TSTP Solution File: ANA004-4 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ANA004-4 : 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 : n001.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 15:44:29 EDT 2022
% Result : Unsatisfiable 0.19s 0.56s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 17
% Syntax : Number of formulae : 46 ( 3 unt; 0 def)
% Number of atoms : 112 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 106 ( 40 ~; 62 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-2 aty)
% Number of variables : 39 ( 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f218,plain,
$false,
inference(avatar_sat_refutation,[],[f179,f188,f211,f214,f217]) ).
fof(f217,plain,
( spl0_3
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f216]) ).
fof(f216,plain,
( $false
| spl0_3
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f215,f67]) ).
fof(f67,plain,
( ~ less_or_equal(half(epsilon_0),n0)
| spl0_3 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f66,plain,
( spl0_3
<=> less_or_equal(half(epsilon_0),n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f215,plain,
( less_or_equal(half(epsilon_0),n0)
| ~ spl0_10 ),
inference(resolution,[],[f210,f8]) ).
fof(f8,axiom,
! [X3] :
( ~ less_or_equal(delta_2(X3),n0)
| less_or_equal(X3,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
fof(f210,plain,
( less_or_equal(delta_2(half(epsilon_0)),n0)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f208,plain,
( spl0_10
<=> less_or_equal(delta_2(half(epsilon_0)),n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f214,plain,
( spl0_3
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f213]) ).
fof(f213,plain,
( $false
| spl0_3
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f212,f67]) ).
fof(f212,plain,
( less_or_equal(half(epsilon_0),n0)
| ~ spl0_9 ),
inference(resolution,[],[f206,f7]) ).
fof(f7,axiom,
! [X3] :
( ~ less_or_equal(delta_1(X3),n0)
| less_or_equal(X3,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
fof(f206,plain,
( less_or_equal(delta_1(half(epsilon_0)),n0)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f204,plain,
( spl0_9
<=> less_or_equal(delta_1(half(epsilon_0)),n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f211,plain,
( spl0_9
| spl0_10
| spl0_3
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f202,f177,f66,f208,f204]) ).
fof(f177,plain,
( spl0_8
<=> ! [X0] :
( less_or_equal(minimum(X0,delta_2(half(epsilon_0))),n0)
| ~ less_or_equal(absolute(add(f(xs(minimum(X0,delta_2(half(epsilon_0))))),negate(f(a_real_number)))),half(epsilon_0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f202,plain,
( less_or_equal(delta_2(half(epsilon_0)),n0)
| less_or_equal(delta_1(half(epsilon_0)),n0)
| spl0_3
| ~ spl0_8 ),
inference(resolution,[],[f201,f4]) ).
fof(f4,axiom,
! [X0,X1] :
( ~ less_or_equal(minimum(X0,X1),n0)
| less_or_equal(X0,n0)
| less_or_equal(X1,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',minimum9) ).
fof(f201,plain,
( less_or_equal(minimum(delta_1(half(epsilon_0)),delta_2(half(epsilon_0))),n0)
| spl0_3
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f200,f67]) ).
fof(f200,plain,
( less_or_equal(half(epsilon_0),n0)
| less_or_equal(minimum(delta_1(half(epsilon_0)),delta_2(half(epsilon_0))),n0)
| ~ spl0_8 ),
inference(duplicate_literal_removal,[],[f198]) ).
fof(f198,plain,
( less_or_equal(minimum(delta_1(half(epsilon_0)),delta_2(half(epsilon_0))),n0)
| less_or_equal(minimum(delta_1(half(epsilon_0)),delta_2(half(epsilon_0))),n0)
| less_or_equal(half(epsilon_0),n0)
| ~ spl0_8 ),
inference(resolution,[],[f178,f31]) ).
fof(f31,plain,
! [X0,X1] :
( less_or_equal(absolute(add(f(xs(minimum(delta_1(X0),X1))),negate(f(a_real_number)))),X0)
| less_or_equal(X0,n0)
| less_or_equal(minimum(delta_1(X0),X1),n0) ),
inference(resolution,[],[f15,f9]) ).
fof(f9,axiom,
! [X2,X3] :
( ~ less_or_equal(absolute(add(X2,negate(a_real_number))),delta_1(X3))
| less_or_equal(X3,n0)
| less_or_equal(absolute(add(f(X2),negate(f(a_real_number)))),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
fof(f15,plain,
! [X2,X3] :
( less_or_equal(absolute(add(xs(minimum(X2,X3)),negate(a_real_number))),X2)
| less_or_equal(minimum(X2,X3),n0) ),
inference(resolution,[],[f12,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] :
( ~ less_or_equal(X2,minimum(X0,X1))
| less_or_equal(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',minimum3) ).
