TSTP Solution File: SYN051^5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYN051^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n022.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 : Sun May 5 11:55:45 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
% 0.07/0.13 % Problem : SYN051^5 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n022.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 : Fri May 3 17:19:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TH0_THM_NEQ_NAR problem
% 0.15/0.36 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.YAc8A9ruc2/Vampire---4.8_26245
% 0.15/0.37 % (26510)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (3000ds/2Mi)
% 0.15/0.38 % (26510)First to succeed.
% 0.15/0.38 % (26510)Refutation found. Thanks to Tanya!
% 0.15/0.38 % SZS status Theorem for Vampire---4
% 0.15/0.38 % SZS output start Proof for Vampire---4
% 0.15/0.38 thf(func_def_1, type, cF: $i > $o).
% 0.15/0.38 thf(f45,plain,(
% 0.15/0.38 $false),
% 0.15/0.38 inference(avatar_sat_refutation,[],[f26,f30,f35,f39,f41,f44])).
% 0.15/0.38 thf(f44,plain,(
% 0.15/0.38 ~spl2_2 | ~spl2_3),
% 0.15/0.38 inference(avatar_contradiction_clause,[],[f43])).
% 0.15/0.38 thf(f43,plain,(
% 0.15/0.38 $false | (~spl2_2 | ~spl2_3)),
% 0.15/0.38 inference(trivial_inequality_removal,[],[f42])).
% 0.15/0.38 thf(f42,plain,(
% 0.15/0.38 ($true != $true) | (~spl2_2 | ~spl2_3)),
% 0.15/0.38 inference(superposition,[],[f29,f25])).
% 0.15/0.38 thf(f25,plain,(
% 0.15/0.38 ((cF @ sK1) = $true) | ~spl2_2),
% 0.15/0.38 inference(avatar_component_clause,[],[f23])).
% 0.15/0.38 thf(f23,plain,(
% 0.15/0.38 spl2_2 <=> ((cF @ sK1) = $true)),
% 0.15/0.38 introduced(avatar_definition,[new_symbols(naming,[spl2_2])])).
% 0.15/0.38 thf(f29,plain,(
% 0.15/0.38 ( ! [X0 : $i] : (((cF @ X0) != $true)) ) | ~spl2_3),
% 0.15/0.38 inference(avatar_component_clause,[],[f28])).
% 0.15/0.38 thf(f28,plain,(
% 0.15/0.38 spl2_3 <=> ! [X0] : ((cF @ X0) != $true)),
% 0.15/0.38 introduced(avatar_definition,[new_symbols(naming,[spl2_3])])).
% 0.15/0.38 thf(f41,plain,(
% 0.15/0.38 spl2_4 | ~spl2_5),
% 0.15/0.38 inference(avatar_contradiction_clause,[],[f40])).
% 0.15/0.38 thf(f40,plain,(
% 0.15/0.38 $false | (spl2_4 | ~spl2_5)),
% 0.15/0.38 inference(subsumption_resolution,[],[f34,f38])).
% 0.15/0.38 thf(f38,plain,(
% 0.15/0.38 ( ! [X0 : $i] : (((cF @ X0) = $true)) ) | ~spl2_5),
% 0.15/0.38 inference(avatar_component_clause,[],[f37])).
% 0.15/0.38 thf(f37,plain,(
% 0.15/0.38 spl2_5 <=> ! [X0] : ((cF @ X0) = $true)),
% 0.15/0.38 introduced(avatar_definition,[new_symbols(naming,[spl2_5])])).
% 0.15/0.38 thf(f34,plain,(
% 0.15/0.38 ($true != (cF @ 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 = (cF @ sK0))),
% 0.15/0.38 introduced(avatar_definition,[new_symbols(naming,[spl2_4])])).
% 0.15/0.38 thf(f39,plain,(
% 0.15/0.38 spl2_1 | spl2_5),
% 0.15/0.38 inference(avatar_split_clause,[],[f17,f37,f19])).
% 0.15/0.38 thf(f19,plain,(
% 0.15/0.38 spl2_1 <=> (p = $true)),
% 0.15/0.38 introduced(avatar_definition,[new_symbols(naming,[spl2_1])])).
% 0.15/0.38 thf(f17,plain,(
% 0.15/0.38 ( ! [X0 : $i] : ((p = $true) | ((cF @ X0) = $true)) )),
% 0.15/0.38 inference(cnf_transformation,[],[f11])).
% 0.15/0.38 thf(f11,plain,(
% 0.15/0.38 ! [X0] : ((((cF @ X0) = $true) & (p != $true)) | ((p = $true) & ((cF @ X0) != $true))) & (($true != (cF @ sK0)) | (p = $true)) & (((cF @ sK1) = $true) | (p != $true))),
% 0.15/0.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f8,f10,f9])).
% 0.15/0.38 thf(f9,plain,(
% 0.15/0.38 ? [X1] : (($true != (cF @ X1)) | (p = $true)) => (($true != (cF @ sK0)) | (p = $true))),
% 0.15/0.38 introduced(choice_axiom,[])).
