TSTP Solution File: SYO160^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO160^5 : 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 : n007.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 09:10:27 EDT 2024
% Result : Theorem 0.16s 0.39s
% Output : Refutation 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYO160^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n007.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Mon May 20 09:12:23 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 % (1520)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38 % (1522)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.38 % (1526)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.16/0.38 % (1524)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.16/0.38 % (1523)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)
% 0.16/0.38 % (1521)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.38 % (1525)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.16/0.38 % (1523)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.16/0.38 % (1524)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.16/0.38 % Exception at run slice level
% 0.16/0.38 % Exception at run slice levelUser error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.16/0.38 % Exception at run slice level
% 0.16/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.16/0.38
% 0.16/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.16/0.38 % (1527)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)
% 0.16/0.38 % Exception at run slice level
% 0.16/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.16/0.38 % (1526)First to succeed.
% 0.16/0.38 % (1525)Also succeeded, but the first one will report.
% 0.16/0.39 % (1523)Also succeeded, but the first one will report.
% 0.16/0.39 % (1526)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1520"
% 0.16/0.39 % (1526)Refutation found. Thanks to Tanya!
% 0.16/0.39 % SZS status Theorem for theBenchmark
% 0.16/0.39 % SZS output start Proof for theBenchmark
% 0.16/0.39 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.16/0.39 thf(func_def_1, type, cR: $i > $o).
% 0.16/0.39 thf(func_def_4, type, cQ: $i > $o).
% 0.16/0.39 thf(func_def_5, type, cP: $i > $o).
% 0.16/0.39 thf(func_def_10, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
% 0.16/0.39 thf(func_def_11, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
% 0.16/0.39 thf(func_def_12, type, vAND: $o > $o > $o).
% 0.16/0.39 thf(func_def_13, type, vOR: $o > $o > $o).
% 0.16/0.39 thf(func_def_14, type, vIMP: $o > $o > $o).
% 0.16/0.39 thf(func_def_15, type, vNOT: $o > $o).
% 0.16/0.39 thf(func_def_16, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.16/0.39 thf(f106,plain,(
% 0.16/0.39 $false),
% 0.16/0.39 inference(avatar_sat_refutation,[],[f25,f32,f72,f81,f87,f89,f103,f105])).
% 0.16/0.39 thf(f105,plain,(
% 0.16/0.39 spl0_2 | ~spl0_5),
% 0.16/0.39 inference(avatar_contradiction_clause,[],[f104])).
% 0.16/0.39 thf(f104,plain,(
% 0.16/0.39 $false | (spl0_2 | ~spl0_5)),
% 0.16/0.39 inference(subsumption_resolution,[],[f20,f97])).
% 0.16/0.39 thf(f97,plain,(
% 0.16/0.39 ( ! [X0 : $i] : ((vAPP($i,$o,cR,X0) = $true)) ) | ~spl0_5),
% 0.16/0.39 inference(subsumption_resolution,[],[f11,f31])).
% 0.16/0.39 thf(f31,plain,(
% 0.16/0.39 ( ! [X2 : $i] : (($true = vAPP($i,$o,cQ,X2))) ) | ~spl0_5),
% 0.16/0.39 inference(avatar_component_clause,[],[f30])).
% 0.16/0.39 thf(f30,plain,(
% 0.16/0.39 spl0_5 <=> ! [X2] : ($true = vAPP($i,$o,cQ,X2))),
% 0.16/0.39 introduced(avatar_definition,[new_symbols(naming,[spl0_5])])).
% 0.16/0.39 thf(f11,plain,(
% 0.16/0.39 ( ! [X0 : $i] : ((vAPP($i,$o,cR,X0) = $true) | (vAPP($i,$o,cQ,X0) != $true)) )),
% 0.16/0.39 inference(cnf_transformation,[],[f8])).
