%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : SWW210+1 : TPTP v5.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp
% Command  : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s

% Computer : art07.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 2018MB
% OS       : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Mon Mar  7 00:57:05 EST 2011

% Result   : Theorem 236.58s
% Output   : Solution 236.89s
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Reading problem from /tmp/SystemOnTPTP608/SWW210+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% WARNING: TreeLimitedRun lost 0.52s, total lost is 0.52s
% not found
% Adding ~C to TBU       ... ~conj_1:
% ---- Iteration 1 (0 axioms selected)
% Looking for TBU SAT   ... yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... fact__096EX_An0_O_AALL_An_062_061n0_O_Aabs_A_IRe_A_Is_A_If_An_J_J_A_N_Ax_J_A_060_Ae_A_P_A2_096:
% WARNING: TreeLimitedRun lost 0.19s, total lost is 0.71s
%  CSA axiom fact__096EX_An0_O_AALL_An_062_061n0_O_Aabs_A_IRe_A_Is_A_If_An_J_J_A_N_Ax_J_A_060_Ae_A_P_A2_096 found
% Looking for CSA axiom ... fact__096EX_An0_O_AALL_An_062_061n0_O_Aabs_A_IIm_A_Is_A_If_A_Ig_An_J_J_J_A_N_Ay_J_A_060_Ae_A_P_A2_096:
%  CSA axiom fact__096EX_An0_O_AALL_An_062_061n0_O_Aabs_A_IIm_A_Is_A_If_A_Ig_An_J_J_J_A_N_Ay_J_A_060_Ae_A_P_A2_096 found
% Looking for CSA axiom ... fact_less__not__refl:
% WARNING: TreeLimitedRun lost 0.02s, total lost is 0.73s
%  CSA axiom fact_less__not__refl found
% ---- Iteration 2 (3 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... fact_less__irrefl__nat:WARNING: TreeLimitedRun lost 0.04s, total lost is 0.77s
% fact_less__imp__diff__less:
% WARNING: TreeLimitedRun lost 0.12s, total lost is 0.89s
%  CSA axiom fact_less__imp__diff__less found
% Looking for CSA axiom ... fact_diff__less__mono2:
%  CSA axiom fact_diff__less__mono2 found
% Looking for CSA axiom ... fact_real__le__trans:
%  CSA axiom fact_real__le__trans found
% ---- Iteration 3 (6 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... fact_less__irrefl__nat:
% fact_real__le__linear:
%  CSA axiom fact_real__le__linear found
% Looking for CSA axiom ... fact_real__le__refl:
%  CSA axiom fact_real__le__refl found
% Looking for CSA axiom ... fact_diff__less__mono:
% WARNING: TreeLimitedRun lost 0.11s, total lost is 1.00s
%  CSA axiom fact_diff__less__mono found
% ---- Iteration 4 (9 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... fact_less__irrefl__nat:WARNING: TreeLimitedRun lost 0.09s, total lost is 1.09s
% WARNING: TreeLimitedRun lost 0.22s, total lost is 1.31s
% fact_less__diff__iff:
%  CSA axiom fact_less__diff__iff found
% Looking for CSA axiom ... fact_le__diff__iff:
%  CSA axiom fact_le__diff__iff found
% Looking for CSA axiom ... fact_diff__le__mono:
%  CSA axiom fact_diff__le__mono found
% ---- Iteration 5 (12 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... fact_less__irrefl__nat:
% WARNING: TreeLimitedRun lost 0.14s, total lost is 1.45s
% fact_diff__le__mono2:
%  CSA axiom fact_diff__le__mono2 found
% Looking for CSA axiom ... fact_diff__le__self:
%  CSA axiom fact_diff__le__self found
% Looking for CSA axiom ... fact_less__imp__le__nat:
%  CSA axiom fact_less__imp__le__nat found
% ---- Iteration 6 (15 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... fact_less__irrefl__nat:
% WARNING: TreeLimitedRun lost 0.14s, total lost is 1.59s
% fact_le__trans:
% WARNING: TreeLimitedRun lost 0.22s, total lost is 1.81s
%  CSA axiom fact_le__trans found
% Looking for CSA axiom ... fact_nat__le__linear:
%  CSA axiom fact_nat__le__linear found
% Looking for CSA axiom ... fact_le__refl:
% WARNING: TreeLimitedRun lost 0.18s, total lost is 1.99s
% WARNING: TreeLimitedRun lost 0.19s, total lost is 2.18s
% fact_termination__basic__simps_I5_J:
% WARNING: TreeLimitedRun lost 0.17s, total lost is 2.35s
% conj_0:
%  CSA axiom conj_0 found
% ---- Iteration 7 (18 axioms selected)
% Looking for TBU SAT   ... 
