TSTP Solution File: SEV070^5 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEV070^5 : 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 09:43:49 EDT 2024
% Result : Theorem 0.13s 0.38s
% Output : Refutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SEV070^5 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 12:15:46 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % (21581)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (21585)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.37 % (21584)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)
% 0.13/0.37 % (21584)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.13/0.37 % (21585)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.13/0.37 % (21586)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.37 % Exception at run slice level
% 0.13/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.37 % (21587)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.37 % (21588)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)
% 0.13/0.38 % Exception at run slice level
% 0.13/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.38 % (21583)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.38 % Exception at run slice level
% 0.13/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.38 % (21584)First to succeed.
% 0.13/0.38 % (21584)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-21581"
% 0.13/0.38 % (21584)Refutation found. Thanks to Tanya!
% 0.13/0.38 % SZS status Theorem for theBenchmark
% 0.13/0.38 % SZS output start Proof for theBenchmark
% 0.13/0.38 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.13/0.38 thf(func_def_0, type, cS: $i > $i).
% 0.13/0.38 thf(func_def_7, type, sK3: $i > $o).
% 0.13/0.38 thf(func_def_8, type, sK4: ($i > $o) > $i).
% 0.13/0.38 thf(func_def_9, type, sK5: ($i > $o) > $i).
% 0.13/0.38 thf(func_def_11, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
% 0.13/0.38 thf(func_def_12, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
% 0.13/0.38 thf(func_def_13, type, vAND: $o > $o > $o).
% 0.13/0.38 thf(func_def_14, type, vOR: $o > $o > $o).
% 0.13/0.38 thf(func_def_15, type, vIMP: $o > $o > $o).
% 0.13/0.38 thf(func_def_16, type, vNOT: $o > $o).
% 0.13/0.38 thf(func_def_17, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.13/0.38 thf(f245,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 inference(avatar_sat_refutation,[],[f169,f209,f244])).
% 0.13/0.38 thf(f244,plain,(
% 0.13/0.38 spl6_8),
% 0.13/0.38 inference(avatar_contradiction_clause,[],[f243])).
% 0.13/0.38 thf(f243,plain,(
% 0.13/0.38 $false | spl6_8),
% 0.13/0.38 inference(trivial_inequality_removal,[],[f240])).
% 0.13/0.38 thf(f240,plain,(
% 0.13/0.38 ($true != $true) | spl6_8),
% 0.13/0.38 inference(superposition,[],[f227,f19])).
% 0.13/0.38 thf(f19,plain,(
% 0.13/0.38 ($true = vAPP($i,$o,sK3,sK0))),
% 0.13/0.38 inference(cnf_transformation,[],[f14])).
% 0.13/0.38 thf(f14,plain,(
% 0.13/0.38 (($true != vAPP($i,$o,sK3,sK2)) & ! [X4] : (($true = vAPP($i,$o,sK3,vAPP($i,$i,cS,X4))) | ($true != vAPP($i,$o,sK3,X4))) & ($true = vAPP($i,$o,sK3,sK0))) & ! [X5 : $i > $o] : (($true = vAPP($i,$o,X5,sK2)) | (($true != vAPP($i,$o,X5,vAPP($i,$i,cS,vAPP(sTfun($i,$o),$i,sK4,X5)))) & ($true = vAPP($i,$o,X5,vAPP(sTfun($i,$o),$i,sK4,X5)))) | ($true != vAPP($i,$o,X5,sK1))) & ! [X7 : $i > $o] : (($true = vAPP($i,$o,X7,sK1)) | (($true != vAPP($i,$o,X7,vAPP($i,$i,cS,vAPP(sTfun($i,$o),$i,sK5,X7)))) & ($true = vAPP($i,$o,X7,vAPP(sTfun($i,$o),$i,sK5,X7)))) | ($true != vAPP($i,$o,X7,sK0)))),
% 0.13/0.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f9,f13,f12,f11,f10])).
