%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : ITP122^1 : 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 : n009.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 01:47:02 PM UTC 2025
% Result : Theorem 165.63s 164.15s
% Output : Proof 165.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ITP122^1 : TPTP v9.2.0. Released v7.5.0.
% 0.06/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Oct 8 18:36:23 EDT 2025
% 0.12/0.34 % CPUTime :
% 165.63/164.15 % SZS status Theorem
% 165.63/164.15 % Mode: mode500:USE_SINE=true:SINE_TOLERANCE=1.0:SINE_GENERALITY_THRESHOLD=16:SINE_RANK_LIMIT=2.:SINE_DEPTH=0
% 165.63/164.15 % Inferences: 0
% 165.63/164.15 % SZS output start Proof
% 165.63/164.15 thf(conj_1,conjecture,(((sup @ (((((modula17988509_aux_a @ inf) @ sup) @ c) @ a2) @ b)) @ (((((modula17988509_aux_a @ inf) @ sup) @ a2) @ b) @ c)) = (((((modula1144073633_aux_a @ inf) @ sup) @ a2) @ b) @ c))).
% 165.63/164.15 thf(h0,negated_conjecture,(~((((sup @ (((((modula17988509_aux_a @ inf) @ sup) @ c) @ a2) @ b)) @ (((((modula17988509_aux_a @ inf) @ sup) @ a2) @ b) @ c)) = (((((modula1144073633_aux_a @ inf) @ sup) @ a2) @ b) @ c)))),inference(assume_negation,[status(cth)],[conj_1])).
% 165.63/164.15 thf(pax14, axiom, (p14=>![X8:a, X2:a, X3:a]:(fmodula1373251614_aux_a @ finf @ fsup @ X8 @ X2 @ X3)=(fmodula17988509_aux_a @ finf @ fsup @ X2 @ X3 @ X8)), file('<stdin>', pax14)).
% 165.63/164.15 thf(pax18, axiom, (p18=>![X8:a, X2:a, X3:a]:(fmodula581031071_aux_a @ finf @ fsup @ X8 @ X2 @ X3)=(fmodula17988509_aux_a @ finf @ fsup @ X3 @ X8 @ X2)), file('<stdin>', pax18)).
% 165.63/164.15 thf(nax1, axiom, (p1<=(fsup @ (fmodula17988509_aux_a @ finf @ fsup @ fc @ fa2 @ fb) @ (fmodula17988509_aux_a @ finf @ fsup @ fa2 @ fb @ fc))=(fmodula1144073633_aux_a @ finf @ fsup @ fa2 @ fb @ fc)), file('<stdin>', nax1)).
% 165.63/164.15 thf(ax50, axiom, ~(p1), file('<stdin>', ax50)).
% 165.63/164.15 thf(pax6, axiom, (p6=>![X8:a, X2:a, X3:a]:(fless_eq @ (fmodula1936294176_aux_a @ finf @ fsup @ X8 @ X2 @ X3) @ (fmodula1144073633_aux_a @ finf @ fsup @ X8 @ X2 @ X3)=>(fsup @ (fmodula1373251614_aux_a @ finf @ fsup @ X8 @ X2 @ X3) @ (fmodula581031071_aux_a @ finf @ fsup @ X8 @ X2 @ X3))=(fmodula1144073633_aux_a @ finf @ fsup @ X8 @ X2 @ X3))), file('<stdin>', pax6)).
% 165.63/164.15 thf(ax37, axiom, p14, file('<stdin>', ax37)).
% 165.63/164.15 thf(ax33, axiom, p18, file('<stdin>', ax33)).
% 165.63/164.15 thf(pax36, axiom, (p36=>![X8:a, X2:a, X3:a]:(fmodula1144073633_aux_a @ finf @ fsup @ X8 @ X2 @ X3)=(fmodula1144073633_aux_a @ finf @ fsup @ X3 @ X8 @ X2)), file('<stdin>', pax36)).
% 165.63/164.15 thf(pax42, axiom, (p42=>![X8:a, X2:a, X3:a]:(fmodula1936294176_aux_a @ finf @ fsup @ X8 @ X2 @ X3)=(fmodula1936294176_aux_a @ finf @ fsup @ X3 @ X8 @ X2)), file('<stdin>', pax42)).
% 165.63/164.15 thf(pax2, axiom, (p2=>fless_eq @ (fmodula1936294176_aux_a @ finf @ fsup @ fa2 @ fb @ fc) @ (fmodula1144073633_aux_a @ finf @ fsup @ fa2 @ fb @ fc)), file('<stdin>', pax2)).
% 165.63/164.15 thf(ax45, axiom, p6, file('<stdin>', ax45)).
% 165.63/164.15 thf(ax15, axiom, p36, file('<stdin>', ax15)).
% 165.63/164.15 thf(ax9, axiom, p42, file('<stdin>', ax9)).
% 165.63/164.15 thf(ax49, axiom, p2, file('<stdin>', ax49)).
