0.03/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.13 % Command : run_Leo-III %s %d 0.12/0.33 % Computer : n024.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 : 1440 0.12/0.33 % WCLimit : 180 0.12/0.33 % DateTime : Mon Jul 3 03:44:24 EDT 2023 0.12/0.33 % CPUTime : 0.98/0.95 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 1.57/1.20 % [INFO] Parsing done (243ms). 1.57/1.21 % [INFO] Running in sequential loop mode. 2.17/1.56 % [INFO] eprover registered as external prover. 2.17/1.56 % [INFO] cvc4 registered as external prover. 2.17/1.57 % [INFO] Scanning for conjecture ... 2.80/1.82 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ... 2.81/1.88 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms). 2.81/1.88 % [INFO] Problem is higher-order (TPTP THF). 2.81/1.88 % [INFO] Type checking passed. 2.81/1.89 % [CONFIG] Using configuration: timeout(180) with strategy. Searching for refutation ... 6.46/3.16 % External prover 'e' found a proof! 6.46/3.16 % [INFO] Killing All external provers ... 6.46/3.16 % Time passed: 2679ms (effective reasoning time: 1950ms) 6.46/3.16 % Solved by strategy 6.46/3.16 % Axioms used in derivation (0): 6.46/3.16 % No. of inferences in proof: 4 6.46/3.17 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2679 ms resp. 1950 ms w/o parsing 6.91/3.25 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p 6.91/3.25 thf(in_type, type, in: ($i > ($i > $o))). 6.91/3.25 thf(setextAx_type, type, setextAx: $o). 6.91/3.25 thf(setextAx_def, definition, (setextAx = (! [A:$i,B:$i]: ((! [C:$i]: ((in @ C @ A) = (in @ C @ B))) => (A = B))))). 6.91/3.25 thf(emptyset_type, type, emptyset: $i). 6.91/3.25 thf(emptysetAx_type, type, emptysetAx: $o). 6.91/3.25 thf(emptysetAx_def, definition, (emptysetAx = (! [A:$i]: ~ (in @ A @ emptyset)))). 6.91/3.25 thf(setadjoin_type, type, setadjoin: ($i > ($i > $i))). 6.91/3.25 thf(setadjoinAx_type, type, setadjoinAx: $o). 6.91/3.25 thf(setadjoinAx_def, definition, (setadjoinAx = (! [A:$i,B:$i,C:$i]: ((in @ C @ (setadjoin @ A @ B)) = ((C = A) | (in @ C @ B)))))). 6.91/3.25 thf(powerset_type, type, powerset: ($i > $i)). 6.91/3.25 thf(powersetAx_type, type, powersetAx: $o). 6.91/3.25 thf(powersetAx_def, definition, (powersetAx = (! [A:$i,B:$i]: ((in @ B @ (powerset @ A)) = (! [C:$i]: ((in @ C @ B) => (in @ C @ A))))))). 6.91/3.25 thf(setunion_type, type, setunion: ($i > $i)). 6.91/3.25 thf(setunionAx_type, type, setunionAx: $o). 6.91/3.25 thf(setunionAx_def, definition, (setunionAx = (! [A:$i,B:$i]: ((in @ B @ (setunion @ A)) = (? [C:$i]: ((in @ B @ C) & (in @ C @ A))))))). 