TSTP Solution File: SEV235^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEV235^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n018.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 : 300s
% DateTime : Sun May 5 09:44:54 EDT 2024
% Result : Theorem 0.15s 0.34s
% Output : Refutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SEV235^5 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.31 % Computer : n018.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Fri May 3 12:15:01 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.15/0.31 % (18653)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.33 % (18660)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.33 % (18658)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.33 % (18657)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.33 % (18655)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.33 % (18654)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.33 % (18659)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.33 % (18657)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.15/0.33 % (18656)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.33 % Exception at run slice level% Exception at run slice level
% 0.15/0.33 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.33 % Exception at run slice level
% 0.15/0.33 % Exception at run slice levelUser error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.33
% 0.15/0.33 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.33
% 0.15/0.33 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.33 % (18656)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.15/0.33 % (18656)First to succeed.
% 0.15/0.33 % (18659)Also succeeded, but the first one will report.
% 0.15/0.34 % (18656)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18653"
% 0.15/0.34 % (18656)Refutation found. Thanks to Tanya!
% 0.15/0.34 % SZS status Theorem for theBenchmark
% 0.15/0.34 % SZS output start Proof for theBenchmark
% 0.15/0.34 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.15/0.34 thf(func_def_0, type, cE: $i > $o).
% 0.15/0.34 thf(func_def_1, type, cD: $i > $o).
% 0.15/0.34 thf(func_def_5, type, sK0: $i > $o).
% 0.15/0.34 thf(func_def_10, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
% 0.15/0.34 thf(func_def_11, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
% 0.15/0.34 thf(func_def_12, type, vAND: $o > $o > $o).
% 0.15/0.34 thf(func_def_13, type, vOR: $o > $o > $o).
% 0.15/0.34 thf(func_def_14, type, vIMP: $o > $o > $o).
% 0.15/0.34 thf(func_def_15, type, vNOT: $o > $o).
% 0.15/0.34 thf(func_def_16, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.15/0.34 thf(f234,plain,(
% 0.15/0.34 $false),
% 0.15/0.34 inference(avatar_sat_refutation,[],[f68,f73,f83,f92,f97,f106,f115,f129,f145,f162,f170,f183,f186,f233])).
% 0.15/0.34 thf(f233,plain,(
% 0.15/0.34 spl4_1 | spl4_2 | ~spl4_6),
% 0.15/0.34 inference(avatar_contradiction_clause,[],[f232])).
% 0.15/0.34 thf(f232,plain,(
% 0.15/0.34 $false | (spl4_1 | spl4_2 | ~spl4_6)),
% 0.15/0.34 inference(trivial_inequality_removal,[],[f227])).
% 0.15/0.34 thf(f227,plain,(
% 0.15/0.34 ($true != $true) | (spl4_1 | spl4_2 | ~spl4_6)),
% 0.15/0.34 inference(superposition,[],[f208,f95])).
% 0.15/0.34 thf(f95,plain,(
% 0.15/0.34 ($true = vAPP($i,$o,cE,sK1)) | ~spl4_6),
% 0.15/0.34 inference(avatar_component_clause,[],[f94])).
% 0.15/0.34 thf(f94,plain,(
% 0.15/0.34 spl4_6 <=> ($true = vAPP($i,$o,cE,sK1))),
% 0.15/0.34 introduced(avatar_definition,[new_symbols(naming,[spl4_6])])).
% 0.15/0.34 thf(f208,plain,(
% 0.15/0.34 ($true != vAPP($i,$o,cE,sK1)) | (spl4_1 | spl4_2)),
% 0.15/0.34 inference(trivial_inequality_removal,[],[f207])).
% 0.15/0.34 thf(f207,plain,(
% 0.15/0.34 ($true = $false) | ($true != vAPP($i,$o,cE,sK1)) | (spl4_1 | spl4_2)),
% 0.15/0.34 inference(forward_demodulation,[],[f203,f190])).
% 0.15/0.34 thf(f190,plain,(
% 0.15/0.34 ($false = vAPP($i,$o,sK0,sK2)) | spl4_2),
% 0.15/0.34 inference(trivial_inequality_removal,[],[f189])).
% 0.15/0.34 thf(f189,plain,(
% 0.15/0.34 ($true != $true) | ($false = vAPP($i,$o,sK0,sK2)) | spl4_2),
% 0.15/0.34 inference(superposition,[],[f62,f4])).
% 0.15/0.34 thf(f4,plain,(
% 0.15/0.34 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.15/0.34 introduced(fool_axiom,[])).
