TSTP Solution File: SEU928^5 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SEU928^5 : 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 : n011.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 04:07:04 EDT 2024

% Result   : Theorem 0.21s 0.37s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SEU928^5 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35  % Computer : n011.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   : Sun May 19 16:39:38 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  % (8416)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37  % (8419)WARNING: value z3 for option sas not known
% 0.13/0.37  % (8418)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37  % (8417)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37  % (8419)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37  % (8420)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37  % (8421)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.37  % (8422)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.37  % (8423)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.37  % Exception at run slice level% Exception at run slice level
% 0.13/0.37  
% 0.13/0.37  User error: User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructsFinite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.37  
% 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  % (8423)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.13/0.37  % (8423)First to succeed.
% 0.13/0.37  % (8422)Also succeeded, but the first one will report.
% 0.21/0.37  % (8423)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8416"
% 0.21/0.37  % (8421)Also succeeded, but the first one will report.
% 0.21/0.37  % (8419)Also succeeded, but the first one will report.
% 0.21/0.37  % (8423)Refutation found. Thanks to Tanya!
% 0.21/0.37  % SZS status Theorem for theBenchmark
% 0.21/0.37  % SZS output start Proof for theBenchmark
% 0.21/0.37  thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.21/0.37  thf(func_def_3, type, sK0: $i > $i).
% 0.21/0.37  thf(func_def_6, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
% 0.21/0.37  thf(func_def_7, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
% 0.21/0.37  thf(func_def_8, type, vAND: $o > $o > $o).
% 0.21/0.37  thf(func_def_9, type, vOR: $o > $o > $o).
% 0.21/0.37  thf(func_def_10, type, vIMP: $o > $o > $o).
% 0.21/0.37  thf(func_def_11, type, vNOT: $o > $o).
% 0.21/0.37  thf(func_def_12, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.21/0.37  thf(f49,plain,(
% 0.21/0.37    $false),
% 0.21/0.37    inference(subsumption_resolution,[],[f48,f12])).
% 0.21/0.37  thf(f12,plain,(
% 0.21/0.37    (vAPP($i,$i,sK0,vAPP($i,$i,sK0,sK1)) = vAPP($i,$i,sK0,vAPP($i,$i,sK0,sK2)))),
% 0.21/0.37    inference(cnf_transformation,[],[f10])).
% 0.21/0.37  thf(f10,plain,(
% 0.21/0.37    ((sK1 != sK2) & (vAPP($i,$i,sK0,vAPP($i,$i,sK0,sK1)) = vAPP($i,$i,sK0,vAPP($i,$i,sK0,sK2)))) & ! [X3,X4] : ((X3 = X4) | (vAPP($i,$i,sK0,X3) != vAPP($i,$i,sK0,X4)))),
% 0.21/0.37    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f7,f9,f8])).
% 0.21/0.37  thf(f8,plain,(
% 0.21/0.37    ? [X0 : $i > $i] : (? [X1,X2] : ((X1 != X2) & (vAPP($i,$i,X0,vAPP($i,$i,X0,X1)) = vAPP($i,$i,X0,vAPP($i,$i,X0,X2)))) & ! [X3,X4] : ((X3 = X4) | (vAPP($i,$i,X0,X3) != vAPP($i,$i,X0,X4)))) => (? [X2,X1] : ((X1 != X2) & (vAPP($i,$i,sK0,vAPP($i,$i,sK0,X1)) = vAPP($i,$i,sK0,vAPP($i,$i,sK0,X2)))) & ! [X4,X3] : ((X3 = X4) | (vAPP($i,$i,sK0,X3) != vAPP($i,$i,sK0,X4))))),
% 0.21/0.37    introduced(choice_axiom,[])).
% 0.21/0.37  thf(f9,plain,(
% 0.21/0.37    ? [X2,X1] : ((X1 != X2) & (vAPP($i,$i,sK0,vAPP($i,$i,sK0,X1)) = vAPP($i,$i,sK0,vAPP($i,$i,sK0,X2)))) => ((sK1 != sK2) & (vAPP($i,$i,sK0,vAPP($i,$i,sK0,sK1)) = vAPP($i,$i,sK0,vAPP($i,$i,sK0,sK2))))),
% 0.21/0.37    introduced(choice_axiom,[])).
