TSTP Solution File: LCL949^4 by Satallax---3.5
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- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : LCL949^4 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n028.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 14:12:08 EDT 2022
% Result : Theorem 23.98s 24.46s
% Output : Proof 23.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LCL949^4 : TPTP v8.1.0. Released v8.1.0.
% 0.00/0.10 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.10/0.31 % Computer : n028.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 600
% 0.10/0.31 % DateTime : Mon Jul 4 16:00:50 EDT 2022
% 0.10/0.31 % CPUTime :
% 23.98/24.46 % SZS status Theorem
% 23.98/24.46 % Mode: mode485:USE_SINE=true:SINE_TOLERANCE=1.2:SINE_GENERALITY_THRESHOLD=4:SINE_RANK_LIMIT=4.:SINE_DEPTH=0
% 23.98/24.46 % Inferences: 1486
% 23.98/24.46 % SZS output start Proof
% 23.98/24.46 thf(def_mlocal,definition,(mlocal = (^[X1:mworld>$o]:(X1 @ mactual)))).
% 23.98/24.46 thf(def_mand,definition,(mand = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:(~(((X1 @ X3) => (~((X2 @ X3))))))))))).
% 23.98/24.46 thf(def_mimplies,definition,(mimplies = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:((X1 @ X3) => (X2 @ X3))))))).
% 23.98/24.46 thf(def_mbox,definition,(mbox = (^[X1:mworld>$o]:(^[X2:mworld]:(![X3:mworld]:(((mrel @ X2) @ X3) => (X1 @ X3))))))).
% 23.98/24.46 thf(def_mforall_di,definition,(mforall_di = (^[X1:$i>mworld>$o]:(^[X2:mworld]:(![X3:$i]:((X1 @ X3) @ X2)))))).
% 23.98/24.46 thf(reflexivity_of_subclass,conjecture,(![X1:mworld]:(((mrel @ mactual) @ X1) => (![X2:$i]:(![X3:mworld]:(((mrel @ X1) @ X3) => (((subclass @ X2) @ X2) @ X3))))))).
% 23.98/24.46 thf(h0,negated_conjecture,(~((![X1:mworld]:(((mrel @ mactual) @ X1) => (![X2:$i]:(![X3:mworld]:(((mrel @ X1) @ X3) => (((subclass @ X2) @ X2) @ X3)))))))),inference(assume_negation,[status(cth)],[reflexivity_of_subclass])).
% 23.98/24.46 thf(ax1357, axiom, (p1|~(p52)), file('<stdin>', ax1357)).
% 23.98/24.46 thf(ax1408, axiom, ~(p1), file('<stdin>', ax1408)).
% 23.98/24.46 thf(ax1349, axiom, (~(p27)|p60), file('<stdin>', ax1349)).
% 23.98/24.46 thf(ax1350, axiom, (~(p60)|~(p53)|p59), file('<stdin>', ax1350)).
% 23.98/24.46 thf(ax1356, axiom, (p52|p53), file('<stdin>', ax1356)).
% 23.98/24.46 thf(ax1382, axiom, p27, file('<stdin>', ax1382)).
% 23.98/24.46 thf(ax1344, axiom, (~(p59)|p67), file('<stdin>', ax1344)).
% 23.98/24.46 thf(pax74, axiom, (p74=>(fmrel @ f__0 @ f__0=>![X256:$i]:~((![X249:mworld]:(fmrel @ f__0 @ X249=>(![X253:mworld]:(fmrel @ X249 @ X253=>fsubclass @ f__1 @ X256 @ X253)=>![X253:mworld]:(fmrel @ X249 @ X253=>![X254:$i, X147:mworld]:(fmrel @ X253 @ X147=>(![X228:mworld]:(fmrel @ X147 @ X228=>fmember @ X254 @ f__1 @ X228)=>![X228:mworld]:(fmrel @ X147 @ X228=>fmember @ X254 @ X256 @ X228))))))=>~(![X249:mworld]:(fmrel @ f__0 @ X249=>(![X253:mworld]:(fmrel @ X249 @ X253=>![X254:$i, X147:mworld]:(fmrel @ X253 @ X147=>(![X228:mworld]:(fmrel @ X147 @ X228=>fmember @ X254 @ f__1 @ X228)=>![X228:mworld]:(fmrel @ X147 @ X228=>fmember @ X254 @ X256 @ X228))))=>![X253:mworld]:(fmrel @ X249 @ X253=>fsubclass @ f__1 @ X256 @ X253)))))))), file('<stdin>', pax74)).
