TSTP Solution File: GRP123-1.003 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP123-1.003 : TPTP v8.1.0. Released v1.2.0.
% 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 : n007.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 16:14:16 EDT 2022

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   20 (  16 unt;   0 def)
%            Number of atoms       :   32 (   0 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   31 (  19   ~;  12   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f99,plain,
    $false,
    inference(subsumption_resolution,[],[f95,f71]) ).

fof(f71,plain,
    product(e_3,e_1,e_2),
    inference(unit_resulting_resolution,[],[f1,f3,f42,f61,f10]) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( product(X0,X1,e_3)
      | ~ group_element(X0)
      | product(X0,X1,e_2)
      | product(X0,X1,e_1)
      | ~ group_element(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1) ).

fof(f61,plain,
    ~ product(e_3,e_1,e_1),
    inference(unit_resulting_resolution,[],[f8,f14,f13]) ).

fof(f13,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ product(X3,X1,X0)
      | equalish(X2,X3)
      | ~ product(X2,X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation) ).

fof(f14,axiom,
    ! [X0] : product(X0,X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_idempotence) ).

fof(f8,axiom,
    ~ equalish(e_3,e_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_1) ).

fof(f42,plain,
    ~ product(e_3,e_1,e_3),
    inference(unit_resulting_resolution,[],[f14,f8,f12]) ).

fof(f12,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ product(X0,X3,X1)
      | equalish(X2,X3)
      | ~ product(X0,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation) ).

fof(f3,axiom,
    group_element(e_3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3) ).

fof(f1,axiom,
    group_element(e_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).

fof(f95,plain,
    ~ product(e_3,e_1,e_2),
    inference(unit_resulting_resolution,[],[f5,f14,f14,f67,f16]) ).

fof(f16,axiom,
    ! [X8,X6,X9,X7,X4,X5] :
      ( ~ product(X9,X8,X7)
      | ~ product(X7,X8,X6)
      | ~ product(X4,X5,X6)
      | ~ product(X9,X5,X4)
      | equalish(X5,X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg1_2) ).

fof(f67,plain,
    product(e_2,e_1,e_3),
    inference(unit_resulting_resolution,[],[f1,f2,f40,f51,f10]) ).

fof(f51,plain,
    ~ product(e_2,e_1,e_1),
    inference(unit_resulting_resolution,[],[f14,f4,f13]) ).

fof(f4,axiom,
    ~ equalish(e_1,e_2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_2) ).

fof(f40,plain,
    ~ product(e_2,e_1,e_2),
    inference(unit_resulting_resolution,[],[f14,f6,f12]) ).

fof(f6,axiom,
    ~ equalish(e_2,e_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_1) ).

fof(f2,axiom,
    group_element(e_2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2) ).

