TSTP Solution File: SEV416^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEV416^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n020.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 09:45:09 EDT 2024
% Result : Theorem 0.13s 0.36s
% Output : Refutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SEV416^5 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n020.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 : Fri May 3 12:03:46 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % (28143)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (28146)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)
% 0.13/0.36 % (28145)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.36 % (28147)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.36 % (28148)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.36 % (28149)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.36 % (28150)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)
% 0.13/0.36 % (28146)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.13/0.36 % (28147)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.13/0.36 % Exception at run slice level
% 0.13/0.36 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.36 % Exception at run slice level
% 0.13/0.36 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.36 % Exception at run slice level
% 0.13/0.36 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.36 % (28144)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.36 % Exception at run slice level% (28149)First to succeed.
% 0.13/0.36
% 0.13/0.36 % (28148)Also succeeded, but the first one will report.
% 0.13/0.36 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.36 % (28146)Also succeeded, but the first one will report.
% 0.13/0.36 % (28149)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-28143"
% 0.13/0.36 % (28149)Refutation found. Thanks to Tanya!
% 0.13/0.36 % SZS status Theorem for theBenchmark
% 0.13/0.36 % SZS output start Proof for theBenchmark
% 0.13/0.36 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.13/0.36 thf(func_def_0, type, cG: $o).
% 0.13/0.36 thf(func_def_1, type, cB: $i > $o).
% 0.13/0.36 thf(func_def_2, type, cA: $i > $o).
% 0.13/0.36 thf(func_def_6, type, sP0: $o).
% 0.13/0.36 thf(func_def_11, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
% 0.13/0.36 thf(func_def_12, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
% 0.13/0.36 thf(func_def_13, type, vAND: $o > $o > $o).
% 0.13/0.36 thf(func_def_14, type, vOR: $o > $o > $o).
% 0.13/0.36 thf(func_def_15, type, vIMP: $o > $o > $o).
% 0.13/0.36 thf(func_def_16, type, vNOT: $o > $o).
% 0.13/0.36 thf(func_def_17, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.13/0.36 thf(f135,plain,(
% 0.13/0.36 $false),
% 0.13/0.36 inference(avatar_sat_refutation,[],[f39,f44,f57,f62,f67,f68,f69,f119,f128,f134])).
% 0.13/0.36 thf(f134,plain,(
% 0.13/0.36 spl4_2 | ~spl4_3),
% 0.13/0.36 inference(avatar_contradiction_clause,[],[f133])).
% 0.13/0.36 thf(f133,plain,(
% 0.13/0.36 $false | (spl4_2 | ~spl4_3)),
% 0.13/0.36 inference(subsumption_resolution,[],[f132,f38])).
% 0.13/0.36 thf(f38,plain,(
% 0.13/0.36 ($true != vAPP($i,$o,cB,sK1)) | spl4_2),
% 0.13/0.36 inference(avatar_component_clause,[],[f36])).
% 0.13/0.36 thf(f36,plain,(
% 0.13/0.36 spl4_2 <=> ($true = vAPP($i,$o,cB,sK1))),
% 0.13/0.36 introduced(avatar_definition,[new_symbols(naming,[spl4_2])])).
% 0.13/0.36 thf(f132,plain,(
% 0.13/0.36 ($true = vAPP($i,$o,cB,sK1)) | ~spl4_3),
% 0.13/0.36 inference(trivial_inequality_removal,[],[f131])).
% 0.13/0.36 thf(f131,plain,(
% 0.13/0.36 ($true != $true) | ($true = vAPP($i,$o,cB,sK1)) | ~spl4_3),
% 0.13/0.36 inference(superposition,[],[f25,f43])).
% 0.13/0.36 thf(f43,plain,(
% 0.13/0.36 ($true = vAPP($i,$o,cA,sK1)) | ~spl4_3),
% 0.13/0.36 inference(avatar_component_clause,[],[f41])).
% 0.13/0.36 thf(f41,plain,(
% 0.13/0.36 spl4_3 <=> ($true = vAPP($i,$o,cA,sK1))),
% 0.13/0.36 introduced(avatar_definition,[new_symbols(naming,[spl4_3])])).
% 0.13/0.36 thf(f25,plain,(
% 0.13/0.36 ( ! [X0 : $i] : ((vAPP($i,$o,cA,X0) != $true) | (vAPP($i,$o,cB,X0) = $true)) )),
% 0.13/0.36 inference(cnf_transformation,[],[f18])).
