TSTP Solution File: GRP123-7.003 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP123-7.003 : 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 : n012.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 16:14:17 EDT 2022

% Result   : Unsatisfiable 0.19s 0.53s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   31 (  10 unt;   0 def)
%            Number of atoms       :   72 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   63 (  22   ~;  41   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   31 (  31   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f141,plain,
    $false,
    inference(unit_resulting_resolution,[],[f13,f20,f139,f19]) ).

fof(f19,axiom,
    ! [X3,X0,X1,X4] :
      ( ~ product1(X3,X1,X0)
      | equalish(X3,X4)
      | ~ product1(X4,X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product1_left_cancellation) ).

fof(f139,plain,
    product1(e_2,e_3,e_3),
    inference(subsumption_resolution,[],[f138,f14]) ).

fof(f14,axiom,
    ~ equalish(e_3,e_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_1) ).

fof(f138,plain,
    ( product1(e_2,e_3,e_3)
    | equalish(e_3,e_1) ),
    inference(resolution,[],[f128,f31]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( ~ product1(X1,X0,X0)
      | equalish(X0,X1) ),
    inference(resolution,[],[f19,f20]) ).

fof(f128,plain,
    ( product1(e_1,e_3,e_3)
    | product1(e_2,e_3,e_3) ),
    inference(subsumption_resolution,[],[f126,f14]) ).

fof(f126,plain,
    ( product1(e_2,e_3,e_3)
    | equalish(e_3,e_1)
    | product1(e_1,e_3,e_3) ),
    inference(resolution,[],[f103,f29]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ~ product1(X1,X0,X1)
      | equalish(X0,X1) ),
    inference(resolution,[],[f18,f20]) ).

fof(f18,axiom,
    ! [X3,X0,X1,X4] :
      ( ~ product1(X0,X4,X1)
      | equalish(X3,X4)
      | ~ product1(X0,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product1_right_cancellation) ).

fof(f103,plain,
    ( product1(e_1,e_3,e_1)
    | product1(e_2,e_3,e_3)
    | product1(e_1,e_3,e_3) ),
    inference(resolution,[],[f102,f81]) ).

fof(f81,plain,
    ( ~ product1(e_2,e_3,e_1)
    | product1(e_1,e_3,e_1)
    | product1(e_1,e_3,e_3) ),
    inference(subsumption_resolution,[],[f78,f14]) ).

fof(f78,plain,
    ( product1(e_1,e_3,e_3)
    | product1(e_1,e_3,e_1)
    | ~ product1(e_2,e_3,e_1)
    | equalish(e_3,e_1) ),
    inference(resolution,[],[f59,f36]) ).

fof(f36,plain,
    ! [X2,X3,X1] :
      ( ~ product1(X2,X1,X3)
      | ~ product1(X3,X1,X2)
      | equalish(X1,X2) ),
    inference(resolution,[],[f32,f26]) ).

fof(f26,axiom,
    ! [X0,X1,X6,X5] :
      ( product2(X6,X0,X1)
      | ~ product1(X5,X1,X6)
      | ~ product1(X0,X1,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg1a) ).

fof(f32,plain,
    ! [X0,X1] :
      ( ~ product2(X0,X0,X1)
      | equalish(X1,X0) ),
    inference(resolution,[],[f22,f25]) ).

fof(f25,axiom,
    ! [X0] : product2(X0,X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product2_idempotence) ).

fof(f22,axiom,
    ! [X3,X0,X1,X4] :
      ( ~ product2(X0,X1,X4)
      | ~ product2(X0,X1,X3)
      | equalish(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product2_total_function2) ).

fof(f59,plain,
    ( product1(e_1,e_3,e_2)
    | product1(e_1,e_3,e_1)
    | product1(e_1,e_3,e_3) ),
    inference(resolution,[],[f54,f9]) ).

fof(f9,axiom,
    group_element(e_3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3) ).

fof(f54,plain,
    ! [X0] :
      ( ~ group_element(X0)
      | product1(e_1,X0,e_2)
      | product1(e_1,X0,e_3)
      | product1(e_1,X0,e_1) ),
    inference(resolution,[],[f16,f7]) ).

fof(f7,axiom,
    group_element(e_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).

