TSTP Solution File: SYO142^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO142^5 : 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 : n021.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 09:10:25 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
% 0.08/0.12 % Problem : SYO142^5 : TPTP v8.2.0. Released v4.0.0.
% 0.08/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n021.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 09:47:07 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % (31815)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (31819)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 % (31818)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 % (31821)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.37 % (31820)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.37 % (31817)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37 % (31822)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 % (31816)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.37 % (31819)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.13/0.37 % (31818)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.13/0.37 % Exception at run slice level% 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
% 0.13/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs% Exception at run slice level
% 0.13/0.37
% 0.13/0.37 % Exception at run slice levelUser error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.37
% 0.13/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.37 % (31821)First to succeed.
% 0.13/0.37 % (31818)Also succeeded, but the first one will report.
% 0.13/0.37 % (31821)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-31815"
% 0.13/0.37 % (31820)Also succeeded, but the first one will report.
% 0.13/0.37 % (31821)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_1, type, f: $i > $i).
% 0.13/0.37 thf(func_def_2, type, p: $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(f57,plain,(
% 0.13/0.37 $false),
% 0.13/0.37 inference(avatar_sat_refutation,[],[f19,f24,f54,f56])).
% 0.13/0.37 thf(f56,plain,(
% 0.13/0.37 ~spl0_1 | ~spl0_3),
% 0.13/0.37 inference(avatar_contradiction_clause,[],[f55])).
% 0.13/0.37 thf(f55,plain,(
% 0.13/0.37 $false | (~spl0_1 | ~spl0_3)),
% 0.13/0.37 inference(subsumption_resolution,[],[f14,f22])).
% 0.13/0.37 thf(f22,plain,(
% 0.13/0.37 ( ! [X0 : $i] : ((vAPP($i,$o,p,X0) = $true)) ) | ~spl0_3),
% 0.13/0.37 inference(avatar_component_clause,[],[f21])).
% 0.13/0.37 thf(f21,plain,(
% 0.13/0.37 spl0_3 <=> ! [X0] : (vAPP($i,$o,p,X0) = $true)),
% 0.13/0.37 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])).
% 0.13/0.37 thf(f14,plain,(
% 0.13/0.37 ( ! [X1 : $i] : ((vAPP($i,$o,p,vAPP($i,$i,f,vAPP($i,$i,f,X1))) != $true)) ) | ~spl0_1),
% 0.13/0.37 inference(avatar_component_clause,[],[f13])).
% 0.13/0.37 thf(f13,plain,(
% 0.13/0.37 spl0_1 <=> ! [X1] : (vAPP($i,$o,p,vAPP($i,$i,f,vAPP($i,$i,f,X1))) != $true)),
% 0.13/0.37 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
% 0.13/0.37 thf(f54,plain,(
% 0.13/0.37 spl0_2 | ~spl0_3),
% 0.13/0.37 inference(avatar_contradiction_clause,[],[f53])).
% 0.13/0.37 thf(f53,plain,(
% 0.13/0.37 $false | (spl0_2 | ~spl0_3)),
% 0.13/0.37 inference(subsumption_resolution,[],[f18,f22])).
% 0.13/0.37 thf(f18,plain,(
% 0.13/0.37 (vAPP($i,$o,p,vAPP($i,$i,f,vAPP($i,$i,f,a))) != $true) | spl0_2),
% 0.13/0.37 inference(avatar_component_clause,[],[f16])).
% 0.13/0.37 thf(f16,plain,(
% 0.13/0.37 spl0_2 <=> (vAPP($i,$o,p,vAPP($i,$i,f,vAPP($i,$i,f,a))) = $true)),
% 0.13/0.37 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 0.13/0.37 thf(f24,plain,(
% 0.13/0.37 spl0_3 | spl0_3),
% 0.13/0.37 inference(avatar_split_clause,[],[f8,f21,f21])).