% WARNING: TreeLimitedRun lost 0.04s, total lost is 2.39s
% no
% Looking for TBU UNS   ... 
% WARNING: TreeLimitedRun lost 0.23s, total lost is 2.62s
% yes - theorem proved
% ---- Selection completed
% Selected axioms are   ... :conj_0:fact_nat__le__linear:fact_le__trans:fact_less__imp__le__nat:fact_diff__le__self:fact_diff__le__mono2:fact_diff__le__mono:fact_le__diff__iff:fact_less__diff__iff:fact_diff__less__mono:fact_real__le__refl:fact_real__le__linear:fact_real__le__trans:fact_diff__less__mono2:fact_less__imp__diff__less:fact_less__not__refl:fact__096EX_An0_O_AALL_An_062_061n0_O_Aabs_A_IIm_A_Is_A_If_A_Ig_An_J_J_J_A_N_Ay_J_A_060_Ae_A_P_A2_096:fact__096EX_An0_O_AALL_An_062_061n0_O_Aabs_A_IRe_A_Is_A_If_An_J_J_A_N_Ax_J_A_060_Ae_A_P_A2_096 (18)
% Unselected axioms are ... 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inverse:fact_field__inverse:fact_power__eq__0__iff (1183)
% SZS status THM for /tmp/SystemOnTPTP608/SWW210+1.tptp
% Looking for THM       ... 
% found
% SZS output start Solution for /tmp/SystemOnTPTP608/SWW210+1.tptp
% TreeLimitedRun: ----------------------------------------------------------
% TreeLimitedRun: /home/graph/tptp/Systems/EP---1.2/eproof --print-statistics -xAuto -tAuto --cpu-limit=600 --proof-time-unlimited --memory-limit=Auto --tstp-in --tstp-out /tmp/SRASS.s.p 
% TreeLimitedRun: CPU time limit is 600s
% TreeLimitedRun: WC  time limit is 1200s
% TreeLimitedRun: PID is 4524
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% # Preprocessing time     : 0.015 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(1, axiom,(?[X1]:![X2]:(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)=>c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,X2))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))=>(?[X3]:![X2]:(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2)=>c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,X2)))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))=>v_thesis____)),file('/tmp/SRASS.s.p', conj_0)).
% fof(17, axiom,?[X18]:![X2]:(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X18,X2)=>c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,X2)))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),file('/tmp/SRASS.s.p', fact__096EX_An0_O_AALL_An_062_061n0_O_Aabs_A_IIm_A_Is_A_If_A_Ig_An_J_J_J_A_N_Ay_J_A_060_Ae_A_P_A2_096)).
% fof(18, axiom,?[X18]:![X2]:(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X18,X2)=>c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,X2))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),file('/tmp/SRASS.s.p', fact__096EX_An0_O_AALL_An_062_061n0_O_Aabs_A_IRe_A_Is_A_If_An_J_J_A_N_Ax_J_A_060_Ae_A_P_A2_096)).
% fof(19, conjecture,v_thesis____,file('/tmp/SRASS.s.p', conj_1)).
% fof(20, negated_conjecture,~(v_thesis____),inference(assume_negation,[status(cth)],[19])).
% fof(22, negated_conjecture,~(v_thesis____),inference(fof_simplification,[status(thm)],[20,theory(equality)])).