fof(f16,axiom,
    ! [X0,X1] :
      ( ~ group_element(X0)
      | product1(X0,X1,e_1)
      | product1(X0,X1,e_3)
      | product1(X0,X1,e_2)
      | ~ group_element(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product1_total_function1) ).

fof(f102,plain,
    ( product1(e_2,e_3,e_1)
    | product1(e_2,e_3,e_3) ),
    inference(subsumption_resolution,[],[f99,f15]) ).

fof(f15,axiom,
    ~ equalish(e_3,e_2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_2) ).

fof(f99,plain,
    ( product1(e_2,e_3,e_3)
    | equalish(e_3,e_2)
    | product1(e_2,e_3,e_1) ),
    inference(resolution,[],[f73,f29]) ).

fof(f73,plain,
    ( product1(e_2,e_3,e_2)
    | product1(e_2,e_3,e_3)
    | product1(e_2,e_3,e_1) ),
    inference(resolution,[],[f55,f9]) ).

fof(f55,plain,
    ! [X1] :
      ( ~ group_element(X1)
      | product1(e_2,X1,e_2)
      | product1(e_2,X1,e_1)
      | product1(e_2,X1,e_3) ),
    inference(resolution,[],[f16,f8]) ).

fof(f8,axiom,
    group_element(e_2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2) ).

fof(f20,axiom,
    ! [X0] : product1(X0,X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product1_idempotence) ).

fof(f13,axiom,
    ~ equalish(e_2,e_3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : GRP123-7.003 : TPTP v8.1.0. Released v1.2.0.
% 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 : n012.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 22:12:06 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.50  % (9398)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50  % (9401)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)
% 0.19/0.50  % (9411)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=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.19/0.50  % (9403)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)
% 0.19/0.50  % (9395)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)
% 0.19/0.51  % (9390)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.19/0.51  % (9400)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)
% 0.19/0.51  % (9394)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.52  % (9419)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)
% 0.19/0.52  % (9391)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)
% 0.19/0.52  % (9401)Instruction limit reached!
% 0.19/0.52  % (9401)------------------------------
% 0.19/0.52  % (9401)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (9401)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (9401)Termination reason: Unknown
% 0.19/0.52  % (9401)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (9401)Memory used [KB]: 5884
% 0.19/0.52  % (9401)Time elapsed: 0.114 s
% 0.19/0.52  % (9401)Instructions burned: 5 (million)
% 0.19/0.52  % (9401)------------------------------
% 0.19/0.52  % (9401)------------------------------
% 0.19/0.52  % (9391)Refutation not found, incomplete strategy% (9391)------------------------------
% 0.19/0.52  % (9391)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (9391)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (9391)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52  
% 0.19/0.52  % (9391)Memory used [KB]: 5884
% 0.19/0.52  % (9391)Time elapsed: 0.113 s
% 0.19/0.52  % (9391)Instructions burned: 2 (million)
% 0.19/0.52  % (9391)------------------------------
% 0.19/0.52  % (9391)------------------------------
% 0.19/0.52  % (9403)First to succeed.
% 0.19/0.53  % (9389)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.53  % (9393)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)
% 0.19/0.53  % (9393)Refutation not found, incomplete strategy% (9393)------------------------------
% 0.19/0.53  % (9393)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (9393)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (9393)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53  
% 0.19/0.53  % (9393)Memory used [KB]: 5756
% 0.19/0.53  % (9393)Time elapsed: 0.001 s
% 0.19/0.53  % (9393)------------------------------
% 0.19/0.53  % (9393)------------------------------
% 0.19/0.53  % (9406)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.53  % (9403)Refutation found. Thanks to Tanya!
% 0.19/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53  % (9403)------------------------------
% 0.19/0.53  % (9403)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (9403)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (9403)Termination reason: Refutation
% 0.19/0.53  
% 0.19/0.53  % (9403)Memory used [KB]: 1407
% 0.19/0.53  % (9403)Time elapsed: 0.066 s
% 0.19/0.53  % (9403)Instructions burned: 17 (million)
% 0.19/0.53  % (9403)------------------------------
% 0.19/0.53  % (9403)------------------------------
% 0.19/0.53  % (9387)Success in time 0.178 s
%------------------------------------------------------------------------------