% 0.15/0.34 thf(f62,plain,(
% 0.15/0.34 ($true != vAPP($i,$o,sK0,sK2)) | spl4_2),
% 0.15/0.34 inference(avatar_component_clause,[],[f61])).
% 0.15/0.34 thf(f61,plain,(
% 0.15/0.34 spl4_2 <=> ($true = vAPP($i,$o,sK0,sK2))),
% 0.15/0.34 introduced(avatar_definition,[new_symbols(naming,[spl4_2])])).
% 0.15/0.34 thf(f203,plain,(
% 0.15/0.34 ($true != vAPP($i,$o,cE,sK1)) | ($true = vAPP($i,$o,sK0,sK2)) | spl4_1),
% 0.15/0.34 inference(trivial_inequality_removal,[],[f202])).
% 0.15/0.34 thf(f202,plain,(
% 0.15/0.34 ($true = $false) | ($true != vAPP($i,$o,cE,sK1)) | ($true = vAPP($i,$o,sK0,sK2)) | spl4_1),
% 0.15/0.34 inference(forward_demodulation,[],[f24,f188])).
% 0.15/0.34 thf(f188,plain,(
% 0.15/0.34 ($false = vAPP($i,$o,sK0,sK3)) | spl4_1),
% 0.15/0.34 inference(trivial_inequality_removal,[],[f187])).
% 0.15/0.34 thf(f187,plain,(
% 0.15/0.34 ($true != $true) | ($false = vAPP($i,$o,sK0,sK3)) | spl4_1),
% 0.15/0.34 inference(superposition,[],[f58,f4])).
% 0.15/0.34 thf(f58,plain,(
% 0.15/0.34 ($true != vAPP($i,$o,sK0,sK3)) | spl4_1),
% 0.15/0.34 inference(avatar_component_clause,[],[f57])).
% 0.15/0.34 thf(f57,plain,(
% 0.15/0.34 spl4_1 <=> ($true = vAPP($i,$o,sK0,sK3))),
% 0.15/0.34 introduced(avatar_definition,[new_symbols(naming,[spl4_1])])).
% 0.15/0.34 thf(f24,plain,(
% 0.15/0.34 ($true != vAPP($i,$o,cE,sK1)) | ($true = vAPP($i,$o,sK0,sK2)) | ($true = vAPP($i,$o,sK0,sK3))),
% 0.15/0.34 inference(cnf_transformation,[],[f15])).
% 0.15/0.34 thf(f15,plain,(
% 0.15/0.34 ((($true != vAPP($i,$o,cE,sK1)) & ($true = vAPP($i,$o,sK0,sK1))) | (($true != vAPP($i,$o,cD,sK2)) & ($true = vAPP($i,$o,sK0,sK2))) | ((($true != vAPP($i,$o,cE,sK3)) | ($true != vAPP($i,$o,cD,sK3))) & ($true = vAPP($i,$o,sK0,sK3)))) & ((! [X4] : (($true = vAPP($i,$o,cE,X4)) | ($true != vAPP($i,$o,sK0,X4))) & ! [X5] : (($true = vAPP($i,$o,cD,X5)) | ($true != vAPP($i,$o,sK0,X5)))) | ! [X6] : ((($true = vAPP($i,$o,cE,X6)) & ($true = vAPP($i,$o,cD,X6))) | ($true != vAPP($i,$o,sK0,X6))))),
% 0.15/0.34 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f10,f14,f13,f12,f11])).
% 0.15/0.34 thf(f11,plain,(
% 0.15/0.34 ? [X0 : $i > $o] : ((? [X1] : ((vAPP($i,$o,cE,X1) != $true) & (vAPP($i,$o,X0,X1) = $true)) | ? [X2] : (($true != vAPP($i,$o,cD,X2)) & ($true = vAPP($i,$o,X0,X2))) | ? [X3] : ((($true != vAPP($i,$o,cE,X3)) | ($true != vAPP($i,$o,cD,X3))) & ($true = vAPP($i,$o,X0,X3)))) & ((! [X4] : (($true = vAPP($i,$o,cE,X4)) | ($true != vAPP($i,$o,X0,X4))) & ! [X5] : (($true = vAPP($i,$o,cD,X5)) | ($true != vAPP($i,$o,X0,X5)))) | ! [X6] : ((($true = vAPP($i,$o,cE,X6)) & ($true = vAPP($i,$o,cD,X6))) | ($true != vAPP($i,$o,X0,X6))))) => ((? [X1] : ((vAPP($i,$o,cE,X1) != $true) & ($true = vAPP($i,$o,sK0,X1))) | ? [X2] : (($true != vAPP($i,$o,cD,X2)) & ($true = vAPP($i,$o,sK0,X2))) | ? [X3] : ((($true != vAPP($i,$o,cE,X3)) | ($true != vAPP($i,$o,cD,X3))) & ($true = vAPP($i,$o,sK0,X3)))) & ((! [X4] : (($true = vAPP($i,$o,cE,X4)) | ($true != vAPP($i,$o,sK0,X4))) & ! [X5] : (($true = vAPP($i,$o,cD,X5)) | ($true != vAPP($i,$o,sK0,X5)))) | ! [X6] : ((($true = vAPP($i,$o,cE,X6)) & ($true = vAPP($i,$o,cD,X6))) | ($true != vAPP($i,$o,sK0,X6)))))),
% 0.15/0.34 introduced(choice_axiom,[])).