% 0.13/0.36 thf(f18,plain,(
% 0.13/0.36 (cG != $true) & ! [X0] : ((vAPP($i,$o,cB,X0) = $true) | (vAPP($i,$o,cA,X0) != $true)) & ((cG = $true) | (($true != vAPP($i,$o,cB,sK2)) & ($true = vAPP($i,$o,cA,sK2))) | (cG = $true) | (($true != vAPP($i,$o,cB,sK3)) & ($true = vAPP($i,$o,cA,sK3))) | ($true = sP0))),
% 0.13/0.36 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f15,f17,f16])).
% 0.13/0.36 thf(f16,plain,(
% 0.13/0.36 ? [X1] : (($true != vAPP($i,$o,cB,X1)) & ($true = vAPP($i,$o,cA,X1))) => (($true != vAPP($i,$o,cB,sK2)) & ($true = vAPP($i,$o,cA,sK2)))),
% 0.13/0.36 introduced(choice_axiom,[])).
% 0.13/0.36 thf(f17,plain,(
% 0.13/0.36 ? [X2] : (($true != vAPP($i,$o,cB,X2)) & ($true = vAPP($i,$o,cA,X2))) => (($true != vAPP($i,$o,cB,sK3)) & ($true = vAPP($i,$o,cA,sK3)))),
% 0.13/0.36 introduced(choice_axiom,[])).
% 0.13/0.36 thf(f15,plain,(
% 0.13/0.36 (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,$o,cA,X2))) | ($true = sP0))),
% 0.13/0.36 inference(rectify,[],[f10])).
% 0.13/0.36 thf(f10,plain,(
% 0.13/0.36 (cG != $true) & ! [X3] : (($true = vAPP($i,$o,cB,X3)) | ($true != vAPP($i,$o,cA,X3))) & ((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,$o,cA,X1))) | ($true = sP0))),
% 0.13/0.36 inference(definition_folding,[],[f8,f9])).
% 0.13/0.36 thf(f9,plain,(
% 0.13/0.36 ? [X2] : (($true != vAPP($i,$o,cB,X2)) & ($true = vAPP($i,$o,cA,X2))) | ~($true = sP0)),
% 0.13/0.36 introduced(predicate_definition_introduction,[new_symbols(naming,[=])])).
% 0.13/0.36 thf(f8,plain,(
% 0.13/0.36 (cG != $true) & ! [X3] : (($true = vAPP($i,$o,cB,X3)) | ($true != vAPP($i,$o,cA,X3))) & ((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,$o,cA,X1))) | ? [X2] : (($true != vAPP($i,$o,cB,X2)) & ($true = vAPP($i,$o,cA,X2))))),
% 0.13/0.36 inference(flattening,[],[f7])).
% 0.13/0.36 thf(f7,plain,(
% 0.13/0.36 ((cG != $true) & ! [X3] : (($true = vAPP($i,$o,cB,X3)) | ($true != vAPP($i,$o,cA,X3)))) & (((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,$o,cA,X1))) | ? [X2] : (($true != vAPP($i,$o,cB,X2)) & ($true = vAPP($i,$o,cA,X2))))))),
% 0.13/0.36 inference(ennf_transformation,[],[f6])).
% 0.13/0.36 thf(f6,plain,(
% 0.13/0.36 ~(((! [X0] : ((vAPP($i,$o,cA,X0) = $true) => (vAPP($i,$o,cB,X0) = $true)) => (cG = $true)) | ((! [X1] : (($true = vAPP($i,$o,cA,X1)) => ($true = vAPP($i,$o,cB,X1))) & ! [X2] : (($true = vAPP($i,$o,cA,X2)) => ($true = vAPP($i,$o,cB,X2)))) => (cG = $true))) => (! [X3] : (($true = vAPP($i,$o,cA,X3)) => ($true = vAPP($i,$o,cB,X3))) => (cG = $true)))),
% 0.13/0.36 inference(fool_elimination,[],[f5])).
