TSTP Solution File: PUZ088^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : PUZ088^5 : 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 : 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 : Sun May 5 08:50:32 EDT 2024
% Result : Theorem 0.20s 0.38s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : PUZ088^5 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 18:00:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.36 % (7660)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.37 % (7661)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.20/0.37 % (7662)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.37 % (7665)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.20/0.37 % (7664)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.20/0.37 % (7663)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)
% 0.20/0.37 % (7666)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.20/0.38 % (7667)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)
% 0.20/0.38 % (7663)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.20/0.38 % (7664)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.20/0.38 % Exception at run slice level
% 0.20/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.38 % Exception at run slice level
% 0.20/0.38 % Exception at run slice levelUser error:
% 0.20/0.38 Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.38 % Exception at run slice level
% 0.20/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.38 % (7666)Also succeeded, but the first one will report.
% 0.20/0.38 % (7663)Also succeeded, but the first one will report.
% 0.20/0.38 % (7665)First to succeed.
% 0.20/0.38 % (7665)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-7660"
% 0.20/0.38 % (7665)Refutation found. Thanks to Tanya!
% 0.20/0.38 % SZS status Theorem for theBenchmark
% 0.20/0.38 % SZS output start Proof for theBenchmark
% 0.20/0.38 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.20/0.38 thf(func_def_0, type, cLIKES: $i > $i > $o).
% 0.20/0.38 thf(func_def_6, type, sK0: $i > $i).
% 0.20/0.38 thf(func_def_7, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
% 0.20/0.38 thf(func_def_8, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
% 0.20/0.38 thf(func_def_9, type, vAND: $o > $o > $o).
% 0.20/0.38 thf(func_def_10, type, vOR: $o > $o > $o).
% 0.20/0.38 thf(func_def_11, type, vIMP: $o > $o > $o).
% 0.20/0.38 thf(func_def_12, type, vNOT: $o > $o).
% 0.20/0.38 thf(func_def_13, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.20/0.38 thf(f57,plain,(
% 0.20/0.38 $false),
% 0.20/0.38 inference(trivial_inequality_removal,[],[f54])).
% 0.20/0.38 thf(f54,plain,(
% 0.20/0.38 ($true = $false)),
% 0.20/0.38 inference(superposition,[],[f44,f52])).
% 0.20/0.38 thf(f52,plain,(
% 0.20/0.38 ( ! [X0 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cLIKES,cLYLE),X0))) )),
% 0.20/0.38 inference(trivial_inequality_removal,[],[f48])).
% 0.20/0.38 thf(f48,plain,(
% 0.20/0.38 ( ! [X0 : $i] : (($true != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cLIKES,cLYLE),X0))) )),
% 0.20/0.38 inference(superposition,[],[f13,f12])).
% 0.20/0.38 thf(f12,plain,(
% 0.20/0.38 ( ! [X4 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cLIKES,X4),cBRUCE))) )),
% 0.20/0.38 inference(cnf_transformation,[],[f11])).
% 0.20/0.38 thf(f11,plain,(
% 0.20/0.38 ! [X0] : ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cLIKES,X0),vAPP($i,$i,sK0,X0))) & ! [X2] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cLIKES,cLYLE),X2)) | ! [X3] : ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cLIKES,X2),X3))) & ! [X4] : ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cLIKES,X4),cBRUCE))),
% 0.20/0.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f9,f10])).
% 0.20/0.38 thf(f10,plain,(
% 0.20/0.38 ! [X0] : (? [X1] : ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cLIKES,X0),X1)) => ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cLIKES,X0),vAPP($i,$i,sK0,X0))))),
% 0.20/0.38 introduced(choice_axiom,[])).
% 0.20/0.38 thf(f9,plain,(
% 0.20/0.38 ! [X0] : ? [X1] : ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cLIKES,X0),X1)) & ! [X2] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cLIKES,cLYLE),X2)) | ! [X3] : ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cLIKES,X2),X3))) & ! [X4] : ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cLIKES,X4),cBRUCE))),
% 0.20/0.38 inference(rectify,[],[f8])).
% 0.20/0.38 thf(f8,plain,(
% 0.20/0.38 ! [X3] : ? [X4] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),cLIKES,X3),X4) != $true) & ! [X0] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cLIKES,cLYLE),X0)) | ! [X1] : ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cLIKES,X0),X1))) & ! [X2] : ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cLIKES,X2),cBRUCE))),
% 0.20/0.38 inference(flattening,[],[f7])).
