TSTP Solution File: SEV433^1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEV433^1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n014.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 04:15:47 EDT 2024
% Result : Theorem 0.22s 0.41s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEV433^1 : TPTP v8.2.0. Released v5.2.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.37 % Computer : n014.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Sun May 19 19:07:38 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.14/0.38 % (20764)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.39 % (20767)WARNING: value z3 for option sas not known
% 0.14/0.39 % (20768)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.39 % (20766)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.39 % (20765)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.39 % (20769)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)
% 0.14/0.39 % (20770)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)
% 0.14/0.39 % (20767)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)
% 0.14/0.39 % (20771)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)
% 0.14/0.39 % Exception at run slice level
% 0.14/0.39 % Exception at run slice levelUser error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.39 % (20771)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.39 % Exception at run slice level
% 0.14/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.39
% 0.14/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.22/0.40 % (20771)First to succeed.
% 0.22/0.40 % (20771)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-20764"
% 0.22/0.41 % (20771)Refutation found. Thanks to Tanya!
% 0.22/0.41 % SZS status Theorem for theBenchmark
% 0.22/0.41 % SZS output start Proof for theBenchmark
% 0.22/0.41 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.22/0.41 thf(func_def_0, type, f: $i > $o).
% 0.22/0.41 thf(func_def_7, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
% 0.22/0.41 thf(func_def_8, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
% 0.22/0.41 thf(func_def_9, type, vAND: $o > $o > $o).
% 0.22/0.41 thf(func_def_10, type, vOR: $o > $o > $o).
% 0.22/0.41 thf(func_def_11, type, vIMP: $o > $o > $o).
% 0.22/0.41 thf(func_def_12, type, vNOT: $o > $o).
% 0.22/0.41 thf(func_def_13, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.22/0.41 thf(f330,plain,(
% 0.22/0.41 $false),
% 0.22/0.41 inference(trivial_inequality_removal,[],[f329])).
% 0.22/0.41 thf(f329,plain,(
% 0.22/0.41 ($true = $false)),
% 0.22/0.41 inference(forward_demodulation,[],[f294,f181])).
% 0.22/0.41 thf(f181,plain,(
% 0.22/0.41 ($false = vAPP($i,$o,f,sK1))),
% 0.22/0.41 inference(unit_resulting_resolution,[],[f12,f10,f11,f159])).
% 0.22/0.41 thf(f159,plain,(
% 0.22/0.41 ( ! [X2 : $i,X0 : $i,X1 : $i] : ((X0 = X1) | (X1 = X2) | (X0 = X2) | (vAPP($i,$o,f,X0) = $false)) )),
% 0.22/0.41 inference(trivial_inequality_removal,[],[f141])).
% 0.22/0.41 thf(f141,plain,(
% 0.22/0.41 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($false != $false) | (X0 = X1) | (X1 = X2) | (X0 = X2) | (vAPP($i,$o,f,X0) = $false)) )),
% 0.22/0.41 inference(equality_factoring,[],[f101])).
% 0.22/0.41 thf(f101,plain,(
% 0.22/0.41 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : ((X1 = X2) | ($false = vAPP($i,$o,f,X2)) | (X0 = X1) | (X0 = X3) | ($false = vAPP($i,$o,f,X3))) )),
% 0.22/0.41 inference(trivial_inequality_removal,[],[f75])).
% 0.22/0.41 thf(f75,plain,(
% 0.22/0.41 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true = $false) | (X1 = X2) | ($false = vAPP($i,$o,f,X2)) | (X0 = X1) | (X0 = X3) | ($false = vAPP($i,$o,f,X3))) )),
% 0.22/0.41 inference(superposition,[],[f69,f15])).
% 0.22/0.41 thf(f15,plain,(
% 0.22/0.41 ( ! [X0 : $i,X1 : $i] : ((X0 = X1) | (vAPP($i,$o,f,X0) = $false) | (vAPP($i,$o,f,X1) = $false)) )),
% 0.22/0.41 inference(binary_proxy_clausification,[],[f13])).
% 0.22/0.41 thf(f13,plain,(
% 0.22/0.41 ( ! [X0 : $i,X1 : $i] : ((X0 = X1) | (vAPP($i,$o,f,X0) != vAPP($i,$o,f,X1))) )),
% 0.22/0.41 inference(cnf_transformation,[],[f7])).
% 0.22/0.41 thf(f7,plain,(
% 0.22/0.41 ! [X0,X1] : ((X0 = X1) | (vAPP($i,$o,f,X0) != vAPP($i,$o,f,X1)))),
% 0.22/0.41 inference(ennf_transformation,[],[f1])).
