TSTP Solution File: COL123-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : COL123-1 : 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 : n006.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 15:52:57 EDT 2022

% Result   : Unsatisfiable 2.07s 0.79s
% Output   : Refutation 2.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   21 (   9 unt;   0 def)
%            Number of atoms       :   37 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   36 (  20   ~;  16   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-4 aty)
%            Number of variables   :   23 (  23   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1439,plain,
    $false,
    inference(subsumption_resolution,[],[f1438,f1369]) ).

fof(f1369,axiom,
    c_in(c_Pair(v_x,v_xb,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f1438,plain,
    ~ c_in(c_Pair(v_x,v_xb,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    inference(resolution,[],[f1435,f1371]) ).

fof(f1371,axiom,
    ! [X41] :
      ( c_in(c_Pair(v_y,v_xaa(X41),t_a,t_a),v_r,tc_prod(t_a,t_a))
      | ~ c_in(c_Pair(v_x,X41,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f1435,plain,
    ~ c_in(c_Pair(v_y,v_xaa(v_xb),t_a,t_a),v_r,tc_prod(t_a,t_a)),
    inference(resolution,[],[f1428,f1377]) ).

fof(f1377,plain,
    ! [X0] :
      ( c_in(c_Pair(v_z,v_xa(v_y,v_z,X0),t_a,t_a),v_r,tc_prod(t_a,t_a))
      | ~ c_in(c_Pair(v_y,X0,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(resolution,[],[f1373,f1368]) ).

fof(f1368,axiom,
    c_in(c_Pair(v_y,v_z,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f1373,axiom,
    ! [X41,X58,X59] :
      ( ~ c_in(c_Pair(X41,X58,t_a,t_a),v_r,tc_prod(t_a,t_a))
      | c_in(c_Pair(X58,v_xa(X41,X58,X59),t_a,t_a),v_r,tc_prod(t_a,t_a))
      | ~ c_in(c_Pair(X41,X59,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).

fof(f1428,plain,
    ~ c_in(c_Pair(v_z,v_xa(v_y,v_z,v_xaa(v_xb)),t_a,t_a),v_r,tc_prod(t_a,t_a)),
    inference(resolution,[],[f1425,f1372]) ).

fof(f1372,axiom,
    ! [X41] :
      ( ~ c_in(c_Pair(v_xb,X41,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
      | ~ c_in(c_Pair(v_z,X41,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).

fof(f1425,plain,
    c_in(c_Pair(v_xb,v_xa(v_y,v_z,v_xaa(v_xb)),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)),
    inference(resolution,[],[f1423,f1419]) ).

fof(f1419,plain,
    ! [X0] :
      ( ~ c_in(c_Pair(v_xaa(v_xb),X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
      | c_in(c_Pair(v_xb,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
    inference(resolution,[],[f1391,f317]) ).

fof(f317,axiom,
    ! [X2,X14,X43] :
      ( c_in(X43,c_Transitive__Closure_Ortrancl(X14,X2),tc_prod(X2,X2))
      | ~ c_in(X43,X14,tc_prod(X2,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Transitive__Closure_Or__into__rtrancl_0) ).

fof(f1391,plain,
    ! [X0] :
      ( ~ c_in(c_Pair(v_xaa(v_xb),X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))
      | c_in(c_Pair(v_xb,X0,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
    inference(resolution,[],[f1376,f1366]) ).

fof(f1366,axiom,
    ! [X2,X6,X14,X4,X34] :
      ( ~ c_in(c_Pair(X4,X6,X2,X2),c_Transitive__Closure_Ortrancl(X14,X2),tc_prod(X2,X2))
      | ~ c_in(c_Pair(X6,X34,X2,X2),c_Transitive__Closure_Ortrancl(X14,X2),tc_prod(X2,X2))
      | c_in(c_Pair(X4,X34,X2,X2),c_Transitive__Closure_Ortrancl(X14,X2),tc_prod(X2,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Transitive__Closure_Ortrancl__trans_0) ).

fof(f1376,plain,
    c_in(c_Pair(v_xb,v_xaa(v_xb),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)),
    inference(resolution,[],[f1370,f1369]) ).