6.91/3.25 thf(omega_type, type, omega: $i). 6.91/3.25 thf(omega0Ax_type, type, omega0Ax: $o). 6.91/3.25 thf(omega0Ax_def, definition, (omega0Ax = (in @ emptyset @ omega))). 6.91/3.25 thf(omegaSAx_type, type, omegaSAx: $o). 6.91/3.25 thf(omegaSAx_def, definition, (omegaSAx = (! [A:$i]: ((in @ A @ omega) => (in @ (setadjoin @ A @ A) @ omega))))). 6.91/3.25 thf(omegaIndAx_type, type, omegaIndAx: $o). 6.91/3.25 thf(omegaIndAx_def, definition, (omegaIndAx = (! [A:$i]: (((in @ emptyset @ A) & ! [B:$i]: (((in @ B @ omega) & (in @ B @ A)) => (in @ (setadjoin @ B @ B) @ A))) => (! [B:$i]: ((in @ B @ omega) => (in @ B @ A))))))). 6.91/3.25 thf(replAx_type, type, replAx: $o). 6.91/3.25 thf(replAx_def, definition, (replAx = (! [A:($i > ($i > $o)),B:$i]: ((! [C:$i]: ((in @ C @ B) => (exu @ (A @ C)))) => (? [C:$i]: ! [D:$i]: ((in @ D @ C) = (? [E:$i]: ((in @ E @ B) & (A @ E @ D))))))))). 6.91/3.25 thf(foundationAx_type, type, foundationAx: $o). 6.91/3.25 thf(foundationAx_def, definition, (foundationAx = (! [A:$i]: ((? [B:$i]: (in @ B @ A)) => (? [B:$i]: ((in @ B @ A) & ~ (? [C:$i]: ((in @ C @ B) & (in @ C @ A))))))))). 6.91/3.25 thf(wellorderingAx_type, type, wellorderingAx: $o). 6.91/3.25 thf(wellorderingAx_def, definition, (wellorderingAx = (! [A:$i]: ? [B:$i]: (! [C:$i]: ((in @ C @ B) => (! [D:$i]: ((in @ D @ C) => (in @ D @ A)))) & ! [C:$i,D:$i]: (((in @ C @ A) & (in @ D @ A)) => ((! [E:$i]: ((in @ E @ B) => ((in @ C @ E) = (in @ D @ E)))) => (C = D))) & ! [C:$i,D:$i]: (((in @ C @ B) & (in @ D @ B)) => (! [E:$i]: ((in @ E @ C) => (in @ E @ D)) | ! [E:$i]: ((in @ E @ D) => (in @ E @ C)))) & ! [C:$i]: ((! [D:$i]: ((in @ D @ C) => (in @ D @ A)) & ? [D:$i]: (in @ D @ C)) => (? [D:$i,E:$i]: ((in @ D @ B) & (in @ E @ C) & ~ (? [F:$i]: ((in @ F @ D) & (in @ F @ C))) & ! [F:$i]: ((in @ F @ B) => (! [G:$i]: ((in @ G @ F) => (in @ G @ D)) | (in @ E @ F)))))))))). 6.91/3.25 thf(descrp_type, type, descrp: $o). 6.91/3.25 thf(descrp_def, definition, (descrp = (! [A:($i > $o)]: ((exu @ (A)) => (A @ (descr @ (A))))))). 6.91/3.25 thf(dsetconstr_type, type, dsetconstr: ($i > (($i > $o) > $i))). 6.91/3.25 thf(dsetconstrI_type, type, dsetconstrI: $o). 6.91/3.25 thf(dsetconstrI_def, definition, (dsetconstrI = (! [A:$i,B:($i > $o),C:$i]: ((in @ C @ A) => ((B @ C) => (in @ C @ (dsetconstr @ A @ (B)))))))). 6.91/3.25 thf(dsetconstrEL_type, type, dsetconstrEL: $o). 6.91/3.25 thf(dsetconstrEL_def, definition, (dsetconstrEL = (! [A:$i,B:($i > $o),C:$i]: ((in @ C @ (dsetconstr @ A @ (B))) => (in @ C @ A))))). 