TSTP Solution File: SEV413^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEV413^5 : 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 : n003.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 04:15:44 EDT 2024
% Result : Theorem 0.15s 0.38s
% Output : Refutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SEV413^5 : TPTP v8.2.0. Released v4.0.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n003.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 : Sun May 19 19:20:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (21004)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (21005)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 % (21006)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (21007)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 % (21009)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38 % (21010)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38 % (21008)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 % (21011)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 % (21007)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.15/0.38 % Exception at run slice level% (21008)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.15/0.38
% 0.15/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.38 % Exception at run slice level
% 0.15/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.38 % Exception at run slice level
% 0.15/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.38 % Exception at run slice level
% 0.15/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.38 % (21010)First to succeed.
% 0.15/0.38 % (21007)Also succeeded, but the first one will report.
% 0.15/0.38 % (21009)Also succeeded, but the first one will report.
% 0.15/0.38 % (21010)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21004"
% 0.15/0.38 % (21010)Refutation found. Thanks to Tanya!
% 0.15/0.38 % SZS status Theorem for theBenchmark
% 0.15/0.38 % SZS output start Proof for theBenchmark
% 0.15/0.38 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.15/0.38 thf(func_def_0, type, cB: $i > $o).
% 0.15/0.38 thf(func_def_1, type, cA: $i > $o).
% 0.15/0.38 thf(func_def_8, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
% 0.15/0.38 thf(func_def_9, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
% 0.15/0.38 thf(func_def_10, type, vAND: $o > $o > $o).
% 0.15/0.38 thf(func_def_11, type, vOR: $o > $o > $o).
% 0.15/0.38 thf(func_def_12, type, vIMP: $o > $o > $o).
% 0.15/0.38 thf(func_def_13, type, vNOT: $o > $o).
% 0.15/0.38 thf(func_def_14, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.15/0.38 thf(f89,plain,(
% 0.15/0.38 $false),
% 0.15/0.38 inference(avatar_sat_refutation,[],[f25,f30,f35,f36,f40,f80,f88])).
% 0.15/0.38 thf(f88,plain,(
% 0.15/0.38 spl2_2 | ~spl2_4 | ~spl2_5),
% 0.15/0.38 inference(avatar_contradiction_clause,[],[f87])).
% 0.15/0.38 thf(f87,plain,(
% 0.15/0.38 $false | (spl2_2 | ~spl2_4 | ~spl2_5)),
% 0.15/0.38 inference(subsumption_resolution,[],[f86,f24])).
% 0.15/0.38 thf(f24,plain,(
% 0.15/0.38 ($true != vAPP($i,$o,cB,sK0)) | spl2_2),
% 0.15/0.38 inference(avatar_component_clause,[],[f22])).
% 0.15/0.38 thf(f22,plain,(
% 0.15/0.38 spl2_2 <=> ($true = vAPP($i,$o,cB,sK0))),
% 0.15/0.38 introduced(avatar_definition,[new_symbols(naming,[spl2_2])])).
% 0.15/0.38 thf(f86,plain,(
% 0.15/0.38 ($true = vAPP($i,$o,cB,sK0)) | (~spl2_4 | ~spl2_5)),
% 0.15/0.38 inference(trivial_inequality_removal,[],[f85])).
% 0.15/0.38 thf(f85,plain,(
% 0.15/0.38 ($true != $true) | ($true = vAPP($i,$o,cB,sK0)) | (~spl2_4 | ~spl2_5)),
% 0.15/0.38 inference(superposition,[],[f39,f34])).
% 0.15/0.38 thf(f34,plain,(
% 0.15/0.38 ($true = vAPP($i,$o,cA,sK0)) | ~spl2_4),
% 0.15/0.38 inference(avatar_component_clause,[],[f32])).
% 0.15/0.38 thf(f32,plain,(
% 0.15/0.38 spl2_4 <=> ($true = vAPP($i,$o,cA,sK0))),
% 0.15/0.38 introduced(avatar_definition,[new_symbols(naming,[spl2_4])])).
