TSTP Solution File: SYO057^2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO057^2 : 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 : n009.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 09:02:34 EDT 2024

% Result   : Theorem 0.13s 0.39s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SYO057^2 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.13  % 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
% 0.13/0.34  % Computer : n009.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon May 20 10:51:52 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.34  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/sandbox/benchmark/theBenchmark.p
% 0.13/0.37  % (2764)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)
% 0.13/0.37  % (2765)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)
% 0.13/0.37  % (2763)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.37  % (2762)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)
% 0.13/0.37  % (2766)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.13/0.37  % (2760)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.13/0.37  % (2763)Instruction limit reached!
% 0.13/0.37  % (2763)------------------------------
% 0.13/0.37  % (2763)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (2763)Termination reason: Unknown
% 0.13/0.37  % (2764)Instruction limit reached!
% 0.13/0.37  % (2764)------------------------------
% 0.13/0.37  % (2764)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (2763)Termination phase: shuffling
% 0.13/0.37  
% 0.13/0.37  % (2763)Memory used [KB]: 1023
% 0.13/0.37  % (2763)Time elapsed: 0.003 s
% 0.13/0.37  % (2763)Instructions burned: 2 (million)
% 0.13/0.37  % (2763)------------------------------
% 0.13/0.37  % (2763)------------------------------
% 0.13/0.37  % (2764)Termination reason: Unknown
% 0.13/0.37  % (2764)Termination phase: shuffling
% 0.13/0.37  
% 0.13/0.37  % (2764)Memory used [KB]: 1023
% 0.13/0.37  % (2764)Time elapsed: 0.003 s
% 0.13/0.37  % (2764)Instructions burned: 2 (million)
% 0.13/0.37  % (2764)------------------------------
% 0.13/0.37  % (2764)------------------------------
% 0.13/0.37  % (2767)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)
% 0.13/0.37  % (2767)Instruction limit reached!
% 0.13/0.37  % (2767)------------------------------
% 0.13/0.37  % (2767)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (2767)Termination reason: Unknown
% 0.13/0.37  % (2767)Termination phase: Property scanning
% 0.13/0.37  
% 0.13/0.37  % (2767)Memory used [KB]: 1023
% 0.13/0.37  % (2767)Time elapsed: 0.004 s
% 0.13/0.37  % (2767)Instructions burned: 4 (million)
% 0.13/0.37  % (2767)------------------------------
% 0.13/0.37  % (2767)------------------------------
% 0.13/0.38  % (2766)Instruction limit reached!
% 0.13/0.38  % (2766)------------------------------
% 0.13/0.38  % (2766)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38  % (2766)Termination reason: Unknown
% 0.13/0.38  % (2766)Termination phase: Saturation
% 0.13/0.38  
% 0.13/0.38  % (2766)Memory used [KB]: 5628
% 0.13/0.38  % (2766)Time elapsed: 0.013 s
% 0.13/0.38  % (2766)Instructions burned: 19 (million)
% 0.13/0.38  % (2766)------------------------------
% 0.13/0.38  % (2766)------------------------------
% 0.13/0.38  % (2761)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)
% 0.13/0.38  % (2761)Instruction limit reached!
% 0.13/0.38  % (2761)------------------------------
% 0.13/0.38  % (2761)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38  % (2761)Termination reason: Unknown
% 0.13/0.38  % (2761)Termination phase: Property scanning
% 0.13/0.38  
% 0.13/0.38  % (2761)Memory used [KB]: 1023
% 0.13/0.38  % (2761)Time elapsed: 0.004 s
% 0.13/0.38  % (2761)Instructions burned: 4 (million)
% 0.13/0.38  % (2761)------------------------------
% 0.13/0.38  % (2761)------------------------------
% 0.13/0.38  % (2768)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.13/0.38  % (2765)First to succeed.
% 0.13/0.38  % (2769)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.13/0.38  % (2762)Instruction limit reached!
% 0.13/0.38  % (2762)------------------------------
% 0.13/0.38  % (2762)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38  % (2762)Termination reason: Unknown
% 0.13/0.38  % (2762)Termination phase: Saturation
% 0.13/0.38  
% 0.13/0.38  % (2762)Memory used [KB]: 5756
% 0.13/0.38  % (2762)Time elapsed: 0.019 s
% 0.13/0.38  % (2762)Instructions burned: 28 (million)
% 0.13/0.38  % (2762)------------------------------
% 0.13/0.38  % (2762)------------------------------
% 0.13/0.39  % (2765)Refutation found. Thanks to Tanya!
