TSTP Solution File: AGT030^1 by Satallax---3.5
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- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : AGT030^1 : TPTP v8.1.0. Released v5.2.0.
% 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 : Thu Jul 14 12:03:41 EDT 2022
% Result : Theorem 79.33s 71.99s
% Output : Proof 79.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : AGT030^1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.14/0.34 % Computer : n017.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sat Jun 4 04:15:14 EDT 2022
% 0.14/0.34 % CPUTime :
% 79.33/71.99 % SZS status Theorem
% 79.33/71.99 % Mode: mode438:USE_SINE=true:SINE_TOLERANCE=2.0:SINE_GENERALITY_THRESHOLD=4:SINE_RANK_LIMIT=3.:SINE_DEPTH=0
% 79.33/71.99 % Inferences: 1057
% 79.33/71.99 % SZS output start Proof
% 79.33/71.99 thf(ty_mu, type, mu : $tType).
% 79.33/71.99 thf(ty_r4, type, r4 : ($i>$i>$o)).
% 79.33/71.99 thf(ty_eigen__0, type, eigen__0 : $i).
% 79.33/71.99 thf(ty_john, type, john : mu).
% 79.33/71.99 thf(ty_good_in_maths, type, good_in_maths : (mu>$i>$o)).
% 79.33/71.99 thf(ty_r1, type, r1 : ($i>$i>$o)).
% 79.33/71.99 thf(ty_maths_teacher, type, maths_teacher : (mu>$i>$o)).
% 79.33/71.99 thf(sP1,plain,sP1 <=> ((![X1:$i]:(((r1 @ eigen__0) @ X1) => ((good_in_maths @ john) @ X1))) => (~((![X1:$i]:(((r1 @ eigen__0) @ X1) => (~(((good_in_maths @ john) @ X1)))))))),introduced(definition,[new_symbols(definition,[sP1])])).
% 79.33/71.99 thf(sP2,plain,sP2 <=> (![X1:$i]:(![X2:$i>$o]:((![X3:$i]:(((r4 @ X1) @ X3) => (X2 @ X3))) => (![X3:$i]:(((r1 @ X1) @ X3) => (X2 @ X3)))))),introduced(definition,[new_symbols(definition,[sP2])])).
% 79.33/71.99 thf(sP3,plain,sP3 <=> (![X1:$i]:(![X2:$i>$o]:((![X3:$i]:(((r1 @ X1) @ X3) => (X2 @ X3))) => (~((![X3:$i]:(((r1 @ X1) @ X3) => (~((X2 @ X3)))))))))),introduced(definition,[new_symbols(definition,[sP3])])).
% 79.33/71.99 thf(sP4,plain,sP4 <=> ((![X1:$i]:(((r4 @ eigen__0) @ X1) => ((good_in_maths @ john) @ X1))) => (![X1:$i]:(((r1 @ eigen__0) @ X1) => ((good_in_maths @ john) @ X1)))),introduced(definition,[new_symbols(definition,[sP4])])).
% 79.33/71.99 thf(sP5,plain,sP5 <=> (![X1:mu]:(((maths_teacher @ X1) @ eigen__0) => (![X2:$i]:(((r4 @ eigen__0) @ X2) => ((good_in_maths @ X1) @ X2))))),introduced(definition,[new_symbols(definition,[sP5])])).
% 79.33/71.99 thf(sP6,plain,sP6 <=> (![X1:$i]:(((r1 @ eigen__0) @ X1) => (~(((good_in_maths @ john) @ X1))))),introduced(definition,[new_symbols(definition,[sP6])])).
% 79.33/71.99 thf(sP7,plain,sP7 <=> ((maths_teacher @ john) @ eigen__0),introduced(definition,[new_symbols(definition,[sP7])])).
% 79.33/71.99 thf(sP8,plain,sP8 <=> (![X1:$i]:(![X2:mu]:(((maths_teacher @ X2) @ X1) => (![X3:$i]:(((r4 @ X1) @ X3) => ((good_in_maths @ X2) @ X3)))))),introduced(definition,[new_symbols(definition,[sP8])])).
% 79.33/71.99 thf(sP9,plain,sP9 <=> (![X1:$i>$o]:((![X2:$i]:(((r4 @ eigen__0) @ X2) => (X1 @ X2))) => (![X2:$i]:(((r1 @ eigen__0) @ X2) => (X1 @ X2))))),introduced(definition,[new_symbols(definition,[sP9])])).
% 79.33/71.99 thf(sP10,plain,sP10 <=> (![X1:$i>$o]:((![X2:$i]:(((r1 @ eigen__0) @ X2) => (X1 @ X2))) => (~((![X2:$i]:(((r1 @ eigen__0) @ X2) => (~((X1 @ X2))))))))),introduced(definition,[new_symbols(definition,[sP10])])).
% 79.33/71.99 thf(sP11,plain,sP11 <=> (![X1:mu]:(![X2:$i]:(((r1 @ eigen__0) @ X2) => (~(((good_in_maths @ X1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP11])])).
% 79.33/71.99 thf(sP12,plain,sP12 <=> (![X1:$i]:(((r4 @ eigen__0) @ X1) => ((good_in_maths @ john) @ X1))),introduced(definition,[new_symbols(definition,[sP12])])).
% 79.33/71.99 thf(sP13,plain,sP13 <=> (sP7 => sP12),introduced(definition,[new_symbols(definition,[sP13])])).
% 79.33/71.99 thf(sP14,plain,sP14 <=> (![X1:$i]:(((r1 @ eigen__0) @ X1) => ((good_in_maths @ john) @ X1))),introduced(definition,[new_symbols(definition,[sP14])])).
% 79.33/71.99 thf(sP15,plain,sP15 <=> ((!!) @ (maths_teacher @ john)),introduced(definition,[new_symbols(definition,[sP15])])).
