TSTP Solution File: ITP219^1 by Satallax---3.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Satallax---3.5
% Problem  : ITP219^1 : 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 : 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 00:29:40 EDT 2022

% Result   : Theorem 25.69s 25.82s
% Output   : Proof 25.69s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : ITP219^1 : TPTP v8.1.0. Released v8.1.0.
% 0.08/0.13  % Command  : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34  % Computer : n017.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Thu Jun  2 17:48:28 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 1.57/1.66  slave returned with unknown status
% 25.69/25.82  % SZS status Theorem
% 25.69/25.82  % Mode: mode485:USE_SINE=true:SINE_TOLERANCE=1.2:SINE_GENERALITY_THRESHOLD=4:SINE_RANK_LIMIT=4.:SINE_DEPTH=0
% 25.69/25.82  % Inferences: 20
% 25.69/25.82  % SZS output start Proof
% 25.69/25.82  thf(conj_0,conjecture,((entails @ p) @ q)).
% 25.69/25.82  thf(h0,negated_conjecture,(~(((entails @ p) @ q))),inference(assume_negation,[status(cth)],[conj_0])).
% 25.69/25.82  thf(pax10, axiom, (p10=>![X1763:assn, X1766:produc3658429121746597890et_nat, X1767:assn]:(frep_assn @ X1763 @ X1766=>(fentails @ X1763 @ X1767=>frep_assn @ X1767 @ X1766))), file('<stdin>', pax10)).
% 25.69/25.82  thf(pax3, axiom, (p3=>fentails @ fp @ fbot_bot_assn), file('<stdin>', pax3)).
% 25.69/25.82  thf(pax23, axiom, (p23=>![X1762:produc3658429121746597890et_nat]:~(frep_assn @ fbot_bot_assn @ X1762)), file('<stdin>', pax23)).
% 25.69/25.82  thf(ax1428, axiom, p10, file('<stdin>', ax1428)).
% 25.69/25.82  thf(ax1435, axiom, p3, file('<stdin>', ax1435)).
% 25.69/25.82  thf(ax1415, axiom, p23, file('<stdin>', ax1415)).
% 25.69/25.82  thf(pax2, axiom, (p2=>![X1763:assn, X1768:assn]:(![X1769:produc3658429121746597890et_nat]:(frep_assn @ X1763 @ X1769=>frep_assn @ X1768 @ X1769)=>fentails @ X1763 @ X1768)), file('<stdin>', pax2)).
% 25.69/25.82  thf(nax1, axiom, (p1<=fentails @ fp @ fq), file('<stdin>', nax1)).
% 25.69/25.82  thf(ax1437, axiom, ~(p1), file('<stdin>', ax1437)).
% 25.69/25.82  thf(ax1436, axiom, p2, file('<stdin>', ax1436)).
% 25.69/25.82  thf(c_0_10, plain, ![X7506:assn, X7507:produc3658429121746597890et_nat, X7508:assn]:(~p10|(~frep_assn @ X7506 @ X7507|(~fentails @ X7506 @ X7508|frep_assn @ X7508 @ X7507))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax10])])])).
% 25.69/25.82  thf(c_0_11, plain, (~p3|fentails @ fp @ fbot_bot_assn), inference(fof_nnf,[status(thm)],[pax3])).
% 25.69/25.82  thf(c_0_12, plain, ![X7476:produc3658429121746597890et_nat]:(~p23|~frep_assn @ fbot_bot_assn @ X7476), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax23])])])])).
% 25.69/25.82  thf(c_0_13, plain, ![X1:assn, X8:produc3658429121746597890et_nat, X2:assn]:(frep_assn @ X2 @ X8|~p10|~frep_assn @ X1 @ X8|~fentails @ X1 @ X2), inference(split_conjunct,[status(thm)],[c_0_10])).
% 25.69/25.82  thf(c_0_14, plain, p10, inference(split_conjunct,[status(thm)],[ax1428])).
% 25.69/25.82  thf(c_0_15, plain, (fentails @ fp @ fbot_bot_assn|~p3), inference(split_conjunct,[status(thm)],[c_0_11])).
% 25.69/25.82  thf(c_0_16, plain, p3, inference(split_conjunct,[status(thm)],[ax1435])).
% 25.69/25.82  thf(c_0_17, plain, ![X8:produc3658429121746597890et_nat]:(~p23|~frep_assn @ fbot_bot_assn @ X8), inference(split_conjunct,[status(thm)],[c_0_12])).
% 25.69/25.82  thf(c_0_18, plain, p23, inference(split_conjunct,[status(thm)],[ax1415])).
% 25.69/25.82  thf(c_0_19, plain, ![X7524:assn, X7525:assn]:((frep_assn @ X7524 @ (esk2878_2 @ X7524 @ X7525)|fentails @ X7524 @ X7525|~p2)&(~frep_assn @ X7525 @ (esk2878_2 @ X7524 @ X7525)|fentails @ X7524 @ X7525|~p2)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax2])])])])])).
% 25.69/25.82  thf(c_0_20, plain, (~fentails @ fp @ fq|p1), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax1])])).
% 25.69/25.82  thf(c_0_21, plain, ~p1, inference(fof_simplification,[status(thm)],[ax1437])).
% 25.69/25.82  thf(c_0_22, plain, ![X1:assn, X2:assn, X8:produc3658429121746597890et_nat]:(frep_assn @ X1 @ X8|~fentails @ X2 @ X1|~frep_assn @ X2 @ X8), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13, c_0_14])])).
% 25.69/25.82  thf(c_0_23, plain, fentails @ fp @ fbot_bot_assn, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15, c_0_16])])).
% 25.69/25.82  thf(c_0_24, plain, ![X8:produc3658429121746597890et_nat]:~frep_assn @ fbot_bot_assn @ X8, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17, c_0_18])])).
% 25.69/25.82  thf(c_0_25, plain, ![X1:assn, X2:assn]:(frep_assn @ X1 @ (esk2878_2 @ X1 @ X2)|fentails @ X1 @ X2|~p2), inference(split_conjunct,[status(thm)],[c_0_19])).
% 25.69/25.82  thf(c_0_26, plain, p2, inference(split_conjunct,[status(thm)],[ax1436])).
% 25.69/25.82  thf(c_0_27, plain, (p1|~fentails @ fp @ fq), inference(split_conjunct,[status(thm)],[c_0_20])).
% 25.69/25.82  thf(c_0_28, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_21])).
% 25.69/25.82  thf(c_0_29, plain, ![X8:produc3658429121746597890et_nat]:~frep_assn @ fp @ X8, inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_23]), c_0_24])).
% 25.69/25.82  thf(c_0_30, plain, ![X1:assn, X2:assn]:(frep_assn @ X1 @ (esk2878_2 @ X1 @ X2)|fentails @ X1 @ X2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25, c_0_26])])).
% 25.69/25.82  thf(c_0_31, plain, ~fentails @ fp @ fq, inference(sr,[status(thm)],[c_0_27, c_0_28])).
% 25.69/25.82  thf(c_0_32, plain, ![X1:assn]:fentails @ fp @ X1, inference(spm,[status(thm)],[c_0_29, c_0_30])).
% 25.69/25.82  thf(c_0_33, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31, c_0_32])]), ['proof']).
% 25.69/25.82  thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 25.69/25.82  thf(0,theorem,((entails @ p) @ q),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 25.69/25.82  % SZS output end Proof
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