% 23.98/24.46 thf(ax1338, axiom, (~(p67)|p74), file('<stdin>', ax1338)).
% 23.98/24.46 thf(pax2, axiom, (p2=>![X268:mworld]:fmrel @ X268 @ X268), file('<stdin>', pax2)).
% 23.98/24.46 thf(nax83, axiom, (p83<=![X256:$i]:~((![X249:mworld]:(fmrel @ f__0 @ X249=>(![X253:mworld]:(fmrel @ X249 @ X253=>fsubclass @ f__1 @ X256 @ X253)=>![X253:mworld]:(fmrel @ X249 @ X253=>![X254:$i, X147:mworld]:(fmrel @ X253 @ X147=>(![X228:mworld]:(fmrel @ X147 @ X228=>fmember @ X254 @ f__1 @ X228)=>![X228:mworld]:(fmrel @ X147 @ X228=>fmember @ X254 @ X256 @ X228))))))=>~(![X249:mworld]:(fmrel @ f__0 @ X249=>(![X253:mworld]:(fmrel @ X249 @ X253=>![X254:$i, X147:mworld]:(fmrel @ X253 @ X147=>(![X228:mworld]:(fmrel @ X147 @ X228=>fmember @ X254 @ f__1 @ X228)=>![X228:mworld]:(fmrel @ X147 @ X228=>fmember @ X254 @ X256 @ X228))))=>![X253:mworld]:(fmrel @ X249 @ X253=>fsubclass @ f__1 @ X256 @ X253))))))), file('<stdin>', nax83)).
% 23.98/24.46 thf(ax1407, axiom, p2, file('<stdin>', ax1407)).
% 23.98/24.46 thf(ax1299, axiom, (~(p83)|~(p106)), file('<stdin>', ax1299)).
% 23.98/24.46 thf(nax96, axiom, (p96<=fmrel @ f__0 @ f__0), file('<stdin>', nax96)).
% 23.98/24.46 thf(ax1246, axiom, (~(p112)|p142), file('<stdin>', ax1246)).
% 23.98/24.46 thf(ax1291, axiom, (p106|p112), file('<stdin>', ax1291)).
% 23.98/24.46 thf(ax1269, axiom, (~(p127)|~(p117)|p55), file('<stdin>', ax1269)).
% 23.98/24.46 thf(nax117, axiom, (p117<=![X246:mworld]:(fmrel @ f__0 @ X246=>![X247:$i, X226:mworld]:(fmrel @ X246 @ X226=>(![X237:mworld]:(fmrel @ X226 @ X237=>fmember @ X247 @ f__1 @ X237)=>![X237:mworld]:(fmrel @ X226 @ X237=>fmember @ X247 @ f__1 @ X237))))), file('<stdin>', nax117)).
% 23.98/24.46 thf(ax1247, axiom, (~(p142)|~(p96)|p127), file('<stdin>', ax1247)).
% 23.98/24.46 thf(ax1354, axiom, (p54|~(p55)), file('<stdin>', ax1354)).
% 23.98/24.46 thf(ax1355, axiom, (p52|~(p54)), file('<stdin>', ax1355)).
% 23.98/24.46 thf(c_0_21, plain, (p1|~p52), inference(fof_simplification,[status(thm)],[ax1357])).
% 23.98/24.46 thf(c_0_22, plain, ~p1, inference(fof_simplification,[status(thm)],[ax1408])).
% 23.98/24.46 thf(c_0_23, plain, (p1|~p52), inference(split_conjunct,[status(thm)],[c_0_21])).
% 23.98/24.46 thf(c_0_24, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_22])).
% 23.98/24.46 thf(c_0_25, plain, (~p27|p60), inference(fof_simplification,[status(thm)],[ax1349])).
% 23.98/24.46 thf(c_0_26, plain, (~p60|~p53|p59), inference(fof_simplification,[status(thm)],[ax1350])).
% 23.98/24.46 thf(c_0_27, plain, (p52|p53), inference(split_conjunct,[status(thm)],[ax1356])).
