TSTP Solution File: LCL434-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL434-1 : TPTP v8.1.0. Released v3.2.0.
% 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 : n018.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 17:48:18 EDT 2022

% Result   : Unsatisfiable 1.53s 0.60s
% Output   : Refutation 1.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   20 (   8 unt;   0 def)
%            Number of atoms       :   33 (   4 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   27 (  14   ~;  11   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1409,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1396,f1401,f1408]) ).

fof(f1408,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f1407]) ).

fof(f1407,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f1406,f1391]) ).

fof(f1391,plain,
    ( c_in(v_pa,v_H,tc_PropLog_Opl(t_a))
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f1389]) ).

fof(f1389,plain,
    ( spl0_1
  <=> c_in(v_pa,v_H,tc_PropLog_Opl(t_a)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f1406,plain,
    ~ c_in(v_pa,v_H,tc_PropLog_Opl(t_a)),
    inference(resolution,[],[f1405,f10]) ).

fof(f10,axiom,
    ! [X1,X8,X7] :
      ( c_in(X7,c_PropLog_Othms(X8,X1),tc_PropLog_Opl(X1))
      | ~ c_in(X7,X8,tc_PropLog_Opl(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Othms_OH_0) ).

fof(f1405,plain,
    ~ c_in(v_pa,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
    inference(resolution,[],[f1373,f1375]) ).

fof(f1375,axiom,
    ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_pa,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f1373,axiom,
    ! [X59,X1,X8,X7] :
      ( c_in(c_PropLog_Opl_Oop_A_N_62(X7,X59,X1),c_PropLog_Othms(X8,X1),tc_PropLog_Opl(X1))
      | ~ c_in(X59,c_PropLog_Othms(X8,X1),tc_PropLog_Opl(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Oweaken__right_0) ).

fof(f1401,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f1400]) ).

fof(f1400,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f1399,f1372]) ).

fof(f1372,axiom,
    ! [X1,X8,X7] : c_in(c_PropLog_Opl_Oop_A_N_62(X7,X7,X1),c_PropLog_Othms(X8,X1),tc_PropLog_Opl(X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Othms__I_0) ).

fof(f1399,plain,
    ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_pa,v_pa,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))
    | ~ spl0_2 ),
    inference(backward_demodulation,[],[f1375,f1395]) ).

fof(f1395,plain,
    ( v_pa = v_p
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f1393]) ).

fof(f1393,plain,
    ( spl0_2
  <=> v_pa = v_p ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f1396,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f1384,f1393,f1389]) ).

fof(f1384,plain,
    ( v_pa = v_p
    | c_in(v_pa,v_H,tc_PropLog_Opl(t_a)) ),
    inference(resolution,[],[f187,f1374]) ).