% 0.22/0.41 thf(f1,axiom,(
% 0.22/0.41 ! [X0,X1] : ((vAPP($i,$o,f,X0) = vAPP($i,$o,f,X1)) => (X0 = X1))),
% 0.22/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finj)).
% 0.22/0.41 thf(f69,plain,(
% 0.22/0.41 ( ! [X2 : $i,X0 : $i,X1 : $i] : ((X0 = X1) | (vAPP($i,$o,f,X1) = $false) | (X0 = X2) | ($true = vAPP($i,$o,f,X2))) )),
% 0.22/0.41 inference(trivial_inequality_removal,[],[f48])).
% 0.22/0.41 thf(f48,plain,(
% 0.22/0.41 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = $false) | (X0 = X1) | (vAPP($i,$o,f,X1) = $false) | (X0 = X2) | ($true = vAPP($i,$o,f,X2))) )),
% 0.22/0.41 inference(superposition,[],[f15,f14])).
% 0.22/0.41 thf(f14,plain,(
% 0.22/0.41 ( ! [X0 : $i,X1 : $i] : ((X0 = X1) | (vAPP($i,$o,f,X0) = $true) | (vAPP($i,$o,f,X1) = $true)) )),
% 0.22/0.41 inference(binary_proxy_clausification,[],[f13])).
% 0.22/0.41 thf(f11,plain,(
% 0.22/0.41 (sK0 != sK2)),
% 0.22/0.41 inference(cnf_transformation,[],[f9])).
% 0.22/0.41 thf(f9,plain,(
% 0.22/0.41 (sK1 != sK2) & (sK0 != sK2) & (sK0 != sK1)),
% 0.22/0.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f6,f8])).
% 0.22/0.41 thf(f8,plain,(
% 0.22/0.41 ? [X0,X1,X2] : ((X1 != X2) & (X0 != X2) & (X0 != X1)) => ((sK1 != sK2) & (sK0 != sK2) & (sK0 != sK1))),
% 0.22/0.41 introduced(choice_axiom,[])).
% 0.22/0.41 thf(f6,plain,(
% 0.22/0.41 ? [X0,X1,X2] : ((X1 != X2) & (X0 != X2) & (X0 != X1))),
% 0.22/0.41 inference(ennf_transformation,[],[f3])).
% 0.22/0.41 thf(f3,negated_conjecture,(
% 0.22/0.41 ~! [X0,X1,X2] : ((X1 = X2) | (X0 = X2) | (X0 = X1))),
% 0.22/0.41 inference(negated_conjecture,[],[f2])).
% 0.22/0.41 thf(f2,conjecture,(
% 0.22/0.41 ! [X0,X1,X2] : ((X1 = X2) | (X0 = X2) | (X0 = X1))),
% 0.22/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less3)).
% 0.22/0.41 thf(f10,plain,(
% 0.22/0.41 (sK0 != sK1)),
% 0.22/0.41 inference(cnf_transformation,[],[f9])).
% 0.22/0.41 thf(f12,plain,(
% 0.22/0.41 (sK1 != sK2)),
% 0.22/0.41 inference(cnf_transformation,[],[f9])).
% 0.22/0.41 thf(f294,plain,(
% 0.22/0.41 ($true = vAPP($i,$o,f,sK1))),
% 0.22/0.41 inference(unit_resulting_resolution,[],[f12,f244])).
% 0.22/0.41 thf(f244,plain,(
% 0.22/0.41 ( ! [X0 : $i] : ((vAPP($i,$o,f,X0) = $true) | (sK2 = X0)) )),
% 0.22/0.41 inference(trivial_inequality_removal,[],[f231])).
% 0.22/0.41 thf(f231,plain,(
% 0.22/0.41 ( ! [X0 : $i] : (($true = $false) | (sK2 = X0) | (vAPP($i,$o,f,X0) = $true)) )),
% 0.22/0.41 inference(superposition,[],[f180,f14])).
% 0.22/0.41 thf(f180,plain,(
% 0.22/0.41 ($false = vAPP($i,$o,f,sK2))),
% 0.22/0.41 inference(unit_resulting_resolution,[],[f12,f11,f10,f159])).
% 0.22/0.41 % SZS output end Proof for theBenchmark
% 0.22/0.41 % (20771)------------------------------
% 0.22/0.41 % (20771)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.41 % (20771)Termination reason: Refutation
% 0.22/0.41
% 0.22/0.41 % (20771)Memory used [KB]: 772
% 0.22/0.41 % (20771)Time elapsed: 0.013 s
% 0.22/0.41 % (20771)Instructions burned: 22 (million)
% 0.22/0.41 % (20764)Success in time 0.027 s
%------------------------------------------------------------------------------