fof(f1370,axiom,
    ! [X41] :
      ( ~ c_in(c_Pair(v_x,X41,t_a,t_a),v_r,tc_prod(t_a,t_a))
      | c_in(c_Pair(X41,v_xaa(X41),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f1423,plain,
    c_in(c_Pair(v_xaa(v_xb),v_xa(v_y,v_z,v_xaa(v_xb)),t_a,t_a),v_r,tc_prod(t_a,t_a)),
    inference(resolution,[],[f1408,f1368]) ).

fof(f1408,plain,
    ! [X0] :
      ( ~ c_in(c_Pair(v_y,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
      | c_in(c_Pair(v_xaa(v_xb),v_xa(v_y,X0,v_xaa(v_xb)),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(resolution,[],[f1381,f1369]) ).

fof(f1381,plain,
    ! [X2,X1] :
      ( ~ c_in(c_Pair(v_x,X2,t_a,t_a),v_r,tc_prod(t_a,t_a))
      | c_in(c_Pair(v_xaa(X2),v_xa(v_y,X1,v_xaa(X2)),t_a,t_a),v_r,tc_prod(t_a,t_a))
      | ~ c_in(c_Pair(v_y,X1,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(resolution,[],[f1374,f1371]) ).

fof(f1374,axiom,
    ! [X41,X58,X59] :
      ( ~ c_in(c_Pair(X41,X59,t_a,t_a),v_r,tc_prod(t_a,t_a))
      | ~ c_in(c_Pair(X41,X58,t_a,t_a),v_r,tc_prod(t_a,t_a))
      | c_in(c_Pair(X59,v_xa(X41,X58,X59),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : COL123-1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13  % 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 : n006.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   : Mon Aug 29 16:57:40 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.35  ipcrm: permission denied for id (706379779)
% 0.19/0.35  ipcrm: permission denied for id (706412549)
% 0.19/0.36  ipcrm: permission denied for id (706478089)
% 0.19/0.36  ipcrm: permission denied for id (706510858)
% 0.19/0.37  ipcrm: permission denied for id (706674707)
% 0.19/0.37  ipcrm: permission denied for id (706707476)
% 0.19/0.38  ipcrm: permission denied for id (706773015)
% 0.19/0.38  ipcrm: permission denied for id (706805789)
% 0.19/0.39  ipcrm: permission denied for id (706871331)
% 0.19/0.39  ipcrm: permission denied for id (706936869)
% 0.19/0.40  ipcrm: permission denied for id (706969639)
% 0.19/0.40  ipcrm: permission denied for id (707002410)
% 0.19/0.41  ipcrm: permission denied for id (707067950)
% 0.19/0.42  ipcrm: permission denied for id (707133498)
% 0.19/0.43  ipcrm: permission denied for id (707199037)
% 0.19/0.43  ipcrm: permission denied for id (707231807)
% 0.19/0.44  ipcrm: permission denied for id (707330122)
% 0.19/0.44  ipcrm: permission denied for id (707461196)
% 0.19/0.45  ipcrm: permission denied for id (707559504)
% 0.19/0.45  ipcrm: permission denied for id (707625042)
% 0.19/0.46  ipcrm: permission denied for id (707690587)
% 0.19/0.49  ipcrm: permission denied for id (707756140)
% 0.19/0.50  ipcrm: permission denied for id (707919994)
% 0.98/0.68  % (31120)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 (2997ds/48Mi)
% 0.98/0.69  % (31116)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/50Mi)
% 0.98/0.69  % (31129)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/99Mi)
% 0.98/0.69  % (31137)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/138Mi)
% 0.98/0.71  % (31139)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 (2997ds/467Mi)
% 0.98/0.71  % (31119)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/51Mi)
% 0.98/0.71  % (31131)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 (2997ds/75Mi)
% 0.98/0.71  % (31145)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 (2997ds/355Mi)
% 0.98/0.71  % (31117)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 (2997ds/37Mi)
% 0.98/0.71  % (31125)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 (2997ds/51Mi)
% 0.98/0.72  % (31121)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/51Mi)
% 0.98/0.72  % (31136)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 (2997ds/176Mi)
% 0.98/0.72  % (31122)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/7Mi)
% 0.98/0.72  % (31115)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 (2997ds/191324Mi)
% 0.98/0.72  % (31133)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/59Mi)
% 0.98/0.72  % (31134)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/100Mi)
% 0.98/0.72  % (31124)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/2Mi)
% 0.98/0.72  % (31142)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 (2997ds/68Mi)
