TSTP Solution File: AGT037^2 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : AGT037^2 : 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 : n021.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 12:03:42 EDT 2022
% Result : Theorem 1.98s 2.59s
% Output : Proof 1.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : AGT037^2 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 4 03:28:48 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.98/2.59 % SZS status Theorem
% 1.98/2.59 % Mode: mode506
% 1.98/2.59 % Inferences: 22071
% 1.98/2.59 % SZS output start Proof
% 1.98/2.59 thf(def_meq_ind,definition,(meq_ind = (^[X1:mu]:(^[X2:mu]:(^[X3:$i]:(X1 = X2)))))).
% 1.98/2.59 thf(def_meq_prop,definition,(meq_prop = (^[X1:$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:((X1 @ X3) = (X2 @ X3))))))).
% 1.98/2.59 thf(def_mnot,definition,(mnot = (^[X1:$i>$o]:(^[X2:$i]:(~((X1 @ X2))))))).
% 1.98/2.59 thf(def_mor,definition,(mor = (^[X1:$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:((~((X1 @ X3))) => (X2 @ X3))))))).
% 1.98/2.59 thf(def_mand,definition,(mand = (^[X1:$i>$o]:(^[X2:$i>$o]:(mnot @ ((mor @ (mnot @ X1)) @ (mnot @ X2))))))).
% 1.98/2.59 thf(def_mimplies,definition,(mimplies = (^[X1:$i>$o]:(mor @ (mnot @ X1))))).
% 1.98/2.59 thf(def_mimplied,definition,(mimplied = (^[X1:$i>$o]:(^[X2:$i>$o]:((mor @ (mnot @ X2)) @ X1))))).
% 1.98/2.59 thf(def_mequiv,definition,(mequiv = (^[X1:$i>$o]:(^[X2:$i>$o]:((mand @ ((mimplies @ X1) @ X2)) @ ((mimplies @ X2) @ X1)))))).
% 1.98/2.59 thf(def_mxor,definition,(mxor = (^[X1:$i>$o]:(^[X2:$i>$o]:(mnot @ ((mequiv @ X1) @ X2)))))).
% 1.98/2.59 thf(def_mforall_ind,definition,(mforall_ind = (^[X1:mu>$i>$o]:(^[X2:$i]:(![X3:mu]:((X1 @ X3) @ X2)))))).
% 1.98/2.59 thf(def_mforall_prop,definition,(mforall_prop = (^[X1:($i>$o)>$i>$o]:(^[X2:$i]:(![X3:$i>$o]:((X1 @ X3) @ X2)))))).
% 1.98/2.59 thf(def_mexists_ind,definition,(mexists_ind = (^[X1:mu>$i>$o]:(mnot @ (mforall_ind @ (^[X2:mu]:(mnot @ (X1 @ X2)))))))).
% 1.98/2.59 thf(def_mexists_prop,definition,(mexists_prop = (^[X1:($i>$o)>$i>$o]:(mnot @ (mforall_prop @ (^[X2:$i>$o]:(mnot @ (X1 @ X2)))))))).
% 1.98/2.59 thf(def_mtrue,definition,(mtrue = (^[X1:$i]:(~($false))))).
% 1.98/2.59 thf(def_mfalse,definition,(mfalse = (mnot @ mtrue))).
% 1.98/2.59 thf(def_mbox,definition,(mbox = (^[X1:$i>$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:(![X4:$i]:(((X1 @ X3) @ X4) => (X2 @ X4)))))))).
% 1.98/2.59 thf(def_mdia,definition,(mdia = (^[X1:$i>$i>$o]:(^[X2:$i>$o]:(mnot @ ((mbox @ X1) @ (mnot @ X2))))))).
% 1.98/2.59 thf(def_mreflexive,definition,(mreflexive = (^[X1:$i>$i>$o]:(![X2:$i]:((X1 @ X2) @ X2))))).
% 1.98/2.59 thf(def_msymmetric,definition,(msymmetric = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(((X1 @ X2) @ X3) => ((X1 @ X3) @ X2))))))).
% 1.98/2.59 thf(def_mserial,definition,(mserial = (^[X1:$i>$i>$o]:(![X2:$i]:(~((![X3:$i]:(~(((X1 @ X2) @ X3)))))))))).
% 1.98/2.59 thf(def_mtransitive,definition,(mtransitive = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X3) @ X4)))))) => ((X1 @ X2) @ X4)))))))).
% 1.98/2.59 thf(def_meuclidean,definition,(meuclidean = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X2) @ X4)))))) => ((X1 @ X3) @ X4)))))))).
% 1.98/2.59 thf(def_mpartially_functional,definition,(mpartially_functional = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X2) @ X4)))))) => (X3 = X4)))))))).
% 1.98/2.59 thf(def_mfunctional,definition,(mfunctional = (^[X1:$i>$i>$o]:(![X2:$i]:(~((![X3:$i]:(((X1 @ X2) @ X3) => (~((![X4:$i]:(((X1 @ X2) @ X4) => (X3 = X4))))))))))))).
