TSTP Solution File: SYN583-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN583-1 : TPTP v8.1.0. Released v2.5.0.
% 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 19:27:48 EDT 2022

% Result   : Unsatisfiable 0.18s 0.51s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   17 (   6 unt;   0 def)
%            Number of atoms       :   38 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   47 (  26   ~;  20   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   31 (  31   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f79,plain,
    $false,
    inference(unit_resulting_resolution,[],[f4,f3,f7,f56]) ).

fof(f56,plain,
    ! [X2,X3] :
      ( ~ p5(X2,c15)
      | ~ p11(f4(f6(X2,X3)),c16)
      | ~ p2(X3,c18) ),
    inference(resolution,[],[f53,f23]) ).

fof(f23,axiom,
    ! [X31,X28,X29,X30] :
      ( p2(f6(X28,X29),f6(X30,X31))
      | ~ p5(X28,X30)
      | ~ p2(X29,X31) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_23) ).

fof(f53,plain,
    ! [X2] :
      ( ~ p2(X2,f6(c15,c18))
      | ~ p11(f4(X2),c16) ),
    inference(resolution,[],[f49,f14]) ).

fof(f14,axiom,
    ! [X10,X9] :
      ( p2(f4(X9),f4(X10))
      | ~ p2(X9,X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_14) ).

fof(f49,plain,
    ! [X0] :
      ( ~ p2(X0,f4(f6(c15,c18)))
      | ~ p11(X0,c16) ),
    inference(resolution,[],[f43,f2]) ).

fof(f2,axiom,
    ! [X1] : p2(X1,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_2) ).

fof(f43,plain,
    ! [X0,X1] :
      ( ~ p2(X0,c16)
      | ~ p11(X1,X0)
      | ~ p2(X1,f4(f6(c15,c18))) ),
    inference(resolution,[],[f38,f9]) ).

fof(f9,axiom,
    ~ p11(f4(f6(c15,c18)),c16),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p11_9) ).

fof(f38,plain,
    ! [X2,X3,X0,X1] :
      ( p11(X1,X3)
      | ~ p2(X2,X3)
      | ~ p11(X0,X2)
      | ~ p2(X0,X1) ),
    inference(resolution,[],[f29,f28]) ).

fof(f28,plain,
    ! [X21,X23,X20] :
      ( sP1(X20,X23)
      | p11(X20,X21)
      | ~ p2(X23,X21) ),
    inference(cnf_transformation,[],[f28_D]) ).

fof(f28_D,plain,
    ! [X23,X20] :
      ( ! [X21] :
          ( p11(X20,X21)
          | ~ p2(X23,X21) )
    <=> ~ sP1(X20,X23) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).

fof(f29,plain,
    ! [X22,X23,X20] :
      ( ~ sP1(X20,X23)
      | ~ p2(X22,X20)
      | ~ p11(X22,X23) ),
    inference(general_splitting,[],[f21,f28_D]) ).

fof(f21,axiom,
    ! [X21,X22,X23,X20] :
      ( p11(X20,X21)
      | ~ p2(X22,X20)
      | ~ p11(X22,X23)
      | ~ p2(X23,X21) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_21) ).

fof(f7,axiom,
    p11(f4(f6(c15,c13)),c16),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_7) ).

fof(f3,axiom,
    ! [X2] : p5(X2,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_3) ).

fof(f4,axiom,
    p2(c13,c18),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SYN583-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n027.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 22:24:01 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.49  % (9376)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)
% 0.18/0.49  % (9349)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)
% 0.18/0.49  % (9362)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)
% 0.18/0.50  % (9354)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)
% 0.18/0.50  % (9361)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.50  % (9360)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)
% 0.18/0.50  % (9361)Instruction limit reached!
% 0.18/0.50  % (9361)------------------------------
% 0.18/0.50  % (9361)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (9361)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (9361)Termination reason: Unknown
% 0.18/0.50  % (9361)Termination phase: Saturation
% 0.18/0.50  
% 0.18/0.50  % (9361)Memory used [KB]: 5884
% 0.18/0.50  % (9361)Time elapsed: 0.108 s
% 0.18/0.50  % (9361)Instructions burned: 4 (million)
% 0.18/0.50  % (9361)------------------------------
% 0.18/0.50  % (9361)------------------------------
% 0.18/0.50  % (9362)First to succeed.
% 0.18/0.50  % (9355)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)
% 0.18/0.50  % (9359)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)
% 0.18/0.51  % (9362)Refutation found. Thanks to Tanya!
% 0.18/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.51  % (9362)------------------------------
% 0.18/0.51  % (9362)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (9362)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (9362)Termination reason: Refutation
% 0.18/0.51  
% 0.18/0.51  % (9362)Memory used [KB]: 1407
% 0.18/0.51  % (9362)Time elapsed: 0.076 s
% 0.18/0.51  % (9362)Instructions burned: 7 (million)
% 0.18/0.51  % (9362)------------------------------
% 0.18/0.51  % (9362)------------------------------
% 0.18/0.51  % (9347)Success in time 0.167 s
%------------------------------------------------------------------------------