% 0.15/0.38 thf(f39,plain,(
% 0.15/0.38 ( ! [X3 : $i] : (($true != vAPP($i,$o,cA,X3)) | ($true = vAPP($i,$o,cB,X3))) ) | ~spl2_5),
% 0.15/0.38 inference(avatar_component_clause,[],[f38])).
% 0.15/0.38 thf(f38,plain,(
% 0.15/0.38 spl2_5 <=> ! [X3] : (($true = vAPP($i,$o,cB,X3)) | ($true != vAPP($i,$o,cA,X3)))),
% 0.15/0.38 introduced(avatar_definition,[new_symbols(naming,[spl2_5])])).
% 0.15/0.38 thf(f80,plain,(
% 0.15/0.38 spl2_1 | ~spl2_3 | ~spl2_5),
% 0.15/0.38 inference(avatar_contradiction_clause,[],[f79])).
% 0.15/0.38 thf(f79,plain,(
% 0.15/0.38 $false | (spl2_1 | ~spl2_3 | ~spl2_5)),
% 0.15/0.38 inference(trivial_inequality_removal,[],[f78])).
% 0.15/0.38 thf(f78,plain,(
% 0.15/0.38 ($true = $false) | (spl2_1 | ~spl2_3 | ~spl2_5)),
% 0.15/0.38 inference(forward_demodulation,[],[f77,f70])).
% 0.15/0.38 thf(f70,plain,(
% 0.15/0.38 ($false = vAPP($i,$o,cB,sK1)) | spl2_1),
% 0.15/0.38 inference(trivial_inequality_removal,[],[f69])).
% 0.15/0.38 thf(f69,plain,(
% 0.15/0.38 ($true != $true) | ($false = vAPP($i,$o,cB,sK1)) | spl2_1),
% 0.15/0.38 inference(superposition,[],[f20,f4])).
% 0.15/0.38 thf(f4,plain,(
% 0.15/0.38 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.15/0.38 introduced(fool_axiom,[])).
% 0.15/0.38 thf(f20,plain,(
% 0.15/0.38 ($true != vAPP($i,$o,cB,sK1)) | spl2_1),
% 0.15/0.38 inference(avatar_component_clause,[],[f18])).
% 0.15/0.38 thf(f18,plain,(
% 0.15/0.38 spl2_1 <=> ($true = vAPP($i,$o,cB,sK1))),
% 0.15/0.38 introduced(avatar_definition,[new_symbols(naming,[spl2_1])])).
% 0.15/0.38 thf(f77,plain,(
% 0.15/0.38 ($true = vAPP($i,$o,cB,sK1)) | (~spl2_3 | ~spl2_5)),
% 0.15/0.38 inference(trivial_inequality_removal,[],[f74])).
% 0.15/0.38 thf(f74,plain,(
% 0.15/0.38 ($true != $true) | ($true = vAPP($i,$o,cB,sK1)) | (~spl2_3 | ~spl2_5)),
% 0.15/0.38 inference(superposition,[],[f39,f29])).
% 0.15/0.38 thf(f29,plain,(
% 0.15/0.38 ($true = vAPP($i,$o,cA,sK1)) | ~spl2_3),
% 0.15/0.38 inference(avatar_component_clause,[],[f27])).
% 0.15/0.38 thf(f27,plain,(
% 0.15/0.38 spl2_3 <=> ($true = vAPP($i,$o,cA,sK1))),
% 0.15/0.38 introduced(avatar_definition,[new_symbols(naming,[spl2_3])])).
% 0.15/0.38 thf(f40,plain,(
% 0.15/0.38 spl2_5 | spl2_5),
% 0.15/0.38 inference(avatar_split_clause,[],[f12,f38,f38])).