% 0.15/0.34 thf(f12,plain,(
% 0.15/0.34 ? [X1] : ((vAPP($i,$o,cE,X1) != $true) & ($true = vAPP($i,$o,sK0,X1))) => (($true != vAPP($i,$o,cE,sK1)) & ($true = vAPP($i,$o,sK0,sK1)))),
% 0.15/0.34 introduced(choice_axiom,[])).
% 0.15/0.34 thf(f13,plain,(
% 0.15/0.34 ? [X2] : (($true != vAPP($i,$o,cD,X2)) & ($true = vAPP($i,$o,sK0,X2))) => (($true != vAPP($i,$o,cD,sK2)) & ($true = vAPP($i,$o,sK0,sK2)))),
% 0.15/0.34 introduced(choice_axiom,[])).
% 0.15/0.34 thf(f14,plain,(
% 0.15/0.34 ? [X3] : ((($true != vAPP($i,$o,cE,X3)) | ($true != vAPP($i,$o,cD,X3))) & ($true = vAPP($i,$o,sK0,X3))) => ((($true != vAPP($i,$o,cE,sK3)) | ($true != vAPP($i,$o,cD,sK3))) & ($true = vAPP($i,$o,sK0,sK3)))),
% 0.15/0.34 introduced(choice_axiom,[])).
% 0.15/0.34 thf(f10,plain,(
% 0.15/0.34 ? [X0 : $i > $o] : ((? [X1] : ((vAPP($i,$o,cE,X1) != $true) & (vAPP($i,$o,X0,X1) = $true)) | ? [X2] : (($true != vAPP($i,$o,cD,X2)) & ($true = vAPP($i,$o,X0,X2))) | ? [X3] : ((($true != vAPP($i,$o,cE,X3)) | ($true != vAPP($i,$o,cD,X3))) & ($true = vAPP($i,$o,X0,X3)))) & ((! [X4] : (($true = vAPP($i,$o,cE,X4)) | ($true != vAPP($i,$o,X0,X4))) & ! [X5] : (($true = vAPP($i,$o,cD,X5)) | ($true != vAPP($i,$o,X0,X5)))) | ! [X6] : ((($true = vAPP($i,$o,cE,X6)) & ($true = vAPP($i,$o,cD,X6))) | ($true != vAPP($i,$o,X0,X6)))))),
% 0.15/0.34 inference(rectify,[],[f9])).
% 0.15/0.34 thf(f9,plain,(
% 0.15/0.34 ? [X0 : $i > $o] : ((? [X2] : (($true != vAPP($i,$o,cE,X2)) & ($true = vAPP($i,$o,X0,X2))) | ? [X3] : (($true != vAPP($i,$o,cD,X3)) & ($true = vAPP($i,$o,X0,X3))) | ? [X1] : (((vAPP($i,$o,cE,X1) != $true) | (vAPP($i,$o,cD,X1) != $true)) & (vAPP($i,$o,X0,X1) = $true))) & ((! [X2] : (($true = vAPP($i,$o,cE,X2)) | ($true != vAPP($i,$o,X0,X2))) & ! [X3] : (($true = vAPP($i,$o,cD,X3)) | ($true != vAPP($i,$o,X0,X3)))) | ! [X1] : (((vAPP($i,$o,cE,X1) = $true) & (vAPP($i,$o,cD,X1) = $true)) | (vAPP($i,$o,X0,X1) != $true))))),
% 0.15/0.34 inference(flattening,[],[f8])).
