TSTP Solution File: SEV412^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEV412^5 : 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 : 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 : Tue May 21 04:15:44 EDT 2024
% Result : Theorem 0.15s 0.38s
% Output : Refutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13 % Problem : SEV412^5 : TPTP v8.2.0. Released v4.0.0.
% 0.09/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n023.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun May 19 18:35:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (28674)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (28681)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)
% 0.15/0.37 % Exception at run slice level
% 0.15/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.38 % (28675)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 % (28677)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)
% 0.15/0.38 % (28679)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38 % (28680)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38 % (28678)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38 % (28676)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (28677)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.15/0.38 % Exception at run slice level
% 0.15/0.38 User error: % (28678)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.15/0.38 Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.38 % Exception at run slice level
% 0.15/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.38 % Exception at run slice level
% 0.15/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.38 % (28679)Also succeeded, but the first one will report.
% 0.15/0.38 % (28680)First to succeed.
% 0.15/0.38 % (28677)Also succeeded, but the first one will report.
% 0.15/0.38 % (28680)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-28674"
% 0.15/0.38 % (28682)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (28680)Refutation found. Thanks to Tanya!
% 0.15/0.38 % SZS status Theorem for theBenchmark
% 0.15/0.38 % SZS output start Proof for theBenchmark
% 0.15/0.38 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.15/0.38 thf(func_def_0, type, cG: $o).
% 0.15/0.38 thf(func_def_1, type, cB: $i > $o).
% 0.15/0.38 thf(func_def_2, type, cA: $i > $o).
% 0.15/0.38 thf(func_def_9, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
% 0.15/0.38 thf(func_def_10, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
% 0.15/0.38 thf(func_def_11, type, vAND: $o > $o > $o).
% 0.15/0.38 thf(func_def_12, type, vOR: $o > $o > $o).
% 0.15/0.38 thf(func_def_13, type, vIMP: $o > $o > $o).
% 0.15/0.38 thf(func_def_14, type, vNOT: $o > $o).
% 0.15/0.38 thf(func_def_15, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.15/0.38 thf(f96,plain,(
% 0.15/0.38 $false),
% 0.15/0.38 inference(avatar_sat_refutation,[],[f35,f40,f45,f46,f47,f89,f95])).
% 0.15/0.38 thf(f95,plain,(
% 0.15/0.38 spl2_2 | ~spl2_5),
% 0.15/0.38 inference(avatar_contradiction_clause,[],[f94])).
% 0.15/0.38 thf(f94,plain,(
% 0.15/0.38 $false | (spl2_2 | ~spl2_5)),
% 0.15/0.38 inference(subsumption_resolution,[],[f93,f30])).
% 0.15/0.38 thf(f30,plain,(
% 0.15/0.38 ($true != vAPP($i,$o,cB,sK0)) | spl2_2),
% 0.15/0.38 inference(avatar_component_clause,[],[f28])).
% 0.15/0.38 thf(f28,plain,(
% 0.15/0.38 spl2_2 <=> ($true = vAPP($i,$o,cB,sK0))),
% 0.15/0.38 introduced(avatar_definition,[new_symbols(naming,[spl2_2])])).
% 0.15/0.38 thf(f93,plain,(
% 0.15/0.38 ($true = vAPP($i,$o,cB,sK0)) | ~spl2_5),
% 0.15/0.38 inference(trivial_inequality_removal,[],[f92])).
% 0.15/0.38 thf(f92,plain,(
% 0.15/0.38 ($true != $true) | ($true = vAPP($i,$o,cB,sK0)) | ~spl2_5),
% 0.15/0.38 inference(superposition,[],[f17,f44])).
% 0.15/0.38 thf(f44,plain,(
% 0.15/0.38 ($true = vAPP($i,$o,cA,sK0)) | ~spl2_5),
% 0.15/0.38 inference(avatar_component_clause,[],[f42])).