% 0.13/0.39  % SZS status Theorem for theBenchmark
% 0.13/0.39  % SZS output start Proof for theBenchmark
% 0.13/0.39  thf(type_def_5, type, mu: $tType).
% 0.13/0.39  thf(func_def_0, type, mu: $tType).
% 0.13/0.39  thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
% 0.13/0.39  thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 0.13/0.39  thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 0.13/0.39  thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.13/0.39  thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.13/0.39  thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.13/0.39  thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 0.13/0.39  thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 0.13/0.39  thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 0.13/0.39  thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 0.13/0.39  thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.13/0.39  thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 0.13/0.39  thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.13/0.39  thf(func_def_15, type, mtrue: $i > $o).
% 0.13/0.39  thf(func_def_16, type, mfalse: $i > $o).
% 0.13/0.39  thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.13/0.39  thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.13/0.39  thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o).
% 0.13/0.39  thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o).
% 0.13/0.39  thf(func_def_21, type, mserial: ($i > $i > $o) > $o).
% 0.13/0.39  thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o).
% 0.13/0.39  thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o).
% 0.13/0.39  thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o).
% 0.13/0.39  thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o).
% 0.13/0.39  thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o).
% 0.13/0.39  thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o).
% 0.13/0.39  thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o).
% 0.13/0.39  thf(func_def_29, type, mvalid: ($i > $o) > $o).
% 0.13/0.39  thf(func_def_30, type, minvalid: ($i > $o) > $o).
% 0.13/0.39  thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 0.13/0.39  thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 0.13/0.39  thf(func_def_49, type, sK1: $i > ($i > $i > $o) > ($i > $o) > $i).
% 0.13/0.39  thf(func_def_50, type, ph2: !>[X0: $tType]:(X0)).
% 0.13/0.39  thf(f279,plain,(
% 0.13/0.39    $false),
% 0.13/0.39    inference(trivial_inequality_removal,[],[f278])).
% 0.13/0.39  thf(f278,plain,(
% 0.13/0.39    ($false = $true)),
% 0.13/0.39    inference(duplicate_literal_removal,[],[f277])).
% 0.13/0.39  thf(f277,plain,(
% 0.13/0.39    ($false = $true) | ($false = $true)),
% 0.13/0.39    inference(beta_eta_normalization,[],[f256])).
% 0.13/0.39  thf(f256,plain,(
% 0.13/0.39    ( ! [X3 : $i,X4 : $i] : ((((^[Y0 : $i]: ($false)) @ X3) = $true) | (((^[Y0 : $i]: ($false)) @ X4) = $true)) )),
% 0.13/0.39    inference(primitive_instantiation,[],[f254])).
% 0.13/0.39  thf(f254,plain,(
% 0.13/0.39    ( ! [X2 : $i > $o,X3 : $i,X4 : $i] : (((X2 @ X4) = $true) | ((X2 @ X3) = $true)) )),
% 0.13/0.39    inference(subsumption_resolution,[],[f253,f245])).
% 0.13/0.39  thf(f245,plain,(
% 0.13/0.39    ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i > $o,X4 : $i] : (((X1 @ X2) = $true) | (X0 != X2) | ((X1 @ X4) = $true) | (X0 != X4) | ((X1 @ X3) = $true) | (X0 != X3)) )),
% 0.13/0.39    inference(equality_proxy_clausification,[],[f244])).
% 0.13/0.39  thf(f244,plain,(
% 0.13/0.39    ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i > $o,X4 : $i] : ((X0 != X4) | ($false = (X3 = X0)) | ((X1 @ X4) = $true) | (X0 != X2) | ((X1 @ X3) = $true) | ((X1 @ X2) = $true)) )),
% 0.13/0.39    inference(equality_proxy_clausification,[],[f243])).
% 0.13/0.39  thf(f243,plain,(
% 0.13/0.39    ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i > $o,X4 : $i] : ((X0 != X4) | ((X1 @ X4) = $true) | ((X1 @ X3) = $true) | ((X1 @ X2) = $true) | ($false = (X2 = X0)) | ($false = (X3 = X0))) )),
% 0.13/0.39    inference(beta_eta_normalization,[],[f229])).
