TSTP Solution File: SYO308^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO308^5 : 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 09:10:53 EDT 2024
% Result : Theorem 0.14s 0.36s
% Output : Refutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYO308^5 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n017.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon May 20 09:57:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (19090)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (19096)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.36 % (19096)First to succeed.
% 0.14/0.36 % (19096)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-19090"
% 0.14/0.36 % (19096)Refutation found. Thanks to Tanya!
% 0.14/0.36 % SZS status Theorem for theBenchmark
% 0.14/0.36 % SZS output start Proof for theBenchmark
% 0.14/0.36 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.14/0.36 thf(func_def_0, type, cB: $i > $o).
% 0.14/0.36 thf(func_def_1, type, cA: $i > $o).
% 0.14/0.36 thf(func_def_5, type, sK0: $i > $o).
% 0.14/0.36 thf(func_def_8, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
% 0.14/0.36 thf(func_def_9, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
% 0.14/0.36 thf(func_def_10, type, vAND: $o > $o > $o).
% 0.14/0.36 thf(func_def_11, type, vOR: $o > $o > $o).
% 0.14/0.36 thf(func_def_12, type, vIMP: $o > $o > $o).
% 0.14/0.36 thf(func_def_13, type, vNOT: $o > $o).
% 0.14/0.36 thf(func_def_14, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.14/0.36 thf(f72,plain,(
% 0.14/0.36 $false),
% 0.14/0.36 inference(avatar_sat_refutation,[],[f23,f61,f71])).
% 0.14/0.36 thf(f71,plain,(
% 0.14/0.36 ~spl2_1),
% 0.14/0.36 inference(avatar_contradiction_clause,[],[f70])).
% 0.14/0.36 thf(f70,plain,(
% 0.14/0.36 $false | ~spl2_1),
% 0.14/0.36 inference(trivial_inequality_removal,[],[f69])).
% 0.14/0.36 thf(f69,plain,(
% 0.14/0.36 ($true = $false) | ~spl2_1),
% 0.14/0.36 inference(forward_demodulation,[],[f68,f53])).
% 0.14/0.36 thf(f53,plain,(
% 0.14/0.36 ($false = vAPP($i,$o,cA,sK1))),
% 0.14/0.36 inference(trivial_inequality_removal,[],[f52])).
% 0.14/0.36 thf(f52,plain,(
% 0.14/0.36 ($true != $true) | ($false = vAPP($i,$o,cA,sK1))),
% 0.14/0.36 inference(superposition,[],[f15,f4])).
% 0.14/0.36 thf(f4,plain,(
% 0.14/0.36 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.14/0.36 introduced(fool_axiom,[])).
% 0.14/0.36 thf(f15,plain,(
% 0.14/0.36 ($true != vAPP($i,$o,cA,sK1))),
% 0.14/0.36 inference(cnf_transformation,[],[f12])).
% 0.14/0.36 thf(f12,plain,(
% 0.14/0.36 (($true != vAPP($i,$o,cB,sK1)) & ($true != vAPP($i,$o,cA,sK1)) & ($true = vAPP($i,$o,sK0,sK1))) & (! [X2] : ((vAPP($i,$o,cB,X2) = $true) | ($true != vAPP($i,$o,sK0,X2))) | ! [X3] : ((vAPP($i,$o,cA,X3) = $true) | ($true != vAPP($i,$o,sK0,X3))))),
% 0.14/0.36 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f9,f11,f10])).
% 0.14/0.36 thf(f10,plain,(
% 0.14/0.36 ? [X0 : $i > $o] : (? [X1] : (($true != vAPP($i,$o,cB,X1)) & (vAPP($i,$o,cA,X1) != $true) & (vAPP($i,$o,X0,X1) = $true)) & (! [X2] : ((vAPP($i,$o,cB,X2) = $true) | (vAPP($i,$o,X0,X2) != $true)) | ! [X3] : ((vAPP($i,$o,cA,X3) = $true) | (vAPP($i,$o,X0,X3) != $true)))) => (? [X1] : (($true != vAPP($i,$o,cB,X1)) & (vAPP($i,$o,cA,X1) != $true) & ($true = vAPP($i,$o,sK0,X1))) & (! [X2] : ((vAPP($i,$o,cB,X2) = $true) | ($true != vAPP($i,$o,sK0,X2))) | ! [X3] : ((vAPP($i,$o,cA,X3) = $true) | ($true != vAPP($i,$o,sK0,X3)))))),
% 0.14/0.36 introduced(choice_axiom,[])).