% 0.15/0.34 thf(f8,plain,(
% 0.15/0.34 ? [X0 : $i > $o] : (((? [X2] : (($true != vAPP($i,$o,cE,X2)) & ($true = vAPP($i,$o,X0,X2))) | ? [X3] : (($true != vAPP($i,$o,cD,X3)) & ($true = vAPP($i,$o,X0,X3)))) | ? [X1] : (((vAPP($i,$o,cE,X1) != $true) | (vAPP($i,$o,cD,X1) != $true)) & (vAPP($i,$o,X0,X1) = $true))) & ((! [X2] : (($true = vAPP($i,$o,cE,X2)) | ($true != vAPP($i,$o,X0,X2))) & ! [X3] : (($true = vAPP($i,$o,cD,X3)) | ($true != vAPP($i,$o,X0,X3)))) | ! [X1] : (((vAPP($i,$o,cE,X1) = $true) & (vAPP($i,$o,cD,X1) = $true)) | (vAPP($i,$o,X0,X1) != $true))))),
% 0.15/0.34 inference(nnf_transformation,[],[f7])).
% 0.15/0.34 thf(f7,plain,(
% 0.15/0.34 ? [X0 : $i > $o] : (! [X1] : (((vAPP($i,$o,cE,X1) = $true) & (vAPP($i,$o,cD,X1) = $true)) | (vAPP($i,$o,X0,X1) != $true)) <~> (! [X2] : (($true = vAPP($i,$o,cE,X2)) | ($true != vAPP($i,$o,X0,X2))) & ! [X3] : (($true = vAPP($i,$o,cD,X3)) | ($true != vAPP($i,$o,X0,X3)))))),
% 0.15/0.34 inference(ennf_transformation,[],[f6])).
% 0.15/0.34 thf(f6,plain,(
% 0.15/0.34 ~! [X0 : $i > $o] : (! [X1] : ((vAPP($i,$o,X0,X1) = $true) => ((vAPP($i,$o,cE,X1) = $true) & (vAPP($i,$o,cD,X1) = $true))) <=> (! [X2] : (($true = vAPP($i,$o,X0,X2)) => ($true = vAPP($i,$o,cE,X2))) & ! [X3] : (($true = vAPP($i,$o,X0,X3)) => ($true = vAPP($i,$o,cD,X3)))))),
% 0.15/0.34 inference(fool_elimination,[],[f5])).
% 0.15/0.34 thf(f5,plain,(
% 0.15/0.34 ~! [X0 : $i > $o] : (! [X1] : (vAPP($i,$o,X0,X1) => (vAPP($i,$o,cE,X1) & vAPP($i,$o,cD,X1))) <=> (! [X2] : (vAPP($i,$o,X0,X2) => vAPP($i,$o,cE,X2)) & ! [X3] : (vAPP($i,$o,X0,X3) => vAPP($i,$o,cD,X3))))),
% 0.15/0.34 inference(rectify,[],[f2])).
% 0.15/0.34 thf(f2,negated_conjecture,(
% 0.15/0.34 ~! [X0 : $i > $o] : (! [X1] : (vAPP($i,$o,X0,X1) => (vAPP($i,$o,cE,X1) & vAPP($i,$o,cD,X1))) <=> (! [X1] : (vAPP($i,$o,X0,X1) => vAPP($i,$o,cE,X1)) & ! [X1] : (vAPP($i,$o,X0,X1) => vAPP($i,$o,cD,X1))))),
% 0.15/0.34 inference(negated_conjecture,[],[f1])).
% 0.15/0.34 thf(f1,conjecture,(
% 0.15/0.34 ! [X0 : $i > $o] : (! [X1] : (vAPP($i,$o,X0,X1) => (vAPP($i,$o,cE,X1) & vAPP($i,$o,cD,X1))) <=> (! [X1] : (vAPP($i,$o,X0,X1) => vAPP($i,$o,cE,X1)) & ! [X1] : (vAPP($i,$o,X0,X1) => vAPP($i,$o,cD,X1))))),
% 0.15/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM46A_pme)).
% 0.15/0.34 thf(f186,plain,(
% 0.15/0.34 ~spl4_8 | ~spl4_9 | ~spl4_4 | ~spl4_6),
% 0.15/0.34 inference(avatar_split_clause,[],[f185,f94,f70,f126,f122])).
% 0.15/0.34 thf(f122,plain,(
% 0.15/0.34 spl4_8 <=> ($true = vAPP($i,$o,cD,sK3))),
% 0.15/0.34 introduced(avatar_definition,[new_symbols(naming,[spl4_8])])).
% 0.15/0.34 thf(f126,plain,(
% 0.15/0.34 spl4_9 <=> ($true = vAPP($i,$o,cE,sK3))),
% 0.15/0.34 introduced(avatar_definition,[new_symbols(naming,[spl4_9])])).
% 0.15/0.34 thf(f70,plain,(
% 0.15/0.34 spl4_4 <=> ($true = vAPP($i,$o,cD,sK2))),
% 0.15/0.34 introduced(avatar_definition,[new_symbols(naming,[spl4_4])])).