6.91/3.25 thf(dsetconstrER_type, type, dsetconstrER: $o). 6.91/3.25 thf(dsetconstrER_def, definition, (dsetconstrER = (! [A:$i,B:($i > $o),C:$i]: ((in @ C @ (dsetconstr @ A @ (B))) => (B @ C))))). 6.91/3.25 thf(exuE1_type, type, exuE1: $o). 6.91/3.25 thf(exuE1_def, definition, (exuE1 = (! [A:($i > $o)]: ((exu @ (A)) => (? [B:$i]: ((A @ B) & ! [C:$i]: ((A @ C) => (B = C)))))))). 6.91/3.25 thf(prop2setE_type, type, prop2setE: $o). 6.91/3.25 thf(prop2setE_def, definition, (prop2setE = (! [A:$o,B:$i]: ((in @ B @ (prop2set @ A)) => (A))))). 6.91/3.25 thf(emptysetE_type, type, emptysetE: $o). 6.91/3.25 thf(emptysetE_def, definition, (emptysetE = (! [A:$i]: ((in @ A @ emptyset) => (! [B:$o]: (B)))))). 6.91/3.25 thf(emptysetimpfalse_type, type, emptysetimpfalse: $o). 6.91/3.25 thf(emptysetimpfalse_def, definition, (emptysetimpfalse = (! [A:$i]: ((in @ A @ emptyset) => (($false)))))). 6.91/3.25 thf(notinemptyset_type, type, notinemptyset: $o). 6.91/3.25 thf(notinemptyset_def, definition, (notinemptyset = (! [A:$i]: ~ (in @ A @ emptyset)))). 6.91/3.25 thf(exuE3e_type, type, exuE3e: $o). 6.91/3.25 thf(exuE3e_def, definition, (exuE3e = (! [A:($i > $o)]: ((exu @ (A)) => (? [B:$i]: (A @ B)))))). 6.91/3.25 thf(setext_type, type, setext: $o). 6.91/3.25 thf(setext_def, definition, (setext = (! [A:$i,B:$i]: ((! [C:$i]: ((in @ C @ A) => (in @ C @ B))) => ((! [C:$i]: ((in @ C @ B) => (in @ C @ A))) => (A = B)))))). 6.91/3.25 thf(emptyI_type, type, emptyI: $o). 6.91/3.25 thf(emptyI_def, definition, (emptyI = (! [A:$i]: ((! [B:$i]: ~ (in @ B @ A)) => (A = emptyset))))). 6.91/3.25 thf(noeltsimpempty_type, type, noeltsimpempty: $o). 6.91/3.25 thf(noeltsimpempty_def, definition, (noeltsimpempty = (! [A:$i]: ((! [B:$i]: ~ (in @ B @ A)) => (A = emptyset))))). 6.91/3.25 thf(setbeta_type, type, setbeta: $o). 6.91/3.25 thf(setbeta_def, definition, (setbeta = (! [A:$i,B:($i > $o),C:$i]: ((in @ C @ A) => ((in @ C @ (dsetconstr @ A @ (B))) = (B @ C)))))). 6.91/3.25 thf(nonemptyE1_type, type, nonemptyE1: $o). 6.91/3.25 thf(nonemptyE1_def, definition, (nonemptyE1 = (! [A:$i]: ((nonempty @ A) => (? [B:$i]: (in @ B @ A)))))). 6.91/3.25 thf(nonemptyI_type, type, nonemptyI: $o). 6.91/3.25 thf(nonemptyI_def, definition, (nonemptyI = (! [A:$i,B:($i > $o),C:$i]: ((in @ C @ A) => ((B @ C) => (nonempty @ (dsetconstr @ A @ (B)))))))). 6.91/3.25 thf(nonemptyI1_type, type, nonemptyI1: $o). 6.91/3.25 thf(nonemptyI1_def, definition, (nonemptyI1 = (! [A:$i]: ((? [B:$i]: (in @ B @ A)) => (nonempty @ A))))). 6.91/3.25 thf(setadjoinIL_type, type, setadjoinIL: $o). 