% 0.13/0.36 thf(f5,plain,(
% 0.13/0.36 ~(((! [X0] : (vAPP($i,$o,cA,X0) => vAPP($i,$o,cB,X0)) => cG) | ((! [X1] : (vAPP($i,$o,cA,X1) => vAPP($i,$o,cB,X1)) & ! [X2] : (vAPP($i,$o,cA,X2) => vAPP($i,$o,cB,X2))) => cG)) => (! [X3] : (vAPP($i,$o,cA,X3) => vAPP($i,$o,cB,X3)) => cG))),
% 0.13/0.36 inference(rectify,[],[f2])).
% 0.13/0.36 thf(f2,negated_conjecture,(
% 0.13/0.36 ~(((! [X0] : (vAPP($i,$o,cA,X0) => vAPP($i,$o,cB,X0)) => cG) | ((! [X0] : (vAPP($i,$o,cA,X0) => vAPP($i,$o,cB,X0)) & ! [X0] : (vAPP($i,$o,cA,X0) => vAPP($i,$o,cB,X0))) => cG)) => (! [X0] : (vAPP($i,$o,cA,X0) => vAPP($i,$o,cB,X0)) => cG))),
% 0.13/0.36 inference(negated_conjecture,[],[f1])).
% 0.13/0.36 thf(f1,conjecture,(
% 0.13/0.36 ((! [X0] : (vAPP($i,$o,cA,X0) => vAPP($i,$o,cB,X0)) => cG) | ((! [X0] : (vAPP($i,$o,cA,X0) => vAPP($i,$o,cB,X0)) & ! [X0] : (vAPP($i,$o,cA,X0) => vAPP($i,$o,cB,X0))) => cG)) => (! [X0] : (vAPP($i,$o,cA,X0) => vAPP($i,$o,cB,X0)) => cG)),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cDUAL_EG3_pme)).
% 0.13/0.36 thf(f128,plain,(
% 0.13/0.36 spl4_5 | ~spl4_8),
% 0.13/0.36 inference(avatar_split_clause,[],[f125,f64,f50])).
% 0.13/0.36 thf(f50,plain,(
% 0.13/0.36 spl4_5 <=> ($true = vAPP($i,$o,cB,sK2))),
% 0.13/0.36 introduced(avatar_definition,[new_symbols(naming,[spl4_5])])).
% 0.13/0.36 thf(f64,plain,(
% 0.13/0.36 spl4_8 <=> ($true = vAPP($i,$o,cA,sK2))),
% 0.13/0.36 introduced(avatar_definition,[new_symbols(naming,[spl4_8])])).
% 0.13/0.36 thf(f125,plain,(
% 0.13/0.36 ($true = vAPP($i,$o,cB,sK2)) | ~spl4_8),
% 0.13/0.36 inference(trivial_inequality_removal,[],[f124])).
% 0.13/0.36 thf(f124,plain,(
% 0.13/0.36 ($true != $true) | ($true = vAPP($i,$o,cB,sK2)) | ~spl4_8),
% 0.13/0.36 inference(superposition,[],[f25,f66])).
% 0.13/0.36 thf(f66,plain,(
% 0.13/0.36 ($true = vAPP($i,$o,cA,sK2)) | ~spl4_8),
% 0.13/0.36 inference(avatar_component_clause,[],[f64])).
% 0.13/0.36 thf(f119,plain,(
% 0.13/0.36 spl4_4 | ~spl4_7),
% 0.13/0.36 inference(avatar_contradiction_clause,[],[f118])).
% 0.13/0.36 thf(f118,plain,(
% 0.13/0.36 $false | (spl4_4 | ~spl4_7)),
% 0.13/0.36 inference(trivial_inequality_removal,[],[f117])).
% 0.13/0.36 thf(f117,plain,(
% 0.13/0.36 ($true = $false) | (spl4_4 | ~spl4_7)),
% 0.13/0.36 inference(forward_demodulation,[],[f116,f103])).
% 0.13/0.36 thf(f103,plain,(
% 0.13/0.36 ($false = vAPP($i,$o,cB,sK3)) | spl4_4),
% 0.13/0.36 inference(trivial_inequality_removal,[],[f102])).
% 0.13/0.36 thf(f102,plain,(
% 0.13/0.36 ($true != $true) | ($false = vAPP($i,$o,cB,sK3)) | spl4_4),
% 0.13/0.36 inference(superposition,[],[f48,f4])).
% 0.13/0.36 thf(f4,plain,(
% 0.13/0.36 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.13/0.36 introduced(fool_axiom,[])).
