TSTP Solution File: SYO107^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO107^5 : 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 : n017.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 09:10:20 EDT 2024
% Result : Theorem 0.22s 0.38s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SYO107^5 : TPTP v8.2.0. Released v4.0.0.
% 0.14/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n017.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon May 20 10:33:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (10619)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (10626)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)
% 0.22/0.38 % Exception at run slice level
% 0.22/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.22/0.38 % (10621)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.38 % (10620)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.38 % (10623)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.22/0.38 % (10624)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.22/0.38 % (10625)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.22/0.38 % (10622)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)
% 0.22/0.38 % (10623)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.22/0.38 % Exception at run slice level% Exception at run slice level% Exception at run slice level
% 0.22/0.38
% 0.22/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructsUser error:
% 0.22/0.38 Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.22/0.38
% 0.22/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.22/0.38 % (10622)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.22/0.38 % (10624)First to succeed.
% 0.22/0.38 % (10625)Also succeeded, but the first one will report.
% 0.22/0.38 % (10622)Also succeeded, but the first one will report.
% 0.22/0.38 % (10624)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-10619"
% 0.22/0.38 % (10624)Refutation found. Thanks to Tanya!
% 0.22/0.38 % SZS status Theorem for theBenchmark
% 0.22/0.38 % SZS output start Proof for theBenchmark
% 0.22/0.38 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.22/0.38 thf(func_def_0, type, cP: $i > $o).
% 0.22/0.38 thf(func_def_5, type, sK1: $i > $i).
% 0.22/0.38 thf(func_def_8, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
% 0.22/0.38 thf(func_def_9, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
% 0.22/0.38 thf(func_def_10, type, vAND: $o > $o > $o).
% 0.22/0.38 thf(func_def_11, type, vOR: $o > $o > $o).
% 0.22/0.38 thf(func_def_12, type, vIMP: $o > $o > $o).
% 0.22/0.38 thf(func_def_13, type, vNOT: $o > $o).
% 0.22/0.38 thf(func_def_14, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.22/0.38 thf(f53,plain,(
% 0.22/0.38 $false),
% 0.22/0.38 inference(subsumption_resolution,[],[f52,f50])).
% 0.22/0.38 thf(f50,plain,(
% 0.22/0.38 ( ! [X0 : $i] : ((vAPP($i,$o,cP,X0) = $true)) )),
% 0.22/0.38 inference(trivial_inequality_removal,[],[f49])).
% 0.22/0.38 thf(f49,plain,(
% 0.22/0.38 ( ! [X0 : $i] : (($true != $true) | (vAPP($i,$o,cP,X0) = $true)) )),
% 0.22/0.38 inference(equality_factoring,[],[f16])).
% 0.22/0.38 thf(f16,plain,(
% 0.22/0.38 ( ! [X2 : $i,X0 : $i] : ((vAPP($i,$o,cP,X0) = $true) | ($true = vAPP($i,$o,cP,X2))) )),
% 0.22/0.38 inference(cnf_transformation,[],[f14])).
% 0.22/0.38 thf(f14,plain,(
% 0.22/0.38 (! [X0] : (($true != vAPP($i,$o,cP,sK0)) & (vAPP($i,$o,cP,X0) = $true)) | ! [X2] : (($true != vAPP($i,$o,cP,vAPP($i,$i,sK1,X2))) & ($true = vAPP($i,$o,cP,X2)))) & ((! [X5] : ($true = vAPP($i,$o,cP,X5)) | ($true != vAPP($i,$o,cP,sK2))) | ! [X7] : (($true = vAPP($i,$o,cP,X7)) | ($true != vAPP($i,$o,cP,sK3))))),
% 0.22/0.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f9,f13,f12,f11,f10])).
% 0.22/0.38 thf(f10,plain,(
% 0.22/0.38 ? [X1] : (vAPP($i,$o,cP,X1) != $true) => ($true != vAPP($i,$o,cP,sK0))),
% 0.22/0.38 introduced(choice_axiom,[])).
% 0.22/0.38 thf(f11,plain,(
% 0.22/0.38 ! [X2] : (? [X3] : (($true != vAPP($i,$o,cP,X3)) & ($true = vAPP($i,$o,cP,X2))) => (($true != vAPP($i,$o,cP,vAPP($i,$i,sK1,X2))) & ($true = vAPP($i,$o,cP,X2))))),
% 0.22/0.38 introduced(choice_axiom,[])).
% 0.22/0.38 thf(f12,plain,(
% 0.22/0.38 ? [X4] : (! [X5] : ($true = vAPP($i,$o,cP,X5)) | ($true != vAPP($i,$o,cP,X4))) => (! [X5] : ($true = vAPP($i,$o,cP,X5)) | ($true != vAPP($i,$o,cP,sK2)))),
% 0.22/0.38 introduced(choice_axiom,[])).