% 165.63/164.15 thf(c_0_14, plain, ![X229:a, X230:a, X231:a]:(~p14|(fmodula1373251614_aux_a @ finf @ fsup @ X229 @ X230 @ X231)=(fmodula17988509_aux_a @ finf @ fsup @ X230 @ X231 @ X229)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax14])])])).
% 165.63/164.15 thf(c_0_15, plain, ![X205:a, X206:a, X207:a]:(~p18|(fmodula581031071_aux_a @ finf @ fsup @ X205 @ X206 @ X207)=(fmodula17988509_aux_a @ finf @ fsup @ X207 @ X205 @ X206)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax18])])])).
% 165.63/164.15 thf(c_0_16, plain, ((fsup @ (fmodula17988509_aux_a @ finf @ fsup @ fc @ fa2 @ fb) @ (fmodula17988509_aux_a @ finf @ fsup @ fa2 @ fb @ fc))!=(fmodula1144073633_aux_a @ finf @ fsup @ fa2 @ fb @ fc)|p1), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax1])])).
% 165.63/164.15 thf(c_0_17, plain, ~p1, inference(fof_simplification,[status(thm)],[ax50])).
% 165.63/164.15 thf(c_0_18, plain, ![X259:a, X260:a, X261:a]:(~p6|(~fless_eq @ (fmodula1936294176_aux_a @ finf @ fsup @ X259 @ X260 @ X261) @ (fmodula1144073633_aux_a @ finf @ fsup @ X259 @ X260 @ X261)|(fsup @ (fmodula1373251614_aux_a @ finf @ fsup @ X259 @ X260 @ X261) @ (fmodula581031071_aux_a @ finf @ fsup @ X259 @ X260 @ X261))=(fmodula1144073633_aux_a @ finf @ fsup @ X259 @ X260 @ X261))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax6])])])).
% 165.63/164.15 thf(c_0_19, plain, ![X3:a, X2:a, X1:a]:((fmodula1373251614_aux_a @ finf @ fsup @ X1 @ X2 @ X3)=(fmodula17988509_aux_a @ finf @ fsup @ X2 @ X3 @ X1)|~p14), inference(split_conjunct,[status(thm)],[c_0_14])).
% 165.63/164.15 thf(c_0_20, plain, p14, inference(split_conjunct,[status(thm)],[ax37])).
% 165.63/164.15 thf(c_0_21, plain, ![X1:a, X3:a, X2:a]:((fmodula581031071_aux_a @ finf @ fsup @ X1 @ X2 @ X3)=(fmodula17988509_aux_a @ finf @ fsup @ X3 @ X1 @ X2)|~p18), inference(split_conjunct,[status(thm)],[c_0_15])).
% 165.63/164.15 thf(c_0_22, plain, p18, inference(split_conjunct,[status(thm)],[ax33])).
% 165.63/164.15 thf(c_0_23, plain, ![X133:a, X134:a, X135:a]:(~p36|(fmodula1144073633_aux_a @ finf @ fsup @ X133 @ X134 @ X135)=(fmodula1144073633_aux_a @ finf @ fsup @ X135 @ X133 @ X134)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax36])])])).
% 165.63/164.15 thf(c_0_24, plain, ![X97:a, X98:a, X99:a]:(~p42|(fmodula1936294176_aux_a @ finf @ fsup @ X97 @ X98 @ X99)=(fmodula1936294176_aux_a @ finf @ fsup @ X99 @ X97 @ X98)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax42])])])).
% 165.63/164.15 thf(c_0_25, plain, (~p2|fless_eq @ (fmodula1936294176_aux_a @ finf @ fsup @ fa2 @ fb @ fc) @ (fmodula1144073633_aux_a @ finf @ fsup @ fa2 @ fb @ fc)), inference(fof_nnf,[status(thm)],[pax2])).
% 165.63/164.15 thf(c_0_26, plain, (p1|(fsup @ (fmodula17988509_aux_a @ finf @ fsup @ fc @ fa2 @ fb) @ (fmodula17988509_aux_a @ finf @ fsup @ fa2 @ fb @ fc))!=(fmodula1144073633_aux_a @ finf @ fsup @ fa2 @ fb @ fc)), inference(split_conjunct,[status(thm)],[c_0_16])).
% 165.63/164.15 thf(c_0_27, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_17])).
% 165.63/164.15 thf(c_0_28, plain, ![X1:a, X2:a, X3:a]:((fsup @ (fmodula1373251614_aux_a @ finf @ fsup @ X1 @ X2 @ X3) @ (fmodula581031071_aux_a @ finf @ fsup @ X1 @ X2 @ X3))=(fmodula1144073633_aux_a @ finf @ fsup @ X1 @ X2 @ X3)|~p6|~fless_eq @ (fmodula1936294176_aux_a @ finf @ fsup @ X1 @ X2 @ X3) @ (fmodula1144073633_aux_a @ finf @ fsup @ X1 @ X2 @ X3)), inference(split_conjunct,[status(thm)],[c_0_18])).
