TSTP Solution File: SYO381^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO381^5 : 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 : n015.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 09:11:05 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
% 0.11/0.12 % Problem : SYO381^5 : TPTP v8.2.0. 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 : n015.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 : Mon May 20 08:53:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (29591)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (29592)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.37 % (29598)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)
% 0.13/0.37 % 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 % 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 % (29595)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 % (29595)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 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 % (29594)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 % (29594)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.13/0.37 % (29594)First to succeed.
% 0.13/0.38 % (29597)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.38 % (29594)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-29591"
% 0.13/0.38 % (29594)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, cR: $i > $i > $o).
% 0.13/0.38 thf(func_def_4, type, sK0: $i > $i).
% 0.13/0.38 thf(func_def_5, type, sK1: $i > $i).
% 0.13/0.38 thf(func_def_8, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
% 0.13/0.38 thf(func_def_9, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
% 0.13/0.38 thf(func_def_10, type, vAND: $o > $o > $o).
% 0.13/0.38 thf(func_def_11, type, vOR: $o > $o > $o).
% 0.13/0.38 thf(func_def_12, type, vIMP: $o > $o > $o).
% 0.13/0.38 thf(func_def_13, type, vNOT: $o > $o).
% 0.13/0.38 thf(func_def_14, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.13/0.38 thf(f76,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 inference(avatar_sat_refutation,[],[f50,f57,f62,f67,f70,f75])).
% 0.13/0.38 thf(f75,plain,(
% 0.13/0.38 ~spl3_1 | ~spl3_3),
% 0.13/0.38 inference(avatar_contradiction_clause,[],[f74])).
% 0.13/0.38 thf(f74,plain,(
% 0.13/0.38 $false | (~spl3_1 | ~spl3_3)),
% 0.13/0.38 inference(trivial_inequality_removal,[],[f71])).
% 0.13/0.38 thf(f71,plain,(
% 0.13/0.38 ($true != $true) | (~spl3_1 | ~spl3_3)),
% 0.13/0.38 inference(superposition,[],[f53,f46])).
% 0.13/0.38 thf(f46,plain,(
% 0.13/0.38 ( ! [X6 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,sK2),X6))) ) | ~spl3_1),
% 0.13/0.38 inference(avatar_component_clause,[],[f45])).
% 0.13/0.38 thf(f45,plain,(
% 0.13/0.38 spl3_1 <=> ! [X6] : ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,sK2),X6))),
% 0.13/0.38 introduced(avatar_definition,[new_symbols(naming,[spl3_1])])).
% 0.13/0.38 thf(f53,plain,(
% 0.13/0.38 ( ! [X2 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X2),vAPP($i,$i,sK1,X2)))) ) | ~spl3_3),
% 0.13/0.38 inference(avatar_component_clause,[],[f52])).
% 0.13/0.38 thf(f52,plain,(
% 0.13/0.38 spl3_3 <=> ! [X2] : ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X2),vAPP($i,$i,sK1,X2)))),
% 0.13/0.38 introduced(avatar_definition,[new_symbols(naming,[spl3_3])])).
% 0.13/0.38 thf(f70,plain,(
% 0.13/0.38 ~spl3_1 | ~spl3_4),
% 0.13/0.38 inference(avatar_contradiction_clause,[],[f69])).
% 0.13/0.38 thf(f69,plain,(
% 0.13/0.38 $false | (~spl3_1 | ~spl3_4)),
% 0.13/0.38 inference(trivial_inequality_removal,[],[f68])).
% 0.13/0.38 thf(f68,plain,(
% 0.13/0.38 ($true != $true) | (~spl3_1 | ~spl3_4)),
% 0.13/0.38 inference(superposition,[],[f56,f46])).
% 0.13/0.38 thf(f56,plain,(
% 0.13/0.38 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),vAPP($i,$i,sK0,X0)))) ) | ~spl3_4),
% 0.13/0.38 inference(avatar_component_clause,[],[f55])).
% 0.13/0.38 thf(f55,plain,(
% 0.13/0.38 spl3_4 <=> ! [X0] : ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),vAPP($i,$i,sK0,X0)))),
% 0.13/0.38 introduced(avatar_definition,[new_symbols(naming,[spl3_4])])).
% 0.13/0.38 thf(f67,plain,(
% 0.13/0.38 ~spl3_2 | ~spl3_4),
% 0.13/0.38 inference(avatar_contradiction_clause,[],[f66])).
% 0.13/0.38 thf(f66,plain,(
% 0.13/0.38 $false | (~spl3_2 | ~spl3_4)),
% 0.13/0.38 inference(trivial_inequality_removal,[],[f63])).
% 0.13/0.38 thf(f63,plain,(
% 0.13/0.38 ($true != $true) | (~spl3_2 | ~spl3_4)),
% 0.13/0.38 inference(superposition,[],[f56,f49])).
% 0.13/0.38 thf(f49,plain,(
% 0.13/0.38 ( ! [X0 : $i,X4 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),X4))) ) | ~spl3_2),
% 0.13/0.38 inference(avatar_component_clause,[],[f48])).
% 0.13/0.38 thf(f48,plain,(
% 0.13/0.38 spl3_2 <=> ! [X4,X0] : ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),X4))),
% 0.13/0.38 introduced(avatar_definition,[new_symbols(naming,[spl3_2])])).