% 1.98/2.59 thf(def_mweakly_dense,definition,(mweakly_dense = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:(((X1 @ X2) @ X3) => (~((![X5:$i]:(((X1 @ X2) @ X5) => (~(((X1 @ X5) @ X3)))))))))))))).
% 1.98/2.59 thf(def_mweakly_connected,definition,(mweakly_connected = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X2) @ X4)))))) => ((~(((~(((X1 @ X3) @ X4))) => (X3 = X4)))) => ((X1 @ X4) @ X3))))))))).
% 1.98/2.59 thf(def_mweakly_directed,definition,(mweakly_directed = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X2) @ X4)))))) => (~((![X5:$i]:(((X1 @ X3) @ X5) => (~(((X1 @ X4) @ X5)))))))))))))).
% 1.98/2.59 thf(def_mvalid,definition,(mvalid = (!!))).
% 1.98/2.59 thf(def_minvalid,definition,(minvalid = (^[X1:$i>$o]:(![X2:$i]:(~((X1 @ X2))))))).
% 1.98/2.59 thf(def_msatisfiable,definition,(msatisfiable = (^[X1:$i>$o]:(~((![X2:$i]:(~((X1 @ X2))))))))).
% 1.98/2.59 thf(def_mcountersatisfiable,definition,(mcountersatisfiable = (^[X1:$i>$o]:(~(((!!) @ X1)))))).
% 1.98/2.59 thf(conj,conjecture,((!!) @ ((possibly_likes @ jan) @ cola))).
% 1.98/2.59 thf(h0,negated_conjecture,(~(((!!) @ ((possibly_likes @ jan) @ cola)))),inference(assume_negation,[status(cth)],[conj])).
% 1.98/2.59 thf(ax1117, axiom, (~(p19)|p24), file('<stdin>', ax1117)).
% 1.98/2.59 thf(ax1118, axiom, (~(p24)|p23), file('<stdin>', ax1118)).
% 1.98/2.59 thf(ax1122, axiom, p19, file('<stdin>', ax1122)).
% 1.98/2.59 thf(ax1119, axiom, (~(p23)|p22), file('<stdin>', ax1119)).
% 1.98/2.59 thf(ax1121, axiom, (p1|~(p20)), file('<stdin>', ax1121)).
% 1.98/2.59 thf(ax1140, axiom, ~(p1), file('<stdin>', ax1140)).
% 1.98/2.59 thf(ax1101, axiom, (~(p12)|~(p40)), file('<stdin>', ax1101)).
% 1.98/2.59 thf(ax1120, axiom, (~(p22)|p21|p20), file('<stdin>', ax1120)).
% 1.98/2.59 thf(ax1051, axiom, (p40|~(p89)), file('<stdin>', ax1051)).
% 1.98/2.59 thf(ax1129, axiom, p12, file('<stdin>', ax1129)).
% 1.98/2.59 thf(ax1100, axiom, (~(p11)|p41), file('<stdin>', ax1100)).
% 1.98/2.59 thf(ax289, axiom, (~(p21)|p751), file('<stdin>', ax289)).
% 1.98/2.59 thf(nax89, axiom, (p89<=(fa3 @ f__0 @ f__1=>~(flikes @ fpiotr @ fpepsi @ f__1))), file('<stdin>', nax89)).
% 1.98/2.59 thf(ax314, axiom, (~(p41)|p727), file('<stdin>', ax314)).
% 1.98/2.59 thf(ax1130, axiom, p11, file('<stdin>', ax1130)).
% 1.98/2.59 thf(pax751, axiom, (p751=>(fa3 @ f__0 @ f__1=>~(flikes @ fjan @ fcola @ f__1))), file('<stdin>', pax751)).
% 1.98/2.59 thf(pax727, axiom, (p727=>(fa3 @ f__0 @ f__1=>flikes @ fjan @ fcola @ f__1)), file('<stdin>', pax727)).
% 1.98/2.59 thf(c_0_17, plain, (~p19|p24), inference(fof_simplification,[status(thm)],[ax1117])).
% 1.98/2.59 thf(c_0_18, plain, (~p24|p23), inference(fof_simplification,[status(thm)],[ax1118])).
% 1.98/2.59 thf(c_0_19, plain, (p24|~p19), inference(split_conjunct,[status(thm)],[c_0_17])).
% 1.98/2.59 thf(c_0_20, plain, p19, inference(split_conjunct,[status(thm)],[ax1122])).
% 1.98/2.59 thf(c_0_21, plain, (~p23|p22), inference(fof_simplification,[status(thm)],[ax1119])).
% 1.98/2.59 thf(c_0_22, plain, (p23|~p24), inference(split_conjunct,[status(thm)],[c_0_18])).
% 1.98/2.59 thf(c_0_23, plain, p24, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19, c_0_20])])).
% 1.98/2.59 thf(c_0_24, plain, (p1|~p20), inference(fof_simplification,[status(thm)],[ax1121])).
% 1.98/2.59 thf(c_0_25, plain, ~p1, inference(fof_simplification,[status(thm)],[ax1140])).
