%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : ITP038^1 : TPTP v9.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n022.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 : Thu Oct 9 01:46:47 PM UTC 2025
% Result : Theorem 0.40s 0.61s
% Output : Proof 0.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ITP038^1 : TPTP v9.2.0. Released v7.5.0.
% 0.13/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34 % Computer : n022.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 : Wed Oct 8 18:44:53 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.40/0.61 % SZS status Theorem
% 0.40/0.61 % Mode: mode507:USE_SINE=true:SINE_TOLERANCE=3.0:SINE_GENERALITY_THRESHOLD=0:SINE_RANK_LIMIT=1.:SINE_DEPTH=1
% 0.40/0.61 % Inferences: 56
% 0.40/0.61 % SZS output start Proof
% 0.40/0.61 thf(ty_finite1398487019real_c, type, finite1398487019real_c : $tType).
% 0.40/0.61 thf(ty_a, type, a : $tType).
% 0.40/0.61 thf(ty_set_Sum_sum_c_c, type, set_Sum_sum_c_c : $tType).
% 0.40/0.61 thf(ty_set_Su1783761653um_b_c, type, set_Su1783761653um_b_c : $tType).
% 0.40/0.61 thf(ty_denota231621370t_unit, type, denota231621370t_unit : $tType).
% 0.40/0.61 thf(ty_trm_a_c, type, trm_a_c : $tType).
% 0.40/0.61 thf(ty_produc190496183real_c, type, produc190496183real_c : $tType).
% 0.40/0.61 thf(ty_sum_su737395349um_b_c, type, sum_su737395349um_b_c : $tType).
% 0.40/0.61 thf(ty_set_a, type, set_a : $tType).
% 0.40/0.61 thf(ty_real, type, real : $tType).
% 0.40/0.61 thf(ty_member_a, type, member_a : (a>set_a>$o)).
% 0.40/0.61 thf(ty_denota1997846518gree_c, type, denota1997846518gree_c : (produc190496183real_c>produc190496183real_c>set_Sum_sum_c_c>$o)).
% 0.40/0.61 thf(ty_collec2086029184um_b_c, type, collec2086029184um_b_c : ((sum_su737395349um_b_c>$o)>set_Su1783761653um_b_c)).
% 0.40/0.61 thf(ty_produc314122909real_c, type, produc314122909real_c : (produc190496183real_c>finite1398487019real_c)).
% 0.40/0.61 thf(ty_nu2, type, nu2 : produc190496183real_c).
% 0.40/0.61 thf(ty_j, type, j : denota231621370t_unit).
% 0.40/0.61 thf(ty_t2, type, t2 : trm_a_c).
% 0.40/0.61 thf(ty_i, type, i : denota231621370t_unit).
% 0.40/0.61 thf(ty_t1, type, t1 : trm_a_c).
% 0.40/0.61 thf(ty_produc2010422875real_c, type, produc2010422875real_c : (produc190496183real_c>finite1398487019real_c)).
% 0.40/0.61 thf(ty_sum_In2139678582um_b_c, type, sum_In2139678582um_b_c : (a>sum_su737395349um_b_c)).
% 0.40/0.61 thf(ty_denota229585092_a_b_c, type, denota229585092_a_b_c : (denota231621370t_unit>trm_a_c>finite1398487019real_c>finite1398487019real_c>real)).
% 0.40/0.61 thf(ty_nu, type, nu : produc190496183real_c).
% 0.40/0.61 thf(ty_denota69106024_a_b_c, type, denota69106024_a_b_c : (denota231621370t_unit>denota231621370t_unit>set_Su1783761653um_b_c>$o)).
% 0.40/0.61 thf(ty_static_FVDiff_a_c, type, static_FVDiff_a_c : (trm_a_c>set_Sum_sum_c_c)).
% 0.40/0.61 thf(ty_static_SIGT_a_c, type, static_SIGT_a_c : (trm_a_c>set_a)).