% 0.13/0.39  thf(f229,plain,(
% 0.13/0.39    ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i > $o,X4 : $i] : ((X0 != X4) | ($false = ((^[Y0 : $i]: ((^[Y1 : $i]: (Y1 = Y0)))) @ X0 @ X2)) | ((X1 @ X4) = $true) | ((X1 @ X3) = $true) | ($false = ((^[Y0 : $i]: ((^[Y1 : $i]: (Y1 = Y0)))) @ X0 @ X3)) | ((X1 @ X2) = $true)) )),
% 0.13/0.39    inference(superposition,[],[f129,f173])).
% 0.13/0.39  thf(f173,plain,(
% 0.13/0.39    ( ! [X2 : $i > $o,X3 : $i,X1 : $i] : (((sK1 @ X1 @ (^[Y0 : $i]: ((^[Y1 : $i]: (Y1 = Y0)))) @ X2) = X1) | ((X2 @ X3) = $true) | (X1 != X3)) )),
% 0.13/0.39    inference(equality_proxy_clausification,[],[f172])).
% 0.13/0.39  thf(f172,plain,(
% 0.13/0.39    ( ! [X2 : $i > $o,X3 : $i,X1 : $i] : (($false = (X3 = X1)) | ((sK1 @ X1 @ (^[Y0 : $i]: ((^[Y1 : $i]: (Y1 = Y0)))) @ X2) = X1) | ((X2 @ X3) = $true)) )),
% 0.13/0.39    inference(equality_proxy_clausification,[],[f171])).
% 0.13/0.39  thf(f171,plain,(
% 0.13/0.39    ( ! [X2 : $i > $o,X3 : $i,X1 : $i] : ((((sK1 @ X1 @ (^[Y0 : $i]: ((^[Y1 : $i]: (Y1 = Y0)))) @ X2) = X1) = $true) | ((X2 @ X3) = $true) | ($false = (X3 = X1))) )),
% 0.13/0.39    inference(beta_eta_normalization,[],[f150])).
% 0.13/0.39  thf(f150,plain,(
% 0.13/0.39    ( ! [X2 : $i > $o,X3 : $i,X1 : $i] : (($false = ((^[Y0 : $i]: ((^[Y1 : $i]: (Y1 = Y0)))) @ X1 @ X3)) | (((^[Y0 : $i]: ((^[Y1 : $i]: (Y1 = Y0)))) @ X1 @ (sK1 @ X1 @ (^[Y0 : $i]: ((^[Y1 : $i]: (Y1 = Y0)))) @ X2)) = $true) | ((X2 @ X3) = $true)) )),
% 0.13/0.39    inference(primitive_instantiation,[],[f121])).
% 0.13/0.39  thf(f121,plain,(
% 0.13/0.39    ( ! [X2 : $i > $o,X3 : $i,X0 : $i > $i > $o,X1 : $i] : (((X0 @ X1 @ (sK1 @ X1 @ X0 @ X2)) = $true) | ((X2 @ X3) = $true) | ($false = (X0 @ X1 @ X3))) )),
% 0.13/0.39    inference(not_proxy_clausification,[],[f120])).
% 0.13/0.39  thf(f120,plain,(
% 0.13/0.39    ( ! [X2 : $i > $o,X3 : $i,X0 : $i > $i > $o,X1 : $i] : (($false = (~ (X0 @ X1 @ (sK1 @ X1 @ X0 @ X2)))) | ($false = (X0 @ X1 @ X3)) | ((X2 @ X3) = $true)) )),
% 0.13/0.39    inference(not_proxy_clausification,[],[f119])).
% 0.13/0.39  thf(f119,plain,(
% 0.13/0.39    ( ! [X2 : $i > $o,X3 : $i,X0 : $i > $i > $o,X1 : $i] : (((~ (X0 @ X1 @ X3)) = $true) | ((X2 @ X3) = $true) | ($false = (~ (X0 @ X1 @ (sK1 @ X1 @ X0 @ X2))))) )),
% 0.13/0.39    inference(binary_proxy_clausification,[],[f117])).