fof(f5,axiom,
    ~ equalish(e_1,e_3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP123-1.003 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.13  % 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 : n007.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   : Mon Aug 29 21:59:15 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.51  % (28224)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.51  % (28224)Instruction limit reached!
% 0.20/0.51  % (28224)------------------------------
% 0.20/0.51  % (28224)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (28224)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (28224)Termination reason: Unknown
% 0.20/0.51  % (28224)Termination phase: Saturation
% 0.20/0.51  
% 0.20/0.51  % (28224)Memory used [KB]: 5884
% 0.20/0.51  % (28224)Time elapsed: 0.106 s
% 0.20/0.51  % (28224)Instructions burned: 4 (million)
% 0.20/0.51  % (28224)------------------------------
% 0.20/0.51  % (28224)------------------------------
% 0.20/0.51  % (28232)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.51  % (28219)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  % (28243)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  % (28219)Refutation not found, incomplete strategy% (28219)------------------------------
% 0.20/0.51  % (28219)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (28219)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (28219)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51  
% 0.20/0.51  % (28219)Memory used [KB]: 5756
% 0.20/0.51  % (28219)Time elapsed: 0.002 s
% 0.20/0.51  % (28219)Instructions burned: 1 (million)
% 0.20/0.51  % (28219)------------------------------
% 0.20/0.51  % (28219)------------------------------
% 0.20/0.51  % (28243)Refutation not found, incomplete strategy% (28243)------------------------------
% 0.20/0.51  % (28243)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (28243)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (28243)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51  
% 0.20/0.51  % (28243)Memory used [KB]: 5884
% 0.20/0.51  % (28243)Time elapsed: 0.086 s
% 0.20/0.51  % (28243)Instructions burned: 2 (million)
% 0.20/0.51  % (28243)------------------------------
% 0.20/0.51  % (28243)------------------------------
% 0.20/0.51  % (28237)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)
% 0.20/0.51  % (28232)Instruction limit reached!
% 0.20/0.51  % (28232)------------------------------
% 0.20/0.51  % (28232)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (28246)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.52  % (28232)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (28232)Termination reason: Unknown
% 0.20/0.52  % (28232)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (28232)Memory used [KB]: 5884
% 0.20/0.52  % (28232)Time elapsed: 0.122 s
% 0.20/0.52  % (28232)Instructions burned: 3 (million)
% 0.20/0.52  % (28232)------------------------------
% 0.20/0.52  % (28232)------------------------------
% 0.20/0.52  % (28240)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  % (28241)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.20/0.52  % (28228)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  % (28218)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)
% 0.20/0.52  % (28218)Refutation not found, incomplete strategy% (28218)------------------------------
% 0.20/0.52  % (28218)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (28218)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (28218)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52  
% 0.20/0.52  % (28218)Memory used [KB]: 5884
% 0.20/0.52  % (28218)Time elapsed: 0.126 s
% 0.20/0.52  % (28218)Instructions burned: 2 (million)
% 0.20/0.52  % (28218)------------------------------
% 0.20/0.52  % (28218)------------------------------
% 0.20/0.52  % (28231)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.52  Detected maximum model sizes of [3]
% 0.20/0.52  TRYING [1]
% 0.20/0.52  TRYING [2]
% 0.20/0.52  % (28221)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.52  % (28222)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)
% 0.20/0.53  % (28236)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53  % (28217)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)
% 0.20/0.53  % (28217)Refutation not found, incomplete strategy% (28217)------------------------------
% 0.20/0.53  % (28217)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (28217)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (28217)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (28217)Memory used [KB]: 5884
% 0.20/0.53  % (28217)Time elapsed: 0.123 s
% 0.20/0.53  % (28217)Instructions burned: 2 (million)
% 0.20/0.53  % (28217)------------------------------
% 0.20/0.53  % (28217)------------------------------
% 0.20/0.53  % (28244)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)
% 0.20/0.53  % (28244)Refutation not found, incomplete strategy% (28244)------------------------------
% 0.20/0.53  % (28244)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (28244)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (28244)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (28244)Memory used [KB]: 1279
% 0.20/0.53  % (28244)Time elapsed: 0.001 s
% 0.20/0.53  % (28244)------------------------------
% 0.20/0.53  % (28244)------------------------------
% 0.20/0.53  % (28230)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.20/0.53  % (28236)Refutation not found, incomplete strategy% (28236)------------------------------
% 0.20/0.53  % (28236)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (28227)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)
% 0.20/0.53  % (28233)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.53  % (28236)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (28236)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (28236)Memory used [KB]: 5884
% 0.20/0.53  % (28236)Time elapsed: 0.129 s
% 0.20/0.53  % (28236)Instructions burned: 2 (million)
% 0.20/0.53  % (28236)------------------------------
% 0.20/0.53  % (28236)------------------------------
% 0.20/0.53  % (28237)First to succeed.
% 0.20/0.53  % (28215)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.53  % (28237)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  % (28237)------------------------------
% 0.20/0.53  % (28237)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (28237)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (28237)Termination reason: Refutation
% 0.20/0.53  
% 0.20/0.53  % (28237)Memory used [KB]: 1407
% 0.20/0.53  % (28237)Time elapsed: 0.129 s
% 0.20/0.53  % (28237)Instructions burned: 5 (million)
% 0.20/0.53  % (28237)------------------------------
% 0.20/0.53  % (28237)------------------------------
% 0.20/0.53  % (28213)Success in time 0.177 s
%------------------------------------------------------------------------------