% 0.40/0.61 thf(sP1,plain,sP1 <=> (((denota1997846518gree_c @ nu) @ nu2) @ (static_FVDiff_a_c @ t1)),introduced(definition,[new_symbols(definition,[sP1])])).
% 0.40/0.61 thf(sP2,plain,sP2 <=> (((denota69106024_a_b_c @ i) @ j) @ (collec2086029184um_b_c @ (^[X1:sum_su737395349um_b_c]:(~((![X2:a]:((X1 = (sum_In2139678582um_b_c @ X2)) => (~(((member_a @ X2) @ (static_SIGT_a_c @ t2))))))))))),introduced(definition,[new_symbols(definition,[sP2])])).
% 0.40/0.61 thf(conj_0,conjecture,(((denota1997846518gree_c @ nu) @ nu2) @ (static_FVDiff_a_c @ t2))).
% 0.40/0.61 thf(h0,negated_conjecture,(~((((denota1997846518gree_c @ nu) @ nu2) @ (static_FVDiff_a_c @ t2)))),inference(assume_negation,[status(cth)],[conj_0])).
% 0.40/0.61 thf(h1,assumption,(~(sP1)),introduced(assumption,[])).
% 0.40/0.61 thf(h2,assumption,((((denota69106024_a_b_c @ i) @ j) @ (collec2086029184um_b_c @ (^[X1:sum_su737395349um_b_c]:(~((![X2:a]:((X1 = (sum_In2139678582um_b_c @ X2)) => (~(((member_a @ X2) @ (static_SIGT_a_c @ t1))))))))))) => (((((denota229585092_a_b_c @ i) @ t1) @ (produc2010422875real_c @ nu)) @ (produc314122909real_c @ nu)) = ((((denota229585092_a_b_c @ j) @ t1) @ (produc2010422875real_c @ nu2)) @ (produc314122909real_c @ nu2)))),introduced(assumption,[])).
% 0.40/0.61 thf(h3,assumption,(~((((denota1997846518gree_c @ nu) @ nu2) @ (static_FVDiff_a_c @ t2)))),introduced(assumption,[])).
% 0.40/0.61 thf(h4,assumption,(sP2 => (((((denota229585092_a_b_c @ i) @ t2) @ (produc2010422875real_c @ nu)) @ (produc314122909real_c @ nu)) = ((((denota229585092_a_b_c @ j) @ t2) @ (produc2010422875real_c @ nu2)) @ (produc314122909real_c @ nu2)))),introduced(assumption,[])).
% 0.40/0.61 thf(fact_3_agree1,axiom,sP1).
% 0.40/0.61 thf(1,plain,$false,inference(tab_conflict,[status(thm),assumptions([h3,h1,h0])],[fact_3_agree1,h1])).
% 0.40/0.61 thf(h5,assumption,(~(sP2)),introduced(assumption,[])).
% 0.40/0.61 thf(h6,assumption,(((((denota229585092_a_b_c @ i) @ t2) @ (produc2010422875real_c @ nu)) @ (produc314122909real_c @ nu)) = ((((denota229585092_a_b_c @ j) @ t2) @ (produc2010422875real_c @ nu2)) @ (produc314122909real_c @ nu2))),introduced(assumption,[])).
% 0.40/0.61 thf(fact_34_IA2,axiom,sP2).
% 0.40/0.61 thf(2,plain,$false,inference(tab_conflict,[status(thm),assumptions([h5,h4,h1,h0])],[fact_34_IA2,h5])).
% 0.40/0.61 thf(3,plain,$false,inference(tab_conflict,[status(thm),assumptions([h6,h4,h1,h0])],[fact_3_agree1,h1])).
% 0.40/0.61 thf(4,plain,$false,inference(tab_imp,[status(thm),assumptions([h4,h1,h0]),tab_imp(discharge,[h5]),tab_imp(discharge,[h6])],[h4,2,3,h5,h6])).