% 23.98/24.46 thf(c_0_28, plain, ~p52, inference(sr,[status(thm)],[c_0_23, c_0_24])).
% 23.98/24.46 thf(c_0_29, plain, (p60|~p27), inference(split_conjunct,[status(thm)],[c_0_25])).
% 23.98/24.46 thf(c_0_30, plain, p27, inference(split_conjunct,[status(thm)],[ax1382])).
% 23.98/24.46 thf(c_0_31, plain, (epred99_0<=>![X256:$i]:~((![X249:mworld]:(fmrel @ f__0 @ X249=>(![X253:mworld]:(fmrel @ X249 @ X253=>fsubclass @ f__1 @ X256 @ X253)=>![X253:mworld]:(fmrel @ X249 @ X253=>![X254:$i, X147:mworld]:(fmrel @ X253 @ X147=>(![X228:mworld]:(fmrel @ X147 @ X228=>fmember @ X254 @ f__1 @ X228)=>![X228:mworld]:(fmrel @ X147 @ X228=>fmember @ X254 @ X256 @ X228))))))=>~(![X249:mworld]:(fmrel @ f__0 @ X249=>(![X253:mworld]:(fmrel @ X249 @ X253=>![X254:$i, X147:mworld]:(fmrel @ X253 @ X147=>(![X228:mworld]:(fmrel @ X147 @ X228=>fmember @ X254 @ f__1 @ X228)=>![X228:mworld]:(fmrel @ X147 @ X228=>fmember @ X254 @ X256 @ X228))))=>![X253:mworld]:(fmrel @ X249 @ X253=>fsubclass @ f__1 @ X256 @ X253))))))), introduced(definition)).
% 23.98/24.46 thf(c_0_32, plain, (~p59|p67), inference(fof_simplification,[status(thm)],[ax1344])).
% 23.98/24.46 thf(c_0_33, plain, (p59|~p60|~p53), inference(split_conjunct,[status(thm)],[c_0_26])).
% 23.98/24.46 thf(c_0_34, plain, p53, inference(sr,[status(thm)],[c_0_27, c_0_28])).
% 23.98/24.46 thf(c_0_35, plain, p60, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29, c_0_30])])).
% 23.98/24.46 thf(c_0_36, axiom, (p74=>(fmrel @ f__0 @ f__0=>epred99_0)), inference(apply_def,[status(thm)],[pax74, c_0_31])).
% 23.98/24.46 thf(c_0_37, plain, (~p67|p74), inference(fof_simplification,[status(thm)],[ax1338])).
% 23.98/24.46 thf(c_0_38, plain, (p67|~p59), inference(split_conjunct,[status(thm)],[c_0_32])).
% 23.98/24.46 thf(c_0_39, plain, p59, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_33, c_0_34]), c_0_35])])).
% 23.98/24.46 thf(c_0_40, plain, (~p74|(~fmrel @ f__0 @ f__0|epred99_0)), inference(fof_nnf,[status(thm)],[c_0_36])).
% 23.98/24.46 thf(c_0_41, plain, (p74|~p67), inference(split_conjunct,[status(thm)],[c_0_37])).
% 23.98/24.46 thf(c_0_42, plain, p67, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38, c_0_39])])).
% 23.98/24.46 thf(c_0_43, plain, ![X1295:mworld]:(~p2|fmrel @ X1295 @ X1295), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax2])])])).
% 23.98/24.46 thf(c_0_44, axiom, (p83<=epred99_0), inference(apply_def,[status(thm)],[nax83, c_0_31])).
% 23.98/24.46 thf(c_0_45, plain, (epred99_0|~p74|~fmrel @ f__0 @ f__0), inference(split_conjunct,[status(thm)],[c_0_40])).
% 23.98/24.46 thf(c_0_46, plain, p74, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41, c_0_42])])).
% 23.98/24.46 thf(c_0_47, plain, ![X1:mworld]:(fmrel @ X1 @ X1|~p2), inference(split_conjunct,[status(thm)],[c_0_43])).
% 23.98/24.46 thf(c_0_48, plain, p2, inference(split_conjunct,[status(thm)],[ax1407])).
% 23.98/24.46 thf(c_0_49, plain, (~epred99_0|p83), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_44])])).
