TSTP Solution File: SYN357^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN357^5 : 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 : n004.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 08:35:12 EDT 2024
% Result : Theorem 0.12s 0.36s
% Output : Refutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : SYN357^5 : TPTP v8.2.0. Released v4.0.0.
% 0.09/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon May 20 14:06:37 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % (7070)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.35 % (7074)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.12/0.35 % (7074)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.12/0.35 % Exception at run slice level
% 0.12/0.35 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.12/0.36 % (7071)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.12/0.36 % (7073)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)
% 0.12/0.36 % (7075)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.12/0.36 % (7076)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.12/0.36 % (7072)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.36 % (7077)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)
% 0.12/0.36 % (7073)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.12/0.36 % Exception at run slice level
% 0.12/0.36 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.12/0.36 % Exception at run slice level
% 0.12/0.36 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.12/0.36 % Exception at run slice level
% 0.12/0.36 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.12/0.36 % (7073)Also succeeded, but the first one will report.
% 0.12/0.36 % (7075)First to succeed.
% 0.12/0.36 % (7075)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-7070"
% 0.12/0.36 % (7076)Also succeeded, but the first one will report.
% 0.12/0.36 % (7078)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)
% 0.12/0.36 % Exception at run slice level
% 0.12/0.36 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.12/0.36 % (7075)Refutation found. Thanks to Tanya!
% 0.12/0.36 % SZS status Theorem for theBenchmark
% 0.12/0.36 % SZS output start Proof for theBenchmark
% 0.12/0.36 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.12/0.36 thf(func_def_0, type, cP: $i > $o).
% 0.12/0.36 thf(func_def_5, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
% 0.12/0.36 thf(func_def_6, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
% 0.12/0.36 thf(func_def_7, type, vAND: $o > $o > $o).
% 0.12/0.36 thf(func_def_8, type, vOR: $o > $o > $o).
% 0.12/0.36 thf(func_def_9, type, vIMP: $o > $o > $o).
% 0.12/0.36 thf(func_def_10, type, vNOT: $o > $o).
% 0.12/0.36 thf(func_def_11, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.12/0.36 thf(f13,plain,(
% 0.12/0.36 $false),
% 0.12/0.36 inference(trivial_inequality_removal,[],[f12])).
% 0.12/0.36 thf(f12,plain,(
% 0.12/0.36 ($true != $true)),
% 0.12/0.36 inference(superposition,[],[f11,f10])).
% 0.12/0.36 thf(f10,plain,(
% 0.12/0.36 ($true = vAPP($i,$o,cP,sK0))),
% 0.12/0.36 inference(cnf_transformation,[],[f9])).
% 0.12/0.36 thf(f9,plain,(
% 0.12/0.36 ! [X1] : ((vAPP($i,$o,cP,X1) != $true) & ($true = vAPP($i,$o,cP,sK0)))),
% 0.12/0.36 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f7,f8])).
% 0.12/0.36 thf(f8,plain,(
% 0.12/0.36 ? [X0] : ! [X1] : ((vAPP($i,$o,cP,X1) != $true) & (vAPP($i,$o,cP,X0) = $true)) => ! [X1] : ((vAPP($i,$o,cP,X1) != $true) & ($true = vAPP($i,$o,cP,sK0)))),
% 0.12/0.36 introduced(choice_axiom,[])).
% 0.12/0.36 thf(f7,plain,(
% 0.12/0.36 ? [X0] : ! [X1] : ((vAPP($i,$o,cP,X1) != $true) & (vAPP($i,$o,cP,X0) = $true))),
% 0.12/0.36 inference(ennf_transformation,[],[f6])).
% 0.12/0.36 thf(f6,plain,(
% 0.12/0.36 ~! [X0] : ? [X1] : ((vAPP($i,$o,cP,X0) = $true) => (vAPP($i,$o,cP,X1) = $true))),
% 0.12/0.36 inference(fool_elimination,[],[f5])).
% 0.12/0.36 thf(f5,plain,(
% 0.12/0.36 ~! [X0] : ? [X1] : (vAPP($i,$o,cP,X0) => vAPP($i,$o,cP,X1))),
% 0.12/0.36 inference(rectify,[],[f2])).
% 0.12/0.36 thf(f2,negated_conjecture,(
% 0.12/0.36 ~! [X0] : ? [X1] : (vAPP($i,$o,cP,X0) => vAPP($i,$o,cP,X1))),
% 0.12/0.36 inference(negated_conjecture,[],[f1])).
% 0.12/0.36 thf(f1,conjecture,(
% 0.12/0.36 ! [X0] : ? [X1] : (vAPP($i,$o,cP,X0) => vAPP($i,$o,cP,X1))),
% 0.12/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cLX2108)).
% 0.12/0.36 thf(f11,plain,(
% 0.12/0.36 ( ! [X1 : $i] : ((vAPP($i,$o,cP,X1) != $true)) )),
% 0.12/0.36 inference(cnf_transformation,[],[f9])).
% 0.12/0.36 % SZS output end Proof for theBenchmark
% 0.12/0.36 % (7075)------------------------------
% 0.12/0.36 % (7075)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.36 % (7075)Termination reason: Refutation
% 0.12/0.36
% 0.12/0.36 % (7075)Memory used [KB]: 735
% 0.12/0.36 % (7075)Time elapsed: 0.003 s
% 0.12/0.36 % (7075)Instructions burned: 3 (million)
% 0.12/0.36 % (7070)Success in time 0.016 s
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