TSTP Solution File: COL088-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : COL088-1 : TPTP v8.1.0. Released v2.7.0.
% 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 : n026.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 15:52:47 EDT 2022

% Result   : Unsatisfiable 0.17s 0.52s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   22 (   8 unt;   0 def)
%            Number of atoms       :   48 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   55 (  29   ~;  26   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   30 (  30   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f109,plain,
    $false,
    inference(subsumption_resolution,[],[f108,f39]) ).

fof(f39,axiom,
    member(r,comb),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_reduce1_2h1) ).

fof(f108,plain,
    ~ member(r,comb),
    inference(subsumption_resolution,[],[f104,f43]) ).

fof(f43,axiom,
    member(pair(comb_app(p,r),comb_app(y,r)),rtrancl(contract)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_reduce1_2h5) ).

fof(f104,plain,
    ( ~ member(pair(comb_app(p,r),comb_app(y,r)),rtrancl(contract))
    | ~ member(r,comb) ),
    inference(resolution,[],[f103,f44]) ).

fof(f44,axiom,
    ~ member(pair(comb_app(p,r),comb_app(z,r)),rtrancl(contract)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_reduce1_2c1) ).

fof(f103,plain,
    ! [X0,X1] :
      ( member(pair(X0,comb_app(z,X1)),rtrancl(contract))
      | ~ member(X1,comb)
      | ~ member(pair(X0,comb_app(y,X1)),rtrancl(contract)) ),
    inference(subsumption_resolution,[],[f102,f47]) ).

fof(f47,plain,
    member(z,comb),
    inference(resolution,[],[f34,f42]) ).

fof(f42,axiom,
    member(pair(y,z),contract),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_reduce1_2h4) ).

fof(f34,axiom,
    ! [X8,X6] :
      ( ~ member(pair(X6,X8),contract)
      | member(X8,comb) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',contract_combD2) ).

fof(f102,plain,
    ! [X0,X1] :
      ( ~ member(X1,comb)
      | ~ member(z,comb)
      | member(pair(X0,comb_app(z,X1)),rtrancl(contract))
      | ~ member(pair(X0,comb_app(y,X1)),rtrancl(contract)) ),
    inference(resolution,[],[f86,f11]) ).

fof(f11,axiom,
    ! [X0,X1] :
      ( member(comb_app(X0,X1),comb)
      | ~ member(X1,comb)
      | ~ member(X0,comb) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',comb_intros3) ).

fof(f86,plain,
    ! [X4,X5] :
      ( ~ member(comb_app(z,X5),comb)
      | member(pair(X4,comb_app(z,X5)),rtrancl(contract))
      | ~ member(pair(X4,comb_app(y,X5)),rtrancl(contract)) ),
    inference(resolution,[],[f82,f52]) ).

fof(f52,plain,
    ! [X0] :
      ( member(pair(comb_app(y,X0),comb_app(z,X0)),rtrancl(contract))
      | ~ member(comb_app(z,X0),comb) ),
    inference(subsumption_resolution,[],[f51,f8]) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( ~ member(comb_app(X0,X1),comb)
      | member(X1,comb) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_E2) ).

fof(f51,plain,
    ! [X0] :
      ( ~ member(comb_app(z,X0),comb)
      | ~ member(X0,comb)
      | member(pair(comb_app(y,X0),comb_app(z,X0)),rtrancl(contract)) ),
    inference(resolution,[],[f50,f12]) ).

fof(f12,axiom,
    ! [X6] :
      ( member(pair(X6,X6),rtrancl(contract))
      | ~ member(X6,comb) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reduction_refl) ).

fof(f50,plain,
    ! [X0,X1] :
      ( ~ member(pair(comb_app(z,X0),X1),rtrancl(contract))
      | ~ member(X0,comb)
      | member(pair(comb_app(y,X0),X1),rtrancl(contract)) ),
    inference(resolution,[],[f37,f42]) ).

fof(f37,axiom,
    ! [X10,X11,X9,X12] :
      ( ~ member(pair(X11,X10),contract)
      | ~ member(X12,comb)
      | ~ member(pair(comb_app(X10,X12),X9),rtrancl(contract))
      | member(pair(comb_app(X11,X12),X9),rtrancl(contract)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reduction_rls_3) ).

fof(f82,plain,
    ! [X2,X3,X0,X1] :
      ( ~ member(pair(X1,X3),rtrancl(X2))
      | ~ member(pair(X0,X1),rtrancl(X2))
      | member(pair(X0,X3),rtrancl(X2)) ),
    inference(resolution,[],[f32,f33]) ).

fof(f33,axiom,
    ! [X7] : trans(rtrancl(X7)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trans_rtrancl) ).

fof(f32,axiom,
    ! [X8,X6,X9,X7] :
      ( ~ trans(X7)
      | ~ member(pair(X6,X8),X7)
      | member(pair(X6,X9),X7)
      | ~ member(pair(X8,X9),X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transD) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : COL088-1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.32  % Computer : n026.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Mon Aug 29 17:04:50 EDT 2022
% 0.11/0.33  % CPUTime    : 
% 0.17/0.47  % (31516)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.17/0.47  % (31508)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.17/0.48  % (31505)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.48  % (31504)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.49  % (31513)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 (2999ds/75Mi)
% 0.17/0.49  % (31512)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 (2999ds/68Mi)
% 0.17/0.49  % (31505)Instruction limit reached!
% 0.17/0.49  % (31505)------------------------------
% 0.17/0.49  % (31505)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.49  TRYING [1]
% 0.17/0.49  % (31520)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 (2999ds/498Mi)
% 0.17/0.50  % (31521)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 (2999ds/467Mi)
% 0.17/0.50  % (31505)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.50  % (31505)Termination reason: Unknown
% 0.17/0.50  % (31505)Termination phase: Saturation
% 0.17/0.50  
% 0.17/0.50  % (31505)Memory used [KB]: 5500
% 0.17/0.50  % (31505)Time elapsed: 0.107 s
% 0.17/0.50  % (31505)Instructions burned: 7 (million)
% 0.17/0.50  % (31505)------------------------------
% 0.17/0.50  % (31505)------------------------------
% 0.17/0.50  % (31524)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 (2999ds/68Mi)
% 0.17/0.50  TRYING [2]
% 0.17/0.51  TRYING [3]
% 0.17/0.51  % (31521)First to succeed.
% 0.17/0.52  % (31521)Refutation found. Thanks to Tanya!
% 0.17/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.17/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.52  % (31521)------------------------------
% 0.17/0.52  % (31521)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.52  % (31521)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.52  % (31521)Termination reason: Refutation
% 0.17/0.52  
% 0.17/0.52  % (31521)Memory used [KB]: 5500
% 0.17/0.52  % (31521)Time elapsed: 0.123 s
% 0.17/0.52  % (31521)Instructions burned: 9 (million)
% 0.17/0.52  % (31521)------------------------------
% 0.17/0.52  % (31521)------------------------------
% 0.17/0.52  % (31497)Success in time 0.184 s
%------------------------------------------------------------------------------