TSTP Solution File: SYO315^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO315^5 : 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 : n027.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 09:10:54 EDT 2024
% Result : Theorem 0.11s 0.36s
% Output : Refutation 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : SYO315^5 : TPTP v8.2.0. Released v4.0.0.
% 0.02/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.33 % Computer : n027.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon May 20 09:10:37 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.34 % (23086)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.35 % (23089)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)
% 0.11/0.35 % (23093)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)
% 0.11/0.35 % (23090)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.11/0.35 % (23092)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.11/0.35 % (23088)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.35 % (23087)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.11/0.35 % (23091)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.11/0.36 % (23089)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.11/0.36 % (23090)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.11/0.36 % Exception at run slice level% Exception at run slice level% Exception at run slice level
% 0.11/0.36
% 0.11/0.36 % Exception at run slice level
% 0.11/0.36 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 constructsUser error:
% 0.11/0.36
% 0.11/0.36 Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.11/0.36
% 0.11/0.36 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.11/0.36 % (23089)First to succeed.
% 0.11/0.36 % (23092)Also succeeded, but the first one will report.
% 0.11/0.36 % (23091)Also succeeded, but the first one will report.
% 0.11/0.36 % (23089)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23086"
% 0.11/0.36 % (23089)Refutation found. Thanks to Tanya!
% 0.11/0.36 % SZS status Theorem for theBenchmark
% 0.11/0.36 % SZS output start Proof for theBenchmark
% 0.11/0.36 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.11/0.36 thf(func_def_4, type, sK0: $i > $o).
% 0.11/0.36 thf(func_def_5, type, sK1: $i > $o).
% 0.11/0.36 thf(func_def_9, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
% 0.11/0.36 thf(func_def_10, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
% 0.11/0.36 thf(func_def_11, type, vAND: $o > $o > $o).
% 0.11/0.36 thf(func_def_12, type, vOR: $o > $o > $o).
% 0.11/0.36 thf(func_def_13, type, vIMP: $o > $o > $o).
% 0.11/0.36 thf(func_def_14, type, vNOT: $o > $o).
% 0.11/0.36 thf(func_def_15, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.11/0.36 thf(f92,plain,(
% 0.11/0.36 $false),
% 0.11/0.36 inference(trivial_inequality_removal,[],[f91])).
% 0.11/0.36 thf(f91,plain,(
% 0.11/0.36 ($true = $false)),
% 0.11/0.36 inference(forward_demodulation,[],[f87,f30])).
% 0.11/0.36 thf(f30,plain,(
% 0.11/0.36 ($false = vAPP($i,$o,sK0,sK3))),
% 0.11/0.36 inference(trivial_inequality_removal,[],[f26])).
% 0.11/0.36 thf(f26,plain,(
% 0.11/0.36 ($true != $true) | ($false = vAPP($i,$o,sK0,sK3))),
% 0.11/0.36 inference(superposition,[],[f13,f4])).
% 0.11/0.36 thf(f4,plain,(
% 0.11/0.36 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.11/0.36 introduced(fool_axiom,[])).
% 0.11/0.36 thf(f13,plain,(
% 0.11/0.36 ($true != vAPP($i,$o,sK0,sK3))),
% 0.11/0.36 inference(cnf_transformation,[],[f11])).
% 0.11/0.36 thf(f11,plain,(
% 0.11/0.36 ! [X0 : $i > $o,X1 : $i > $o,X2,X3] : ((vAPP($i,$o,X0,X3) = $true) | (vAPP($i,$o,X0,X2) != $true) | (vAPP($i,$o,X1,X3) != $true) | (vAPP($i,$o,X1,z) = $true)) & (($true != vAPP($i,$o,sK1,z)) & ($true = vAPP($i,$o,sK1,sK3)) & ($true != vAPP($i,$o,sK0,sK3)) & ($true = vAPP($i,$o,sK0,sK2)))),
% 0.11/0.36 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f9,f10])).
% 0.11/0.36 thf(f10,plain,(
% 0.11/0.36 ? [X4 : $i > $o,X5 : $i > $o,X6,X7] : (($true != vAPP($i,$o,X5,z)) & ($true = vAPP($i,$o,X5,X7)) & ($true != vAPP($i,$o,X4,X7)) & ($true = vAPP($i,$o,X4,X6))) => (($true != vAPP($i,$o,sK1,z)) & ($true = vAPP($i,$o,sK1,sK3)) & ($true != vAPP($i,$o,sK0,sK3)) & ($true = vAPP($i,$o,sK0,sK2)))),
% 0.11/0.36 introduced(choice_axiom,[])).