% 0.15/0.34 thf(f185,plain,(
% 0.15/0.34 ($true != vAPP($i,$o,cD,sK2)) | ($true != vAPP($i,$o,cE,sK3)) | ($true != vAPP($i,$o,cD,sK3)) | ~spl4_6),
% 0.15/0.34 inference(trivial_inequality_removal,[],[f184])).
% 0.15/0.34 thf(f184,plain,(
% 0.15/0.34 ($true != $true) | ($true != vAPP($i,$o,cD,sK2)) | ($true != vAPP($i,$o,cE,sK3)) | ($true != vAPP($i,$o,cD,sK3)) | ~spl4_6),
% 0.15/0.34 inference(forward_demodulation,[],[f27,f95])).
% 0.15/0.34 thf(f27,plain,(
% 0.15/0.34 ($true != vAPP($i,$o,cE,sK1)) | ($true != vAPP($i,$o,cD,sK2)) | ($true != vAPP($i,$o,cE,sK3)) | ($true != vAPP($i,$o,cD,sK3))),
% 0.15/0.34 inference(cnf_transformation,[],[f15])).
% 0.15/0.34 thf(f183,plain,(
% 0.15/0.34 ~spl4_8 | ~spl4_9 | spl4_2 | ~spl4_6),
% 0.15/0.34 inference(avatar_split_clause,[],[f180,f94,f61,f126,f122])).
% 0.15/0.34 thf(f180,plain,(
% 0.15/0.34 ($true = vAPP($i,$o,sK0,sK2)) | ($true != vAPP($i,$o,cE,sK3)) | ($true != vAPP($i,$o,cD,sK3)) | ~spl4_6),
% 0.15/0.34 inference(trivial_inequality_removal,[],[f179])).
% 0.15/0.34 thf(f179,plain,(
% 0.15/0.34 ($true != $true) | ($true = vAPP($i,$o,sK0,sK2)) | ($true != vAPP($i,$o,cE,sK3)) | ($true != vAPP($i,$o,cD,sK3)) | ~spl4_6),
% 0.15/0.34 inference(forward_demodulation,[],[f25,f95])).
% 0.15/0.34 thf(f25,plain,(
% 0.15/0.34 ($true != vAPP($i,$o,cE,sK1)) | ($true = vAPP($i,$o,sK0,sK2)) | ($true != vAPP($i,$o,cE,sK3)) | ($true != vAPP($i,$o,cD,sK3))),
% 0.15/0.34 inference(cnf_transformation,[],[f15])).
% 0.15/0.34 thf(f170,plain,(
% 0.15/0.34 ~spl4_8 | ~spl4_9 | spl4_2 | spl4_6 | ~spl4_7),
% 0.15/0.34 inference(avatar_split_clause,[],[f165,f104,f94,f61,f126,f122])).
% 0.15/0.34 thf(f104,plain,(
% 0.15/0.34 spl4_7 <=> ! [X6] : (($true = vAPP($i,$o,cE,X6)) | ($true != vAPP($i,$o,sK0,X6)))),
% 0.15/0.34 introduced(avatar_definition,[new_symbols(naming,[spl4_7])])).
% 0.15/0.34 thf(f165,plain,(
% 0.15/0.34 ($true = vAPP($i,$o,sK0,sK2)) | ($true != vAPP($i,$o,cE,sK3)) | ($true != vAPP($i,$o,cD,sK3)) | (spl4_6 | ~spl4_7)),
% 0.15/0.34 inference(trivial_inequality_removal,[],[f164])).
% 0.15/0.34 thf(f164,plain,(
% 0.15/0.34 ($true = $false) | ($true = vAPP($i,$o,sK0,sK2)) | ($true != vAPP($i,$o,cE,sK3)) | ($true != vAPP($i,$o,cD,sK3)) | (spl4_6 | ~spl4_7)),
% 0.15/0.34 inference(forward_demodulation,[],[f21,f113])).
% 0.15/0.34 thf(f113,plain,(
% 0.15/0.34 ($false = vAPP($i,$o,sK0,sK1)) | (spl4_6 | ~spl4_7)),
% 0.15/0.34 inference(trivial_inequality_removal,[],[f112])).
% 0.15/0.34 thf(f112,plain,(
% 0.15/0.34 ($true != $true) | ($false = vAPP($i,$o,sK0,sK1)) | (spl4_6 | ~spl4_7)),
% 0.15/0.34 inference(superposition,[],[f109,f4])).
% 0.15/0.34 thf(f109,plain,(
% 0.15/0.34 ($true != vAPP($i,$o,sK0,sK1)) | (spl4_6 | ~spl4_7)),
% 0.15/0.34 inference(trivial_inequality_removal,[],[f108])).
