TSTP Solution File: LAT273-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : LAT273-1 : 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_uns --cores 0 -t %d %s

% Computer : n010.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 17:33:05 EDT 2022

% Result   : Unsatisfiable 1.52s 0.65s
% Output   : Refutation 1.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   11 (   8 unt;   0 def)
%            Number of atoms       :   19 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   17 (   9   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-4 aty)
%            Number of functors    :   13 (  13 usr;   8 con; 0-4 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2824,plain,
    $false,
    inference(subsumption_resolution,[],[f2818,f2797]) ).

fof(f2797,plain,
    ~ c_in(c_Pair(v_sko__4mi(v_S,v_r,v_b),v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    inference(unit_resulting_resolution,[],[f2756,f2753,f2758,f11]) ).

fof(f11,axiom,
    ! [X3,X0,X9] :
      ( ~ c_in(c_Pair(v_sko__4mi(X0,v_r,X9),X9,t_a,t_a),v_r,tc_prod(t_a,t_a))
      | ~ c_Tarski_OisLub(X0,v_cl,X3,t_a)
      | ~ c_in(X9,v_A,t_a)
      | c_in(c_Pair(X3,X9,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Az1_A_58_AA_59_AALL_Ay_58S1_O_A_Iy_M_Az1_J_A_58_Ar_A_124_93_A_61_61_62_A_IL1_M_Az1_J_A_58_Ar_A_61_61_ATrue_1) ).

fof(f2758,axiom,
    ~ c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).

fof(f2753,axiom,
    c_in(v_b,v_A,t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f2756,axiom,
    c_Tarski_OisLub(v_S,v_cl,v_L,t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f2818,plain,
    c_in(c_Pair(v_sko__4mi(v_S,v_r,v_b),v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    inference(unit_resulting_resolution,[],[f2754,f2798,f6]) ).

fof(f6,axiom,
    ! [X2,X0,X6,X7,X4,X5] :
      ( ~ c_lessequals(X0,c_Tarski_Ointerval(X6,X2,X7,X5),tc_set(X5))
      | c_in(c_Pair(X4,X7,X5,X5),X6,tc_prod(X5,X5))
      | ~ c_in(X4,X0,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ix1_M_Ab1_J_A_58_Ar_A_61_61_ATrue_0) ).

fof(f2798,plain,
    c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a),
    inference(unit_resulting_resolution,[],[f2753,f2756,f2758,f10]) ).

fof(f10,axiom,
    ! [X3,X0,X9] :
      ( ~ c_Tarski_OisLub(X0,v_cl,X3,t_a)
      | c_in(v_sko__4mi(X0,v_r,X9),X0,t_a)
      | c_in(c_Pair(X3,X9,t_a,t_a),v_r,tc_prod(t_a,t_a))
      | ~ c_in(X9,v_A,t_a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Az1_A_58_AA_59_AALL_Ay_58S1_O_A_Iy_M_Az1_J_A_58_Ar_A_124_93_A_61_61_62_A_IL1_M_Az1_J_A_58_Ar_A_61_61_ATrue_0) ).

