TSTP Solution File: SYN058^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN058^5 : 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 : n028.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 08:33:56 EDT 2024
% Result : Theorem 0.16s 0.38s
% Output : Refutation 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN058^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n028.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Mon May 20 15:47:08 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 % (21423)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38 % (21426)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.38 % (21427)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.38 % (21430)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.16/0.38 % (21428)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)
% 0.16/0.38 % (21431)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.16/0.38 % (21432)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)
% 0.16/0.38 % (21429)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.16/0.38 % (21428)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.16/0.38 % Exception at run slice level
% 0.16/0.38 User error: % Exception at run slice levelFinite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.16/0.38
% 0.16/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.16/0.38 % (21429)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.16/0.38 % Exception at run slice level
% 0.16/0.38 % Exception at run slice levelUser error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.16/0.38
% 0.16/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.16/0.38 % (21430)First to succeed.
% 0.16/0.38 % (21428)Also succeeded, but the first one will report.
% 0.16/0.38 % (21431)Also succeeded, but the first one will report.
% 0.16/0.38 % (21430)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-21423"
% 0.16/0.38 % (21430)Refutation found. Thanks to Tanya!
% 0.16/0.38 % SZS status Theorem for theBenchmark
% 0.16/0.38 % SZS output start Proof for theBenchmark
% 0.16/0.38 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.16/0.38 thf(func_def_0, type, cG: $i > $o).
% 0.16/0.38 thf(func_def_1, type, cF: $i > $o).
% 0.16/0.38 thf(func_def_2, type, cP: $i > $o).
% 0.16/0.38 thf(func_def_3, type, cS: $i > $o).
% 0.16/0.38 thf(func_def_4, type, cQ: $i > $o).
% 0.16/0.38 thf(func_def_5, type, cR: $i > $o).
% 0.16/0.38 thf(func_def_9, type, sP0: $o).
% 0.16/0.38 thf(func_def_13, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
% 0.16/0.38 thf(func_def_14, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
% 0.16/0.38 thf(func_def_15, type, vAND: $o > $o > $o).
% 0.16/0.38 thf(func_def_16, type, vOR: $o > $o > $o).
% 0.16/0.38 thf(func_def_17, type, vIMP: $o > $o > $o).
% 0.16/0.38 thf(func_def_18, type, vNOT: $o > $o).
% 0.16/0.38 thf(func_def_19, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.16/0.38 thf(f85,plain,(
% 0.16/0.38 $false),
% 0.16/0.38 inference(trivial_inequality_removal,[],[f82])).
% 0.16/0.38 thf(f82,plain,(
% 0.16/0.38 ($true != $true)),
% 0.16/0.38 inference(superposition,[],[f81,f74])).
% 0.16/0.38 thf(f74,plain,(
% 0.16/0.38 ($true = vAPP($i,$o,cS,sK3))),
% 0.16/0.38 inference(trivial_inequality_removal,[],[f69])).
% 0.16/0.38 thf(f69,plain,(
% 0.16/0.38 ($true = $false) | ($true = vAPP($i,$o,cS,sK3))),
% 0.16/0.38 inference(backward_demodulation,[],[f23,f67])).
% 0.16/0.38 thf(f67,plain,(
% 0.16/0.38 ($false = sP0)),
% 0.16/0.38 inference(trivial_inequality_removal,[],[f66])).
% 0.16/0.38 thf(f66,plain,(
% 0.16/0.38 ($true != $true) | ($false = sP0)),
% 0.16/0.38 inference(superposition,[],[f65,f4])).
% 0.16/0.38 thf(f4,plain,(
% 0.16/0.38 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.16/0.38 introduced(fool_axiom,[])).
% 0.16/0.38 thf(f65,plain,(
% 0.16/0.38 ($true != sP0)),
% 0.16/0.38 inference(subsumption_resolution,[],[f19,f64])).
% 0.16/0.38 thf(f64,plain,(
% 0.16/0.38 ( ! [X0 : $i] : ((vAPP($i,$o,cQ,X0) = $true)) )),
% 0.16/0.38 inference(trivial_inequality_removal,[],[f61])).
% 0.16/0.38 thf(f61,plain,(
% 0.16/0.38 ( ! [X0 : $i] : (($true != $true) | (vAPP($i,$o,cQ,X0) = $true)) )),
% 0.16/0.38 inference(superposition,[],[f21,f25])).
% 0.16/0.38 thf(f25,plain,(
% 0.16/0.38 ($true = vAPP($i,$o,cP,sK2))),
% 0.16/0.38 inference(cnf_transformation,[],[f18])).
