TSTP Solution File: NUM923+1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : NUM923+1 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n008.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 : 600s
% DateTime : Mon Jul 18 13:33:07 EDT 2022
% Result : Timeout 300.06s 300.33s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM923+1 : TPTP v8.1.0. Released v5.3.0.
% 0.11/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n008.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 : 600
% 0.13/0.34 % DateTime : Tue Jul 5 03:53:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.67/0.98 ============================== Prover9 ===============================
% 0.67/0.98 Prover9 (32) version 2009-11A, November 2009.
% 0.67/0.98 Process 17515 was started by sandbox2 on n008.cluster.edu,
% 0.67/0.98 Tue Jul 5 03:53:24 2022
% 0.67/0.98 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_17360_n008.cluster.edu".
% 0.67/0.98 ============================== end of head ===========================
% 0.67/0.98
% 0.67/0.98 ============================== INPUT =================================
% 0.67/0.98
% 0.67/0.98 % Reading from file /tmp/Prover9_17360_n008.cluster.edu
% 0.67/0.98
% 0.67/0.98 set(prolog_style_variables).
% 0.67/0.98 set(auto2).
% 0.67/0.98 % set(auto2) -> set(auto).
% 0.67/0.98 % set(auto) -> set(auto_inference).
% 0.67/0.98 % set(auto) -> set(auto_setup).
% 0.67/0.98 % set(auto_setup) -> set(predicate_elim).
% 0.67/0.98 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.67/0.98 % set(auto) -> set(auto_limits).
% 0.67/0.98 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.67/0.98 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.67/0.98 % set(auto) -> set(auto_denials).
% 0.67/0.98 % set(auto) -> set(auto_process).
% 0.67/0.98 % set(auto2) -> assign(new_constants, 1).
% 0.67/0.98 % set(auto2) -> assign(fold_denial_max, 3).
% 0.67/0.98 % set(auto2) -> assign(max_weight, "200.000").
% 0.67/0.98 % set(auto2) -> assign(max_hours, 1).
% 0.67/0.98 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.67/0.98 % set(auto2) -> assign(max_seconds, 0).
% 0.67/0.98 % set(auto2) -> assign(max_minutes, 5).
% 0.67/0.98 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.67/0.98 % set(auto2) -> set(sort_initial_sos).
% 0.67/0.98 % set(auto2) -> assign(sos_limit, -1).
% 0.67/0.98 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.67/0.98 % set(auto2) -> assign(max_megs, 400).
% 0.67/0.98 % set(auto2) -> assign(stats, some).
% 0.67/0.98 % set(auto2) -> clear(echo_input).
% 0.67/0.98 % set(auto2) -> set(quiet).
% 0.67/0.98 % set(auto2) -> clear(print_initial_clauses).
% 0.67/0.98 % set(auto2) -> clear(print_given).
% 0.67/0.98 assign(lrs_ticks,-1).
% 0.67/0.98 assign(sos_limit,10000).
% 0.67/0.98 assign(order,kbo).
% 0.67/0.98 set(lex_order_vars).
% 0.67/0.98 clear(print_given).
% 0.67/0.98
% 0.67/0.98 % formulas(sos). % not echoed (79 formulas)
% 0.67/0.98
% 0.67/0.98 ============================== end of input ==========================
% 0.67/0.98
% 0.67/0.98 % From the command line: assign(max_seconds, 300).
