TSTP Solution File: SEU676^2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU676^2 : TPTP v8.2.0. Released v3.7.0.
% 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 : n021.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 03:50:34 EDT 2024

% Result   : Theorem 0.22s 0.55s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12  % Problem    : SEU676^2 : TPTP v8.2.0. Released v3.7.0.
% 0.05/0.14  % 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
% 0.14/0.35  % Computer : n021.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   : Sun May 19 16:15:53 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a TH0_THM_EQU_NAR problem
% 0.14/0.35  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/sandbox/benchmark/theBenchmark.p
% 0.22/0.37  ipcrm: permission denied for id (1682702336)
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% 0.22/0.54  % (1048)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 (2998ds/2Mi)
% 0.22/0.54  % (1046)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 (2998ds/27Mi)
% 0.22/0.54  % (1045)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 (2998ds/4Mi)
% 0.22/0.54  % (1051)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.22/0.54  % (1049)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 (2998ds/275Mi)
% 0.22/0.54  % (1050)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2998ds/18Mi)
% 0.22/0.54  % (1048)Instruction limit reached!
% 0.22/0.54  % (1048)------------------------------
% 0.22/0.54  % (1048)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.54  % (1048)Termination reason: Unknown
% 0.22/0.54  % (1048)Termination phase: Property scanning
% 0.22/0.54  
% 0.22/0.54  % (1048)Memory used [KB]: 1023
% 0.22/0.54  % (1048)Time elapsed: 0.004 s
% 0.22/0.54  % (1048)Instructions burned: 3 (million)
% 0.22/0.54  % (1048)------------------------------
% 0.22/0.54  % (1048)------------------------------
% 0.22/0.55  % (1051)Instruction limit reached!
% 0.22/0.55  % (1051)------------------------------
% 0.22/0.55  % (1051)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.55  % (1051)Termination reason: Unknown
% 0.22/0.55  % (1051)Termination phase: Preprocessing 3
% 0.22/0.55  
% 0.22/0.55  % (1051)Memory used [KB]: 1023
% 0.22/0.55  % (1051)Time elapsed: 0.004 s
% 0.22/0.55  % (1051)Instructions burned: 3 (million)
% 0.22/0.55  % (1051)------------------------------
% 0.22/0.55  % (1051)------------------------------
% 0.22/0.55  % (1045)Instruction limit reached!
% 0.22/0.55  % (1045)------------------------------
% 0.22/0.55  % (1045)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.55  % (1045)Termination reason: Unknown
% 0.22/0.55  % (1045)Termination phase: Property scanning
% 0.22/0.55  
% 0.22/0.55  % (1045)Memory used [KB]: 1023
% 0.22/0.55  % (1045)Time elapsed: 0.004 s
% 0.22/0.55  % (1045)Instructions burned: 5 (million)
% 0.22/0.55  % (1045)------------------------------
% 0.22/0.55  % (1045)------------------------------
% 0.22/0.55  % (1049)First to succeed.
% 0.22/0.55  % (1049)Refutation found. Thanks to Tanya!
% 0.22/0.55  % SZS status Theorem for theBenchmark
% 0.22/0.55  % SZS output start Proof for theBenchmark
% 0.22/0.55  thf(func_def_0, type, in: $i > $i > $o).
% 0.22/0.55  thf(func_def_2, type, setadjoin: $i > $i > $i).
% 0.22/0.55  thf(func_def_3, type, powerset: $i > $i).
% 0.22/0.55  thf(func_def_4, type, setunion: $i > $i).
% 0.22/0.55  thf(func_def_5, type, dsetconstr: $i > ($i > $o) > $i).
% 0.22/0.55  thf(func_def_6, type, subset: $i > $i > $o).
% 0.22/0.55  thf(func_def_7, type, kpair: $i > $i > $i).
% 0.22/0.55  thf(func_def_8, type, cartprod: $i > $i > $i).
% 0.22/0.55  thf(func_def_9, type, singleton: $i > $o).
% 0.22/0.55  thf(func_def_11, type, ex1: $i > ($i > $o) > $o).
% 0.22/0.55  thf(func_def_12, type, breln: $i > $i > $i > $o).
% 0.22/0.55  thf(func_def_13, type, func: $i > $i > $i > $o).
% 0.22/0.55  thf(func_def_14, type, funcSet: $i > $i > $i).
% 0.22/0.55  thf(func_def_15, type, ap: $i > $i > $i > $i > $i).
% 0.22/0.55  thf(f74,plain,(
% 0.22/0.55    $false),
% 0.22/0.55    inference(subsumption_resolution,[],[f73,f68])).
