TSTP Solution File: SYN358^5 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN358^5 : 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 : n006.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 08:35:13 EDT 2024
% Result : Theorem 0.15s 0.37s
% Output : Refutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN358^5 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n006.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon May 20 15:40:38 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (6780)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.36 % (6784)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.36 % (6784)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.15/0.36 % Exception at run slice level
% 0.15/0.36 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.37 % (6783)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)
% 0.15/0.37 % (6785)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.37 % (6781)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37 % (6787)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 % (6786)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.37 % (6782)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37 % (6783)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 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
% 0.15/0.37 % Exception at run slice level
% 0.15/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.37 % Exception at run slice level
% 0.15/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.37 % (6785)First to succeed.
% 0.15/0.37 % (6786)Also succeeded, but the first one will report.
% 0.15/0.37 % (6783)Also succeeded, but the first one will report.
% 0.15/0.37 % (6790)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)
% 0.15/0.37 % Exception at run slice level
% 0.15/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.37 % (6785)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-6780"
% 0.15/0.37 % (6785)Refutation found. Thanks to Tanya!
% 0.15/0.37 % SZS status Theorem for theBenchmark
% 0.15/0.37 % SZS output start Proof for theBenchmark
% 0.15/0.37 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.15/0.37 thf(func_def_0, type, cQ: $i > $o).
% 0.15/0.37 thf(func_def_1, type, p: $o).
% 0.15/0.37 thf(func_def_7, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
% 0.15/0.37 thf(func_def_8, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
% 0.15/0.37 thf(func_def_9, type, vAND: $o > $o > $o).
% 0.15/0.37 thf(func_def_10, type, vOR: $o > $o > $o).
% 0.15/0.37 thf(func_def_11, type, vIMP: $o > $o > $o).
% 0.15/0.37 thf(func_def_12, type, vNOT: $o > $o).
% 0.15/0.37 thf(func_def_13, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.15/0.37 thf(f59,plain,(
% 0.15/0.37 $false),
% 0.15/0.37 inference(subsumption_resolution,[],[f58,f54])).
% 0.15/0.37 thf(f54,plain,(
% 0.15/0.37 ( ! [X0 : $i] : ((vAPP($i,$o,cQ,X0) != $true)) )),
% 0.15/0.37 inference(subsumption_resolution,[],[f53,f49])).
% 0.15/0.37 thf(f49,plain,(
% 0.15/0.37 ( ! [X0 : $i,X1 : $i] : ((vAPP($i,$o,cQ,X0) != $true) | ($true != vAPP($i,$o,cQ,X1))) )),
% 0.15/0.37 inference(subsumption_resolution,[],[f20,f19])).
% 0.15/0.37 thf(f19,plain,(
% 0.15/0.37 (p = $true)),
% 0.15/0.37 inference(duplicate_literal_removal,[],[f14])).
% 0.15/0.37 thf(f14,plain,(
% 0.15/0.37 (p = $true) | (p = $true)),
% 0.15/0.37 inference(cnf_transformation,[],[f13])).
% 0.15/0.37 thf(f13,plain,(
% 0.15/0.37 (! [X0] : (vAPP($i,$o,cQ,X0) != $true) | (p != $true) | ! [X1] : (($true != vAPP($i,$o,cQ,X1)) | (p != $true))) & ((($true = vAPP($i,$o,cQ,sK0)) & (p = $true)) | (($true = vAPP($i,$o,cQ,sK1)) & (p = $true)))),
% 0.15/0.37 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f10,f12,f11])).
% 0.15/0.37 thf(f11,plain,(
% 0.15/0.37 ? [X2] : ($true = vAPP($i,$o,cQ,X2)) => ($true = vAPP($i,$o,cQ,sK0))),
% 0.15/0.37 introduced(choice_axiom,[])).
% 0.15/0.37 thf(f12,plain,(
% 0.15/0.37 ? [X3] : (($true = vAPP($i,$o,cQ,X3)) & (p = $true)) => (($true = vAPP($i,$o,cQ,sK1)) & (p = $true))),
% 0.15/0.37 introduced(choice_axiom,[])).
% 0.15/0.37 thf(f10,plain,(
% 0.15/0.37 (! [X0] : (vAPP($i,$o,cQ,X0) != $true) | (p != $true) | ! [X1] : (($true != vAPP($i,$o,cQ,X1)) | (p != $true))) & ((? [X2] : ($true = vAPP($i,$o,cQ,X2)) & (p = $true)) | ? [X3] : (($true = vAPP($i,$o,cQ,X3)) & (p = $true)))),
% 0.15/0.37 inference(rectify,[],[f9])).
% 0.15/0.37 thf(f9,plain,(
% 0.15/0.37 (! [X1] : ($true != vAPP($i,$o,cQ,X1)) | (p != $true) | ! [X0] : ((vAPP($i,$o,cQ,X0) != $true) | (p != $true))) & ((? [X1] : ($true = vAPP($i,$o,cQ,X1)) & (p = $true)) | ? [X0] : ((vAPP($i,$o,cQ,X0) = $true) & (p = $true)))),
% 0.15/0.37 inference(flattening,[],[f8])).