% 0.16/0.38 thf(f18,plain,(
% 0.16/0.38 (($true != vAPP($i,$o,cG,sK2)) & ($true = vAPP($i,$o,cF,sK2)) & ($true = vAPP($i,$o,cP,sK2))) & (! [X1] : (($true = vAPP($i,$o,cG,X1)) | ($true != vAPP($i,$o,cF,X1))) | ! [X2] : ($true != vAPP($i,$o,cS,X2))) & ((($true = vAPP($i,$o,cS,sK3)) & ($true = vAPP($i,$o,cQ,sK3))) | ($true = sP0)) & ! [X4] : (! [X5] : ($true = vAPP($i,$o,cQ,X5)) | ($true != vAPP($i,$o,cP,X4)))),
% 0.16/0.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f15,f17,f16])).
% 0.16/0.38 thf(f16,plain,(
% 0.16/0.38 ? [X0] : ((vAPP($i,$o,cG,X0) != $true) & (vAPP($i,$o,cF,X0) = $true) & (vAPP($i,$o,cP,X0) = $true)) => (($true != vAPP($i,$o,cG,sK2)) & ($true = vAPP($i,$o,cF,sK2)) & ($true = vAPP($i,$o,cP,sK2)))),
% 0.16/0.38 introduced(choice_axiom,[])).
% 0.16/0.38 thf(f17,plain,(
% 0.16/0.38 ? [X3] : (($true = vAPP($i,$o,cS,X3)) & ($true = vAPP($i,$o,cQ,X3))) => (($true = vAPP($i,$o,cS,sK3)) & ($true = vAPP($i,$o,cQ,sK3)))),
% 0.16/0.38 introduced(choice_axiom,[])).
% 0.16/0.38 thf(f15,plain,(
% 0.16/0.38 ? [X0] : ((vAPP($i,$o,cG,X0) != $true) & (vAPP($i,$o,cF,X0) = $true) & (vAPP($i,$o,cP,X0) = $true)) & (! [X1] : (($true = vAPP($i,$o,cG,X1)) | ($true != vAPP($i,$o,cF,X1))) | ! [X2] : ($true != vAPP($i,$o,cS,X2))) & (? [X3] : (($true = vAPP($i,$o,cS,X3)) & ($true = vAPP($i,$o,cQ,X3))) | ($true = sP0)) & ! [X4] : (! [X5] : ($true = vAPP($i,$o,cQ,X5)) | ($true != vAPP($i,$o,cP,X4)))),
% 0.16/0.38 inference(rectify,[],[f10])).
% 0.16/0.38 thf(f10,plain,(
% 0.16/0.38 ? [X6] : (($true != vAPP($i,$o,cG,X6)) & ($true = vAPP($i,$o,cF,X6)) & ($true = vAPP($i,$o,cP,X6))) & (! [X1] : (($true = vAPP($i,$o,cG,X1)) | ($true != vAPP($i,$o,cF,X1))) | ! [X0] : (vAPP($i,$o,cS,X0) != $true)) & (? [X3] : (($true = vAPP($i,$o,cS,X3)) & ($true = vAPP($i,$o,cQ,X3))) | ($true = sP0)) & ! [X4] : (! [X5] : ($true = vAPP($i,$o,cQ,X5)) | ($true != vAPP($i,$o,cP,X4)))),
% 0.16/0.38 inference(definition_folding,[],[f8,f9])).
% 0.16/0.38 thf(f9,plain,(
% 0.16/0.38 ? [X2] : (($true != vAPP($i,$o,cR,X2)) & ($true != vAPP($i,$o,cQ,X2))) | ~($true = sP0)),
% 0.16/0.38 introduced(predicate_definition_introduction,[new_symbols(naming,[=])])).
% 0.16/0.38 thf(f8,plain,(
% 0.16/0.38 ? [X6] : (($true != vAPP($i,$o,cG,X6)) & ($true = vAPP($i,$o,cF,X6)) & ($true = vAPP($i,$o,cP,X6))) & (! [X1] : (($true = vAPP($i,$o,cG,X1)) | ($true != vAPP($i,$o,cF,X1))) | ! [X0] : (vAPP($i,$o,cS,X0) != $true)) & (? [X3] : (($true = vAPP($i,$o,cS,X3)) & ($true = vAPP($i,$o,cQ,X3))) | ? [X2] : (($true != vAPP($i,$o,cR,X2)) & ($true != vAPP($i,$o,cQ,X2)))) & ! [X4] : (! [X5] : ($true = vAPP($i,$o,cQ,X5)) | ($true != vAPP($i,$o,cP,X4)))),
% 0.16/0.38 inference(flattening,[],[f7])).
