TSTP Solution File: LCL798-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL798-1 : TPTP v8.1.0. Released v4.1.0.
% 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 : n003.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 17:50:01 EDT 2022

% Result   : Unsatisfiable 0.20s 0.55s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   13 (   7 unt;   0 def)
%            Number of atoms       :   24 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   24 (  13   ~;  10   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-4 aty)
%            Number of variables   :   16 (  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f273,plain,
    $false,
    inference(subsumption_resolution,[],[f272,f74]) ).

fof(f74,axiom,
    ~ c_InductTermi_OIT(c_Lambda_Osubst(v_a____,v_u____,v_i____)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f272,plain,
    c_InductTermi_OIT(c_Lambda_Osubst(v_a____,v_u____,v_i____)),
    inference(resolution,[],[f260,f127]) ).

fof(f127,plain,
    sP0(v_i____,v_e____),
    inference(resolution,[],[f81,f73]) ).

fof(f73,axiom,
    c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_03) ).

fof(f81,plain,
    ! [X28,X27,X14] :
      ( ~ c_Type_Otyping(c_Type_Oshift(X27,X14,v_T____,tc_Type_Otype),v_a____,X28)
      | sP0(X14,X27) ),
    inference(cnf_transformation,[],[f81_D]) ).

fof(f81_D,plain,
    ! [X27,X14] :
      ( ! [X28] : ~ c_Type_Otyping(c_Type_Oshift(X27,X14,v_T____,tc_Type_Otype),v_a____,X28)
    <=> ~ sP0(X14,X27) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).

fof(f260,plain,
    ! [X0] :
      ( ~ sP0(X0,v_e____)
      | c_InductTermi_OIT(c_Lambda_Osubst(v_a____,v_u____,X0)) ),
    inference(resolution,[],[f186,f71]) ).

fof(f71,axiom,
    c_Type_Otyping(v_e____,v_u____,v_T____),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).

fof(f186,plain,
    ! [X21,X22] :
      ( ~ c_Type_Otyping(X21,v_u____,v_T____)
      | ~ sP0(X22,X21)
      | c_InductTermi_OIT(c_Lambda_Osubst(v_a____,v_u____,X22)) ),
    inference(resolution,[],[f82,f67]) ).

fof(f67,axiom,
    c_InductTermi_OIT(v_u____),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_uIT_0) ).

fof(f82,plain,
    ! [X27,X14,X17] :
      ( ~ c_InductTermi_OIT(X17)
      | ~ c_Type_Otyping(X27,X17,v_T____)
      | ~ sP0(X14,X27)
      | c_InductTermi_OIT(c_Lambda_Osubst(v_a____,X17,X14)) ),
    inference(general_splitting,[],[f70,f81_D]) ).

fof(f70,axiom,
    ! [X28,X14,X27,X17] :
      ( c_InductTermi_OIT(c_Lambda_Osubst(v_a____,X17,X14))
      | ~ c_Type_Otyping(X27,X17,v_T____)
      | ~ c_Type_Otyping(c_Type_Oshift(X27,X14,v_T____,tc_Type_Otype),v_a____,X28)
      | ~ c_InductTermi_OIT(X17) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : LCL798-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n003.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 02:45:52 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.20/0.51  % (22864)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51  % (22871)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52  % (22884)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.52  % (22871)Instruction limit reached!
% 0.20/0.52  % (22871)------------------------------
% 0.20/0.52  % (22871)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (22871)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (22871)Termination reason: Unknown
% 0.20/0.52  % (22871)Termination phase: Blocked clause elimination
% 0.20/0.52  
% 0.20/0.52  % (22871)Memory used [KB]: 1023
% 0.20/0.52  % (22871)Time elapsed: 0.005 s
% 0.20/0.52  % (22871)Instructions burned: 3 (million)
% 0.20/0.52  % (22871)------------------------------
% 0.20/0.52  % (22871)------------------------------
% 0.20/0.52  % (22870)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53  % (22863)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.53  % (22885)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)
% 0.20/0.53  % (22867)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54  % (22866)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54  % (22876)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54  % (22874)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54  % (22877)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)
% 0.20/0.54  % (22883)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.54  % (22890)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.54  % (22873)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54  % (22868)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.54  % (22872)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54  % (22884)First to succeed.
% 0.20/0.55  % (22870)Instruction limit reached!
% 0.20/0.55  % (22870)------------------------------
% 0.20/0.55  % (22870)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (22870)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (22870)Termination reason: Unknown
% 0.20/0.55  % (22870)Termination phase: Saturation
% 0.20/0.55  
% 0.20/0.55  % (22870)Memory used [KB]: 5628
% 0.20/0.55  % (22870)Time elapsed: 0.087 s
% 0.20/0.55  % (22870)Instructions burned: 8 (million)
% 0.20/0.55  % (22870)------------------------------
% 0.20/0.55  % (22870)------------------------------
% 0.20/0.55  % (22888)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.55  % (22889)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)
% 0.20/0.55  % (22892)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.55  % (22884)Refutation found. Thanks to Tanya!
% 0.20/0.55  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55  % (22884)------------------------------
% 0.20/0.55  % (22884)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (22884)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (22884)Termination reason: Refutation
% 0.20/0.55  
% 0.20/0.55  % (22884)Memory used [KB]: 5756
% 0.20/0.55  % (22884)Time elapsed: 0.132 s
% 0.20/0.55  % (22884)Instructions burned: 16 (million)
% 0.20/0.55  % (22884)------------------------------
% 0.20/0.55  % (22884)------------------------------
% 0.20/0.55  % (22862)Success in time 0.191 s
%------------------------------------------------------------------------------