TSTP Solution File: SEV427^1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEV427^1 : TPTP v8.2.0. Released v5.2.0.
% 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 : Tue May 21 04:15:47 EDT 2024
% Result : Theorem 0.15s 0.38s
% Output : Refutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEV427^1 : TPTP v8.2.0. Released v5.2.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n018.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun May 19 19:08:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (29971)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (29973)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (29975)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38 % (29976)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38 % (29972)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 % (29977)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38 % (29978)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)
% 0.15/0.38 % (29974)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)
% 0.15/0.38 % (29975)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.15/0.38 % (29974)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.15/0.38 % Exception at run slice level% Exception at run slice level
% 0.15/0.38 % Exception at run slice levelUser error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.38
% 0.15/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.38 % Exception at run slice level
% 0.15/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.38
% 0.15/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.38 % (29974)Also succeeded, but the first one will report.
% 0.15/0.38 % (29976)First to succeed.
% 0.15/0.38 % (29977)Also succeeded, but the first one will report.
% 0.15/0.38 % (29976)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-29971"
% 0.15/0.38 % (29976)Refutation found. Thanks to Tanya!
% 0.15/0.38 % SZS status Theorem for theBenchmark
% 0.15/0.38 % SZS output start Proof for theBenchmark
% 0.15/0.38 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.15/0.38 thf(func_def_0, type, eps: ($i > $o) > $i).
% 0.15/0.38 thf(func_def_2, type, p: $i > $o).
% 0.15/0.38 thf(func_def_3, type, q: $i > $o).
% 0.15/0.38 thf(func_def_6, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
% 0.15/0.38 thf(func_def_7, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
% 0.15/0.38 thf(func_def_8, type, vAND: $o > $o > $o).
% 0.15/0.38 thf(func_def_9, type, vOR: $o > $o > $o).
% 0.15/0.38 thf(func_def_10, type, vIMP: $o > $o > $o).
% 0.15/0.38 thf(func_def_11, type, vNOT: $o > $o).
% 0.15/0.38 thf(func_def_12, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.15/0.38 thf(f80,plain,(
% 0.15/0.38 $false),
% 0.15/0.38 inference(trivial_inequality_removal,[],[f79])).
% 0.15/0.38 thf(f79,plain,(
% 0.15/0.38 ($true = $false)),
% 0.15/0.38 inference(forward_demodulation,[],[f76,f48])).
% 0.15/0.38 thf(f48,plain,(
% 0.15/0.38 (vAPP($i,$o,p,vAPP(sTfun($i,$o),$i,eps,p)) = $false)),
% 0.15/0.38 inference(trivial_inequality_removal,[],[f47])).
% 0.15/0.38 thf(f47,plain,(
% 0.15/0.38 ($true != $true) | (vAPP($i,$o,p,vAPP(sTfun($i,$o),$i,eps,p)) = $false)),
% 0.15/0.39 inference(superposition,[],[f15,f6])).
% 0.15/0.39 thf(f6,plain,(
% 0.15/0.39 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.15/0.39 introduced(fool_axiom,[])).
% 0.15/0.39 thf(f15,plain,(
% 0.15/0.39 (vAPP($i,$o,p,vAPP(sTfun($i,$o),$i,eps,p)) != $true)),
% 0.15/0.39 inference(cnf_transformation,[],[f13])).
% 0.15/0.39 thf(f13,plain,(
% 0.15/0.39 (vAPP($i,$o,q,vAPP(sTfun($i,$o),$i,eps,q)) != $true) & (vAPP($i,$o,p,vAPP(sTfun($i,$o),$i,eps,p)) != $true)),
% 0.15/0.39 inference(ennf_transformation,[],[f8])).
% 0.15/0.39 thf(f8,plain,(
% 0.15/0.39 ~((vAPP($i,$o,q,vAPP(sTfun($i,$o),$i,eps,q)) = $true) | (vAPP($i,$o,p,vAPP(sTfun($i,$o),$i,eps,p)) = $true))),
% 0.15/0.39 inference(fool_elimination,[],[f7])).
% 0.15/0.39 thf(f7,plain,(
% 0.15/0.39 ~(vAPP($i,$o,q,vAPP(sTfun($i,$o),$i,eps,q)) | vAPP($i,$o,p,vAPP(sTfun($i,$o),$i,eps,p)))),
% 0.15/0.39 inference(rectify,[],[f4])).
% 0.15/0.39 thf(f4,negated_conjecture,(
% 0.15/0.39 ~(vAPP($i,$o,q,vAPP(sTfun($i,$o),$i,eps,q)) | vAPP($i,$o,p,vAPP(sTfun($i,$o),$i,eps,p)))),
% 0.15/0.39 inference(negated_conjecture,[],[f3])).
% 0.15/0.39 thf(f3,conjecture,(
% 0.15/0.39 vAPP($i,$o,q,vAPP(sTfun($i,$o),$i,eps,q)) | vAPP($i,$o,p,vAPP(sTfun($i,$o),$i,eps,p))),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj)).