% 0.11/0.36 thf(f9,plain,(
% 0.11/0.36 ! [X0 : $i > $o,X1 : $i > $o,X2,X3] : ((vAPP($i,$o,X0,X3) = $true) | (vAPP($i,$o,X0,X2) != $true) | (vAPP($i,$o,X1,X3) != $true) | (vAPP($i,$o,X1,z) = $true)) & ? [X4 : $i > $o,X5 : $i > $o,X6,X7] : (($true != vAPP($i,$o,X5,z)) & ($true = vAPP($i,$o,X5,X7)) & ($true != vAPP($i,$o,X4,X7)) & ($true = vAPP($i,$o,X4,X6)))),
% 0.11/0.36 inference(rectify,[],[f8])).
% 0.11/0.36 thf(f8,plain,(
% 0.11/0.36 ! [X4 : $i > $o,X5 : $i > $o,X6,X7] : (($true = vAPP($i,$o,X4,X7)) | ($true != vAPP($i,$o,X4,X6)) | ($true != vAPP($i,$o,X5,X7)) | ($true = vAPP($i,$o,X5,z))) & ? [X0 : $i > $o,X1 : $i > $o,X2,X3] : ((vAPP($i,$o,X1,z) != $true) & (vAPP($i,$o,X1,X3) = $true) & (vAPP($i,$o,X0,X3) != $true) & (vAPP($i,$o,X0,X2) = $true))),
% 0.11/0.36 inference(ennf_transformation,[],[f7])).
% 0.11/0.36 thf(f7,plain,(
% 0.11/0.36 ~(? [X0 : $i > $o,X1 : $i > $o,X2,X3] : ((vAPP($i,$o,X1,z) != $true) & (vAPP($i,$o,X1,X3) = $true) & (vAPP($i,$o,X0,X3) != $true) & (vAPP($i,$o,X0,X2) = $true)) => ? [X4 : $i > $o,X5 : $i > $o,X6,X7] : (($true != vAPP($i,$o,X4,X7)) & ($true = vAPP($i,$o,X4,X6)) & ($true = vAPP($i,$o,X5,X7)) & ($true != vAPP($i,$o,X5,z))))),
% 0.11/0.36 inference(flattening,[],[f6])).
% 0.11/0.36 thf(f6,plain,(
% 0.11/0.36 ~(? [X0 : $i > $o,X1 : $i > $o,X2,X3] : (~(vAPP($i,$o,X1,z) = $true) & (vAPP($i,$o,X1,X3) = $true) & ~(vAPP($i,$o,X0,X3) = $true) & (vAPP($i,$o,X0,X2) = $true)) => ? [X4 : $i > $o,X5 : $i > $o,X6,X7] : (~($true = vAPP($i,$o,X4,X7)) & ($true = vAPP($i,$o,X4,X6)) & ($true = vAPP($i,$o,X5,X7)) & ~($true = vAPP($i,$o,X5,z))))),
% 0.11/0.36 inference(fool_elimination,[],[f5])).
% 0.11/0.36 thf(f5,plain,(
% 0.11/0.36 ~(? [X0 : $i > $o,X1 : $i > $o,X2,X3] : (~vAPP($i,$o,X1,z) & vAPP($i,$o,X1,X3) & ~vAPP($i,$o,X0,X3) & vAPP($i,$o,X0,X2)) => ? [X4 : $i > $o,X5 : $i > $o,X6,X7] : (~vAPP($i,$o,X4,X7) & vAPP($i,$o,X4,X6) & vAPP($i,$o,X5,X7) & ~vAPP($i,$o,X5,z)))),
% 0.11/0.36 inference(rectify,[],[f2])).
% 0.11/0.36 thf(f2,negated_conjecture,(
% 0.11/0.36 ~(? [X0 : $i > $o,X1 : $i > $o,X2,X3] : (~vAPP($i,$o,X1,z) & vAPP($i,$o,X1,X3) & ~vAPP($i,$o,X0,X3) & vAPP($i,$o,X0,X2)) => ? [X0 : $i > $o,X1 : $i > $o,X2,X3] : (~vAPP($i,$o,X0,X3) & vAPP($i,$o,X0,X2) & vAPP($i,$o,X1,X3) & ~vAPP($i,$o,X1,z)))),
% 0.11/0.36 inference(negated_conjecture,[],[f1])).
