TSTP Solution File: ARI493_1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---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_uns --cores 0 -t %d %s

% Computer : n014.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 15:46:13 EDT 2022

% Result   : Theorem 0.17s 0.53s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   18 (  15 unt;   0 typ;   0 def)
%            Number of atoms       :   21 (   4 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    :    3 (   1 avg)
%            Number arithmetic     :   90 (  16 atm;  31 fun;  19 num;  24 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   :   24 (  22   !;   2   ?;  24   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f322,plain,
    $false,
    inference(evaluation,[],[f320]) ).

tff(f320,plain,
    $less(0.0,-7.5),
    inference(superposition,[],[f298,f7]) ).

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

tff(f298,plain,
    ! [X5: $real] : $less($sum(-7.5,$uminus(X5)),X5),
    inference(forward_demodulation,[],[f278,f5]) ).

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

tff(f278,plain,
    ! [X5: $real] : $less($sum(-7.5,$uminus(X5)),$sum(X5,0.0)),
    inference(superposition,[],[f31,f7]) ).

tff(f31,plain,
    ! [X2: $real,X3: $real] : $less($sum(-7.5,X2),$sum(X3,$sum(X3,X2))),
    inference(forward_demodulation,[],[f25,f4]) ).

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

tff(f25,plain,
    ! [X2: $real,X3: $real] : $less($sum(-7.5,X2),$sum($sum(X3,X3),X2)),
    inference(resolution,[],[f23,f11]) ).

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

tff(f23,plain,
    ! [X1: $real] : $less(-7.5,$sum(X1,X1)),
    inference(evaluation,[],[f22]) ).

tff(f22,plain,
    ! [X1: $real] : $less($sum(-6.5,$uminus(1.0)),$sum(X1,X1)),
    inference(gaussian_variable_elimination,[],[f16]) ).

tff(f16,plain,
    ! [X0: $real,X1: $real] :
      ( ( -6.5 != $sum(X0,1.0) )
      | $less(X0,$sum(X1,X1)) ),
    inference(constrained_resolution,[],[f15,f12]) ).

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

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/sandbox/benchmark/theBenchmark.p',real_combined_problem_8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : ARI493=1 : TPTP v8.1.0. Released v5.0.0.
% 0.10/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.32  % Computer : n014.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 300
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Mon Aug 29 15:44:03 EDT 2022
% 0.10/0.32  % CPUTime    : 
% 0.17/0.47  % (1303)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/32Mi)
% 0.17/0.49  % (1320)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.17/0.49  % (1312)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.17/0.49  % (1312)Instruction limit reached!
% 0.17/0.49  % (1312)------------------------------
% 0.17/0.49  % (1312)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.49  % (1312)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.49  % (1312)Termination reason: Unknown
% 0.17/0.49  % (1312)Termination phase: Saturation
% 0.17/0.49  
% 0.17/0.49  % (1312)Memory used [KB]: 5373
% 0.17/0.49  % (1312)Time elapsed: 0.065 s
% 0.17/0.49  % (1312)Instructions burned: 2 (million)
% 0.17/0.49  % (1312)------------------------------
% 0.17/0.49  % (1312)------------------------------
% 0.17/0.50  % (1311)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.17/0.50  % (1319)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/46Mi)
% 0.17/0.50  % (1304)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/36Mi)
% 0.17/0.50  % (1300)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.17/0.50  % (1300)Instruction limit reached!
% 0.17/0.50  % (1300)------------------------------
% 0.17/0.50  % (1300)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.50  % (1300)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.50  % (1300)Termination reason: Unknown
% 0.17/0.50  % (1300)Termination phase: Saturation
% 0.17/0.50  
% 0.17/0.50  % (1300)Memory used [KB]: 5373
% 0.17/0.50  % (1300)Time elapsed: 0.124 s
% 0.17/0.50  % (1300)Instructions burned: 2 (million)
% 0.17/0.50  % (1300)------------------------------
% 0.17/0.50  % (1300)------------------------------
% 0.17/0.50  % (1301)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.17/0.50  % (1297)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59848Mi)
% 0.17/0.51  % (1298)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/34Mi)
% 0.17/0.51  % (1299)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/8Mi)
% 0.17/0.51  % (1311)First to succeed.
% 0.17/0.52  % (1302)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/15Mi)
% 0.17/0.52  % (1324)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/21Mi)
% 0.17/0.52  % (1324)Refutation not found, incomplete strategy% (1324)------------------------------
% 0.17/0.52  % (1324)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.52  % (1324)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.52  % (1324)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.52  
% 0.17/0.52  % (1324)Memory used [KB]: 5373
% 0.17/0.52  % (1324)Time elapsed: 0.144 s
% 0.17/0.52  % (1324)------------------------------
% 0.17/0.52  % (1324)------------------------------
% 0.17/0.53  % (1320)Also succeeded, but the first one will report.
% 0.17/0.53  % (1299)Instruction limit reached!
% 0.17/0.53  % (1299)------------------------------
% 0.17/0.53  % (1299)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.53  % (1299)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.53  % (1299)Termination reason: Unknown
% 0.17/0.53  % (1299)Termination phase: Saturation
% 0.17/0.53  
% 0.17/0.53  % (1299)Memory used [KB]: 5500
% 0.17/0.53  % (1299)Time elapsed: 0.145 s
% 0.17/0.53  % (1299)Instructions burned: 8 (million)
% 0.17/0.53  % (1299)------------------------------
% 0.17/0.53  % (1299)------------------------------
% 0.17/0.53  % (1311)Refutation found. Thanks to Tanya!
% 0.17/0.53  % SZS status Theorem for theBenchmark
% 0.17/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.53  % (1311)------------------------------
% 0.17/0.53  % (1311)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.53  % (1311)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.53  % (1311)Termination reason: Refutation
% 0.17/0.53  
% 0.17/0.53  % (1311)Memory used [KB]: 5756
% 0.17/0.53  % (1311)Time elapsed: 0.128 s
% 0.17/0.53  % (1311)Instructions burned: 13 (million)
% 0.17/0.53  % (1311)------------------------------
% 0.17/0.53  % (1311)------------------------------
% 0.17/0.53  % (1296)Success in time 0.2 s
%------------------------------------------------------------------------------