% 0.40/0.61 thf(fact_22_IH2,axiom,((((denota1997846518gree_c @ nu) @ nu2) @ (static_FVDiff_a_c @ t2)) => (sP2 => (((((denota229585092_a_b_c @ i) @ t2) @ (produc2010422875real_c @ nu)) @ (produc314122909real_c @ nu)) = ((((denota229585092_a_b_c @ j) @ t2) @ (produc2010422875real_c @ nu2)) @ (produc314122909real_c @ nu2)))))).
% 0.40/0.61 thf(5,plain,$false,inference(tab_imp,[status(thm),assumptions([h1,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h4])],[fact_22_IH2,1,4,h3,h4])).
% 0.40/0.61 thf(h7,assumption,(~((((denota69106024_a_b_c @ i) @ j) @ (collec2086029184um_b_c @ (^[X1:sum_su737395349um_b_c]:(~((![X2:a]:((X1 = (sum_In2139678582um_b_c @ X2)) => (~(((member_a @ X2) @ (static_SIGT_a_c @ t1))))))))))))),introduced(assumption,[])).
% 0.40/0.61 thf(h8,assumption,(((((denota229585092_a_b_c @ i) @ t1) @ (produc2010422875real_c @ nu)) @ (produc314122909real_c @ nu)) = ((((denota229585092_a_b_c @ j) @ t1) @ (produc2010422875real_c @ nu2)) @ (produc314122909real_c @ nu2))),introduced(assumption,[])).
% 0.40/0.61 thf(pax1, axiom, (p1=>![X13:produc190496183real_c, X10:produc190496183real_c, X20:trm_a_c, X18:trm_a_c]:(fdenota1997846518gree_c @ X13 @ X10 @ (fstatic_FVDiff_a_c @ (fplus_a_c @ X20 @ X18))=>fdenota1997846518gree_c @ X13 @ X10 @ (fstatic_FVDiff_a_c @ X18))), file('<stdin>', pax1)).
% 0.40/0.61 thf(pax2, axiom, (p2=>fdenota1997846518gree_c @ fnu @ fnu2 @ (fstatic_FVDiff_a_c @ (fplus_a_c @ ft1 @ ft2))), file('<stdin>', pax2)).
% 0.40/0.61 thf(nax11, axiom, (p11<=fdenota1997846518gree_c @ fnu @ fnu2 @ (fstatic_FVDiff_a_c @ ft2)), file('<stdin>', nax11)).
% 0.40/0.61 thf(ax18, axiom, ~(p11), file('<stdin>', ax18)).
% 0.40/0.61 thf(ax28, axiom, p1, file('<stdin>', ax28)).
% 0.40/0.61 thf(ax27, axiom, p2, file('<stdin>', ax27)).
% 0.40/0.61 thf(c_0_6, plain, ![X109:produc190496183real_c, X110:produc190496183real_c, X111:trm_a_c, X112:trm_a_c]:(~p1|(~fdenota1997846518gree_c @ X109 @ X110 @ (fstatic_FVDiff_a_c @ (fplus_a_c @ X111 @ X112))|fdenota1997846518gree_c @ X109 @ X110 @ (fstatic_FVDiff_a_c @ X112))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax1])])])).
% 0.40/0.61 thf(c_0_7, plain, (~p2|fdenota1997846518gree_c @ fnu @ fnu2 @ (fstatic_FVDiff_a_c @ (fplus_a_c @ ft1 @ ft2))), inference(fof_nnf,[status(thm)],[pax2])).
% 0.40/0.61 thf(c_0_8, plain, (~fdenota1997846518gree_c @ fnu @ fnu2 @ (fstatic_FVDiff_a_c @ ft2)|p11), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax11])])).
% 0.40/0.61 thf(c_0_9, plain, ~p11, inference(fof_simplification,[status(thm)],[ax18])).