% 0.22/0.55  thf(f68,plain,(
% 0.22/0.55    ((func @ sK0 @ sK2 @ sK1) = $true)),
% 0.22/0.55    inference(trivial_inequality_removal,[],[f67])).
% 0.22/0.55  thf(f67,plain,(
% 0.22/0.55    ($true != $true) | ((func @ sK0 @ sK2 @ sK1) = $true)),
% 0.22/0.55    inference(superposition,[],[f65,f48])).
% 0.22/0.55  thf(f48,plain,(
% 0.22/0.55    ((in @ sK1 @ (funcSet @ sK0 @ sK2)) = $true)),
% 0.22/0.55    inference(cnf_transformation,[],[f36])).
% 0.22/0.55  thf(f36,plain,(
% 0.22/0.55    ((((in @ sK3 @ sK0) = $true) & ($true != (in @ (ap @ sK0 @ sK2 @ sK1 @ sK3) @ sK2))) & ((in @ sK1 @ (funcSet @ sK0 @ sK2)) = $true)) & (app = $true) & (infuncsetfunc = $true)),
% 0.22/0.55    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f33,f35,f34])).
% 0.22/0.55  thf(f34,plain,(
% 0.22/0.55    ? [X0,X1,X2] : (? [X3] : (((in @ X3 @ X0) = $true) & ((in @ (ap @ X0 @ X2 @ X1 @ X3) @ X2) != $true)) & ((in @ X1 @ (funcSet @ X0 @ X2)) = $true)) => (? [X3] : (((in @ X3 @ sK0) = $true) & ((in @ (ap @ sK0 @ sK2 @ sK1 @ X3) @ sK2) != $true)) & ((in @ sK1 @ (funcSet @ sK0 @ sK2)) = $true))),
% 0.22/0.55    introduced(choice_axiom,[])).
% 0.22/0.55  thf(f35,plain,(
% 0.22/0.55    ? [X3] : (((in @ X3 @ sK0) = $true) & ((in @ (ap @ sK0 @ sK2 @ sK1 @ X3) @ sK2) != $true)) => (((in @ sK3 @ sK0) = $true) & ($true != (in @ (ap @ sK0 @ sK2 @ sK1 @ sK3) @ sK2)))),
% 0.22/0.55    introduced(choice_axiom,[])).
% 0.22/0.55  thf(f33,plain,(
% 0.22/0.55    ? [X0,X1,X2] : (? [X3] : (((in @ X3 @ X0) = $true) & ((in @ (ap @ X0 @ X2 @ X1 @ X3) @ X2) != $true)) & ((in @ X1 @ (funcSet @ X0 @ X2)) = $true)) & (app = $true) & (infuncsetfunc = $true)),
% 0.22/0.55    inference(flattening,[],[f32])).
% 0.22/0.55  thf(f32,plain,(
% 0.22/0.55    (? [X0,X1,X2] : (? [X3] : (((in @ X3 @ X0) = $true) & ((in @ (ap @ X0 @ X2 @ X1 @ X3) @ X2) != $true)) & ((in @ X1 @ (funcSet @ X0 @ X2)) = $true)) & (infuncsetfunc = $true)) & (app = $true)),
% 0.22/0.55    inference(ennf_transformation,[],[f17])).
% 0.22/0.55  thf(f17,plain,(
% 0.22/0.55    ~((app = $true) => ((infuncsetfunc = $true) => ! [X0,X1,X2] : (((in @ X1 @ (funcSet @ X0 @ X2)) = $true) => ! [X3] : (((in @ X3 @ X0) = $true) => ((in @ (ap @ X0 @ X2 @ X1 @ X3) @ X2) = $true)))))),
% 0.22/0.55    inference(fool_elimination,[],[f16])).
% 0.22/0.55  thf(f16,plain,(
% 0.22/0.55    ~(app => (infuncsetfunc => ! [X0,X1,X2] : ((in @ X1 @ (funcSet @ X0 @ X2)) => ! [X3] : ((in @ X3 @ X0) => (in @ (ap @ X0 @ X2 @ X1 @ X3) @ X2)))))),
% 0.22/0.55    inference(rectify,[],[f10])).
% 0.22/0.55  thf(f10,negated_conjecture,(
% 0.22/0.55    ~(app => (infuncsetfunc => ! [X0,X7,X3] : ((in @ X7 @ (funcSet @ X0 @ X3)) => ! [X1] : ((in @ X1 @ X0) => (in @ (ap @ X0 @ X3 @ X7 @ X1) @ X3)))))),
% 0.22/0.55    inference(negated_conjecture,[],[f9])).