% 23.98/24.46 thf(c_0_50, plain, (epred99_0|~fmrel @ f__0 @ f__0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45, c_0_46])])).
% 23.98/24.46 thf(c_0_51, plain, ![X1:mworld]:fmrel @ X1 @ X1, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47, c_0_48])])).
% 23.98/24.46 thf(c_0_52, plain, (~p83|~p106), inference(fof_simplification,[status(thm)],[ax1299])).
% 23.98/24.46 thf(c_0_53, plain, (p83|~epred99_0), inference(split_conjunct,[status(thm)],[c_0_49])).
% 23.98/24.46 thf(c_0_54, plain, epred99_0, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_50, c_0_51])])).
% 23.98/24.46 thf(c_0_55, plain, (~p83|~p106), inference(split_conjunct,[status(thm)],[c_0_52])).
% 23.98/24.46 thf(c_0_56, plain, p83, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_53, c_0_54])])).
% 23.98/24.46 thf(c_0_57, plain, (~fmrel @ f__0 @ f__0|p96), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax96])])).
% 23.98/24.46 thf(c_0_58, plain, (~p112|p142), inference(fof_simplification,[status(thm)],[ax1246])).
% 23.98/24.46 thf(c_0_59, plain, (p106|p112), inference(split_conjunct,[status(thm)],[ax1291])).
% 23.98/24.46 thf(c_0_60, plain, ~p106, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55, c_0_56])])).
% 23.98/24.46 thf(c_0_61, plain, (~p127|~p117|p55), inference(fof_simplification,[status(thm)],[ax1269])).
% 23.98/24.46 thf(c_0_62, plain, p117, inference(fof_simplification,[status(thm)],[nax117])).
% 23.98/24.46 thf(c_0_63, plain, (~p142|~p96|p127), inference(fof_simplification,[status(thm)],[ax1247])).
% 23.98/24.46 thf(c_0_64, plain, (p96|~fmrel @ f__0 @ f__0), inference(split_conjunct,[status(thm)],[c_0_57])).
% 23.98/24.46 thf(c_0_65, plain, (p142|~p112), inference(split_conjunct,[status(thm)],[c_0_58])).
% 23.98/24.46 thf(c_0_66, plain, p112, inference(sr,[status(thm)],[c_0_59, c_0_60])).
% 23.98/24.46 thf(c_0_67, plain, (p55|~p127|~p117), inference(split_conjunct,[status(thm)],[c_0_61])).
% 23.98/24.46 thf(c_0_68, plain, p117, inference(split_conjunct,[status(thm)],[c_0_62])).
% 23.98/24.46 thf(c_0_69, plain, (p127|~p142|~p96), inference(split_conjunct,[status(thm)],[c_0_63])).
% 23.98/24.46 thf(c_0_70, plain, p96, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64, c_0_51])])).
% 23.98/24.46 thf(c_0_71, plain, p142, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_65, c_0_66])])).
% 23.98/24.46 thf(c_0_72, plain, (p54|~p55), inference(fof_simplification,[status(thm)],[ax1354])).
% 23.98/24.46 thf(c_0_73, plain, (p55|~p127), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67, c_0_68])])).
% 23.98/24.46 thf(c_0_74, plain, p127, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_69, c_0_70])]), c_0_71])])).
% 23.98/24.46 thf(c_0_75, plain, (p52|~p54), inference(fof_simplification,[status(thm)],[ax1355])).
% 23.98/24.46 thf(c_0_76, plain, (p54|~p55), inference(split_conjunct,[status(thm)],[c_0_72])).
% 23.98/24.46 thf(c_0_77, plain, p55, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73, c_0_74])])).
% 23.98/24.46 thf(c_0_78, plain, (p52|~p54), inference(split_conjunct,[status(thm)],[c_0_75])).
% 23.98/24.46 thf(c_0_79, plain, p54, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_76, c_0_77])])).
% 23.98/24.46 thf(c_0_80, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_78, c_0_79])]), c_0_28]), ['proof']).
% 23.98/24.46 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 23.98/24.46 thf(0,theorem,(![X1:mworld]:(((mrel @ mactual) @ X1) => (![X2:$i]:(![X3:mworld]:(((mrel @ X1) @ X3) => (((subclass @ X2) @ X2) @ X3)))))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 23.98/24.46 % SZS output end Proof
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