TSTP Solution File: SET086^1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET086^1 : TPTP v8.2.0. Released v3.6.0.
% 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 : n019.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 03:08:39 EDT 2024

% Result   : Theorem 0.11s 0.35s
% Output   : Refutation 0.11s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : SET086^1 : TPTP v8.2.0. Released v3.6.0.
% 0.10/0.12  % 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
% 0.11/0.33  % Computer : n019.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Mon May 20 11:07:08 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.11/0.33  This is a TH0_THM_EQU_NAR problem
% 0.11/0.33  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
% 0.11/0.35  % (17276)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.11/0.35  % (17273)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.11/0.35  % (17280)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.11/0.35  % (17278)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 (2999ds/275Mi)
% 0.11/0.35  % (17277)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 (2999ds/2Mi)
% 0.11/0.35  % (17274)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 (2999ds/4Mi)
% 0.11/0.35  % (17279)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.11/0.35  % (17276)Instruction limit reached!
% 0.11/0.35  % (17276)------------------------------
% 0.11/0.35  % (17276)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.35  % (17276)Termination reason: Unknown
% 0.11/0.35  % (17276)Termination phase: Property scanning
% 0.11/0.35  % (17275)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 (2999ds/27Mi)
% 0.11/0.35  % (17277)Instruction limit reached!
% 0.11/0.35  % (17277)------------------------------
% 0.11/0.35  % (17277)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.35  % (17277)Termination reason: Unknown
% 0.11/0.35  % (17277)Termination phase: Property scanning
% 0.11/0.35  
% 0.11/0.35  % (17277)Memory used [KB]: 1023
% 0.11/0.35  % (17277)Time elapsed: 0.003 s
% 0.11/0.35  % (17277)Instructions burned: 2 (million)
% 0.11/0.35  % (17277)------------------------------
% 0.11/0.35  % (17277)------------------------------
% 0.11/0.35  
% 0.11/0.35  % (17276)Memory used [KB]: 1023
% 0.11/0.35  % (17276)Time elapsed: 0.003 s
% 0.11/0.35  % (17276)Instructions burned: 2 (million)
% 0.11/0.35  % (17276)------------------------------
% 0.11/0.35  % (17276)------------------------------
% 0.11/0.35  % (17280)Instruction limit reached!
% 0.11/0.35  % (17280)------------------------------
% 0.11/0.35  % (17280)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.35  % (17280)Termination reason: Unknown
% 0.11/0.35  % (17280)Termination phase: Property scanning
% 0.11/0.35  
% 0.11/0.35  % (17280)Memory used [KB]: 1023
% 0.11/0.35  % (17280)Time elapsed: 0.003 s
% 0.11/0.35  % (17280)Instructions burned: 3 (million)
% 0.11/0.35  % (17280)------------------------------
% 0.11/0.35  % (17280)------------------------------
% 0.11/0.35  % (17278)First to succeed.
% 0.11/0.35  % (17273)Also succeeded, but the first one will report.
% 0.11/0.35  % (17274)Also succeeded, but the first one will report.
% 0.11/0.35  % (17278)Refutation found. Thanks to Tanya!
% 0.11/0.35  % SZS status Theorem for theBenchmark
% 0.11/0.35  % SZS output start Proof for theBenchmark
% 0.11/0.35  thf(func_def_0, type, in: $i > ($i > $o) > $o).
% 0.11/0.35  thf(func_def_2, type, is_a: $i > ($i > $o) > $o).
% 0.11/0.35  thf(func_def_3, type, emptyset: $i > $o).
% 0.11/0.35  thf(func_def_4, type, unord_pair: $i > $i > $i > $o).
% 0.11/0.35  thf(func_def_5, type, singleton: $i > $i > $o).
% 0.11/0.35  thf(func_def_6, type, union: ($i > $o) > ($i > $o) > $i > $o).
% 0.11/0.35  thf(func_def_7, type, excl_union: ($i > $o) > ($i > $o) > $i > $o).
% 0.11/0.35  thf(func_def_8, type, intersection: ($i > $o) > ($i > $o) > $i > $o).
% 0.11/0.35  thf(func_def_9, type, setminus: ($i > $o) > ($i > $o) > $i > $o).
% 0.11/0.35  thf(func_def_10, type, complement: ($i > $o) > $i > $o).
% 0.11/0.35  thf(func_def_11, type, disjoint: ($i > $o) > ($i > $o) > $o).
% 0.11/0.35  thf(func_def_12, type, subset: ($i > $o) > ($i > $o) > $o).
% 0.11/0.35  thf(func_def_13, type, meets: ($i > $o) > ($i > $o) > $o).
