TSTP Solution File: SEU945^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU945^5 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n017.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 03:52:17 EDT 2024

% Result   : Theorem 0.14s 0.38s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SEU945^5 : TPTP v8.2.0. Released v4.0.0.
% 0.10/0.14  % 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
% 0.14/0.35  % Computer : n017.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 17:22:23 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/sandbox2/benchmark/theBenchmark.p
% 0.14/0.37  % (31999)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.14/0.37  % (32002)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.14/0.37  % (32001)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)
% 0.14/0.37  % (32003)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)
% 0.14/0.37  % (32006)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)
% 0.14/0.37  % (32001)Refutation not found, incomplete strategy
% 0.14/0.37  % (32001)------------------------------
% 0.14/0.37  % (32001)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37  % (32001)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.37  
% 0.14/0.37  % (32002)Instruction limit reached!
% 0.14/0.37  % (32002)------------------------------
% 0.14/0.37  % (32002)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37  % (32002)Termination reason: Unknown
% 0.14/0.37  % (32002)Termination phase: Saturation
% 0.14/0.37  
% 0.14/0.37  % (32002)Memory used [KB]: 5500
% 0.14/0.37  % (32002)Time elapsed: 0.004 s
% 0.14/0.37  % (32002)Instructions burned: 3 (million)
% 0.14/0.37  % (32002)------------------------------
% 0.14/0.37  % (32002)------------------------------
% 0.14/0.37  
% 0.14/0.37  % (32003)Instruction limit reached!
% 0.14/0.37  % (32003)------------------------------
% 0.14/0.37  % (32003)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37  % (32003)Termination reason: Unknown
% 0.14/0.37  % (32003)Termination phase: Saturation
% 0.14/0.37  
% 0.14/0.37  % (32003)Memory used [KB]: 5500
% 0.14/0.37  % (32003)Time elapsed: 0.004 s
% 0.14/0.37  % (32003)Instructions burned: 3 (million)
% 0.14/0.37  % (32003)------------------------------
% 0.14/0.37  % (32003)------------------------------
% 0.14/0.37  % (32001)Memory used [KB]: 5500
% 0.14/0.37  % (32001)Time elapsed: 0.004 s
% 0.14/0.37  % (32001)Instructions burned: 1 (million)
% 0.14/0.37  % (32001)------------------------------
% 0.14/0.37  % (32001)------------------------------
% 0.14/0.37  % (32000)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)
% 0.14/0.37  % (32006)Instruction limit reached!
% 0.14/0.37  % (32006)------------------------------
% 0.14/0.37  % (32006)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37  % (32006)Termination reason: Unknown
% 0.14/0.37  % (32006)Termination phase: Saturation
% 0.14/0.37  
% 0.14/0.37  % (32006)Memory used [KB]: 5500
% 0.14/0.37  % (32006)Time elapsed: 0.005 s
% 0.14/0.37  % (32006)Instructions burned: 4 (million)
% 0.14/0.37  % (32006)------------------------------
% 0.14/0.37  % (32006)------------------------------
% 0.14/0.37  % (32005)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.14/0.38  % (31999)First to succeed.
% 0.14/0.38  % (32000)Instruction limit reached!
% 0.14/0.38  % (32000)------------------------------
% 0.14/0.38  % (32000)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38  % (32000)Termination reason: Unknown
% 0.14/0.38  % (32000)Termination phase: Saturation
% 0.14/0.38  
% 0.14/0.38  % (32000)Memory used [KB]: 5500
% 0.14/0.38  % (32000)Time elapsed: 0.007 s
% 0.14/0.38  % (32000)Instructions burned: 4 (million)
% 0.14/0.38  % (32000)------------------------------
% 0.14/0.38  % (32000)------------------------------
% 0.14/0.38  % (31999)Refutation found. Thanks to Tanya!
% 0.14/0.38  % SZS status Theorem for theBenchmark
% 0.14/0.38  % SZS output start Proof for theBenchmark
% 0.14/0.38  thf(func_def_3, type, sK0: ($i > $i > $o) > $i).
% 0.14/0.38  thf(func_def_4, type, sK1: ($i > $i > $o) > $i).
% 0.14/0.38  thf(func_def_7, type, ph3: !>[X0: $tType]:(X0)).
% 0.14/0.38  thf(f80,plain,(
% 0.14/0.38    $false),
% 0.14/0.38    inference(equality_resolution,[],[f75])).
% 0.14/0.38  thf(f75,plain,(
% 0.14/0.38    ( ! [X0 : $i] : (((sK0 @ (^[Y0 : $i]: ((^[Y1 : $i]: (Y1 = Y0))))) != X0)) )),
% 0.14/0.38    inference(duplicate_literal_removal,[],[f70])).
% 0.14/0.38  thf(f70,plain,(
% 0.14/0.38    ( ! [X0 : $i] : (((sK0 @ (^[Y0 : $i]: ((^[Y1 : $i]: (Y1 = Y0))))) != X0) | ((sK0 @ (^[Y0 : $i]: ((^[Y1 : $i]: (Y1 = Y0))))) != X0)) )),
% 0.14/0.38    inference(superposition,[],[f9,f24])).
% 0.14/0.38  thf(f24,plain,(
% 0.14/0.38    ( ! [X1 : $i] : (((sK1 @ (^[Y0 : $i]: ((^[Y1 : $i]: (Y1 = Y0))))) = X1) | ((sK0 @ (^[Y0 : $i]: ((^[Y1 : $i]: (Y1 = Y0))))) != X1)) )),
% 0.14/0.38    inference(equality_proxy_clausification,[],[f23])).
