TSTP Solution File: SYN355^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN355^5 : 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 : n005.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 08:35:11 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
% 0.11/0.12 % Problem : SYN355^5 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n005.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 14:15:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (19043)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (19045)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37 % (19044)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.37 % (19046)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 % (19047)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 % (19048)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.37 % (19049)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.37 % (19050)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 % (19046)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.13/0.37 % (19047)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.13/0.37 % Exception at run slice level% 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
% 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 % (19048)Also succeeded, but the first one will report.
% 0.13/0.37 % (19046)First to succeed.
% 0.13/0.37 % (19049)Also succeeded, but the first one will report.
% 0.13/0.37 % (19046)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19043"
% 0.13/0.37 % (19046)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, cQ: $i > $o).
% 0.13/0.37 thf(func_def_1, type, cP: $i > $o).
% 0.13/0.37 thf(func_def_2, type, cR: $i > $o).
% 0.13/0.37 thf(func_def_8, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
% 0.13/0.37 thf(func_def_9, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
% 0.13/0.37 thf(func_def_10, type, vAND: $o > $o > $o).
% 0.13/0.37 thf(func_def_11, type, vOR: $o > $o > $o).
% 0.13/0.37 thf(func_def_12, type, vIMP: $o > $o > $o).
% 0.13/0.37 thf(func_def_13, type, vNOT: $o > $o).
% 0.13/0.37 thf(func_def_14, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.13/0.37 thf(f72,plain,(
% 0.13/0.37 $false),
% 0.13/0.37 inference(trivial_inequality_removal,[],[f71])).
% 0.13/0.37 thf(f71,plain,(
% 0.13/0.37 ($true = $false)),
% 0.13/0.37 inference(forward_demodulation,[],[f70,f29])).
% 0.13/0.37 thf(f29,plain,(
% 0.13/0.37 ($false = vAPP($i,$o,cQ,sK0))),
% 0.13/0.37 inference(trivial_inequality_removal,[],[f27])).
% 0.13/0.37 thf(f27,plain,(
% 0.13/0.37 ($true != $true) | ($false = vAPP($i,$o,cQ,sK0))),
% 0.13/0.38 inference(superposition,[],[f16,f4])).
% 0.13/0.38 thf(f4,plain,(
% 0.13/0.38 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.13/0.38 introduced(fool_axiom,[])).
% 0.13/0.38 thf(f16,plain,(
% 0.13/0.38 ($true != vAPP($i,$o,cQ,sK0))),
% 0.13/0.38 inference(cnf_transformation,[],[f12])).
% 0.13/0.38 thf(f12,plain,(
% 0.13/0.38 (($true != vAPP($i,$o,cQ,sK0)) & ($true != vAPP($i,$o,cP,sK0))) & ! [X1] : (($true = vAPP($i,$o,cR,X1)) | ($true = vAPP($i,$o,cQ,X1))) & ! [X2] : (($true = vAPP($i,$o,cP,X2)) | ($true != vAPP($i,$o,cR,X2)))),
% 0.13/0.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f10,f11])).
% 0.13/0.38 thf(f11,plain,(
% 0.13/0.38 ? [X0] : ((vAPP($i,$o,cQ,X0) != $true) & (vAPP($i,$o,cP,X0) != $true)) => (($true != vAPP($i,$o,cQ,sK0)) & ($true != vAPP($i,$o,cP,sK0)))),
% 0.13/0.38 introduced(choice_axiom,[])).
% 0.13/0.38 thf(f10,plain,(
% 0.13/0.38 ? [X0] : ((vAPP($i,$o,cQ,X0) != $true) & (vAPP($i,$o,cP,X0) != $true)) & ! [X1] : (($true = vAPP($i,$o,cR,X1)) | ($true = vAPP($i,$o,cQ,X1))) & ! [X2] : (($true = vAPP($i,$o,cP,X2)) | ($true != vAPP($i,$o,cR,X2)))),
% 0.13/0.38 inference(rectify,[],[f9])).
% 0.13/0.38 thf(f9,plain,(
% 0.13/0.38 ? [X2] : (($true != vAPP($i,$o,cQ,X2)) & ($true != vAPP($i,$o,cP,X2))) & ! [X0] : ((vAPP($i,$o,cR,X0) = $true) | (vAPP($i,$o,cQ,X0) = $true)) & ! [X1] : (($true = vAPP($i,$o,cP,X1)) | ($true != vAPP($i,$o,cR,X1)))),
% 0.13/0.38 inference(flattening,[],[f8])).
% 0.13/0.38 thf(f8,plain,(
% 0.13/0.38 ? [X2] : (($true != vAPP($i,$o,cQ,X2)) & ($true != vAPP($i,$o,cP,X2))) & (! [X0] : ((vAPP($i,$o,cR,X0) = $true) | (vAPP($i,$o,cQ,X0) = $true)) & ! [X1] : (($true = vAPP($i,$o,cP,X1)) | ($true != vAPP($i,$o,cR,X1))))),
% 0.13/0.38 inference(ennf_transformation,[],[f7])).