6.91/3.25 thf(setadjoinIL_def, definition, (setadjoinIL = (! [A:$i,B:$i]: (in @ A @ (setadjoin @ A @ B))))). 6.91/3.25 thf(emptyinunitempty_type, type, emptyinunitempty: $o). 6.91/3.25 thf(emptyinunitempty_def, definition, (emptyinunitempty = (in @ emptyset @ (setadjoin @ emptyset @ emptyset)))). 6.91/3.25 thf(setadjoinIR_type, type, setadjoinIR: $o). 6.91/3.25 thf(setadjoinIR_def, definition, (setadjoinIR = (! [A:$i,B:$i,C:$i]: ((in @ C @ B) => (in @ C @ (setadjoin @ A @ B)))))). 6.91/3.25 thf(setadjoinE_type, type, setadjoinE: $o). 6.91/3.25 thf(setadjoinE_def, definition, (setadjoinE = (! [A:$i,B:$i,C:$i]: ((in @ C @ (setadjoin @ A @ B)) => (! [D:$o]: (((C = A) => (D)) => (((in @ C @ B) => (D)) => (D)))))))). 6.91/3.25 thf(setadjoinOr_type, type, setadjoinOr: $o). 6.91/3.25 thf(setadjoinOr_def, definition, (setadjoinOr = (! [A:$i,B:$i,C:$i]: ((in @ C @ (setadjoin @ A @ B)) => ((C = A) | (in @ C @ B)))))). 6.91/3.25 thf(setoftrueEq_type, type, setoftrueEq: $o). 6.91/3.25 thf(setoftrueEq_def, definition, (setoftrueEq = (! [A:$i]: ((dsetconstr @ A @ (^ [B:$i]: (($true)))) = A)))). 6.91/3.25 thf(powersetI_type, type, powersetI: $o). 6.91/3.25 thf(powersetI_def, definition, (powersetI = (! [A:$i,B:$i]: ((! [C:$i]: ((in @ C @ B) => (in @ C @ A))) => (in @ B @ (powerset @ A)))))). 6.91/3.25 thf(emptyinPowerset_type, type, emptyinPowerset: $o). 6.91/3.25 thf(emptyinPowerset_def, definition, (emptyinPowerset = (! [A:$i]: (in @ emptyset @ (powerset @ A))))). 6.91/3.25 thf(emptyInPowerset_type, type, emptyInPowerset: $o). 6.91/3.25 thf(emptyInPowerset_def, definition, (emptyInPowerset = (! [A:$i]: (in @ emptyset @ (powerset @ A))))). 6.91/3.25 thf(powersetE_type, type, powersetE: $o). 6.91/3.25 thf(powersetE_def, definition, (powersetE = (! [A:$i,B:$i,C:$i]: ((in @ B @ (powerset @ A)) => ((in @ C @ B) => (in @ C @ A)))))). 6.91/3.25 thf(setunionI_type, type, setunionI: $o). 6.91/3.25 thf(setunionI_def, definition, (setunionI = (! [A:$i,B:$i,C:$i]: ((in @ B @ C) => ((in @ C @ A) => (in @ B @ (setunion @ A))))))). 6.91/3.25 thf(setunionE_type, type, setunionE: $o). 6.91/3.25 thf(setunionE_def, definition, (setunionE = (! [A:$i,B:$i]: ((in @ B @ (setunion @ A)) => (! [C:$o]: ((! [D:$i]: ((in @ B @ D) => ((in @ D @ A) => (C)))) => (C))))))). 6.91/3.25 thf(subPowSU_type, type, subPowSU: $o). 6.91/3.25 thf(subPowSU_def, definition, (subPowSU = (! [A:$i,B:$i]: ((in @ B @ A) => (in @ B @ (powerset @ (setunion @ A))))))). 6.91/3.25 thf(exuE2_type, type, exuE2: $o). 