% 0.40/0.61 thf(c_0_10, plain, ![X4:produc190496183real_c, X5:produc190496183real_c, X9:trm_a_c, X17:trm_a_c]:(fdenota1997846518gree_c @ X4 @ X5 @ (fstatic_FVDiff_a_c @ X17)|~p1|~fdenota1997846518gree_c @ X4 @ X5 @ (fstatic_FVDiff_a_c @ (fplus_a_c @ X9 @ X17))), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.40/0.61 thf(c_0_11, plain, p1, inference(split_conjunct,[status(thm)],[ax28])).
% 0.40/0.61 thf(c_0_12, plain, (fdenota1997846518gree_c @ fnu @ fnu2 @ (fstatic_FVDiff_a_c @ (fplus_a_c @ ft1 @ ft2))|~p2), inference(split_conjunct,[status(thm)],[c_0_7])).
% 0.40/0.61 thf(c_0_13, plain, p2, inference(split_conjunct,[status(thm)],[ax27])).
% 0.40/0.61 thf(c_0_14, plain, (p11|~fdenota1997846518gree_c @ fnu @ fnu2 @ (fstatic_FVDiff_a_c @ ft2)), inference(split_conjunct,[status(thm)],[c_0_8])).
% 0.40/0.61 thf(c_0_15, plain, ~p11, inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.40/0.61 thf(c_0_16, plain, ![X4:produc190496183real_c, X5:produc190496183real_c, X17:trm_a_c, X9:trm_a_c]:(fdenota1997846518gree_c @ X4 @ X5 @ (fstatic_FVDiff_a_c @ X9)|~fdenota1997846518gree_c @ X4 @ X5 @ (fstatic_FVDiff_a_c @ (fplus_a_c @ X17 @ X9))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10, c_0_11])])).
% 0.40/0.61 thf(c_0_17, plain, fdenota1997846518gree_c @ fnu @ fnu2 @ (fstatic_FVDiff_a_c @ (fplus_a_c @ ft1 @ ft2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12, c_0_13])])).
% 0.40/0.61 thf(c_0_18, plain, ~fdenota1997846518gree_c @ fnu @ fnu2 @ (fstatic_FVDiff_a_c @ ft2), inference(sr,[status(thm)],[c_0_14, c_0_15])).
% 0.40/0.61 thf(c_0_19, plain, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_17]), c_0_18]), ['proof']).
% 0.40/0.61 thf(6,plain,$false,inference(eprover,[status(thm),assumptions([h3,h7,h2,h0])],[])).
% 0.40/0.61 thf(7,plain,$false,inference(tab_conflict,[status(thm),assumptions([h5,h4,h7,h2,h0])],[fact_34_IA2,h5])).
% 0.40/0.61 thf(pax1, axiom, (p1=>![X22:produc190496183real_c, X19:produc190496183real_c, X29:trm_a_c, X27:trm_a_c]:(fdenota1997846518gree_c @ X22 @ X19 @ (fstatic_FVDiff_a_c @ (fplus_a_c @ X29 @ X27))=>fdenota1997846518gree_c @ X22 @ X19 @ (fstatic_FVDiff_a_c @ X27))), file('<stdin>', pax1)).
% 0.40/0.61 thf(pax2, axiom, (p2=>fdenota1997846518gree_c @ fnu @ fnu2 @ (fstatic_FVDiff_a_c @ (fplus_a_c @ ft1 @ ft2))), file('<stdin>', pax2)).
% 0.40/0.61 thf(nax11, axiom, (p11<=fdenota1997846518gree_c @ fnu @ fnu2 @ (fstatic_FVDiff_a_c @ ft2)), file('<stdin>', nax11)).
% 0.40/0.61 thf(ax21, axiom, ~(p11), file('<stdin>', ax21)).
% 0.40/0.61 thf(ax41, axiom, p1, file('<stdin>', ax41)).
% 0.40/0.61 thf(ax40, axiom, p2, file('<stdin>', ax40)).
