TSTP Solution File: SYO131^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO131^5 : 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 09:10:23 EDT 2024
% Result : Theorem 0.13s 0.37s
% Output : Refutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO131^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon May 20 09:12:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (31981)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (31987)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.37 % (31983)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.37 % (31984)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37 % (31986)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.37 % (31985)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)
% 0.13/0.37 % (31988)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.37 % (31989)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)
% 0.13/0.37 % (31986)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.13/0.37 % (31985)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.13/0.37 % Exception at run slice level
% 0.13/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.37 % Exception at run slice level
% 0.13/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.37 % Exception at run slice level
% 0.13/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.37 % (31987)First to succeed.
% 0.13/0.37 % Exception at run slice level
% 0.13/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.37 % (31987)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-31981"
% 0.13/0.37 % (31988)Also succeeded, but the first one will report.
% 0.13/0.37 % (31985)Also succeeded, but the first one will report.
% 0.13/0.37 % (31987)Refutation found. Thanks to Tanya!
% 0.13/0.37 % SZS status Theorem for theBenchmark
% 0.13/0.37 % SZS output start Proof for theBenchmark
% 0.13/0.37 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.13/0.37 thf(func_def_0, type, f: $i > $i).
% 0.13/0.37 thf(func_def_1, type, cR: $i > $i > $o).
% 0.13/0.37 thf(func_def_3, type, g: $i > $i).
% 0.13/0.37 thf(func_def_7, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
% 0.13/0.37 thf(func_def_8, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
% 0.13/0.37 thf(func_def_9, type, vAND: $o > $o > $o).
% 0.13/0.37 thf(func_def_10, type, vOR: $o > $o > $o).
% 0.13/0.37 thf(func_def_11, type, vIMP: $o > $o > $o).
% 0.13/0.37 thf(func_def_12, type, vNOT: $o > $o).
% 0.13/0.37 thf(func_def_13, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.13/0.37 thf(f44,plain,(
% 0.13/0.37 $false),
% 0.13/0.37 inference(trivial_inequality_removal,[],[f43])).
% 0.13/0.37 thf(f43,plain,(
% 0.13/0.37 ($true = $false)),
% 0.13/0.37 inference(forward_demodulation,[],[f8,f39])).
% 0.13/0.37 thf(f39,plain,(
% 0.13/0.37 ( ! [X0 : $i] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),vAPP($i,$i,f,X0)) = $false)) )),
% 0.13/0.37 inference(trivial_inequality_removal,[],[f38])).
% 0.13/0.37 thf(f38,plain,(
% 0.13/0.37 ( ! [X0 : $i] : (($true != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),vAPP($i,$i,f,X0)) = $false)) )),
% 0.13/0.37 inference(superposition,[],[f9,f4])).
% 0.13/0.37 thf(f4,plain,(
% 0.13/0.37 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.13/0.37 introduced(fool_axiom,[])).
% 0.13/0.37 thf(f9,plain,(
% 0.13/0.37 ( ! [X0 : $i] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),vAPP($i,$i,f,X0)) != $true)) )),
% 0.13/0.37 inference(cnf_transformation,[],[f7])).
% 0.13/0.37 thf(f7,plain,(
% 0.13/0.37 ! [X0] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),vAPP($i,$i,f,X0)) != $true) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,vAPP($i,$i,g,vAPP($i,$i,f,a))),vAPP($i,$i,f,vAPP($i,$i,g,vAPP($i,$i,f,a)))) = $true)),
% 0.13/0.37 inference(ennf_transformation,[],[f6])).
% 0.13/0.37 thf(f6,plain,(
% 0.13/0.37 ~((vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,vAPP($i,$i,g,vAPP($i,$i,f,a))),vAPP($i,$i,f,vAPP($i,$i,g,vAPP($i,$i,f,a)))) = $true) => ? [X0] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),vAPP($i,$i,f,X0)) = $true))),
% 0.13/0.37 inference(fool_elimination,[],[f5])).
% 0.13/0.37 thf(f5,plain,(
% 0.13/0.37 ~(vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,vAPP($i,$i,g,vAPP($i,$i,f,a))),vAPP($i,$i,f,vAPP($i,$i,g,vAPP($i,$i,f,a)))) => ? [X0] : vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),vAPP($i,$i,f,X0)))),
% 0.13/0.37 inference(rectify,[],[f2])).
% 0.13/0.37 thf(f2,negated_conjecture,(
% 0.13/0.37 ~(vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,vAPP($i,$i,g,vAPP($i,$i,f,a))),vAPP($i,$i,f,vAPP($i,$i,g,vAPP($i,$i,f,a)))) => ? [X0] : vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),vAPP($i,$i,f,X0)))),
% 0.13/0.37 inference(negated_conjecture,[],[f1])).
% 0.13/0.37 thf(f1,conjecture,(
% 0.13/0.37 vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,vAPP($i,$i,g,vAPP($i,$i,f,a))),vAPP($i,$i,f,vAPP($i,$i,g,vAPP($i,$i,f,a)))) => ? [X0] : vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,X0),vAPP($i,$i,f,X0))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cEXAMPLE1)).
% 0.13/0.37 thf(f8,plain,(
% 0.13/0.37 (vAPP($i,$o,vAPP($i,sTfun($i,$o),cR,vAPP($i,$i,g,vAPP($i,$i,f,a))),vAPP($i,$i,f,vAPP($i,$i,g,vAPP($i,$i,f,a)))) = $true)),
% 0.13/0.37 inference(cnf_transformation,[],[f7])).
% 0.13/0.37 % SZS output end Proof for theBenchmark
% 0.13/0.37 % (31987)------------------------------
% 0.13/0.37 % (31987)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37 % (31987)Termination reason: Refutation
% 0.13/0.37
% 0.13/0.37 % (31987)Memory used [KB]: 762
% 0.13/0.37 % (31987)Time elapsed: 0.004 s
% 0.13/0.37 % (31987)Instructions burned: 4 (million)
% 0.13/0.37 % (31981)Success in time 0.017 s
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