% 0.15/0.37 thf(f8,plain,(
% 0.15/0.37 ((! [X1] : ($true != vAPP($i,$o,cQ,X1)) | (p != $true)) | ! [X0] : ((vAPP($i,$o,cQ,X0) != $true) | (p != $true))) & ((? [X1] : ($true = vAPP($i,$o,cQ,X1)) & (p = $true)) | ? [X0] : ((vAPP($i,$o,cQ,X0) = $true) & (p = $true)))),
% 0.15/0.37 inference(nnf_transformation,[],[f7])).
% 0.15/0.37 thf(f7,plain,(
% 0.15/0.37 ? [X0] : ((vAPP($i,$o,cQ,X0) = $true) & (p = $true)) <~> (? [X1] : ($true = vAPP($i,$o,cQ,X1)) & (p = $true))),
% 0.15/0.37 inference(ennf_transformation,[],[f6])).
% 0.15/0.37 thf(f6,plain,(
% 0.15/0.37 ~(? [X0] : ((vAPP($i,$o,cQ,X0) = $true) & (p = $true)) <=> (? [X1] : ($true = vAPP($i,$o,cQ,X1)) & (p = $true)))),
% 0.15/0.37 inference(fool_elimination,[],[f5])).
% 0.15/0.37 thf(f5,plain,(
% 0.15/0.37 ~(? [X0] : (vAPP($i,$o,cQ,X0) & p) <=> (? [X1] : vAPP($i,$o,cQ,X1) & p))),
% 0.15/0.37 inference(rectify,[],[f2])).
% 0.15/0.37 thf(f2,negated_conjecture,(
% 0.15/0.37 ~(? [X0] : (vAPP($i,$o,cQ,X0) & p) <=> (? [X0] : vAPP($i,$o,cQ,X0) & p))),
% 0.15/0.37 inference(negated_conjecture,[],[f1])).
% 0.15/0.37 thf(f1,conjecture,(
% 0.15/0.37 ? [X0] : (vAPP($i,$o,cQ,X0) & p) <=> (? [X0] : vAPP($i,$o,cQ,X0) & p)),
% 0.15/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cX2109)).
% 0.15/0.37 thf(f20,plain,(
% 0.15/0.37 ( ! [X0 : $i,X1 : $i] : ((vAPP($i,$o,cQ,X0) != $true) | (p != $true) | ($true != vAPP($i,$o,cQ,X1))) )),
% 0.15/0.37 inference(duplicate_literal_removal,[],[f18])).
% 0.15/0.37 thf(f18,plain,(
% 0.15/0.37 ( ! [X0 : $i,X1 : $i] : ((vAPP($i,$o,cQ,X0) != $true) | (p != $true) | ($true != vAPP($i,$o,cQ,X1)) | (p != $true)) )),
% 0.15/0.37 inference(cnf_transformation,[],[f13])).
% 0.15/0.37 thf(f53,plain,(
% 0.15/0.37 ( ! [X0 : $i] : ((vAPP($i,$o,cQ,X0) != $true) | ($true = vAPP($i,$o,cQ,sK0))) )),
% 0.15/0.37 inference(trivial_inequality_removal,[],[f50])).
% 0.15/0.37 thf(f50,plain,(
% 0.15/0.37 ( ! [X0 : $i] : (($true != $true) | (vAPP($i,$o,cQ,X0) != $true) | ($true = vAPP($i,$o,cQ,sK0))) )),
% 0.15/0.37 inference(superposition,[],[f49,f17])).
% 0.15/0.37 thf(f17,plain,(
% 0.15/0.37 ($true = vAPP($i,$o,cQ,sK1)) | ($true = vAPP($i,$o,cQ,sK0))),
% 0.15/0.37 inference(cnf_transformation,[],[f13])).
% 0.15/0.37 thf(f58,plain,(
% 0.15/0.37 ($true = vAPP($i,$o,cQ,sK0))),
% 0.15/0.37 inference(trivial_inequality_removal,[],[f55])).
% 0.15/0.37 thf(f55,plain,(
% 0.15/0.37 ($true != $true) | ($true = vAPP($i,$o,cQ,sK0))),
% 0.15/0.37 inference(superposition,[],[f54,f17])).
% 0.15/0.37 % SZS output end Proof for theBenchmark
% 0.15/0.37 % (6785)------------------------------
% 0.15/0.37 % (6785)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.37 % (6785)Termination reason: Refutation
% 0.15/0.37
% 0.15/0.37 % (6785)Memory used [KB]: 753
% 0.15/0.37 % (6785)Time elapsed: 0.005 s
% 0.15/0.37 % (6785)Instructions burned: 4 (million)
% 0.15/0.37 % (6780)Success in time 0.017 s
%------------------------------------------------------------------------------