TSTP Solution File: ARI493_1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ARI493_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 : n004.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 15:48:20 EDT 2022

% Result   : Theorem 1.90s 0.60s
% Output   : Refutation 1.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   20 (  17 unt;   0 typ;   0 def)
%            Number of atoms       :   23 (   7 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   5   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number arithmetic     :  100 (  15 atm;  37 fun;  21 num;  27 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   0 usr;   4 con; 0-2 aty)
%            Number of variables   :   27 (  25   !;   2   ?;  27   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f760,plain,
    $false,
    inference(evaluation,[],[f755]) ).

tff(f755,plain,
    $less(0.0,$uminus(7.5)),
    inference(superposition,[],[f253,f108]) ).

tff(f108,plain,
    ! [X2: $real,X3: $real] : ( $sum(X2,$sum($uminus(X2),X3)) = X3 ),
    inference(forward_demodulation,[],[f87,f21]) ).

tff(f21,plain,
    ! [X1: $real] : ( $sum(0.0,X1) = X1 ),
    inference(superposition,[],[f5,f3]) ).

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

tff(f5,plain,
    ! [X0: $real] : ( $sum(X0,0.0) = X0 ),
    introduced(theory_axiom_142,[]) ).

tff(f87,plain,
    ! [X2: $real,X3: $real] : ( $sum(0.0,X3) = $sum(X2,$sum($uminus(X2),X3)) ),
    inference(superposition,[],[f4,f7]) ).

tff(f7,plain,
    ! [X0: $real] : ( $sum(X0,$uminus(X0)) = 0.0 ),
    introduced(theory_axiom_145,[]) ).

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

tff(f253,plain,
    ! [X20: $real] : $less(0.0,$sum(7.5,$sum(X20,X20))),
    inference(evaluation,[],[f250]) ).

tff(f250,plain,
    ! [X20: $real] : $less(0.0,$sum($sum(X20,$sum(X20,1.0)),$uminus(-6.5))),
    inference(resolution,[],[f57,f27]) ).

tff(f27,plain,
    ! [X1: $real] : $less(-6.5,$sum(X1,$sum(X1,1.0))),
    inference(forward_demodulation,[],[f24,f4]) ).

tff(f24,plain,
    ! [X1: $real] : $less(-6.5,$sum($sum(X1,X1),1.0)),
    inference(resolution,[],[f12,f15]) ).

tff(f15,plain,
    ! [X0: $real] : ~ $less($sum(X0,X0),-6.5),
    inference(cnf_transformation,[],[f14]) ).

tff(f14,plain,
    ! [X0: $real] : ~ $less($sum(X0,X0),-6.5),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $real] : $less($sum(X0,X0),-6.5),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X0: $real] : $less($sum(X0,X0),-6.5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',real_combined_problem_8) ).

tff(f12,plain,
    ! [X0: $real,X1: $real] :
      ( $less(X1,$sum(X0,1.0))
      | $less(X0,X1) ),
    introduced(theory_axiom_152,[]) ).

tff(f57,plain,
    ! [X2: $real,X3: $real] :
      ( ~ $less(X2,X3)
      | $less(0.0,$sum(X3,$uminus(X2))) ),
    inference(superposition,[],[f11,f7]) ).