% 0.20/0.38 thf(f7,plain,(
% 0.20/0.38 ! [X3] : ? [X4] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),cLIKES,X3),X4) != $true) & (! [X0] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cLIKES,cLYLE),X0)) | ! [X1] : ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cLIKES,X0),X1))) & ! [X2] : ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cLIKES,X2),cBRUCE)))),
% 0.20/0.38 inference(ennf_transformation,[],[f6])).
% 0.20/0.38 thf(f6,plain,(
% 0.20/0.38 ~((! [X0] : (? [X1] : ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cLIKES,X0),X1)) => ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cLIKES,cLYLE),X0))) & ! [X2] : ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cLIKES,X2),cBRUCE))) => ? [X3] : ! [X4] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),cLIKES,X3),X4) = $true))),
% 0.20/0.38 inference(fool_elimination,[],[f5])).
% 0.20/0.38 thf(f5,plain,(
% 0.20/0.38 ~((! [X0] : (? [X1] : vAPP($i,$o,vAPP($i,sTfun($i,$o),cLIKES,X0),X1) => vAPP($i,$o,vAPP($i,sTfun($i,$o),cLIKES,cLYLE),X0)) & ! [X2] : vAPP($i,$o,vAPP($i,sTfun($i,$o),cLIKES,X2),cBRUCE)) => ? [X3] : ! [X4] : vAPP($i,$o,vAPP($i,sTfun($i,$o),cLIKES,X3),X4))),
% 0.20/0.38 inference(rectify,[],[f2])).
% 0.20/0.38 thf(f2,negated_conjecture,(
% 0.20/0.38 ~((! [X1] : (? [X2] : vAPP($i,$o,vAPP($i,sTfun($i,$o),cLIKES,X1),X2) => vAPP($i,$o,vAPP($i,sTfun($i,$o),cLIKES,cLYLE),X1)) & ! [X0] : vAPP($i,$o,vAPP($i,sTfun($i,$o),cLIKES,X0),cBRUCE)) => ? [X3] : ! [X4] : vAPP($i,$o,vAPP($i,sTfun($i,$o),cLIKES,X3),X4))),
% 0.20/0.38 inference(negated_conjecture,[],[f1])).
% 0.20/0.38 thf(f1,conjecture,(
% 0.20/0.38 (! [X1] : (? [X2] : vAPP($i,$o,vAPP($i,sTfun($i,$o),cLIKES,X1),X2) => vAPP($i,$o,vAPP($i,sTfun($i,$o),cLIKES,cLYLE),X1)) & ! [X0] : vAPP($i,$o,vAPP($i,sTfun($i,$o),cLIKES,X0),cBRUCE)) => ? [X3] : ! [X4] : vAPP($i,$o,vAPP($i,sTfun($i,$o),cLIKES,X3),X4)),
% 0.20/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM68A)).
% 0.20/0.38 thf(f13,plain,(
% 0.20/0.38 ( ! [X2 : $i,X3 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cLIKES,X2),X3)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),cLIKES,cLYLE),X2))) )),
% 0.20/0.38 inference(cnf_transformation,[],[f11])).
% 0.20/0.38 thf(f44,plain,(
% 0.20/0.38 ( ! [X0 : $i] : (($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),cLIKES,X0),vAPP($i,$i,sK0,X0)))) )),
% 0.20/0.38 inference(trivial_inequality_removal,[],[f43])).
% 0.20/0.38 thf(f43,plain,(
% 0.20/0.38 ( ! [X0 : $i] : (($true != $true) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),cLIKES,X0),vAPP($i,$i,sK0,X0)))) )),
% 0.20/0.38 inference(superposition,[],[f14,f4])).
% 0.20/0.38 thf(f4,plain,(
% 0.20/0.38 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.20/0.38 introduced(fool_axiom,[])).
% 0.20/0.38 thf(f14,plain,(
% 0.20/0.38 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),cLIKES,X0),vAPP($i,$i,sK0,X0)))) )),
% 0.20/0.38 inference(cnf_transformation,[],[f11])).
% 0.20/0.38 % SZS output end Proof for theBenchmark
% 0.20/0.38 % (7665)------------------------------
% 0.20/0.38 % (7665)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.38 % (7665)Termination reason: Refutation
% 0.20/0.38
% 0.20/0.38 % (7665)Memory used [KB]: 767
% 0.20/0.38 % (7665)Time elapsed: 0.005 s
% 0.20/0.38 % (7665)Instructions burned: 5 (million)
% 0.20/0.38 % (7660)Success in time 0.018 s
%------------------------------------------------------------------------------