% 0.16/0.39 thf(f8,plain,(
% 0.16/0.39 ((vAPP($i,$o,cR,c) != $true) | (vAPP($i,$o,cR,b) != $true) | (vAPP($i,$o,cR,a) != $true)) & ! [X0] : ((vAPP($i,$o,cR,X0) = $true) | (vAPP($i,$o,cQ,X0) != $true)) & ! [X1] : (($true = vAPP($i,$o,cR,X1)) | ($true != vAPP($i,$o,cP,X1))) & (! [X2] : ($true = vAPP($i,$o,cQ,X2)) | ! [X3] : ($true = vAPP($i,$o,cP,X3)))),
% 0.16/0.39 inference(flattening,[],[f7])).
% 0.16/0.39 thf(f7,plain,(
% 0.16/0.39 ((vAPP($i,$o,cR,c) != $true) | (vAPP($i,$o,cR,b) != $true) | (vAPP($i,$o,cR,a) != $true)) & (! [X0] : ((vAPP($i,$o,cR,X0) = $true) | (vAPP($i,$o,cQ,X0) != $true)) & ! [X1] : (($true = vAPP($i,$o,cR,X1)) | ($true != vAPP($i,$o,cP,X1))) & (! [X2] : ($true = vAPP($i,$o,cQ,X2)) | ! [X3] : ($true = vAPP($i,$o,cP,X3))))),
% 0.16/0.39 inference(ennf_transformation,[],[f6])).
% 0.16/0.39 thf(f6,plain,(
% 0.16/0.39 ~((! [X0] : ((vAPP($i,$o,cQ,X0) = $true) => (vAPP($i,$o,cR,X0) = $true)) & ! [X1] : (($true = vAPP($i,$o,cP,X1)) => ($true = vAPP($i,$o,cR,X1))) & (! [X2] : ($true = vAPP($i,$o,cQ,X2)) | ! [X3] : ($true = vAPP($i,$o,cP,X3)))) => ((vAPP($i,$o,cR,c) = $true) & (vAPP($i,$o,cR,b) = $true) & (vAPP($i,$o,cR,a) = $true)))),
% 0.16/0.39 inference(fool_elimination,[],[f5])).
% 0.16/0.39 thf(f5,plain,(
% 0.16/0.39 ~((! [X0] : (vAPP($i,$o,cQ,X0) => vAPP($i,$o,cR,X0)) & ! [X1] : (vAPP($i,$o,cP,X1) => vAPP($i,$o,cR,X1)) & (! [X2] : vAPP($i,$o,cQ,X2) | ! [X3] : vAPP($i,$o,cP,X3))) => (vAPP($i,$o,cR,c) & vAPP($i,$o,cR,b) & vAPP($i,$o,cR,a)))),
% 0.16/0.39 inference(rectify,[],[f2])).
% 0.16/0.39 thf(f2,negated_conjecture,(
% 0.16/0.39 ~((! [X0] : (vAPP($i,$o,cQ,X0) => vAPP($i,$o,cR,X0)) & ! [X0] : (vAPP($i,$o,cP,X0) => vAPP($i,$o,cR,X0)) & (! [X0] : vAPP($i,$o,cQ,X0) | ! [X0] : vAPP($i,$o,cP,X0))) => (vAPP($i,$o,cR,c) & vAPP($i,$o,cR,b) & vAPP($i,$o,cR,a)))),
% 0.16/0.39 inference(negated_conjecture,[],[f1])).
% 0.16/0.39 thf(f1,conjecture,(
% 0.16/0.39 (! [X0] : (vAPP($i,$o,cQ,X0) => vAPP($i,$o,cR,X0)) & ! [X0] : (vAPP($i,$o,cP,X0) => vAPP($i,$o,cR,X0)) & (! [X0] : vAPP($i,$o,cQ,X0) | ! [X0] : vAPP($i,$o,cP,X0))) => (vAPP($i,$o,cR,c) & vAPP($i,$o,cR,b) & vAPP($i,$o,cR,a))),
% 0.16/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cDISJ_THIRD)).
% 0.16/0.39 thf(f20,plain,(
% 0.16/0.39 (vAPP($i,$o,cR,b) != $true) | spl0_2),
% 0.16/0.39 inference(avatar_component_clause,[],[f18])).
