TSTP Solution File: ARI061_1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ARI061_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n020.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 : Wed Aug 31 15:47:21 EDT 2022

% Result   : Theorem 0.22s 0.56s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   21 (  18 unt;   3 typ;   0 def)
%            Number of atoms       :   18 (  17 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    5 (   5   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number arithmetic     :   73 (   0 atm;  31 fun;  17 num;  25 var)
%            Number of types       :    4 (   0 usr;   3 ari)
%            Number of type conns  :    6 (   3   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   0 usr;   3 con; 0-2 aty)
%            Number of variables   :   25 (  23   !;   2   ?;  25   :)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_2,type,
    sQ0_eqProxy: ( $int * $int ) > $o ).

tff(pred_def_3,type,
    sQ1_eqProxy: ( $rat * $rat ) > $o ).

tff(pred_def_4,type,
    sQ2_eqProxy: ( $real * $real ) > $o ).

tff(f265,plain,
    $false,
    inference(equality_resolution,[],[f231]) ).

tff(f231,plain,
    ! [X14: $int] : ( 34 != X14 ),
    inference(superposition,[],[f23,f208]) ).

tff(f208,plain,
    ! [X2: $int,X3: $int] : ( $sum(X2,$sum($uminus(X2),X3)) = X3 ),
    inference(forward_demodulation,[],[f105,f66]) ).

tff(f66,plain,
    ! [X0: $int] : ( $sum(0,X0) = X0 ),
    inference(superposition,[],[f18,f25]) ).

tff(f25,plain,
    ! [X0: $int] : ( $sum(X0,0) = X0 ),
    inference(literal_reordering,[],[f5]) ).

tff(f5,plain,
    ! [X0: $int] : ( $sum(X0,0) = X0 ),
    introduced(theory_axiom_142,[]) ).

tff(f18,plain,
    ! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
    inference(literal_reordering,[],[f3]) ).

tff(f3,plain,
    ! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
    introduced(theory_axiom_140,[]) ).

tff(f105,plain,
    ! [X2: $int,X3: $int] : ( $sum(0,X3) = $sum(X2,$sum($uminus(X2),X3)) ),
    inference(superposition,[],[f24,f19]) ).

tff(f19,plain,
    ! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
    inference(literal_reordering,[],[f7]) ).

tff(f7,plain,
    ! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
    introduced(theory_axiom_145,[]) ).

tff(f24,plain,
    ! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
    inference(literal_reordering,[],[f4]) ).

tff(f4,plain,
    ! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
    introduced(theory_axiom_141,[]) ).

tff(f23,plain,
    ! [X0: $int] : ( $sum(23,X0) != 34 ),
    inference(literal_reordering,[],[f16]) ).

tff(f16,plain,
    ! [X0: $int] : ( $sum(23,X0) != 34 ),
    inference(cnf_transformation,[],[f15]) ).

tff(f15,plain,
    ! [X0: $int] : ( $sum(23,X0) != 34 ),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $int] : ( $sum(23,X0) = 34 ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X0: $int] : ( $sum(23,X0) = 34 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_23_something_34) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.14  % Problem    : ARI061=1 : TPTP v8.1.0. Released v5.0.0.
% 0.10/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.36  % Computer : n020.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Mon Aug 29 15:21:45 EDT 2022
% 0.14/0.37  % CPUTime    : 
% 0.22/0.51  % (7833)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/191324Mi)
% 0.22/0.51  % (7842)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.22/0.52  % (7854)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/176Mi)
% 0.22/0.52  % (7860)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 0.22/0.53  % (7845)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.22/0.53  % (7833)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.53  % (7833)Terminated due to inappropriate strategy.
% 0.22/0.53  % (7833)------------------------------
% 0.22/0.53  % (7833)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.53  % (7833)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.53  % (7833)Termination reason: Inappropriate
% 0.22/0.53  
% 0.22/0.53  % (7833)Memory used [KB]: 895
% 0.22/0.53  % (7833)Time elapsed: 0.004 s
% 0.22/0.53  % (7833)Instructions burned: 1 (million)
% 0.22/0.53  % (7852)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.22/0.53  % (7833)------------------------------
% 0.22/0.53  % (7833)------------------------------
% 0.22/0.53  % (7844)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.22/0.53  % (7841)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.22/0.54  % (7838)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 0.22/0.54  % (7856)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/498Mi)
% 0.22/0.54  % (7846)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.22/0.55  % (7860)First to succeed.
% 0.22/0.55  % (7837)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.22/0.55  % (7834)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.22/0.55  % (7849)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 0.22/0.55  % (7836)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.22/0.55  % (7843)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.22/0.55  % (7841)Instruction limit reached!
% 0.22/0.55  % (7841)------------------------------
% 0.22/0.55  % (7841)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.55  % (7841)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.55  % (7841)Termination reason: Unknown
% 0.22/0.55  % (7841)Termination phase: Unused predicate definition removal
% 0.22/0.55  
% 0.22/0.55  % (7841)Memory used [KB]: 895
% 0.22/0.55  % (7841)Time elapsed: 0.002 s
% 0.22/0.55  % (7841)Instructions burned: 2 (million)
% 0.22/0.55  % (7841)------------------------------
% 0.22/0.55  % (7841)------------------------------
% 0.22/0.55  % (7847)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 0.22/0.55  % (7839)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.22/0.56  % (7839)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.56  % (7839)Terminated due to inappropriate strategy.
% 0.22/0.56  % (7839)------------------------------
% 0.22/0.56  % (7839)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.56  % (7839)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.56  % (7839)Termination reason: Inappropriate
% 0.22/0.56  
% 0.22/0.56  % (7839)Memory used [KB]: 895
% 0.22/0.56  % (7839)Time elapsed: 0.003 s
% 0.22/0.56  % (7839)Instructions burned: 2 (million)
% 0.22/0.56  % (7839)------------------------------
% 0.22/0.56  % (7839)------------------------------
% 0.22/0.56  % (7850)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.22/0.56  % (7851)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.22/0.56  % (7851)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.56  % (7851)Terminated due to inappropriate strategy.
% 0.22/0.56  % (7851)------------------------------
% 0.22/0.56  % (7851)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.56  % (7851)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.56  % (7851)Termination reason: Inappropriate
% 0.22/0.56  
% 0.22/0.56  % (7851)Memory used [KB]: 895
% 0.22/0.56  % (7851)Time elapsed: 0.001 s
% 0.22/0.56  % (7851)------------------------------
% 0.22/0.56  % (7851)------------------------------
% 0.22/0.56  % (7863)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/355Mi)
% 0.22/0.56  % (7840)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.22/0.56  % (7857)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/467Mi)
% 0.22/0.56  % (7853)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.22/0.56  % (7862)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.22/0.56  % (7860)Refutation found. Thanks to Tanya!
% 0.22/0.56  % SZS status Theorem for theBenchmark
% 0.22/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.56  % (7860)------------------------------
% 0.22/0.56  % (7860)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.56  % (7860)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.56  % (7860)Termination reason: Refutation
% 0.22/0.56  
% 0.22/0.56  % (7860)Memory used [KB]: 5884
% 0.22/0.56  % (7860)Time elapsed: 0.013 s
% 0.22/0.56  % (7860)Instructions burned: 13 (million)
% 0.22/0.56  % (7860)------------------------------
% 0.22/0.56  % (7860)------------------------------
% 0.22/0.56  % (7832)Success in time 0.183 s
%------------------------------------------------------------------------------