% 0.15/0.38 thf(f10,plain,(
% 0.15/0.38 ? [X2] : (($true = (cF @ X2)) | (p != $true)) => (((cF @ sK1) = $true) | (p != $true))),
% 0.15/0.38 introduced(choice_axiom,[])).
% 0.15/0.38 thf(f8,plain,(
% 0.15/0.38 ! [X0] : ((((cF @ X0) = $true) & (p != $true)) | ((p = $true) & ((cF @ X0) != $true))) & ? [X1] : (($true != (cF @ X1)) | (p = $true)) & ? [X2] : (($true = (cF @ X2)) | (p != $true))),
% 0.15/0.38 inference(rectify,[],[f7])).
% 0.15/0.38 thf(f7,plain,(
% 0.15/0.38 ! [X2] : ((($true = (cF @ X2)) & (p != $true)) | ((p = $true) & ($true != (cF @ X2)))) & ? [X0] : (((cF @ X0) != $true) | (p = $true)) & ? [X1] : (($true = (cF @ X1)) | (p != $true))),
% 0.15/0.38 inference(flattening,[],[f6])).
% 0.15/0.38 thf(f6,plain,(
% 0.15/0.38 ! [X2] : ((($true = (cF @ X2)) & (p != $true)) | ((p = $true) & ($true != (cF @ X2)))) & (? [X0] : (((cF @ X0) != $true) | (p = $true)) & ? [X1] : (($true = (cF @ X1)) | (p != $true)))),
% 0.15/0.38 inference(ennf_transformation,[],[f5])).
% 0.15/0.38 thf(f5,plain,(
% 0.15/0.38 ~((? [X0] : (((cF @ X0) = $true) => (p = $true)) & ? [X1] : ((p = $true) => ($true = (cF @ X1)))) => ? [X2] : (((p = $true) => ($true = (cF @ X2))) & (($true = (cF @ X2)) => (p = $true))))),
% 0.15/0.38 inference(fool_elimination,[],[f4])).
% 0.15/0.38 thf(f4,plain,(
% 0.15/0.38 ~((? [X0] : ((cF @ X0) => p) & ? [X1] : (p => (cF @ X1))) => ? [X2] : (((cF @ X2) => p) & (p => (cF @ X2))))),
% 0.15/0.38 inference(rectify,[],[f2])).
% 0.15/0.38 thf(f2,negated_conjecture,(
% 0.15/0.38 ~((? [X0] : ((cF @ X0) => p) & ? [X0] : (p => (cF @ X0))) => ? [X0] : (((cF @ X0) => p) & (p => (cF @ X0))))),
% 0.15/0.38 inference(negated_conjecture,[],[f1])).
% 0.15/0.38 thf(f1,conjecture,(
% 0.15/0.38 (? [X0] : ((cF @ X0) => p) & ? [X0] : (p => (cF @ X0))) => ? [X0] : (((cF @ X0) => p) & (p => (cF @ X0)))),
% 0.15/0.38 file('/export/starexec/sandbox/tmp/tmp.YAc8A9ruc2/Vampire---4.8_26245',cPELL21)).
% 0.15/0.38 thf(f35,plain,(
% 0.15/0.38 spl2_1 | ~spl2_4),
% 0.15/0.38 inference(avatar_split_clause,[],[f13,f32,f19])).
% 0.15/0.38 thf(f13,plain,(
% 0.15/0.38 (p = $true) | ($true != (cF @ sK0))),
% 0.15/0.38 inference(cnf_transformation,[],[f11])).
% 0.15/0.38 thf(f30,plain,(
% 0.15/0.38 ~spl2_1 | spl2_3),
% 0.15/0.38 inference(avatar_split_clause,[],[f14,f28,f19])).
% 0.15/0.38 thf(f14,plain,(
% 0.15/0.38 ( ! [X0 : $i] : (((cF @ X0) != $true) | (p != $true)) )),
% 0.15/0.38 inference(cnf_transformation,[],[f11])).
% 0.15/0.38 thf(f26,plain,(
% 0.15/0.38 ~spl2_1 | spl2_2),
% 0.15/0.38 inference(avatar_split_clause,[],[f12,f23,f19])).
% 0.15/0.38 thf(f12,plain,(
% 0.15/0.38 ((cF @ sK1) = $true) | (p != $true)),
% 0.15/0.38 inference(cnf_transformation,[],[f11])).
% 0.15/0.38 % SZS output end Proof for Vampire---4
% 0.15/0.38 % (26510)------------------------------
% 0.15/0.38 % (26510)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (26510)Termination reason: Refutation
% 0.15/0.38
% 0.15/0.38 % (26510)Memory used [KB]: 5500
% 0.15/0.38 % (26510)Time elapsed: 0.003 s
% 0.15/0.38 % (26510)Instructions burned: 1 (million)
% 0.15/0.38 % (26510)------------------------------
% 0.15/0.38 % (26510)------------------------------
% 0.15/0.38 % (26506)Success in time 0.012 s
% 0.15/0.38 % Vampire---4.8 exiting
%------------------------------------------------------------------------------