% 0.16/0.39 thf(f18,plain,(
% 0.16/0.39 spl0_2 <=> (vAPP($i,$o,cR,b) = $true)),
% 0.16/0.39 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 0.16/0.39 thf(f103,plain,(
% 0.16/0.39 spl0_3 | ~spl0_5),
% 0.16/0.39 inference(avatar_contradiction_clause,[],[f102])).
% 0.16/0.39 thf(f102,plain,(
% 0.16/0.39 $false | (spl0_3 | ~spl0_5)),
% 0.16/0.39 inference(trivial_inequality_removal,[],[f98])).
% 0.16/0.39 thf(f98,plain,(
% 0.16/0.39 ($true = $false) | (spl0_3 | ~spl0_5)),
% 0.16/0.39 inference(superposition,[],[f97,f91])).
% 0.16/0.39 thf(f91,plain,(
% 0.16/0.39 (vAPP($i,$o,cR,c) = $false) | spl0_3),
% 0.16/0.39 inference(trivial_inequality_removal,[],[f90])).
% 0.16/0.39 thf(f90,plain,(
% 0.16/0.39 ($true != $true) | (vAPP($i,$o,cR,c) = $false) | spl0_3),
% 0.16/0.39 inference(superposition,[],[f24,f4])).
% 0.16/0.39 thf(f4,plain,(
% 0.16/0.39 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.16/0.39 introduced(fool_axiom,[])).
% 0.16/0.39 thf(f24,plain,(
% 0.16/0.39 (vAPP($i,$o,cR,c) != $true) | spl0_3),
% 0.16/0.39 inference(avatar_component_clause,[],[f22])).
% 0.16/0.39 thf(f22,plain,(
% 0.16/0.39 spl0_3 <=> (vAPP($i,$o,cR,c) = $true)),
% 0.16/0.39 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])).
% 0.16/0.39 thf(f89,plain,(
% 0.16/0.39 spl0_3 | ~spl0_4),
% 0.16/0.39 inference(avatar_contradiction_clause,[],[f88])).
% 0.16/0.39 thf(f88,plain,(
% 0.16/0.39 $false | (spl0_3 | ~spl0_4)),
% 0.16/0.39 inference(subsumption_resolution,[],[f24,f84])).
% 0.16/0.39 thf(f84,plain,(
% 0.16/0.39 ( ! [X1 : $i] : (($true = vAPP($i,$o,cR,X1))) ) | ~spl0_4),
% 0.16/0.39 inference(subsumption_resolution,[],[f10,f28])).
% 0.16/0.39 thf(f28,plain,(
% 0.16/0.39 ( ! [X3 : $i] : (($true = vAPP($i,$o,cP,X3))) ) | ~spl0_4),
% 0.16/0.39 inference(avatar_component_clause,[],[f27])).
% 0.16/0.39 thf(f27,plain,(
% 0.16/0.39 spl0_4 <=> ! [X3] : ($true = vAPP($i,$o,cP,X3))),
% 0.16/0.39 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])).
% 0.16/0.39 thf(f10,plain,(
% 0.16/0.39 ( ! [X1 : $i] : (($true != vAPP($i,$o,cP,X1)) | ($true = vAPP($i,$o,cR,X1))) )),
% 0.16/0.39 inference(cnf_transformation,[],[f8])).
% 0.16/0.39 thf(f87,plain,(
% 0.16/0.39 spl0_2 | ~spl0_4),
% 0.16/0.39 inference(avatar_contradiction_clause,[],[f86])).
% 0.16/0.39 thf(f86,plain,(
% 0.16/0.39 $false | (spl0_2 | ~spl0_4)),
% 0.16/0.39 inference(trivial_inequality_removal,[],[f85])).
% 0.16/0.39 thf(f85,plain,(
% 0.16/0.39 ($true != $true) | (spl0_2 | ~spl0_4)),
% 0.16/0.39 inference(superposition,[],[f20,f84])).
% 0.16/0.39 thf(f81,plain,(
% 0.16/0.39 spl0_1 | ~spl0_5),
% 0.16/0.39 inference(avatar_contradiction_clause,[],[f80])).