% 0.22/0.55  thf(f9,conjecture,(
% 0.22/0.55    app => (infuncsetfunc => ! [X0,X7,X3] : ((in @ X7 @ (funcSet @ X0 @ X3)) => ! [X1] : ((in @ X1 @ X0) => (in @ (ap @ X0 @ X3 @ X7 @ X1) @ X3))))),
% 0.22/0.55    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap2p)).
% 0.22/0.55  thf(f65,plain,(
% 0.22/0.55    ( ! [X3 : $i,X4 : $i,X5 : $i] : (((in @ X4 @ (funcSet @ X5 @ X3)) != $true) | ((func @ X5 @ X3 @ X4) = $true)) )),
% 0.22/0.55    inference(trivial_inequality_removal,[],[f60])).
% 0.22/0.55  thf(f60,plain,(
% 0.22/0.55    ( ! [X3 : $i,X4 : $i,X5 : $i] : (((func @ X5 @ X3 @ X4) = $true) | ((in @ X4 @ (funcSet @ X5 @ X3)) != $true) | ($true != $true)) )),
% 0.22/0.55    inference(definition_unfolding,[],[f51,f46])).
% 0.22/0.55  thf(f46,plain,(
% 0.22/0.55    (infuncsetfunc = $true)),
% 0.22/0.55    inference(cnf_transformation,[],[f36])).
% 0.22/0.55  thf(f51,plain,(
% 0.22/0.55    ( ! [X3 : $i,X4 : $i,X5 : $i] : (((func @ X5 @ X3 @ X4) = $true) | ((in @ X4 @ (funcSet @ X5 @ X3)) != $true) | (infuncsetfunc != $true)) )),
% 0.22/0.55    inference(cnf_transformation,[],[f40])).
% 0.22/0.55  thf(f40,plain,(
% 0.22/0.55    ((infuncsetfunc = $true) | (($true != (func @ sK6 @ sK4 @ sK5)) & ($true = (in @ sK5 @ (funcSet @ sK6 @ sK4))))) & (! [X3,X4,X5] : (((func @ X5 @ X3 @ X4) = $true) | ((in @ X4 @ (funcSet @ X5 @ X3)) != $true)) | (infuncsetfunc != $true))),
% 0.22/0.55    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6])],[f38,f39])).
% 0.22/0.55  thf(f39,plain,(
% 0.22/0.55    ? [X0,X1,X2] : (((func @ X2 @ X0 @ X1) != $true) & ((in @ X1 @ (funcSet @ X2 @ X0)) = $true)) => (($true != (func @ sK6 @ sK4 @ sK5)) & ($true = (in @ sK5 @ (funcSet @ sK6 @ sK4))))),
% 0.22/0.55    introduced(choice_axiom,[])).
% 0.22/0.55  thf(f38,plain,(
% 0.22/0.55    ((infuncsetfunc = $true) | ? [X0,X1,X2] : (((func @ X2 @ X0 @ X1) != $true) & ((in @ X1 @ (funcSet @ X2 @ X0)) = $true))) & (! [X3,X4,X5] : (((func @ X5 @ X3 @ X4) = $true) | ((in @ X4 @ (funcSet @ X5 @ X3)) != $true)) | (infuncsetfunc != $true))),
% 0.22/0.55    inference(rectify,[],[f37])).
% 0.22/0.55  thf(f37,plain,(
% 0.22/0.55    ((infuncsetfunc = $true) | ? [X0,X1,X2] : (((func @ X2 @ X0 @ X1) != $true) & ((in @ X1 @ (funcSet @ X2 @ X0)) = $true))) & (! [X0,X1,X2] : (((func @ X2 @ X0 @ X1) = $true) | ((in @ X1 @ (funcSet @ X2 @ X0)) != $true)) | (infuncsetfunc != $true))),
% 0.22/0.55    inference(nnf_transformation,[],[f30])).
% 0.22/0.55  thf(f30,plain,(
% 0.22/0.55    (infuncsetfunc = $true) <=> ! [X0,X1,X2] : (((func @ X2 @ X0 @ X1) = $true) | ((in @ X1 @ (funcSet @ X2 @ X0)) != $true))),
% 0.22/0.55    inference(ennf_transformation,[],[f27])).
