TSTP Solution File: NUM676^1 by Satallax---3.5

View Problem - Process Solution

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% File     : Satallax---3.5
% Problem  : NUM676^1 : TPTP v8.1.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s

% Computer : n009.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 : Mon Jul 18 13:55:04 EDT 2022

% Result   : Theorem 2.13s 2.48s
% Output   : Proof 2.13s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : NUM676^1 : TPTP v8.1.0. Released v3.7.0.
% 0.07/0.12  % Command  : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.11/0.33  % Computer : n009.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Thu Jul  7 00:02:07 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 2.13/2.48  % SZS status Theorem
% 2.13/2.48  % Mode: mode506
% 2.13/2.48  % Inferences: 38936
% 2.13/2.48  % SZS output start Proof
% 2.13/2.48  thf(satz19g,conjecture,((more @ ((pl @ x) @ z)) @ ((pl @ y) @ u))).
% 2.13/2.48  thf(h0,negated_conjecture,(~(((more @ ((pl @ x) @ z)) @ ((pl @ y) @ u)))),inference(assume_negation,[status(cth)],[satz19g])).
% 2.13/2.48  thf(ax948, axiom, (~(p4)|p13), file('<stdin>', ax948)).
% 2.13/2.48  thf(ax858, axiom, (~(p13)|p107), file('<stdin>', ax858)).
% 2.13/2.48  thf(ax958, axiom, p4, file('<stdin>', ax958)).
% 2.13/2.48  thf(pax2, axiom, (p2=>(fx)=(fy)), file('<stdin>', pax2)).
% 2.13/2.48  thf(ax411, axiom, (~(p107)|p571), file('<stdin>', ax411)).
% 2.13/2.48  thf(pax3, axiom, (p3=>fmore @ fz @ fu), file('<stdin>', pax3)).
% 2.13/2.48  thf(nax1, axiom, (p1<=fmore @ (fpl @ fx @ fz) @ (fpl @ fy @ fu)), file('<stdin>', nax1)).
% 2.13/2.48  thf(ax960, axiom, p2, file('<stdin>', ax960)).
% 2.13/2.48  thf(ax961, axiom, ~(p1), file('<stdin>', ax961)).
% 2.13/2.48  thf(pax571, axiom, (p571=>(fmore @ fz @ fu=>fmore @ (fpl @ fy @ fz) @ (fpl @ fy @ fu))), file('<stdin>', pax571)).
% 2.13/2.48  thf(ax959, axiom, p3, file('<stdin>', ax959)).
% 2.13/2.48  thf(c_0_11, plain, (~p4|p13), inference(fof_simplification,[status(thm)],[ax948])).
% 2.13/2.48  thf(c_0_12, plain, (~p13|p107), inference(fof_simplification,[status(thm)],[ax858])).
% 2.13/2.48  thf(c_0_13, plain, (p13|~p4), inference(split_conjunct,[status(thm)],[c_0_11])).
% 2.13/2.48  thf(c_0_14, plain, p4, inference(split_conjunct,[status(thm)],[ax958])).
% 2.13/2.48  thf(c_0_15, plain, (~p2|(fx)=(fy)), inference(fof_nnf,[status(thm)],[pax2])).
% 2.13/2.48  thf(c_0_16, plain, (~p107|p571), inference(fof_simplification,[status(thm)],[ax411])).
% 2.13/2.48  thf(c_0_17, plain, (p107|~p13), inference(split_conjunct,[status(thm)],[c_0_12])).
% 2.13/2.48  thf(c_0_18, plain, p13, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13, c_0_14])])).
% 2.13/2.48  thf(c_0_19, plain, (~p3|fmore @ fz @ fu), inference(fof_nnf,[status(thm)],[pax3])).
% 2.13/2.48  thf(c_0_20, plain, (~fmore @ (fpl @ fx @ fz) @ (fpl @ fy @ fu)|p1), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax1])])).
% 2.13/2.48  thf(c_0_21, plain, ((fx)=(fy)|~p2), inference(split_conjunct,[status(thm)],[c_0_15])).
% 2.13/2.48  thf(c_0_22, plain, p2, inference(split_conjunct,[status(thm)],[ax960])).
% 2.13/2.48  thf(c_0_23, plain, ~p1, inference(fof_simplification,[status(thm)],[ax961])).
% 2.13/2.48  thf(c_0_24, plain, (~p571|(~fmore @ fz @ fu|fmore @ (fpl @ fy @ fz) @ (fpl @ fy @ fu))), inference(fof_nnf,[status(thm)],[pax571])).
% 2.13/2.48  thf(c_0_25, plain, (p571|~p107), inference(split_conjunct,[status(thm)],[c_0_16])).
% 2.13/2.48  thf(c_0_26, plain, p107, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17, c_0_18])])).
% 2.13/2.48  thf(c_0_27, plain, (fmore @ fz @ fu|~p3), inference(split_conjunct,[status(thm)],[c_0_19])).
% 2.13/2.48  thf(c_0_28, plain, p3, inference(split_conjunct,[status(thm)],[ax959])).
% 2.13/2.48  thf(c_0_29, plain, (p1|~fmore @ (fpl @ fx @ fz) @ (fpl @ fy @ fu)), inference(split_conjunct,[status(thm)],[c_0_20])).
% 2.13/2.48  thf(c_0_30, plain, (fy)=(fx), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21, c_0_22])])).
% 2.13/2.48  thf(c_0_31, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_23])).
% 2.13/2.48  thf(c_0_32, plain, (fmore @ (fpl @ fy @ fz) @ (fpl @ fy @ fu)|~p571|~fmore @ fz @ fu), inference(split_conjunct,[status(thm)],[c_0_24])).
% 2.13/2.48  thf(c_0_33, plain, p571, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25, c_0_26])])).
% 2.13/2.48  thf(c_0_34, plain, fmore @ fz @ fu, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27, c_0_28])])).
% 2.13/2.48  thf(c_0_35, plain, ~fmore @ (fpl @ fx @ fz) @ (fpl @ fx @ fu), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_29, c_0_30]), c_0_31])).
% 2.13/2.48  thf(c_0_36, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_32, c_0_30]), c_0_30]), c_0_33]), c_0_34])]), c_0_35]), ['proof']).
% 2.13/2.48  thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 2.13/2.48  thf(0,theorem,((more @ ((pl @ x) @ z)) @ ((pl @ y) @ u)),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 2.13/2.48  % SZS output end Proof
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