% 0.40/0.61 thf(c_0_6, plain, ![X152:produc190496183real_c, X153:produc190496183real_c, X154:trm_a_c, X155:trm_a_c]:(~p1|(~fdenota1997846518gree_c @ X152 @ X153 @ (fstatic_FVDiff_a_c @ (fplus_a_c @ X154 @ X155))|fdenota1997846518gree_c @ X152 @ X153 @ (fstatic_FVDiff_a_c @ X155))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax1])])])).
% 0.40/0.61 thf(c_0_7, plain, (~p2|fdenota1997846518gree_c @ fnu @ fnu2 @ (fstatic_FVDiff_a_c @ (fplus_a_c @ ft1 @ ft2))), inference(fof_nnf,[status(thm)],[pax2])).
% 0.40/0.61 thf(c_0_8, plain, (~fdenota1997846518gree_c @ fnu @ fnu2 @ (fstatic_FVDiff_a_c @ ft2)|p11), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax11])])).
% 0.40/0.61 thf(c_0_9, plain, ~p11, inference(fof_simplification,[status(thm)],[ax21])).
% 0.40/0.61 thf(c_0_10, plain, ![X1:produc190496183real_c, X7:produc190496183real_c, X18:trm_a_c, X26:trm_a_c]:(fdenota1997846518gree_c @ X1 @ X7 @ (fstatic_FVDiff_a_c @ X26)|~p1|~fdenota1997846518gree_c @ X1 @ X7 @ (fstatic_FVDiff_a_c @ (fplus_a_c @ X18 @ X26))), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.40/0.61 thf(c_0_11, plain, p1, inference(split_conjunct,[status(thm)],[ax41])).
% 0.40/0.61 thf(c_0_12, plain, (fdenota1997846518gree_c @ fnu @ fnu2 @ (fstatic_FVDiff_a_c @ (fplus_a_c @ ft1 @ ft2))|~p2), inference(split_conjunct,[status(thm)],[c_0_7])).
% 0.40/0.61 thf(c_0_13, plain, p2, inference(split_conjunct,[status(thm)],[ax40])).
% 0.40/0.61 thf(c_0_14, plain, (p11|~fdenota1997846518gree_c @ fnu @ fnu2 @ (fstatic_FVDiff_a_c @ ft2)), inference(split_conjunct,[status(thm)],[c_0_8])).
% 0.40/0.61 thf(c_0_15, plain, ~p11, inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.40/0.61 thf(c_0_16, plain, ![X1:produc190496183real_c, X7:produc190496183real_c, X26:trm_a_c, X18:trm_a_c]:(fdenota1997846518gree_c @ X1 @ X7 @ (fstatic_FVDiff_a_c @ X18)|~fdenota1997846518gree_c @ X1 @ X7 @ (fstatic_FVDiff_a_c @ (fplus_a_c @ X26 @ X18))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10, c_0_11])])).
% 0.40/0.61 thf(c_0_17, plain, fdenota1997846518gree_c @ fnu @ fnu2 @ (fstatic_FVDiff_a_c @ (fplus_a_c @ ft1 @ ft2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12, c_0_13])])).
% 0.40/0.61 thf(c_0_18, plain, ~fdenota1997846518gree_c @ fnu @ fnu2 @ (fstatic_FVDiff_a_c @ ft2), inference(sr,[status(thm)],[c_0_14, c_0_15])).
% 0.40/0.61 thf(c_0_19, plain, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_17]), c_0_18]), ['proof']).
% 0.40/0.61 thf(8,plain,$false,inference(eprover,[status(thm),assumptions([h6,h4,h7,h2,h0])],[])).
% 0.40/0.61 thf(9,plain,$false,inference(tab_imp,[status(thm),assumptions([h4,h7,h2,h0]),tab_imp(discharge,[h5]),tab_imp(discharge,[h6])],[h4,7,8,h5,h6])).
% 0.40/0.61 thf(10,plain,$false,inference(tab_imp,[status(thm),assumptions([h7,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h4])],[fact_22_IH2,6,9,h3,h4])).