% 0.13/0.36 thf(f48,plain,(
% 0.13/0.36 ($true != vAPP($i,$o,cB,sK3)) | spl4_4),
% 0.13/0.36 inference(avatar_component_clause,[],[f46])).
% 0.13/0.36 thf(f46,plain,(
% 0.13/0.36 spl4_4 <=> ($true = vAPP($i,$o,cB,sK3))),
% 0.13/0.36 introduced(avatar_definition,[new_symbols(naming,[spl4_4])])).
% 0.13/0.36 thf(f116,plain,(
% 0.13/0.36 ($true = vAPP($i,$o,cB,sK3)) | ~spl4_7),
% 0.13/0.36 inference(trivial_inequality_removal,[],[f113])).
% 0.13/0.36 thf(f113,plain,(
% 0.13/0.36 ($true != $true) | ($true = vAPP($i,$o,cB,sK3)) | ~spl4_7),
% 0.13/0.36 inference(superposition,[],[f25,f61])).
% 0.13/0.36 thf(f61,plain,(
% 0.13/0.36 ($true = vAPP($i,$o,cA,sK3)) | ~spl4_7),
% 0.13/0.36 inference(avatar_component_clause,[],[f59])).
% 0.13/0.36 thf(f59,plain,(
% 0.13/0.36 spl4_7 <=> ($true = vAPP($i,$o,cA,sK3))),
% 0.13/0.36 introduced(avatar_definition,[new_symbols(naming,[spl4_7])])).
% 0.13/0.36 thf(f69,plain,(
% 0.13/0.36 ~spl4_6),
% 0.13/0.36 inference(avatar_split_clause,[],[f26,f54])).
% 0.13/0.36 thf(f54,plain,(
% 0.13/0.36 spl4_6 <=> (cG = $true)),
% 0.13/0.36 introduced(avatar_definition,[new_symbols(naming,[spl4_6])])).
% 0.13/0.36 thf(f26,plain,(
% 0.13/0.36 (cG != $true)),
% 0.13/0.36 inference(cnf_transformation,[],[f18])).
% 0.13/0.36 thf(f68,plain,(
% 0.13/0.36 spl4_1 | spl4_7 | spl4_8 | spl4_6),
% 0.13/0.36 inference(avatar_split_clause,[],[f27,f54,f64,f59,f32])).
% 0.13/0.36 thf(f32,plain,(
% 0.13/0.36 spl4_1 <=> ($true = sP0)),
% 0.13/0.36 introduced(avatar_definition,[new_symbols(naming,[spl4_1])])).
% 0.13/0.36 thf(f27,plain,(
% 0.13/0.36 (cG = $true) | ($true = vAPP($i,$o,cA,sK2)) | ($true = vAPP($i,$o,cA,sK3)) | ($true = sP0)),
% 0.13/0.36 inference(duplicate_literal_removal,[],[f21])).
% 0.13/0.36 thf(f21,plain,(
% 0.13/0.36 (cG = $true) | ($true = vAPP($i,$o,cA,sK2)) | (cG = $true) | ($true = vAPP($i,$o,cA,sK3)) | ($true = sP0)),
% 0.13/0.36 inference(cnf_transformation,[],[f18])).
% 0.13/0.36 thf(f67,plain,(
% 0.13/0.36 spl4_1 | ~spl4_4 | spl4_8 | spl4_6),
% 0.13/0.36 inference(avatar_split_clause,[],[f28,f54,f64,f46,f32])).
% 0.13/0.36 thf(f28,plain,(
% 0.13/0.36 (cG = $true) | ($true = vAPP($i,$o,cA,sK2)) | ($true != vAPP($i,$o,cB,sK3)) | ($true = sP0)),
% 0.13/0.36 inference(duplicate_literal_removal,[],[f22])).
% 0.13/0.36 thf(f22,plain,(
% 0.13/0.36 (cG = $true) | ($true = vAPP($i,$o,cA,sK2)) | (cG = $true) | ($true != vAPP($i,$o,cB,sK3)) | ($true = sP0)),
% 0.13/0.36 inference(cnf_transformation,[],[f18])).
% 0.13/0.36 thf(f62,plain,(
% 0.13/0.36 spl4_1 | spl4_7 | ~spl4_5 | spl4_6),
% 0.13/0.36 inference(avatar_split_clause,[],[f29,f54,f50,f59,f32])).