% fof(23, plain,(![X1]:?[X2]:(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)&~(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,X2))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))|(![X3]:?[X2]:(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2)&~(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,X2)))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))|v_thesis____)),inference(fof_nnf,[status(thm)],[1])).
% fof(24, plain,(![X4]:?[X5]:(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4,X5)&~(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,X5))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))|(![X6]:?[X7]:(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X6,X7)&~(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,X7)))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))|v_thesis____)),inference(variable_rename,[status(thm)],[23])).
% fof(25, plain,(![X4]:(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4,esk1_1(X4))&~(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,esk1_1(X4)))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))|(![X6]:(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X6,esk2_1(X6))&~(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,esk2_1(X6))))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))|v_thesis____)),inference(skolemize,[status(esa)],[24])).
% fof(26, plain,![X4]:![X6]:(((c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X6,esk2_1(X6))&~(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,esk2_1(X6))))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))|v_thesis____)|(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4,esk1_1(X4))&~(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,esk1_1(X4)))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))),inference(shift_quantors,[status(thm)],[25])).
% fof(27, plain,![X4]:![X6]:(((c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4,esk1_1(X4))|(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X6,esk2_1(X6))|v_thesis____))&(~(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,esk1_1(X4)))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))|(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X6,esk2_1(X6))|v_thesis____)))&((c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4,esk1_1(X4))|(~(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,esk2_1(X6))))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))|v_thesis____))&(~(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,esk1_1(X4)))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))|(~(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,esk2_1(X6))))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))|v_thesis____)))),inference(distribute,[status(thm)],[26])).
% cnf(28,plain,(v_thesis____|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,esk2_1(X1))))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,esk1_1(X2)))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),inference(split_conjunct,[status(thm)],[27])).
% cnf(29,plain,(v_thesis____|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,esk1_1(X2))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,esk2_1(X1))))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),inference(split_conjunct,[status(thm)],[27])).
% cnf(30,plain,(v_thesis____|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,esk2_1(X1))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,esk1_1(X2)))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),inference(split_conjunct,[status(thm)],[27])).
% cnf(31,plain,(v_thesis____|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,esk2_1(X1))|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,esk1_1(X2))),inference(split_conjunct,[status(thm)],[27])).
% fof(76, plain,?[X18]:![X2]:(~(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X18,X2))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,X2)))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),inference(fof_nnf,[status(thm)],[17])).
% fof(77, plain,?[X19]:![X20]:(~(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X19,X20))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,X20)))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),inference(variable_rename,[status(thm)],[76])).
% fof(78, plain,![X20]:(~(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk3_0,X20))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,X20)))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),inference(skolemize,[status(esa)],[77])).
% cnf(79,plain,(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,X1)))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk3_0,X1)),inference(split_conjunct,[status(thm)],[78])).
% fof(80, plain,?[X18]:![X2]:(~(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X18,X2))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,X2))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),inference(fof_nnf,[status(thm)],[18])).
% fof(81, plain,?[X19]:![X20]:(~(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X19,X20))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,X20))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),inference(variable_rename,[status(thm)],[80])).
% fof(82, plain,![X20]:(~(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk4_0,X20))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,X20))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),inference(skolemize,[status(esa)],[81])).
% cnf(83,plain,(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,X1))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk4_0,X1)),inference(split_conjunct,[status(thm)],[82])).
% cnf(84,negated_conjecture,(~v_thesis____),inference(split_conjunct,[status(thm)],[22])).
% cnf(85,plain,(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,esk1_1(X2))|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,esk2_1(X1))),inference(sr,[status(thm)],[31,84,theory(equality)])).
% cnf(89,plain,(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,esk2_1(X1))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,esk1_1(X2)))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),inference(sr,[status(thm)],[30,84,theory(equality)])).
% cnf(90,plain,(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,esk1_1(X2))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,esk2_1(X1))))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),inference(sr,[status(thm)],[29,84,theory(equality)])).
% cnf(91,plain,(~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,esk1_1(X2)))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,esk2_1(X1))))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),inference(sr,[status(thm)],[28,84,theory(equality)])).
% fof(92, plain,(~(epred1_0)<=>![X1]:~(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,esk2_1(X1))))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))),introduced(definition),['split']).