% 0.13/0.38 thf(f10,plain,(
% 0.13/0.38 ? [X0,X1,X2] : (? [X3 : $i > $o] : ((vAPP($i,$o,X3,X2) != $true) & ! [X4] : ((vAPP($i,$o,X3,vAPP($i,$i,cS,X4)) = $true) | (vAPP($i,$o,X3,X4) != $true)) & (vAPP($i,$o,X3,X0) = $true)) & ! [X5 : $i > $o] : (($true = vAPP($i,$o,X5,X2)) | ? [X6] : (($true != vAPP($i,$o,X5,vAPP($i,$i,cS,X6))) & ($true = vAPP($i,$o,X5,X6))) | ($true != vAPP($i,$o,X5,X1))) & ! [X7 : $i > $o] : (($true = vAPP($i,$o,X7,X1)) | ? [X8] : (($true != vAPP($i,$o,X7,vAPP($i,$i,cS,X8))) & ($true = vAPP($i,$o,X7,X8))) | ($true != vAPP($i,$o,X7,X0)))) => (? [X3 : $i > $o] : (($true != vAPP($i,$o,X3,sK2)) & ! [X4] : ((vAPP($i,$o,X3,vAPP($i,$i,cS,X4)) = $true) | (vAPP($i,$o,X3,X4) != $true)) & ($true = vAPP($i,$o,X3,sK0))) & ! [X5 : $i > $o] : (($true = vAPP($i,$o,X5,sK2)) | ? [X6] : (($true != vAPP($i,$o,X5,vAPP($i,$i,cS,X6))) & ($true = vAPP($i,$o,X5,X6))) | ($true != vAPP($i,$o,X5,sK1))) & ! [X7 : $i > $o] : (($true = vAPP($i,$o,X7,sK1)) | ? [X8] : (($true != vAPP($i,$o,X7,vAPP($i,$i,cS,X8))) & ($true = vAPP($i,$o,X7,X8))) | ($true != vAPP($i,$o,X7,sK0))))),
% 0.13/0.38 introduced(choice_axiom,[])).
% 0.13/0.38 thf(f11,plain,(
% 0.13/0.38 ? [X3 : $i > $o] : (($true != vAPP($i,$o,X3,sK2)) & ! [X4] : ((vAPP($i,$o,X3,vAPP($i,$i,cS,X4)) = $true) | (vAPP($i,$o,X3,X4) != $true)) & ($true = vAPP($i,$o,X3,sK0))) => (($true != vAPP($i,$o,sK3,sK2)) & ! [X4] : (($true = vAPP($i,$o,sK3,vAPP($i,$i,cS,X4))) | ($true != vAPP($i,$o,sK3,X4))) & ($true = vAPP($i,$o,sK3,sK0)))),
% 0.13/0.38 introduced(choice_axiom,[])).
% 0.13/0.38 thf(f12,plain,(
% 0.13/0.38 ! [X5 : $i > $o] : (? [X6] : (($true != vAPP($i,$o,X5,vAPP($i,$i,cS,X6))) & ($true = vAPP($i,$o,X5,X6))) => (($true != vAPP($i,$o,X5,vAPP($i,$i,cS,vAPP(sTfun($i,$o),$i,sK4,X5)))) & ($true = vAPP($i,$o,X5,vAPP(sTfun($i,$o),$i,sK4,X5)))))),
% 0.13/0.38 introduced(choice_axiom,[])).
% 0.13/0.38 thf(f13,plain,(
% 0.13/0.38 ! [X7 : $i > $o] : (? [X8] : (($true != vAPP($i,$o,X7,vAPP($i,$i,cS,X8))) & ($true = vAPP($i,$o,X7,X8))) => (($true != vAPP($i,$o,X7,vAPP($i,$i,cS,vAPP(sTfun($i,$o),$i,sK5,X7)))) & ($true = vAPP($i,$o,X7,vAPP(sTfun($i,$o),$i,sK5,X7)))))),
% 0.13/0.38 introduced(choice_axiom,[])).