% 0.15/0.38 thf(f42,plain,(
% 0.15/0.38 spl2_5 <=> ($true = vAPP($i,$o,cA,sK0))),
% 0.15/0.38 introduced(avatar_definition,[new_symbols(naming,[spl2_5])])).
% 0.15/0.38 thf(f17,plain,(
% 0.15/0.38 ( ! [X0 : $i] : ((vAPP($i,$o,cA,X0) != $true) | (vAPP($i,$o,cB,X0) = $true)) )),
% 0.15/0.38 inference(cnf_transformation,[],[f12])).
% 0.15/0.38 thf(f12,plain,(
% 0.15/0.38 (cG != $true) & ! [X0] : ((vAPP($i,$o,cB,X0) = $true) | (vAPP($i,$o,cA,X0) != $true)) & ((cG = $true) | (($true != vAPP($i,$o,cB,sK0)) & ($true = vAPP($i,$o,cA,sK0))) | (cG = $true) | (($true != vAPP($i,$o,cB,sK1)) & ($true = vAPP($i,$o,cA,sK1))))),
% 0.15/0.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f9,f11,f10])).
% 0.15/0.38 thf(f10,plain,(
% 0.15/0.38 ? [X1] : (($true != vAPP($i,$o,cB,X1)) & ($true = vAPP($i,$o,cA,X1))) => (($true != vAPP($i,$o,cB,sK0)) & ($true = vAPP($i,$o,cA,sK0)))),
% 0.15/0.38 introduced(choice_axiom,[])).
% 0.15/0.38 thf(f11,plain,(
% 0.15/0.38 ? [X2] : (($true != vAPP($i,$o,cB,X2)) & ($true = vAPP($i,$o,cA,X2))) => (($true != vAPP($i,$o,cB,sK1)) & ($true = vAPP($i,$o,cA,sK1)))),
% 0.15/0.38 introduced(choice_axiom,[])).
% 0.15/0.38 thf(f9,plain,(
% 0.15/0.38 (cG != $true) & ! [X0] : ((vAPP($i,$o,cB,X0) = $true) | (vAPP($i,$o,cA,X0) != $true)) & ((cG = $true) | ? [X1] : (($true != vAPP($i,$o,cB,X1)) & ($true = vAPP($i,$o,cA,X1))) | (cG = $true) | ? [X2] : (($true != vAPP($i,$o,cB,X2)) & ($true = vAPP($i,$o,cA,X2))))),
% 0.15/0.38 inference(rectify,[],[f8])).
% 0.15/0.38 thf(f8,plain,(
% 0.15/0.38 (cG != $true) & ! [X2] : (($true = vAPP($i,$o,cB,X2)) | ($true != vAPP($i,$o,cA,X2))) & ((cG = $true) | ? [X0] : ((vAPP($i,$o,cB,X0) != $true) & (vAPP($i,$o,cA,X0) = $true)) | (cG = $true) | ? [X1] : (($true != vAPP($i,$o,cB,X1)) & ($true = vAPP($i,$o,cA,X1))))),
% 0.15/0.38 inference(flattening,[],[f7])).
% 0.15/0.38 thf(f7,plain,(
% 0.15/0.38 ((cG != $true) & ! [X2] : (($true = vAPP($i,$o,cB,X2)) | ($true != vAPP($i,$o,cA,X2)))) & (((cG = $true) | ? [X0] : ((vAPP($i,$o,cB,X0) != $true) & (vAPP($i,$o,cA,X0) = $true))) | ((cG = $true) | ? [X1] : (($true != vAPP($i,$o,cB,X1)) & ($true = vAPP($i,$o,cA,X1)))))),
% 0.15/0.38 inference(ennf_transformation,[],[f6])).