% 0.14/0.38  thf(f23,plain,(
% 0.14/0.38    ( ! [X1 : $i] : (((sK1 @ (^[Y0 : $i]: ((^[Y1 : $i]: (Y1 = Y0))))) = X1) | ($false = (X1 = (sK0 @ (^[Y0 : $i]: ((^[Y1 : $i]: (Y1 = Y0)))))))) )),
% 0.14/0.38    inference(equality_proxy_clausification,[],[f22])).
% 0.14/0.38  thf(f22,plain,(
% 0.14/0.38    ( ! [X1 : $i] : (((X1 = (sK1 @ (^[Y0 : $i]: ((^[Y1 : $i]: (Y1 = Y0)))))) = $true) | ($false = (X1 = (sK0 @ (^[Y0 : $i]: ((^[Y1 : $i]: (Y1 = Y0)))))))) )),
% 0.14/0.38    inference(beta_eta_normalization,[],[f15])).
% 0.14/0.38  thf(f15,plain,(
% 0.14/0.38    ( ! [X1 : $i] : ((((^[Y0 : $i]: ((^[Y1 : $i]: (Y1 = Y0)))) @ (sK1 @ (^[Y0 : $i]: ((^[Y1 : $i]: (Y1 = Y0))))) @ X1) = $true) | ($false = ((^[Y0 : $i]: ((^[Y1 : $i]: (Y1 = Y0)))) @ (sK0 @ (^[Y0 : $i]: ((^[Y1 : $i]: (Y1 = Y0))))) @ X1))) )),
% 0.14/0.38    inference(primitive_instantiation,[],[f13])).
% 0.14/0.38  thf(f13,plain,(
% 0.14/0.38    ( ! [X0 : $i > $i > $o,X1 : $i] : (($false = (X0 @ (sK0 @ X0) @ X1)) | ((X0 @ (sK1 @ X0) @ X1) = $true)) )),
% 0.14/0.38    inference(binary_proxy_clausification,[],[f11])).
% 0.14/0.38  thf(f11,plain,(
% 0.14/0.38    ( ! [X0 : $i > $i > $o,X1 : $i] : (((X0 @ (sK1 @ X0) @ X1) = (X0 @ (sK0 @ X0) @ X1))) )),
% 0.14/0.38    inference(argument_congruence,[],[f10])).
% 0.14/0.38  thf(f10,plain,(
% 0.14/0.38    ( ! [X0 : $i > $i > $o] : (((X0 @ (sK1 @ X0)) = (X0 @ (sK0 @ X0)))) )),
% 0.14/0.38    inference(cnf_transformation,[],[f8])).
% 0.14/0.38  thf(f8,plain,(
% 0.14/0.38    ! [X0 : $i > $i > $o] : (((X0 @ (sK1 @ X0)) = (X0 @ (sK0 @ X0))) & ((sK0 @ X0) != (sK1 @ X0)))),
% 0.14/0.38    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f6,f7])).
% 0.14/0.38  thf(f7,plain,(
% 0.14/0.38    ! [X0 : $i > $i > $o] : (? [X1,X2] : (((X0 @ X1) = (X0 @ X2)) & (X1 != X2)) => (((X0 @ (sK1 @ X0)) = (X0 @ (sK0 @ X0))) & ((sK0 @ X0) != (sK1 @ X0))))),
% 0.14/0.38    introduced(choice_axiom,[])).
% 0.14/0.38  thf(f6,plain,(
% 0.14/0.38    ! [X0 : $i > $i > $o] : ? [X1,X2] : (((X0 @ X1) = (X0 @ X2)) & (X1 != X2))),
% 0.14/0.38    inference(rectify,[],[f5])).
% 0.14/0.38  thf(f5,plain,(
% 0.14/0.38    ! [X0 : $i > $i > $o] : ? [X2,X1] : (((X0 @ X1) = (X0 @ X2)) & (X1 != X2))),
% 0.14/0.38    inference(ennf_transformation,[],[f4])).
% 0.14/0.38  thf(f4,plain,(
% 0.14/0.38    ~? [X0 : $i > $i > $o] : ! [X2,X1] : (((X0 @ X1) = (X0 @ X2)) => (X1 = X2))),
% 0.14/0.38    inference(rectify,[],[f2])).
% 0.14/0.38  thf(f2,negated_conjecture,(
% 0.14/0.38    ~? [X0 : $i > $i > $o] : ! [X2,X1] : (((X0 @ X1) = (X0 @ X2)) => (X1 = X2))),
% 0.14/0.38    inference(negated_conjecture,[],[f1])).
% 0.14/0.38  thf(f1,conjecture,(
% 0.14/0.38    ? [X0 : $i > $i > $o] : ! [X2,X1] : (((X0 @ X1) = (X0 @ X2)) => (X1 = X2))),
% 0.14/0.38    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM3_pme)).
% 0.14/0.38  thf(f9,plain,(
% 0.14/0.38    ( ! [X0 : $i > $i > $o] : (((sK0 @ X0) != (sK1 @ X0))) )),
% 0.14/0.38    inference(cnf_transformation,[],[f8])).
% 0.14/0.38  % SZS output end Proof for theBenchmark
% 0.14/0.38  % (31999)------------------------------
% 0.14/0.38  % (31999)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38  % (31999)Termination reason: Refutation
% 0.14/0.38  
% 0.14/0.38  % (31999)Memory used [KB]: 5500
% 0.14/0.38  % (31999)Time elapsed: 0.008 s
% 0.14/0.38  % (31999)Instructions burned: 8 (million)
% 0.14/0.38  % (31999)------------------------------
% 0.14/0.38  % (31999)------------------------------
% 0.14/0.38  % (31998)Success in time 0.03 s
% 0.14/0.38  % Vampire---4.8 exiting
%------------------------------------------------------------------------------