% cnf(93,plain,(epred1_0|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,esk2_1(X1))))),v_y____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),inference(split_equiv,[status(thm)],[92])).
% fof(94, plain,(~(epred2_0)<=>![X2]:~(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,esk1_1(X2)))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))),introduced(definition),['split']).
% cnf(95,plain,(epred2_0|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,esk1_1(X2)))),v_x____)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),inference(split_equiv,[status(thm)],[94])).
% cnf(96,plain,(~epred2_0|~epred1_0),inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[91,92,theory(equality)]),94,theory(equality)]),['split']).
% cnf(129,plain,(epred2_0|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk4_0,esk1_1(X1))),inference(spm,[status(thm)],[95,83,theory(equality)])).
% cnf(130,plain,(epred1_0|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk3_0,esk2_1(X1))),inference(spm,[status(thm)],[93,79,theory(equality)])).
% cnf(131,plain,(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,esk2_1(X1))|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk4_0,esk1_1(X2))),inference(spm,[status(thm)],[89,83,theory(equality)])).
% cnf(132,plain,(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,esk1_1(X1))|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk3_0,esk2_1(X2))),inference(spm,[status(thm)],[90,79,theory(equality)])).
% cnf(139,plain,(epred2_0|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,esk2_1(X1))),inference(spm,[status(thm)],[129,85,theory(equality)])).
% cnf(142,plain,(epred1_0|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,esk1_1(X1))),inference(spm,[status(thm)],[130,85,theory(equality)])).
% cnf(172,plain,(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,esk2_1(X1))|epred1_0),inference(spm,[status(thm)],[131,142,theory(equality)])).
% cnf(189,plain,(epred1_0),inference(spm,[status(thm)],[130,172,theory(equality)])).
% cnf(196,plain,(~epred2_0|$false),inference(rw,[status(thm)],[96,189,theory(equality)])).
% cnf(197,plain,(~epred2_0),inference(cn,[status(thm)],[196,theory(equality)])).
% cnf(199,plain,(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,esk2_1(X1))),inference(sr,[status(thm)],[139,197,theory(equality)])).
% cnf(261,plain,(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,esk1_1(X1))),inference(spm,[status(thm)],[132,199,theory(equality)])).
% cnf(268,plain,(epred2_0),inference(spm,[status(thm)],[129,261,theory(equality)])).
% cnf(273,plain,($false),inference(sr,[status(thm)],[268,197,theory(equality)])).
% cnf(274,plain,($false),273,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 91
% # ...of these trivial                : 1
% # ...subsumed                        : 12
% # ...remaining for further processing: 78
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 3
% # Backward-rewritten                 : 10
% # Generated clauses                  : 143
% # ...of the previous two non-trivial : 120
% # Contextual simplify-reflections    : 6
% # Paramodulations                    : 127
% # Factorizations                     : 12
% # Equation resolutions               : 0
% # Current number of processed clauses: 39
% #    Positive orientable unit clauses: 8
% #    Positive unorientable unit clauses: 0
% #    Negative unit clauses           : 5
% #    Non-unit-clauses                : 26
% # Current number of unprocessed clauses: 60
% # ...number of literals in the above : 193
% # Clause-clause subsumption calls (NU) : 223
% # Rec. Clause-clause subsumption calls : 208
% # Unit Clause-clause subsumption calls : 65
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 62
% # Indexed BW rewrite successes       : 4
% # Backwards rewriting index:    45 leaves,   1.91+/-2.064 terms/leaf
% # Paramod-from index:            7 leaves,   3.43+/-2.060 terms/leaf
% # Paramod-into index:           42 leaves,   1.79+/-1.684 terms/leaf
% # -------------------------------------------------
% # User time              : 0.020 s
% # System time            : 0.005 s
% # Total time             : 0.025 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.11 CPU 0.19 WC
% FINAL PrfWatch: 0.11 CPU 0.19 WC
% SZS output end Solution for /tmp/SystemOnTPTP608/SWW210+1.tptp
% 
%------------------------------------------------------------------------------