TSTP Solution File: SYN057^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN057^5 : 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 08:33:56 EDT 2024
% Result : Theorem 0.15s 0.39s
% Output : Refutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SYN057^5 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.15 % 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 15:37:37 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (22478)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (22479)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 % (22482)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38 % (22481)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)
% 0.15/0.38 % (22483)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38 % (22486)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)
% 0.15/0.38 % (22485)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38 % (22480)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.39 % (22481)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.15/0.39 % (22482)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.15/0.39 % Exception at run slice level
% 0.15/0.39 % Exception at run slice levelUser error:
% 0.15/0.39 Finite model buillding is currently not compatible with polymorphism or higher-order constructs% Exception at run slice level
% 0.15/0.39
% 0.15/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.39 % Exception at run slice level
% 0.15/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.39 % (22481)First to succeed.
% 0.15/0.39 % (22485)Also succeeded, but the first one will report.
% 0.15/0.39 % (22483)Also succeeded, but the first one will report.
% 0.15/0.39 % (22481)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22478"
% 0.15/0.39 % (22481)Refutation found. Thanks to Tanya!
% 0.15/0.39 % SZS status Theorem for theBenchmark
% 0.15/0.39 % SZS output start Proof for theBenchmark
% 0.15/0.39 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.15/0.39 thf(func_def_0, type, cI: $i > $o).
% 0.15/0.39 thf(func_def_1, type, cJ: $i > $o).
% 0.15/0.39 thf(func_def_2, type, cH: $i > $o).
% 0.15/0.39 thf(func_def_3, type, cG: $i > $o).
% 0.15/0.39 thf(func_def_4, type, cF: $i > $o).
% 0.15/0.39 thf(func_def_11, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
% 0.15/0.39 thf(func_def_12, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
% 0.15/0.39 thf(func_def_13, type, vAND: $o > $o > $o).
% 0.15/0.39 thf(func_def_14, type, vOR: $o > $o > $o).
% 0.15/0.39 thf(func_def_15, type, vIMP: $o > $o > $o).
% 0.15/0.39 thf(func_def_16, type, vNOT: $o > $o).
% 0.15/0.39 thf(func_def_17, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.15/0.39 thf(f95,plain,(
% 0.15/0.39 $false),
% 0.15/0.39 inference(avatar_sat_refutation,[],[f72,f85,f94])).
% 0.15/0.39 thf(f94,plain,(
% 0.15/0.39 ~spl2_1),
% 0.15/0.39 inference(avatar_contradiction_clause,[],[f93])).
% 0.15/0.39 thf(f93,plain,(
% 0.15/0.39 $false | ~spl2_1),
% 0.15/0.39 inference(trivial_inequality_removal,[],[f90])).
% 0.15/0.39 thf(f90,plain,(
% 0.15/0.39 ($true != $true) | ~spl2_1),
% 0.15/0.39 inference(superposition,[],[f88,f54])).
% 0.15/0.39 thf(f54,plain,(
% 0.15/0.39 ($true = vAPP($i,$o,cH,sK1))),
% 0.15/0.39 inference(trivial_inequality_removal,[],[f51])).
% 0.15/0.39 thf(f51,plain,(
% 0.15/0.39 ($true != $true) | ($true = vAPP($i,$o,cH,sK1))),
% 0.15/0.39 inference(superposition,[],[f16,f14])).
% 0.15/0.39 thf(f14,plain,(
% 0.15/0.39 ($true = vAPP($i,$o,cF,sK1))),
% 0.15/0.39 inference(cnf_transformation,[],[f13])).
% 0.15/0.39 thf(f13,plain,(
% 0.15/0.39 (($true = vAPP($i,$o,cI,sK0)) & ($true = vAPP($i,$o,cJ,sK0))) & (! [X1] : (($true != vAPP($i,$o,cH,X1)) | ($true != vAPP($i,$o,cI,X1))) | ! [X2] : (($true = vAPP($i,$o,cG,X2)) | ($true != vAPP($i,$o,cH,X2)))) & ! [X3] : (($true = vAPP($i,$o,cF,X3)) | ($true != vAPP($i,$o,cI,X3)) | ($true != vAPP($i,$o,cJ,X3))) & ! [X4] : (($true = vAPP($i,$o,cH,X4)) | ($true != vAPP($i,$o,cF,X4))) & (($true != vAPP($i,$o,cG,sK1)) & ($true = vAPP($i,$o,cF,sK1)))),
% 0.15/0.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f10,f12,f11])).
