TSTP Solution File: SYN358^5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYN358^5 : TPTP v8.2.0. 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 : n006.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 08:22:01 EDT 2024
% Result : Theorem 0.22s 0.37s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN358^5 : TPTP v8.2.0. Released v4.0.0.
% 0.15/0.14 % 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
% 0.15/0.35 % Computer : n006.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon May 20 15:40:38 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 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/benchmark/theBenchmark.p
% 0.22/0.37 % (6773)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (3000ds/27Mi)
% 0.22/0.37 % (6773)First to succeed.
% 0.22/0.37 % (6773)Refutation found. Thanks to Tanya!
% 0.22/0.37 % SZS status Theorem for theBenchmark
% 0.22/0.37 % SZS output start Proof for theBenchmark
% 0.22/0.37 thf(func_def_0, type, cQ: $i > $o).
% 0.22/0.37 thf(func_def_3, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
% 0.22/0.37 thf(f46,plain,(
% 0.22/0.37 $false),
% 0.22/0.37 inference(avatar_sat_refutation,[],[f29,f38,f39,f42,f45])).
% 0.22/0.37 thf(f45,plain,(
% 0.22/0.37 ~spl2_1 | ~spl2_4),
% 0.22/0.37 inference(avatar_contradiction_clause,[],[f44])).
% 0.22/0.37 thf(f44,plain,(
% 0.22/0.37 $false | (~spl2_1 | ~spl2_4)),
% 0.22/0.37 inference(trivial_inequality_removal,[],[f43])).
% 0.22/0.37 thf(f43,plain,(
% 0.22/0.37 ($true != $true) | (~spl2_1 | ~spl2_4)),
% 0.22/0.37 inference(superposition,[],[f37,f23])).
% 0.22/0.37 thf(f23,plain,(
% 0.22/0.37 ((cQ @ sK1) = $true) | ~spl2_1),
% 0.22/0.37 inference(avatar_component_clause,[],[f21])).
% 0.22/0.37 thf(f21,plain,(
% 0.22/0.37 spl2_1 <=> ((cQ @ sK1) = $true)),
% 0.22/0.37 introduced(avatar_definition,[new_symbols(naming,[spl2_1])])).
% 0.22/0.37 thf(f37,plain,(
% 0.22/0.37 ( ! [X1 : $i] : (($true != (cQ @ X1))) ) | ~spl2_4),
% 0.22/0.37 inference(avatar_component_clause,[],[f36])).
% 0.22/0.37 thf(f36,plain,(
% 0.22/0.37 spl2_4 <=> ! [X1] : ($true != (cQ @ X1))),
% 0.22/0.37 introduced(avatar_definition,[new_symbols(naming,[spl2_4])])).
% 0.22/0.37 thf(f42,plain,(
% 0.22/0.37 ~spl2_3 | ~spl2_4),
% 0.22/0.37 inference(avatar_contradiction_clause,[],[f41])).
% 0.22/0.37 thf(f41,plain,(
% 0.22/0.37 $false | (~spl2_3 | ~spl2_4)),
% 0.22/0.37 inference(trivial_inequality_removal,[],[f40])).
% 0.22/0.37 thf(f40,plain,(
% 0.22/0.37 ($true != $true) | (~spl2_3 | ~spl2_4)),
% 0.22/0.37 inference(superposition,[],[f37,f33])).
% 0.22/0.37 thf(f33,plain,(
% 0.22/0.37 ($true = (cQ @ sK0)) | ~spl2_3),
% 0.22/0.37 inference(avatar_component_clause,[],[f31])).
% 0.22/0.37 thf(f31,plain,(
% 0.22/0.37 spl2_3 <=> ($true = (cQ @ sK0))),
% 0.22/0.37 introduced(avatar_definition,[new_symbols(naming,[spl2_3])])).
% 0.22/0.37 thf(f39,plain,(
% 0.22/0.37 spl2_1 | spl2_3),
% 0.22/0.37 inference(avatar_split_clause,[],[f16,f31,f21])).
% 0.22/0.37 thf(f16,plain,(
% 0.22/0.37 ((cQ @ sK1) = $true) | ($true = (cQ @ sK0))),
% 0.22/0.37 inference(cnf_transformation,[],[f12])).
% 0.22/0.37 thf(f12,plain,(
% 0.22/0.37 (! [X0] : (((cQ @ X0) != $true) | (p != $true)) | ! [X1] : ($true != (cQ @ X1)) | (p != $true)) & ((($true = (cQ @ sK0)) & (p = $true)) | (((cQ @ sK1) = $true) & (p = $true)))),
% 0.22/0.37 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f9,f11,f10])).
% 0.22/0.37 thf(f10,plain,(
% 0.22/0.37 ? [X2] : (((cQ @ X2) = $true) & (p = $true)) => (($true = (cQ @ sK0)) & (p = $true))),
% 0.22/0.37 introduced(choice_axiom,[])).
% 0.22/0.37 thf(f11,plain,(
% 0.22/0.37 ? [X3] : ($true = (cQ @ X3)) => ((cQ @ sK1) = $true)),
% 0.22/0.37 introduced(choice_axiom,[])).