% 0.13/0.38 thf(f9,plain,(
% 0.13/0.38 ? [X0,X1,X2] : (? [X3 : $i > $o] : ((vAPP($i,$o,X3,X2) != $true) & ! [X4] : ((vAPP($i,$o,X3,vAPP($i,$i,cS,X4)) = $true) | (vAPP($i,$o,X3,X4) != $true)) & (vAPP($i,$o,X3,X0) = $true)) & ! [X5 : $i > $o] : (($true = vAPP($i,$o,X5,X2)) | ? [X6] : (($true != vAPP($i,$o,X5,vAPP($i,$i,cS,X6))) & ($true = vAPP($i,$o,X5,X6))) | ($true != vAPP($i,$o,X5,X1))) & ! [X7 : $i > $o] : (($true = vAPP($i,$o,X7,X1)) | ? [X8] : (($true != vAPP($i,$o,X7,vAPP($i,$i,cS,X8))) & ($true = vAPP($i,$o,X7,X8))) | ($true != vAPP($i,$o,X7,X0))))),
% 0.13/0.38 inference(rectify,[],[f8])).
% 0.13/0.38 thf(f8,plain,(
% 0.13/0.38 ? [X0,X1,X2] : (? [X7 : $i > $o] : (($true != vAPP($i,$o,X7,X2)) & ! [X8] : (($true = vAPP($i,$o,X7,vAPP($i,$i,cS,X8))) | ($true != vAPP($i,$o,X7,X8))) & ($true = vAPP($i,$o,X7,X0))) & ! [X3 : $i > $o] : ((vAPP($i,$o,X3,X2) = $true) | ? [X4] : ((vAPP($i,$o,X3,vAPP($i,$i,cS,X4)) != $true) & (vAPP($i,$o,X3,X4) = $true)) | (vAPP($i,$o,X3,X1) != $true)) & ! [X5 : $i > $o] : (($true = vAPP($i,$o,X5,X1)) | ? [X6] : (($true != vAPP($i,$o,X5,vAPP($i,$i,cS,X6))) & ($true = vAPP($i,$o,X5,X6))) | ($true != vAPP($i,$o,X5,X0))))),
% 0.13/0.38 inference(flattening,[],[f7])).
% 0.13/0.38 thf(f7,plain,(
% 0.13/0.38 ? [X0,X1,X2] : (? [X7 : $i > $o] : (($true != vAPP($i,$o,X7,X2)) & (! [X8] : (($true = vAPP($i,$o,X7,vAPP($i,$i,cS,X8))) | ($true != vAPP($i,$o,X7,X8))) & ($true = vAPP($i,$o,X7,X0)))) & (! [X3 : $i > $o] : ((vAPP($i,$o,X3,X2) = $true) | (? [X4] : ((vAPP($i,$o,X3,vAPP($i,$i,cS,X4)) != $true) & (vAPP($i,$o,X3,X4) = $true)) | (vAPP($i,$o,X3,X1) != $true))) & ! [X5 : $i > $o] : (($true = vAPP($i,$o,X5,X1)) | (? [X6] : (($true != vAPP($i,$o,X5,vAPP($i,$i,cS,X6))) & ($true = vAPP($i,$o,X5,X6))) | ($true != vAPP($i,$o,X5,X0))))))),
% 0.13/0.38 inference(ennf_transformation,[],[f6])).
% 0.13/0.38 thf(f6,plain,(
% 0.13/0.38 ~! [X0,X1,X2] : ((! [X3 : $i > $o] : ((! [X4] : ((vAPP($i,$o,X3,X4) = $true) => (vAPP($i,$o,X3,vAPP($i,$i,cS,X4)) = $true)) & (vAPP($i,$o,X3,X1) = $true)) => (vAPP($i,$o,X3,X2) = $true)) & ! [X5 : $i > $o] : ((! [X6] : (($true = vAPP($i,$o,X5,X6)) => ($true = vAPP($i,$o,X5,vAPP($i,$i,cS,X6)))) & ($true = vAPP($i,$o,X5,X0))) => ($true = vAPP($i,$o,X5,X1)))) => ! [X7 : $i > $o] : ((! [X8] : (($true = vAPP($i,$o,X7,X8)) => ($true = vAPP($i,$o,X7,vAPP($i,$i,cS,X8)))) & ($true = vAPP($i,$o,X7,X0))) => ($true = vAPP($i,$o,X7,X2))))),
% 0.13/0.38 inference(fool_elimination,[],[f5])).