% 0.15/0.34 thf(f108,plain,(
% 0.15/0.34 ($true = $false) | ($true != vAPP($i,$o,sK0,sK1)) | (spl4_6 | ~spl4_7)),
% 0.15/0.34 inference(superposition,[],[f99,f105])).
% 0.15/0.34 thf(f105,plain,(
% 0.15/0.34 ( ! [X6 : $i] : (($true = vAPP($i,$o,cE,X6)) | ($true != vAPP($i,$o,sK0,X6))) ) | ~spl4_7),
% 0.15/0.34 inference(avatar_component_clause,[],[f104])).
% 0.15/0.34 thf(f99,plain,(
% 0.15/0.34 ($false = vAPP($i,$o,cE,sK1)) | spl4_6),
% 0.15/0.34 inference(trivial_inequality_removal,[],[f98])).
% 0.15/0.34 thf(f98,plain,(
% 0.15/0.34 ($true != $true) | ($false = vAPP($i,$o,cE,sK1)) | spl4_6),
% 0.15/0.34 inference(superposition,[],[f96,f4])).
% 0.15/0.34 thf(f96,plain,(
% 0.15/0.34 ($true != vAPP($i,$o,cE,sK1)) | spl4_6),
% 0.15/0.34 inference(avatar_component_clause,[],[f94])).
% 0.15/0.34 thf(f21,plain,(
% 0.15/0.34 ($true = vAPP($i,$o,sK0,sK1)) | ($true = vAPP($i,$o,sK0,sK2)) | ($true != vAPP($i,$o,cE,sK3)) | ($true != vAPP($i,$o,cD,sK3))),
% 0.15/0.34 inference(cnf_transformation,[],[f15])).
% 0.15/0.34 thf(f162,plain,(
% 0.15/0.34 ~spl4_1 | ~spl4_7 | spl4_9),
% 0.15/0.34 inference(avatar_contradiction_clause,[],[f161])).
% 0.15/0.34 thf(f161,plain,(
% 0.15/0.34 $false | (~spl4_1 | ~spl4_7 | spl4_9)),
% 0.15/0.34 inference(trivial_inequality_removal,[],[f158])).
% 0.15/0.34 thf(f158,plain,(
% 0.15/0.34 ($true != $true) | (~spl4_1 | ~spl4_7 | spl4_9)),
% 0.15/0.34 inference(superposition,[],[f149,f59])).
% 0.15/0.34 thf(f59,plain,(
% 0.15/0.34 ($true = vAPP($i,$o,sK0,sK3)) | ~spl4_1),
% 0.15/0.34 inference(avatar_component_clause,[],[f57])).
% 0.15/0.34 thf(f149,plain,(
% 0.15/0.34 ($true != vAPP($i,$o,sK0,sK3)) | (~spl4_7 | spl4_9)),
% 0.15/0.34 inference(trivial_inequality_removal,[],[f146])).
% 0.15/0.34 thf(f146,plain,(
% 0.15/0.34 ($true != $true) | ($true != vAPP($i,$o,sK0,sK3)) | (~spl4_7 | spl4_9)),
% 0.15/0.34 inference(superposition,[],[f128,f105])).
% 0.15/0.34 thf(f128,plain,(
% 0.15/0.34 ($true != vAPP($i,$o,cE,sK3)) | spl4_9),
% 0.15/0.34 inference(avatar_component_clause,[],[f126])).
% 0.15/0.34 thf(f145,plain,(
% 0.15/0.34 ~spl4_1 | ~spl4_5 | spl4_8),
% 0.15/0.34 inference(avatar_contradiction_clause,[],[f144])).
% 0.15/0.34 thf(f144,plain,(
% 0.15/0.34 $false | (~spl4_1 | ~spl4_5 | spl4_8)),
% 0.15/0.34 inference(trivial_inequality_removal,[],[f141])).
% 0.15/0.34 thf(f141,plain,(
% 0.15/0.34 ($true != $true) | (~spl4_1 | ~spl4_5 | spl4_8)),
% 0.15/0.34 inference(superposition,[],[f133,f59])).
% 0.15/0.34 thf(f133,plain,(
% 0.15/0.34 ($true != vAPP($i,$o,sK0,sK3)) | (~spl4_5 | spl4_8)),
% 0.15/0.34 inference(trivial_inequality_removal,[],[f130])).
% 0.15/0.34 thf(f130,plain,(
% 0.15/0.34 ($true != $true) | ($true != vAPP($i,$o,sK0,sK3)) | (~spl4_5 | spl4_8)),
% 0.15/0.34 inference(superposition,[],[f124,f82])).
