TSTP Solution File: COL001-2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : COL001-2 : TPTP v8.1.0. Released v1.0.0.
% 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 : 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 15:51:30 EDT 2022

% Result   : Unsatisfiable 0.18s 0.57s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    7 (   7 unt;   0 def)
%            Number of atoms       :    7 (   6 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    1 (   1   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f368,plain,
    $false,
    inference(unit_resulting_resolution,[],[f6,f116]) ).

fof(f116,plain,
    ! [X6,X7] : apply(apply(apply(s,apply(b,X6)),i),X7) = apply(X6,apply(X7,X7)),
    inference(superposition,[],[f13,f3]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_definition) ).

fof(f13,plain,
    ! [X0,X1] : apply(apply(X1,X0),X0) = apply(apply(apply(s,X1),i),X0),
    inference(superposition,[],[f1,f4]) ).

fof(f4,axiom,
    ! [X0] : apply(i,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_definition) ).

fof(f1,axiom,
    ! [X2,X0,X1] : apply(apply(apply(s,X0),X1),X2) = apply(apply(X0,X2),apply(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s_definition) ).

fof(f6,axiom,
    ! [X1] : apply(combinator,X1) != X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_fixed_point) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : COL001-2 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12  % 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 : n012.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 16:31:36 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.49  % (23783)dis+21_1:8_aac=none:bs=unit_only:er=filter:fd=off:nwc=5.0:s2pl=no:i=111:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/111Mi)
% 0.18/0.49  % (23774)dis+10_1:7_drc=off:fd=preordered:plsq=on:sp=reverse_frequency:to=lpo:i=212:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/212Mi)
% 0.18/0.49  % (23764)lrs+10_1:1_avsq=on:avsql=on:bsr=unit_only:drc=off:fsr=off:inw=on:nwc=10.0:rnwc=on:sgt=16:slsq=on:slsqc=0:slsql=off:slsqr=211,119:sp=reverse_frequency:spb=goal_then_units:ss=included:st=2.0:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.49  % (23777)lrs+1011_1:1_asg=cautious:bsr=on:cond=on:drc=off:etr=on:fd=preordered:gs=on:plsq=on:plsqr=388,511:slsq=on:slsqc=1:slsqr=21,31:urr=on:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.49  % (23764)Instruction limit reached!
% 0.18/0.49  % (23764)------------------------------
% 0.18/0.49  % (23764)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49  % (23764)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49  % (23764)Termination reason: Unknown
% 0.18/0.49  % (23764)Termination phase: Saturation
% 0.18/0.49  
% 0.18/0.49  % (23764)Memory used [KB]: 5628
% 0.18/0.49  % (23764)Time elapsed: 0.108 s
% 0.18/0.49  % (23764)Instructions burned: 7 (million)
% 0.18/0.49  % (23764)------------------------------
% 0.18/0.49  % (23764)------------------------------
% 0.18/0.49  % (23767)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.18/0.50  % (23763)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.18/0.50  % (23760)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=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.50  % (23762)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.18/0.50  % (23780)dis+11_1:64_fd=off:nm=0:nwc=5.0:i=481:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/481Mi)
% 0.18/0.50  % (23784)dis+10_1:1_av=off:drc=off:slsq=on:slsqc=1:slsqr=29,16:sp=reverse_frequency:to=lpo:i=248:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/248Mi)
% 0.18/0.50  % (23758)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.18/0.50  % (23761)lrs+10_1:1_amm=off:drc=off:sp=reverse_frequency:spb=goal_then_units:to=lpo:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.18/0.50  % (23759)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=10:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/10Mi)
% 0.18/0.50  % (23771)dis+2_1:1024_abs=on:alpa=false:anc=all_dependent:avsq=on:bce=on:drc=off:newcnf=on:slsq=on:slsqc=0:slsqr=1,1:sp=reverse_arity:i=353:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/353Mi)
% 0.18/0.50  % (23761)Instruction limit reached!
% 0.18/0.50  % (23761)------------------------------
% 0.18/0.50  % (23761)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (23761)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (23761)Termination reason: Unknown
% 0.18/0.50  % (23761)Termination phase: Saturation
% 0.18/0.50  
% 0.18/0.50  % (23761)Memory used [KB]: 5628
% 0.18/0.50  % (23761)Time elapsed: 0.122 s
% 0.18/0.50  % (23761)Instructions burned: 7 (million)
% 0.18/0.50  % (23761)------------------------------
% 0.18/0.50  % (23761)------------------------------
% 0.18/0.51  % (23769)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.18/0.51  % (23785)lrs+10_1:2_bd=preordered:drc=off:fd=preordered:fde=unused:sp=const_min:to=lpo:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.18/0.51  % (23765)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.18/0.51  % (23781)lrs+10_5:1_br=off:ep=RSTC:sos=all:urr=on:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/267Mi)
% 0.18/0.51  % (23786)dis+10_1:1024_av=off:bd=preordered:drc=off:nwc=3.0:rp=on:thsq=on:thsqc=64:thsqd=32:to=lpo:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/267Mi)