% 0.13/0.38 thf(f62,plain,(
% 0.13/0.38 ~spl3_2 | ~spl3_3),
% 0.13/0.38 inference(avatar_contradiction_clause,[],[f61])).
% 0.13/0.38 thf(f61,plain,(
% 0.13/0.38 $false | (~spl3_2 | ~spl3_3)),
% 0.13/0.38 inference(trivial_inequality_removal,[],[f58])).
% 0.13/0.38 thf(f58,plain,(
% 0.13/0.38 ($true != $true) | (~spl3_2 | ~spl3_3)),
% 0.13/0.38 inference(superposition,[],[f53,f49])).
% 0.13/0.38 thf(f57,plain,(
% 0.13/0.38 spl3_3 | spl3_4),
% 0.13/0.38 inference(avatar_split_clause,[],[f15,f55,f52])).
% 0.13/0.38 thf(f15,plain,(
% 0.13/0.38 ( ! [X2 : $i,X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),vAPP($i,$i,sK0,X0))) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X2),vAPP($i,$i,sK1,X2)))) )),
% 0.13/0.38 inference(cnf_transformation,[],[f13])).
% 0.13/0.38 thf(f13,plain,(
% 0.13/0.38 ! [X0] : ((($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),vAPP($i,$i,sK0,X0))) | ! [X2] : ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X2),vAPP($i,$i,sK1,X2)))) & (! [X4] : ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),X4)) | ! [X6] : ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,sK2),X6))))),
% 0.13/0.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f9,f12,f11,f10])).
% 0.13/0.38 thf(f10,plain,(
% 0.13/0.38 ! [X0] : (? [X1] : ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),X1)) => ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),vAPP($i,$i,sK0,X0))))),
% 0.13/0.38 introduced(choice_axiom,[])).
% 0.13/0.38 thf(f11,plain,(
% 0.13/0.38 ! [X2] : (? [X3] : ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X2),X3)) => ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X2),vAPP($i,$i,sK1,X2))))),
% 0.13/0.38 introduced(choice_axiom,[])).
% 0.13/0.38 thf(f12,plain,(
% 0.13/0.38 ? [X5] : ! [X6] : ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X5),X6)) => ! [X6] : ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,sK2),X6))),
% 0.13/0.38 introduced(choice_axiom,[])).
% 0.13/0.38 thf(f9,plain,(
% 0.13/0.38 ! [X0] : ((? [X1] : ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),X1)) | ! [X2] : ? [X3] : ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X2),X3))) & (! [X4] : ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),X4)) | ? [X5] : ! [X6] : ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X5),X6))))),
% 0.13/0.38 inference(rectify,[],[f8])).
% 0.13/0.38 thf(f8,plain,(
% 0.13/0.38 ! [X0] : ((? [X3] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),X3) != $true) | ! [X1] : ? [X2] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X1),X2) != $true)) & (! [X3] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),X3) = $true) | ? [X1] : ! [X2] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X1),X2) = $true)))),
% 0.13/0.38 inference(nnf_transformation,[],[f7])).
% 0.13/0.38 thf(f7,plain,(
% 0.13/0.38 ! [X0] : (? [X1] : ! [X2] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X1),X2) = $true) <~> ! [X3] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),X3) = $true))),
% 0.13/0.38 inference(ennf_transformation,[],[f6])).
% 0.13/0.38 thf(f6,plain,(
% 0.13/0.38 ~? [X0] : (? [X1] : ! [X2] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X1),X2) = $true) <=> ! [X3] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),X3) = $true))),
% 0.13/0.38 inference(fool_elimination,[],[f5])).
% 0.13/0.38 thf(f5,plain,(
% 0.13/0.38 ~? [X0] : (? [X1] : ! [X2] : vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X1),X2) <=> ! [X3] : vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),X3))),
% 0.13/0.38 inference(rectify,[],[f2])).
% 0.13/0.38 thf(f2,negated_conjecture,(
% 0.13/0.38 ~? [X0] : (? [X1] : ! [X2] : vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X1),X2) <=> ! [X3] : vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),X3))),
% 0.13/0.38 inference(negated_conjecture,[],[f1])).
% 0.13/0.38 thf(f1,conjecture,(
% 0.13/0.38 ? [X0] : (? [X1] : ! [X2] : vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X1),X2) <=> ! [X3] : vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),X3))),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cX_2002_12_17)).
% 0.13/0.38 thf(f50,plain,(
% 0.13/0.38 spl3_1 | spl3_2),
% 0.13/0.38 inference(avatar_split_clause,[],[f14,f48,f45])).
% 0.13/0.38 thf(f14,plain,(
% 0.13/0.38 ( ! [X0 : $i,X6 : $i,X4 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),X4)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,sK2),X6))) )),
% 0.13/0.38 inference(cnf_transformation,[],[f13])).
% 0.13/0.38 % SZS output end Proof for theBenchmark
% 0.13/0.38 % (29594)------------------------------
% 0.13/0.38 % (29594)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.38 % (29594)Termination reason: Refutation
% 0.13/0.38
% 0.13/0.38 % (29594)Memory used [KB]: 772
% 0.13/0.38 % (29594)Time elapsed: 0.006 s
% 0.13/0.38 % (29594)Instructions burned: 6 (million)
% 0.13/0.38 % (29591)Success in time 0.024 s
%------------------------------------------------------------------------------