% 0.15/0.39 thf(f76,plain,(
% 0.15/0.39 (vAPP($i,$o,p,vAPP(sTfun($i,$o),$i,eps,p)) = $true)),
% 0.15/0.39 inference(trivial_inequality_removal,[],[f70])).
% 0.15/0.39 thf(f70,plain,(
% 0.15/0.39 ($true != $true) | (vAPP($i,$o,p,vAPP(sTfun($i,$o),$i,eps,p)) = $true)),
% 0.15/0.39 inference(superposition,[],[f18,f59])).
% 0.15/0.39 thf(f59,plain,(
% 0.15/0.39 ($true = vAPP($i,$o,p,vAPP(sTfun($i,$o),$i,eps,q)))),
% 0.15/0.39 inference(trivial_inequality_removal,[],[f58])).
% 0.15/0.39 thf(f58,plain,(
% 0.15/0.39 ($true = $false) | ($true = vAPP($i,$o,p,vAPP(sTfun($i,$o),$i,eps,q)))),
% 0.15/0.39 inference(superposition,[],[f50,f17])).
% 0.15/0.39 thf(f17,plain,(
% 0.15/0.39 ( ! [X0 : $i] : (($true = vAPP($i,$o,q,X0)) | ($true = vAPP($i,$o,p,X0))) )),
% 0.15/0.39 inference(cnf_transformation,[],[f10])).
% 0.15/0.39 thf(f10,plain,(
% 0.15/0.39 ! [X0] : (($true = vAPP($i,$o,q,X0)) | ($true = vAPP($i,$o,p,X0)))),
% 0.15/0.39 inference(fool_elimination,[],[f9])).
% 0.15/0.39 thf(f9,plain,(
% 0.15/0.39 ! [X0] : (vAPP($i,$o,q,X0) | vAPP($i,$o,p,X0))),
% 0.15/0.39 inference(rectify,[],[f2])).
% 0.15/0.39 thf(f2,axiom,(
% 0.15/0.39 ! [X1] : (vAPP($i,$o,q,X1) | vAPP($i,$o,p,X1))),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pq)).
% 0.15/0.39 thf(f50,plain,(
% 0.15/0.39 (vAPP($i,$o,q,vAPP(sTfun($i,$o),$i,eps,q)) = $false)),
% 0.15/0.39 inference(trivial_inequality_removal,[],[f49])).
% 0.15/0.39 thf(f49,plain,(
% 0.15/0.39 ($true != $true) | (vAPP($i,$o,q,vAPP(sTfun($i,$o),$i,eps,q)) = $false)),
% 0.15/0.39 inference(superposition,[],[f16,f6])).
% 0.15/0.39 thf(f16,plain,(
% 0.15/0.39 (vAPP($i,$o,q,vAPP(sTfun($i,$o),$i,eps,q)) != $true)),
% 0.15/0.39 inference(cnf_transformation,[],[f13])).
% 0.15/0.39 thf(f18,plain,(
% 0.15/0.39 ( ! [X0 : $i > $o,X1 : $i] : ((vAPP($i,$o,X0,X1) != $true) | (vAPP($i,$o,X0,vAPP(sTfun($i,$o),$i,eps,X0)) = $true)) )),
% 0.15/0.39 inference(cnf_transformation,[],[f14])).
% 0.15/0.39 thf(f14,plain,(
% 0.15/0.39 ! [X0 : $i > $o] : ((vAPP($i,$o,X0,vAPP(sTfun($i,$o),$i,eps,X0)) = $true) | ! [X1] : (vAPP($i,$o,X0,X1) != $true))),
% 0.15/0.39 inference(ennf_transformation,[],[f12])).
% 0.15/0.39 thf(f12,plain,(
% 0.15/0.39 ! [X0 : $i > $o] : (? [X1] : (vAPP($i,$o,X0,X1) = $true) => (vAPP($i,$o,X0,vAPP(sTfun($i,$o),$i,eps,X0)) = $true))),
% 0.15/0.39 inference(fool_elimination,[],[f11])).
% 0.15/0.39 thf(f11,plain,(
% 0.15/0.39 ! [X0 : $i > $o] : (? [X1] : vAPP($i,$o,X0,X1) => vAPP($i,$o,X0,vAPP(sTfun($i,$o),$i,eps,X0)))),
% 0.15/0.39 inference(rectify,[],[f1])).
% 0.15/0.39 thf(f1,axiom,(
% 0.15/0.39 ! [X0 : $i > $o] : (? [X1] : vAPP($i,$o,X0,X1) => vAPP($i,$o,X0,vAPP(sTfun($i,$o),$i,eps,X0)))),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',choiceax)).
% 0.15/0.39 % SZS output end Proof for theBenchmark
% 0.15/0.39 % (29976)------------------------------
% 0.15/0.39 % (29976)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.39 % (29976)Termination reason: Refutation
% 0.15/0.39
% 0.15/0.39 % (29976)Memory used [KB]: 773
% 0.15/0.39 % (29976)Time elapsed: 0.005 s
% 0.15/0.39 % (29976)Instructions burned: 6 (million)
% 0.15/0.39 % (29971)Success in time 0.008 s
%------------------------------------------------------------------------------