% 0.18/0.51  % (23779)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 0.18/0.51  % (23773)lrs+10_1:128_plsq=on:plsqc=2:s2a=on:ss=axioms:st=1.5:urr=on:i=321:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/321Mi)
% 0.18/0.51  % (23775)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.18/0.51  % (23773)Refutation not found, incomplete strategy% (23773)------------------------------
% 0.18/0.51  % (23773)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (23773)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (23773)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.51  
% 0.18/0.51  % (23773)Memory used [KB]: 5373
% 0.18/0.51  % (23773)Time elapsed: 0.126 s
% 0.18/0.51  % (23773)Instructions burned: 2 (million)
% 0.18/0.51  % (23773)------------------------------
% 0.18/0.51  % (23773)------------------------------
% 0.18/0.51  % (23789)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.18/0.52  % (23776)lrs+10_1:1_br=off:flr=on:slsq=on:slsqc=1:sp=frequency:urr=on:i=257:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/257Mi)
% 0.18/0.52  % (23778)lrs+10_1:128_bd=off:drc=off:fd=preordered:nwc=1.6:urr=on:i=103:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/103Mi)
% 0.18/0.52  % (23787)lrs+10_1:128_awrs=converge:awrsf=8:bd=off:drc=off:slsq=on:slsqc=1:slsql=off:slsqr=40,29:i=495:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/495Mi)
% 0.18/0.52  % (23766)dis+31_8:1_br=off:fd=off:gs=on:lcm=reverse:nm=16:nwc=5.0:sp=reverse_arity:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.52  % (23788)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=381:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/381Mi)
% 0.18/0.52  % (23759)Instruction limit reached!
% 0.18/0.52  % (23759)------------------------------
% 0.18/0.52  % (23759)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (23770)dis+10_1:1024_anc=all:drc=off:flr=on:fsr=off:sac=on:urr=on:i=292:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/292Mi)
% 0.18/0.53  % (23759)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (23759)Termination reason: Unknown
% 0.18/0.53  % (23759)Termination phase: Saturation
% 0.18/0.53  
% 0.18/0.53  % (23759)Memory used [KB]: 5628
% 0.18/0.53  % (23759)Time elapsed: 0.119 s
% 0.18/0.53  % (23759)Instructions burned: 10 (million)
% 0.18/0.53  % (23759)------------------------------
% 0.18/0.53  % (23759)------------------------------
% 0.18/0.53  % (23763)Instruction limit reached!
% 0.18/0.53  % (23763)------------------------------
% 0.18/0.53  % (23763)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (23763)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (23763)Termination reason: Unknown
% 0.18/0.53  % (23763)Termination phase: Saturation
% 0.18/0.53  
% 0.18/0.53  % (23763)Memory used [KB]: 5756
% 0.18/0.53  % (23763)Time elapsed: 0.145 s
% 0.18/0.53  % (23763)Instructions burned: 21 (million)
% 0.18/0.53  % (23763)------------------------------
% 0.18/0.53  % (23763)------------------------------
% 0.18/0.53  % (23768)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=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.56  % (23767)Instruction limit reached!
% 0.18/0.56  % (23767)------------------------------
% 0.18/0.56  % (23767)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57  % (23760)Instruction limit reached!
% 0.18/0.57  % (23760)------------------------------
% 0.18/0.57  % (23760)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57  % (23789)Instruction limit reached!
% 0.18/0.57  % (23789)------------------------------
% 0.18/0.57  % (23789)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57  % (23760)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.57  % (23760)Termination reason: Unknown
% 0.18/0.57  % (23760)Termination phase: Saturation
% 0.18/0.57  
% 0.18/0.57  % (23760)Memory used [KB]: 6268
% 0.18/0.57  % (23760)Time elapsed: 0.179 s
% 0.18/0.57  % (23760)Instructions burned: 37 (million)
% 0.18/0.57  % (23760)------------------------------
% 0.18/0.57  % (23760)------------------------------
% 0.18/0.57  % (23765)Instruction limit reached!
% 0.18/0.57  % (23765)------------------------------
% 0.18/0.57  % (23765)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57  % (23765)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.57  % (23765)Termination reason: Unknown
% 0.18/0.57  % (23765)Termination phase: Saturation
% 0.18/0.57  
% 0.18/0.57  % (23765)Memory used [KB]: 5884
% 0.18/0.57  % (23765)Time elapsed: 0.197 s
% 0.18/0.57  % (23765)Instructions burned: 34 (million)
% 0.18/0.57  % (23765)------------------------------
% 0.18/0.57  % (23765)------------------------------
% 0.18/0.57  % (23778)First to succeed.
% 0.18/0.57  % (23778)Refutation found. Thanks to Tanya!
% 0.18/0.57  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.57  % (23778)------------------------------
% 0.18/0.57  % (23778)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57  % (23778)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.57  % (23778)Termination reason: Refutation
% 0.18/0.57  
% 0.18/0.57  % (23778)Memory used [KB]: 6140
% 0.18/0.57  % (23778)Time elapsed: 0.181 s
% 0.18/0.57  % (23778)Instructions burned: 30 (million)
% 0.18/0.57  % (23778)------------------------------
% 0.18/0.57  % (23778)------------------------------
% 0.18/0.57  % (23755)Success in time 0.229 s
%------------------------------------------------------------------------------