% 0.22/0.38 thf(f13,plain,(
% 0.22/0.38 ? [X6] : ! [X7] : (($true = vAPP($i,$o,cP,X7)) | ($true != vAPP($i,$o,cP,X6))) => ! [X7] : (($true = vAPP($i,$o,cP,X7)) | ($true != vAPP($i,$o,cP,sK3)))),
% 0.22/0.38 introduced(choice_axiom,[])).
% 0.22/0.38 thf(f9,plain,(
% 0.22/0.38 (! [X0] : (? [X1] : (vAPP($i,$o,cP,X1) != $true) & (vAPP($i,$o,cP,X0) = $true)) | ! [X2] : ? [X3] : (($true != vAPP($i,$o,cP,X3)) & ($true = vAPP($i,$o,cP,X2)))) & (? [X4] : (! [X5] : ($true = vAPP($i,$o,cP,X5)) | ($true != vAPP($i,$o,cP,X4))) | ? [X6] : ! [X7] : (($true = vAPP($i,$o,cP,X7)) | ($true != vAPP($i,$o,cP,X6))))),
% 0.22/0.38 inference(rectify,[],[f8])).
% 0.22/0.38 thf(f8,plain,(
% 0.22/0.38 (! [X2] : (? [X3] : ($true != vAPP($i,$o,cP,X3)) & ($true = vAPP($i,$o,cP,X2))) | ! [X0] : ? [X1] : ((vAPP($i,$o,cP,X1) != $true) & (vAPP($i,$o,cP,X0) = $true))) & (? [X2] : (! [X3] : ($true = vAPP($i,$o,cP,X3)) | ($true != vAPP($i,$o,cP,X2))) | ? [X0] : ! [X1] : ((vAPP($i,$o,cP,X1) = $true) | (vAPP($i,$o,cP,X0) != $true)))),
% 0.22/0.38 inference(nnf_transformation,[],[f7])).
% 0.22/0.38 thf(f7,plain,(
% 0.22/0.38 ? [X0] : ! [X1] : ((vAPP($i,$o,cP,X1) = $true) | (vAPP($i,$o,cP,X0) != $true)) <~> ? [X2] : (! [X3] : ($true = vAPP($i,$o,cP,X3)) | ($true != vAPP($i,$o,cP,X2)))),
% 0.22/0.38 inference(ennf_transformation,[],[f6])).
% 0.22/0.38 thf(f6,plain,(
% 0.22/0.38 ~(? [X0] : ! [X1] : ((vAPP($i,$o,cP,X0) = $true) => (vAPP($i,$o,cP,X1) = $true)) <=> ? [X2] : (($true = vAPP($i,$o,cP,X2)) => ! [X3] : ($true = vAPP($i,$o,cP,X3))))),
% 0.22/0.38 inference(fool_elimination,[],[f5])).
% 0.22/0.38 thf(f5,plain,(
% 0.22/0.38 ~(? [X0] : ! [X1] : (vAPP($i,$o,cP,X0) => vAPP($i,$o,cP,X1)) <=> ? [X2] : (vAPP($i,$o,cP,X2) => ! [X3] : vAPP($i,$o,cP,X3)))),
% 0.22/0.38 inference(rectify,[],[f2])).
% 0.22/0.38 thf(f2,negated_conjecture,(
% 0.22/0.38 ~(? [X0] : ! [X1] : (vAPP($i,$o,cP,X0) => vAPP($i,$o,cP,X1)) <=> ? [X0] : (vAPP($i,$o,cP,X0) => ! [X1] : vAPP($i,$o,cP,X1)))),
% 0.22/0.38 inference(negated_conjecture,[],[f1])).
% 0.22/0.38 thf(f1,conjecture,(
% 0.22/0.38 ? [X0] : ! [X1] : (vAPP($i,$o,cP,X0) => vAPP($i,$o,cP,X1)) <=> ? [X0] : (vAPP($i,$o,cP,X0) => ! [X1] : vAPP($i,$o,cP,X1))),
% 0.22/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM66)).
% 0.22/0.38 thf(f52,plain,(
% 0.22/0.38 ( ! [X2 : $i] : (($true != vAPP($i,$o,cP,vAPP($i,$i,sK1,X2)))) )),
% 0.22/0.38 inference(subsumption_resolution,[],[f19,f50])).
% 0.22/0.38 thf(f19,plain,(
% 0.22/0.38 ( ! [X2 : $i] : (($true != vAPP($i,$o,cP,sK0)) | ($true != vAPP($i,$o,cP,vAPP($i,$i,sK1,X2)))) )),
% 0.22/0.38 inference(cnf_transformation,[],[f14])).
% 0.22/0.38 % SZS output end Proof for theBenchmark
% 0.22/0.38 % (10624)------------------------------
% 0.22/0.38 % (10624)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.38 % (10624)Termination reason: Refutation
% 0.22/0.38
% 0.22/0.38 % (10624)Memory used [KB]: 756
% 0.22/0.38 % (10624)Time elapsed: 0.005 s
% 0.22/0.38 % (10624)Instructions burned: 4 (million)
% 0.22/0.38 % (10619)Success in time 0.017 s
%------------------------------------------------------------------------------