% 0.13/0.37 thf(f8,plain,(
% 0.13/0.37 ( ! [X0 : $i,X1 : $i] : ((vAPP($i,$o,p,X1) = $true) | (vAPP($i,$o,p,X0) = $true)) )),
% 0.13/0.37 inference(cnf_transformation,[],[f7])).
% 0.13/0.37 thf(f7,plain,(
% 0.13/0.37 ! [X0,X1] : (((vAPP($i,$o,p,vAPP($i,$i,f,vAPP($i,$i,f,a))) != $true) & (vAPP($i,$o,p,X1) = $true)) | ((vAPP($i,$o,p,vAPP($i,$i,f,vAPP($i,$i,f,X1))) != $true) & (vAPP($i,$o,p,X0) = $true)))),
% 0.13/0.37 inference(ennf_transformation,[],[f6])).
% 0.13/0.37 thf(f6,plain,(
% 0.13/0.37 ~? [X0,X1] : (((vAPP($i,$o,p,X1) = $true) => (vAPP($i,$o,p,vAPP($i,$i,f,vAPP($i,$i,f,a))) = $true)) & ((vAPP($i,$o,p,X0) = $true) => (vAPP($i,$o,p,vAPP($i,$i,f,vAPP($i,$i,f,X1))) = $true)))),
% 0.13/0.37 inference(fool_elimination,[],[f5])).
% 0.13/0.37 thf(f5,plain,(
% 0.13/0.37 ~? [X0,X1] : ((vAPP($i,$o,p,X1) => vAPP($i,$o,p,vAPP($i,$i,f,vAPP($i,$i,f,a)))) & (vAPP($i,$o,p,X0) => vAPP($i,$o,p,vAPP($i,$i,f,vAPP($i,$i,f,X1)))))),
% 0.13/0.37 inference(rectify,[],[f2])).
% 0.13/0.37 thf(f2,negated_conjecture,(
% 0.13/0.37 ~? [X0,X1] : ((vAPP($i,$o,p,X1) => vAPP($i,$o,p,vAPP($i,$i,f,vAPP($i,$i,f,a)))) & (vAPP($i,$o,p,X0) => vAPP($i,$o,p,vAPP($i,$i,f,vAPP($i,$i,f,X1)))))),
% 0.13/0.37 inference(negated_conjecture,[],[f1])).
% 0.13/0.37 thf(f1,conjecture,(
% 0.13/0.37 ? [X0,X1] : ((vAPP($i,$o,p,X1) => vAPP($i,$o,p,vAPP($i,$i,f,vAPP($i,$i,f,a)))) & (vAPP($i,$o,p,X0) => vAPP($i,$o,p,vAPP($i,$i,f,vAPP($i,$i,f,X1)))))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTEST4)).
% 0.13/0.37 thf(f19,plain,(
% 0.13/0.37 spl0_1 | ~spl0_2),
% 0.13/0.37 inference(avatar_split_clause,[],[f11,f16,f13])).
% 0.13/0.37 thf(f11,plain,(
% 0.13/0.37 ( ! [X1 : $i] : ((vAPP($i,$o,p,vAPP($i,$i,f,vAPP($i,$i,f,a))) != $true) | (vAPP($i,$o,p,vAPP($i,$i,f,vAPP($i,$i,f,X1))) != $true)) )),
% 0.13/0.37 inference(cnf_transformation,[],[f7])).
% 0.13/0.37 % SZS output end Proof for theBenchmark
% 0.13/0.37 % (31821)------------------------------
% 0.13/0.37 % (31821)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37 % (31821)Termination reason: Refutation
% 0.13/0.37
% 0.13/0.37 % (31821)Memory used [KB]: 764
% 0.13/0.37 % (31821)Time elapsed: 0.005 s
% 0.13/0.37 % (31821)Instructions burned: 4 (million)
% 0.13/0.37 % (31815)Success in time 0.018 s
%------------------------------------------------------------------------------