% 0.13/0.38 thf(f5,plain,(
% 0.13/0.38 ~! [X0,X1,X2] : ((! [X3 : $i > $o] : ((! [X4] : (vAPP($i,$o,X3,X4) => vAPP($i,$o,X3,vAPP($i,$i,cS,X4))) & vAPP($i,$o,X3,X1)) => vAPP($i,$o,X3,X2)) & ! [X5 : $i > $o] : ((! [X6] : (vAPP($i,$o,X5,X6) => vAPP($i,$o,X5,vAPP($i,$i,cS,X6))) & vAPP($i,$o,X5,X0)) => vAPP($i,$o,X5,X1))) => ! [X7 : $i > $o] : ((! [X8] : (vAPP($i,$o,X7,X8) => vAPP($i,$o,X7,vAPP($i,$i,cS,X8))) & vAPP($i,$o,X7,X0)) => vAPP($i,$o,X7,X2)))),
% 0.13/0.38 inference(rectify,[],[f2])).
% 0.13/0.38 thf(f2,negated_conjecture,(
% 0.13/0.38 ~! [X0,X1,X2] : ((! [X3 : $i > $o] : ((! [X4] : (vAPP($i,$o,X3,X4) => vAPP($i,$o,X3,vAPP($i,$i,cS,X4))) & vAPP($i,$o,X3,X1)) => vAPP($i,$o,X3,X2)) & ! [X3 : $i > $o] : ((! [X4] : (vAPP($i,$o,X3,X4) => vAPP($i,$o,X3,vAPP($i,$i,cS,X4))) & vAPP($i,$o,X3,X0)) => vAPP($i,$o,X3,X1))) => ! [X3 : $i > $o] : ((! [X4] : (vAPP($i,$o,X3,X4) => vAPP($i,$o,X3,vAPP($i,$i,cS,X4))) & vAPP($i,$o,X3,X0)) => vAPP($i,$o,X3,X2)))),
% 0.13/0.38 inference(negated_conjecture,[],[f1])).
% 0.13/0.38 thf(f1,conjecture,(
% 0.13/0.38 ! [X0,X1,X2] : ((! [X3 : $i > $o] : ((! [X4] : (vAPP($i,$o,X3,X4) => vAPP($i,$o,X3,vAPP($i,$i,cS,X4))) & vAPP($i,$o,X3,X1)) => vAPP($i,$o,X3,X2)) & ! [X3 : $i > $o] : ((! [X4] : (vAPP($i,$o,X3,X4) => vAPP($i,$o,X3,vAPP($i,$i,cS,X4))) & vAPP($i,$o,X3,X0)) => vAPP($i,$o,X3,X1))) => ! [X3 : $i > $o] : ((! [X4] : (vAPP($i,$o,X3,X4) => vAPP($i,$o,X3,vAPP($i,$i,cS,X4))) & vAPP($i,$o,X3,X0)) => vAPP($i,$o,X3,X2)))),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM577_pme)).
% 0.13/0.38 thf(f227,plain,(
% 0.13/0.38 ($true != vAPP($i,$o,sK3,sK0)) | spl6_8),
% 0.13/0.38 inference(trivial_inequality_removal,[],[f226])).
% 0.13/0.38 thf(f226,plain,(
% 0.13/0.38 ($true = $false) | ($true != vAPP($i,$o,sK3,sK0)) | spl6_8),
% 0.13/0.38 inference(forward_demodulation,[],[f223,f211])).
% 0.13/0.38 thf(f211,plain,(
% 0.13/0.38 ($false = vAPP($i,$o,sK3,sK1)) | spl6_8),
% 0.13/0.38 inference(trivial_inequality_removal,[],[f210])).
% 0.13/0.38 thf(f210,plain,(
% 0.13/0.38 ($true != $true) | ($false = vAPP($i,$o,sK3,sK1)) | spl6_8),
% 0.13/0.38 inference(superposition,[],[f168,f4])).
% 0.13/0.38 thf(f4,plain,(
% 0.13/0.38 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.13/0.38 introduced(fool_axiom,[])).
% 0.13/0.38 thf(f168,plain,(
% 0.13/0.38 ($true != vAPP($i,$o,sK3,sK1)) | spl6_8),
% 0.13/0.38 inference(avatar_component_clause,[],[f166])).