% 0.15/0.39 thf(f11,plain,(
% 0.15/0.39 ? [X0] : ((vAPP($i,$o,cI,X0) = $true) & (vAPP($i,$o,cJ,X0) = $true)) => (($true = vAPP($i,$o,cI,sK0)) & ($true = vAPP($i,$o,cJ,sK0)))),
% 0.15/0.39 introduced(choice_axiom,[])).
% 0.15/0.39 thf(f12,plain,(
% 0.15/0.39 ? [X5] : (($true != vAPP($i,$o,cG,X5)) & ($true = vAPP($i,$o,cF,X5))) => (($true != vAPP($i,$o,cG,sK1)) & ($true = vAPP($i,$o,cF,sK1)))),
% 0.15/0.39 introduced(choice_axiom,[])).
% 0.15/0.39 thf(f10,plain,(
% 0.15/0.39 ? [X0] : ((vAPP($i,$o,cI,X0) = $true) & (vAPP($i,$o,cJ,X0) = $true)) & (! [X1] : (($true != vAPP($i,$o,cH,X1)) | ($true != vAPP($i,$o,cI,X1))) | ! [X2] : (($true = vAPP($i,$o,cG,X2)) | ($true != vAPP($i,$o,cH,X2)))) & ! [X3] : (($true = vAPP($i,$o,cF,X3)) | ($true != vAPP($i,$o,cI,X3)) | ($true != vAPP($i,$o,cJ,X3))) & ! [X4] : (($true = vAPP($i,$o,cH,X4)) | ($true != vAPP($i,$o,cF,X4))) & ? [X5] : (($true != vAPP($i,$o,cG,X5)) & ($true = vAPP($i,$o,cF,X5)))),
% 0.15/0.39 inference(rectify,[],[f9])).
% 0.15/0.39 thf(f9,plain,(
% 0.15/0.39 ? [X5] : (($true = vAPP($i,$o,cI,X5)) & ($true = vAPP($i,$o,cJ,X5))) & (! [X1] : (($true != vAPP($i,$o,cH,X1)) | ($true != vAPP($i,$o,cI,X1))) | ! [X0] : ((vAPP($i,$o,cG,X0) = $true) | (vAPP($i,$o,cH,X0) != $true))) & ! [X2] : (($true = vAPP($i,$o,cF,X2)) | ($true != vAPP($i,$o,cI,X2)) | ($true != vAPP($i,$o,cJ,X2))) & ! [X3] : (($true = vAPP($i,$o,cH,X3)) | ($true != vAPP($i,$o,cF,X3))) & ? [X4] : (($true != vAPP($i,$o,cG,X4)) & ($true = vAPP($i,$o,cF,X4)))),
% 0.15/0.39 inference(flattening,[],[f8])).
% 0.15/0.39 thf(f8,plain,(
% 0.15/0.39 ? [X5] : (($true = vAPP($i,$o,cI,X5)) & ($true = vAPP($i,$o,cJ,X5))) & ((! [X1] : (($true != vAPP($i,$o,cH,X1)) | ($true != vAPP($i,$o,cI,X1))) | ! [X0] : ((vAPP($i,$o,cG,X0) = $true) | (vAPP($i,$o,cH,X0) != $true))) & ! [X2] : (($true = vAPP($i,$o,cF,X2)) | (($true != vAPP($i,$o,cI,X2)) | ($true != vAPP($i,$o,cJ,X2)))) & ! [X3] : (($true = vAPP($i,$o,cH,X3)) | ($true != vAPP($i,$o,cF,X3))) & ? [X4] : (($true != vAPP($i,$o,cG,X4)) & ($true = vAPP($i,$o,cF,X4))))),
% 0.15/0.39 inference(ennf_transformation,[],[f7])).