% 0.13/0.38 thf(f7,plain,(
% 0.13/0.38 ~((! [X0] : ((vAPP($i,$o,cQ,X0) != $true) => (vAPP($i,$o,cR,X0) = $true)) & ! [X1] : (($true = vAPP($i,$o,cR,X1)) => ($true = vAPP($i,$o,cP,X1)))) => ! [X2] : (($true = vAPP($i,$o,cQ,X2)) | ($true = vAPP($i,$o,cP,X2))))),
% 0.13/0.38 inference(flattening,[],[f6])).
% 0.13/0.38 thf(f6,plain,(
% 0.13/0.38 ~((! [X0] : (~(vAPP($i,$o,cQ,X0) = $true) => (vAPP($i,$o,cR,X0) = $true)) & ! [X1] : (($true = vAPP($i,$o,cR,X1)) => ($true = vAPP($i,$o,cP,X1)))) => ! [X2] : (($true = vAPP($i,$o,cQ,X2)) | ($true = vAPP($i,$o,cP,X2))))),
% 0.13/0.38 inference(fool_elimination,[],[f5])).
% 0.13/0.38 thf(f5,plain,(
% 0.13/0.38 ~((! [X0] : (~vAPP($i,$o,cQ,X0) => vAPP($i,$o,cR,X0)) & ! [X1] : (vAPP($i,$o,cR,X1) => vAPP($i,$o,cP,X1))) => ! [X2] : (vAPP($i,$o,cQ,X2) | vAPP($i,$o,cP,X2)))),
% 0.13/0.38 inference(rectify,[],[f2])).
% 0.13/0.38 thf(f2,negated_conjecture,(
% 0.13/0.38 ~((! [X0] : (~vAPP($i,$o,cQ,X0) => vAPP($i,$o,cR,X0)) & ! [X0] : (vAPP($i,$o,cR,X0) => vAPP($i,$o,cP,X0))) => ! [X0] : (vAPP($i,$o,cQ,X0) | vAPP($i,$o,cP,X0)))),
% 0.13/0.38 inference(negated_conjecture,[],[f1])).
% 0.13/0.38 thf(f1,conjecture,(
% 0.13/0.38 (! [X0] : (~vAPP($i,$o,cQ,X0) => vAPP($i,$o,cR,X0)) & ! [X0] : (vAPP($i,$o,cR,X0) => vAPP($i,$o,cP,X0))) => ! [X0] : (vAPP($i,$o,cQ,X0) | vAPP($i,$o,cP,X0))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cX2106)).
% 0.13/0.38 thf(f70,plain,(
% 0.13/0.38 ($true = vAPP($i,$o,cQ,sK0))),
% 0.13/0.38 inference(trivial_inequality_removal,[],[f67])).
% 0.13/0.38 thf(f67,plain,(
% 0.13/0.38 ($true = $false) | ($true = vAPP($i,$o,cQ,sK0))),
% 0.13/0.38 inference(superposition,[],[f58,f30])).
% 0.13/0.38 thf(f30,plain,(
% 0.13/0.38 ($false = vAPP($i,$o,cP,sK0))),
% 0.13/0.38 inference(trivial_inequality_removal,[],[f26])).
% 0.13/0.38 thf(f26,plain,(
% 0.13/0.38 ($true != $true) | ($false = vAPP($i,$o,cP,sK0))),
% 0.13/0.38 inference(superposition,[],[f15,f4])).
% 0.13/0.38 thf(f15,plain,(
% 0.13/0.38 ($true != vAPP($i,$o,cP,sK0))),
% 0.13/0.38 inference(cnf_transformation,[],[f12])).
% 0.13/0.38 thf(f58,plain,(
% 0.13/0.38 ( ! [X0 : $i] : ((vAPP($i,$o,cP,X0) = $true) | (vAPP($i,$o,cQ,X0) = $true)) )),
% 0.13/0.38 inference(trivial_inequality_removal,[],[f57])).
% 0.13/0.38 thf(f57,plain,(
% 0.13/0.38 ( ! [X0 : $i] : (($true != $true) | (vAPP($i,$o,cP,X0) = $true) | (vAPP($i,$o,cQ,X0) = $true)) )),
% 0.13/0.38 inference(superposition,[],[f13,f14])).
% 0.13/0.38 thf(f14,plain,(
% 0.13/0.38 ( ! [X1 : $i] : (($true = vAPP($i,$o,cR,X1)) | ($true = vAPP($i,$o,cQ,X1))) )),
% 0.13/0.38 inference(cnf_transformation,[],[f12])).
% 0.13/0.38 thf(f13,plain,(
% 0.13/0.38 ( ! [X2 : $i] : (($true != vAPP($i,$o,cR,X2)) | ($true = vAPP($i,$o,cP,X2))) )),
% 0.13/0.38 inference(cnf_transformation,[],[f12])).
% 0.13/0.38 % SZS output end Proof for theBenchmark
% 0.13/0.38 % (19046)------------------------------
% 0.13/0.38 % (19046)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.38 % (19046)Termination reason: Refutation
% 0.13/0.38
% 0.13/0.38 % (19046)Memory used [KB]: 767
% 0.13/0.38 % (19046)Time elapsed: 0.005 s
% 0.13/0.38 % (19046)Instructions burned: 5 (million)
% 0.13/0.38 % (19043)Success in time 0.012 s
%------------------------------------------------------------------------------