TSTP Solution File: SYO102^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO102^5 : 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 : n019.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 09:10:19 EDT 2024
% Result : Theorem 0.21s 0.39s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYO102^5 : TPTP v8.2.0. Released v4.0.0.
% 0.14/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n019.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.21/0.36 % CPULimit : 300
% 0.21/0.36 % WCLimit : 300
% 0.21/0.36 % DateTime : Mon May 20 09:24:53 EDT 2024
% 0.21/0.36 % CPUTime :
% 0.21/0.36 % (30932)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.38 % (30933)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.38 % (30935)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)
% 0.21/0.38 % (30936)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.21/0.38 % (30937)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.21/0.38 % (30934)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.38 % (30938)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.21/0.38 % (30935)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.21/0.38 % (30936)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.21/0.38 % Exception at run slice level% Exception at run slice level
% 0.21/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.38 % Exception at run slice level
% 0.21/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.38
% 0.21/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.38 % (30939)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)
% 0.21/0.38 % Exception at run slice level
% 0.21/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.38 % (30938)First to succeed.
% 0.21/0.38 % (30937)Also succeeded, but the first one will report.
% 0.21/0.38 % (30938)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-30932"
% 0.21/0.38 % (30935)Also succeeded, but the first one will report.
% 0.21/0.39 % (30938)Refutation found. Thanks to Tanya!
% 0.21/0.39 % SZS status Theorem for theBenchmark
% 0.21/0.39 % SZS output start Proof for theBenchmark
% 0.21/0.39 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.21/0.39 thf(func_def_0, type, cP: $i > $i > $o).
% 0.21/0.39 thf(func_def_8, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
% 0.21/0.39 thf(func_def_9, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
% 0.21/0.39 thf(func_def_10, type, vAND: $o > $o > $o).
% 0.21/0.39 thf(func_def_11, type, vOR: $o > $o > $o).
% 0.21/0.39 thf(func_def_12, type, vIMP: $o > $o > $o).
% 0.21/0.39 thf(func_def_13, type, vNOT: $o > $o).
% 0.21/0.39 thf(func_def_14, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.21/0.39 thf(f87,plain,(
% 0.21/0.39 $false),
% 0.21/0.39 inference(trivial_inequality_removal,[],[f86])).
% 0.21/0.39 thf(f86,plain,(
% 0.21/0.39 ($true = $false)),
% 0.21/0.39 inference(forward_demodulation,[],[f85,f46])).
% 0.21/0.39 thf(f46,plain,(
% 0.21/0.39 ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,sK0),sK2))),
% 0.21/0.39 inference(trivial_inequality_removal,[],[f45])).
% 0.21/0.39 thf(f45,plain,(
% 0.21/0.39 ($true != $true) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,sK0),sK2))),
% 0.21/0.39 inference(superposition,[],[f16,f4])).
% 0.21/0.39 thf(f4,plain,(
% 0.21/0.39 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.21/0.39 introduced(fool_axiom,[])).
% 0.21/0.39 thf(f16,plain,(
% 0.21/0.39 ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,sK0),sK2))),
% 0.21/0.39 inference(cnf_transformation,[],[f11])).
% 0.21/0.39 thf(f11,plain,(
% 0.21/0.39 (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,sK0),sK2)) & ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,sK1),sK2)) & ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,sK0),sK1))) & ! [X3,X4,X5] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X3),X5) = $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X5),X4)) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X3),X4) != $true)) & ! [X6] : ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X6),X6))),
% 0.21/0.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f9,f10])).
% 0.21/0.39 thf(f10,plain,(
% 0.21/0.39 ? [X0,X1,X2] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X0),X2) != $true) & ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X1),X2)) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X0),X1) = $true)) => (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,sK0),sK2)) & ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,sK1),sK2)) & ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,sK0),sK1)))),
% 0.21/0.39 introduced(choice_axiom,[])).
% 0.21/0.39 thf(f9,plain,(
% 0.21/0.39 ? [X0,X1,X2] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X0),X2) != $true) & ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X1),X2)) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X0),X1) = $true)) & ! [X3,X4,X5] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X3),X5) = $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X5),X4)) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X3),X4) != $true)) & ! [X6] : ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X6),X6))),
% 0.21/0.39 inference(rectify,[],[f8])).
% 0.21/0.39 thf(f8,plain,(
% 0.21/0.39 ? [X4,X5,X6] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X4),X6)) & ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X5),X6)) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X4),X5) = $true)) & ! [X0,X1,X2] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X0),X2) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X2),X1) != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X0),X1) != $true)) & ! [X3] : ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X3),X3))),
% 0.21/0.39 inference(flattening,[],[f7])).
% 0.21/0.39 thf(f7,plain,(
% 0.21/0.39 ? [X4,X5,X6] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X4),X6)) & (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X5),X6)) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X4),X5) = $true))) & (! [X0,X1,X2] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X0),X2) = $true) | ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X2),X1) != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X0),X1) != $true))) & ! [X3] : ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X3),X3)))),
% 0.21/0.39 inference(ennf_transformation,[],[f6])).
