TSTP Solution File: CSR119^1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : CSR119^1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n023.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 : Sun May  5 05:03:33 EDT 2024

% Result   : Theorem 0.17s 0.36s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : CSR119^1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33  % Computer : n023.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Fri May  3 20:17:38 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.12/0.34  % (28605)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.35  % (28611)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.12/0.35  % (28610)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.12/0.35  % (28607)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.35  % (28612)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)
% 0.12/0.35  % (28606)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.12/0.35  % (28608)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)
% 0.12/0.35  % (28609)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.12/0.35  % Exception at run slice level% Exception at run slice level
% 0.12/0.35  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.12/0.35  % (28608)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.12/0.35  % Exception at run slice level
% 0.12/0.35  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.12/0.35  
% 0.12/0.35  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.12/0.35  % (28609)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.12/0.35  % Exception at run slice level
% 0.12/0.35  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.12/0.35  % (28611)First to succeed.
% 0.17/0.35  % (28611)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-28605"
% 0.17/0.36  % (28608)Also succeeded, but the first one will report.
% 0.17/0.36  % (28611)Refutation found. Thanks to Tanya!
% 0.17/0.36  % SZS status Theorem for theBenchmark
% 0.17/0.36  % SZS output start Proof for theBenchmark
% 0.17/0.36  thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.17/0.36  thf(func_def_0, type, num: $tType).
% 0.17/0.36  thf(func_def_1, type, holdsDuring_THFTYPE_IiooI: $i > $o > $o).
% 0.17/0.36  thf(func_def_5, type, lYearFn_THFTYPE_IiiI: $i > $i).
% 0.17/0.36  thf(func_def_6, type, likes_THFTYPE_IiioI: $i > $i > $o).
% 0.17/0.36  thf(func_def_11, type, vAND: $o > $o > $o).
% 0.17/0.36  thf(func_def_13, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
% 0.17/0.36  thf(func_def_14, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
% 0.17/0.36  thf(func_def_15, type, vOR: $o > $o > $o).
% 0.17/0.36  thf(func_def_16, type, vIMP: $o > $o > $o).
% 0.17/0.36  thf(func_def_17, type, vNOT: $o > $o).
% 0.17/0.36  thf(func_def_18, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.17/0.36  thf(f103,plain,(
% 0.17/0.36    $false),
% 0.17/0.36    inference(avatar_sat_refutation,[],[f90,f102])).
% 0.17/0.36  thf(f102,plain,(
% 0.17/0.36    ~spl0_3),
% 0.17/0.36    inference(avatar_contradiction_clause,[],[f101])).
% 0.17/0.36  thf(f101,plain,(
% 0.17/0.36    $false | ~spl0_3),
% 0.17/0.36    inference(trivial_inequality_removal,[],[f99])).
% 0.17/0.36  thf(f99,plain,(
% 0.17/0.36    ($false != $false) | ~spl0_3),
% 0.17/0.36    inference(superposition,[],[f98,f70])).
% 0.17/0.36  thf(f70,plain,(
% 0.17/0.36    (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i) = $false) | ~spl0_3),
% 0.17/0.36    inference(avatar_component_clause,[],[f68])).
% 0.17/0.36  thf(f68,plain,(
% 0.17/0.36    spl0_3 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i) = $false)),
% 0.17/0.36    introduced(avatar_definition,[new_symbols(naming,[spl0_3])])).
% 0.17/0.36  thf(f98,plain,(
% 0.17/0.36    ( ! [X0 : $i] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,X0),lBill_THFTYPE_i) != $false)) ) | ~spl0_3),
% 0.17/0.36    inference(trivial_inequality_removal,[],[f97])).
% 0.17/0.36  thf(f97,plain,(
% 0.17/0.36    ( ! [X0 : $i] : (($true != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,X0),lBill_THFTYPE_i) != $false)) ) | ~spl0_3),
% 0.17/0.36    inference(constrained_superposition,[],[f11,f96])).