% 0.67/0.98
% 0.67/0.98 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.67/0.98
% 0.67/0.98 % Formulas that are not ordinary clauses:
% 0.67/0.98 1 (all B_1_1 all B_2_1 is_bool(ord_less_eq_int(B_1_1,B_2_1))) # label(gsy_c_Orderings_Oord__class_Oless__eq_000tc__Int__Oint) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 2 (all B_1_1 all B_2_1 all B_3_1 is_bool(produc262399358t_bool(B_1_1,B_2_1,B_3_1))) # label(gsy_c_Product__Type_Ocurry_000tc__Int__Oint_000tc__Int__Oint_000tc__HOL__Obool) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 3 (all B_1_1 is_bool(twoSqu526106917sum2sq(B_1_1))) # label(gsy_c_TwoSquares__Mirabelle__yteckqlrrb_Ois__sum2sq) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 4 (all B_1_1 all B_2_1 is_bool(hAPP_P603027463t_bool(B_1_1,B_2_1))) # label(gsy_c_hAPP_000tc__prod_Itc__Int__Oint_Mtc__Int__Oint_J_000tc__HOL__Obool) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 5 (all A_28 all R all B_25 all M_1 all C_21 all D_6 all N plus_plus_int(times_times_int(minus_minus_int(A_28,times_times_int(R,B_25)),M_1),times_times_int(minus_minus_int(C_21,times_times_int(R,D_6)),N)) = minus_minus_int(plus_plus_int(times_times_int(A_28,M_1),times_times_int(C_21,N)),times_times_int(R,plus_plus_int(times_times_int(B_25,M_1),times_times_int(D_6,N))))) # label(fact_0_xzgcda__linear__aux1) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 6 (all X_6 all Y_6 all A_29 all B_26 minus_minus_int(times_times_int(X_6,Y_6),times_times_int(A_29,B_26)) = plus_plus_int(times_times_int(X_6,minus_minus_int(Y_6,B_26)),times_times_int(minus_minus_int(X_6,A_29),B_26))) # label(fact_1_mult__diff__mult) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 7 (all Aa all E all C all Ba all D_1 (plus_plus_int(times_times_int(Aa,E),C) = plus_plus_int(times_times_int(Ba,E),D_1) <-> C = plus_plus_int(times_times_int(minus_minus_int(Ba,Aa),E),D_1))) # label(fact_2_eq__add__iff2) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 8 (all Aa all E all C all Ba all D_1 (plus_plus_int(times_times_int(Aa,E),C) = plus_plus_int(times_times_int(Ba,E),D_1) <-> plus_plus_int(times_times_int(minus_minus_int(Aa,Ba),E),C) = D_1)) # label(fact_3_eq__add__iff1) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 9 (all X_4 (hBOOL(twoSqu526106917sum2sq(X_4)) <-> (exists A_5 exists B_5 twoSqu536811803sum2sq(product_Pair_int_int(A_5,B_5)) = X_4))) # label(fact_4_is__sum2sq__def) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 10 (all A_28 all B_25 all C_21 (minus_minus_int(A_28,B_25) = C_21 -> A_28 = plus_plus_int(C_21,B_25))) # label(fact_5_Int2_Oaux1) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 11 (all W all Z1 all Z2 times_times_int(W,minus_minus_int(Z1,Z2)) = minus_minus_int(times_times_int(W,Z1),times_times_int(W,Z2))) # label(fact_6_zdiff__zmult__distrib2) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 12 (all Z1 all Z2 all W times_times_int(minus_minus_int(Z1,Z2),W) = minus_minus_int(times_times_int(Z1,W),times_times_int(Z2,W))) # label(fact_7_zdiff__zmult__distrib) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 13 (all W all Z1 all Z2 times_times_int(W,plus_plus_int(Z1,Z2)) = plus_plus_int(times_times_int(W,Z1),times_times_int(W,Z2))) # label(fact_8_zadd__zmult__distrib2) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 14 (all Z1 all Z2 all W times_times_int(plus_plus_int(Z1,Z2),W) = plus_plus_int(times_times_int(Z1,W),times_times_int(Z2,W))) # label(fact_9_zadd__zmult__distrib) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 15 (all A_27 all B_24 