% 0.16/0.38 thf(f7,plain,(
% 0.16/0.38 ? [X6] : (($true != vAPP($i,$o,cG,X6)) & (($true = vAPP($i,$o,cF,X6)) & ($true = vAPP($i,$o,cP,X6)))) & ((! [X1] : (($true = vAPP($i,$o,cG,X1)) | ($true != vAPP($i,$o,cF,X1))) | ! [X0] : (vAPP($i,$o,cS,X0) != $true)) & (? [X3] : (($true = vAPP($i,$o,cS,X3)) & ($true = vAPP($i,$o,cQ,X3))) | ? [X2] : (($true != vAPP($i,$o,cR,X2)) & ($true != vAPP($i,$o,cQ,X2)))) & ! [X4] : (! [X5] : ($true = vAPP($i,$o,cQ,X5)) | ($true != vAPP($i,$o,cP,X4))))),
% 0.16/0.38 inference(ennf_transformation,[],[f6])).
% 0.16/0.38 thf(f6,plain,(
% 0.16/0.38 ~(((? [X0] : (vAPP($i,$o,cS,X0) = $true) => ! [X1] : (($true = vAPP($i,$o,cF,X1)) => ($true = vAPP($i,$o,cG,X1)))) & (! [X2] : (($true = vAPP($i,$o,cR,X2)) | ($true = vAPP($i,$o,cQ,X2))) => ? [X3] : (($true = vAPP($i,$o,cS,X3)) & ($true = vAPP($i,$o,cQ,X3)))) & ! [X4] : (($true = vAPP($i,$o,cP,X4)) => ! [X5] : ($true = vAPP($i,$o,cQ,X5)))) => ! [X6] : ((($true = vAPP($i,$o,cF,X6)) & ($true = vAPP($i,$o,cP,X6))) => ($true = vAPP($i,$o,cG,X6))))),
% 0.16/0.38 inference(fool_elimination,[],[f5])).
% 0.16/0.38 thf(f5,plain,(
% 0.16/0.38 ~(((? [X0] : vAPP($i,$o,cS,X0) => ! [X1] : (vAPP($i,$o,cF,X1) => vAPP($i,$o,cG,X1))) & (! [X2] : (vAPP($i,$o,cR,X2) | vAPP($i,$o,cQ,X2)) => ? [X3] : (vAPP($i,$o,cS,X3) & vAPP($i,$o,cQ,X3))) & ! [X4] : (vAPP($i,$o,cP,X4) => ! [X5] : vAPP($i,$o,cQ,X5))) => ! [X6] : ((vAPP($i,$o,cF,X6) & vAPP($i,$o,cP,X6)) => vAPP($i,$o,cG,X6)))),
% 0.16/0.38 inference(rectify,[],[f2])).
% 0.16/0.38 thf(f2,negated_conjecture,(
% 0.16/0.38 ~(((? [X0] : vAPP($i,$o,cS,X0) => ! [X0] : (vAPP($i,$o,cF,X0) => vAPP($i,$o,cG,X0))) & (! [X0] : (vAPP($i,$o,cR,X0) | vAPP($i,$o,cQ,X0)) => ? [X0] : (vAPP($i,$o,cS,X0) & vAPP($i,$o,cQ,X0))) & ! [X0] : (vAPP($i,$o,cP,X0) => ! [X1] : vAPP($i,$o,cQ,X1))) => ! [X0] : ((vAPP($i,$o,cF,X0) & vAPP($i,$o,cP,X0)) => vAPP($i,$o,cG,X0)))),
% 0.16/0.38 inference(negated_conjecture,[],[f1])).
% 0.16/0.38 thf(f1,conjecture,(
% 0.16/0.38 ((? [X0] : vAPP($i,$o,cS,X0) => ! [X0] : (vAPP($i,$o,cF,X0) => vAPP($i,$o,cG,X0))) & (! [X0] : (vAPP($i,$o,cR,X0) | vAPP($i,$o,cQ,X0)) => ? [X0] : (vAPP($i,$o,cS,X0) & vAPP($i,$o,cQ,X0))) & ! [X0] : (vAPP($i,$o,cP,X0) => ! [X1] : vAPP($i,$o,cQ,X1))) => ! [X0] : ((vAPP($i,$o,cF,X0) & vAPP($i,$o,cP,X0)) => vAPP($i,$o,cG,X0))),
% 0.16/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cPELL28)).
% 0.16/0.38 thf(f21,plain,(
% 0.16/0.38 ( ! [X4 : $i,X5 : $i] : (($true != vAPP($i,$o,cP,X4)) | ($true = vAPP($i,$o,cQ,X5))) )),
% 0.16/0.38 inference(cnf_transformation,[],[f18])).