% 0.13/0.38 thf(f166,plain,(
% 0.13/0.38 spl6_8 <=> ($true = vAPP($i,$o,sK3,sK1))),
% 0.13/0.38 introduced(avatar_definition,[new_symbols(naming,[spl6_8])])).
% 0.13/0.38 thf(f223,plain,(
% 0.13/0.38 ($true = vAPP($i,$o,sK3,sK1)) | ($true != vAPP($i,$o,sK3,sK0)) | spl6_8),
% 0.13/0.38 inference(trivial_inequality_removal,[],[f220])).
% 0.13/0.38 thf(f220,plain,(
% 0.13/0.38 ($true != $true) | ($true = vAPP($i,$o,sK3,sK1)) | ($true != vAPP($i,$o,sK3,sK0)) | spl6_8),
% 0.13/0.38 inference(superposition,[],[f217,f15])).
% 0.13/0.38 thf(f15,plain,(
% 0.13/0.38 ( ! [X7 : $i > $o] : (($true = vAPP($i,$o,X7,vAPP(sTfun($i,$o),$i,sK5,X7))) | ($true = vAPP($i,$o,X7,sK1)) | ($true != vAPP($i,$o,X7,sK0))) )),
% 0.13/0.38 inference(cnf_transformation,[],[f14])).
% 0.13/0.38 thf(f217,plain,(
% 0.13/0.38 ($true != vAPP($i,$o,sK3,vAPP(sTfun($i,$o),$i,sK5,sK3))) | spl6_8),
% 0.13/0.38 inference(trivial_inequality_removal,[],[f216])).
% 0.13/0.38 thf(f216,plain,(
% 0.13/0.38 ($true = $false) | ($true != vAPP($i,$o,sK3,vAPP(sTfun($i,$o),$i,sK5,sK3))) | spl6_8),
% 0.13/0.38 inference(forward_demodulation,[],[f150,f211])).
% 0.13/0.38 thf(f150,plain,(
% 0.13/0.38 ($true = vAPP($i,$o,sK3,sK1)) | ($true != vAPP($i,$o,sK3,vAPP(sTfun($i,$o),$i,sK5,sK3)))),
% 0.13/0.38 inference(trivial_inequality_removal,[],[f149])).
% 0.13/0.38 thf(f149,plain,(
% 0.13/0.38 ($true != $true) | ($true = vAPP($i,$o,sK3,sK1)) | ($true != vAPP($i,$o,sK3,vAPP(sTfun($i,$o),$i,sK5,sK3)))),
% 0.13/0.38 inference(forward_demodulation,[],[f141,f19])).
% 0.13/0.38 thf(f141,plain,(
% 0.13/0.38 ($true = vAPP($i,$o,sK3,sK1)) | ($true != vAPP($i,$o,sK3,sK0)) | ($true != vAPP($i,$o,sK3,vAPP(sTfun($i,$o),$i,sK5,sK3)))),
% 0.13/0.38 inference(trivial_inequality_removal,[],[f138])).
% 0.13/0.38 thf(f138,plain,(
% 0.13/0.38 ($true != $true) | ($true = vAPP($i,$o,sK3,sK1)) | ($true != vAPP($i,$o,sK3,sK0)) | ($true != vAPP($i,$o,sK3,vAPP(sTfun($i,$o),$i,sK5,sK3)))),
% 0.13/0.38 inference(superposition,[],[f16,f20])).
% 0.13/0.38 thf(f20,plain,(
% 0.13/0.38 ( ! [X4 : $i] : (($true = vAPP($i,$o,sK3,vAPP($i,$i,cS,X4))) | ($true != vAPP($i,$o,sK3,X4))) )),
% 0.13/0.38 inference(cnf_transformation,[],[f14])).
% 0.13/0.38 thf(f16,plain,(
% 0.13/0.38 ( ! [X7 : $i > $o] : (($true != vAPP($i,$o,X7,vAPP($i,$i,cS,vAPP(sTfun($i,$o),$i,sK5,X7)))) | ($true = vAPP($i,$o,X7,sK1)) | ($true != vAPP($i,$o,X7,sK0))) )),
% 0.13/0.38 inference(cnf_transformation,[],[f14])).
