TSTP Solution File: NUM636^3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM636^3 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n017.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 02:12:29 EDT 2024
% Result : Theorem 0.14s 0.40s
% Output : Refutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM636^3 : TPTP v8.2.0. Released v3.7.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n017.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 20 04:45:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (17914)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (17915)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % Exception at run slice level
% 0.14/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.38 % (17919)WARNING: value z3 for option sas not known
% 0.14/0.38 % (17925)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.38 % (17925)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.38 % (17920)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (17919)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (17922)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.39 % Exception at run slice level
% 0.14/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.39 % (17924)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.39 % (17929)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.14/0.39 % (17929)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.39 % Exception at run slice level
% 0.14/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.39 % (17925)First to succeed.
% 0.14/0.39 % (17919)Also succeeded, but the first one will report.
% 0.14/0.39 % (17925)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-17914"
% 0.14/0.39 % (17924)Also succeeded, but the first one will report.
% 0.14/0.40 % (17925)Refutation found. Thanks to Tanya!
% 0.14/0.40 % SZS status Theorem for theBenchmark
% 0.14/0.40 % SZS output start Proof for theBenchmark
% 0.14/0.40 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.14/0.40 thf(func_def_1, type, succ: $i > $i).
% 0.14/0.40 thf(func_def_3, type, m: $i > $o).
% 0.14/0.40 thf(func_def_6, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.14/0.40 thf(func_def_7, type, vNOT: $o > $o).
% 0.14/0.40 thf(func_def_8, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
% 0.14/0.40 thf(func_def_9, type, iCOMB: !>[X0: $tType]:(X0 > X0)).
% 0.14/0.40 thf(func_def_10, type, sCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > (X0 > X1) > X0 > X2)).
% 0.14/0.40 thf(func_def_12, type, sK1: ($i > $o) > $i).
% 0.14/0.40 thf(func_def_13, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
% 0.14/0.40 thf(func_def_14, type, vAND: $o > $o > $o).
% 0.14/0.40 thf(func_def_15, type, vOR: $o > $o > $o).
% 0.14/0.40 thf(func_def_16, type, vIMP: $o > $o > $o).
% 0.14/0.40 thf(f283,plain,(
% 0.14/0.40 $false),
% 0.14/0.40 inference(unit_resulting_resolution,[],[f31,f33,f119,f37])).
% 0.14/0.40 thf(f37,plain,(
% 0.14/0.40 ( ! [X0 : $i > $o,X1 : $i] : (($true != vAPP($i,$o,X0,vAPP($i,$i,succ,vAPP(sTfun($i,$o),$i,sK1,X0)))) | ($true = vAPP($i,$o,X0,X1)) | ($true != vAPP($i,$o,X0,one))) )),
% 0.14/0.40 inference(cnf_transformation,[],[f30])).
% 0.14/0.40 thf(f30,plain,(
% 0.14/0.40 ! [X0 : $i > $o] : (! [X1] : ($true = vAPP($i,$o,X0,X1)) | (($true != vAPP($i,$o,X0,vAPP($i,$i,succ,vAPP(sTfun($i,$o),$i,sK1,X0)))) & ($true = vAPP($i,$o,X0,vAPP(sTfun($i,$o),$i,sK1,X0)))) | ($true != vAPP($i,$o,X0,one)))),
% 0.14/0.40 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f28,f29])).
% 0.14/0.40 thf(f29,plain,(
% 0.14/0.40 ! [X0 : $i > $o] : (? [X2] : (($true != vAPP($i,$o,X0,vAPP($i,$i,succ,X2))) & ($true = vAPP($i,$o,X0,X2))) => (($true != vAPP($i,$o,X0,vAPP($i,$i,succ,vAPP(sTfun($i,$o),$i,sK1,X0)))) & ($true = vAPP($i,$o,X0,vAPP(sTfun($i,$o),$i,sK1,X0)))))),
% 0.14/0.40 introduced(choice_axiom,[])).
