TSTP Solution File: SYO143^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO143^5 : 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 09:10:25 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
% 0.00/0.12 % Problem : SYO143^5 : TPTP v8.2.0. Released v4.0.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n017.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 20 08:42:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (16835)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (16838)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)
% 0.14/0.36 % (16838)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.36 % (16838)First to succeed.
% 0.14/0.36 % (16838)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16835"
% 0.14/0.36 % (16838)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, cQ: $i > $o).
% 0.14/0.36 thf(func_def_1, type, cP: $i > $o).
% 0.14/0.36 thf(func_def_6, type, sK1: $i > $i).
% 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(f67,plain,(
% 0.14/0.36 $false),
% 0.14/0.36 inference(avatar_sat_refutation,[],[f52,f58,f66])).
% 0.14/0.36 thf(f66,plain,(
% 0.14/0.36 ~spl2_1),
% 0.14/0.36 inference(avatar_contradiction_clause,[],[f65])).
% 0.14/0.36 thf(f65,plain,(
% 0.14/0.36 $false | ~spl2_1),
% 0.14/0.36 inference(trivial_inequality_removal,[],[f62])).
% 0.14/0.36 thf(f62,plain,(
% 0.14/0.36 ($true != $true) | ~spl2_1),
% 0.14/0.36 inference(superposition,[],[f61,f47])).
% 0.14/0.36 thf(f47,plain,(
% 0.14/0.36 ( ! [X2 : $i] : (($true = vAPP($i,$o,cP,X2))) ) | ~spl2_1),
% 0.14/0.36 inference(avatar_component_clause,[],[f46])).
% 0.14/0.36 thf(f46,plain,(
% 0.14/0.36 spl2_1 <=> ! [X2] : ($true = vAPP($i,$o,cP,X2))),
% 0.14/0.36 introduced(avatar_definition,[new_symbols(naming,[spl2_1])])).
% 0.14/0.36 thf(f61,plain,(
% 0.14/0.36 ( ! [X2 : $i] : (($true != vAPP($i,$o,cP,vAPP($i,$i,sK1,X2)))) )),
% 0.14/0.36 inference(trivial_inequality_removal,[],[f60])).
% 0.14/0.36 thf(f60,plain,(
% 0.14/0.36 ( ! [X2 : $i] : (($true = $false) | ($true != vAPP($i,$o,cP,vAPP($i,$i,sK1,X2)))) )),
% 0.14/0.36 inference(forward_demodulation,[],[f13,f26])).
% 0.14/0.36 thf(f26,plain,(
% 0.14/0.36 ( ! [X0 : $i] : (($false = vAPP($i,$o,cQ,X0))) )),
% 0.14/0.36 inference(trivial_inequality_removal,[],[f24])).
% 0.14/0.36 thf(f24,plain,(
% 0.14/0.36 ( ! [X0 : $i] : (($true != $true) | ($false = vAPP($i,$o,cQ,X0))) )),
% 0.14/0.36 inference(superposition,[],[f14,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(f14,plain,(
% 0.14/0.36 ( ! [X0 : $i] : (($true != vAPP($i,$o,cQ,X0))) )),
% 0.14/0.36 inference(cnf_transformation,[],[f11])).
% 0.14/0.36 thf(f11,plain,(
% 0.14/0.36 ! [X0] : ($true != vAPP($i,$o,cQ,X0)) & (($true = vAPP($i,$o,cQ,sK0)) | ! [X2] : (($true != vAPP($i,$o,cP,vAPP($i,$i,sK1,X2))) & ($true = vAPP($i,$o,cP,X2))))),
% 0.14/0.36 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f8,f10,f9])).
% 0.14/0.36 thf(f9,plain,(
% 0.14/0.36 ? [X1] : ($true = vAPP($i,$o,cQ,X1)) => ($true = vAPP($i,$o,cQ,sK0))),
% 0.14/0.36 introduced(choice_axiom,[])).
% 0.14/0.36 thf(f10,plain,(
% 0.14/0.36 ! [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))))),
% 0.14/0.36 introduced(choice_axiom,[])).
% 0.14/0.36 thf(f8,plain,(
% 0.14/0.36 ! [X0] : ($true != vAPP($i,$o,cQ,X0)) & (? [X1] : ($true = vAPP($i,$o,cQ,X1)) | ! [X2] : ? [X3] : (($true != vAPP($i,$o,cP,X3)) & ($true = vAPP($i,$o,cP,X2))))),
% 0.14/0.36 inference(rectify,[],[f7])).