plus_plus_int(minus_minus_int(A_27,B_24),B_24) = A_27) # label(fact_10_diff__add__cancel) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 16 (all A_26 all B_23 all C_20 times_times_int(times_times_int(A_26,B_23),C_20) = times_times_int(A_26,times_times_int(B_23,C_20))) # label(fact_11_ab__semigroup__mult__class_Omult__ac_I1_J) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 17 (all B_22 all A_25 all C_19 (plus_plus_int(B_22,A_25) = plus_plus_int(C_19,A_25) -> B_22 = C_19)) # label(fact_12_add__right__imp__eq) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 18 (all A_24 all B_21 all C_18 (plus_plus_int(A_24,B_21) = plus_plus_int(A_24,C_18) -> B_21 = C_18)) # label(fact_13_add__imp__eq) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 19 (all A_23 all B_20 all C_17 (plus_plus_int(A_23,B_20) = plus_plus_int(A_23,C_17) -> B_20 = C_17)) # label(fact_14_add__left__imp__eq) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 20 (all Ba all Aa all C (plus_plus_int(Ba,Aa) = plus_plus_int(C,Aa) <-> Ba = C)) # label(fact_15_add__right__cancel) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 21 (all Aa all Ba all C (plus_plus_int(Aa,Ba) = plus_plus_int(Aa,C) <-> Ba = C)) # label(fact_16_add__left__cancel) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 22 (all A_22 all B_19 all C_16 plus_plus_int(plus_plus_int(A_22,B_19),C_16) = plus_plus_int(A_22,plus_plus_int(B_19,C_16))) # label(fact_17_ab__semigroup__add__class_Oadd__ac_I1_J) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 23 (all Aa all Ba all C all D_1 (minus_minus_int(Aa,Ba) = minus_minus_int(C,D_1) -> (Aa = Ba <-> C = D_1))) # label(fact_18_diff__eq__diff__eq) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 24 (all Z1 all Z2 all Z3 times_times_int(times_times_int(Z1,Z2),Z3) = times_times_int(Z1,times_times_int(Z2,Z3))) # label(fact_19_zmult__assoc) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 25 (all Z all W times_times_int(Z,W) = times_times_int(W,Z)) # label(fact_20_zmult__commute) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 26 (all Z1 all Z2 all Z3 plus_plus_int(plus_plus_int(Z1,Z2),Z3) = plus_plus_int(Z1,plus_plus_int(Z2,Z3))) # label(fact_21_zadd__assoc) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 27 (all X_5 all Y_5 all Z plus_plus_int(X_5,plus_plus_int(Y_5,Z)) = plus_plus_int(Y_5,plus_plus_int(X_5,Z))) # label(fact_22_zadd__left__commute) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 28 (all Z all W plus_plus_int(Z,W) = plus_plus_int(W,Z)) # label(fact_23_zadd__commute) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 29 (all A_21 all E_1 all B_18 all C_15 plus_plus_int(times_times_int(A_21,E_1),plus_plus_int(times_times_int(B_18,E_1),C_15)) = plus_plus_int(times_times_int(plus_plus_int(A_21,B_18),E_1),C_15)) # label(fact_24_combine__common__factor) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 30 (all A_20 all B_17 all C_14 times_times_int(plus_plus_int(A_20,B_17),C_14) = plus_plus_int(times_times_int(A_20,C_14),times_times_int(B_17,C_14))) # label(fact_25_comm__semiring__class_Odistrib) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 31 (all A_19 all C_13 all B_16 all D_5 minus_minus_int(plus_plus_int(A_19,C_13),plus_plus_int(B_16,D_5)) = plus_plus_int(minus_minus_int(A_19,B_16),minus_minus_int(C_13,D_5))) # label(fact_26_add__diff__add) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 32 (all A_18 all B_15 minus_minus_int(plus_plus_int(A_18,B_15),B_15) = A_18) # label(fact_27_add__diff__cancel) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 33 (all W_1 all Y_4 all X_4 all Z_2 (plus_plus_int(times_times_int(W_1,Y_4),times_times_int(X_4,Z_2)) = plus_plus_int(times_times_int(W_1,Z_2),times_times_int(X_4,Y_4)) <-> W_1 = X_4 | Y_4 = Z_2)) # label(fact_28_crossproduct__eq) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 34 (all A_17 all M all B_14 plus_plus_int(times_times_int(A_17,M),times_times_int(B_14,M)) = times_times_int(plus_plus_int(A_17,B_14),M)) # label(fact_29_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 35 (all A_16 all B_13 all C_12 times_times_int(plus_plus_int(A_16,B_13),C_12) = plus_plus_int(times_times_int(A_16,C_12),times_times_int(B_13,C_12))) # label(fact_30_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 36 (all C all D_1 all Aa all Ba (Aa != Ba & C != D_1 <-> plus_plus_int(times_times_int(Aa,C),times_times_int(Ba,D_1)) != plus_plus_int(times_times_int(Aa,D_1),times_times_int(Ba,C)))) # label(fact_31_crossproduct__noteq) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 37 (all X_3 all Y_3 all Z_1 times_times_int(X_3,plus_plus_int(Y_3,Z_1)) = plus_plus_int(times_times_int(X_3,Y_3),times_times_int(X_3,Z_1))) # label(fact_32_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 38 (all A_15 all B_12 all A_14 all B_11 (product_Pair_int_int(A_15,B_12) = product_Pair_int_int(A_14,B_11) -> -(A_15 = A_14 -> B_12 != B_11))) # label(fact_33_Pair__inject) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 39 (all Aa all Ba all A_13 all B_10 (product_Pair_int_int(Aa,Ba) = product_Pair_int_int(A_13,B_10) <-> Aa = A_13 & Ba = B_10)) # label(fact_34_Pair__eq) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 40 (all A_12 all B_9 times_times_int(A_12,B_9) = times_times_int(B_9,A_12)) # label(fact_35_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 41 (all Lx_6 all Rx_6 all Ry_4 times_times_int(Lx_6,times_times_int(Rx_6,Ry_4)) = times_times_int(Rx_6,times_times_int(Lx_6,Ry_4))) # label(fact_36_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 42 (all Lx_5 all Rx_5 all Ry_3 times_times_int(Lx_5,times_times_int(Rx_5,Ry_3)) = times_times_int(times_times_int(Lx_5,Rx_5),Ry_3)) # label(fact_37_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 43 (all Lx_4 all Ly_4 all Rx_4 times_times_int(times_times_int(Lx_4,Ly_4),Rx_4) = times_times_int(Lx_4,times_times_int(Ly_4,Rx_4))) # label(fact_38_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 44 (all Lx_3 all Ly_3 all Rx_3 times_times_int(times_times_int(Lx_3,Ly_3),Rx_3) = times_times_int(times_times_int(Lx_3,Rx_3),Ly_3)) # label(fact_39_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 45 (all Lx_2 all Ly_2 all Rx_2 all Ry_2 times_times_int(times_times_int(Lx_2,Ly_2),times_times_int(Rx_2,Ry_2)) = times_times_int(Lx_2,times_times_int(Ly_2,times_times_int(Rx_2,Ry_2)))) # label(fact_40_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 46 (all Lx_1 all Ly_1 all Rx_1 all Ry_1 times_times_int(times_times_int(Lx_1,Ly_1),times_times_int(Rx_1,Ry_1)) = times_times_int(Rx_1,times_times_int(times_times_int(Lx_1,Ly_1),Ry_1))) # label(fact_41_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 47 (all Lx all Ly all Rx all Ry times_times_int(times_times_int(Lx,Ly),times_times_int(Rx,Ry)) = times_times_int(times_times_int(Lx,Rx),times_times_int(Ly,Ry))) # label(fact_42_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 48 (all A_11 all C_11 plus_plus_int(A_11,C_11) = plus_plus_int(C_11,A_11)) # label(fact_43_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 49 (all A_10 all C_10 all D_4 plus_plus_int(A_10,plus_plus_int(C_10,D_4)) = plus_plus_int(C_10,plus_plus_int(A_10,D_4))) # label(fact_44_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 