TSTP Solution File: ITP115^1 by Satallax---3.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Satallax---3.5
% Problem  : ITP115^1 : 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 00:29:09 EDT 2022

% Result   : Theorem 46.29s 46.48s
% Output   : Proof 46.29s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : ITP115^1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13  % 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 : Thu Jun  2 18:10:43 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 46.29/46.48  % SZS status Theorem
% 46.29/46.48  % Mode: mode485:USE_SINE=true:SINE_TOLERANCE=1.2:SINE_GENERALITY_THRESHOLD=4:SINE_RANK_LIMIT=4.:SINE_DEPTH=0
% 46.29/46.48  % Inferences: 310
% 46.29/46.48  % SZS output start Proof
% 46.29/46.48  thf(conj_1,conjecture,thesis).
% 46.29/46.48  thf(h0,negated_conjecture,(~(thesis)),inference(assume_negation,[status(cth)],[conj_1])).
% 46.29/46.48  thf(nax1, axiom, (p1<=fthesis), file('<stdin>', nax1)).
% 46.29/46.48  thf(ax1125, axiom, ~(p1), file('<stdin>', ax1125)).
% 46.29/46.48  thf(nax2, axiom, (p2<=(fa2)=(ff @ fx0)), file('<stdin>', nax2)).
% 46.29/46.48  thf(ax1124, axiom, ~(p2), file('<stdin>', ax1124)).
% 46.29/46.48  thf(pax179, axiom, (p179=>![X5:set_b, X6:set_b]:(~((~((~((~((ftopolo1276428102open_b @ X5=>~(ftopolo1276428102open_b @ X6)))=>~(fmember_b @ (ff @ fx0) @ X5)))=>~(fmember_b @ fa2 @ X6)))=>~((finf_inf_set_b @ X5 @ X6)=(fbot_bot_set_b))))=>fthesis)), file('<stdin>', pax179)).
% 46.29/46.48  thf(pax3, axiom, (p3=>(~((ff @ fx0)=(fa2))=>~(![X216:set_b, X217:set_b]:(~((~((~((ftopolo1276428102open_b @ X216=>~(ftopolo1276428102open_b @ X217)))=>~(fmember_b @ (ff @ fx0) @ X216)))=>~(fmember_b @ fa2 @ X217)))=>~((finf_inf_set_b @ X216 @ X217)=(fbot_bot_set_b)))))), file('<stdin>', pax3)).
% 46.29/46.48  thf(ax947, axiom, p179, file('<stdin>', ax947)).
% 46.29/46.48  thf(ax1123, axiom, p3, file('<stdin>', ax1123)).
% 46.29/46.48  thf(c_0_8, plain, (~fthesis|p1), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax1])])).
% 46.29/46.48  thf(c_0_9, plain, ~p1, inference(fof_simplification,[status(thm)],[ax1125])).
% 46.29/46.48  thf(c_0_10, plain, ((fa2)!=(ff @ fx0)|p2), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax2])])).
% 46.29/46.48  thf(c_0_11, plain, ~p2, inference(fof_simplification,[status(thm)],[ax1124])).
% 46.29/46.48  thf(c_0_12, plain, ![X294:set_b, X295:set_b]:(~p179|(~ftopolo1276428102open_b @ X294|~ftopolo1276428102open_b @ X295|~fmember_b @ (ff @ fx0) @ X294|~fmember_b @ fa2 @ X295|(finf_inf_set_b @ X294 @ X295)!=(fbot_bot_set_b)|fthesis)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax179])])])])).
% 46.29/46.48  thf(c_0_13, plain, (p1|~fthesis), inference(split_conjunct,[status(thm)],[c_0_8])).
% 46.29/46.48  thf(c_0_14, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_9])).
% 46.29/46.48  thf(c_0_15, plain, (((((ftopolo1276428102open_b @ esk373_0|(ff @ fx0)=(fa2)|~p3)&(ftopolo1276428102open_b @ esk374_0|(ff @ fx0)=(fa2)|~p3))&(fmember_b @ (ff @ fx0) @ esk373_0|(ff @ fx0)=(fa2)|~p3))&(fmember_b @ fa2 @ esk374_0|(ff @ fx0)=(fa2)|~p3))&((finf_inf_set_b @ esk373_0 @ esk374_0)=(fbot_bot_set_b)|(ff @ fx0)=(fa2)|~p3)), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax3])])])])])).