fof(f2754,axiom,
    c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : LAT273-1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12  % 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 : n010.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 00:51:14 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.58  % (5779)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.18/0.58  % (5779)Instruction limit reached!
% 1.18/0.58  % (5779)------------------------------
% 1.18/0.58  % (5779)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.18/0.58  % (5793)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 1.18/0.58  % (5785)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)
% 1.18/0.59  % (5794)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.18/0.59  % (5779)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.18/0.59  % (5779)Termination reason: Unknown
% 1.18/0.59  % (5779)Termination phase: shuffling
% 1.18/0.59  
% 1.18/0.59  % (5779)Memory used [KB]: 3454
% 1.18/0.59  % (5786)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.18/0.59  % (5779)Time elapsed: 0.005 s
% 1.18/0.59  % (5779)Instructions burned: 3 (million)
% 1.18/0.59  % (5779)------------------------------
% 1.18/0.59  % (5779)------------------------------
% 1.18/0.59  % (5777)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)
% 1.33/0.60  % (5772)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)
% 1.33/0.60  % (5786)Instruction limit reached!
% 1.33/0.60  % (5786)------------------------------
% 1.33/0.60  % (5786)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.60  % (5786)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.60  % (5786)Termination reason: Unknown
% 1.33/0.60  % (5786)Termination phase: Function definition elimination
% 1.33/0.60  
% 1.33/0.60  % (5786)Memory used [KB]: 3709
% 1.33/0.60  % (5786)Time elapsed: 0.007 s
% 1.33/0.60  % (5786)Instructions burned: 6 (million)
% 1.33/0.60  % (5786)------------------------------
% 1.33/0.60  % (5786)------------------------------
% 1.33/0.60  % (5798)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 1.33/0.61  % (5782)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)
% 1.33/0.61  % (5771)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.33/0.61  % (5775)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 1.33/0.62  % (5776)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.33/0.62  % (5783)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)
% 1.33/0.62  % (5773)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 1.33/0.62  % (5774)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 1.33/0.62  % (5773)Instruction limit reached!
% 1.33/0.62  % (5773)------------------------------
% 1.33/0.62  % (5773)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.62  % (5773)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.62  % (5773)Termination reason: Unknown
% 1.33/0.62  % (5773)Termination phase: Unused predicate definition removal
% 1.33/0.62  
% 1.33/0.62  % (5773)Memory used [KB]: 3582
% 1.33/0.62  % (5773)Time elapsed: 0.005 s
% 1.33/0.62  % (5773)Instructions burned: 4 (million)
% 1.33/0.62  % (5773)------------------------------
% 1.33/0.62  % (5773)------------------------------
% 1.33/0.62  % (5780)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.33/0.62  % (5800)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.52/0.63  % (5797)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 1.52/0.63  % (5791)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.52/0.63  % (5785)Instruction limit reached!
% 1.52/0.63  % (5785)------------------------------
% 1.52/0.63  % (5785)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.63  % (5785)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.63  % (5785)Termination reason: Unknown
% 1.52/0.63  % (5785)Termination phase: Property scanning
% 1.52/0.63  
% 1.52/0.63  % (5785)Memory used [KB]: 3582
% 1.52/0.63  % (5785)Time elapsed: 0.018 s
% 1.52/0.63  % (5785)Instructions burned: 30 (million)
% 1.52/0.63  % (5785)------------------------------
% 1.52/0.63  % (5785)------------------------------
% 1.52/0.63  % (5778)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)
% 1.52/0.63  % (5799)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)
% 1.52/0.63  % (5789)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 1.52/0.63  % (5792)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 1.52/0.63  % (5796)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 1.52/0.63  % (5790)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.52/0.63  % (5798)Refutation not found, incomplete strategy% (5798)------------------------------
% 1.52/0.63  % (5798)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.63  % (5798)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.63  % (5798)Termination reason: Refutation not found, incomplete strategy
% 1.52/0.63  
% 1.52/0.63  % (5798)Memory used [KB]: 3709
% 1.52/0.63  % (5798)Time elapsed: 0.127 s
% 1.52/0.63  % (5798)Instructions burned: 11 (million)
% 1.52/0.63  % (5798)------------------------------
% 1.52/0.63  % (5798)------------------------------
% 1.52/0.64  % (5794)Instruction limit reached!
% 1.52/0.64  % (5794)------------------------------
% 1.52/0.64  % (5794)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.64  % (5794)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.64  % (5794)Termination reason: Unknown
% 1.52/0.64  % (5794)Termination phase: Property scanning
% 1.52/0.64  
% 1.52/0.64  % (5794)Memory used [KB]: 4221
% 1.52/0.64  % (5794)Time elapsed: 0.040 s
% 1.52/0.64  % (5794)Instructions burned: 37 (million)
% 1.52/0.64  % (5794)------------------------------
% 1.52/0.64  % (5794)------------------------------
% 1.52/0.64  % (5783)Instruction limit reached!
% 1.52/0.64  % (5783)------------------------------
% 1.52/0.64  % (5783)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.64  % (5783)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.64  % (5783)Termination reason: Unknown
% 1.52/0.64  % (5783)Termination phase: Unused predicate definition removal
% 1.52/0.64  
% 1.52/0.64  % (5783)Memory used [KB]: 3709
% 1.52/0.64  % (5783)Time elapsed: 0.006 s
% 1.52/0.64  % (5783)Instructions burned: 5 (million)
% 1.52/0.64  % (5783)------------------------------
% 1.52/0.64  % (5783)------------------------------
% 1.52/0.64  % (5784)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)
% 1.52/0.64  % (5781)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.52/0.64  % (5784)Instruction limit reached!
% 1.52/0.64  % (5784)------------------------------
% 1.52/0.64  % (5784)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.64  % (5784)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.64  % (5784)Termination reason: Unknown
% 1.52/0.64  % (5784)Termination phase: SInE selection
% 1.52/0.64  
% 1.52/0.64  % (5784)Memory used [KB]: 3454
% 1.52/0.64  % (5784)Time elapsed: 0.004 s
% 1.52/0.64  % (5784)Instructions burned: 3 (million)
% 1.52/0.64  % (5784)------------------------------
% 1.52/0.64  % (5784)------------------------------
% 1.52/0.64  % (5787)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.52/0.64  % (5787)Instruction limit reached!
% 1.52/0.64  % (5787)------------------------------
% 1.52/0.64  % (5787)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.64  % (5787)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.64  % (5787)Termination reason: Unknown
% 1.52/0.64  % (5787)Termination phase: shuffling
% 1.52/0.64  
% 1.52/0.64  % (5787)Memory used [KB]: 3454
% 1.52/0.64  % (5787)Time elapsed: 0.002 s
% 1.52/0.64  % (5787)Instructions burned: 2 (million)
% 1.52/0.64  % (5787)------------------------------
% 1.52/0.64  % (5787)------------------------------
% 1.52/0.64  % (5795)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 1.52/0.64  % (5775)First to succeed.
% 1.52/0.65  % (5775)Refutation found. Thanks to Tanya!
% 1.52/0.65  % SZS status Unsatisfiable for theBenchmark
% 1.52/0.65  % SZS output start Proof for theBenchmark
% See solution above
% 1.52/0.65  % (5775)------------------------------
% 1.52/0.65  % (5775)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.65  % (5775)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.65  % (5775)Termination reason: Refutation
% 1.52/0.65  
% 1.52/0.65  % (5775)Memory used [KB]: 8187
% 1.52/0.65  % (5775)Time elapsed: 0.149 s
% 1.52/0.65  % (5775)Instructions burned: 13 (million)
% 1.52/0.65  % (5775)------------------------------
% 1.52/0.65  % (5775)------------------------------
% 1.52/0.65  % (5770)Success in time 0.297 s
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