% 1.98/2.59 thf(c_0_26, plain, (~p12|~p40), inference(fof_simplification,[status(thm)],[ax1101])).
% 1.98/2.59 thf(c_0_27, plain, (~p22|p21|p20), inference(fof_simplification,[status(thm)],[ax1120])).
% 1.98/2.59 thf(c_0_28, plain, (p22|~p23), inference(split_conjunct,[status(thm)],[c_0_21])).
% 1.98/2.59 thf(c_0_29, plain, p23, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22, c_0_23])])).
% 1.98/2.59 thf(c_0_30, plain, (p1|~p20), inference(split_conjunct,[status(thm)],[c_0_24])).
% 1.98/2.59 thf(c_0_31, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_25])).
% 1.98/2.59 thf(c_0_32, plain, (p40|~p89), inference(fof_simplification,[status(thm)],[ax1051])).
% 1.98/2.59 thf(c_0_33, plain, (~p12|~p40), inference(split_conjunct,[status(thm)],[c_0_26])).
% 1.98/2.59 thf(c_0_34, plain, p12, inference(split_conjunct,[status(thm)],[ax1129])).
% 1.98/2.59 thf(c_0_35, plain, (~p11|p41), inference(fof_simplification,[status(thm)],[ax1100])).
% 1.98/2.59 thf(c_0_36, plain, (~p21|p751), inference(fof_simplification,[status(thm)],[ax289])).
% 1.98/2.59 thf(c_0_37, plain, (p21|p20|~p22), inference(split_conjunct,[status(thm)],[c_0_27])).
% 1.98/2.59 thf(c_0_38, plain, p22, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28, c_0_29])])).
% 1.98/2.59 thf(c_0_39, plain, ~p20, inference(sr,[status(thm)],[c_0_30, c_0_31])).
% 1.98/2.59 thf(c_0_40, plain, ((fa3 @ f__0 @ f__1|p89)&(flikes @ fpiotr @ fpepsi @ f__1|p89)), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax89])])])).
% 1.98/2.59 thf(c_0_41, plain, (p40|~p89), inference(split_conjunct,[status(thm)],[c_0_32])).
% 1.98/2.59 thf(c_0_42, plain, ~p40, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33, c_0_34])])).
% 1.98/2.59 thf(c_0_43, plain, (~p41|p727), inference(fof_simplification,[status(thm)],[ax314])).
% 1.98/2.59 thf(c_0_44, plain, (p41|~p11), inference(split_conjunct,[status(thm)],[c_0_35])).
% 1.98/2.59 thf(c_0_45, plain, p11, inference(split_conjunct,[status(thm)],[ax1130])).
% 1.98/2.59 thf(c_0_46, plain, (~p751|(~fa3 @ f__0 @ f__1|~flikes @ fjan @ fcola @ f__1)), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax751])])).
% 1.98/2.59 thf(c_0_47, plain, (p751|~p21), inference(split_conjunct,[status(thm)],[c_0_36])).
% 1.98/2.59 thf(c_0_48, plain, p21, inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37, c_0_38])]), c_0_39])).
% 1.98/2.59 thf(c_0_49, plain, (fa3 @ f__0 @ f__1|p89), inference(split_conjunct,[status(thm)],[c_0_40])).
% 1.98/2.59 thf(c_0_50, plain, ~p89, inference(sr,[status(thm)],[c_0_41, c_0_42])).
% 1.98/2.59 thf(c_0_51, plain, (~p727|(~fa3 @ f__0 @ f__1|flikes @ fjan @ fcola @ f__1)), inference(fof_nnf,[status(thm)],[pax727])).
% 1.98/2.59 thf(c_0_52, plain, (p727|~p41), inference(split_conjunct,[status(thm)],[c_0_43])).
% 1.98/2.59 thf(c_0_53, plain, p41, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44, c_0_45])])).
% 1.98/2.59 thf(c_0_54, plain, (~p751|~fa3 @ f__0 @ f__1|~flikes @ fjan @ fcola @ f__1), inference(split_conjunct,[status(thm)],[c_0_46])).
% 1.98/2.59 thf(c_0_55, plain, p751, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47, c_0_48])])).
% 1.98/2.59 thf(c_0_56, plain, fa3 @ f__0 @ f__1, inference(sr,[status(thm)],[c_0_49, c_0_50])).
% 1.98/2.59 thf(c_0_57, plain, (flikes @ fjan @ fcola @ f__1|~p727|~fa3 @ f__0 @ f__1), inference(split_conjunct,[status(thm)],[c_0_51])).
% 1.98/2.59 thf(c_0_58, plain, p727, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52, c_0_53])])).
% 1.98/2.59 thf(c_0_59, plain, ~flikes @ fjan @ fcola @ f__1, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_54, c_0_55]), c_0_56])])).
% 1.98/2.59 thf(c_0_60, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_57, c_0_58]), c_0_56])]), c_0_59]), ['proof']).
% 1.98/2.59 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 1.98/2.59 thf(0,theorem,((!!) @ ((possibly_likes @ jan) @ cola)),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 1.98/2.59 % SZS output end Proof
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