% 79.33/71.99 thf(def_mnot,definition,(mnot = (^[X1:$i>$o]:(^[X2:$i]:(~((X1 @ X2))))))).
% 79.33/71.99 thf(def_mor,definition,(mor = (^[X1:$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:((~((X1 @ X3))) => (X2 @ X3))))))).
% 79.33/71.99 thf(def_mimplies,definition,(mimplies = (^[X1:$i>$o]:(mor @ (mnot @ X1))))).
% 79.33/71.99 thf(def_mforall_ind,definition,(mforall_ind = (^[X1:mu>$i>$o]:(^[X2:$i]:(![X3:mu]:((X1 @ X3) @ X2)))))).
% 79.33/71.99 thf(def_mforall_prop,definition,(mforall_prop = (^[X1:($i>$o)>$i>$o]:(^[X2:$i]:(![X3:$i>$o]:((X1 @ X3) @ X2)))))).
% 79.33/71.99 thf(def_mexists_ind,definition,(mexists_ind = (^[X1:mu>$i>$o]:(mnot @ (mforall_ind @ (^[X2:mu]:(mnot @ (X1 @ X2)))))))).
% 79.33/71.99 thf(def_mbox,definition,(mbox = (^[X1:$i>$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:(![X4:$i]:(((X1 @ X3) @ X4) => (X2 @ X4)))))))).
% 79.33/71.99 thf(def_mdia,definition,(mdia = (^[X1:$i>$i>$o]:(^[X2:$i>$o]:(mnot @ ((mbox @ X1) @ (mnot @ X2))))))).
% 79.33/71.99 thf(def_mvalid,definition,(mvalid = (!!))).
% 79.33/71.99 thf(conj,conjecture,(![X1:$i]:(~((![X2:mu]:(~((~((![X3:$i]:(((r1 @ X1) @ X3) => (~(((good_in_maths @ X2) @ X3)))))))))))))).
% 79.33/71.99 thf(h0,negated_conjecture,(~((![X1:$i]:(~((![X2:mu]:(![X3:$i]:(((r1 @ X1) @ X3) => (~(((good_in_maths @ X2) @ X3))))))))))),inference(assume_negation,[status(cth)],[conj])).
% 79.33/71.99 thf(h1,assumption,sP11,introduced(assumption,[])).
% 79.33/71.99 thf(1,plain,(~(sP9) | sP4),inference(all_rule,[status(thm)],[])).
% 79.33/71.99 thf(2,plain,((~(sP4) | ~(sP12)) | sP14),inference(prop_rule,[status(thm)],[])).
% 79.33/71.99 thf(3,plain,(~(sP2) | sP9),inference(all_rule,[status(thm)],[])).
% 79.33/71.99 thf(4,plain,(~(sP3) | sP10),inference(all_rule,[status(thm)],[])).
% 79.33/71.99 thf(5,plain,(~(sP10) | sP1),inference(all_rule,[status(thm)],[])).
% 79.33/71.99 thf(6,plain,((~(sP1) | ~(sP14)) | ~(sP6)),inference(prop_rule,[status(thm)],[])).
% 79.33/71.99 thf(7,plain,((~(sP13) | ~(sP7)) | sP12),inference(prop_rule,[status(thm)],[])).
% 79.33/71.99 thf(8,plain,(~(sP5) | sP13),inference(all_rule,[status(thm)],[])).
% 79.33/71.99 thf(9,plain,(~(sP8) | sP5),inference(all_rule,[status(thm)],[])).
% 79.33/71.99 thf(10,plain,(~(sP15) | sP7),inference(all_rule,[status(thm)],[])).
% 79.33/71.99 thf(11,plain,(~(sP11) | sP6),inference(all_rule,[status(thm)],[])).
% 79.33/71.99 thf(axiom_r1,axiom,(mvalid @ (mforall_ind @ (^[X1:mu]:((mimplies @ (maths_teacher @ X1)) @ ((mbox @ r4) @ (good_in_maths @ X1))))))).
% 79.33/71.99 thf(12,plain,sP8,inference(preprocess,[status(thm)],[axiom_r1]).
% 79.33/71.99 thf(axiom_a6,axiom,(mvalid @ (maths_teacher @ john))).
% 79.33/71.99 thf(13,plain,sP15,inference(preprocess,[status(thm)],[axiom_a6]).
% 79.33/71.99 thf(axiom_D_for_r1,axiom,(mvalid @ (mforall_prop @ (^[X1:$i>$o]:((mimplies @ ((mbox @ r1) @ X1)) @ (mnot @ ((mbox @ r1) @ (mnot @ X1)))))))).
% 79.33/71.99 thf(14,plain,sP3,inference(preprocess,[status(thm)],[axiom_D_for_r1]).
% 79.33/71.99 thf(axiom_I_for_r4_r1,axiom,(mvalid @ (mforall_prop @ (^[X1:$i>$o]:((mimplies @ ((mbox @ r4) @ X1)) @ ((mbox @ r1) @ X1)))))).
% 79.33/71.99 thf(15,plain,sP2,inference(preprocess,[status(thm)],[axiom_I_for_r4_r1]).
% 79.33/71.99 thf(16,plain,$false,inference(prop_unsat,[status(thm),assumptions([h1,h0])],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,h1])).
% 79.33/71.99 thf(17,plain,$false,inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[h0,16,h1])).
% 79.33/71.99 thf(0,theorem,(![X1:$i]:(~((![X2:mu]:(~((~((![X3:$i]:(((r1 @ X1) @ X3) => (~(((good_in_maths @ X2) @ X3))))))))))))),inference(contra,[status(thm),contra(discharge,[h0])],[17,h0])).
% 79.33/71.99 % SZS output end Proof
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