TSTP Solution File: SYO033^1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO033^1 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n016.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 09:02:18 EDT 2024

% Result   : Theorem 0.22s 0.38s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYO033^1 : TPTP v8.2.0. Released v3.7.0.
% 0.07/0.15  % 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
% 0.15/0.36  % Computer : n016.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   : Mon May 20 10:17:23 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/sandbox2/benchmark/theBenchmark.p
% 0.15/0.38  % (22178)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.15/0.38  % (22181)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.15/0.38  % (22180)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)
% 0.15/0.38  % (22179)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)
% 0.15/0.38  % (22182)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)
% 0.15/0.38  % (22184)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.15/0.38  % (22181)Instruction limit reached!
% 0.15/0.38  % (22181)------------------------------
% 0.15/0.38  % (22181)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38  % (22181)Termination reason: Unknown
% 0.15/0.38  % (22181)Termination phase: Saturation
% 0.15/0.38  
% 0.15/0.38  % (22181)Memory used [KB]: 5500
% 0.15/0.38  % (22181)Time elapsed: 0.003 s
% 0.15/0.38  % (22181)Instructions burned: 2 (million)
% 0.15/0.38  % (22181)------------------------------
% 0.15/0.38  % (22181)------------------------------
% 0.15/0.38  % (22180)Refutation not found, incomplete strategy
% 0.15/0.38  % (22180)------------------------------
% 0.15/0.38  % (22180)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38  % (22180)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.38  
% 0.15/0.38  
% 0.15/0.38  % (22180)Memory used [KB]: 5500
% 0.15/0.38  % (22180)Time elapsed: 0.003 s
% 0.15/0.38  % (22180)Instructions burned: 2 (million)
% 0.15/0.38  % (22180)------------------------------
% 0.15/0.38  % (22180)------------------------------
% 0.15/0.38  % (22183)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)
% 0.15/0.38  % (22182)First to succeed.
% 0.15/0.38  % (22179)Instruction limit reached!
% 0.15/0.38  % (22179)------------------------------
% 0.15/0.38  % (22179)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38  % (22179)Termination reason: Unknown
% 0.15/0.38  % (22179)Termination phase: Saturation
% 0.15/0.38  
% 0.15/0.38  % (22179)Memory used [KB]: 5500
% 0.15/0.38  % (22179)Time elapsed: 0.005 s
% 0.15/0.38  % (22179)Instructions burned: 4 (million)
% 0.15/0.38  % (22179)------------------------------
% 0.15/0.38  % (22179)------------------------------
% 0.22/0.38  % (22182)Refutation found. Thanks to Tanya!
% 0.22/0.38  % SZS status Theorem for theBenchmark
% 0.22/0.38  % SZS output start Proof for theBenchmark
% 0.22/0.38  thf(func_def_11, type, ph1: !>[X0: $tType]:(X0)).
% 0.22/0.38  thf(func_def_12, type, sK2: (($i > $o) > $o) > $i > $o).
% 0.22/0.38  thf(f17,plain,(
% 0.22/0.38    $false),
% 0.22/0.38    inference(equality_resolution,[],[f13])).
% 0.22/0.38  thf(f13,plain,(
% 0.22/0.38    ( ! [X1 : ($i > $o) > $o] : (((X1 @ (sK2 @ X1)) != (!! @ $i @ (sK2 @ X1)))) )),
% 0.22/0.38    inference(binary_proxy_clausification,[],[f12])).
% 0.22/0.38  thf(f12,plain,(
% 0.22/0.38    ( ! [X1 : ($i > $o) > $o] : ((((!! @ $i @ (sK2 @ X1)) = (X1 @ (sK2 @ X1))) = $false)) )),
% 0.22/0.38    inference(beta_eta_normalization,[],[f11])).
% 0.22/0.38  thf(f11,plain,(
% 0.22/0.38    ( ! [X1 : ($i > $o) > $o] : ((((^[Y0 : $i > $o]: ((!! @ $i @ Y0) = (X1 @ Y0))) @ (sK2 @ X1)) = $false)) )),
% 0.22/0.38    inference(sigma_clausification,[],[f10])).
% 0.22/0.38  thf(f10,plain,(
% 0.22/0.38    ( ! [X1 : ($i > $o) > $o] : (((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ Y0) = (X1 @ Y0)))) = $false)) )),
% 0.22/0.38    inference(beta_eta_normalization,[],[f9])).
% 0.22/0.38  thf(f9,plain,(
% 0.22/0.38    ( ! [X1 : ($i > $o) > $o] : (($false = ((^[Y0 : ($i > $o) > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ Y1) = (Y0 @ Y1))))) @ X1))) )),
% 0.22/0.38    inference(pi_clausification,[],[f8])).
% 0.22/0.38  thf(f8,plain,(
% 0.22/0.38    ($false = (?? @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ Y1) = (Y0 @ Y1)))))))),
% 0.22/0.38    inference(not_proxy_clausification,[],[f7])).
% 0.22/0.38  thf(f7,plain,(
% 0.22/0.38    ($true = (~ (?? @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ Y1) = (Y0 @ Y1))))))))),
% 0.22/0.38    inference(beta_eta_normalization,[],[f6])).
% 0.22/0.38  thf(f6,plain,(
% 0.22/0.38    ($true = (~ (?? @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2))) = (Y0 @ Y1))))))))),
% 0.22/0.38    inference(cnf_transformation,[],[f5])).
% 0.22/0.38  thf(f5,plain,(
% 0.22/0.38    ($true = (~ (?? @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2))) = (Y0 @ Y1))))))))),
% 0.22/0.38    inference(fool_elimination,[],[f4])).
% 0.22/0.38  thf(f4,plain,(
% 0.22/0.38    ~? [X0 : ($i > $o) > $o] : ! [X1 : $i > $o] : (! [X2] : (X1 @ X2) <=> (X0 @ X1))),
% 0.22/0.38    inference(rectify,[],[f2])).
% 0.22/0.38  thf(f2,negated_conjecture,(
% 0.22/0.38    ~? [X0 : ($i > $o) > $o] : ! [X1 : $i > $o] : (! [X2] : (X1 @ X2) <=> (X0 @ X1))),
% 0.22/0.38    inference(negated_conjecture,[],[f1])).
% 0.22/0.38  thf(f1,conjecture,(
% 0.22/0.38    ? [X0 : ($i > $o) > $o] : ! [X1 : $i > $o] : (! [X2] : (X1 @ X2) <=> (X0 @ X1))),
% 0.22/0.38    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj)).
% 0.22/0.38  % SZS output end Proof for theBenchmark
% 0.22/0.38  % (22182)------------------------------
% 0.22/0.38  % (22182)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38  % (22182)Termination reason: Refutation
% 0.22/0.38  
% 0.22/0.38  % (22182)Memory used [KB]: 5500
% 0.22/0.38  % (22182)Time elapsed: 0.004 s
% 0.22/0.38  % (22182)Instructions burned: 1 (million)
% 0.22/0.38  % (22182)------------------------------
% 0.22/0.38  % (22182)------------------------------
% 0.22/0.38  % (22174)Success in time 0.002 s
% 0.22/0.38  % Vampire---4.8 exiting
%------------------------------------------------------------------------------