% 165.63/164.15 thf(c_0_29, plain, ![X3:a, X2:a, X1:a]:(fmodula1373251614_aux_a @ finf @ fsup @ X1 @ X2 @ X3)=(fmodula17988509_aux_a @ finf @ fsup @ X2 @ X3 @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19, c_0_20])])).
% 165.63/164.15 thf(c_0_30, plain, ![X1:a, X3:a, X2:a]:(fmodula581031071_aux_a @ finf @ fsup @ X1 @ X2 @ X3)=(fmodula17988509_aux_a @ finf @ fsup @ X3 @ X1 @ X2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21, c_0_22])])).
% 165.63/164.15 thf(c_0_31, plain, p6, inference(split_conjunct,[status(thm)],[ax45])).
% 165.63/164.15 thf(c_0_32, plain, ![X1:a, X3:a, X2:a]:((fmodula1144073633_aux_a @ finf @ fsup @ X1 @ X2 @ X3)=(fmodula1144073633_aux_a @ finf @ fsup @ X3 @ X1 @ X2)|~p36), inference(split_conjunct,[status(thm)],[c_0_23])).
% 165.63/164.15 thf(c_0_33, plain, p36, inference(split_conjunct,[status(thm)],[ax15])).
% 165.63/164.15 thf(c_0_34, plain, ![X1:a, X3:a, X2:a]:((fmodula1936294176_aux_a @ finf @ fsup @ X1 @ X2 @ X3)=(fmodula1936294176_aux_a @ finf @ fsup @ X3 @ X1 @ X2)|~p42), inference(split_conjunct,[status(thm)],[c_0_24])).
% 165.63/164.15 thf(c_0_35, plain, p42, inference(split_conjunct,[status(thm)],[ax9])).
% 165.63/164.15 thf(c_0_36, plain, (fless_eq @ (fmodula1936294176_aux_a @ finf @ fsup @ fa2 @ fb @ fc) @ (fmodula1144073633_aux_a @ finf @ fsup @ fa2 @ fb @ fc)|~p2), inference(split_conjunct,[status(thm)],[c_0_25])).
% 165.63/164.15 thf(c_0_37, plain, p2, inference(split_conjunct,[status(thm)],[ax49])).
% 165.63/164.15 thf(c_0_38, plain, (fsup @ (fmodula17988509_aux_a @ finf @ fsup @ fc @ fa2 @ fb) @ (fmodula17988509_aux_a @ finf @ fsup @ fa2 @ fb @ fc))!=(fmodula1144073633_aux_a @ finf @ fsup @ fa2 @ fb @ fc), inference(sr,[status(thm)],[c_0_26, c_0_27])).
% 165.63/164.15 thf(c_0_39, plain, ![X1:a, X3:a, X2:a]:((fsup @ (fmodula17988509_aux_a @ finf @ fsup @ X1 @ X2 @ X3) @ (fmodula17988509_aux_a @ finf @ fsup @ X2 @ X3 @ X1))=(fmodula1144073633_aux_a @ finf @ fsup @ X3 @ X1 @ X2)|~fless_eq @ (fmodula1936294176_aux_a @ finf @ fsup @ X3 @ X1 @ X2) @ (fmodula1144073633_aux_a @ finf @ fsup @ X3 @ X1 @ X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28, c_0_29]), c_0_30]), c_0_31])])).
% 165.63/164.15 thf(c_0_40, plain, ![X1:a, X3:a, X2:a]:(fmodula1144073633_aux_a @ finf @ fsup @ X1 @ X2 @ X3)=(fmodula1144073633_aux_a @ finf @ fsup @ X3 @ X1 @ X2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32, c_0_33])])).
% 165.63/164.15 thf(c_0_41, plain, ![X1:a, X3:a, X2:a]:(fmodula1936294176_aux_a @ finf @ fsup @ X1 @ X2 @ X3)=(fmodula1936294176_aux_a @ finf @ fsup @ X3 @ X1 @ X2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34, c_0_35])])).
% 165.63/164.15 thf(c_0_42, plain, fless_eq @ (fmodula1936294176_aux_a @ finf @ fsup @ fa2 @ fb @ fc) @ (fmodula1144073633_aux_a @ finf @ fsup @ fa2 @ fb @ fc), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36, c_0_37])])).
% 165.63/164.15 thf(c_0_43, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_39]), c_0_40]), c_0_41]), c_0_40]), c_0_42])]), ['proof']).
% 165.63/164.15 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 165.63/164.15 thf(0,theorem,(((sup @ (((((modula17988509_aux_a @ inf) @ sup) @ c) @ a2) @ b)) @ (((((modula17988509_aux_a @ inf) @ sup) @ a2) @ b) @ c)) = (((((modula1144073633_aux_a @ inf) @ sup) @ a2) @ b) @ c)),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 165.63/164.15 % SZS output end Proof
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