% 0.40/0.61 thf(pax1, axiom, (p1=>![X26:produc190496183real_c, X23:produc190496183real_c, X33:trm_a_c, X31:trm_a_c]:(fdenota1997846518gree_c @ X26 @ X23 @ (fstatic_FVDiff_a_c @ (fplus_a_c @ X33 @ X31))=>fdenota1997846518gree_c @ X26 @ X23 @ (fstatic_FVDiff_a_c @ X31))), file('<stdin>', pax1)).
% 0.40/0.61 thf(pax2, axiom, (p2=>fdenota1997846518gree_c @ fnu @ fnu2 @ (fstatic_FVDiff_a_c @ (fplus_a_c @ ft1 @ ft2))), file('<stdin>', pax2)).
% 0.40/0.61 thf(nax11, axiom, (p11<=fdenota1997846518gree_c @ fnu @ fnu2 @ (fstatic_FVDiff_a_c @ ft2)), file('<stdin>', nax11)).
% 0.40/0.61 thf(ax32, axiom, ~(p11), file('<stdin>', ax32)).
% 0.40/0.61 thf(ax42, axiom, p1, file('<stdin>', ax42)).
% 0.40/0.61 thf(ax41, axiom, p2, file('<stdin>', ax41)).
% 0.40/0.61 thf(c_0_6, plain, ![X186:produc190496183real_c, X187:produc190496183real_c, X188:trm_a_c, X189:trm_a_c]:(~p1|(~fdenota1997846518gree_c @ X186 @ X187 @ (fstatic_FVDiff_a_c @ (fplus_a_c @ X188 @ X189))|fdenota1997846518gree_c @ X186 @ X187 @ (fstatic_FVDiff_a_c @ X189))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax1])])])).
% 0.40/0.61 thf(c_0_7, plain, (~p2|fdenota1997846518gree_c @ fnu @ fnu2 @ (fstatic_FVDiff_a_c @ (fplus_a_c @ ft1 @ ft2))), inference(fof_nnf,[status(thm)],[pax2])).
% 0.40/0.61 thf(c_0_8, plain, (~fdenota1997846518gree_c @ fnu @ fnu2 @ (fstatic_FVDiff_a_c @ ft2)|p11), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax11])])).
% 0.40/0.61 thf(c_0_9, plain, ~p11, inference(fof_simplification,[status(thm)],[ax32])).
% 0.40/0.61 thf(c_0_10, plain, ![X1:produc190496183real_c, X2:trm_a_c, X8:produc190496183real_c, X3:trm_a_c]:(fdenota1997846518gree_c @ X1 @ X8 @ (fstatic_FVDiff_a_c @ X3)|~p1|~fdenota1997846518gree_c @ X1 @ X8 @ (fstatic_FVDiff_a_c @ (fplus_a_c @ X2 @ X3))), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.40/0.61 thf(c_0_11, plain, p1, inference(split_conjunct,[status(thm)],[ax42])).
% 0.40/0.61 thf(c_0_12, plain, (fdenota1997846518gree_c @ fnu @ fnu2 @ (fstatic_FVDiff_a_c @ (fplus_a_c @ ft1 @ ft2))|~p2), inference(split_conjunct,[status(thm)],[c_0_7])).
% 0.40/0.61 thf(c_0_13, plain, p2, inference(split_conjunct,[status(thm)],[ax41])).
% 0.40/0.61 thf(c_0_14, plain, (p11|~fdenota1997846518gree_c @ fnu @ fnu2 @ (fstatic_FVDiff_a_c @ ft2)), inference(split_conjunct,[status(thm)],[c_0_8])).
% 0.40/0.61 thf(c_0_15, plain, ~p11, inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.40/0.61 thf(c_0_16, plain, ![X1:produc190496183real_c, X8:produc190496183real_c, X3:trm_a_c, X2:trm_a_c]:(fdenota1997846518gree_c @ X1 @ X8 @ (fstatic_FVDiff_a_c @ X2)|~fdenota1997846518gree_c @ X1 @ X8 @ (fstatic_FVDiff_a_c @ (fplus_a_c @ X3 @ X2))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10, c_0_11])])).