% 0.15/0.34 thf(f82,plain,(
% 0.15/0.34 ( ! [X6 : $i] : (($true = vAPP($i,$o,cD,X6)) | ($true != vAPP($i,$o,sK0,X6))) ) | ~spl4_5),
% 0.15/0.34 inference(avatar_component_clause,[],[f81])).
% 0.15/0.34 thf(f81,plain,(
% 0.15/0.34 spl4_5 <=> ! [X6] : (($true = vAPP($i,$o,cD,X6)) | ($true != vAPP($i,$o,sK0,X6)))),
% 0.15/0.34 introduced(avatar_definition,[new_symbols(naming,[spl4_5])])).
% 0.15/0.34 thf(f124,plain,(
% 0.15/0.34 ($true != vAPP($i,$o,cD,sK3)) | spl4_8),
% 0.15/0.34 inference(avatar_component_clause,[],[f122])).
% 0.15/0.34 thf(f129,plain,(
% 0.15/0.34 ~spl4_8 | ~spl4_9 | ~spl4_4 | spl4_6 | ~spl4_7),
% 0.15/0.34 inference(avatar_split_clause,[],[f120,f104,f94,f70,f126,f122])).
% 0.15/0.34 thf(f120,plain,(
% 0.15/0.34 ($true != vAPP($i,$o,cD,sK2)) | ($true != vAPP($i,$o,cE,sK3)) | ($true != vAPP($i,$o,cD,sK3)) | (spl4_6 | ~spl4_7)),
% 0.15/0.34 inference(trivial_inequality_removal,[],[f119])).
% 0.15/0.34 thf(f119,plain,(
% 0.15/0.34 ($true = $false) | ($true != vAPP($i,$o,cD,sK2)) | ($true != vAPP($i,$o,cE,sK3)) | ($true != vAPP($i,$o,cD,sK3)) | (spl4_6 | ~spl4_7)),
% 0.15/0.34 inference(forward_demodulation,[],[f23,f113])).
% 0.15/0.34 thf(f23,plain,(
% 0.15/0.34 ($true = vAPP($i,$o,sK0,sK1)) | ($true != vAPP($i,$o,cD,sK2)) | ($true != vAPP($i,$o,cE,sK3)) | ($true != vAPP($i,$o,cD,sK3))),
% 0.15/0.34 inference(cnf_transformation,[],[f15])).
% 0.15/0.34 thf(f115,plain,(
% 0.15/0.34 ~spl4_3 | spl4_6 | ~spl4_7),
% 0.15/0.34 inference(avatar_contradiction_clause,[],[f114])).
% 0.15/0.34 thf(f114,plain,(
% 0.15/0.34 $false | (~spl4_3 | spl4_6 | ~spl4_7)),
% 0.15/0.34 inference(trivial_inequality_removal,[],[f111])).
% 0.15/0.34 thf(f111,plain,(
% 0.15/0.34 ($true != $true) | (~spl4_3 | spl4_6 | ~spl4_7)),
% 0.15/0.34 inference(superposition,[],[f109,f67])).
% 0.15/0.34 thf(f67,plain,(
% 0.15/0.34 ($true = vAPP($i,$o,sK0,sK1)) | ~spl4_3),
% 0.15/0.34 inference(avatar_component_clause,[],[f65])).
% 0.15/0.34 thf(f65,plain,(
% 0.15/0.34 spl4_3 <=> ($true = vAPP($i,$o,sK0,sK1))),
% 0.15/0.34 introduced(avatar_definition,[new_symbols(naming,[spl4_3])])).
% 0.15/0.34 thf(f106,plain,(
% 0.15/0.34 spl4_7 | spl4_7),
% 0.15/0.34 inference(avatar_split_clause,[],[f19,f104,f104])).
% 0.15/0.34 thf(f19,plain,(
% 0.15/0.34 ( ! [X6 : $i,X4 : $i] : (($true = vAPP($i,$o,cE,X4)) | ($true != vAPP($i,$o,sK0,X4)) | ($true = vAPP($i,$o,cE,X6)) | ($true != vAPP($i,$o,sK0,X6))) )),
% 0.15/0.34 inference(cnf_transformation,[],[f15])).
% 0.15/0.34 thf(f97,plain,(
% 0.15/0.34 spl4_1 | ~spl4_4 | ~spl4_6),
% 0.15/0.34 inference(avatar_split_clause,[],[f26,f94,f70,f57])).
% 0.15/0.34 thf(f26,plain,(
% 0.15/0.34 ($true != vAPP($i,$o,cE,sK1)) | ($true != vAPP($i,$o,cD,sK2)) | ($true = vAPP($i,$o,sK0,sK3))),
% 0.15/0.34 inference(cnf_transformation,[],[f15])).
