TSTP Solution File: SYO506^1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO506^1 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n025.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 09:05:34 EDT 2024

% Result   : Theorem 0.13s 0.37s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SYO506^1 : TPTP v8.2.0. Released v4.1.0.
% 0.06/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.35  % Computer : n025.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon May 20 09:05:23 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a TH0_THM_EQU_NAR problem
% 0.13/0.35  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/sandbox2/benchmark/theBenchmark.p
% 0.13/0.37  % (21959)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (3000ds/3Mi)
% 0.13/0.37  % (21957)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (3000ds/275Mi)
% 0.13/0.37  % (21955)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.13/0.37  % (21953)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (3000ds/4Mi)
% 0.13/0.37  % (21952)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.13/0.37  % (21958)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.13/0.37  % (21956)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.13/0.37  % (21954)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)
% 0.13/0.37  % (21956)Instruction limit reached!
% 0.13/0.37  % (21956)------------------------------
% 0.13/0.37  % (21956)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (21956)Termination reason: Unknown
% 0.13/0.37  % (21956)Termination phase: Saturation
% 0.13/0.37  
% 0.13/0.37  % (21956)Memory used [KB]: 895
% 0.13/0.37  % (21956)Time elapsed: 0.003 s
% 0.13/0.37  % (21956)Instructions burned: 2 (million)
% 0.13/0.37  % (21956)------------------------------
% 0.13/0.37  % (21956)------------------------------
% 0.13/0.37  % (21957)Refutation not found, incomplete strategy
% 0.13/0.37  % (21957)------------------------------
% 0.13/0.37  % (21957)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (21955)Refutation not found, incomplete strategy
% 0.13/0.37  % (21955)------------------------------
% 0.13/0.37  % (21955)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (21955)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.37  
% 0.13/0.37  
% 0.13/0.37  % (21955)Memory used [KB]: 5500
% 0.13/0.37  % (21955)Time elapsed: 0.003 s
% 0.13/0.37  % (21955)Instructions burned: 1 (million)
% 0.13/0.37  % (21955)------------------------------
% 0.13/0.37  % (21955)------------------------------
% 0.13/0.37  % (21954)Refutation not found, incomplete strategy
% 0.13/0.37  % (21954)------------------------------
% 0.13/0.37  % (21954)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (21957)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.37  
% 0.13/0.37  
% 0.13/0.37  % (21957)Memory used [KB]: 5500
% 0.13/0.37  % (21957)Time elapsed: 0.003 s
% 0.13/0.37  % (21957)Instructions burned: 2 (million)
% 0.13/0.37  % (21957)------------------------------
% 0.13/0.37  % (21957)------------------------------
% 0.13/0.37  % (21954)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.37  
% 0.13/0.37  
% 0.13/0.37  % (21954)Memory used [KB]: 5500
% 0.13/0.37  % (21954)Time elapsed: 0.004 s
% 0.13/0.37  % (21953)Refutation not found, incomplete strategy
% 0.13/0.37  % (21953)------------------------------
% 0.13/0.37  % (21953)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (21953)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.37  
% 0.13/0.37  
% 0.13/0.37  % (21953)Memory used [KB]: 5500
% 0.13/0.37  % (21953)Time elapsed: 0.004 s
% 0.13/0.37  % (21953)Instructions burned: 2 (million)
% 0.13/0.37  % (21953)------------------------------
% 0.13/0.37  % (21953)------------------------------
% 0.13/0.37  % (21954)Instructions burned: 1 (million)
% 0.13/0.37  % (21954)------------------------------
% 0.13/0.37  % (21954)------------------------------
% 0.13/0.37  % (21959)Refutation not found, incomplete strategy
% 0.13/0.37  % (21959)------------------------------
% 0.13/0.37  % (21959)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (21959)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.37  
% 0.13/0.37  
% 0.13/0.37  % (21959)Memory used [KB]: 5500
% 0.13/0.37  % (21959)Time elapsed: 0.004 s
% 0.13/0.37  % (21959)Instructions burned: 2 (million)
% 0.13/0.37  % (21959)------------------------------
% 0.13/0.37  % (21959)------------------------------
% 0.13/0.37  % (21952)First to succeed.
% 0.13/0.37  % (21958)Also succeeded, but the first one will report.
% 0.13/0.37  % (21952)Refutation found. Thanks to Tanya!
% 0.13/0.37  % SZS status Theorem for theBenchmark
% 0.13/0.37  % SZS output start Proof for theBenchmark
% 0.13/0.37  thf(func_def_0, type, c: $o > $i > $i > $i).