% 46.29/46.48  thf(c_0_16, plain, (p2|(fa2)!=(ff @ fx0)), inference(split_conjunct,[status(thm)],[c_0_10])).
% 46.29/46.48  thf(c_0_17, plain, ~p2, inference(split_conjunct,[status(thm)],[c_0_11])).
% 46.29/46.48  thf(c_0_18, plain, ![X1:set_b, X2:set_b]:(fthesis|~p179|~ftopolo1276428102open_b @ X1|~ftopolo1276428102open_b @ X2|~fmember_b @ (ff @ fx0) @ X1|~fmember_b @ fa2 @ X2|(finf_inf_set_b @ X1 @ X2)!=(fbot_bot_set_b)), inference(split_conjunct,[status(thm)],[c_0_12])).
% 46.29/46.48  thf(c_0_19, plain, p179, inference(split_conjunct,[status(thm)],[ax947])).
% 46.29/46.48  thf(c_0_20, plain, ~fthesis, inference(sr,[status(thm)],[c_0_13, c_0_14])).
% 46.29/46.48  thf(c_0_21, plain, ((finf_inf_set_b @ esk373_0 @ esk374_0)=(fbot_bot_set_b)|(ff @ fx0)=(fa2)|~p3), inference(split_conjunct,[status(thm)],[c_0_15])).
% 46.29/46.48  thf(c_0_22, plain, p3, inference(split_conjunct,[status(thm)],[ax1123])).
% 46.29/46.48  thf(c_0_23, plain, (ff @ fx0)!=(fa2), inference(sr,[status(thm)],[c_0_16, c_0_17])).
% 46.29/46.48  thf(c_0_24, plain, (fmember_b @ (ff @ fx0) @ esk373_0|(ff @ fx0)=(fa2)|~p3), inference(split_conjunct,[status(thm)],[c_0_15])).
% 46.29/46.48  thf(c_0_25, plain, (fmember_b @ fa2 @ esk374_0|(ff @ fx0)=(fa2)|~p3), inference(split_conjunct,[status(thm)],[c_0_15])).
% 46.29/46.48  thf(c_0_26, plain, (ftopolo1276428102open_b @ esk374_0|(ff @ fx0)=(fa2)|~p3), inference(split_conjunct,[status(thm)],[c_0_15])).
% 46.29/46.48  thf(c_0_27, plain, (ftopolo1276428102open_b @ esk373_0|(ff @ fx0)=(fa2)|~p3), inference(split_conjunct,[status(thm)],[c_0_15])).
% 46.29/46.48  thf(c_0_28, plain, ![X2:set_b, X1:set_b]:((finf_inf_set_b @ X1 @ X2)!=(fbot_bot_set_b)|~fmember_b @ (ff @ fx0) @ X1|~fmember_b @ fa2 @ X2|~ftopolo1276428102open_b @ X2|~ftopolo1276428102open_b @ X1), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18, c_0_19])]), c_0_20])).
% 46.29/46.48  thf(c_0_29, plain, (finf_inf_set_b @ esk373_0 @ esk374_0)=(fbot_bot_set_b), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21, c_0_22])]), c_0_23])).
% 46.29/46.48  thf(c_0_30, plain, fmember_b @ (ff @ fx0) @ esk373_0, inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24, c_0_22])]), c_0_23])).
% 46.29/46.48  thf(c_0_31, plain, fmember_b @ fa2 @ esk374_0, inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25, c_0_22])]), c_0_23])).
% 46.29/46.48  thf(c_0_32, plain, ftopolo1276428102open_b @ esk374_0, inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26, c_0_22])]), c_0_23])).
% 46.29/46.48  thf(c_0_33, plain, ftopolo1276428102open_b @ esk373_0, inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27, c_0_22])]), c_0_23])).
% 46.29/46.48  thf(c_0_34, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_29]), c_0_30]), c_0_31]), c_0_32]), c_0_33])]), ['proof']).
% 46.29/46.48  thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 46.29/46.48  thf(0,theorem,thesis,inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 46.29/46.48  % SZS output end Proof
%------------------------------------------------------------------------------