% 0.13/0.39  thf(f117,plain,(
% 0.13/0.39    ( ! [X2 : $i > $o,X3 : $i,X0 : $i > $i > $o,X1 : $i] : (($false = ((~ (X0 @ X1 @ (sK1 @ X1 @ X0 @ X2))) | ((X2 @ (sK1 @ X1 @ X0 @ X2)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (X0 @ (sK1 @ X1 @ X0 @ X2) @ Y0)) | (X2 @ Y0)))))))) | ((~ (X0 @ X1 @ X3)) = $true) | ((X2 @ X3) = $true)) )),
% 0.13/0.39    inference(beta_eta_normalization,[],[f116])).
% 0.13/0.39  thf(f116,plain,(
% 0.13/0.39    ( ! [X2 : $i > $o,X3 : $i,X0 : $i > $i > $o,X1 : $i] : (((X2 @ X3) = $true) | ((~ (X0 @ X1 @ X3)) = $true) | ($false = ((^[Y0 : $i]: ((~ (X0 @ X1 @ Y0)) | ((X2 @ Y0) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (X0 @ Y0 @ Y1)) | (X2 @ Y1)))))))) @ (sK1 @ X1 @ X0 @ X2)))) )),
% 0.13/0.39    inference(sigma_clausification,[],[f115])).
% 0.13/0.39  thf(f115,plain,(
% 0.13/0.39    ( ! [X2 : $i > $o,X3 : $i,X0 : $i > $i > $o,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (X0 @ X1 @ Y0)) | ((X2 @ Y0) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (X0 @ Y0 @ Y1)) | (X2 @ Y1))))))))) = $false) | ((X2 @ X3) = $true) | ((~ (X0 @ X1 @ X3)) = $true)) )),
% 0.13/0.39    inference(binary_proxy_clausification,[],[f114])).
% 0.13/0.39  thf(f114,plain,(
% 0.13/0.39    ( ! [X2 : $i > $o,X3 : $i,X0 : $i > $i > $o,X1 : $i] : ((((~ (X0 @ X1 @ X3)) | (X2 @ X3)) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((~ (X0 @ X1 @ Y0)) | ((X2 @ Y0) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (X0 @ Y0 @ Y1)) | (X2 @ Y1))))))))) = $false)) )),
% 0.13/0.39    inference(beta_eta_normalization,[],[f113])).
% 0.13/0.39  thf(f113,plain,(
% 0.13/0.39    ( ! [X2 : $i > $o,X3 : $i,X0 : $i > $i > $o,X1 : $i] : ((((^[Y0 : $i]: ((~ (X0 @ X1 @ Y0)) | (X2 @ Y0))) @ X3) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((~ (X0 @ X1 @ Y0)) | ((X2 @ Y0) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (X0 @ Y0 @ Y1)) | (X2 @ Y1))))))))) = $false)) )),
% 0.13/0.39    inference(pi_clausification,[],[f112])).
% 0.13/0.39  thf(f112,plain,(
% 0.13/0.39    ( ! [X2 : $i > $o,X0 : $i > $i > $o,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (X0 @ X1 @ Y0)) | (X2 @ Y0)))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((~ (X0 @ X1 @ Y0)) | ((X2 @ Y0) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (X0 @ Y0 @ Y1)) | (X2 @ Y1))))))))) = $false)) )),
% 0.13/0.39    inference(not_proxy_clausification,[],[f111])).
% 0.13/0.39  thf(f111,plain,(
% 0.13/0.39    ( ! [X2 : $i > $o,X0 : $i > $i > $o,X1 : $i] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (X0 @ X1 @ Y0)) | ((X2 @ Y0) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (X0 @ Y0 @ Y1)) | (X2 @ Y1)))))))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((~ (X0 @ X1 @ Y0)) | (X2 @ Y0)))) = $true)) )),
% 0.13/0.39    inference(binary_proxy_clausification,[],[f110])).
% 0.13/0.39  thf(f110,plain,(
% 0.13/0.39    ( ! [X2 : $i > $o,X0 : $i > $i > $o,X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((~ (X0 @ X1 @ Y0)) | (X2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (X0 @ X1 @ Y0)) | ((X2 @ Y0) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (X0 @ Y0 @ Y1)) | (X2 @ Y1))))))))))) = $true)) )),
% 0.13/0.39    inference(beta_eta_normalization,[],[f109])).