% 0.15/0.39 thf(f7,plain,(
% 0.15/0.39 ~(((? [X0] : ((vAPP($i,$o,cG,X0) != $true) & (vAPP($i,$o,cH,X0) = $true)) => ! [X1] : (($true = vAPP($i,$o,cI,X1)) => ($true != vAPP($i,$o,cH,X1)))) & ! [X2] : ((($true = vAPP($i,$o,cI,X2)) & ($true = vAPP($i,$o,cJ,X2))) => ($true = vAPP($i,$o,cF,X2))) & ! [X3] : (($true = vAPP($i,$o,cF,X3)) => ($true = vAPP($i,$o,cH,X3))) & ? [X4] : (($true != vAPP($i,$o,cG,X4)) & ($true = vAPP($i,$o,cF,X4)))) => ! [X5] : (($true = vAPP($i,$o,cJ,X5)) => ($true != vAPP($i,$o,cI,X5))))),
% 0.15/0.39 inference(flattening,[],[f6])).
% 0.15/0.39 thf(f6,plain,(
% 0.15/0.39 ~(((? [X0] : (~(vAPP($i,$o,cG,X0) = $true) & (vAPP($i,$o,cH,X0) = $true)) => ! [X1] : (($true = vAPP($i,$o,cI,X1)) => ~($true = vAPP($i,$o,cH,X1)))) & ! [X2] : ((($true = vAPP($i,$o,cI,X2)) & ($true = vAPP($i,$o,cJ,X2))) => ($true = vAPP($i,$o,cF,X2))) & ! [X3] : (($true = vAPP($i,$o,cF,X3)) => ($true = vAPP($i,$o,cH,X3))) & ? [X4] : (~($true = vAPP($i,$o,cG,X4)) & ($true = vAPP($i,$o,cF,X4)))) => ! [X5] : (($true = vAPP($i,$o,cJ,X5)) => ~($true = vAPP($i,$o,cI,X5))))),
% 0.15/0.39 inference(fool_elimination,[],[f5])).
% 0.15/0.39 thf(f5,plain,(
% 0.15/0.39 ~(((? [X0] : (~vAPP($i,$o,cG,X0) & vAPP($i,$o,cH,X0)) => ! [X1] : (vAPP($i,$o,cI,X1) => ~vAPP($i,$o,cH,X1))) & ! [X2] : ((vAPP($i,$o,cI,X2) & vAPP($i,$o,cJ,X2)) => vAPP($i,$o,cF,X2)) & ! [X3] : (vAPP($i,$o,cF,X3) => vAPP($i,$o,cH,X3)) & ? [X4] : (~vAPP($i,$o,cG,X4) & vAPP($i,$o,cF,X4))) => ! [X5] : (vAPP($i,$o,cJ,X5) => ~vAPP($i,$o,cI,X5)))),
% 0.15/0.39 inference(rectify,[],[f2])).
% 0.15/0.39 thf(f2,negated_conjecture,(
% 0.15/0.39 ~(((? [X0] : (~vAPP($i,$o,cG,X0) & vAPP($i,$o,cH,X0)) => ! [X0] : (vAPP($i,$o,cI,X0) => ~vAPP($i,$o,cH,X0))) & ! [X0] : ((vAPP($i,$o,cI,X0) & vAPP($i,$o,cJ,X0)) => vAPP($i,$o,cF,X0)) & ! [X0] : (vAPP($i,$o,cF,X0) => vAPP($i,$o,cH,X0)) & ? [X0] : (~vAPP($i,$o,cG,X0) & vAPP($i,$o,cF,X0))) => ! [X0] : (vAPP($i,$o,cJ,X0) => ~vAPP($i,$o,cI,X0)))),
% 0.15/0.39 inference(negated_conjecture,[],[f1])).