% 0.98/0.72  % (31124)Instruction limit reached!
% 0.98/0.72  % (31124)------------------------------
% 0.98/0.72  % (31124)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.98/0.72  % (31124)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.98/0.72  % (31124)Termination reason: Unknown
% 0.98/0.72  % (31124)Termination phase: shuffling
% 0.98/0.72  
% 0.98/0.72  % (31124)Memory used [KB]: 1791
% 0.98/0.72  % (31124)Time elapsed: 0.004 s
% 0.98/0.72  % (31124)Instructions burned: 2 (million)
% 0.98/0.72  % (31124)------------------------------
% 0.98/0.72  % (31124)------------------------------
% 0.98/0.72  % (31144)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/439Mi)
% 0.98/0.73  % (31122)Instruction limit reached!
% 0.98/0.73  % (31122)------------------------------
% 0.98/0.73  % (31122)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.98/0.73  % (31122)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.98/0.73  % (31122)Termination reason: Unknown
% 0.98/0.73  % (31122)Termination phase: Saturation
% 0.98/0.73  
% 0.98/0.73  % (31122)Memory used [KB]: 6652
% 0.98/0.73  % (31122)Time elapsed: 0.010 s
% 0.98/0.73  % (31122)Instructions burned: 9 (million)
% 0.98/0.73  % (31122)------------------------------
% 0.98/0.73  % (31122)------------------------------
% 0.98/0.73  % (31118)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/51Mi)
% 0.98/0.73  % (31128)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/101Mi)
% 0.98/0.73  % (31130)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 (2997ds/68Mi)
% 0.98/0.73  % (31140)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/482Mi)
% 0.98/0.73  % (31138)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 (2997ds/498Mi)
% 0.98/0.73  % (31132)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 (2997ds/99Mi)
% 0.98/0.74  % (31127)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/100Mi)
% 0.98/0.74  % (31135)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 (2997ds/100Mi)
% 1.73/0.74  % (31141)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/500Mi)
% 1.73/0.75  % (31143)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 (2997ds/177Mi)
% 1.73/0.75  % (31126)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/50Mi)
% 1.73/0.77  % (31120)Instruction limit reached!
% 1.73/0.77  % (31120)------------------------------
% 1.73/0.77  % (31120)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.78  % (31120)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.78  % (31120)Termination reason: Unknown
% 1.73/0.78  % (31120)Termination phase: Saturation
% 1.73/0.78  
% 1.73/0.78  % (31120)Memory used [KB]: 7036
% 1.73/0.78  % (31120)Time elapsed: 0.182 s
% 1.73/0.78  % (31120)Instructions burned: 49 (million)
% 1.73/0.78  % (31120)------------------------------
% 1.73/0.78  % (31120)------------------------------
% 1.73/0.78  % (31117)Instruction limit reached!
% 1.73/0.78  % (31117)------------------------------
% 1.73/0.78  % (31117)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.79  % (31117)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.79  % (31117)Termination reason: Unknown
% 1.73/0.79  % (31117)Termination phase: Saturation
% 1.73/0.79  
% 1.73/0.79  % (31117)Memory used [KB]: 2558
% 1.73/0.79  % (31117)Time elapsed: 0.189 s
% 1.73/0.79  % (31117)Instructions burned: 37 (million)
% 1.73/0.79  % (31117)------------------------------
% 1.73/0.79  % (31117)------------------------------
% 2.07/0.79  % (31139)First to succeed.
% 2.07/0.79  % (31139)Refutation found. Thanks to Tanya!
% 2.07/0.79  % SZS status Unsatisfiable for theBenchmark
% 2.07/0.79  % SZS output start Proof for theBenchmark
% See solution above
% 2.07/0.79  % (31139)------------------------------
% 2.07/0.79  % (31139)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.79  % (31139)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.79  % (31139)Termination reason: Refutation
% 2.07/0.79  
% 2.07/0.79  % (31139)Memory used [KB]: 7036
% 2.07/0.79  % (31139)Time elapsed: 0.153 s
% 2.07/0.79  % (31139)Instructions burned: 38 (million)
% 2.07/0.79  % (31139)------------------------------
% 2.07/0.79  % (31139)------------------------------
% 2.07/0.79  % (30873)Success in time 0.446 s
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