% 0.11/0.36 thf(f1,conjecture,(
% 0.11/0.36 ? [X0 : $i > $o,X1 : $i > $o,X2,X3] : (~vAPP($i,$o,X1,z) & vAPP($i,$o,X1,X3) & ~vAPP($i,$o,X0,X3) & vAPP($i,$o,X0,X2)) => ? [X0 : $i > $o,X1 : $i > $o,X2,X3] : (~vAPP($i,$o,X0,X3) & vAPP($i,$o,X0,X2) & vAPP($i,$o,X1,X3) & ~vAPP($i,$o,X1,z))),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cSILLYWFF)).
% 0.11/0.36 thf(f87,plain,(
% 0.11/0.36 ($true = vAPP($i,$o,sK0,sK3))),
% 0.11/0.36 inference(backward_demodulation,[],[f12,f86])).
% 0.11/0.36 thf(f86,plain,(
% 0.11/0.36 ( ! [X0 : $i] : ((sK3 = X0)) )),
% 0.11/0.36 inference(trivial_inequality_removal,[],[f85])).
% 0.11/0.36 thf(f85,plain,(
% 0.11/0.36 ( ! [X0 : $i] : (($true = $false) | (sK3 = X0)) )),
% 0.11/0.36 inference(forward_demodulation,[],[f81,f29])).
% 0.11/0.36 thf(f29,plain,(
% 0.11/0.36 ($false = vAPP($i,$o,sK1,z))),
% 0.11/0.36 inference(trivial_inequality_removal,[],[f27])).
% 0.11/0.36 thf(f27,plain,(
% 0.11/0.36 ($true != $true) | ($false = vAPP($i,$o,sK1,z))),
% 0.11/0.36 inference(superposition,[],[f15,f4])).
% 0.11/0.36 thf(f15,plain,(
% 0.11/0.36 ($true != vAPP($i,$o,sK1,z))),
% 0.11/0.36 inference(cnf_transformation,[],[f11])).
% 0.11/0.36 thf(f81,plain,(
% 0.11/0.36 ( ! [X0 : $i] : (($true = vAPP($i,$o,sK1,z)) | (sK3 = X0)) )),
% 0.11/0.36 inference(trivial_inequality_removal,[],[f77])).
% 0.11/0.36 thf(f77,plain,(
% 0.11/0.36 ( ! [X0 : $i] : (($true != $true) | ($true = vAPP($i,$o,sK1,z)) | (sK3 = X0)) )),
% 0.11/0.36 inference(superposition,[],[f49,f14])).
% 0.11/0.36 thf(f14,plain,(
% 0.11/0.36 ($true = vAPP($i,$o,sK1,sK3))),
% 0.11/0.36 inference(cnf_transformation,[],[f11])).
% 0.11/0.36 thf(f49,plain,(
% 0.11/0.36 ( ! [X2 : $i > $o,X0 : $i,X1 : $i] : (($true != vAPP($i,$o,X2,X1)) | ($true = vAPP($i,$o,X2,z)) | (X0 = X1)) )),
% 0.11/0.36 inference(leibniz_equality_elimination,[],[f16])).
% 0.11/0.36 thf(f16,plain,(
% 0.11/0.36 ( ! [X2 : $i,X3 : $i,X0 : $i > $o,X1 : $i > $o] : ((vAPP($i,$o,X1,X3) != $true) | (vAPP($i,$o,X0,X2) != $true) | (vAPP($i,$o,X0,X3) = $true) | (vAPP($i,$o,X1,z) = $true)) )),
% 0.11/0.36 inference(cnf_transformation,[],[f11])).
% 0.11/0.36 thf(f12,plain,(
% 0.11/0.36 ($true = vAPP($i,$o,sK0,sK2))),
% 0.11/0.36 inference(cnf_transformation,[],[f11])).
% 0.11/0.36 % SZS output end Proof for theBenchmark
% 0.11/0.36 % (23089)------------------------------
% 0.11/0.36 % (23089)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.36 % (23089)Termination reason: Refutation
% 0.11/0.36
% 0.11/0.36 % (23089)Memory used [KB]: 773
% 0.11/0.36 % (23089)Time elapsed: 0.006 s
% 0.11/0.36 % (23089)Instructions burned: 7 (million)
% 0.11/0.36 % (23086)Success in time 0.021 s
%------------------------------------------------------------------------------