6.91/3.25 thf(exuE2_def, definition, (exuE2 = (! [A:($i > $o)]: ((exu @ (A)) => (? [B:$i]: ! [C:$i]: ((A @ C) = (C = B))))))). 6.91/3.25 thf(nonemptyImpWitness_type, type, nonemptyImpWitness: $o). 6.91/3.25 thf(nonemptyImpWitness_def, definition, (nonemptyImpWitness = (! [A:$i]: ((nonempty @ A) => (? [B:$i]: ((in @ B @ A) & (($true)))))))). 6.91/3.25 thf(uniqinunit_type, type, uniqinunit: $o). 6.91/3.25 thf(uniqinunit_def, definition, (uniqinunit = (! [A:$i,B:$i]: ((in @ A @ (setadjoin @ B @ emptyset)) => (A = B))))). 6.91/3.25 thf(notinsingleton_type, type, notinsingleton: $o). 6.91/3.25 thf(notinsingleton_def, definition, (notinsingleton = (! [A:$i,B:$i]: ((A != B) => (~ (in @ B @ (setadjoin @ A @ emptyset))))))). 6.91/3.25 thf(eqinunit_type, type, eqinunit: $o). 6.91/3.25 thf(eqinunit_def, definition, (eqinunit = (! [A:$i,B:$i]: ((A = B) => (in @ A @ (setadjoin @ B @ emptyset)))))). 6.91/3.25 thf(1,conjecture,(((((setadjoinAx) => (((setunionAx) => (((((replAx) => (((wellorderingAx) => (((dsetconstrI) => (((dsetconstrER) => ((exuE1) => ((prop2setE) => ((((notinemptyset) => ((exuE3e) => ((setext) => ((emptyI) => ((noeltsimpempty) => ((setbeta) => ((((nonemptyI1) => (((emptyinunitempty) => ((setadjoinIR) => ((setadjoinE) => ((((powersetI) => ((emptyinPowerset) => (((((setunionE) => (((((uniqinunit) => (((! [A:$i,B:$i]: ((in @ A @ (setadjoin @ B @ emptyset)) => (in @ B @ (setadjoin @ A @ emptyset)))) <= (eqinunit)) <= (notinsingleton))) <= (nonemptyImpWitness)) <= (exuE2)) <= (subPowSU))) <= (setunionI)) <= (powersetE)) <= (emptyInPowerset)))) <= (setoftrueEq)) <= (setadjoinOr))))) <= (setadjoinIL))) <= (nonemptyI)) <= (nonemptyE1)))))))) <= (emptysetimpfalse)) <= (emptysetE))))) <= (dsetconstrEL))) <= (descrp))) <= (foundationAx))) <= (omegaIndAx)) <= (omegaSAx)) <= (omega0Ax))) <= (powersetAx))) <= (emptysetAx)) <= (setextAx))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',singletonsswitch)). 6.91/3.25 thf(2,negated_conjecture,((~ ((((setadjoinAx) => (((setunionAx) => (((((replAx) => (((wellorderingAx) => (((dsetconstrI) => (((dsetconstrER) => ((exuE1) => ((prop2setE) => ((((notinemptyset) => ((exuE3e) => ((setext) => ((emptyI) => ((noeltsimpempty) => ((setbeta) => ((((nonemptyI1) => (((emptyinunitempty) => ((setadjoinIR) => ((setadjoinE) => ((((powersetI) => ((emptyinPowerset) => (((((setunionE) => (((((uniqinunit) => (((! [A:$i,B:$i]: ((in @ A @ (setadjoin @ B @ emptyset)) => (in @ B @ (setadjoin @ A @ emptyset)))) <= (eqinunit)) <= (notinsingleton))) <= (nonemptyImpWitness)) <= (exuE2)) <= (subPowSU))) <= (setunionI)) <= (powersetE)) <= (emptyInPowerset)))) <= (setoftrueEq)) <= (setadjoinOr))))) <= (setadjoinIL))) <= (nonemptyI)) <= (nonemptyE1)))))))) <= (emptysetimpfalse)) <= (emptysetE))))) <= (dsetconstrEL))) <= (descrp))) <= (foundationAx))) <= (omegaIndAx)) <= (omegaSAx)) <= (omega0Ax))) <= (powersetAx))) <= (emptysetAx)) <= (setextAx)))),inference(neg_conjecture,[status(cth)],[1])). 