% 0.15/0.38 thf(f12,plain,(
% 0.15/0.38 ( ! [X2 : $i,X3 : $i] : (($true = vAPP($i,$o,cB,X2)) | ($true != vAPP($i,$o,cA,X2)) | ($true = vAPP($i,$o,cB,X3)) | ($true != vAPP($i,$o,cA,X3))) )),
% 0.15/0.38 inference(cnf_transformation,[],[f11])).
% 0.15/0.38 thf(f11,plain,(
% 0.15/0.38 ((($true != vAPP($i,$o,cB,sK0)) & ($true = vAPP($i,$o,cA,sK0))) | (($true != vAPP($i,$o,cB,sK1)) & ($true = vAPP($i,$o,cA,sK1)))) & (! [X2] : (($true = vAPP($i,$o,cB,X2)) | ($true != vAPP($i,$o,cA,X2))) | ! [X3] : (($true = vAPP($i,$o,cB,X3)) | ($true != vAPP($i,$o,cA,X3))))),
% 0.15/0.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f8,f10,f9])).
% 0.15/0.38 thf(f9,plain,(
% 0.15/0.38 ? [X0] : ((vAPP($i,$o,cB,X0) != $true) & (vAPP($i,$o,cA,X0) = $true)) => (($true != vAPP($i,$o,cB,sK0)) & ($true = vAPP($i,$o,cA,sK0)))),
% 0.15/0.38 introduced(choice_axiom,[])).
% 0.15/0.38 thf(f10,plain,(
% 0.15/0.38 ? [X1] : (($true != vAPP($i,$o,cB,X1)) & ($true = vAPP($i,$o,cA,X1))) => (($true != vAPP($i,$o,cB,sK1)) & ($true = vAPP($i,$o,cA,sK1)))),
% 0.15/0.38 introduced(choice_axiom,[])).
% 0.15/0.38 thf(f8,plain,(
% 0.15/0.38 (? [X0] : ((vAPP($i,$o,cB,X0) != $true) & (vAPP($i,$o,cA,X0) = $true)) | ? [X1] : (($true != vAPP($i,$o,cB,X1)) & ($true = vAPP($i,$o,cA,X1)))) & (! [X2] : (($true = vAPP($i,$o,cB,X2)) | ($true != vAPP($i,$o,cA,X2))) | ! [X3] : (($true = vAPP($i,$o,cB,X3)) | ($true != vAPP($i,$o,cA,X3))))),
% 0.15/0.38 inference(rectify,[],[f7])).
% 0.15/0.38 thf(f7,plain,(
% 0.15/0.38 (? [X2] : (($true != vAPP($i,$o,cB,X2)) & ($true = vAPP($i,$o,cA,X2))) | ? [X3] : (($true != vAPP($i,$o,cB,X3)) & ($true = vAPP($i,$o,cA,X3)))) & (! [X0] : ((vAPP($i,$o,cB,X0) = $true) | (vAPP($i,$o,cA,X0) != $true)) | ! [X1] : (($true = vAPP($i,$o,cB,X1)) | ($true != vAPP($i,$o,cA,X1))))),
% 0.15/0.38 inference(ennf_transformation,[],[f6])).
% 0.15/0.38 thf(f6,plain,(
% 0.15/0.38 ~((! [X0] : ((vAPP($i,$o,cA,X0) = $true) => (vAPP($i,$o,cB,X0) = $true)) | ! [X1] : (($true = vAPP($i,$o,cA,X1)) => ($true = vAPP($i,$o,cB,X1)))) => (! [X2] : (($true = vAPP($i,$o,cA,X2)) => ($true = vAPP($i,$o,cB,X2))) & ! [X3] : (($true = vAPP($i,$o,cA,X3)) => ($true = vAPP($i,$o,cB,X3)))))),
% 0.15/0.38 inference(fool_elimination,[],[f5])).
