TSTP Solution File: LCL433-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL433-1 : 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 : 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 17:48:18 EDT 2022

% Result   : Unsatisfiable 1.98s 0.62s
% Output   : Refutation 1.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   15 (   7 unt;   0 def)
%            Number of atoms       :   26 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   23 (  12   ~;  11   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :   33 (  33   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1555,plain,
    $false,
    inference(subsumption_resolution,[],[f1549,f1377]) ).

fof(f1377,axiom,
    ~ c_in(v_xa,c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f1549,plain,
    c_in(v_xa,c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
    inference(resolution,[],[f1470,f1388]) ).

fof(f1388,plain,
    c_in(c_PropLog_Opl_Oop_A_N_62(v_x,v_xa,t_a),c_PropLog_Othms(v_F,t_a),tc_PropLog_Opl(t_a)),
    inference(resolution,[],[f1387,f1378]) ).

fof(f1378,axiom,
    ! [X47] :
      ( ~ c_PropLog_Osat(v_F,X47,t_a)
      | c_in(X47,c_PropLog_Othms(v_F,t_a),tc_PropLog_Opl(t_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f1387,plain,
    c_PropLog_Osat(v_F,c_PropLog_Opl_Oop_A_N_62(v_x,v_xa,t_a),t_a),
    inference(resolution,[],[f1370,f1376]) ).

fof(f1376,axiom,
    c_PropLog_Osat(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),v_xa,t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f1370,axiom,
    ! [X59,X1,X8,X7] :
      ( ~ c_PropLog_Osat(c_insert(X7,X8,tc_PropLog_Opl(X1)),X59,X1)
      | c_PropLog_Osat(X8,c_PropLog_Opl_Oop_A_N_62(X7,X59,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Osat__imp_0) ).

fof(f1470,plain,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,X1,X2),c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2))
      | c_in(X1,c_PropLog_Othms(c_insert(X0,X3,tc_PropLog_Opl(X2)),X2),tc_PropLog_Opl(X2)) ),
    inference(resolution,[],[f1433,f186]) ).

fof(f186,axiom,
    ! [X21,X1,X9] : c_in(X9,c_insert(X9,X21,X1),X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).

fof(f1433,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ c_in(X0,c_insert(X4,X3,tc_PropLog_Opl(X2)),tc_PropLog_Opl(X2))
      | ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,X1,X2),c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2))
      | c_in(X1,c_PropLog_Othms(c_insert(X4,X3,tc_PropLog_Opl(X2)),X2),tc_PropLog_Opl(X2)) ),
    inference(resolution,[],[f1414,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(f1414,plain,
    ! [X10,X11,X8,X9,X12] :
      ( ~ c_in(X12,c_PropLog_Othms(c_insert(X9,X10,tc_PropLog_Opl(X11)),X11),tc_PropLog_Opl(X11))
      | ~ c_in(c_PropLog_Opl_Oop_A_N_62(X12,X8,X11),c_PropLog_Othms(X10,X11),tc_PropLog_Opl(X11))
      | c_in(X8,c_PropLog_Othms(c_insert(X9,X10,tc_PropLog_Opl(X11)),X11),tc_PropLog_Opl(X11)) ),
    inference(resolution,[],[f1371,f1373]) ).

fof(f1373,axiom,
    ! [X1,X7,X4,X23] :
      ( c_in(X7,c_PropLog_Othms(c_insert(X4,X23,tc_PropLog_Opl(X1)),X1),tc_PropLog_Opl(X1))
      | ~ c_in(X7,c_PropLog_Othms(X23,X1),tc_PropLog_Opl(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Oweaken__left__insert_0) ).