% 0.15/0.39 thf(f1,conjecture,(
% 0.15/0.39 ((? [X0] : (~vAPP($i,$o,cG,X0) & vAPP($i,$o,cH,X0)) => ! [X0] : (vAPP($i,$o,cI,X0) => ~vAPP($i,$o,cH,X0))) & ! [X0] : ((vAPP($i,$o,cI,X0) & vAPP($i,$o,cJ,X0)) => vAPP($i,$o,cF,X0)) & ! [X0] : (vAPP($i,$o,cF,X0) => vAPP($i,$o,cH,X0)) & ? [X0] : (~vAPP($i,$o,cG,X0) & vAPP($i,$o,cF,X0))) => ! [X0] : (vAPP($i,$o,cJ,X0) => ~vAPP($i,$o,cI,X0))),
% 0.15/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cPELL27)).
% 0.15/0.39 thf(f16,plain,(
% 0.15/0.39 ( ! [X4 : $i] : (($true != vAPP($i,$o,cF,X4)) | ($true = vAPP($i,$o,cH,X4))) )),
% 0.15/0.39 inference(cnf_transformation,[],[f13])).
% 0.15/0.39 thf(f88,plain,(
% 0.15/0.39 ($true != vAPP($i,$o,cH,sK1)) | ~spl2_1),
% 0.15/0.39 inference(trivial_inequality_removal,[],[f87])).
% 0.15/0.39 thf(f87,plain,(
% 0.15/0.39 ($true = $false) | ($true != vAPP($i,$o,cH,sK1)) | ~spl2_1),
% 0.15/0.39 inference(superposition,[],[f32,f68])).
% 0.15/0.39 thf(f68,plain,(
% 0.15/0.39 ( ! [X2 : $i] : (($true = vAPP($i,$o,cG,X2)) | ($true != vAPP($i,$o,cH,X2))) ) | ~spl2_1),
% 0.15/0.39 inference(avatar_component_clause,[],[f67])).
% 0.15/0.39 thf(f67,plain,(
% 0.15/0.39 spl2_1 <=> ! [X2] : (($true = vAPP($i,$o,cG,X2)) | ($true != vAPP($i,$o,cH,X2)))),
% 0.15/0.39 introduced(avatar_definition,[new_symbols(naming,[spl2_1])])).
% 0.15/0.39 thf(f32,plain,(
% 0.15/0.39 ($false = vAPP($i,$o,cG,sK1))),
% 0.15/0.39 inference(trivial_inequality_removal,[],[f30])).
% 0.15/0.39 thf(f30,plain,(
% 0.15/0.39 ($true != $true) | ($false = vAPP($i,$o,cG,sK1))),
% 0.15/0.39 inference(superposition,[],[f15,f4])).
% 0.15/0.39 thf(f4,plain,(
% 0.15/0.39 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.15/0.39 introduced(fool_axiom,[])).
% 0.15/0.39 thf(f15,plain,(
% 0.15/0.39 ($true != vAPP($i,$o,cG,sK1))),
% 0.15/0.39 inference(cnf_transformation,[],[f13])).
% 0.15/0.39 thf(f85,plain,(
% 0.15/0.39 ~spl2_2),
% 0.15/0.39 inference(avatar_contradiction_clause,[],[f84])).
% 0.15/0.39 thf(f84,plain,(
% 0.15/0.39 $false | ~spl2_2),
% 0.15/0.39 inference(trivial_inequality_removal,[],[f81])).
% 0.15/0.39 thf(f81,plain,(
% 0.15/0.39 ($true != $true) | ~spl2_2),
% 0.15/0.39 inference(superposition,[],[f77,f20])).
% 0.15/0.39 thf(f20,plain,(
% 0.15/0.39 ($true = vAPP($i,$o,cI,sK0))),
% 0.15/0.39 inference(cnf_transformation,[],[f13])).
% 0.15/0.39 thf(f77,plain,(
% 0.15/0.39 ($true != vAPP($i,$o,cI,sK0)) | ~spl2_2),
% 0.15/0.39 inference(trivial_inequality_removal,[],[f74])).