% 0.21/0.39 thf(f6,plain,(
% 0.21/0.39 ~((! [X0,X1,X2] : (((vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X2),X1) = $true) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X0),X1) = $true)) => (vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X0),X2) = $true)) & ! [X3] : ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X3),X3))) => ! [X4,X5,X6] : ((($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X5),X6)) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X4),X5) = $true)) => ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X4),X6))))),
% 0.21/0.39 inference(fool_elimination,[],[f5])).
% 0.21/0.39 thf(f5,plain,(
% 0.21/0.39 ~((! [X0,X1,X2] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X2),X1) & vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X0),X1)) => vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X0),X2)) & ! [X3] : vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X3),X3)) => ! [X4,X5,X6] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X5),X6) & vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X4),X5)) => vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X4),X6)))),
% 0.21/0.39 inference(rectify,[],[f2])).
% 0.21/0.39 thf(f2,negated_conjecture,(
% 0.21/0.39 ~((! [X0,X1,X2] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X2),X1) & vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X0),X1)) => vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X0),X2)) & ! [X0] : vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X0),X0)) => ! [X3,X4,X5] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X4),X5) & vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X3),X4)) => vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X3),X5)))),
% 0.21/0.39 inference(negated_conjecture,[],[f1])).
% 0.21/0.39 thf(f1,conjecture,(
% 0.21/0.39 (! [X0,X1,X2] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X2),X1) & vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X0),X1)) => vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X0),X2)) & ! [X0] : vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X0),X0)) => ! [X3,X4,X5] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X4),X5) & vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X3),X4)) => vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X3),X5))),
% 0.21/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM101)).
% 0.21/0.39 thf(f85,plain,(
% 0.21/0.39 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,sK0),sK2))),
% 0.21/0.39 inference(trivial_inequality_removal,[],[f80])).
% 0.21/0.39 thf(f80,plain,(
% 0.21/0.39 ($true != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,sK0),sK2))),
% 0.21/0.39 inference(superposition,[],[f57,f78])).
% 0.21/0.39 thf(f78,plain,(
% 0.21/0.39 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,sK2),sK1))),
% 0.21/0.39 inference(trivial_inequality_removal,[],[f75])).
% 0.21/0.39 thf(f75,plain,(
% 0.21/0.39 ($true != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,sK2),sK1))),
% 0.21/0.39 inference(superposition,[],[f58,f15])).
% 0.21/0.39 thf(f15,plain,(
% 0.21/0.39 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,sK1),sK2))),
% 0.21/0.39 inference(cnf_transformation,[],[f11])).
% 0.21/0.39 thf(f58,plain,(
% 0.21/0.39 ( ! [X0 : $i,X1 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X1),X0)) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X0),X1) = $true)) )),
% 0.21/0.39 inference(trivial_inequality_removal,[],[f50])).
% 0.21/0.39 thf(f50,plain,(
% 0.21/0.39 ( ! [X0 : $i,X1 : $i] : (($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X1),X0)) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X0),X1) = $true)) )),
% 0.21/0.39 inference(superposition,[],[f13,f12])).
% 0.21/0.39 thf(f12,plain,(
% 0.21/0.39 ( ! [X6 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X6),X6))) )),
% 0.21/0.39 inference(cnf_transformation,[],[f11])).
% 0.21/0.39 thf(f13,plain,(
% 0.21/0.39 ( ! [X3 : $i,X4 : $i,X5 : $i] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X3),X4) != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X5),X4)) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X3),X5) = $true)) )),
% 0.21/0.39 inference(cnf_transformation,[],[f11])).
% 0.21/0.39 thf(f57,plain,(
% 0.21/0.39 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X0),sK1)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,sK0),X0))) )),
% 0.21/0.39 inference(trivial_inequality_removal,[],[f51])).
% 0.21/0.39 thf(f51,plain,(
% 0.21/0.39 ( ! [X0 : $i] : (($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,X0),sK1)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,sK0),X0))) )),
% 0.21/0.39 inference(superposition,[],[f13,f14])).
% 0.21/0.39 thf(f14,plain,(
% 0.21/0.39 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cP,sK0),sK1))),
% 0.21/0.39 inference(cnf_transformation,[],[f11])).
% 0.21/0.39 % SZS output end Proof for theBenchmark
% 0.21/0.39 % (30938)------------------------------
% 0.21/0.39 % (30938)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.39 % (30938)Termination reason: Refutation
% 0.21/0.39
% 0.21/0.39 % (30938)Memory used [KB]: 770
% 0.21/0.39 % (30938)Time elapsed: 0.006 s
% 0.21/0.39 % (30938)Instructions burned: 8 (million)
% 0.21/0.39 % (30932)Success in time 0.005 s
%------------------------------------------------------------------------------