% 0.15/0.38 thf(f6,plain,(
% 0.15/0.38 ~(((! [X0] : ((vAPP($i,$o,cA,X0) = $true) => (vAPP($i,$o,cB,X0) = $true)) => (cG = $true)) | (! [X1] : (($true = vAPP($i,$o,cA,X1)) => ($true = vAPP($i,$o,cB,X1))) => (cG = $true))) => (! [X2] : (($true = vAPP($i,$o,cA,X2)) => ($true = vAPP($i,$o,cB,X2))) => (cG = $true)))),
% 0.15/0.38 inference(fool_elimination,[],[f5])).
% 0.15/0.38 thf(f5,plain,(
% 0.15/0.38 ~(((! [X0] : (vAPP($i,$o,cA,X0) => vAPP($i,$o,cB,X0)) => cG) | (! [X1] : (vAPP($i,$o,cA,X1) => vAPP($i,$o,cB,X1)) => cG)) => (! [X2] : (vAPP($i,$o,cA,X2) => vAPP($i,$o,cB,X2)) => cG))),
% 0.15/0.38 inference(rectify,[],[f2])).
% 0.15/0.38 thf(f2,negated_conjecture,(
% 0.15/0.38 ~(((! [X0] : (vAPP($i,$o,cA,X0) => vAPP($i,$o,cB,X0)) => cG) | (! [X0] : (vAPP($i,$o,cA,X0) => vAPP($i,$o,cB,X0)) => cG)) => (! [X0] : (vAPP($i,$o,cA,X0) => vAPP($i,$o,cB,X0)) => cG))),
% 0.15/0.38 inference(negated_conjecture,[],[f1])).
% 0.15/0.38 thf(f1,conjecture,(
% 0.15/0.38 ((! [X0] : (vAPP($i,$o,cA,X0) => vAPP($i,$o,cB,X0)) => cG) | (! [X0] : (vAPP($i,$o,cA,X0) => vAPP($i,$o,cB,X0)) => cG)) => (! [X0] : (vAPP($i,$o,cA,X0) => vAPP($i,$o,cB,X0)) => cG)),
% 0.15/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cDUAL_EG2_pme)).
% 0.15/0.38 thf(f89,plain,(
% 0.15/0.38 spl2_1 | ~spl2_4),
% 0.15/0.38 inference(avatar_split_clause,[],[f86,f37,f24])).
% 0.15/0.38 thf(f24,plain,(
% 0.15/0.38 spl2_1 <=> ($true = vAPP($i,$o,cB,sK1))),
% 0.15/0.38 introduced(avatar_definition,[new_symbols(naming,[spl2_1])])).
% 0.15/0.38 thf(f37,plain,(
% 0.15/0.38 spl2_4 <=> ($true = vAPP($i,$o,cA,sK1))),
% 0.15/0.38 introduced(avatar_definition,[new_symbols(naming,[spl2_4])])).
% 0.15/0.38 thf(f86,plain,(
% 0.15/0.38 ($true = vAPP($i,$o,cB,sK1)) | ~spl2_4),
% 0.15/0.38 inference(trivial_inequality_removal,[],[f83])).
% 0.15/0.38 thf(f83,plain,(
% 0.15/0.38 ($true != $true) | ($true = vAPP($i,$o,cB,sK1)) | ~spl2_4),
% 0.15/0.38 inference(superposition,[],[f17,f39])).
% 0.15/0.38 thf(f39,plain,(
% 0.15/0.38 ($true = vAPP($i,$o,cA,sK1)) | ~spl2_4),
% 0.15/0.38 inference(avatar_component_clause,[],[f37])).
% 0.15/0.38 thf(f47,plain,(
% 0.15/0.38 ~spl2_3),
% 0.15/0.38 inference(avatar_split_clause,[],[f18,f32])).
% 0.15/0.38 thf(f32,plain,(
% 0.15/0.38 spl2_3 <=> (cG = $true)),
% 0.15/0.38 introduced(avatar_definition,[new_symbols(naming,[spl2_3])])).
% 0.15/0.38 thf(f18,plain,(
% 0.15/0.38 (cG != $true)),
% 0.15/0.38 inference(cnf_transformation,[],[f12])).