% 0.16/0.39 thf(f80,plain,(
% 0.16/0.39 $false | (spl0_1 | ~spl0_5)),
% 0.16/0.39 inference(trivial_inequality_removal,[],[f76])).
% 0.16/0.39 thf(f76,plain,(
% 0.16/0.39 ($true = $false) | (spl0_1 | ~spl0_5)),
% 0.16/0.39 inference(superposition,[],[f75,f62])).
% 0.16/0.39 thf(f62,plain,(
% 0.16/0.39 (vAPP($i,$o,cR,a) = $false) | spl0_1),
% 0.16/0.39 inference(trivial_inequality_removal,[],[f61])).
% 0.16/0.39 thf(f61,plain,(
% 0.16/0.39 ($true != $true) | (vAPP($i,$o,cR,a) = $false) | spl0_1),
% 0.16/0.39 inference(superposition,[],[f16,f4])).
% 0.16/0.39 thf(f16,plain,(
% 0.16/0.39 (vAPP($i,$o,cR,a) != $true) | spl0_1),
% 0.16/0.39 inference(avatar_component_clause,[],[f14])).
% 0.16/0.39 thf(f14,plain,(
% 0.16/0.39 spl0_1 <=> (vAPP($i,$o,cR,a) = $true)),
% 0.16/0.39 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
% 0.16/0.39 thf(f75,plain,(
% 0.16/0.39 ( ! [X0 : $i] : ((vAPP($i,$o,cR,X0) = $true)) ) | ~spl0_5),
% 0.16/0.39 inference(subsumption_resolution,[],[f11,f31])).
% 0.16/0.39 thf(f72,plain,(
% 0.16/0.39 spl0_1 | ~spl0_4),
% 0.16/0.39 inference(avatar_contradiction_clause,[],[f71])).
% 0.16/0.39 thf(f71,plain,(
% 0.16/0.39 $false | (spl0_1 | ~spl0_4)),
% 0.16/0.39 inference(trivial_inequality_removal,[],[f67])).
% 0.16/0.39 thf(f67,plain,(
% 0.16/0.39 ($true = $false) | (spl0_1 | ~spl0_4)),
% 0.16/0.39 inference(superposition,[],[f66,f62])).
% 0.16/0.39 thf(f66,plain,(
% 0.16/0.39 ( ! [X1 : $i] : (($true = vAPP($i,$o,cR,X1))) ) | ~spl0_4),
% 0.16/0.39 inference(subsumption_resolution,[],[f10,f28])).
% 0.16/0.39 thf(f32,plain,(
% 0.16/0.39 spl0_4 | spl0_5),
% 0.16/0.39 inference(avatar_split_clause,[],[f9,f30,f27])).
% 0.16/0.39 thf(f9,plain,(
% 0.16/0.39 ( ! [X2 : $i,X3 : $i] : (($true = vAPP($i,$o,cQ,X2)) | ($true = vAPP($i,$o,cP,X3))) )),
% 0.16/0.39 inference(cnf_transformation,[],[f8])).
% 0.16/0.39 thf(f25,plain,(
% 0.16/0.39 ~spl0_1 | ~spl0_2 | ~spl0_3),
% 0.16/0.39 inference(avatar_split_clause,[],[f12,f22,f18,f14])).
% 0.16/0.39 thf(f12,plain,(
% 0.16/0.39 (vAPP($i,$o,cR,c) != $true) | (vAPP($i,$o,cR,b) != $true) | (vAPP($i,$o,cR,a) != $true)),
% 0.16/0.39 inference(cnf_transformation,[],[f8])).
% 0.16/0.39 % SZS output end Proof for theBenchmark
% 0.16/0.39 % (1526)------------------------------
% 0.16/0.39 % (1526)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.39 % (1526)Termination reason: Refutation
% 0.16/0.39
% 0.16/0.39 % (1526)Memory used [KB]: 774
% 0.16/0.39 % (1526)Time elapsed: 0.006 s
% 0.16/0.39 % (1526)Instructions burned: 8 (million)
% 0.16/0.39 % (1520)Success in time 0.007 s
%------------------------------------------------------------------------------