TSTP Solution File: COL057-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : COL057-1 : 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 : n004.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 15:51:52 EDT 2022

% Result   : Unsatisfiable 0.20s 0.61s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   10 (  10 unt;   0 def)
%            Number of atoms       :   10 (   9 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f334,plain,
    $false,
    inference(equality_resolution,[],[f307]) ).

fof(f307,plain,
    ! [X0] : apply(apply(apply(apply(s,apply(b,apply(s,i))),i),X0),f(apply(X0,X0))) != apply(apply(X0,X0),f(apply(X0,X0))),
    inference(superposition,[],[f217,f4]) ).

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

fof(f217,plain,
    ! [X40,X41] : apply(apply(X40,apply(X41,X40)),f(apply(X40,apply(X41,X40)))) != apply(apply(apply(apply(s,apply(b,apply(s,i))),X41),X40),f(apply(X40,apply(X41,X40)))),
    inference(superposition,[],[f124,f61]) ).

fof(f61,plain,
    ! [X2,X0,X1] : apply(X0,apply(X1,apply(X2,X1))) = apply(apply(apply(s,apply(b,X0)),X2),X1),
    inference(superposition,[],[f1,f2]) ).

fof(f2,axiom,
    ! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_definition) ).

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

fof(f124,plain,
    ! [X74] : apply(apply(apply(s,i),X74),f(X74)) != apply(X74,f(X74)),
    inference(superposition,[],[f5,f51]) ).

fof(f51,plain,
    ! [X0,X1] : apply(apply(apply(s,i),X1),X0) = apply(X0,apply(X1,X0)),
    inference(superposition,[],[f1,f4]) ).