% 0.14/0.36 thf(f7,plain,(
% 0.14/0.36 ! [X3] : ($true != vAPP($i,$o,cQ,X3)) & (? [X0] : ($true = vAPP($i,$o,cQ,X0)) | ! [X1] : ? [X2] : (($true != vAPP($i,$o,cP,X2)) & (vAPP($i,$o,cP,X1) = $true)))),
% 0.14/0.36 inference(ennf_transformation,[],[f6])).
% 0.14/0.36 thf(f6,plain,(
% 0.14/0.36 ~((? [X0] : ($true = vAPP($i,$o,cQ,X0)) | ~? [X1] : ! [X2] : ((vAPP($i,$o,cP,X1) = $true) => ($true = vAPP($i,$o,cP,X2)))) => ? [X3] : ($true = vAPP($i,$o,cQ,X3)))),
% 0.14/0.36 inference(fool_elimination,[],[f5])).
% 0.14/0.36 thf(f5,plain,(
% 0.14/0.36 ~((? [X0] : vAPP($i,$o,cQ,X0) | ~? [X1] : ! [X2] : (vAPP($i,$o,cP,X1) => vAPP($i,$o,cP,X2))) => ? [X3] : vAPP($i,$o,cQ,X3))),
% 0.14/0.36 inference(rectify,[],[f2])).
% 0.14/0.36 thf(f2,negated_conjecture,(
% 0.14/0.36 ~((? [X2] : vAPP($i,$o,cQ,X2) | ~? [X0] : ! [X1] : (vAPP($i,$o,cP,X0) => vAPP($i,$o,cP,X1))) => ? [X2] : vAPP($i,$o,cQ,X2))),
% 0.14/0.36 inference(negated_conjecture,[],[f1])).
% 0.14/0.36 thf(f1,conjecture,(
% 0.14/0.36 (? [X2] : vAPP($i,$o,cQ,X2) | ~? [X0] : ! [X1] : (vAPP($i,$o,cP,X0) => vAPP($i,$o,cP,X1))) => ? [X2] : vAPP($i,$o,cQ,X2)),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cDUP_BUG_1)).
% 0.14/0.36 thf(f13,plain,(
% 0.14/0.36 ( ! [X2 : $i] : (($true = vAPP($i,$o,cQ,sK0)) | ($true != vAPP($i,$o,cP,vAPP($i,$i,sK1,X2)))) )),
% 0.14/0.36 inference(cnf_transformation,[],[f11])).
% 0.14/0.36 thf(f58,plain,(
% 0.14/0.36 ~spl2_2),
% 0.14/0.36 inference(avatar_contradiction_clause,[],[f57])).
% 0.14/0.36 thf(f57,plain,(
% 0.14/0.36 $false | ~spl2_2),
% 0.14/0.36 inference(trivial_inequality_removal,[],[f56])).
% 0.14/0.36 thf(f56,plain,(
% 0.14/0.36 ($true = $false) | ~spl2_2),
% 0.14/0.36 inference(forward_demodulation,[],[f51,f26])).
% 0.14/0.36 thf(f51,plain,(
% 0.14/0.36 ($true = vAPP($i,$o,cQ,sK0)) | ~spl2_2),
% 0.14/0.36 inference(avatar_component_clause,[],[f49])).
% 0.14/0.36 thf(f49,plain,(
% 0.14/0.36 spl2_2 <=> ($true = vAPP($i,$o,cQ,sK0))),
% 0.14/0.36 introduced(avatar_definition,[new_symbols(naming,[spl2_2])])).
% 0.14/0.36 thf(f52,plain,(
% 0.14/0.36 spl2_1 | spl2_2),
% 0.14/0.36 inference(avatar_split_clause,[],[f12,f49,f46])).
% 0.14/0.36 thf(f12,plain,(
% 0.14/0.36 ( ! [X2 : $i] : (($true = vAPP($i,$o,cQ,sK0)) | ($true = vAPP($i,$o,cP,X2))) )),
% 0.14/0.36 inference(cnf_transformation,[],[f11])).
% 0.14/0.36 % SZS output end Proof for theBenchmark
% 0.14/0.36 % (16838)------------------------------
% 0.14/0.36 % (16838)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.36 % (16838)Termination reason: Refutation
% 0.14/0.36
% 0.14/0.36 % (16838)Memory used [KB]: 768
% 0.14/0.36 % (16838)Time elapsed: 0.003 s
% 0.14/0.36 % (16838)Instructions burned: 4 (million)
% 0.14/0.36 % (16835)Success in time 0.001 s
%------------------------------------------------------------------------------