%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : CSR140^2 : TPTP v9.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n010.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 01:24:03 PM UTC 2025
% Result : Theorem 0.13s 0.41s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : CSR140^2 : TPTP v9.2.0. Released v4.1.0.
% 0.07/0.14 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.35 % Computer : n010.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 8 17:12:38 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.41 % SZS status Theorem
% 0.13/0.41 % Mode: mode507:USE_SINE=true:SINE_TOLERANCE=3.0:SINE_GENERALITY_THRESHOLD=0:SINE_RANK_LIMIT=1.:SINE_DEPTH=1
% 0.13/0.41 % Inferences: 10
% 0.13/0.41 % SZS output start Proof
% 0.13/0.41 thf(con,conjecture,(~((![X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(((X1 @ X2) @ lAnna_THFTYPE_i) => ((X1 @ X3) @ lAnna_THFTYPE_i)))))))).
% 0.13/0.41 thf(h0,negated_conjecture,(![X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(((X1 @ X2) @ lAnna_THFTYPE_i) => ((X1 @ X3) @ lAnna_THFTYPE_i))))),inference(assume_negation,[status(cth)],[con])).
% 0.13/0.41 thf(ax4, axiom, (~(p4)|p5), file('<stdin>', ax4)).
% 0.13/0.41 thf(ax1, axiom, (~(p5)|p9), file('<stdin>', ax1)).
% 0.13/0.41 thf(ax5, axiom, p4, file('<stdin>', ax5)).
% 0.13/0.41 thf(pax2, axiom, (p2=>fparent_THFTYPE_IiioI @ flSue_THFTYPE_i @ flAnna_THFTYPE_i), file('<stdin>', pax2)).
% 0.13/0.41 thf(nax3, axiom, (p3<=fparent_THFTYPE_IiioI @ flBob_THFTYPE_i @ flAnna_THFTYPE_i), file('<stdin>', nax3)).
% 0.13/0.41 thf(ax6, axiom, ~(p3), file('<stdin>', ax6)).
% 0.13/0.41 thf(pax9, axiom, (p9=>![X1:$i]:(fparent_THFTYPE_IiioI @ flSue_THFTYPE_i @ flAnna_THFTYPE_i=>fparent_THFTYPE_IiioI @ X1 @ flAnna_THFTYPE_i)), file('<stdin>', pax9)).
% 0.13/0.41 thf(ax7, axiom, p2, file('<stdin>', ax7)).
% 0.13/0.41 thf(c_0_8, plain, (~p4|p5), inference(fof_simplification,[status(thm)],[ax4])).
% 0.13/0.41 thf(c_0_9, plain, (~p5|p9), inference(fof_simplification,[status(thm)],[ax1])).
% 0.13/0.41 thf(c_0_10, plain, (p5|~p4), inference(split_conjunct,[status(thm)],[c_0_8])).
% 0.13/0.41 thf(c_0_11, plain, p4, inference(split_conjunct,[status(thm)],[ax5])).
% 0.13/0.41 thf(c_0_12, plain, (~p2|fparent_THFTYPE_IiioI @ flSue_THFTYPE_i @ flAnna_THFTYPE_i), inference(fof_nnf,[status(thm)],[pax2])).
% 0.13/0.41 thf(c_0_13, plain, (~fparent_THFTYPE_IiioI @ flBob_THFTYPE_i @ flAnna_THFTYPE_i|p3), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax3])])).
% 0.13/0.41 thf(c_0_14, plain, ~p3, inference(fof_simplification,[status(thm)],[ax6])).
% 0.13/0.41 thf(c_0_15, plain, ![X7:$i]:(~p9|(~fparent_THFTYPE_IiioI @ flSue_THFTYPE_i @ flAnna_THFTYPE_i|fparent_THFTYPE_IiioI @ X7 @ flAnna_THFTYPE_i)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax9])])])).
% 0.13/0.41 thf(c_0_16, plain, (p9|~p5), inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.13/0.41 thf(c_0_17, plain, p5, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10, c_0_11])])).
% 0.13/0.41 thf(c_0_18, plain, (fparent_THFTYPE_IiioI @ flSue_THFTYPE_i @ flAnna_THFTYPE_i|~p2), inference(split_conjunct,[status(thm)],[c_0_12])).
% 0.13/0.41 thf(c_0_19, plain, p2, inference(split_conjunct,[status(thm)],[ax7])).
% 0.13/0.41 thf(c_0_20, plain, (p3|~fparent_THFTYPE_IiioI @ flBob_THFTYPE_i @ flAnna_THFTYPE_i), inference(split_conjunct,[status(thm)],[c_0_13])).
% 0.13/0.41 thf(c_0_21, plain, ~p3, inference(split_conjunct,[status(thm)],[c_0_14])).
% 0.13/0.41 thf(c_0_22, plain, ![X1:$i]:(fparent_THFTYPE_IiioI @ X1 @ flAnna_THFTYPE_i|~p9|~fparent_THFTYPE_IiioI @ flSue_THFTYPE_i @ flAnna_THFTYPE_i), inference(split_conjunct,[status(thm)],[c_0_15])).
% 0.13/0.41 thf(c_0_23, plain, p9, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16, c_0_17])])).
% 0.13/0.41 thf(c_0_24, plain, fparent_THFTYPE_IiioI @ flSue_THFTYPE_i @ flAnna_THFTYPE_i, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18, c_0_19])])).
% 0.13/0.41 thf(c_0_25, plain, ~fparent_THFTYPE_IiioI @ flBob_THFTYPE_i @ flAnna_THFTYPE_i, inference(sr,[status(thm)],[c_0_20, c_0_21])).
% 0.13/0.41 thf(c_0_26, plain, ![X1:$i]:fparent_THFTYPE_IiioI @ X1 @ flAnna_THFTYPE_i, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22, c_0_23]), c_0_24])])).
% 0.13/0.41 thf(c_0_27, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25, c_0_26])]), ['proof']).
% 0.13/0.41 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 0.13/0.41 thf(0,theorem,(~((![X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(((X1 @ X2) @ lAnna_THFTYPE_i) => ((X1 @ X3) @ lAnna_THFTYPE_i))))))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 0.13/0.41 % SZS output end Proof
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