% 0.11/0.35  thf(func_def_14, type, misses: ($i > $o) > ($i > $o) > $o).
% 0.11/0.35  thf(f54,plain,(
% 0.11/0.35    $false),
% 0.11/0.35    inference(equality_resolution,[],[f53])).
% 0.11/0.35  thf(f53,plain,(
% 0.11/0.35    ( ! [X1 : $i] : ((sK0 != X1)) )),
% 0.11/0.35    inference(equality_proxy_clausification,[],[f52])).
% 0.11/0.35  thf(f52,plain,(
% 0.11/0.35    ( ! [X1 : $i] : (($true != (sK0 = X1))) )),
% 0.11/0.35    inference(beta_eta_normalization,[],[f51])).
% 0.11/0.35  thf(f51,plain,(
% 0.11/0.35    ( ! [X1 : $i] : (($true != ((^[Y0 : $i]: ((^[Y1 : $i]: (Y0 = Y1)))) @ sK0 @ X1))) )),
% 0.11/0.35    inference(definition_unfolding,[],[f48,f49])).
% 0.11/0.35  thf(f49,plain,(
% 0.11/0.35    (singleton = (^[Y0 : $i]: ((^[Y1 : $i]: (Y0 = Y1)))))),
% 0.11/0.35    inference(cnf_transformation,[],[f21])).
% 0.11/0.35  thf(f21,plain,(
% 0.11/0.35    (singleton = (^[Y0 : $i]: ((^[Y1 : $i]: (Y0 = Y1)))))),
% 0.11/0.35    inference(fool_elimination,[],[f20])).
% 0.11/0.35  thf(f20,plain,(
% 0.11/0.35    ((^[X0 : $i, X1 : $i] : ((X0 = X1))) = singleton)),
% 0.11/0.35    inference(rectify,[],[f5])).
% 0.11/0.35  thf(f5,axiom,(
% 0.11/0.35    ((^[X0 : $i, X3 : $i] : ((X0 = X3))) = singleton)),
% 0.11/0.35    file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton)).
% 0.11/0.35  thf(f48,plain,(
% 0.11/0.35    ( ! [X1 : $i] : (($true != (singleton @ sK0 @ X1))) )),
% 0.11/0.35    inference(cnf_transformation,[],[f47])).
% 0.11/0.35  thf(f47,plain,(
% 0.11/0.35    ! [X1] : ($true != (singleton @ sK0 @ X1))),
% 0.11/0.35    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f45,f46])).
% 0.11/0.35  thf(f46,plain,(
% 0.11/0.35    ? [X0] : ! [X1] : ($true != (singleton @ X0 @ X1)) => ! [X1] : ($true != (singleton @ sK0 @ X1))),
% 0.11/0.35    introduced(choice_axiom,[])).
% 0.11/0.35  thf(f45,plain,(
% 0.11/0.35    ? [X0] : ! [X1] : ($true != (singleton @ X0 @ X1))),
% 0.11/0.35    inference(ennf_transformation,[],[f35])).
% 0.11/0.35  thf(f35,plain,(
% 0.11/0.35    ~! [X0] : ? [X1] : ($true = (singleton @ X0 @ X1))),
% 0.11/0.35    inference(fool_elimination,[],[f34])).
% 0.11/0.35  thf(f34,plain,(
% 0.11/0.35    ~! [X0] : ? [X1] : (singleton @ X0 @ X1)),
% 0.11/0.35    inference(rectify,[],[f16])).
% 0.11/0.35  thf(f16,negated_conjecture,(
% 0.11/0.35    ~! [X0] : ? [X2] : (singleton @ X0 @ X2)),
% 0.11/0.35    inference(negated_conjecture,[],[f15])).
% 0.11/0.35  thf(f15,conjecture,(
% 0.11/0.35    ! [X0] : ? [X2] : (singleton @ X0 @ X2)),
% 0.11/0.35    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm)).
% 0.11/0.35  % SZS output end Proof for theBenchmark
% 0.11/0.35  % (17278)------------------------------
% 0.11/0.35  % (17278)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.35  % (17278)Termination reason: Refutation
% 0.11/0.35  
% 0.11/0.35  % (17278)Memory used [KB]: 5500
% 0.11/0.35  % (17278)Time elapsed: 0.004 s
% 0.11/0.35  % (17278)Instructions burned: 2 (million)
% 0.11/0.35  % (17278)------------------------------
% 0.11/0.35  % (17278)------------------------------
% 0.11/0.35  % (17272)Success in time 0.006 s
% 0.11/0.35  % Vampire---4.8 exiting
%------------------------------------------------------------------------------