50 (all A_9 all C_9 all D_3 plus_plus_int(A_9,plus_plus_int(C_9,D_3)) = plus_plus_int(plus_plus_int(A_9,C_9),D_3)) # label(fact_45_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 51 (all A_8 all B_8 all C_8 plus_plus_int(plus_plus_int(A_8,B_8),C_8) = plus_plus_int(A_8,plus_plus_int(B_8,C_8))) # label(fact_46_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 52 (all A_7 all B_7 all C_7 plus_plus_int(plus_plus_int(A_7,B_7),C_7) = plus_plus_int(plus_plus_int(A_7,C_7),B_7)) # label(fact_47_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 53 (all A_6 all B_6 all C_6 all D_2 plus_plus_int(plus_plus_int(A_6,B_6),plus_plus_int(C_6,D_2)) = plus_plus_int(plus_plus_int(A_6,C_6),plus_plus_int(B_6,D_2))) # label(fact_48_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 54 (all P_1 ((all X1 hBOOL(hAPP_P603027463t_bool(P_1,X1))) <-> (all A_5 all B_5 hBOOL(hAPP_P603027463t_bool(P_1,product_Pair_int_int(A_5,B_5)))))) # label(fact_49_split__paired__All) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 55 (all P_1 ((exists X1 hBOOL(hAPP_P603027463t_bool(P_1,X1))) <-> (exists A_5 exists B_5 hBOOL(hAPP_P603027463t_bool(P_1,product_Pair_int_int(A_5,B_5)))))) # label(fact_50_split__paired__Ex) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 56 (all Y_2 -(all A_5 all B_5 Y_2 != product_Pair_int_int(A_5,B_5))) # label(fact_51_prod_Oexhaust) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 57 (all P -(all X_2 all Y_1 P != product_Pair_int_int(X_2,Y_1))) # label(fact_52_PairE) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 58 (all F all Aa all Ba (hBOOL(hAPP_P603027463t_bool(F,product_Pair_int_int(Aa,Ba))) -> hBOOL(produc262399358t_bool(F,Aa,Ba)))) # label(fact_53_curryI) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 59 (all F all Aa all Ba (hBOOL(produc262399358t_bool(F,Aa,Ba)) -> hBOOL(hAPP_P603027463t_bool(F,product_Pair_int_int(Aa,Ba))))) # label(fact_54_curryD) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 60 (all F all Aa all Ba (hBOOL(produc262399358t_bool(F,Aa,Ba)) -> hBOOL(hAPP_P603027463t_bool(F,product_Pair_int_int(Aa,Ba))))) # label(fact_55_curryE) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 61 (all F all Aa all Ba (hBOOL(produc262399358t_bool(F,Aa,Ba)) <-> hBOOL(hAPP_P603027463t_bool(F,product_Pair_int_int(Aa,Ba))))) # label(fact_56_curry__conv) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 62 (all Aa all E all C all Ba all D_1 (hBOOL(ord_less_eq_int(plus_plus_int(times_times_int(Aa,E),C),plus_plus_int(times_times_int(Ba,E),D_1))) <-> hBOOL(ord_less_eq_int(plus_plus_int(times_times_int(minus_minus_int(Aa,Ba),E),C),D_1)))) # label(fact_57_le__add__iff1) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 63 (all Aa all E all C all Ba all D_1 (hBOOL(ord_less_eq_int(plus_plus_int(times_times_int(Aa,E),C),plus_plus_int(times_times_int(Ba,E),D_1))) <-> hBOOL(ord_less_eq_int(C,plus_plus_int(times_times_int(minus_minus_int(Ba,Aa),E),D_1))))) # label(fact_58_le__add__iff2) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.99 64 (all K all I all J (hBOOL(ord_less_eq_int(I,J)) -> hBOOL(ord_less_eq_int(plus_plus_int(K,I),plus_plus_int(K,J))))) # label(fact_59_zadd__left__mono) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.99 65 (all Aa all Ba all C all D_1 (minus_minus_int(Aa,Ba) = minus_minus_int(C,D_1) -> (hBOOL(ord_less_eq_int(Aa,Ba)) <-> hBOOL(ord_less_eq_int(C,D_1))))) # label(fact_60_diff__eq__diff__less__eq) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.99 66 (all C_5 all A_4 all B_4 (hBOOL(ord_less_eq_int(plus_plus_int(C_5,A_4),plus_plus_int(C_5,B_4))) -> hBOOL(ord_less_eq_int(A_4,B_4)))) # label(fact_61_add__le__imp__le__left) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.99 67 (all A_3 all C_4 all B_3 (hBOOL(ord_less_eq_int(plus_plus_int(A_3,C_4),plus_plus_int(B_3,C_4))) -> hBOOL(ord_less_eq_int(A_3,B_3)))) # label(fact_62_add__le__imp__le__right) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.99 68 (all C_3 all D all A_2 all B_2 (hBOOL(ord_less_eq_int(A_2,B_2)) -> (hBOOL(ord_less_eq_int(C_3,D)) -> hBOOL(ord_less_eq_int(plus_plus_int(A_2,C_3),plus_plus_int(B_2,D)))))) # label(fact_63_add__mono) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.99 69 (all C_2 all A_1 all B_1 (hBOOL(ord_less_eq_int(A_1,B_1)) -> hBOOL(ord_less_eq_int(plus_plus_int(C_2,A_1),plus_plus_int(C_2,B_1))))) # label(fact_64_add__left__mono) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.99 70 (all C_1 all A all B (hBOOL(ord_less_eq_int(A,B)) -> hBOOL(ord_less_eq_int(plus_plus_int(A,C_1),plus_plus_int(B,C_1))))) # label(fact_65_add__right__mono) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.99 71 (all C all Aa all Ba (hBOOL(ord_less_eq_int(plus_plus_int(C,Aa),plus_plus_int(C,Ba))) <-> hBOOL(ord_less_eq_int(Aa,Ba)))) # label(fact_66_add__le__cancel__left) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.99 72 (all Aa all C all Ba (hBOOL(ord_less_eq_int(plus_plus_int(Aa,C),plus_plus_int(Ba,C))) <-> hBOOL(ord_less_eq_int(Aa,Ba)))) # label(fact_67_add__le__cancel__right) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.99 73 (all X_1 hBOOL(ord_less_eq_int(X_1,X_1))) # label(fact_68_order__refl) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.99 74 (all X all Y (-hBOOL(ord_less_eq_int(X,Y)) -> hBOOL(ord_less_eq_int(Y,X)))) # label(fact_69_linorder__le__cases) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.99 75 (all W hBOOL(ord_less_eq_int(W,W))) # label(fact_70_zle__refl) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.99 76 (all Z all W (hBOOL(ord_less_eq_int(Z,W)) | hBOOL(ord_less_eq_int(W,Z)))) # label(fact_71_zle__linear) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.99 77 (all K all I all J (hBOOL(ord_less_eq_int(I,J)) -> (hBOOL(ord_less_eq_int(J,K)) -> hBOOL(ord_less_eq_int(I,K))))) # label(fact_72_zle__trans) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.99 78 (all Z all W (hBOOL(ord_less_eq_int(Z,W)) -> (hBOOL(ord_less_eq_int(W,Z)) -> Z = W))) # label(fact_73_zle__antisym) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.99
% 0.67/0.99 ============================== end of process non-clausal formulas ===
% 0.67/0.99
% 0.67/0.99 ============================== PROCESS INITIAL CLAUSES ===============
% 0.67/0.99
% 0.67/0.99 ============================== PREDICATE ELIMINATION =================
% 0.67/0.99
% 0.67/0.99 ============================== end predicate elimination =============
% 0.67/0.99
% 0.67/0.99 Auto_denials: (non-Horn, no changes).
% 0.67/0.99
% 0.67/0.99 Term ordering decisions:
% 0.67/0.99 Function symbol KB weights: a=1. b=1. p=1. q=1. plus_plus_int=1. times_times_int=1. ord_less_eq_int=1. minus_minus_int=1. product_Pair_int_int=1. hAPP_P603027463t_bool=1. twoSqu526106917sum2sq=1. twoSqu536811803sum2sq=1. f1=1. f2=1. f3=1. f4=1. f5=1. f6=1. f7=1. f8=1. f9=1. f10=1. f11=1. f12=1. produc262399358t_bool=1.
% 0.67/0.99
% 0.67/0.99 ============================== end of process initial clauses ========
% 0.67/0.99
% 0.67/0.99 ============================== CLAUSES FOR SEARCH ====================
% 0.67/0.99
% 0.67/0.99 ============================== endCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------