% 0.15/0.39 thf(f74,plain,(
% 0.15/0.39 ($true != $true) | ($true != vAPP($i,$o,cI,sK0)) | ~spl2_2),
% 0.15/0.39 inference(superposition,[],[f71,f65])).
% 0.15/0.39 thf(f65,plain,(
% 0.15/0.39 ($true = vAPP($i,$o,cH,sK0))),
% 0.15/0.39 inference(trivial_inequality_removal,[],[f64])).
% 0.15/0.39 thf(f64,plain,(
% 0.15/0.39 ($true != $true) | ($true = vAPP($i,$o,cH,sK0))),
% 0.15/0.39 inference(superposition,[],[f16,f63])).
% 0.15/0.39 thf(f63,plain,(
% 0.15/0.39 ($true = vAPP($i,$o,cF,sK0))),
% 0.15/0.39 inference(trivial_inequality_removal,[],[f62])).
% 0.15/0.39 thf(f62,plain,(
% 0.15/0.39 ($true != $true) | ($true = vAPP($i,$o,cF,sK0))),
% 0.15/0.39 inference(forward_demodulation,[],[f61,f20])).
% 0.15/0.39 thf(f61,plain,(
% 0.15/0.39 ($true != vAPP($i,$o,cI,sK0)) | ($true = vAPP($i,$o,cF,sK0))),
% 0.15/0.39 inference(trivial_inequality_removal,[],[f58])).
% 0.15/0.39 thf(f58,plain,(
% 0.15/0.39 ($true != $true) | ($true != vAPP($i,$o,cI,sK0)) | ($true = vAPP($i,$o,cF,sK0))),
% 0.15/0.39 inference(superposition,[],[f17,f19])).
% 0.15/0.39 thf(f19,plain,(
% 0.15/0.39 ($true = vAPP($i,$o,cJ,sK0))),
% 0.15/0.39 inference(cnf_transformation,[],[f13])).
% 0.15/0.39 thf(f17,plain,(
% 0.15/0.39 ( ! [X3 : $i] : (($true != vAPP($i,$o,cJ,X3)) | ($true != vAPP($i,$o,cI,X3)) | ($true = vAPP($i,$o,cF,X3))) )),
% 0.15/0.39 inference(cnf_transformation,[],[f13])).
% 0.15/0.39 thf(f71,plain,(
% 0.15/0.39 ( ! [X1 : $i] : (($true != vAPP($i,$o,cH,X1)) | ($true != vAPP($i,$o,cI,X1))) ) | ~spl2_2),
% 0.15/0.39 inference(avatar_component_clause,[],[f70])).
% 0.15/0.39 thf(f70,plain,(
% 0.15/0.39 spl2_2 <=> ! [X1] : (($true != vAPP($i,$o,cH,X1)) | ($true != vAPP($i,$o,cI,X1)))),
% 0.15/0.39 introduced(avatar_definition,[new_symbols(naming,[spl2_2])])).
% 0.15/0.39 thf(f72,plain,(
% 0.15/0.39 spl2_1 | spl2_2),
% 0.15/0.39 inference(avatar_split_clause,[],[f18,f70,f67])).
% 0.15/0.39 thf(f18,plain,(
% 0.15/0.39 ( ! [X2 : $i,X1 : $i] : (($true != vAPP($i,$o,cH,X1)) | ($true != vAPP($i,$o,cI,X1)) | ($true = vAPP($i,$o,cG,X2)) | ($true != vAPP($i,$o,cH,X2))) )),
% 0.15/0.39 inference(cnf_transformation,[],[f13])).
% 0.15/0.39 % SZS output end Proof for theBenchmark
% 0.15/0.39 % (22481)------------------------------
% 0.15/0.39 % (22481)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.39 % (22481)Termination reason: Refutation
% 0.15/0.39
% 0.15/0.39 % (22481)Memory used [KB]: 774
% 0.15/0.39 % (22481)Time elapsed: 0.007 s
% 0.15/0.39 % (22481)Instructions burned: 8 (million)
% 0.15/0.39 % (22478)Success in time 0.023 s
%------------------------------------------------------------------------------