fof(f1371,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))
      | ~ c_in(X7,c_PropLog_Othms(X8,X1),tc_PropLog_Opl(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Othms_OMP_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : LCL433-1 : TPTP v8.1.0. Released v3.2.0.
% 0.00/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.09/0.30  % Computer : n012.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 300
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Tue Aug 30 01:59:36 EDT 2022
% 0.09/0.30  % CPUTime    : 
% 0.14/0.48  % (13857)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.14/0.48  % (13862)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)
% 0.14/0.48  % (13861)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)
% 0.14/0.48  % (13854)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.49  % (13873)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)
% 0.14/0.49  % (13853)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)
% 0.14/0.49  % (13870)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)
% 0.14/0.49  % (13869)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)
% 0.14/0.51  % (13854)Instruction limit reached!
% 0.14/0.51  % (13854)------------------------------
% 0.14/0.51  % (13854)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.51  % (13854)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.51  % (13854)Termination reason: Unknown
% 0.14/0.51  % (13854)Termination phase: Saturation
% 0.14/0.51  
% 0.14/0.51  % (13854)Memory used [KB]: 6652
% 0.14/0.51  % (13854)Time elapsed: 0.007 s
% 0.14/0.51  % (13854)Instructions burned: 7 (million)
% 0.14/0.51  % (13854)------------------------------
% 0.14/0.51  % (13854)------------------------------
% 0.14/0.51  % (13865)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.14/0.52  % (13851)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.14/0.52  % (13848)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)
% 0.14/0.53  % (13875)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.14/0.54  % (13850)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)
% 0.14/0.54  % (13860)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.14/0.54  % (13852)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)
% 0.14/0.54  % (13866)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)
% 0.14/0.54  % (13855)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.55  % (13855)Instruction limit reached!
% 0.14/0.55  % (13855)------------------------------
% 0.14/0.55  % (13855)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.55  % (13855)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.55  % (13855)Termination reason: Unknown
% 0.14/0.55  % (13855)Termination phase: shuffling
% 0.14/0.55  
% 0.14/0.55  % (13855)Memory used [KB]: 1791
% 0.14/0.55  % (13855)Time elapsed: 0.003 s
% 0.14/0.55  % (13855)Instructions burned: 2 (million)
% 0.14/0.55  % (13855)------------------------------
% 0.14/0.55  % (13855)------------------------------
% 0.14/0.55  % (13876)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)
% 0.14/0.55  % (13859)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.14/0.55  % (13858)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)
% 0.14/0.55  % (13863)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)
% 0.14/0.56  % (13868)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.14/0.56  % (13867)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)
% 0.14/0.56  % (13874)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)
% 0.14/0.56  % (13871)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.14/0.58  % (13853)Instruction limit reached!
% 0.14/0.58  % (13853)------------------------------
% 0.14/0.58  % (13853)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.58  % (13853)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.58  % (13853)Termination reason: Unknown
% 0.14/0.58  % (13853)Termination phase: Finite model building preprocessing
% 0.14/0.58  
% 0.14/0.58  % (13853)Memory used [KB]: 2942
% 0.14/0.58  % (13853)Time elapsed: 0.034 s
% 0.14/0.58  % (13853)Instructions burned: 52 (million)
% 0.14/0.58  % (13853)------------------------------
% 0.14/0.58  % (13853)------------------------------
% 1.98/0.60  % (13857)Instruction limit reached!
% 1.98/0.60  % (13857)------------------------------
% 1.98/0.60  % (13857)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.98/0.60  % (13857)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.98/0.60  % (13857)Termination reason: Unknown
% 1.98/0.60  % (13857)Termination phase: Saturation
% 1.98/0.60  
% 1.98/0.60  % (13857)Memory used [KB]: 7419
% 1.98/0.60  % (13857)Time elapsed: 0.197 s
% 1.98/0.60  % (13857)Instructions burned: 51 (million)
% 1.98/0.60  % (13857)------------------------------
% 1.98/0.60  % (13857)------------------------------
% 1.98/0.60  % (13864)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.98/0.61  % (13861)Instruction limit reached!
% 1.98/0.61  % (13861)------------------------------
% 1.98/0.61  % (13861)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.98/0.61  % (13861)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.98/0.61  % (13861)Termination reason: Unknown
% 1.98/0.61  % (13861)Termination phase: Saturation
% 1.98/0.61  
% 1.98/0.61  % (13861)Memory used [KB]: 8187
% 1.98/0.61  % (13861)Time elapsed: 0.058 s
% 1.98/0.61  % (13861)Instructions burned: 68 (million)
% 1.98/0.61  % (13861)------------------------------
% 1.98/0.61  % (13861)------------------------------
% 1.98/0.61  % (13870)First to succeed.
% 1.98/0.61  % (13856)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)
% 1.98/0.62  % (13870)Refutation found. Thanks to Tanya!
% 1.98/0.62  % SZS status Unsatisfiable for theBenchmark
% 1.98/0.62  % SZS output start Proof for theBenchmark
% See solution above
% 1.98/0.62  % (13870)------------------------------
% 1.98/0.62  % (13870)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.98/0.62  % (13870)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.98/0.62  % (13870)Termination reason: Refutation
% 1.98/0.62  
% 1.98/0.62  % (13870)Memory used [KB]: 7164
% 1.98/0.62  % (13870)Time elapsed: 0.228 s
% 1.98/0.62  % (13870)Instructions burned: 55 (million)
% 1.98/0.62  % (13870)------------------------------
% 1.98/0.62  % (13870)------------------------------
% 1.98/0.62  % (13845)Success in time 0.305 s
%------------------------------------------------------------------------------