TSTP Solution File: SYO083^5 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO083^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n004.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 09:10:16 EDT 2024
% Result : Theorem 0.13s 0.37s
% Output : Refutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO083^5 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon May 20 11:00:08 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % (22020)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (22026)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.36 % (22027)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)
% 0.13/0.36 % (22022)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.36 % Exception at run slice level
% 0.13/0.36 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.36 % (22021)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.36 % (22023)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)
% 0.13/0.36 % (22024)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.36 % (22023)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.13/0.36 % Exception at run slice level
% 0.13/0.36 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.36 % Exception at run slice level
% 0.13/0.36 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.36 % (22024)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.13/0.36 % Exception at run slice level
% 0.13/0.36 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.36 % (22026)First to succeed.
% 0.13/0.36 % (22025)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.37 % (22026)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-22020"
% 0.13/0.37 % (22023)Also succeeded, but the first one will report.
% 0.13/0.37 % (22026)Refutation found. Thanks to Tanya!
% 0.13/0.37 % SZS status Theorem for theBenchmark
% 0.13/0.37 % SZS output start Proof for theBenchmark
% 0.13/0.37 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.13/0.37 thf(func_def_0, type, cP: $i > $i > $o).
% 0.13/0.37 thf(func_def_7, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
% 0.13/0.37 thf(func_def_8, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
% 0.13/0.37 thf(func_def_9, type, vAND: $o > $o > $o).
% 0.13/0.37 thf(func_def_10, type, vOR: $o > $o > $o).
% 0.13/0.37 thf(func_def_11, type, vIMP: $o > $o > $o).
% 0.13/0.37 thf(func_def_12, type, vNOT: $o > $o).
% 0.13/0.37 thf(func_def_13, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.13/0.37 thf(f54,plain,(
% 0.13/0.37 $false),
% 0.13/0.37 inference(avatar_sat_refutation,[],[f17,f50,f53])).
% 0.13/0.37 thf(f53,plain,(
% 0.13/0.37 ~spl0_1),
% 0.13/0.37 inference(avatar_contradiction_clause,[],[f52])).
% 0.13/0.37 thf(f52,plain,(
% 0.13/0.37 $false | ~spl0_1),
% 0.13/0.37 inference(trivial_inequality_removal,[],[f51])).
% 0.13/0.37 thf(f51,plain,(
% 0.13/0.37 ($true != $true) | ~spl0_1),
% 0.13/0.37 inference(superposition,[],[f10,f13])).
% 0.13/0.37 thf(f13,plain,(
% 0.13/0.37 ( ! [X2 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,cA),X2))) ) | ~spl0_1),
% 0.13/0.37 inference(avatar_component_clause,[],[f12])).
% 0.13/0.37 thf(f12,plain,(
% 0.13/0.37 spl0_1 <=> ! [X2] : ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,cA),X2))),
% 0.13/0.37 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
% 0.13/0.37 thf(f10,plain,(
% 0.13/0.37 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X0),X0))) )),
% 0.13/0.37 inference(cnf_transformation,[],[f8])).
% 0.13/0.37 thf(f8,plain,(
% 0.13/0.37 ! [X0] : ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X0),X0)) & (! [X1] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X1),cB) = $true) | ! [X2] : ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,cA),X2)))),
% 0.13/0.37 inference(rectify,[],[f7])).
% 0.13/0.37 thf(f7,plain,(
% 0.13/0.37 ! [X2] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X2),X2) != $true) & (! [X0] : ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X0),cB)) | ! [X1] : ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,cA),X1)))),
% 0.13/0.37 inference(ennf_transformation,[],[f6])).
% 0.13/0.37 thf(f6,plain,(
% 0.13/0.37 ~((! [X0] : ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X0),cB)) | ! [X1] : ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,cA),X1))) => ? [X2] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X2),X2) = $true))),
% 0.13/0.37 inference(fool_elimination,[],[f5])).
% 0.13/0.37 thf(f5,plain,(
% 0.13/0.37 ~((! [X0] : vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X0),cB) | ! [X1] : vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,cA),X1)) => ? [X2] : vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X2),X2))),
% 0.13/0.37 inference(rectify,[],[f2])).
% 0.13/0.37 thf(f2,negated_conjecture,(
% 0.13/0.37 ~((! [X1] : vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X1),cB) | ! [X0] : vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,cA),X0)) => ? [X2] : vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X2),X2))),
% 0.13/0.37 inference(negated_conjecture,[],[f1])).
% 0.13/0.37 thf(f1,conjecture,(
% 0.13/0.37 (! [X1] : vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X1),cB) | ! [X0] : vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,cA),X0)) => ? [X2] : vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X2),X2)),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM62)).
% 0.13/0.37 thf(f50,plain,(
% 0.13/0.37 ~spl0_2),
% 0.13/0.37 inference(avatar_contradiction_clause,[],[f49])).
% 0.13/0.37 thf(f49,plain,(
% 0.13/0.37 $false | ~spl0_2),
% 0.13/0.37 inference(trivial_inequality_removal,[],[f48])).
% 0.13/0.37 thf(f48,plain,(
% 0.13/0.37 ($true != $true) | ~spl0_2),
% 0.13/0.37 inference(superposition,[],[f10,f16])).
% 0.13/0.37 thf(f16,plain,(
% 0.13/0.37 ( ! [X1 : $i] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X1),cB) = $true)) ) | ~spl0_2),
% 0.13/0.37 inference(avatar_component_clause,[],[f15])).
% 0.13/0.37 thf(f15,plain,(
% 0.13/0.37 spl0_2 <=> ! [X1] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X1),cB) = $true)),
% 0.13/0.37 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 0.13/0.37 thf(f17,plain,(
% 0.13/0.37 spl0_1 | spl0_2),
% 0.13/0.37 inference(avatar_split_clause,[],[f9,f15,f12])).
% 0.13/0.37 thf(f9,plain,(
% 0.13/0.37 ( ! [X2 : $i,X1 : $i] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X1),cB) = $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,cA),X2))) )),
% 0.13/0.37 inference(cnf_transformation,[],[f8])).
% 0.13/0.37 % SZS output end Proof for theBenchmark
% 0.13/0.37 % (22026)------------------------------
% 0.13/0.37 % (22026)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37 % (22026)Termination reason: Refutation
% 0.13/0.37
% 0.13/0.37 % (22026)Memory used [KB]: 765
% 0.13/0.37 % (22026)Time elapsed: 0.004 s
% 0.13/0.37 % (22026)Instructions burned: 4 (million)
% 0.13/0.37 % (22020)Success in time 0.004 s
%------------------------------------------------------------------------------