fof(f5,axiom,
    ! [X1] : apply(X1,f(X1)) != apply(f(X1),apply(X1,f(X1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_strong_fixed_point) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : COL057-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n004.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 29 16:41:05 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.47  % (31380)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.48  % (31388)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)
% 0.20/0.52  % (31380)Instruction limit reached!
% 0.20/0.52  % (31380)------------------------------
% 0.20/0.52  % (31380)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (31384)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)
% 0.20/0.52  % (31381)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)
% 0.20/0.52  % (31380)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (31380)Termination reason: Unknown
% 0.20/0.52  % (31380)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (31380)Memory used [KB]: 6012
% 0.20/0.52  % (31380)Time elapsed: 0.088 s
% 0.20/0.52  % (31380)Instructions burned: 34 (million)
% 0.20/0.52  % (31380)------------------------------
% 0.20/0.52  % (31380)------------------------------
% 0.20/0.53  % (31398)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)
% 0.20/0.53  % (31376)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)
% 0.20/0.54  % (31374)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)
% 0.20/0.54  % (31401)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)
% 0.20/0.54  % (31373)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.20/0.54  % (31387)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)
% 0.20/0.54  % (31377)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)
% 0.20/0.54  % (31375)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)
% 0.20/0.54  % (31382)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)
% 0.20/0.54  % (31378)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)
% 0.20/0.54  % (31383)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)
% 0.20/0.55  % (31393)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 0.20/0.55  % (31400)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)
% 0.20/0.55  % (31399)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)
% 0.20/0.55  % (31394)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)
% 0.20/0.55  % (31395)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)
% 0.20/0.55  % (31385)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)
% 0.20/0.55  % (31392)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)
% 0.20/0.55  % (31389)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)
% 0.20/0.55  % (31374)Instruction limit reached!
% 0.20/0.55  % (31374)------------------------------
% 0.20/0.55  % (31374)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (31386)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)
% 0.20/0.55  % (31374)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (31374)Termination reason: Unknown
% 0.20/0.55  % (31374)Termination phase: Saturation
% 0.20/0.55  
% 0.20/0.55  % (31374)Memory used [KB]: 5628
% 0.20/0.55  % (31374)Time elapsed: 0.149 s
% 0.20/0.55  % (31374)Instructions burned: 10 (million)
% 0.20/0.55  % (31374)------------------------------
% 0.20/0.55  % (31374)------------------------------
% 0.20/0.56  % (31391)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)
% 0.20/0.56  % (31402)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)
% 0.20/0.56  % (31390)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)
% 0.20/0.56  % (31376)Instruction limit reached!
% 0.20/0.56  % (31376)------------------------------
% 0.20/0.56  % (31376)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (31376)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (31376)Termination reason: Unknown
% 0.20/0.56  % (31376)Termination phase: Saturation
% 0.20/0.56  
% 0.20/0.56  % (31376)Memory used [KB]: 5628
% 0.20/0.56  % (31376)Time elapsed: 0.130 s
% 0.20/0.56  % (31376)Instructions burned: 7 (million)
% 0.20/0.56  % (31376)------------------------------
% 0.20/0.56  % (31376)------------------------------
% 0.20/0.56  % (31387)Refutation not found, incomplete strategy% (31387)------------------------------
% 0.20/0.56  % (31387)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (31387)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (31387)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.56  
% 0.20/0.56  % (31387)Memory used [KB]: 5373
% 0.20/0.56  % (31387)Time elapsed: 0.121 s
% 0.20/0.56  % (31387)Instructions burned: 2 (million)
% 0.20/0.56  % (31387)------------------------------
% 0.20/0.56  % (31387)------------------------------
% 0.20/0.56  % (31396)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)
% 0.20/0.56  % (31397)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)
% 0.20/0.57  % (31379)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)
% 0.20/0.57  % (31378)Instruction limit reached!
% 0.20/0.57  % (31378)------------------------------
% 0.20/0.57  % (31378)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (31378)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (31378)Termination reason: Unknown
% 0.20/0.57  % (31378)Termination phase: Saturation
% 0.20/0.57  
% 0.20/0.57  % (31378)Memory used [KB]: 5756
% 0.20/0.57  % (31378)Time elapsed: 0.165 s
% 0.20/0.57  % (31378)Instructions burned: 20 (million)
% 0.20/0.57  % (31378)------------------------------
% 0.20/0.57  % (31378)------------------------------
% 0.20/0.57  % (31379)Instruction limit reached!
% 0.20/0.57  % (31379)------------------------------
% 0.20/0.57  % (31379)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (31379)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (31379)Termination reason: Unknown
% 0.20/0.57  % (31379)Termination phase: Saturation
% 0.20/0.57  
% 0.20/0.57  % (31379)Memory used [KB]: 5628
% 0.20/0.57  % (31379)Time elapsed: 0.127 s
% 0.20/0.57  % (31379)Instructions burned: 8 (million)
% 0.20/0.57  % (31379)------------------------------
% 0.20/0.57  % (31379)------------------------------
% 0.20/0.59  % (31384)Instruction limit reached!
% 0.20/0.59  % (31384)------------------------------
% 0.20/0.59  % (31384)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59  % (31384)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59  % (31384)Termination reason: Unknown
% 0.20/0.59  % (31384)Termination phase: Saturation
% 0.20/0.59  
% 0.20/0.59  % (31384)Memory used [KB]: 6524
% 0.20/0.59  % (31384)Time elapsed: 0.191 s
% 0.20/0.59  % (31384)Instructions burned: 48 (million)
% 0.20/0.59  % (31384)------------------------------
% 0.20/0.59  % (31384)------------------------------
% 0.20/0.60  % (31377)Instruction limit reached!
% 0.20/0.60  % (31377)------------------------------
% 0.20/0.60  % (31377)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60  % (31377)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60  % (31377)Termination reason: Unknown
% 0.20/0.60  % (31377)Termination phase: Saturation
% 0.20/0.60  
% 0.20/0.60  % (31377)Memory used [KB]: 6396
% 0.20/0.60  % (31377)Time elapsed: 0.189 s
% 0.20/0.60  % (31377)Instructions burned: 48 (million)
% 0.20/0.60  % (31377)------------------------------
% 0.20/0.60  % (31377)------------------------------
% 0.20/0.60  % (31383)Instruction limit reached!
% 0.20/0.60  % (31383)------------------------------
% 0.20/0.60  % (31383)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60  % (31383)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60  % (31383)Termination reason: Unknown
% 0.20/0.60  % (31383)Termination phase: Saturation
% 0.20/0.60  
% 0.20/0.60  % (31383)Memory used [KB]: 6396
% 0.20/0.60  % (31383)Time elapsed: 0.176 s
% 0.20/0.60  % (31383)Instructions burned: 38 (million)
% 0.20/0.60  % (31383)------------------------------
% 0.20/0.60  % (31383)------------------------------
% 0.20/0.60  % (31396)First to succeed.
% 0.20/0.61  % (31396)Refutation found. Thanks to Tanya!
% 0.20/0.61  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.61  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.61  % (31396)------------------------------
% 0.20/0.61  % (31396)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.61  % (31396)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.61  % (31396)Termination reason: Refutation
% 0.20/0.61  
% 0.20/0.61  % (31396)Memory used [KB]: 6268
% 0.20/0.61  % (31396)Time elapsed: 0.163 s
% 0.20/0.61  % (31396)Instructions burned: 32 (million)
% 0.20/0.61  % (31396)------------------------------
% 0.20/0.61  % (31396)------------------------------
% 0.20/0.61  % (31372)Success in time 0.244 s
%------------------------------------------------------------------------------