% 0.13/0.37  thf(func_def_8, type, ph3: !>[X0: $tType]:(X0)).
% 0.13/0.37  thf(f43,plain,(
% 0.13/0.37    $false),
% 0.13/0.37    inference(avatar_sat_refutation,[],[f34,f36,f38,f42])).
% 0.13/0.37  thf(f42,plain,(
% 0.13/0.37    ~spl2_2),
% 0.13/0.37    inference(avatar_contradiction_clause,[],[f41])).
% 0.13/0.37  thf(f41,plain,(
% 0.13/0.37    $false | ~spl2_2),
% 0.13/0.37    inference(subsumption_resolution,[],[f40,f10])).
% 0.13/0.37  thf(f10,plain,(
% 0.13/0.37    ( ! [X4 : $i,X5 : $i] : (((c @ $true @ X5 @ X4) = X5)) )),
% 0.13/0.37    inference(cnf_transformation,[],[f9])).
% 0.13/0.37  thf(f9,plain,(
% 0.13/0.37    (sK1 != (c @ (sK0 = sK1) @ sK0 @ sK1)) & ! [X2,X3] : ((c @ $false @ X3 @ X2) = X2) & ! [X4,X5] : ((c @ $true @ X5 @ X4) = X5)),
% 0.13/0.37    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f7,f8])).
% 0.13/0.37  thf(f8,plain,(
% 0.13/0.37    ? [X0,X1] : ((c @ (X0 = X1) @ X0 @ X1) != X1) => (sK1 != (c @ (sK0 = sK1) @ sK0 @ sK1))),
% 0.13/0.37    introduced(choice_axiom,[])).
% 0.13/0.37  thf(f7,plain,(
% 0.13/0.37    ? [X0,X1] : ((c @ (X0 = X1) @ X0 @ X1) != X1) & ! [X2,X3] : ((c @ $false @ X3 @ X2) = X2) & ! [X4,X5] : ((c @ $true @ X5 @ X4) = X5)),
% 0.13/0.37    inference(rectify,[],[f6])).
% 0.13/0.37  thf(f6,plain,(
% 0.13/0.37    ? [X4,X5] : ((c @ (X4 = X5) @ X4 @ X5) != X5) & ! [X2,X3] : ((c @ $false @ X3 @ X2) = X2) & ! [X0,X1] : ((c @ $true @ X1 @ X0) = X1)),
% 0.13/0.37    inference(ennf_transformation,[],[f5])).
% 0.13/0.37  thf(f5,plain,(
% 0.13/0.37    ~(~! [X0,X1] : ((c @ $true @ X1 @ X0) = X1) | ! [X4,X5] : ((c @ (X4 = X5) @ X4 @ X5) = X5) | ~! [X2,X3] : ((c @ $false @ X3 @ X2) = X2))),
% 0.13/0.37    inference(fool_elimination,[],[f4])).
% 0.13/0.37  thf(f4,plain,(
% 0.13/0.37    ~(~! [X0,X1] : (X1 = (c @ $true @ X1 @ X0)) | ~! [X2,X3] : (X2 = (c @ $false @ X3 @ X2)) | ! [X4,X5] : ((c @ (X4 = X5) @ X4 @ X5) = X5))),
% 0.13/0.37    inference(rectify,[],[f2])).
% 0.13/0.37  thf(f2,negated_conjecture,(
% 0.13/0.37    ~(~! [X1,X0] : (X0 = (c @ $true @ X0 @ X1)) | ~! [X1,X0] : (X1 = (c @ $false @ X0 @ X1)) | ! [X0,X1] : ((c @ (X0 = X1) @ X0 @ X1) = X1))),
% 0.13/0.37    inference(negated_conjecture,[],[f1])).
% 0.13/0.37  thf(f1,conjecture,(
% 0.13/0.37    ~! [X1,X0] : (X0 = (c @ $true @ X0 @ X1)) | ~! [X1,X0] : (X1 = (c @ $false @ X0 @ X1)) | ! [X0,X1] : ((c @ (X0 = X1) @ X0 @ X1) = X1)),
% 0.13/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',claim)).
% 0.13/0.37  thf(f40,plain,(
% 0.13/0.37    ((c @ $true @ sK0 @ sK0) != sK0) | ~spl2_2),
% 0.13/0.37    inference(boolean_simplification,[],[f39])).
% 0.13/0.37  thf(f39,plain,(
% 0.13/0.37    (sK0 != (c @ (sK0 = sK0) @ sK0 @ sK0)) | ~spl2_2),
% 0.13/0.37    inference(superposition,[],[f12,f25])).