fof(f1374,axiom,
    c_in(v_pa,c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f187,axiom,
    ! [X1,X19,X4,X12] :
      ( ~ c_in(X4,c_insert(X12,X19,X1),X1)
      | c_in(X4,X19,X1)
      | X4 = X12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertE_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : LCL434-1 : TPTP v8.1.0. Released v3.2.0.
% 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
% 0.12/0.33  % Computer : n018.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 02:04:55 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.49  % (22507)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.49  % (22484)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)
% 0.19/0.50  % (22481)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)
% 0.19/0.50  % (22493)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)
% 0.19/0.52  % (22488)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)
% 0.19/0.52  % (22485)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (22487)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)
% 0.19/0.52  % (22499)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.52  % (22511)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.53  % (22498)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53  % (22495)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53  % (22506)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)
% 0.19/0.53  % (22497)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)
% 0.19/0.53  % (22483)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.54  % (22500)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54  % (22508)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.54  % (22504)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)
% 0.19/0.54  % (22489)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.54  % (22510)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)
% 0.19/0.54  % (22490)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.55  % (22490)Instruction limit reached!
% 0.19/0.55  % (22490)------------------------------
% 0.19/0.55  % (22490)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (22490)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (22490)Termination reason: Unknown
% 0.19/0.55  % (22490)Termination phase: shuffling
% 0.19/0.55  
% 0.19/0.55  % (22490)Memory used [KB]: 1791
% 0.19/0.55  % (22490)Time elapsed: 0.003 s
% 0.19/0.55  % (22490)Instructions burned: 2 (million)
% 0.19/0.55  % (22490)------------------------------
% 0.19/0.55  % (22490)------------------------------
% 0.19/0.55  % (22494)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.55  % (22482)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)
% 0.19/0.55  % (22502)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)
% 0.19/0.55  % (22496)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)
% 0.19/0.55  % (22489)Instruction limit reached!
% 0.19/0.55  % (22489)------------------------------
% 0.19/0.55  % (22489)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (22489)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (22489)Termination reason: Unknown
% 0.19/0.55  % (22489)Termination phase: Saturation
% 0.19/0.55  
% 0.19/0.55  % (22489)Memory used [KB]: 6652
% 0.19/0.55  % (22489)Time elapsed: 0.007 s
% 0.19/0.55  % (22489)Instructions burned: 7 (million)
% 0.19/0.55  % (22489)------------------------------
% 0.19/0.55  % (22489)------------------------------
% 0.19/0.55  % (22492)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.55  % (22509)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)
% 1.45/0.55  % (22491)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)
% 1.45/0.56  % (22512)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)
% 1.53/0.57  % (22503)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.53/0.57  % (22484)Instruction limit reached!
% 1.53/0.57  % (22484)------------------------------
% 1.53/0.57  % (22484)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.58  % (22501)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.53/0.58  % (22484)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.58  % (22484)Termination reason: Unknown
% 1.53/0.58  % (22484)Termination phase: Saturation
% 1.53/0.58  
% 1.53/0.58  % (22484)Memory used [KB]: 7291
% 1.53/0.58  % (22484)Time elapsed: 0.152 s
% 1.53/0.58  % (22484)Instructions burned: 51 (million)
% 1.53/0.58  % (22484)------------------------------
% 1.53/0.58  % (22484)------------------------------
% 1.53/0.59  % (22506)First to succeed.
% 1.53/0.60  % (22487)Instruction limit reached!
% 1.53/0.60  % (22487)------------------------------
% 1.53/0.60  % (22487)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.60  % (22488)Instruction limit reached!
% 1.53/0.60  % (22488)------------------------------
% 1.53/0.60  % (22488)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.60  % (22488)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.60  % (22488)Termination reason: Unknown
% 1.53/0.60  % (22488)Termination phase: Finite model building preprocessing
% 1.53/0.60  
% 1.53/0.60  % (22488)Memory used [KB]: 3070
% 1.53/0.60  % (22488)Time elapsed: 0.027 s
% 1.53/0.60  % (22488)Instructions burned: 52 (million)
% 1.53/0.60  % (22488)------------------------------
% 1.53/0.60  % (22488)------------------------------
% 1.53/0.60  % (22506)Refutation found. Thanks to Tanya!
% 1.53/0.60  % SZS status Unsatisfiable for theBenchmark
% 1.53/0.60  % SZS output start Proof for theBenchmark
% See solution above
% 1.53/0.60  % (22506)------------------------------
% 1.53/0.60  % (22506)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.60  % (22506)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.60  % (22506)Termination reason: Refutation
% 1.53/0.60  
% 1.53/0.60  % (22506)Memory used [KB]: 6908
% 1.53/0.60  % (22506)Time elapsed: 0.146 s
% 1.53/0.60  % (22506)Instructions burned: 29 (million)
% 1.53/0.60  % (22506)------------------------------
% 1.53/0.60  % (22506)------------------------------
% 1.53/0.60  % (22470)Success in time 0.263 s
%------------------------------------------------------------------------------