TSTP Solution File: ITP046^1 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : ITP046^1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n017.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 : Sun Jul 17 00:28:53 EDT 2022
% Result : Theorem 5.37s 5.59s
% Output : Proof 5.37s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ITP046^1 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.34 % Computer : n017.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 : 600
% 0.12/0.34 % DateTime : Fri Jun 3 05:28:13 EDT 2022
% 0.12/0.34 % CPUTime :
% 5.37/5.59 % SZS status Theorem
% 5.37/5.59 % Mode: mode485:USE_SINE=true:SINE_TOLERANCE=1.2:SINE_GENERALITY_THRESHOLD=4:SINE_RANK_LIMIT=4.:SINE_DEPTH=0
% 5.37/5.59 % Inferences: 2879
% 5.37/5.59 % SZS output start Proof
% 5.37/5.59 thf(conj_0,conjecture,(~((r3 = right_forkee)))).
% 5.37/5.59 thf(h0,negated_conjecture,(r3 = right_forkee),inference(assume_negation,[status(cth)],[conj_0])).
% 5.37/5.59 thf(pax26, axiom, (p26=>![X2096:r > option1457017436_r_l_v, X2103:r, X2104:produc1156025366_r_l_v]:((X2096 @ X2103)=(fsome_P1807977723_r_l_v @ X2104)=>fmember_r @ X2103 @ (frID_G_r_l_v @ X2096))), file('<stdin>', pax26)).
% 5.37/5.59 thf(pax8, axiom, (p8=>(fs_1 @ fr3)=(fsome_P1807977723_r_l_v @ (fproduc297528454_r_l_v @ fsigma2 @ (fproduc1834103605_r_l_v @ ftau2 @ (fplug_r_l_v @ fe2 @ (frfork_r_l_v @ fe4)))))), file('<stdin>', pax8)).
% 5.37/5.59 thf(pax1, axiom, (p1=>(fr3)=(fright_forkee)), file('<stdin>', pax1)).
% 5.37/5.59 thf(ax2452, axiom, p26, file('<stdin>', ax2452)).
% 5.37/5.59 thf(ax2470, axiom, p8, file('<stdin>', ax2470)).
% 5.37/5.59 thf(nax2, axiom, (p2<=fmember_r @ fright_forkee @ (frID_G_r_l_v @ fs_1)), file('<stdin>', nax2)).
% 5.37/5.59 thf(ax2477, axiom, p1, file('<stdin>', ax2477)).
% 5.37/5.59 thf(ax2476, axiom, ~(p2), file('<stdin>', ax2476)).
% 5.37/5.59 thf(c_0_8, plain, ![X8215:r > option1457017436_r_l_v, X8216:r, X8217:produc1156025366_r_l_v]:(~p26|((X8215 @ X8216)!=(fsome_P1807977723_r_l_v @ X8217)|fmember_r @ X8216 @ (frID_G_r_l_v @ X8215))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax26])])])).
% 5.37/5.59 thf(c_0_9, plain, (~p8|(fs_1 @ fr3)=(fsome_P1807977723_r_l_v @ (fproduc297528454_r_l_v @ fsigma2 @ (fproduc1834103605_r_l_v @ ftau2 @ (fplug_r_l_v @ fe2 @ (frfork_r_l_v @ fe4)))))), inference(fof_nnf,[status(thm)],[pax8])).
% 5.37/5.59 thf(c_0_10, plain, (~p1|(fr3)=(fright_forkee)), inference(fof_nnf,[status(thm)],[pax1])).
% 5.37/5.59 thf(c_0_11, plain, ![X60:r, X61:r > option1457017436_r_l_v, X1895:produc1156025366_r_l_v]:(fmember_r @ X60 @ (frID_G_r_l_v @ X61)|~p26|(X61 @ X60)!=(fsome_P1807977723_r_l_v @ X1895)), inference(split_conjunct,[status(thm)],[c_0_8])).
% 5.37/5.59 thf(c_0_12, plain, p26, inference(split_conjunct,[status(thm)],[ax2452])).
% 5.37/5.59 thf(c_0_13, plain, ((fs_1 @ fr3)=(fsome_P1807977723_r_l_v @ (fproduc297528454_r_l_v @ fsigma2 @ (fproduc1834103605_r_l_v @ ftau2 @ (fplug_r_l_v @ fe2 @ (frfork_r_l_v @ fe4)))))|~p8), inference(split_conjunct,[status(thm)],[c_0_9])).
% 5.37/5.59 thf(c_0_14, plain, p8, inference(split_conjunct,[status(thm)],[ax2470])).
% 5.37/5.59 thf(c_0_15, plain, (~fmember_r @ fright_forkee @ (frID_G_r_l_v @ fs_1)|p2), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax2])])).
% 5.37/5.59 thf(c_0_16, plain, ((fr3)=(fright_forkee)|~p1), inference(split_conjunct,[status(thm)],[c_0_10])).
% 5.37/5.59 thf(c_0_17, plain, p1, inference(split_conjunct,[status(thm)],[ax2477])).
% 5.37/5.59 thf(c_0_18, plain, ~p2, inference(fof_simplification,[status(thm)],[ax2476])).
% 5.37/5.59 thf(c_0_19, plain, ![X60:r, X61:r > option1457017436_r_l_v, X1895:produc1156025366_r_l_v]:(fmember_r @ X60 @ (frID_G_r_l_v @ X61)|(X61 @ X60)!=(fsome_P1807977723_r_l_v @ X1895)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11, c_0_12])])).
% 5.37/5.59 thf(c_0_20, plain, (fsome_P1807977723_r_l_v @ (fproduc297528454_r_l_v @ fsigma2 @ (fproduc1834103605_r_l_v @ ftau2 @ (fplug_r_l_v @ fe2 @ (frfork_r_l_v @ fe4)))))=(fs_1 @ fr3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13, c_0_14])])).
% 5.37/5.59 thf(c_0_21, plain, (p2|~fmember_r @ fright_forkee @ (frID_G_r_l_v @ fs_1)), inference(split_conjunct,[status(thm)],[c_0_15])).
% 5.37/5.59 thf(c_0_22, plain, (fright_forkee)=(fr3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16, c_0_17])])).
% 5.37/5.59 thf(c_0_23, plain, ~p2, inference(split_conjunct,[status(thm)],[c_0_18])).
% 5.37/5.59 thf(c_0_24, plain, ![X61:r > option1457017436_r_l_v, X60:r]:(fmember_r @ X60 @ (frID_G_r_l_v @ X61)|(X61 @ X60)!=(fs_1 @ fr3)), inference(spm,[status(thm)],[c_0_19, c_0_20])).
% 5.37/5.59 thf(c_0_25, plain, ~fmember_r @ fr3 @ (frID_G_r_l_v @ fs_1), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_21, c_0_22]), c_0_23])).
% 5.37/5.59 thf(c_0_26, plain, ($false), inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_24]), c_0_25]), ['proof']).
% 5.37/5.59 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 5.37/5.59 thf(0,theorem,(~((r3 = right_forkee))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 5.37/5.59 % SZS output end Proof
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