% 0.13/0.38 thf(f209,plain,(
% 0.13/0.38 spl6_7),
% 0.13/0.38 inference(avatar_contradiction_clause,[],[f208])).
% 0.13/0.38 thf(f208,plain,(
% 0.13/0.38 $false | spl6_7),
% 0.13/0.38 inference(trivial_inequality_removal,[],[f205])).
% 0.13/0.38 thf(f205,plain,(
% 0.13/0.38 ($true != $true) | spl6_7),
% 0.13/0.38 inference(superposition,[],[f192,f19])).
% 0.13/0.38 thf(f192,plain,(
% 0.13/0.38 ($true != vAPP($i,$o,sK3,sK0)) | spl6_7),
% 0.13/0.38 inference(trivial_inequality_removal,[],[f191])).
% 0.13/0.38 thf(f191,plain,(
% 0.13/0.38 ($true = $false) | ($true != vAPP($i,$o,sK3,sK0)) | spl6_7),
% 0.13/0.38 inference(forward_demodulation,[],[f188,f178])).
% 0.13/0.38 thf(f178,plain,(
% 0.13/0.38 ($false = vAPP($i,$o,sK3,sK1)) | spl6_7),
% 0.13/0.38 inference(trivial_inequality_removal,[],[f177])).
% 0.13/0.38 thf(f177,plain,(
% 0.13/0.38 ($true != $true) | ($false = vAPP($i,$o,sK3,sK1)) | spl6_7),
% 0.13/0.38 inference(superposition,[],[f176,f4])).
% 0.13/0.38 thf(f176,plain,(
% 0.13/0.38 ($true != vAPP($i,$o,sK3,sK1)) | spl6_7),
% 0.13/0.38 inference(trivial_inequality_removal,[],[f175])).
% 0.13/0.38 thf(f175,plain,(
% 0.13/0.38 ($true = $false) | ($true != vAPP($i,$o,sK3,sK1)) | spl6_7),
% 0.13/0.38 inference(forward_demodulation,[],[f174,f33])).
% 0.13/0.38 thf(f33,plain,(
% 0.13/0.38 ($false = vAPP($i,$o,sK3,sK2))),
% 0.13/0.38 inference(trivial_inequality_removal,[],[f31])).
% 0.13/0.38 thf(f31,plain,(
% 0.13/0.38 ($true != $true) | ($false = vAPP($i,$o,sK3,sK2))),
% 0.13/0.38 inference(superposition,[],[f21,f4])).
% 0.13/0.38 thf(f21,plain,(
% 0.13/0.38 ($true != vAPP($i,$o,sK3,sK2))),
% 0.13/0.38 inference(cnf_transformation,[],[f14])).
% 0.13/0.38 thf(f174,plain,(
% 0.13/0.38 ($true = vAPP($i,$o,sK3,sK2)) | ($true != vAPP($i,$o,sK3,sK1)) | spl6_7),
% 0.13/0.38 inference(trivial_inequality_removal,[],[f171])).
% 0.13/0.38 thf(f171,plain,(
% 0.13/0.38 ($true != $true) | ($true = vAPP($i,$o,sK3,sK2)) | ($true != vAPP($i,$o,sK3,sK1)) | spl6_7),
% 0.13/0.38 inference(superposition,[],[f164,f17])).
% 0.13/0.38 thf(f17,plain,(
% 0.13/0.38 ( ! [X5 : $i > $o] : (($true = vAPP($i,$o,X5,vAPP(sTfun($i,$o),$i,sK4,X5))) | ($true = vAPP($i,$o,X5,sK2)) | ($true != vAPP($i,$o,X5,sK1))) )),
% 0.13/0.38 inference(cnf_transformation,[],[f14])).
% 0.13/0.38 thf(f164,plain,(
% 0.13/0.38 ($true != vAPP($i,$o,sK3,vAPP(sTfun($i,$o),$i,sK4,sK3))) | spl6_7),
% 0.13/0.38 inference(avatar_component_clause,[],[f162])).
