOSuc'('v$un') | 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') = hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$uq'),sK7) | 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uNat$uOnat') = 'c$uNat$uOSuc'('v$un'), inference(resolution, [status(thm)], [d19,d14])).
% 82.09/12.40 cnf(d21, plain, 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') != 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') | 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uNat$uOnat') = 'c$uNat$uOSuc'('v$un') | hBOOL(hAPP(hAPP('c$uRings$uOdvd$u$uclass$uOdvd'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'v$up'),hAPP(hAPP('c$uPower$uOpower$u$uclass$uOpower'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'v$uq'),'c$uNat$uOSuc'('v$un')))) | 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uNat$uOnat') = 'c$uNat$uOSuc'('v$un'), inference(superposition, [status(thm)], [d20,d2])).
% 82.09/12.40 cnf(d22, plain, 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uNat$uOnat') = 'c$uNat$uOSuc'('v$un') | hBOOL(hAPP(hAPP('c$uRings$uOdvd$u$uclass$uOdvd'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'v$up'),hAPP(hAPP('c$uPower$uOpower$u$uclass$uOpower'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'v$uq'),'c$uNat$uOSuc'('v$un')))), inference(equality_resolution, [status(thm)], [d21])).
% 82.09/12.40 cnf(d23, plain, 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uNat$uOnat') = 'c$uNat$uOSuc'('v$un') | 'Ts2492', inference(resolution, [status(thm)], [d22,d0])).
% 82.09/12.40 cnf(d24, plain, 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uNat$uOnat') = 'c$uNat$uOSuc'('v$un') | 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') = hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),sK2494), inference(resolution, [status(thm)], [d23,c1323])).
% 82.09/12.40 cnf(d25, plain, 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') != 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') | 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') = hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$uq'),sK2494) | ~hBOOL(hAPP(hAPP('c$uRings$uOdvd$u$uclass$uOdvd'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'v$up'),hAPP(hAPP('c$uPower$uOpower$u$uclass$uOpower'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'v$uq'),'c$uNat$uOSuc'('v$un')))) | 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uNat$uOnat') = 'c$uNat$uOSuc'('v$un'), inference(superposition, [status(thm)], [d24,c11])).
% 82.09/12.40 cnf(d26, plain, 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') = hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$uq'),sK2494) | 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uNat$uOnat') = 'c$uNat$uOSuc'('v$un') | ~hBOOL(hAPP(hAPP('c$uRings$uOdvd$u$uclass$uOdvd'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'v$up'),hAPP(hAPP('c$uPower$uOpower$u$uclass$uOpower'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),'v$uq'),'c$uNat$uOSuc'('v$un')))), inference(equality_resolution, [status(thm)], [d25])).
% 82.09/12.40 cnf(d27, plain, 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') = hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$uq'),sK2494) | 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uNat$uOnat') = 'c$uNat$uOSuc'('v$un') | 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uNat$uOnat') = 'c$uNat$uOSuc'('v$un'), inference(resolution, [status(thm)], [d26,d22])).
% 82.09/12.40 cnf(d28, plain, 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') != 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uComplex$uOcomplex') | ~'Ts2492' | 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uNat$uOnat') = 'c$uNat$uOSuc'('v$un'), inference(superposition, [status(thm)], [d27,c1324])).
% 82.09/12.40 cnf(d29, plain, 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uNat$uOnat') = 'c$uNat$uOSuc'('v$un') | ~'Ts2492', inference(equality_resolution, [status(thm)], [d28])).
% 82.09/12.40 cnf(d30, plain, 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uNat$uOnat') = 'c$uNat$uOSuc'('v$un') | 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uNat$uOnat') = 'c$uNat$uOSuc'('v$un'), inference(resolution, [status(thm)], [d29,d23])).
% 82.09/12.40 cnf(d31, plain, 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uNat$uOnat') = 'c$uPolynomial$uOdegree'('tc$uComplex$uOcomplex','v$up'), inference(demodulation, [status(thm)], [c3,d30])).
% 82.09/12.40 cnf(d32, plain, 'c$uNat$uOSuc'(sK44) = 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uNat$uOnat'), inference(demodulation, [status(thm)], [c39,d31])).
% 82.09/12.40 cnf(d33, plain, $false, inference(resolution, [status(thm)], [c41,d32])).
% 82.09/12.40 % SZS output end CNFRefutation for theBenchmark.p
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