% 0.13/0.39  thf(f109,plain,(
% 0.13/0.39    ( ! [X2 : $i > $o,X0 : $i > $i > $o,X1 : $i] : ((((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (X0 @ X1 @ Y1)) | (Y0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (X0 @ X1 @ Y1)) | ((Y0 @ Y1) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (X0 @ Y1 @ Y2)) | (Y0 @ Y2)))))))))))) @ X2) = $true)) )),
% 0.13/0.39    inference(pi_clausification,[],[f108])).
% 0.13/0.39  thf(f108,plain,(
% 0.13/0.39    ( ! [X0 : $i > $i > $o,X1 : $i] : (((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (X0 @ X1 @ Y1)) | (Y0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (X0 @ X1 @ Y1)) | ((Y0 @ Y1) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (X0 @ Y1 @ Y2)) | (Y0 @ Y2))))))))))))) = $true)) )),
% 0.13/0.39    inference(beta_eta_normalization,[],[f107])).
% 0.13/0.39  thf(f107,plain,(
% 0.13/0.39    ( ! [X0 : $i > $i > $o,X1 : $i] : ((((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (X0 @ Y0 @ Y2)) | (Y1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (X0 @ Y0 @ Y2)) | ((Y1 @ Y2) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (X0 @ Y2 @ Y3)) | (Y1 @ Y3)))))))))))))) @ X1) = $true)) )),
% 0.13/0.39    inference(pi_clausification,[],[f106])).
% 0.13/0.39  thf(f106,plain,(
% 0.13/0.39    ( ! [X0 : $i > $i > $o] : (((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (X0 @ Y0 @ Y2)) | (Y1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (X0 @ Y0 @ Y2)) | ((Y1 @ Y2) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (X0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))))))) = $true)) )),
% 0.13/0.39    inference(beta_eta_normalization,[],[f105])).
% 0.13/0.39  thf(f105,plain,(
% 0.13/0.39    ( ! [X0 : $i > $i > $o] : ((((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: ((Y4 @ Y5) | (Y3 @ Y5))))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y1) @ Y2)))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ X0 @ ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: ((Y4 @ Y5) | (Y3 @ Y5))))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y1) @ Y2)))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ X0 @ Y0) @ Y0)) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ X0 @ Y0))))) = $true)) )),
% 0.13/0.39    inference(definition_unfolding,[],[f103,f101,f102,f104,f98,f104,f98,f98])).
% 0.13/0.39  thf(f98,plain,(
% 0.13/0.39    (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))),
% 0.13/0.39    inference(cnf_transformation,[],[f85])).
% 0.13/0.39  thf(f85,plain,(
% 0.13/0.39    (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))),
% 0.13/0.39    inference(fool_elimination,[],[f84])).
% 0.13/0.39  thf(f84,plain,(
% 0.13/0.39    (mbox = (^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : ((X1 @ X3) | ~(X0 @ X2 @ X3)))))),
% 0.13/0.39    inference(rectify,[],[f16])).
% 0.13/0.39  thf(f16,axiom,(
% 0.13/0.39    (mbox = (^[X6 : $i > $i > $o, X3 : $i > $o, X2 : $i] : (! [X7] : ((X3 @ X7) | ~(X6 @ X2 @ X7)))))),
% 0.13/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox)).
% 0.13/0.39  thf(f104,plain,(
% 0.13/0.39    (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
% 0.13/0.39    inference(definition_unfolding,[],[f99,f97,f100])).
% 0.13/0.39  thf(f100,plain,(
% 0.13/0.39    (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.13/0.39    inference(cnf_transformation,[],[f82])).
% 0.13/0.39  thf(f82,plain,(
% 0.13/0.39    (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.13/0.39    inference(fool_elimination,[],[f81])).
% 0.13/0.39  thf(f81,plain,(
% 0.13/0.39    (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))),
% 0.13/0.39    inference(rectify,[],[f3])).
% 0.13/0.39  thf(f3,axiom,(
% 0.13/0.39    (mnot = (^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))))),
% 0.13/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot)).
% 0.13/0.39  thf(f97,plain,(
% 0.13/0.39    (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 0.13/0.39    inference(cnf_transformation,[],[f90])).
% 0.13/0.39  thf(f90,plain,(
% 0.13/0.39    (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 0.13/0.39    inference(fool_elimination,[],[f89])).
% 0.13/0.39  thf(f89,plain,(
% 0.13/0.39    ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X0 @ X2) | (X1 @ X2))) = mor)),
% 0.13/0.39    inference(rectify,[],[f4])).