% 0.13/0.36 thf(f29,plain,(
% 0.13/0.36 (cG = $true) | ($true != vAPP($i,$o,cB,sK2)) | ($true = vAPP($i,$o,cA,sK3)) | ($true = sP0)),
% 0.13/0.36 inference(duplicate_literal_removal,[],[f23])).
% 0.13/0.36 thf(f23,plain,(
% 0.13/0.36 (cG = $true) | ($true != vAPP($i,$o,cB,sK2)) | (cG = $true) | ($true = vAPP($i,$o,cA,sK3)) | ($true = sP0)),
% 0.13/0.36 inference(cnf_transformation,[],[f18])).
% 0.13/0.36 thf(f57,plain,(
% 0.13/0.36 spl4_1 | ~spl4_4 | ~spl4_5 | spl4_6),
% 0.13/0.36 inference(avatar_split_clause,[],[f30,f54,f50,f46,f32])).
% 0.13/0.36 thf(f30,plain,(
% 0.13/0.36 (cG = $true) | ($true != vAPP($i,$o,cB,sK2)) | ($true != vAPP($i,$o,cB,sK3)) | ($true = sP0)),
% 0.13/0.36 inference(duplicate_literal_removal,[],[f24])).
% 0.13/0.36 thf(f24,plain,(
% 0.13/0.36 (cG = $true) | ($true != vAPP($i,$o,cB,sK2)) | (cG = $true) | ($true != vAPP($i,$o,cB,sK3)) | ($true = sP0)),
% 0.13/0.36 inference(cnf_transformation,[],[f18])).
% 0.13/0.36 thf(f44,plain,(
% 0.13/0.36 ~spl4_1 | spl4_3),
% 0.13/0.36 inference(avatar_split_clause,[],[f19,f41,f32])).
% 0.13/0.36 thf(f19,plain,(
% 0.13/0.36 ($true = vAPP($i,$o,cA,sK1)) | ($true != sP0)),
% 0.13/0.36 inference(cnf_transformation,[],[f14])).
% 0.13/0.36 thf(f14,plain,(
% 0.13/0.36 (($true != vAPP($i,$o,cB,sK1)) & ($true = vAPP($i,$o,cA,sK1))) | ($true != sP0)),
% 0.13/0.36 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f12,f13])).
% 0.13/0.36 thf(f13,plain,(
% 0.13/0.36 ? [X0] : ((vAPP($i,$o,cB,X0) != $true) & (vAPP($i,$o,cA,X0) = $true)) => (($true != vAPP($i,$o,cB,sK1)) & ($true = vAPP($i,$o,cA,sK1)))),
% 0.13/0.36 introduced(choice_axiom,[])).
% 0.13/0.36 thf(f12,plain,(
% 0.13/0.36 ? [X0] : ((vAPP($i,$o,cB,X0) != $true) & (vAPP($i,$o,cA,X0) = $true)) | ($true != sP0)),
% 0.13/0.36 inference(rectify,[],[f11])).
% 0.13/0.36 thf(f11,plain,(
% 0.13/0.36 ? [X2] : (($true != vAPP($i,$o,cB,X2)) & ($true = vAPP($i,$o,cA,X2))) | ($true != sP0)),
% 0.13/0.36 inference(nnf_transformation,[],[f9])).
% 0.13/0.36 thf(f39,plain,(
% 0.13/0.36 ~spl4_1 | ~spl4_2),
% 0.13/0.36 inference(avatar_split_clause,[],[f20,f36,f32])).
% 0.13/0.36 thf(f20,plain,(
% 0.13/0.36 ($true != vAPP($i,$o,cB,sK1)) | ($true != sP0)),
% 0.13/0.36 inference(cnf_transformation,[],[f14])).
% 0.13/0.36 % SZS output end Proof for theBenchmark
% 0.13/0.36 % (28149)------------------------------
% 0.13/0.36 % (28149)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.36 % (28149)Termination reason: Refutation
% 0.13/0.36
% 0.13/0.36 % (28149)Memory used [KB]: 779
% 0.13/0.36 % (28149)Time elapsed: 0.006 s
% 0.13/0.36 % (28149)Instructions burned: 8 (million)
% 0.13/0.36 % (28143)Success in time 0.019 s
%------------------------------------------------------------------------------