% 0.13/0.37  thf(f25,plain,(
% 0.13/0.37    (sK1 = sK0) | ~spl2_2),
% 0.13/0.37    inference(avatar_component_clause,[],[f24])).
% 0.13/0.37  thf(f24,plain,(
% 0.13/0.37    spl2_2 <=> (sK1 = sK0)),
% 0.13/0.37    introduced(avatar_definition,[new_symbols(naming,[spl2_2])])).
% 0.13/0.37  thf(f12,plain,(
% 0.13/0.37    (sK1 != (c @ (sK0 = sK1) @ sK0 @ sK1))),
% 0.13/0.37    inference(cnf_transformation,[],[f9])).
% 0.13/0.37  thf(f38,plain,(
% 0.13/0.37    ~spl2_4),
% 0.13/0.37    inference(avatar_contradiction_clause,[],[f37])).
% 0.13/0.37  thf(f37,plain,(
% 0.13/0.37    $false | ~spl2_4),
% 0.13/0.37    inference(equality_resolution,[],[f33])).
% 0.13/0.37  thf(f33,plain,(
% 0.13/0.37    ( ! [X0 : $i] : ((sK0 != X0)) ) | ~spl2_4),
% 0.13/0.37    inference(avatar_component_clause,[],[f32])).
% 0.13/0.37  thf(f32,plain,(
% 0.13/0.37    spl2_4 <=> ! [X0] : (sK0 != X0)),
% 0.13/0.37    introduced(avatar_definition,[new_symbols(naming,[spl2_4])])).
% 0.13/0.37  thf(f36,plain,(
% 0.13/0.37    ~spl2_3),
% 0.13/0.37    inference(avatar_contradiction_clause,[],[f35])).
% 0.13/0.37  thf(f35,plain,(
% 0.13/0.37    $false | ~spl2_3),
% 0.13/0.37    inference(equality_resolution,[],[f29])).
% 0.13/0.37  thf(f29,plain,(
% 0.13/0.37    ( ! [X1 : $i] : ((sK1 != X1)) ) | ~spl2_3),
% 0.13/0.37    inference(avatar_component_clause,[],[f28])).
% 0.13/0.37  thf(f28,plain,(
% 0.13/0.37    spl2_3 <=> ! [X1] : (sK1 != X1)),
% 0.13/0.37    introduced(avatar_definition,[new_symbols(naming,[spl2_3])])).
% 0.13/0.37  thf(f34,plain,(
% 0.13/0.37    spl2_3 | spl2_4 | spl2_2),
% 0.13/0.37    inference(avatar_split_clause,[],[f18,f24,f32,f28])).
% 0.13/0.37  thf(f18,plain,(
% 0.13/0.37    ( ! [X0 : $i,X1 : $i] : ((sK0 != X0) | (sK1 != X1) | (sK1 = sK0)) )),
% 0.13/0.37    inference(equality_proxy_clausification,[],[f17])).
% 0.13/0.37  thf(f17,plain,(
% 0.13/0.37    ( ! [X0 : $i,X1 : $i] : ((sK1 != X1) | ((sK0 = sK1) != $false) | (sK0 != X0)) )),
% 0.13/0.37    inference(duplicate_literal_removal,[],[f15])).
% 0.13/0.37  thf(f15,plain,(
% 0.13/0.37    ( ! [X0 : $i,X1 : $i] : ((sK1 != X1) | (sK0 != X0) | (sK1 != X1) | ((sK0 = sK1) != $false)) )),
% 0.13/0.37    inference(constrained_superposition,[],[f12,f11])).
% 0.13/0.37  thf(f11,plain,(
% 0.13/0.37    ( ! [X2 : $i,X3 : $i] : (((c @ $false @ X3 @ X2) = X2)) )),
% 0.13/0.37    inference(cnf_transformation,[],[f9])).
% 0.13/0.37  % SZS output end Proof for theBenchmark
% 0.13/0.37  % (21952)------------------------------
% 0.13/0.37  % (21952)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (21952)Termination reason: Refutation
% 0.13/0.37  
% 0.13/0.37  % (21952)Memory used [KB]: 5500
% 0.13/0.37  % (21952)Time elapsed: 0.005 s
% 0.13/0.37  % (21952)Instructions burned: 2 (million)
% 0.13/0.37  % (21952)------------------------------
% 0.13/0.37  % (21952)------------------------------
% 0.13/0.37  % (21951)Success in time 0.006 s
% 0.13/0.38  % Vampire---4.8 exiting
%------------------------------------------------------------------------------