% 0.15/0.38 thf(f5,plain,(
% 0.15/0.38 ~((! [X0] : (vAPP($i,$o,cA,X0) => vAPP($i,$o,cB,X0)) | ! [X1] : (vAPP($i,$o,cA,X1) => vAPP($i,$o,cB,X1))) => (! [X2] : (vAPP($i,$o,cA,X2) => vAPP($i,$o,cB,X2)) & ! [X3] : (vAPP($i,$o,cA,X3) => vAPP($i,$o,cB,X3))))),
% 0.15/0.38 inference(rectify,[],[f2])).
% 0.15/0.38 thf(f2,negated_conjecture,(
% 0.15/0.38 ~((! [X0] : (vAPP($i,$o,cA,X0) => vAPP($i,$o,cB,X0)) | ! [X0] : (vAPP($i,$o,cA,X0) => vAPP($i,$o,cB,X0))) => (! [X0] : (vAPP($i,$o,cA,X0) => vAPP($i,$o,cB,X0)) & ! [X0] : (vAPP($i,$o,cA,X0) => vAPP($i,$o,cB,X0))))),
% 0.15/0.38 inference(negated_conjecture,[],[f1])).
% 0.15/0.38 thf(f1,conjecture,(
% 0.15/0.38 (! [X0] : (vAPP($i,$o,cA,X0) => vAPP($i,$o,cB,X0)) | ! [X0] : (vAPP($i,$o,cA,X0) => vAPP($i,$o,cB,X0))) => (! [X0] : (vAPP($i,$o,cA,X0) => vAPP($i,$o,cB,X0)) & ! [X0] : (vAPP($i,$o,cA,X0) => vAPP($i,$o,cB,X0)))),
% 0.15/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cDUAL_EG5_pme)).
% 0.15/0.38 thf(f36,plain,(
% 0.15/0.38 spl2_3 | spl2_4),
% 0.15/0.38 inference(avatar_split_clause,[],[f13,f32,f27])).
% 0.15/0.38 thf(f13,plain,(
% 0.15/0.38 ($true = vAPP($i,$o,cA,sK0)) | ($true = vAPP($i,$o,cA,sK1))),
% 0.15/0.38 inference(cnf_transformation,[],[f11])).
% 0.15/0.38 thf(f35,plain,(
% 0.15/0.38 ~spl2_1 | spl2_4),
% 0.15/0.38 inference(avatar_split_clause,[],[f14,f32,f18])).
% 0.15/0.38 thf(f14,plain,(
% 0.15/0.38 ($true = vAPP($i,$o,cA,sK0)) | ($true != vAPP($i,$o,cB,sK1))),
% 0.15/0.38 inference(cnf_transformation,[],[f11])).
% 0.15/0.38 thf(f30,plain,(
% 0.15/0.38 spl2_3 | ~spl2_2),
% 0.15/0.38 inference(avatar_split_clause,[],[f15,f22,f27])).
% 0.15/0.38 thf(f15,plain,(
% 0.15/0.38 ($true != vAPP($i,$o,cB,sK0)) | ($true = vAPP($i,$o,cA,sK1))),
% 0.15/0.38 inference(cnf_transformation,[],[f11])).
% 0.15/0.38 thf(f25,plain,(
% 0.15/0.38 ~spl2_1 | ~spl2_2),
% 0.15/0.38 inference(avatar_split_clause,[],[f16,f22,f18])).
% 0.15/0.38 thf(f16,plain,(
% 0.15/0.38 ($true != vAPP($i,$o,cB,sK0)) | ($true != vAPP($i,$o,cB,sK1))),
% 0.15/0.38 inference(cnf_transformation,[],[f11])).
% 0.15/0.38 % SZS output end Proof for theBenchmark
% 0.15/0.38 % (21010)------------------------------
% 0.15/0.38 % (21010)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (21010)Termination reason: Refutation
% 0.15/0.38
% 0.15/0.38 % (21010)Memory used [KB]: 778
% 0.15/0.38 % (21010)Time elapsed: 0.006 s
% 0.15/0.38 % (21010)Instructions burned: 6 (million)
% 0.15/0.38 % (21004)Success in time 0.019 s
%------------------------------------------------------------------------------