% 0.15/0.38 thf(f46,plain,(
% 0.15/0.38 spl2_4 | spl2_5 | spl2_3),
% 0.15/0.38 inference(avatar_split_clause,[],[f19,f32,f42,f37])).
% 0.15/0.38 thf(f19,plain,(
% 0.15/0.38 (cG = $true) | ($true = vAPP($i,$o,cA,sK0)) | ($true = vAPP($i,$o,cA,sK1))),
% 0.15/0.38 inference(duplicate_literal_removal,[],[f13])).
% 0.15/0.38 thf(f13,plain,(
% 0.15/0.38 (cG = $true) | ($true = vAPP($i,$o,cA,sK0)) | (cG = $true) | ($true = vAPP($i,$o,cA,sK1))),
% 0.15/0.38 inference(cnf_transformation,[],[f12])).
% 0.15/0.38 thf(f45,plain,(
% 0.15/0.38 ~spl2_1 | spl2_5 | spl2_3),
% 0.15/0.38 inference(avatar_split_clause,[],[f20,f32,f42,f24])).
% 0.15/0.38 thf(f20,plain,(
% 0.15/0.38 (cG = $true) | ($true = vAPP($i,$o,cA,sK0)) | ($true != vAPP($i,$o,cB,sK1))),
% 0.15/0.38 inference(duplicate_literal_removal,[],[f14])).
% 0.15/0.38 thf(f14,plain,(
% 0.15/0.38 (cG = $true) | ($true = vAPP($i,$o,cA,sK0)) | (cG = $true) | ($true != vAPP($i,$o,cB,sK1))),
% 0.15/0.38 inference(cnf_transformation,[],[f12])).
% 0.15/0.38 thf(f40,plain,(
% 0.15/0.38 spl2_4 | ~spl2_2 | spl2_3),
% 0.15/0.38 inference(avatar_split_clause,[],[f21,f32,f28,f37])).
% 0.15/0.38 thf(f21,plain,(
% 0.15/0.38 (cG = $true) | ($true != vAPP($i,$o,cB,sK0)) | ($true = vAPP($i,$o,cA,sK1))),
% 0.15/0.38 inference(duplicate_literal_removal,[],[f15])).
% 0.15/0.38 thf(f15,plain,(
% 0.15/0.38 (cG = $true) | ($true != vAPP($i,$o,cB,sK0)) | (cG = $true) | ($true = vAPP($i,$o,cA,sK1))),
% 0.15/0.38 inference(cnf_transformation,[],[f12])).
% 0.15/0.38 thf(f35,plain,(
% 0.15/0.38 ~spl2_1 | ~spl2_2 | spl2_3),
% 0.15/0.38 inference(avatar_split_clause,[],[f22,f32,f28,f24])).
% 0.15/0.38 thf(f22,plain,(
% 0.15/0.38 (cG = $true) | ($true != vAPP($i,$o,cB,sK0)) | ($true != vAPP($i,$o,cB,sK1))),
% 0.15/0.38 inference(duplicate_literal_removal,[],[f16])).
% 0.15/0.38 thf(f16,plain,(
% 0.15/0.38 (cG = $true) | ($true != vAPP($i,$o,cB,sK0)) | (cG = $true) | ($true != vAPP($i,$o,cB,sK1))),
% 0.15/0.38 inference(cnf_transformation,[],[f12])).
% 0.15/0.38 % SZS output end Proof for theBenchmark
% 0.15/0.38 % (28680)------------------------------
% 0.15/0.38 % (28680)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (28680)Termination reason: Refutation
% 0.15/0.38
% 0.15/0.38 % (28680)Memory used [KB]: 772
% 0.15/0.38 % (28680)Time elapsed: 0.005 s
% 0.15/0.38 % (28680)Instructions burned: 6 (million)
% 0.15/0.38 % (28674)Success in time 0.018 s
%------------------------------------------------------------------------------