TSTP Solution File: NUM004-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : NUM004-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : n027.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 17:56:33 EDT 2022

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of formulae    :    9 (   7 unt;   0 def)
%            Number of atoms       :   13 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   11 (   7   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   13 (  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f76,plain,
    $false,
    inference(unit_resulting_resolution,[],[f3,f1,f29,f11]) ).

fof(f11,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ equalish(X2,subtract(X0,X3))
      | ~ equalish(X0,X1)
      | equalish(X2,subtract(X1,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subtract_substitution1) ).

fof(f29,plain,
    ~ equalish(subtract(add(a,b),c),subtract(add(b,a),c)),
    inference(unit_resulting_resolution,[],[f8,f20,f2]) ).

fof(f2,axiom,
    ! [X2,X0,X1] :
      ( ~ equalish(X1,X2)
      | ~ equalish(X0,X1)
      | equalish(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).

fof(f20,plain,
    ~ equalish(subtract(add(a,b),c),add(subtract(b,c),a)),
    inference(unit_resulting_resolution,[],[f3,f13,f2]) ).

fof(f13,axiom,
    ~ equalish(subtract(add(a,b),c),add(a,subtract(b,c))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equation) ).

fof(f8,axiom,
    ! [X2,X0,X1] : equalish(subtract(add(X0,X1),X2),add(subtract(X0,X2),X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity2) ).

fof(f1,axiom,
    ! [X0] : equalish(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).

fof(f3,axiom,
    ! [X0,X1] : equalish(add(X0,X1),add(X1,X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_addition) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : NUM004-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n027.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 06:02:00 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  % (19808)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.49  % (19816)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.20/0.50  % (19807)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.50  % (19815)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.51  % (19815)Instruction limit reached!
% 0.20/0.51  % (19815)------------------------------
% 0.20/0.51  % (19815)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (19809)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.51  % (19811)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.51  % (19835)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.20/0.51  % (19810)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.51  % (19817)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.52  % (19836)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.20/0.52  % (19836)Refutation not found, incomplete strategy% (19836)------------------------------
% 0.20/0.52  % (19836)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (19836)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (19836)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52  
% 0.20/0.52  % (19836)Memory used [KB]: 1279
% 0.20/0.52  % (19836)Time elapsed: 0.125 s
% 0.20/0.52  % (19836)Instructions burned: 2 (million)
% 0.20/0.52  % (19836)------------------------------
% 0.20/0.52  % (19836)------------------------------
% 0.20/0.52  % (19809)First to succeed.
% 0.20/0.52  % (19815)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (19815)Termination reason: Unknown
% 0.20/0.52  % (19815)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (19815)Memory used [KB]: 6012
% 0.20/0.52  % (19815)Time elapsed: 0.096 s
% 0.20/0.52  % (19815)Instructions burned: 7 (million)
% 0.20/0.52  % (19815)------------------------------
% 0.20/0.52  % (19815)------------------------------
% 0.20/0.52  % (19830)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.52  % (19816)Instruction limit reached!
% 0.20/0.52  % (19816)------------------------------
% 0.20/0.52  % (19816)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (19816)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (19816)Termination reason: Unknown
% 0.20/0.52  % (19816)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (19816)Memory used [KB]: 6012
% 0.20/0.52  % (19816)Time elapsed: 0.124 s
% 0.20/0.52  % (19816)Instructions burned: 24 (million)
% 0.20/0.52  % (19816)------------------------------
% 0.20/0.52  % (19816)------------------------------
% 0.20/0.52  % (19835)Refutation not found, incomplete strategy% (19835)------------------------------
% 0.20/0.52  % (19835)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (19835)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (19835)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52  
% 0.20/0.52  % (19835)Memory used [KB]: 5884
% 0.20/0.52  % (19835)Time elapsed: 0.107 s
% 0.20/0.52  % (19835)------------------------------
% 0.20/0.52  % (19835)------------------------------
% 0.20/0.52  % (19826)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.52  % (19805)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.52  % (19817)Instruction limit reached!
% 0.20/0.52  % (19817)------------------------------
% 0.20/0.52  % (19817)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (19817)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (19817)Termination reason: Unknown
% 0.20/0.52  % (19817)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (19817)Memory used [KB]: 5884
% 0.20/0.52  % (19817)Time elapsed: 0.109 s
% 0.20/0.52  % (19817)Instructions burned: 5 (million)
% 0.20/0.52  % (19817)------------------------------
% 0.20/0.52  % (19817)------------------------------
% 0.20/0.52  % (19822)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.52  % (19812)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  % (19837)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.20/0.53  % (19809)Refutation found. Thanks to Tanya!
% 0.20/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53  % (19809)------------------------------
% 0.20/0.53  % (19809)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (19809)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (19809)Termination reason: Refutation
% 0.20/0.53  
% 0.20/0.53  % (19809)Memory used [KB]: 5884
% 0.20/0.53  % (19809)Time elapsed: 0.120 s
% 0.20/0.53  % (19809)Instructions burned: 3 (million)
% 0.20/0.53  % (19809)------------------------------
% 0.20/0.53  % (19809)------------------------------
% 0.20/0.53  % (19799)Success in time 0.17 s
%------------------------------------------------------------------------------