% 0.14/0.36 thf(f11,plain,(
% 0.14/0.36 ? [X1] : (($true != vAPP($i,$o,cB,X1)) & (vAPP($i,$o,cA,X1) != $true) & ($true = vAPP($i,$o,sK0,X1))) => (($true != vAPP($i,$o,cB,sK1)) & ($true != vAPP($i,$o,cA,sK1)) & ($true = vAPP($i,$o,sK0,sK1)))),
% 0.14/0.36 introduced(choice_axiom,[])).
% 0.14/0.36 thf(f9,plain,(
% 0.14/0.36 ? [X0 : $i > $o] : (? [X1] : (($true != vAPP($i,$o,cB,X1)) & (vAPP($i,$o,cA,X1) != $true) & (vAPP($i,$o,X0,X1) = $true)) & (! [X2] : ((vAPP($i,$o,cB,X2) = $true) | (vAPP($i,$o,X0,X2) != $true)) | ! [X3] : ((vAPP($i,$o,cA,X3) = $true) | (vAPP($i,$o,X0,X3) != $true))))),
% 0.14/0.36 inference(rectify,[],[f8])).
% 0.14/0.36 thf(f8,plain,(
% 0.14/0.36 ? [X0 : $i > $o] : (? [X3] : ((vAPP($i,$o,cB,X3) != $true) & (vAPP($i,$o,cA,X3) != $true) & (vAPP($i,$o,X0,X3) = $true)) & (! [X1] : (($true = vAPP($i,$o,cB,X1)) | (vAPP($i,$o,X0,X1) != $true)) | ! [X2] : (($true = vAPP($i,$o,cA,X2)) | (vAPP($i,$o,X0,X2) != $true))))),
% 0.14/0.36 inference(flattening,[],[f7])).
% 0.14/0.36 thf(f7,plain,(
% 0.14/0.36 ? [X0 : $i > $o] : (? [X3] : (((vAPP($i,$o,cB,X3) != $true) & (vAPP($i,$o,cA,X3) != $true)) & (vAPP($i,$o,X0,X3) = $true)) & (! [X1] : (($true = vAPP($i,$o,cB,X1)) | (vAPP($i,$o,X0,X1) != $true)) | ! [X2] : (($true = vAPP($i,$o,cA,X2)) | (vAPP($i,$o,X0,X2) != $true))))),
% 0.14/0.36 inference(ennf_transformation,[],[f6])).
% 0.14/0.36 thf(f6,plain,(
% 0.14/0.36 ~! [X0 : $i > $o] : ((! [X1] : ((vAPP($i,$o,X0,X1) = $true) => ($true = vAPP($i,$o,cB,X1))) | ! [X2] : ((vAPP($i,$o,X0,X2) = $true) => ($true = vAPP($i,$o,cA,X2)))) => ! [X3] : ((vAPP($i,$o,X0,X3) = $true) => ((vAPP($i,$o,cB,X3) = $true) | (vAPP($i,$o,cA,X3) = $true))))),
% 0.14/0.36 inference(fool_elimination,[],[f5])).
% 0.14/0.36 thf(f5,plain,(
% 0.14/0.36 ~! [X0 : $i > $o] : ((! [X1] : (vAPP($i,$o,X0,X1) => vAPP($i,$o,cB,X1)) | ! [X2] : (vAPP($i,$o,X0,X2) => vAPP($i,$o,cA,X2))) => ! [X3] : (vAPP($i,$o,X0,X3) => (vAPP($i,$o,cB,X3) | vAPP($i,$o,cA,X3))))),
% 0.14/0.36 inference(rectify,[],[f2])).
% 0.14/0.36 thf(f2,negated_conjecture,(
% 0.14/0.36 ~! [X0 : $i > $o] : ((! [X2] : (vAPP($i,$o,X0,X2) => vAPP($i,$o,cB,X2)) | ! [X1] : (vAPP($i,$o,X0,X1) => vAPP($i,$o,cA,X1))) => ! [X3] : (vAPP($i,$o,X0,X3) => (vAPP($i,$o,cB,X3) | vAPP($i,$o,cA,X3))))),
% 0.14/0.36 inference(negated_conjecture,[],[f1])).
% 0.14/0.36 thf(f1,conjecture,(
% 0.14/0.36 ! [X0 : $i > $o] : ((! [X2] : (vAPP($i,$o,X0,X2) => vAPP($i,$o,cB,X2)) | ! [X1] : (vAPP($i,$o,X0,X1) => vAPP($i,$o,cA,X1))) => ! [X3] : (vAPP($i,$o,X0,X3) => (vAPP($i,$o,cB,X3) | vAPP($i,$o,cA,X3))))),
% 0.14/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cSET81_pme)).
