TSTP Solution File: ITP031^1 by Satallax---3.5
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% File : Satallax---3.5
% Problem : ITP031^1 : 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 : n029.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 00:28:49 EDT 2022
% Result : Theorem 46.51s 46.48s
% Output : Proof 46.51s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : ITP031^1 : TPTP v8.1.0. Released v7.5.0.
% 0.06/0.11 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.11/0.31 % Computer : n029.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 600
% 0.11/0.31 % DateTime : Sat Jun 4 01:45:32 EDT 2022
% 0.11/0.31 % CPUTime :
% 46.51/46.48 % SZS status Theorem
% 46.51/46.48 % Mode: mode485:USE_SINE=true:SINE_TOLERANCE=1.2:SINE_GENERALITY_THRESHOLD=4:SINE_RANK_LIMIT=4.:SINE_DEPTH=0
% 46.51/46.48 % Inferences: 380
% 46.51/46.48 % SZS output start Proof
% 46.51/46.48 thf(conj_0,conjecture,(![X1:a]:(((member_a @ X1) @ ((binary504661350_eqs_a @ h) @ e)) => (~(((h @ X1) = (h @ x))))))).
% 46.51/46.48 thf(h0,negated_conjecture,(~((![X1:a]:(((member_a @ X1) @ ((binary504661350_eqs_a @ h) @ e)) => (~(((h @ X1) = (h @ x)))))))),inference(assume_negation,[status(cth)],[conj_0])).
% 46.51/46.48 thf(ax889, axiom, (p1|~(p230)), file('<stdin>', ax889)).
% 46.51/46.48 thf(ax1118, axiom, ~(p1), file('<stdin>', ax1118)).
% 46.51/46.48 thf(nax230, axiom, (p230<=(fmember_a @ f__0 @ (fbinary504661350_eqs_a @ fh @ fe)=>~((fh @ f__0)=(fh @ fx)))), file('<stdin>', nax230)).
% 46.51/46.48 thf(pax157, axiom, (p157=>![X144:int]:~(ford_less_int @ X144 @ X144)), file('<stdin>', pax157)).
% 46.51/46.48 thf(pax2, axiom, (p2=>![X253:a]:(fmember_a @ X253 @ (fbinary504661350_eqs_a @ fh @ fe)=>ford_less_int @ (fh @ X253) @ (fh @ fx))), file('<stdin>', pax2)).
% 46.51/46.48 thf(pax231, axiom, (p231=>fmember_a @ f__0 @ (fbinary504661350_eqs_a @ fh @ fe)), file('<stdin>', pax231)).
% 46.51/46.48 thf(ax888, axiom, (p230|p231), file('<stdin>', ax888)).
% 46.51/46.48 thf(ax962, axiom, p157, file('<stdin>', ax962)).
% 46.51/46.48 thf(ax1117, axiom, p2, file('<stdin>', ax1117)).
% 46.51/46.48 thf(c_0_9, plain, (p1|~p230), inference(fof_simplification,[status(thm)],[ax889])).
% 46.51/46.48 thf(c_0_10, plain, ~p1, inference(fof_simplification,[status(thm)],[ax1118])).
% 46.51/46.48 thf(c_0_11, plain, ((fmember_a @ f__0 @ (fbinary504661350_eqs_a @ fh @ fe)|p230)&((fh @ f__0)=(fh @ fx)|p230)), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax230])])])).
% 46.51/46.48 thf(c_0_12, plain, (p1|~p230), inference(split_conjunct,[status(thm)],[c_0_9])).
% 46.51/46.48 thf(c_0_13, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_10])).
% 46.51/46.48 thf(c_0_14, plain, ![X814:int]:(~p157|~ford_less_int @ X814 @ X814), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax157])])])])).
% 46.51/46.48 thf(c_0_15, plain, ![X1234:a]:(~p2|(~fmember_a @ X1234 @ (fbinary504661350_eqs_a @ fh @ fe)|ford_less_int @ (fh @ X1234) @ (fh @ fx))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax2])])])).
% 46.51/46.48 thf(c_0_16, plain, ((fh @ f__0)=(fh @ fx)|p230), inference(split_conjunct,[status(thm)],[c_0_11])).
% 46.51/46.48 thf(c_0_17, plain, ~p230, inference(sr,[status(thm)],[c_0_12, c_0_13])).
% 46.51/46.48 thf(c_0_18, plain, (~p231|fmember_a @ f__0 @ (fbinary504661350_eqs_a @ fh @ fe)), inference(fof_nnf,[status(thm)],[pax231])).
% 46.51/46.48 thf(c_0_19, plain, (p230|p231), inference(split_conjunct,[status(thm)],[ax888])).
% 46.51/46.48 thf(c_0_20, plain, ![X5:int]:(~p157|~ford_less_int @ X5 @ X5), inference(split_conjunct,[status(thm)],[c_0_14])).
% 46.51/46.48 thf(c_0_21, plain, p157, inference(split_conjunct,[status(thm)],[ax962])).
% 46.51/46.48 thf(c_0_22, plain, ![X3:a]:(ford_less_int @ (fh @ X3) @ (fh @ fx)|~p2|~fmember_a @ X3 @ (fbinary504661350_eqs_a @ fh @ fe)), inference(split_conjunct,[status(thm)],[c_0_15])).
% 46.51/46.48 thf(c_0_23, plain, (fh @ fx)=(fh @ f__0), inference(sr,[status(thm)],[c_0_16, c_0_17])).
% 46.51/46.48 thf(c_0_24, plain, p2, inference(split_conjunct,[status(thm)],[ax1117])).
% 46.51/46.48 thf(c_0_25, plain, (fmember_a @ f__0 @ (fbinary504661350_eqs_a @ fh @ fe)|~p231), inference(split_conjunct,[status(thm)],[c_0_18])).
% 46.51/46.48 thf(c_0_26, plain, p231, inference(sr,[status(thm)],[c_0_19, c_0_17])).
% 46.51/46.48 thf(c_0_27, plain, ![X5:int]:~ford_less_int @ X5 @ X5, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20, c_0_21])])).
% 46.51/46.48 thf(c_0_28, plain, ![X3:a]:(ford_less_int @ (fh @ X3) @ (fh @ f__0)|~fmember_a @ X3 @ (fbinary504661350_eqs_a @ fh @ fe)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22, c_0_23]), c_0_24])])).
% 46.51/46.48 thf(c_0_29, plain, fmember_a @ f__0 @ (fbinary504661350_eqs_a @ fh @ fe), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25, c_0_26])])).
% 46.51/46.48 thf(c_0_30, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_28]), c_0_29])]), ['proof']).
% 46.51/46.48 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 46.51/46.48 thf(0,theorem,(![X1:a]:(((member_a @ X1) @ ((binary504661350_eqs_a @ h) @ e)) => (~(((h @ X1) = (h @ x)))))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 46.51/46.48 % SZS output end Proof
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