% 0.15/0.34 thf(f92,plain,(
% 0.15/0.34 ~spl4_2 | spl4_4 | ~spl4_5),
% 0.15/0.34 inference(avatar_contradiction_clause,[],[f91])).
% 0.15/0.34 thf(f91,plain,(
% 0.15/0.34 $false | (~spl4_2 | spl4_4 | ~spl4_5)),
% 0.15/0.34 inference(trivial_inequality_removal,[],[f88])).
% 0.15/0.34 thf(f88,plain,(
% 0.15/0.34 ($true != $true) | (~spl4_2 | spl4_4 | ~spl4_5)),
% 0.15/0.34 inference(superposition,[],[f86,f63])).
% 0.15/0.34 thf(f63,plain,(
% 0.15/0.34 ($true = vAPP($i,$o,sK0,sK2)) | ~spl4_2),
% 0.15/0.34 inference(avatar_component_clause,[],[f61])).
% 0.15/0.34 thf(f86,plain,(
% 0.15/0.34 ($true != vAPP($i,$o,sK0,sK2)) | (spl4_4 | ~spl4_5)),
% 0.15/0.34 inference(trivial_inequality_removal,[],[f85])).
% 0.15/0.34 thf(f85,plain,(
% 0.15/0.34 ($true = $false) | ($true != vAPP($i,$o,sK0,sK2)) | (spl4_4 | ~spl4_5)),
% 0.15/0.34 inference(superposition,[],[f75,f82])).
% 0.15/0.34 thf(f75,plain,(
% 0.15/0.34 ($false = vAPP($i,$o,cD,sK2)) | spl4_4),
% 0.15/0.34 inference(trivial_inequality_removal,[],[f74])).
% 0.15/0.34 thf(f74,plain,(
% 0.15/0.34 ($true != $true) | ($false = vAPP($i,$o,cD,sK2)) | spl4_4),
% 0.15/0.34 inference(superposition,[],[f72,f4])).
% 0.15/0.34 thf(f72,plain,(
% 0.15/0.34 ($true != vAPP($i,$o,cD,sK2)) | spl4_4),
% 0.15/0.34 inference(avatar_component_clause,[],[f70])).
% 0.15/0.34 thf(f83,plain,(
% 0.15/0.34 spl4_5 | spl4_5),
% 0.15/0.34 inference(avatar_split_clause,[],[f16,f81,f81])).
% 0.15/0.34 thf(f16,plain,(
% 0.15/0.34 ( ! [X6 : $i,X5 : $i] : (($true = vAPP($i,$o,cD,X5)) | ($true != vAPP($i,$o,sK0,X5)) | ($true = vAPP($i,$o,cD,X6)) | ($true != vAPP($i,$o,sK0,X6))) )),
% 0.15/0.34 inference(cnf_transformation,[],[f15])).
% 0.15/0.34 thf(f73,plain,(
% 0.15/0.34 spl4_1 | ~spl4_4 | spl4_3),
% 0.15/0.34 inference(avatar_split_clause,[],[f22,f65,f70,f57])).
% 0.15/0.34 thf(f22,plain,(
% 0.15/0.34 ($true = vAPP($i,$o,sK0,sK1)) | ($true != vAPP($i,$o,cD,sK2)) | ($true = vAPP($i,$o,sK0,sK3))),
% 0.15/0.34 inference(cnf_transformation,[],[f15])).
% 0.15/0.34 thf(f68,plain,(
% 0.15/0.34 spl4_1 | spl4_2 | spl4_3),
% 0.15/0.34 inference(avatar_split_clause,[],[f20,f65,f61,f57])).
% 0.15/0.34 thf(f20,plain,(
% 0.15/0.34 ($true = vAPP($i,$o,sK0,sK1)) | ($true = vAPP($i,$o,sK0,sK2)) | ($true = vAPP($i,$o,sK0,sK3))),
% 0.15/0.34 inference(cnf_transformation,[],[f15])).
% 0.15/0.34 % SZS output end Proof for theBenchmark
% 0.15/0.34 % (18656)------------------------------
% 0.15/0.34 % (18656)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.34 % (18656)Termination reason: Refutation
% 0.15/0.34
% 0.15/0.34 % (18656)Memory used [KB]: 866
% 0.15/0.34 % (18656)Time elapsed: 0.008 s
% 0.15/0.34 % (18656)Instructions burned: 14 (million)
% 0.15/0.34 % (18653)Success in time 0.02 s
%------------------------------------------------------------------------------