% 0.14/0.40 thf(f28,plain,(
% 0.14/0.40 ! [X0 : $i > $o] : (! [X1] : ($true = vAPP($i,$o,X0,X1)) | ? [X2] : (($true != vAPP($i,$o,X0,vAPP($i,$i,succ,X2))) & ($true = vAPP($i,$o,X0,X2))) | ($true != vAPP($i,$o,X0,one)))),
% 0.14/0.40 inference(rectify,[],[f24])).
% 0.14/0.40 thf(f24,plain,(
% 0.14/0.40 ! [X0 : $i > $o] : (! [X2] : ($true = vAPP($i,$o,X0,X2)) | ? [X1] : (($true != vAPP($i,$o,X0,vAPP($i,$i,succ,X1))) & ($true = vAPP($i,$o,X0,X1))) | ($true != vAPP($i,$o,X0,one)))),
% 0.14/0.40 inference(flattening,[],[f23])).
% 0.14/0.40 thf(f23,plain,(
% 0.14/0.40 ! [X0 : $i > $o] : (! [X2] : ($true = vAPP($i,$o,X0,X2)) | (? [X1] : (($true != vAPP($i,$o,X0,vAPP($i,$i,succ,X1))) & ($true = vAPP($i,$o,X0,X1))) | ($true != vAPP($i,$o,X0,one))))),
% 0.14/0.40 inference(ennf_transformation,[],[f20])).
% 0.14/0.40 thf(f20,plain,(
% 0.14/0.40 ! [X0 : $i > $o] : ((! [X1] : (($true = vAPP($i,$o,X0,X1)) => ($true = vAPP($i,$o,X0,vAPP($i,$i,succ,X1)))) & ($true = vAPP($i,$o,X0,one))) => ! [X2] : ($true = vAPP($i,$o,X0,X2)))),
% 0.14/0.40 inference(fool_elimination,[],[f19])).
% 0.14/0.40 thf(f19,plain,(
% 0.14/0.40 ! [X0 : $i > $o] : ((! [X1] : (vAPP($i,$o,X0,X1) => vAPP($i,$o,X0,vAPP($i,$i,succ,X1))) & vAPP($i,$o,X0,one)) => ! [X2] : vAPP($i,$o,X0,X2))),
% 0.14/0.40 inference(rectify,[],[f3])).
% 0.14/0.40 thf(f3,axiom,(
% 0.14/0.40 ! [X2 : $i > $o] : ((! [X0] : (vAPP($i,$o,X2,X0) => vAPP($i,$o,X2,vAPP($i,$i,succ,X0))) & vAPP($i,$o,X2,one)) => ! [X1] : vAPP($i,$o,X2,X1))),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',induction)).
% 0.14/0.40 thf(f119,plain,(
% 0.14/0.40 ($true = vAPP($i,$o,m,vAPP($i,$i,succ,vAPP(sTfun($i,$o),$i,sK1,m))))),
% 0.14/0.40 inference(unit_resulting_resolution,[],[f106,f32])).
% 0.14/0.40 thf(f32,plain,(
% 0.14/0.40 ( ! [X0 : $i] : ((vAPP($i,$o,m,X0) != $true) | (vAPP($i,$o,m,vAPP($i,$i,succ,X0)) = $true)) )),
% 0.14/0.40 inference(cnf_transformation,[],[f22])).
% 0.14/0.40 thf(f22,plain,(
% 0.14/0.40 ! [X0] : ((vAPP($i,$o,m,vAPP($i,$i,succ,X0)) = $true) | (vAPP($i,$o,m,X0) != $true))),
% 0.14/0.40 inference(ennf_transformation,[],[f14])).
% 0.14/0.40 thf(f14,plain,(
% 0.14/0.40 ! [X0] : ((vAPP($i,$o,m,X0) = $true) => (vAPP($i,$o,m,vAPP($i,$i,succ,X0)) = $true))),
% 0.14/0.40 inference(fool_elimination,[],[f13])).
% 0.14/0.40 thf(f13,plain,(
% 0.14/0.40 ! [X0] : (vAPP($i,$o,m,X0) => vAPP($i,$o,m,vAPP($i,$i,succ,X0)))),
% 0.14/0.40 inference(rectify,[],[f6])).