% 0.14/0.36 thf(f68,plain,(
% 0.14/0.36 ($true = vAPP($i,$o,cA,sK1)) | ~spl2_1),
% 0.14/0.36 inference(trivial_inequality_removal,[],[f65])).
% 0.14/0.36 thf(f65,plain,(
% 0.14/0.36 ($true != $true) | ($true = vAPP($i,$o,cA,sK1)) | ~spl2_1),
% 0.14/0.36 inference(superposition,[],[f19,f14])).
% 0.14/0.36 thf(f14,plain,(
% 0.14/0.36 ($true = vAPP($i,$o,sK0,sK1))),
% 0.14/0.36 inference(cnf_transformation,[],[f12])).
% 0.14/0.36 thf(f19,plain,(
% 0.14/0.36 ( ! [X3 : $i] : (($true != vAPP($i,$o,sK0,X3)) | (vAPP($i,$o,cA,X3) = $true)) ) | ~spl2_1),
% 0.14/0.36 inference(avatar_component_clause,[],[f18])).
% 0.14/0.36 thf(f18,plain,(
% 0.14/0.36 spl2_1 <=> ! [X3] : ((vAPP($i,$o,cA,X3) = $true) | ($true != vAPP($i,$o,sK0,X3)))),
% 0.14/0.36 introduced(avatar_definition,[new_symbols(naming,[spl2_1])])).
% 0.14/0.36 thf(f61,plain,(
% 0.14/0.36 ~spl2_2),
% 0.14/0.36 inference(avatar_contradiction_clause,[],[f60])).
% 0.14/0.36 thf(f60,plain,(
% 0.14/0.36 $false | ~spl2_2),
% 0.14/0.36 inference(subsumption_resolution,[],[f59,f16])).
% 0.14/0.36 thf(f16,plain,(
% 0.14/0.36 ($true != vAPP($i,$o,cB,sK1))),
% 0.14/0.36 inference(cnf_transformation,[],[f12])).
% 0.14/0.36 thf(f59,plain,(
% 0.14/0.36 ($true = vAPP($i,$o,cB,sK1)) | ~spl2_2),
% 0.14/0.36 inference(trivial_inequality_removal,[],[f56])).
% 0.14/0.36 thf(f56,plain,(
% 0.14/0.36 ($true != $true) | ($true = vAPP($i,$o,cB,sK1)) | ~spl2_2),
% 0.14/0.36 inference(superposition,[],[f22,f14])).
% 0.14/0.36 thf(f22,plain,(
% 0.14/0.36 ( ! [X2 : $i] : (($true != vAPP($i,$o,sK0,X2)) | (vAPP($i,$o,cB,X2) = $true)) ) | ~spl2_2),
% 0.14/0.36 inference(avatar_component_clause,[],[f21])).
% 0.14/0.36 thf(f21,plain,(
% 0.14/0.36 spl2_2 <=> ! [X2] : ((vAPP($i,$o,cB,X2) = $true) | ($true != vAPP($i,$o,sK0,X2)))),
% 0.14/0.36 introduced(avatar_definition,[new_symbols(naming,[spl2_2])])).
% 0.14/0.36 thf(f23,plain,(
% 0.14/0.36 spl2_1 | spl2_2),
% 0.14/0.36 inference(avatar_split_clause,[],[f13,f21,f18])).
% 0.14/0.36 thf(f13,plain,(
% 0.14/0.36 ( ! [X2 : $i,X3 : $i] : ((vAPP($i,$o,cB,X2) = $true) | ($true != vAPP($i,$o,sK0,X2)) | (vAPP($i,$o,cA,X3) = $true) | ($true != vAPP($i,$o,sK0,X3))) )),
% 0.14/0.36 inference(cnf_transformation,[],[f12])).
% 0.14/0.36 % SZS output end Proof for theBenchmark
% 0.14/0.36 % (19096)------------------------------
% 0.14/0.36 % (19096)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.36 % (19096)Termination reason: Refutation
% 0.14/0.36
% 0.14/0.36 % (19096)Memory used [KB]: 768
% 0.14/0.36 % (19096)Time elapsed: 0.004 s
% 0.14/0.36 % (19096)Instructions burned: 5 (million)
% 0.14/0.36 % (19090)Success in time 0.014 s
%------------------------------------------------------------------------------