% 0.13/0.39  thf(f4,axiom,(
% 0.13/0.39    ((^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X3 @ X2) | (X4 @ X2))) = mor)),
% 0.13/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor)).
% 0.13/0.39  thf(f99,plain,(
% 0.13/0.39    (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.13/0.39    inference(cnf_transformation,[],[f46])).
% 0.13/0.39  thf(f46,plain,(
% 0.13/0.39    (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.13/0.39    inference(fool_elimination,[],[f45])).
% 0.13/0.39  thf(f45,plain,(
% 0.13/0.39    ((^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)) = mimplies)),
% 0.13/0.39    inference(rectify,[],[f6])).
% 0.13/0.39  thf(f6,axiom,(
% 0.13/0.39    ((^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)) = mimplies)),
% 0.13/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies)).
% 0.13/0.39  thf(f102,plain,(
% 0.13/0.39    (mforall_prop = (^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))))),
% 0.13/0.39    inference(cnf_transformation,[],[f54])).
% 0.13/0.39  thf(f54,plain,(
% 0.13/0.39    (mforall_prop = (^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))))),
% 0.13/0.39    inference(fool_elimination,[],[f53])).
% 0.13/0.39  thf(f53,plain,(
% 0.13/0.39    ((^[X0 : ($i > $o) > $i > $o, X1 : $i] : (! [X2 : $i > $o] : (X0 @ X2 @ X1))) = mforall_prop)),
% 0.13/0.39    inference(rectify,[],[f11])).
% 0.13/0.39  thf(f11,axiom,(
% 0.13/0.39    ((^[X3 : ($i > $o) > $i > $o, X2 : $i] : (! [X5 : $i > $o] : (X3 @ X5 @ X2))) = mforall_prop)),
% 0.13/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_prop)).
% 0.13/0.39  thf(f101,plain,(
% 0.13/0.39    (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.13/0.39    inference(cnf_transformation,[],[f66])).
% 0.13/0.39  thf(f66,plain,(
% 0.13/0.39    (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.13/0.39    inference(fool_elimination,[],[f65])).
% 0.13/0.39  thf(f65,plain,(
% 0.13/0.39    ((^[X0 : $i > $o] : (! [X1] : (X0 @ X1))) = mvalid)),
% 0.13/0.39    inference(rectify,[],[f28])).
% 0.13/0.39  thf(f28,axiom,(
% 0.13/0.39    ((^[X3 : $i > $o] : (! [X2] : (X3 @ X2))) = mvalid)),
% 0.13/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mvalid)).
% 0.13/0.39  thf(f103,plain,(
% 0.13/0.39    ( ! [X0 : $i > $i > $o] : (((mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ X0 @ (mimplies @ (mbox @ X0 @ Y0) @ Y0)) @ (mbox @ X0 @ Y0))))) = $true)) )),
% 0.13/0.39    inference(cnf_transformation,[],[f96])).
% 0.13/0.39  thf(f96,plain,(
% 0.13/0.39    ! [X0 : $i > $i > $o] : ((mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ X0 @ (mimplies @ (mbox @ X0 @ Y0) @ Y0)) @ (mbox @ X0 @ Y0))))) = $true)),
% 0.13/0.39    inference(ennf_transformation,[],[f95])).
% 0.13/0.39  thf(f95,plain,(
% 0.13/0.39    ~? [X0 : $i > $i > $o] : ((mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ X0 @ (mimplies @ (mbox @ X0 @ Y0) @ Y0)) @ (mbox @ X0 @ Y0))))) != $true)),
% 0.13/0.39    inference(flattening,[],[f56])).
% 0.13/0.39  thf(f56,plain,(
% 0.13/0.39    ~? [X0 : $i > $i > $o] : ~((mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ X0 @ (mimplies @ (mbox @ X0 @ Y0) @ Y0)) @ (mbox @ X0 @ Y0))))) = $true)),
% 0.13/0.39    inference(fool_elimination,[],[f55])).
% 0.13/0.39  thf(f55,plain,(
% 0.13/0.39    ~? [X0 : $i > $i > $o] : ~(mvalid @ (mforall_prop @ (^[X1 : $i > $o] : (mimplies @ (mbox @ X0 @ (mimplies @ (mbox @ X0 @ X1) @ X1)) @ (mbox @ X0 @ X1)))))),
% 0.13/0.39    inference(rectify,[],[f33])).
