TSTP Solution File: ARI268_1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ARI268_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 : n002.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 15:47:51 EDT 2022

% Result   : Theorem 0.19s 0.53s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   14 (  14 unt;   0 typ;   0 def)
%            Number of atoms       :   14 (  13 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     :   55 (   0 atm;  22 fun;  15 num;  18 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   0 usr;   3 con; 0-2 aty)
%            Number of variables   :   18 (  16   !;   2   ?;  18   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f209,plain,
    $false,
    inference(equality_resolution,[],[f195]) ).

tff(f195,plain,
    ! [X8: $rat] : ( -11/2 != X8 ),
    inference(superposition,[],[f28,f172]) ).

tff(f172,plain,
    ! [X2: $rat,X3: $rat] : ( $sum(X2,$sum($uminus(X2),X3)) = X3 ),
    inference(forward_demodulation,[],[f149,f29]) ).

tff(f29,plain,
    ! [X1: $rat] : ( $sum(0/1,X1) = X1 ),
    inference(superposition,[],[f5,f3]) ).

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

tff(f5,plain,
    ! [X0: $rat] : ( $sum(X0,0/1) = X0 ),
    introduced(theory_axiom_142,[]) ).

tff(f149,plain,
    ! [X2: $rat,X3: $rat] : ( $sum(X2,$sum($uminus(X2),X3)) = $sum(0/1,X3) ),
    inference(superposition,[],[f4,f7]) ).

tff(f7,plain,
    ! [X0: $rat] : ( 0/1 = $sum(X0,$uminus(X0)) ),
    introduced(theory_axiom_145,[]) ).

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

tff(f28,plain,
    ! [X0: $rat] : ( -11/2 != $sum(-7/2,X0) ),
    inference(superposition,[],[f15,f3]) ).

tff(f15,plain,
    ! [X0: $rat] : ( $sum(X0,-7/2) != -11/2 ),
    inference(cnf_transformation,[],[f14]) ).

tff(f14,plain,
    ! [X0: $rat] : ( $sum(X0,-7/2) != -11/2 ),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $rat] : ( $sum(X0,-7/2) = -11/2 ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X0: $rat] : ( $sum(X0,-7/2) = -11/2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rat_sum_problem_23) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem    : ARI268=1 : TPTP v8.1.0. Released v5.0.0.
% 0.11/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n002.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Aug 29 15:43:13 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.49  % (15156)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)
% 0.19/0.50  % (15164)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)
% 0.19/0.50  % (15157)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.19/0.50  % (15160)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)
% 0.19/0.51  % (15145)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)
% 0.19/0.51  % (15145)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.51  % (15145)Terminated due to inappropriate strategy.
% 0.19/0.51  % (15145)------------------------------
% 0.19/0.51  % (15145)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (15145)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (15145)Termination reason: Inappropriate
% 0.19/0.51  
% 0.19/0.51  % (15145)Memory used [KB]: 895
% 0.19/0.51  % (15145)Time elapsed: 0.001 s
% 0.19/0.51  % (15145)------------------------------
% 0.19/0.51  % (15145)------------------------------
% 0.19/0.51  % (15172)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/177Mi)
% 0.19/0.51  % (15168)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)
% 0.19/0.51  % (15151)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)
% 0.19/0.51  % (15151)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.51  % (15151)Terminated due to inappropriate strategy.
% 0.19/0.51  % (15151)------------------------------
% 0.19/0.51  % (15151)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (15151)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (15151)Termination reason: Inappropriate
% 0.19/0.51  
% 0.19/0.51  % (15151)Memory used [KB]: 895
% 0.19/0.51  % (15151)Time elapsed: 0.001 s
% 0.19/0.51  % (15151)------------------------------
% 0.19/0.51  % (15151)------------------------------
% 0.19/0.51  % (15159)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)
% 0.19/0.51  % (15172)First to succeed.
% 0.19/0.51  % (15149)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.51  % (15154)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)
% 0.19/0.51  % (15146)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)
% 0.19/0.52  % (15150)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)
% 0.19/0.52  % (15155)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.52  % (15152)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.19/0.52  % (15153)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.19/0.52  % (15153)Instruction limit reached!
% 0.19/0.52  % (15153)------------------------------
% 0.19/0.52  % (15153)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (15153)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (15153)Termination reason: Unknown
% 0.19/0.52  % (15153)Termination phase: Including theory axioms
% 0.19/0.52  
% 0.19/0.52  % (15153)Memory used [KB]: 895
% 0.19/0.52  % (15153)Time elapsed: 0.002 s
% 0.19/0.52  % (15153)Instructions burned: 2 (million)
% 0.19/0.52  % (15153)------------------------------
% 0.19/0.52  % (15153)------------------------------
% 0.19/0.52  % (15158)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.19/0.52  % (15147)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.19/0.52  % (15167)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)
% 0.19/0.52  % (15148)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)
% 0.19/0.52  % (15173)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.19/0.53  % (15165)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)
% 0.19/0.53  % (15161)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)
% 0.19/0.53  % (15170)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.19/0.53  % (15174)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)
% 0.19/0.53  % (15169)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.19/0.53  % (15171)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)
% 0.19/0.53  % (15172)Refutation found. Thanks to Tanya!
% 0.19/0.53  % SZS status Theorem for theBenchmark
% 0.19/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53  % (15172)------------------------------
% 0.19/0.53  % (15172)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (15172)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (15172)Termination reason: Refutation
% 0.19/0.53  
% 0.19/0.53  % (15172)Memory used [KB]: 1023
% 0.19/0.53  % (15172)Time elapsed: 0.121 s
% 0.19/0.53  % (15172)Instructions burned: 10 (million)
% 0.19/0.53  % (15172)------------------------------
% 0.19/0.53  % (15172)------------------------------
% 0.19/0.53  % (15144)Success in time 0.191 s
%------------------------------------------------------------------------------