% 0.22/0.55  thf(f27,plain,(
% 0.22/0.55    (infuncsetfunc = $true) <=> ! [X0,X1,X2] : (((in @ X1 @ (funcSet @ X2 @ X0)) = $true) => ((func @ X2 @ X0 @ X1) = $true))),
% 0.22/0.55    inference(fool_elimination,[],[f26])).
% 0.22/0.55  thf(f26,plain,(
% 0.22/0.55    (infuncsetfunc = ! [X0,X1,X2] : ((in @ X1 @ (funcSet @ X2 @ X0)) => (func @ X2 @ X0 @ X1)))),
% 0.22/0.55    inference(rectify,[],[f8])).
% 0.22/0.55  thf(f8,axiom,(
% 0.22/0.55    (infuncsetfunc = ! [X3,X7,X0] : ((in @ X7 @ (funcSet @ X0 @ X3)) => (func @ X0 @ X3 @ X7)))),
% 0.22/0.55    file('/export/starexec/sandbox/benchmark/theBenchmark.p',infuncsetfunc)).
% 0.22/0.55  thf(f73,plain,(
% 0.22/0.55    ((func @ sK0 @ sK2 @ sK1) != $true)),
% 0.22/0.55    inference(subsumption_resolution,[],[f72,f50])).
% 0.22/0.55  thf(f50,plain,(
% 0.22/0.55    ((in @ sK3 @ sK0) = $true)),
% 0.22/0.55    inference(cnf_transformation,[],[f36])).
% 0.22/0.55  thf(f72,plain,(
% 0.22/0.55    ((in @ sK3 @ sK0) != $true) | ((func @ sK0 @ sK2 @ sK1) != $true)),
% 0.22/0.55    inference(trivial_inequality_removal,[],[f69])).
% 0.22/0.55  thf(f69,plain,(
% 0.22/0.55    ($true != $true) | ((in @ sK3 @ sK0) != $true) | ((func @ sK0 @ sK2 @ sK1) != $true)),
% 0.22/0.55    inference(superposition,[],[f49,f66])).
% 0.22/0.55  thf(f66,plain,(
% 0.22/0.55    ( ! [X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((in @ (ap @ X6 @ X5 @ X4 @ X7) @ X5) = $true) | ((in @ X7 @ X6) != $true) | ((func @ X6 @ X5 @ X4) != $true)) )),
% 0.22/0.55    inference(trivial_inequality_removal,[],[f64])).
% 0.22/0.55  thf(f64,plain,(
% 0.22/0.55    ( ! [X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((func @ X6 @ X5 @ X4) != $true) | ($true != $true) | ((in @ (ap @ X6 @ X5 @ X4 @ X7) @ X5) = $true) | ((in @ X7 @ X6) != $true)) )),
% 0.22/0.55    inference(definition_unfolding,[],[f54,f47])).
% 0.22/0.55  thf(f47,plain,(
% 0.22/0.55    (app = $true)),
% 0.22/0.55    inference(cnf_transformation,[],[f36])).
% 0.22/0.55  thf(f54,plain,(
% 0.22/0.55    ( ! [X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((func @ X6 @ X5 @ X4) != $true) | ((in @ X7 @ X6) != $true) | ((in @ (ap @ X6 @ X5 @ X4 @ X7) @ X5) = $true) | (app != $true)) )),
% 0.22/0.55    inference(cnf_transformation,[],[f45])).
% 0.22/0.55  thf(f45,plain,(
% 0.22/0.55    ((app = $true) | (((func @ sK9 @ sK8 @ sK7) = $true) & (((in @ sK10 @ sK9) = $true) & ((in @ (ap @ sK9 @ sK8 @ sK7 @ sK10) @ sK8) != $true)))) & (! [X4,X5,X6] : (((func @ X6 @ X5 @ X4) != $true) | ! [X7] : (((in @ X7 @ X6) != $true) | ((in @ (ap @ X6 @ X5 @ X4 @ X7) @ X5) = $true))) | (app != $true))),
% 0.22/0.55    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9,sK10])],[f42,f44,f43])).
% 0.22/0.55  thf(f43,plain,(
% 0.22/0.55    ? [X0,X1,X2] : (((func @ X2 @ X1 @ X0) = $true) & ? [X3] : (((in @ X3 @ X2) = $true) & ((in @ (ap @ X2 @ X1 @ X0 @ X3) @ X1) != $true))) => (((func @ sK9 @ sK8 @ sK7) = $true) & ? [X3] : (((in @ X3 @ sK9) = $true) & ((in @ (ap @ sK9 @ sK8 @ sK7 @ X3) @ sK8) != $true)))),
% 0.22/0.55    introduced(choice_axiom,[])).