% 0.13/0.39  thf(f33,negated_conjecture,(
% 0.13/0.39    ~? [X6 : $i > $i > $o] : ~(mvalid @ (mforall_prop @ (^[X11 : $i > $o] : (mimplies @ (mbox @ X6 @ (mimplies @ (mbox @ X6 @ X11) @ X11)) @ (mbox @ X6 @ X11)))))),
% 0.13/0.39    inference(negated_conjecture,[],[f32])).
% 0.13/0.39  thf(f32,conjecture,(
% 0.13/0.39    ? [X6 : $i > $i > $o] : ~(mvalid @ (mforall_prop @ (^[X11 : $i > $o] : (mimplies @ (mbox @ X6 @ (mimplies @ (mbox @ X6 @ X11) @ X11)) @ (mbox @ X6 @ X11)))))),
% 0.13/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj)).
% 0.13/0.39  thf(f129,plain,(
% 0.13/0.39    ( ! [X2 : $i > $o,X3 : $i,X0 : $i > $i > $o,X1 : $i,X4 : $i] : (($false = (X0 @ (sK1 @ X1 @ X0 @ X2) @ X4)) | ($false = (X0 @ X1 @ X3)) | ((X2 @ X4) = $true) | ((X2 @ X3) = $true)) )),
% 0.13/0.39    inference(not_proxy_clausification,[],[f128])).
% 0.13/0.39  thf(f128,plain,(
% 0.13/0.39    ( ! [X2 : $i > $o,X3 : $i,X0 : $i > $i > $o,X1 : $i,X4 : $i] : (($false = (X0 @ X1 @ X3)) | ((~ (X0 @ (sK1 @ X1 @ X0 @ X2) @ X4)) = $true) | ((X2 @ X4) = $true) | ((X2 @ X3) = $true)) )),
% 0.13/0.39    inference(binary_proxy_clausification,[],[f127])).
% 0.13/0.39  thf(f127,plain,(
% 0.13/0.39    ( ! [X2 : $i > $o,X3 : $i,X0 : $i > $i > $o,X1 : $i,X4 : $i] : (((X2 @ X3) = $true) | ($false = (X0 @ X1 @ X3)) | (((~ (X0 @ (sK1 @ X1 @ X0 @ X2) @ X4)) | (X2 @ X4)) = $true)) )),
% 0.13/0.39    inference(beta_eta_normalization,[],[f126])).
% 0.13/0.39  thf(f126,plain,(
% 0.13/0.39    ( ! [X2 : $i > $o,X3 : $i,X0 : $i > $i > $o,X1 : $i,X4 : $i] : (($false = (X0 @ X1 @ X3)) | ((X2 @ X3) = $true) | (((^[Y0 : $i]: ((~ (X0 @ (sK1 @ X1 @ X0 @ X2) @ Y0)) | (X2 @ Y0))) @ X4) = $true)) )),
% 0.13/0.39    inference(pi_clausification,[],[f125])).
% 0.13/0.39  thf(f125,plain,(
% 0.13/0.39    ( ! [X2 : $i > $o,X3 : $i,X0 : $i > $i > $o,X1 : $i] : (($false = (X0 @ X1 @ X3)) | ((X2 @ X3) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((~ (X0 @ (sK1 @ X1 @ X0 @ X2) @ Y0)) | (X2 @ Y0)))) = $true)) )),
% 0.13/0.39    inference(not_proxy_clausification,[],[f123])).
% 0.13/0.39  thf(f123,plain,(
% 0.13/0.39    ( ! [X2 : $i > $o,X3 : $i,X0 : $i > $i > $o,X1 : $i] : (($false = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (X0 @ (sK1 @ X1 @ X0 @ X2) @ Y0)) | (X2 @ Y0)))))) | ($false = (X0 @ X1 @ X3)) | ((X2 @ X3) = $true)) )),
% 0.13/0.39    inference(binary_proxy_clausification,[],[f122])).
% 0.13/0.39  thf(f122,plain,(
% 0.13/0.39    ( ! [X2 : $i > $o,X3 : $i,X0 : $i > $i > $o,X1 : $i] : (((X2 @ X3) = $true) | ($false = ((X2 @ (sK1 @ X1 @ X0 @ X2)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (X0 @ (sK1 @ X1 @ X0 @ X2) @ Y0)) | (X2 @ Y0))))))) | ($false = (X0 @ X1 @ X3))) )),
% 0.13/0.39    inference(not_proxy_clausification,[],[f118])).