% 0.13/0.38 thf(f162,plain,(
% 0.13/0.38 spl6_7 <=> ($true = vAPP($i,$o,sK3,vAPP(sTfun($i,$o),$i,sK4,sK3)))),
% 0.13/0.38 introduced(avatar_definition,[new_symbols(naming,[spl6_7])])).
% 0.13/0.38 thf(f188,plain,(
% 0.13/0.38 ($true = vAPP($i,$o,sK3,sK1)) | ($true != vAPP($i,$o,sK3,sK0)) | spl6_7),
% 0.13/0.38 inference(trivial_inequality_removal,[],[f185])).
% 0.13/0.38 thf(f185,plain,(
% 0.13/0.38 ($true != $true) | ($true = vAPP($i,$o,sK3,sK1)) | ($true != vAPP($i,$o,sK3,sK0)) | spl6_7),
% 0.13/0.38 inference(superposition,[],[f183,f15])).
% 0.13/0.38 thf(f183,plain,(
% 0.13/0.38 ($true != vAPP($i,$o,sK3,vAPP(sTfun($i,$o),$i,sK5,sK3))) | spl6_7),
% 0.13/0.38 inference(trivial_inequality_removal,[],[f182])).
% 0.13/0.38 thf(f182,plain,(
% 0.13/0.38 ($true = $false) | ($true != vAPP($i,$o,sK3,vAPP(sTfun($i,$o),$i,sK5,sK3))) | spl6_7),
% 0.13/0.38 inference(forward_demodulation,[],[f150,f178])).
% 0.13/0.38 thf(f169,plain,(
% 0.13/0.38 ~spl6_7 | ~spl6_8),
% 0.13/0.38 inference(avatar_split_clause,[],[f104,f166,f162])).
% 0.13/0.38 thf(f104,plain,(
% 0.13/0.38 ($true != vAPP($i,$o,sK3,sK1)) | ($true != vAPP($i,$o,sK3,vAPP(sTfun($i,$o),$i,sK4,sK3)))),
% 0.13/0.38 inference(trivial_inequality_removal,[],[f103])).
% 0.13/0.38 thf(f103,plain,(
% 0.13/0.38 ($true = $false) | ($true != vAPP($i,$o,sK3,sK1)) | ($true != vAPP($i,$o,sK3,vAPP(sTfun($i,$o),$i,sK4,sK3)))),
% 0.13/0.38 inference(forward_demodulation,[],[f99,f33])).
% 0.13/0.38 thf(f99,plain,(
% 0.13/0.38 ($true = vAPP($i,$o,sK3,sK2)) | ($true != vAPP($i,$o,sK3,sK1)) | ($true != vAPP($i,$o,sK3,vAPP(sTfun($i,$o),$i,sK4,sK3)))),
% 0.13/0.38 inference(trivial_inequality_removal,[],[f96])).
% 0.13/0.38 thf(f96,plain,(
% 0.13/0.38 ($true != $true) | ($true = vAPP($i,$o,sK3,sK2)) | ($true != vAPP($i,$o,sK3,sK1)) | ($true != vAPP($i,$o,sK3,vAPP(sTfun($i,$o),$i,sK4,sK3)))),
% 0.13/0.38 inference(superposition,[],[f18,f20])).
% 0.13/0.38 thf(f18,plain,(
% 0.13/0.38 ( ! [X5 : $i > $o] : (($true != vAPP($i,$o,X5,vAPP($i,$i,cS,vAPP(sTfun($i,$o),$i,sK4,X5)))) | ($true = vAPP($i,$o,X5,sK2)) | ($true != vAPP($i,$o,X5,sK1))) )),
% 0.13/0.38 inference(cnf_transformation,[],[f14])).
% 0.13/0.38 % SZS output end Proof for theBenchmark
% 0.13/0.38 % (21584)------------------------------
% 0.13/0.38 % (21584)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.38 % (21584)Termination reason: Refutation
% 0.13/0.38
% 0.13/0.38 % (21584)Memory used [KB]: 880
% 0.13/0.38 % (21584)Time elapsed: 0.011 s
% 0.13/0.38 % (21584)Instructions burned: 17 (million)
% 0.13/0.38 % (21581)Success in time 0.024 s
%------------------------------------------------------------------------------