% 0.21/0.37  thf(f7,plain,(
% 0.21/0.37    ? [X0 : $i > $i] : (? [X1,X2] : ((X1 != X2) & (vAPP($i,$i,X0,vAPP($i,$i,X0,X1)) = vAPP($i,$i,X0,vAPP($i,$i,X0,X2)))) & ! [X3,X4] : ((X3 = X4) | (vAPP($i,$i,X0,X3) != vAPP($i,$i,X0,X4))))),
% 0.21/0.37    inference(rectify,[],[f6])).
% 0.21/0.37  thf(f6,plain,(
% 0.21/0.37    ? [X0 : $i > $i] : (? [X3,X4] : ((X3 != X4) & (vAPP($i,$i,X0,vAPP($i,$i,X0,X3)) = vAPP($i,$i,X0,vAPP($i,$i,X0,X4)))) & ! [X1,X2] : ((X1 = X2) | (vAPP($i,$i,X0,X1) != vAPP($i,$i,X0,X2))))),
% 0.21/0.38    inference(ennf_transformation,[],[f5])).
% 0.21/0.38  thf(f5,plain,(
% 0.21/0.38    ~! [X0 : $i > $i] : (! [X1,X2] : ((vAPP($i,$i,X0,X1) = vAPP($i,$i,X0,X2)) => (X1 = X2)) => ! [X3,X4] : ((vAPP($i,$i,X0,vAPP($i,$i,X0,X3)) = vAPP($i,$i,X0,vAPP($i,$i,X0,X4))) => (X3 = X4)))),
% 0.21/0.38    inference(rectify,[],[f2])).
% 0.21/0.38  thf(f2,negated_conjecture,(
% 0.21/0.38    ~! [X0 : $i > $i] : (! [X1,X2] : ((vAPP($i,$i,X0,X1) = vAPP($i,$i,X0,X2)) => (X1 = X2)) => ! [X1,X2] : ((vAPP($i,$i,X0,vAPP($i,$i,X0,X1)) = vAPP($i,$i,X0,vAPP($i,$i,X0,X2))) => (X1 = X2)))),
% 0.21/0.38    inference(negated_conjecture,[],[f1])).
% 0.21/0.38  thf(f1,conjecture,(
% 0.21/0.38    ! [X0 : $i > $i] : (! [X1,X2] : ((vAPP($i,$i,X0,X1) = vAPP($i,$i,X0,X2)) => (X1 = X2)) => ! [X1,X2] : ((vAPP($i,$i,X0,vAPP($i,$i,X0,X1)) = vAPP($i,$i,X0,vAPP($i,$i,X0,X2))) => (X1 = X2)))),
% 0.21/0.38    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM48A_pme)).
% 0.21/0.38  thf(f48,plain,(
% 0.21/0.38    (vAPP($i,$i,sK0,vAPP($i,$i,sK0,sK1)) != vAPP($i,$i,sK0,vAPP($i,$i,sK0,sK2)))),
% 0.21/0.38    inference(unit_resulting_resolution,[],[f45,f11])).
% 0.21/0.38  thf(f11,plain,(
% 0.21/0.38    ( ! [X3 : $i,X4 : $i] : ((vAPP($i,$i,sK0,X3) != vAPP($i,$i,sK0,X4)) | (X3 = X4)) )),
% 0.21/0.38    inference(cnf_transformation,[],[f10])).
% 0.21/0.38  thf(f45,plain,(
% 0.21/0.38    (vAPP($i,$i,sK0,sK1) != vAPP($i,$i,sK0,sK2))),
% 0.21/0.38    inference(unit_resulting_resolution,[],[f13,f11])).
% 0.21/0.38  thf(f13,plain,(
% 0.21/0.38    (sK1 != sK2)),
% 0.21/0.38    inference(cnf_transformation,[],[f10])).
% 0.21/0.38  % SZS output end Proof for theBenchmark
% 0.21/0.38  % (8423)------------------------------
% 0.21/0.38  % (8423)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.38  % (8423)Termination reason: Refutation
% 0.21/0.38  
% 0.21/0.38  % (8423)Memory used [KB]: 760
% 0.21/0.38  % (8423)Time elapsed: 0.004 s
% 0.21/0.38  % (8423)Instructions burned: 4 (million)
% 0.21/0.38  % (8416)Success in time 0.019 s
%------------------------------------------------------------------------------