tff(f11,plain,
    ! [X2: $real,X0: $real,X1: $real] :
      ( $less($sum(X0,X2),$sum(X1,X2))
      | ~ $less(X0,X1) ),
    introduced(theory_axiom_150,[]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : ARI493=1 : TPTP v8.1.0. Released v5.0.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n004.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon Aug 29 15:39:34 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.48  % (11030)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.50  % (11038)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.20/0.50  % (11029)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)
% 0.20/0.50  % (11032)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.20/0.51  % (11046)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)
% 0.20/0.52  % (11042)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)
% 0.20/0.52  % (11022)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)
% 0.20/0.52  % (11024)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.52  % (11034)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)
% 0.20/0.53  % (11023)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)
% 0.20/0.53  % (11021)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)
% 0.20/0.53  % (11025)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)
% 0.20/0.53  % (11028)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.20/0.53  % (11031)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)
% 0.20/0.53  % (11028)Instruction limit reached!
% 0.20/0.53  % (11028)------------------------------
% 0.20/0.53  % (11028)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (11028)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (11028)Termination reason: Unknown
% 0.20/0.53  % (11028)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (11028)Memory used [KB]: 5373
% 0.20/0.53  % (11028)Time elapsed: 0.135 s
% 0.20/0.53  % (11028)Instructions burned: 2 (million)
% 0.20/0.53  % (11028)------------------------------
% 0.20/0.53  % (11028)------------------------------
% 0.20/0.53  % (11026)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)
% 0.20/0.53  % (11020)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)
% 0.20/0.53  % (11026)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.53  % (11026)Terminated due to inappropriate strategy.
% 0.20/0.53  % (11026)------------------------------
% 0.20/0.53  % (11026)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (11026)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (11026)Termination reason: Inappropriate
% 0.20/0.53  
% 0.20/0.53  % (11020)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.53  % (11026)Memory used [KB]: 895
% 0.20/0.53  % (11026)Time elapsed: 0.003 s
% 0.20/0.53  % (11026)------------------------------
% 0.20/0.53  % (11026)------------------------------
% 0.20/0.53  % (11020)Terminated due to inappropriate strategy.
% 0.20/0.53  % (11020)------------------------------
% 0.20/0.53  % (11020)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (11020)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (11020)Termination reason: Inappropriate
% 0.20/0.53  
% 0.20/0.53  % (11020)Memory used [KB]: 895
% 0.20/0.53  % (11020)Time elapsed: 0.003 s
% 0.20/0.53  % (11020)Instructions burned: 1 (million)
% 0.20/0.53  % (11020)------------------------------
% 0.20/0.53  % (11020)------------------------------
% 0.20/0.53  % (11043)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)
% 0.20/0.53  % (11027)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.20/0.54  % (11048)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.20/0.54  % (11041)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.20/0.54  % (11035)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)
% 0.20/0.54  % (11030)Instruction limit reached!
% 0.20/0.54  % (11030)------------------------------
% 0.20/0.54  % (11030)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (11047)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)
% 0.20/0.54  % (11030)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (11030)Termination reason: Unknown
% 0.20/0.54  % (11030)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (11030)Memory used [KB]: 6268
% 0.20/0.54  % (11030)Time elapsed: 0.116 s
% 0.20/0.54  % (11030)Instructions burned: 50 (million)
% 0.20/0.54  % (11030)------------------------------
% 0.20/0.54  % (11030)------------------------------
% 0.20/0.54  % (11037)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.20/0.54  % (11036)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)
% 0.20/0.54  % (11040)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)
% 0.20/0.54  % (11033)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.20/0.54  % (11044)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.20/0.54  % (11039)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)
% 0.20/0.54  % (11045)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.20/0.55  % (11037)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.55  % (11037)Terminated due to inappropriate strategy.
% 0.20/0.55  % (11037)------------------------------
% 0.20/0.55  % (11037)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (11037)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (11037)Termination reason: Inappropriate
% 0.20/0.55  
% 0.20/0.55  % (11037)Memory used [KB]: 895
% 0.20/0.55  % (11037)Time elapsed: 0.002 s
% 0.20/0.55  % (11037)Instructions burned: 1 (million)
% 0.20/0.55  % (11049)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)
% 0.20/0.55  % (11037)------------------------------
% 0.20/0.55  % (11037)------------------------------
% 0.20/0.56  % (11027)Instruction limit reached!
% 0.20/0.56  % (11027)------------------------------
% 0.20/0.56  % (11027)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (11027)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (11027)Termination reason: Unknown
% 0.20/0.56  % (11027)Termination phase: Saturation
% 0.20/0.56  
% 0.20/0.56  % (11027)Memory used [KB]: 5500
% 0.20/0.56  % (11027)Time elapsed: 0.143 s
% 0.20/0.56  % (11027)Instructions burned: 7 (million)
% 0.20/0.56  % (11027)------------------------------
% 0.20/0.56  % (11027)------------------------------
% 0.20/0.57  % (11022)Instruction limit reached!
% 0.20/0.57  % (11022)------------------------------
% 0.20/0.57  % (11022)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (11022)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (11022)Termination reason: Unknown
% 0.20/0.57  % (11022)Termination phase: Saturation
% 0.20/0.57  
% 0.20/0.57  % (11022)Memory used [KB]: 1535
% 0.20/0.57  % (11022)Time elapsed: 0.168 s
% 0.20/0.57  % (11022)Instructions burned: 37 (million)
% 0.20/0.57  % (11022)------------------------------
% 0.20/0.57  % (11022)------------------------------
% 0.20/0.58  % (11029)Instruction limit reached!
% 0.20/0.58  % (11029)------------------------------
% 0.20/0.58  % (11029)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.90/0.60  % (11029)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.90/0.60  % (11029)Termination reason: Unknown
% 1.90/0.60  % (11029)Termination phase: Saturation
% 1.90/0.60  
% 1.90/0.60  % (11029)Memory used [KB]: 1663
% 1.90/0.60  % (11029)Time elapsed: 0.184 s
% 1.90/0.60  % (11029)Instructions burned: 51 (million)
% 1.90/0.60  % (11029)------------------------------
% 1.90/0.60  % (11029)------------------------------
% 1.90/0.60  % (11049)First to succeed.
% 1.90/0.60  % (11049)Refutation found. Thanks to Tanya!
% 1.90/0.60  % SZS status Theorem for theBenchmark
% 1.90/0.60  % SZS output start Proof for theBenchmark
% See solution above
% 1.90/0.60  % (11049)------------------------------
% 1.90/0.60  % (11049)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.90/0.60  % (11049)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.90/0.60  % (11049)Termination reason: Refutation
% 1.90/0.60  
% 1.90/0.60  % (11049)Memory used [KB]: 5884
% 1.90/0.60  % (11049)Time elapsed: 0.207 s
% 1.90/0.60  % (11049)Instructions burned: 32 (million)
% 1.90/0.60  % (11049)------------------------------
% 1.90/0.60  % (11049)------------------------------
% 1.90/0.60  % (11019)Success in time 0.249 s
%------------------------------------------------------------------------------