% 0.16/0.38 thf(f19,plain,(
% 0.16/0.38 ($true != vAPP($i,$o,cQ,sK1)) | ($true != sP0)),
% 0.16/0.38 inference(cnf_transformation,[],[f14])).
% 0.16/0.38 thf(f14,plain,(
% 0.16/0.38 (($true != vAPP($i,$o,cR,sK1)) & ($true != vAPP($i,$o,cQ,sK1))) | ($true != sP0)),
% 0.16/0.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f12,f13])).
% 0.16/0.38 thf(f13,plain,(
% 0.16/0.38 ? [X0] : ((vAPP($i,$o,cR,X0) != $true) & (vAPP($i,$o,cQ,X0) != $true)) => (($true != vAPP($i,$o,cR,sK1)) & ($true != vAPP($i,$o,cQ,sK1)))),
% 0.16/0.38 introduced(choice_axiom,[])).
% 0.16/0.38 thf(f12,plain,(
% 0.16/0.38 ? [X0] : ((vAPP($i,$o,cR,X0) != $true) & (vAPP($i,$o,cQ,X0) != $true)) | ($true != sP0)),
% 0.16/0.38 inference(rectify,[],[f11])).
% 0.16/0.38 thf(f11,plain,(
% 0.16/0.38 ? [X2] : (($true != vAPP($i,$o,cR,X2)) & ($true != vAPP($i,$o,cQ,X2))) | ($true != sP0)),
% 0.16/0.38 inference(nnf_transformation,[],[f9])).
% 0.16/0.38 thf(f23,plain,(
% 0.16/0.38 ($true = vAPP($i,$o,cS,sK3)) | ($true = sP0)),
% 0.16/0.38 inference(cnf_transformation,[],[f18])).
% 0.16/0.38 thf(f81,plain,(
% 0.16/0.38 ( ! [X0 : $i] : ((vAPP($i,$o,cS,X0) != $true)) )),
% 0.16/0.38 inference(trivial_inequality_removal,[],[f80])).
% 0.16/0.38 thf(f80,plain,(
% 0.16/0.38 ( ! [X0 : $i] : (($true = $false) | (vAPP($i,$o,cS,X0) != $true)) )),
% 0.16/0.38 inference(forward_demodulation,[],[f79,f39])).
% 0.16/0.38 thf(f39,plain,(
% 0.16/0.38 ($false = vAPP($i,$o,cG,sK2))),
% 0.16/0.38 inference(trivial_inequality_removal,[],[f37])).
% 0.16/0.38 thf(f37,plain,(
% 0.16/0.38 ($true != $true) | ($false = vAPP($i,$o,cG,sK2))),
% 0.16/0.38 inference(superposition,[],[f27,f4])).
% 0.16/0.38 thf(f27,plain,(
% 0.16/0.38 ($true != vAPP($i,$o,cG,sK2))),
% 0.16/0.38 inference(cnf_transformation,[],[f18])).
% 0.16/0.38 thf(f79,plain,(
% 0.16/0.38 ( ! [X0 : $i] : (($true = vAPP($i,$o,cG,sK2)) | (vAPP($i,$o,cS,X0) != $true)) )),
% 0.16/0.38 inference(trivial_inequality_removal,[],[f76])).
% 0.16/0.38 thf(f76,plain,(
% 0.16/0.38 ( ! [X0 : $i] : (($true != $true) | ($true = vAPP($i,$o,cG,sK2)) | (vAPP($i,$o,cS,X0) != $true)) )),
% 0.16/0.38 inference(superposition,[],[f24,f26])).
% 0.16/0.38 thf(f26,plain,(
% 0.16/0.38 ($true = vAPP($i,$o,cF,sK2))),
% 0.16/0.38 inference(cnf_transformation,[],[f18])).
% 0.16/0.38 thf(f24,plain,(
% 0.16/0.38 ( ! [X2 : $i,X1 : $i] : (($true != vAPP($i,$o,cF,X1)) | ($true = vAPP($i,$o,cG,X1)) | ($true != vAPP($i,$o,cS,X2))) )),
% 0.16/0.38 inference(cnf_transformation,[],[f18])).
% 0.16/0.38 % SZS output end Proof for theBenchmark
% 0.16/0.38 % (21430)------------------------------
% 0.16/0.38 % (21430)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.38 % (21430)Termination reason: Refutation
% 0.16/0.38
% 0.16/0.38 % (21430)Memory used [KB]: 769
% 0.16/0.38 % (21430)Time elapsed: 0.006 s
% 0.16/0.38 % (21430)Instructions burned: 7 (million)
% 0.16/0.38 % (21423)Success in time 0.021 s
%------------------------------------------------------------------------------