TSTP Solution File: ITP177^1 by Satallax---3.5
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% File : Satallax---3.5
% Problem : ITP177^1 : 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 : n023.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 00:29:23 EDT 2022
% Result : Theorem 5.78s 5.98s
% Output : Proof 5.78s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ITP177^1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.32 % Computer : n023.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Fri Jun 3 23:54:40 EDT 2022
% 0.12/0.32 % CPUTime :
% 5.78/5.98 % SZS status Theorem
% 5.78/5.98 % Mode: mode507:USE_SINE=true:SINE_TOLERANCE=3.0:SINE_GENERALITY_THRESHOLD=0:SINE_RANK_LIMIT=1.:SINE_DEPTH=1
% 5.78/5.98 % Inferences: 6
% 5.78/5.98 % SZS output start Proof
% 5.78/5.98 thf(conj_0,conjecture,((member_b @ x) @ (labele1424214014nt_a_b @ g))).
% 5.78/5.98 thf(h0,negated_conjecture,(~(((member_b @ x) @ (labele1424214014nt_a_b @ g)))),inference(assume_negation,[status(cth)],[conj_0])).
% 5.78/5.98 thf(pax1, axiom, (p1=>![X106:b]:(fmember_b @ (ff @ X106) @ (flabele1424214014nt_a_b @ fg)=>fmember_b @ X106 @ (flabele1424214014nt_a_b @ fg))), file('<stdin>', pax1)).
% 5.78/5.98 thf(pax3, axiom, (p3=>fmember_b @ (ff @ fx) @ (flabele1424214014nt_a_b @ fg)), file('<stdin>', pax3)).
% 5.78/5.98 thf(nax82, axiom, (p82<=fmember_b @ fx @ (flabele1424214014nt_a_b @ fg)), file('<stdin>', nax82)).
% 5.78/5.98 thf(ax23, axiom, ~(p82), file('<stdin>', ax23)).
% 5.78/5.98 thf(ax104, axiom, p1, file('<stdin>', ax104)).
% 5.78/5.98 thf(ax102, axiom, p3, file('<stdin>', ax102)).
% 5.78/5.98 thf(c_0_6, plain, ![X459:b]:(~p1|(~fmember_b @ (ff @ X459) @ (flabele1424214014nt_a_b @ fg)|fmember_b @ X459 @ (flabele1424214014nt_a_b @ fg))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax1])])])).
% 5.78/5.98 thf(c_0_7, plain, (~p3|fmember_b @ (ff @ fx) @ (flabele1424214014nt_a_b @ fg)), inference(fof_nnf,[status(thm)],[pax3])).
% 5.78/5.98 thf(c_0_8, plain, (~fmember_b @ fx @ (flabele1424214014nt_a_b @ fg)|p82), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax82])])).
% 5.78/5.98 thf(c_0_9, plain, ~p82, inference(fof_simplification,[status(thm)],[ax23])).
% 5.78/5.98 thf(c_0_10, plain, ![X1:b]:(fmember_b @ X1 @ (flabele1424214014nt_a_b @ fg)|~p1|~fmember_b @ (ff @ X1) @ (flabele1424214014nt_a_b @ fg)), inference(split_conjunct,[status(thm)],[c_0_6])).
% 5.78/5.98 thf(c_0_11, plain, p1, inference(split_conjunct,[status(thm)],[ax104])).
% 5.78/5.98 thf(c_0_12, plain, (fmember_b @ (ff @ fx) @ (flabele1424214014nt_a_b @ fg)|~p3), inference(split_conjunct,[status(thm)],[c_0_7])).
% 5.78/5.98 thf(c_0_13, plain, p3, inference(split_conjunct,[status(thm)],[ax102])).
% 5.78/5.98 thf(c_0_14, plain, (p82|~fmember_b @ fx @ (flabele1424214014nt_a_b @ fg)), inference(split_conjunct,[status(thm)],[c_0_8])).
% 5.78/5.98 thf(c_0_15, plain, ~p82, inference(split_conjunct,[status(thm)],[c_0_9])).
% 5.78/5.98 thf(c_0_16, plain, ![X1:b]:(fmember_b @ X1 @ (flabele1424214014nt_a_b @ fg)|~fmember_b @ (ff @ X1) @ (flabele1424214014nt_a_b @ fg)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10, c_0_11])])).
% 5.78/5.98 thf(c_0_17, plain, fmember_b @ (ff @ fx) @ (flabele1424214014nt_a_b @ fg), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12, c_0_13])])).
% 5.78/5.98 thf(c_0_18, plain, ~fmember_b @ fx @ (flabele1424214014nt_a_b @ fg), inference(sr,[status(thm)],[c_0_14, c_0_15])).
% 5.78/5.98 thf(c_0_19, plain, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_17]), c_0_18]), ['proof']).
% 5.78/5.98 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 5.78/5.98 thf(0,theorem,((member_b @ x) @ (labele1424214014nt_a_b @ g)),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 5.78/5.98 % SZS output end Proof
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