% 0.40/0.61 thf(c_0_17, plain, fdenota1997846518gree_c @ fnu @ fnu2 @ (fstatic_FVDiff_a_c @ (fplus_a_c @ ft1 @ ft2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12, c_0_13])])).
% 0.40/0.61 thf(c_0_18, plain, ~fdenota1997846518gree_c @ fnu @ fnu2 @ (fstatic_FVDiff_a_c @ ft2), inference(sr,[status(thm)],[c_0_14, c_0_15])).
% 0.40/0.61 thf(c_0_19, plain, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_17]), c_0_18]), ['proof']).
% 0.40/0.61 thf(11,plain,$false,inference(eprover,[status(thm),assumptions([h3,h8,h2,h0])],[])).
% 0.40/0.61 thf(12,plain,$false,inference(tab_conflict,[status(thm),assumptions([h5,h4,h8,h2,h0])],[fact_34_IA2,h5])).
% 0.40/0.61 thf(pax1, axiom, (p1=>![X30:produc190496183real_c, X27:produc190496183real_c, X37:trm_a_c, X35:trm_a_c]:(fdenota1997846518gree_c @ X30 @ X27 @ (fstatic_FVDiff_a_c @ (fplus_a_c @ X37 @ X35))=>fdenota1997846518gree_c @ X30 @ X27 @ (fstatic_FVDiff_a_c @ X35))), file('<stdin>', pax1)).
% 0.40/0.61 thf(pax2, axiom, (p2=>fdenota1997846518gree_c @ fnu @ fnu2 @ (fstatic_FVDiff_a_c @ (fplus_a_c @ ft1 @ ft2))), file('<stdin>', pax2)).
% 0.40/0.61 thf(nax11, axiom, (p11<=fdenota1997846518gree_c @ fnu @ fnu2 @ (fstatic_FVDiff_a_c @ ft2)), file('<stdin>', nax11)).
% 0.40/0.61 thf(ax40, axiom, ~(p11), file('<stdin>', ax40)).
% 0.40/0.61 thf(ax60, axiom, p1, file('<stdin>', ax60)).
% 0.40/0.61 thf(ax59, axiom, p2, file('<stdin>', ax59)).
% 0.40/0.61 thf(c_0_6, plain, ![X218:produc190496183real_c, X219:produc190496183real_c, X220:trm_a_c, X221:trm_a_c]:(~p1|(~fdenota1997846518gree_c @ X218 @ X219 @ (fstatic_FVDiff_a_c @ (fplus_a_c @ X220 @ X221))|fdenota1997846518gree_c @ X218 @ X219 @ (fstatic_FVDiff_a_c @ X221))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax1])])])).
% 0.40/0.61 thf(c_0_7, plain, (~p2|fdenota1997846518gree_c @ fnu @ fnu2 @ (fstatic_FVDiff_a_c @ (fplus_a_c @ ft1 @ ft2))), inference(fof_nnf,[status(thm)],[pax2])).
% 0.40/0.61 thf(c_0_8, plain, (~fdenota1997846518gree_c @ fnu @ fnu2 @ (fstatic_FVDiff_a_c @ ft2)|p11), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax11])])).
% 0.40/0.61 thf(c_0_9, plain, ~p11, inference(fof_simplification,[status(thm)],[ax40])).
% 0.40/0.61 thf(c_0_10, plain, ![X1:produc190496183real_c, X2:trm_a_c, X6:produc190496183real_c, X3:trm_a_c]:(fdenota1997846518gree_c @ X1 @ X6 @ (fstatic_FVDiff_a_c @ X3)|~p1|~fdenota1997846518gree_c @ X1 @ X6 @ (fstatic_FVDiff_a_c @ (fplus_a_c @ X2 @ X3))), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.40/0.61 thf(c_0_11, plain, p1, inference(split_conjunct,[status(thm)],[ax60])).