% 0.22/0.37 thf(f9,plain,(
% 0.22/0.37 (! [X0] : (((cQ @ X0) != $true) | (p != $true)) | ! [X1] : ($true != (cQ @ X1)) | (p != $true)) & (? [X2] : (((cQ @ X2) = $true) & (p = $true)) | (? [X3] : ($true = (cQ @ X3)) & (p = $true)))),
% 0.22/0.37 inference(rectify,[],[f8])).
% 0.22/0.37 thf(f8,plain,(
% 0.22/0.37 (! [X0] : (((cQ @ X0) != $true) | (p != $true)) | ! [X1] : ($true != (cQ @ X1)) | (p != $true)) & (? [X0] : (((cQ @ X0) = $true) & (p = $true)) | (? [X1] : ($true = (cQ @ X1)) & (p = $true)))),
% 0.22/0.37 inference(flattening,[],[f7])).
% 0.22/0.37 thf(f7,plain,(
% 0.22/0.37 (! [X0] : (((cQ @ X0) != $true) | (p != $true)) | (! [X1] : ($true != (cQ @ X1)) | (p != $true))) & (? [X0] : (((cQ @ X0) = $true) & (p = $true)) | (? [X1] : ($true = (cQ @ X1)) & (p = $true)))),
% 0.22/0.37 inference(nnf_transformation,[],[f6])).
% 0.22/0.37 thf(f6,plain,(
% 0.22/0.37 (? [X1] : ($true = (cQ @ X1)) & (p = $true)) <~> ? [X0] : (((cQ @ X0) = $true) & (p = $true))),
% 0.22/0.37 inference(ennf_transformation,[],[f5])).
% 0.22/0.37 thf(f5,plain,(
% 0.22/0.37 ~(? [X0] : (((cQ @ X0) = $true) & (p = $true)) <=> (? [X1] : ($true = (cQ @ X1)) & (p = $true)))),
% 0.22/0.37 inference(fool_elimination,[],[f4])).
% 0.22/0.37 thf(f4,plain,(
% 0.22/0.37 ~(? [X0] : ((cQ @ X0) & p) <=> (? [X1] : (cQ @ X1) & p))),
% 0.22/0.37 inference(rectify,[],[f2])).
% 0.22/0.37 thf(f2,negated_conjecture,(
% 0.22/0.37 ~(? [X0] : ((cQ @ X0) & p) <=> (? [X0] : (cQ @ X0) & p))),
% 0.22/0.37 inference(negated_conjecture,[],[f1])).
% 0.22/0.37 thf(f1,conjecture,(
% 0.22/0.37 ? [X0] : ((cQ @ X0) & p) <=> (? [X0] : (cQ @ X0) & p)),
% 0.22/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cX2109)).
% 0.22/0.37 thf(f38,plain,(
% 0.22/0.37 spl2_4 | ~spl2_2 | spl2_4),
% 0.22/0.37 inference(avatar_split_clause,[],[f18,f36,f25,f36])).
% 0.22/0.37 thf(f25,plain,(
% 0.22/0.37 spl2_2 <=> (p = $true)),
% 0.22/0.37 introduced(avatar_definition,[new_symbols(naming,[spl2_2])])).
% 0.22/0.37 thf(f18,plain,(
% 0.22/0.37 ( ! [X0 : $i,X1 : $i] : (($true != (cQ @ X1)) | (p != $true) | ((cQ @ X0) != $true)) )),
% 0.22/0.37 inference(duplicate_literal_removal,[],[f17])).
% 0.22/0.37 thf(f17,plain,(
% 0.22/0.37 ( ! [X0 : $i,X1 : $i] : ((p != $true) | (p != $true) | ($true != (cQ @ X1)) | ((cQ @ X0) != $true)) )),
% 0.22/0.37 inference(cnf_transformation,[],[f12])).
% 0.22/0.37 thf(f29,plain,(
% 0.22/0.37 spl2_2),
% 0.22/0.37 inference(avatar_split_clause,[],[f19,f25])).
% 0.22/0.37 thf(f19,plain,(
% 0.22/0.37 (p = $true)),
% 0.22/0.37 inference(duplicate_literal_removal,[],[f13])).
% 0.22/0.37 thf(f13,plain,(
% 0.22/0.37 (p = $true) | (p = $true)),
% 0.22/0.37 inference(cnf_transformation,[],[f12])).
% 0.22/0.37 % SZS output end Proof for theBenchmark
% 0.22/0.37 % (6773)------------------------------
% 0.22/0.37 % (6773)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.37 % (6773)Termination reason: Refutation
% 0.22/0.37
% 0.22/0.37 % (6773)Memory used [KB]: 5500
% 0.22/0.37 % (6773)Time elapsed: 0.002 s
% 0.22/0.37 % (6773)Instructions burned: 2 (million)
% 0.22/0.37 % (6773)------------------------------
% 0.22/0.37 % (6773)------------------------------
% 0.22/0.37 % (6770)Success in time 0.002 s
% 0.22/0.37 % Vampire---4.8 exiting
%------------------------------------------------------------------------------