6.91/3.25 thf(3,plain,((~ (((! [A:$i,B:$i,C:$i]: ((in @ C @ (setadjoin @ A @ B)) = ((C = A) | (in @ C @ B)))) => (((! [A:$i,B:$i]: ((in @ B @ (setunion @ A)) = (? [C:$i]: ((in @ B @ C) & (in @ C @ A))))) => (((! [A:($i > ($i > $o)),B:$i]: ((! [C:$i]: ((in @ C @ B) => (? [D:$i]: ((A @ C @ D) & ! [E:$i]: ((A @ C @ E) => (D = E)))))) => (? [C:$i]: ! [D:$i]: ((in @ D @ C) = (? [E:$i]: ((in @ E @ B) & (A @ E @ D))))))) => (((! [A:$i]: ? [B:$i]: (! [C:$i]: ((in @ C @ B) => (! [D:$i]: ((in @ D @ C) => (in @ D @ A)))) & ! [C:$i,D:$i]: (((in @ C @ A) & (in @ D @ A)) => ((! [E:$i]: ((in @ E @ B) => ((in @ C @ E) = (in @ D @ E)))) => (C = D))) & ! [C:$i,D:$i]: (((in @ C @ B) & (in @ D @ B)) => (! [E:$i]: ((in @ E @ C) => (in @ E @ D)) | ! [E:$i]: ((in @ E @ D) => (in @ E @ C)))) & ! [C:$i]: ((! [D:$i]: ((in @ D @ C) => (in @ D @ A)) & ? [D:$i]: (in @ D @ C)) => (? [D:$i,E:$i]: ((in @ D @ B) & (in @ E @ C) & ~ (? [F:$i]: ((in @ F @ D) & (in @ F @ C))) & ! [F:$i]: ((in @ F @ B) => (! [G:$i]: ((in @ G @ F) => (in @ G @ D)) | (in @ E @ F)))))))) => (((! [A:$i,B:($i > $o),C:$i]: ((in @ C @ A) => ((B @ C) => (in @ C @ (dsetconstr @ A @ (B)))))) => (((! [A:$i,B:($i > $o),C:$i]: ((in @ C @ (dsetconstr @ A @ (B))) => (B @ C))) => ((! [A:$o,B:$i]: ((in @ B @ (dsetconstr @ (powerset @ emptyset) @ (^ [C:$i]: (A)))) => (A))) => (((! [A:$i]: ~ (in @ A @ emptyset)) => ((! [A:($i > $o)]: ((? [B:$i]: ((A @ B) & ! [C:$i]: ((A @ C) => (B = C)))) => (? [B:$i]: (A @ B)))) => ((! [A:$i,B:$i]: ((! [C:$i]: ((in @ C @ A) => (in @ C @ B))) => ((! [C:$i]: ((in @ C @ B) => (in @ C @ A))) => (A = B)))) => ((! [A:$i]: ((! [B:$i]: ~ (in @ B @ A)) => (A = emptyset))) => ((! [A:$i]: ((! [B:$i]: ~ (in @ B @ A)) => (A = emptyset))) => ((! [A:$i,B:($i > $o),C:$i]: ((in @ C @ A) => ((in @ C @ (dsetconstr @ A @ (B))) = (B @ C)))) => (((! [A:$i]: ((? [B:$i]: (in @ B @ A)) => (~ (A = emptyset)))) => (((in @ emptyset @ (setadjoin @ emptyset @ emptyset)) => ((! [A:$i,B:$i,C:$i]: ((in @ C @ B) => (in @ C @ (setadjoin @ A @ B)))) => ((! [A:$i,B:$i,C:$i]: ((in @ C @ (setadjoin @ A @ B)) => (! [D:$o]: (((C = A) => (D)) => (((in @ C @ B) => (D)) => (D)))))) => (((! [A:$i,B:$i]: ((! [C:$i]: ((in @ C @ B) => (in @ C @ A))) => (in @ B @ (powerset @ A)))) => ((! [A:$i]: (in @ emptyset @ (powerset @ A))) => (((! [A:$i,B:$i]: ((in @ B @ (setunion @ A)) => (! [C:$o]: ((! [D:$i]: ((in @ B @ D) => ((in @ D @ A) => (C)))) => (C))))) => (((! [A:$i,B:$i]: ((in @ A @ (setadjoin @ B @ emptyset)) => (A = B))) => (! [A:$i,B:$i]: ((in @ A @ (setadjoin @ B @ emptyset)) => (in @ B @ (setadjoin @ A @ emptyset))) | ~ (! [A:$i,B:$i]: ((A = B) => (in @ A @ (setadjoin @ B @ emptyset)))) | ~ (! [A:$i,B:$i]: ((~ (A = B)) => (~ (in @ B @ (setadjoin @ A @ emptyset))))))) | ~ (! [A:$i]: ((~ (A = emptyset)) => (? [B:$i]: (in @ B @ A)))) | ~ (! [A:($i > $o)]: ((? [B:$i]: ((A @ B) & ! [C:$i]: ((A @ C) => (B = C)))) => (? [B:$i]: ! [C:$i]: ((A @ C) = (C = B))))) | ~ (! [A:$i,B:$i]: ((in @ B @ A) => (in @ B @ (powerset @ (setunion @ A))))))) | ~ (! [A:$i,B:$i,C:$i]: ((in @ B @ C) => ((in @ C @ A) => (in @ B @ (setunion @ A))))) | ~ (! [A:$i,B:$i,C:$i]: ((in @ B @ (powerset @ A)) => ((in @ C @ B) => (in @ C @ A)))) | ~ (! [A:$i]: (in @ emptyset @ (powerset @ A)))))) | ~ (! [A:$i]: ((dsetconstr @ A @ (^ [B:$i]: (($true)))) = A)) | ~ (! [A:$i,B:$i,C:$i]: ((in @ C @ (setadjoin @ A @ B)) => ((C = A) | (in @ C @ B)))))))) | ~ (! [A:$i,B:$i]: (in @ A @ (setadjoin @ A @ B))))) | ~ (! [A:$i,B:($i > $o),C:$i]: ((in @ C @ A) => ((B @ C) => (~ ((dsetconstr @ A @ (B)) = emptyset))))) | ~ (! [A:$i]: ((~ (A = emptyset)) => (? [B:$i]: (in @ B @ A))))))))))) | ~ (! [A:$i]: ~ (in @ A @ emptyset)) | ~ (! [A:$i]: ((in @ A @ emptyset) => (! [B:$o]: (B))))))) | ~ (! [A:$i,B:($i > $o),C:$i]: ((in @ C @ (dsetconstr @ A @ (B))) => (in @ C @ A))))) | ~ (! [A:($i > $o)]: ((? [B:$i]: ((A @ B) & ! [C:$i]: ((A @ C) => (B = C)))) => (A @ (descr @ (A))))))) | ~ (! [A:$i]: ((? [B:$i]: (in @ B @ A)) => (? [B:$i]: ((in @ B @ A) & ~ (? [C:$i]: ((in @ C @ B) & (in @ C @ A))))))))) | ~ (! [A:$i]: (((in @ emptyset @ A) & ! [B:$i]: (((in @ B @ omega) & (in @ B @ A)) => (in @ (setadjoin @ B @ B) @ A))) => (! [B:$i]: ((in @ B @ omega) => (in @ B @ A))))) | ~ (! [A:$i]: ((in @ A @ omega) => (in @ (setadjoin @ A @ A) @ omega))) | ~ (in @ emptyset @ omega))) | ~ (! [A:$i,B:$i]: ((in @ B @ (powerset @ A)) = (! [C:$i]: ((in @ C @ B) => (in @ C @ A))))))) | ~ (! [A:$i]: ~ (in @ A @ emptyset)) | ~ (! [A:$i,B:$i]: ((! [C:$i]: ((in @ C @ A) = (in @ C @ B))) => (A = B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])). 6.91/3.25 thf(179,plain,(($false)),inference(e,[status(thm)],[3])). 6.91/3.25 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p 6.91/3.25 % [INFO] Killing All external provers ... 6.91/3.27 EOF