% 0.40/0.61 thf(c_0_12, plain, (fdenota1997846518gree_c @ fnu @ fnu2 @ (fstatic_FVDiff_a_c @ (fplus_a_c @ ft1 @ ft2))|~p2), inference(split_conjunct,[status(thm)],[c_0_7])).
% 0.40/0.61 thf(c_0_13, plain, p2, inference(split_conjunct,[status(thm)],[ax59])).
% 0.40/0.61 thf(c_0_14, plain, (p11|~fdenota1997846518gree_c @ fnu @ fnu2 @ (fstatic_FVDiff_a_c @ ft2)), inference(split_conjunct,[status(thm)],[c_0_8])).
% 0.40/0.61 thf(c_0_15, plain, ~p11, inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.40/0.61 thf(c_0_16, plain, ![X1:produc190496183real_c, X6:produc190496183real_c, X3:trm_a_c, X2:trm_a_c]:(fdenota1997846518gree_c @ X1 @ X6 @ (fstatic_FVDiff_a_c @ X2)|~fdenota1997846518gree_c @ X1 @ X6 @ (fstatic_FVDiff_a_c @ (fplus_a_c @ X3 @ X2))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10, c_0_11])])).
% 0.40/0.61 thf(c_0_17, plain, fdenota1997846518gree_c @ fnu @ fnu2 @ (fstatic_FVDiff_a_c @ (fplus_a_c @ ft1 @ ft2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12, c_0_13])])).
% 0.40/0.61 thf(c_0_18, plain, ~fdenota1997846518gree_c @ fnu @ fnu2 @ (fstatic_FVDiff_a_c @ ft2), inference(sr,[status(thm)],[c_0_14, c_0_15])).
% 0.40/0.61 thf(c_0_19, plain, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_17]), c_0_18]), ['proof']).
% 0.40/0.61 thf(13,plain,$false,inference(eprover,[status(thm),assumptions([h6,h4,h8,h2,h0])],[])).
% 0.40/0.61 thf(14,plain,$false,inference(tab_imp,[status(thm),assumptions([h4,h8,h2,h0]),tab_imp(discharge,[h5]),tab_imp(discharge,[h6])],[h4,12,13,h5,h6])).
% 0.40/0.61 thf(15,plain,$false,inference(tab_imp,[status(thm),assumptions([h8,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h4])],[fact_22_IH2,11,14,h3,h4])).
% 0.40/0.61 thf(16,plain,$false,inference(tab_imp,[status(thm),assumptions([h2,h0]),tab_imp(discharge,[h7]),tab_imp(discharge,[h8])],[h2,10,15,h7,h8])).
% 0.40/0.61 thf(fact_35_IH1,axiom,(sP1 => ((((denota69106024_a_b_c @ i) @ j) @ (collec2086029184um_b_c @ (^[X1:sum_su737395349um_b_c]:(~((![X2:a]:((X1 = (sum_In2139678582um_b_c @ X2)) => (~(((member_a @ X2) @ (static_SIGT_a_c @ t1))))))))))) => (((((denota229585092_a_b_c @ i) @ t1) @ (produc2010422875real_c @ nu)) @ (produc314122909real_c @ nu)) = ((((denota229585092_a_b_c @ j) @ t1) @ (produc2010422875real_c @ nu2)) @ (produc314122909real_c @ nu2)))))).
% 0.40/0.61 thf(17,plain,$false,inference(tab_imp,[status(thm),assumptions([h0]),tab_imp(discharge,[h1]),tab_imp(discharge,[h2])],[fact_35_IH1,5,16,h1,h2])).
% 0.40/0.61 thf(0,theorem,(((denota1997846518gree_c @ nu) @ nu2) @ (static_FVDiff_a_c @ t2)),inference(contra,[status(thm),contra(discharge,[h0])],[17,h0])).
% 0.40/0.61 % SZS output end Proof
%------------------------------------------------------------------------------