% 0.13/0.39  thf(f118,plain,(
% 0.13/0.39    ( ! [X2 : $i > $o,X3 : $i,X0 : $i > $i > $o,X1 : $i] : (((X2 @ X3) = $true) | ((~ (X0 @ X1 @ X3)) = $true) | ($false = ((X2 @ (sK1 @ X1 @ X0 @ X2)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (X0 @ (sK1 @ X1 @ X0 @ X2) @ Y0)) | (X2 @ Y0)))))))) )),
% 0.13/0.39    inference(binary_proxy_clausification,[],[f117])).
% 0.13/0.39  thf(f253,plain,(
% 0.13/0.39    ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X4 : $i] : (((X2 @ X3) = $true) | ((X2 @ X4) = $true) | (X1 = X3)) )),
% 0.13/0.39    inference(subsumption_resolution,[],[f240,f245])).
% 0.13/0.39  thf(f240,plain,(
% 0.13/0.39    ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X4 : $i] : (((sK1 @ X1 @ (^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y1 = Y0))))) @ X2) = X4) | ((X2 @ X4) = $true) | (X1 = X3) | ((X2 @ X3) = $true)) )),
% 0.13/0.39    inference(equality_proxy_clausification,[],[f239])).
% 0.13/0.39  thf(f239,plain,(
% 0.13/0.39    ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X4 : $i] : (((X2 @ X3) = $true) | ((X4 = (sK1 @ X1 @ (^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y1 = Y0))))) @ X2)) = $true) | ((X2 @ X4) = $true) | (X1 = X3)) )),
% 0.13/0.39    inference(not_proxy_clausification,[],[f238])).
% 0.13/0.39  thf(f238,plain,(
% 0.13/0.39    ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X4 : $i] : ((X1 = X3) | ($false = (~ (X4 = (sK1 @ X1 @ (^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y1 = Y0))))) @ X2)))) | ((X2 @ X4) = $true) | ((X2 @ X3) = $true)) )),
% 0.13/0.39    inference(equality_proxy_clausification,[],[f237])).
% 0.13/0.39  thf(f237,plain,(
% 0.13/0.39    ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X4 : $i] : (((X3 = X1) = $true) | ((X2 @ X4) = $true) | ((X2 @ X3) = $true) | ($false = (~ (X4 = (sK1 @ X1 @ (^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y1 = Y0))))) @ X2))))) )),
% 0.13/0.39    inference(not_proxy_clausification,[],[f236])).
% 0.13/0.39  thf(f236,plain,(
% 0.13/0.39    ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X4 : $i] : (($false = (~ (X3 = X1))) | ($false = (~ (X4 = (sK1 @ X1 @ (^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y1 = Y0))))) @ X2)))) | ((X2 @ X4) = $true) | ((X2 @ X3) = $true)) )),
% 0.13/0.39    inference(beta_eta_normalization,[],[f225])).
% 0.13/0.39  thf(f225,plain,(
% 0.13/0.39    ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X4 : $i] : (((X2 @ X3) = $true) | ($false = ((^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y1 = Y0))))) @ X1 @ X3)) | ((X2 @ X4) = $true) | ($false = ((^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y1 = Y0))))) @ (sK1 @ X1 @ (^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y1 = Y0))))) @ X2) @ X4))) )),
% 0.13/0.39    inference(primitive_instantiation,[],[f129])).
% 0.13/0.39  % SZS output end Proof for theBenchmark
% 0.13/0.39  % (2765)------------------------------
% 0.13/0.39  % (2765)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39  % (2765)Termination reason: Refutation
% 0.13/0.39  
% 0.13/0.39  % (2765)Memory used [KB]: 5756
% 0.13/0.39  % (2765)Time elapsed: 0.020 s
% 0.13/0.39  % (2765)Instructions burned: 21 (million)
% 0.13/0.39  % (2765)------------------------------
% 0.13/0.39  % (2765)------------------------------
% 0.13/0.39  % (2759)Success in time 0.023 s
% 0.13/0.39  % Vampire---4.8 exiting
%------------------------------------------------------------------------------