% 0.22/0.55  thf(f44,plain,(
% 0.22/0.55    ? [X3] : (((in @ X3 @ sK9) = $true) & ((in @ (ap @ sK9 @ sK8 @ sK7 @ X3) @ sK8) != $true)) => (((in @ sK10 @ sK9) = $true) & ((in @ (ap @ sK9 @ sK8 @ sK7 @ sK10) @ sK8) != $true))),
% 0.22/0.55    introduced(choice_axiom,[])).
% 0.22/0.55  thf(f42,plain,(
% 0.22/0.55    ((app = $true) | ? [X0,X1,X2] : (((func @ X2 @ X1 @ X0) = $true) & ? [X3] : (((in @ X3 @ X2) = $true) & ((in @ (ap @ X2 @ X1 @ X0 @ X3) @ X1) != $true)))) & (! [X4,X5,X6] : (((func @ X6 @ X5 @ X4) != $true) | ! [X7] : (((in @ X7 @ X6) != $true) | ((in @ (ap @ X6 @ X5 @ X4 @ X7) @ X5) = $true))) | (app != $true))),
% 0.22/0.55    inference(rectify,[],[f41])).
% 0.22/0.55  thf(f41,plain,(
% 0.22/0.55    ((app = $true) | ? [X0,X1,X2] : (((func @ X2 @ X1 @ X0) = $true) & ? [X3] : (((in @ X3 @ X2) = $true) & ((in @ (ap @ X2 @ X1 @ X0 @ X3) @ X1) != $true)))) & (! [X0,X1,X2] : (((func @ X2 @ X1 @ X0) != $true) | ! [X3] : (((in @ X3 @ X2) != $true) | ((in @ (ap @ X2 @ X1 @ X0 @ X3) @ X1) = $true))) | (app != $true))),
% 0.22/0.55    inference(nnf_transformation,[],[f31])).
% 0.22/0.55  thf(f31,plain,(
% 0.22/0.55    (app = $true) <=> ! [X0,X1,X2] : (((func @ X2 @ X1 @ X0) != $true) | ! [X3] : (((in @ X3 @ X2) != $true) | ((in @ (ap @ X2 @ X1 @ X0 @ X3) @ X1) = $true)))),
% 0.22/0.55    inference(ennf_transformation,[],[f23])).
% 0.22/0.55  thf(f23,plain,(
% 0.22/0.55    ! [X0,X1,X2] : (((func @ X2 @ X1 @ X0) = $true) => ! [X3] : (((in @ X3 @ X2) = $true) => ((in @ (ap @ X2 @ X1 @ X0 @ X3) @ X1) = $true))) <=> (app = $true)),
% 0.22/0.55    inference(fool_elimination,[],[f22])).
% 0.22/0.55  thf(f22,plain,(
% 0.22/0.55    (! [X0,X1,X2] : ((func @ X2 @ X1 @ X0) => ! [X3] : ((in @ X3 @ X2) => (in @ (ap @ X2 @ X1 @ X0 @ X3) @ X1))) = app)),
% 0.22/0.55    inference(rectify,[],[f7])).
% 0.22/0.55  thf(f7,axiom,(
% 0.22/0.55    (! [X7,X3,X0] : ((func @ X0 @ X3 @ X7) => ! [X1] : ((in @ X1 @ X0) => (in @ (ap @ X0 @ X3 @ X7 @ X1) @ X3))) = app)),
% 0.22/0.55    file('/export/starexec/sandbox/benchmark/theBenchmark.p',app)).
% 0.22/0.55  thf(f49,plain,(
% 0.22/0.55    ($true != (in @ (ap @ sK0 @ sK2 @ sK1 @ sK3) @ sK2))),
% 0.22/0.55    inference(cnf_transformation,[],[f36])).
% 0.22/0.55  % SZS output end Proof for theBenchmark
% 0.22/0.55  % (1049)------------------------------
% 0.22/0.55  % (1049)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.55  % (1049)Termination reason: Refutation
% 0.22/0.55  
% 0.22/0.55  % (1049)Memory used [KB]: 5500
% 0.22/0.55  % (1049)Time elapsed: 0.007 s
% 0.22/0.55  % (1049)Instructions burned: 5 (million)
% 0.22/0.55  % (1049)------------------------------
% 0.22/0.55  % (1049)------------------------------
% 0.22/0.55  % (881)Success in time 0.19 s
% 0.22/0.55  % Vampire---4.8 exiting
%------------------------------------------------------------------------------