% 0.17/0.36  thf(f96,plain,(
% 0.17/0.36    ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),$false)) | ~spl0_3),
% 0.17/0.36    inference(boolean_simplification,[],[f92])).
% 0.17/0.36  thf(f92,plain,(
% 0.17/0.36    ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,$false),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i)))) | ~spl0_3),
% 0.17/0.36    inference(backward_demodulation,[],[f12,f70])).
% 0.17/0.36  thf(f12,plain,(
% 0.17/0.36    ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i))))),
% 0.17/0.36    inference(cnf_transformation,[],[f9])).
% 0.17/0.36  thf(f9,plain,(
% 0.17/0.36    ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i))))),
% 0.17/0.36    inference(fool_elimination,[],[f8])).
% 0.17/0.36  thf(f8,plain,(
% 0.17/0.36    vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i) & vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i))),
% 0.17/0.36    inference(rectify,[],[f1])).
% 0.17/0.36  thf(f1,axiom,(
% 0.17/0.36    vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i) & vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i))),
% 0.17/0.36    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax)).
% 0.17/0.36  thf(f11,plain,(
% 0.17/0.36    ( ! [X0 : $i] : ((vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,X0),lBill_THFTYPE_i)) != $true)) )),
% 0.17/0.36    inference(cnf_transformation,[],[f10])).
% 0.17/0.36  thf(f10,plain,(
% 0.17/0.36    ! [X0] : (vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,X0),lBill_THFTYPE_i)) != $true)),
% 0.17/0.36    inference(ennf_transformation,[],[f7])).
% 0.17/0.36  thf(f7,plain,(
% 0.17/0.36    ~? [X0] : (vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,X0),lBill_THFTYPE_i)) = $true)),
% 0.17/0.36    inference(fool_elimination,[],[f6])).
% 0.17/0.36  thf(f6,plain,(
% 0.17/0.36    ~? [X0] : vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,X0),lBill_THFTYPE_i))),
% 0.17/0.36    inference(rectify,[],[f3])).
% 0.17/0.36  thf(f3,negated_conjecture,(
% 0.17/0.36    ~? [X0] : vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,X0),lBill_THFTYPE_i))),
% 0.17/0.36    inference(negated_conjecture,[],[f2])).
% 0.17/0.36  thf(f2,conjecture,(
% 0.17/0.36    ? [X0] : vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,X0),lBill_THFTYPE_i))),
% 0.17/0.36    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con)).
% 0.17/0.36  thf(f90,plain,(
% 0.17/0.36    spl0_3),
% 0.17/0.36    inference(avatar_split_clause,[],[f65,f68])).
% 0.17/0.36  thf(f65,plain,(
% 0.17/0.36    (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i) = $false)),
% 0.17/0.36    inference(subsumption_resolution,[],[f64,f11])).
% 0.17/0.36  thf(f64,plain,(
% 0.17/0.36    ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i))) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i) = $false)),
% 0.17/0.36    inference(boolean_simplification,[],[f52])).
% 0.17/0.36  thf(f52,plain,(
% 0.17/0.36    ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,$true),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i)))) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i) = $false)),
% 0.17/0.36    inference(superposition,[],[f12,f5])).
% 0.17/0.36  thf(f5,plain,(
% 0.17/0.36    ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.17/0.36    introduced(fool_axiom,[])).
% 0.17/0.36  % SZS output end Proof for theBenchmark
% 0.17/0.36  % (28611)------------------------------
% 0.17/0.36  % (28611)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.17/0.36  % (28611)Termination reason: Refutation
% 0.17/0.36  
% 0.17/0.36  % (28611)Memory used [KB]: 788
% 0.17/0.36  % (28611)Time elapsed: 0.006 s
% 0.17/0.36  % (28611)Instructions burned: 7 (million)
% 0.17/0.36  % (28605)Success in time 0.018 s
%------------------------------------------------------------------------------