% 0.14/0.40 thf(f6,axiom,(
% 0.14/0.40 ! [X0] : (vAPP($i,$o,m,X0) => vAPP($i,$o,m,vAPP($i,$i,succ,X0)))),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_is_next)).
% 0.14/0.40 thf(f106,plain,(
% 0.14/0.40 ($true = vAPP($i,$o,m,vAPP(sTfun($i,$o),$i,sK1,m)))),
% 0.14/0.40 inference(unit_resulting_resolution,[],[f31,f33,f36])).
% 0.14/0.40 thf(f36,plain,(
% 0.14/0.40 ( ! [X0 : $i > $o,X1 : $i] : (($true != vAPP($i,$o,X0,one)) | ($true = vAPP($i,$o,X0,vAPP(sTfun($i,$o),$i,sK1,X0))) | ($true = vAPP($i,$o,X0,X1))) )),
% 0.14/0.40 inference(cnf_transformation,[],[f30])).
% 0.14/0.40 thf(f33,plain,(
% 0.14/0.40 (vAPP($i,$o,m,one) = $true)),
% 0.14/0.40 inference(cnf_transformation,[],[f16])).
% 0.14/0.40 thf(f16,plain,(
% 0.14/0.40 (vAPP($i,$o,m,one) = $true)),
% 0.14/0.40 inference(fool_elimination,[],[f15])).
% 0.14/0.40 thf(f15,plain,(
% 0.14/0.40 vAPP($i,$o,m,one)),
% 0.14/0.40 inference(rectify,[],[f5])).
% 0.14/0.40 thf(f5,axiom,(
% 0.14/0.40 vAPP($i,$o,m,one)),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_is_one)).
% 0.14/0.40 thf(f31,plain,(
% 0.14/0.40 ($true != vAPP($i,$o,m,sK0))),
% 0.14/0.40 inference(cnf_transformation,[],[f27])).
% 0.14/0.40 thf(f27,plain,(
% 0.14/0.40 ($true != vAPP($i,$o,m,sK0))),
% 0.14/0.40 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f21,f26])).
% 0.14/0.40 thf(f26,plain,(
% 0.14/0.40 ? [X0] : (vAPP($i,$o,m,X0) != $true) => ($true != vAPP($i,$o,m,sK0))),
% 0.14/0.40 introduced(choice_axiom,[])).
% 0.14/0.40 thf(f21,plain,(
% 0.14/0.40 ? [X0] : (vAPP($i,$o,m,X0) != $true)),
% 0.14/0.40 inference(ennf_transformation,[],[f12])).
% 0.14/0.40 thf(f12,plain,(
% 0.14/0.40 ~! [X0] : (vAPP($i,$o,m,X0) = $true)),
% 0.14/0.40 inference(fool_elimination,[],[f11])).
% 0.14/0.40 thf(f11,plain,(
% 0.14/0.40 ~! [X0] : vAPP($i,$o,m,X0)),
% 0.14/0.40 inference(rectify,[],[f8])).
% 0.14/0.40 thf(f8,negated_conjecture,(
% 0.14/0.40 ~! [X0] : vAPP($i,$o,m,X0)),
% 0.14/0.40 inference(negated_conjecture,[],[f7])).
% 0.14/0.40 thf(f7,conjecture,(
% 0.14/0.40 ! [X0] : vAPP($i,$o,m,X0)),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_is_all)).
% 0.14/0.40 % SZS output end Proof for theBenchmark
% 0.14/0.40 % (17925)------------------------------
% 0.14/0.40 % (17925)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.40 % (17925)Termination reason: Refutation
% 0.14/0.40
% 0.14/0.40 % (17925)Memory used [KB]: 877
% 0.14/0.40 % (17925)Time elapsed: 0.013 s
% 0.14/0.40 % (17925)Instructions burned: 21 (million)
% 0.14/0.40 % (17914)Success in time 0.037 s
%------------------------------------------------------------------------------