fof(f12,axiom,
! [X4] :
( less_or_equal(absolute(add(xs(X4),negate(a_real_number))),X4)
| less_or_equal(X4,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
fof(f178,plain,
( ! [X0] :
( ~ less_or_equal(absolute(add(f(xs(minimum(X0,delta_2(half(epsilon_0))))),negate(f(a_real_number)))),half(epsilon_0))
| less_or_equal(minimum(X0,delta_2(half(epsilon_0))),n0) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f188,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f187]) ).
fof(f187,plain,
( $false
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f186,f11]) ).
fof(f11,axiom,
~ less_or_equal(epsilon_0,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
fof(f186,plain,
( less_or_equal(epsilon_0,n0)
| ~ spl0_3 ),
inference(resolution,[],[f68,f6]) ).
fof(f6,axiom,
! [X0] :
( ~ less_or_equal(half(X0),n0)
| less_or_equal(X0,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_and_half) ).
fof(f68,plain,
( less_or_equal(half(epsilon_0),n0)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f179,plain,
( spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f175,f177,f66]) ).
fof(f175,plain,
! [X0] :
( less_or_equal(minimum(X0,delta_2(half(epsilon_0))),n0)
| less_or_equal(half(epsilon_0),n0)
| ~ less_or_equal(absolute(add(f(xs(minimum(X0,delta_2(half(epsilon_0))))),negate(f(a_real_number)))),half(epsilon_0)) ),
inference(duplicate_literal_removal,[],[f168]) ).
fof(f168,plain,
! [X0] :
( less_or_equal(minimum(X0,delta_2(half(epsilon_0))),n0)
| ~ less_or_equal(absolute(add(f(xs(minimum(X0,delta_2(half(epsilon_0))))),negate(f(a_real_number)))),half(epsilon_0))
| less_or_equal(minimum(X0,delta_2(half(epsilon_0))),n0)
| less_or_equal(half(epsilon_0),n0) ),
inference(resolution,[],[f28,f35]) ).
fof(f35,plain,
! [X0] :
( ~ less_or_equal(absolute(add(g(xs(X0)),negate(g(a_real_number)))),half(epsilon_0))
| less_or_equal(X0,n0)
| ~ less_or_equal(absolute(add(f(xs(X0)),negate(f(a_real_number)))),half(epsilon_0)) ),
inference(resolution,[],[f16,f13]) ).
fof(f13,axiom,
! [X4] :
( ~ less_or_equal(absolute(add(add(f(xs(X4)),negate(f(a_real_number))),add(g(xs(X4)),negate(g(a_real_number))))),epsilon_0)
| less_or_equal(X4,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7_1) ).
fof(f16,plain,
! [X2,X0,X1] :
( less_or_equal(absolute(add(X0,X2)),X1)
| ~ less_or_equal(absolute(X2),half(X1))
| ~ less_or_equal(absolute(X0),half(X1)) ),
inference(resolution,[],[f5,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ less_or_equal(add(absolute(X0),absolute(X1)),X2)
| less_or_equal(absolute(add(X0,X1)),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absolute_sum_less_or_equal_sum_of_absolutes2) ).
fof(f5,axiom,
! [X2,X0,X1] :
( less_or_equal(add(X0,X1),X2)
| ~ less_or_equal(X0,half(X2))
| ~ less_or_equal(X1,half(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_sum_of_halves) ).
fof(f28,plain,
! [X2,X3] :
( less_or_equal(absolute(add(g(xs(minimum(X2,delta_2(X3)))),negate(g(a_real_number)))),X3)
| less_or_equal(X3,n0)
| less_or_equal(minimum(X2,delta_2(X3)),n0) ),
inference(resolution,[],[f14,f10]) ).
fof(f10,axiom,
! [X2,X3] :
( ~ less_or_equal(absolute(add(X2,negate(a_real_number))),delta_2(X3))
| less_or_equal(X3,n0)
| less_or_equal(absolute(add(g(X2),negate(g(a_real_number)))),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
fof(f14,plain,
! [X0,X1] :
( less_or_equal(absolute(add(xs(minimum(X0,X1)),negate(a_real_number))),X1)
| less_or_equal(minimum(X0,X1),n0) ),
inference(resolution,[],[f12,f3]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ less_or_equal(X2,minimum(X0,X1))
| less_or_equal(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',minimum7) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ANA004-4 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n001.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 15:32:29 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.52 % (8315)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)
% 0.19/0.54 % (8315)First to succeed.
% 0.19/0.54 % (8314)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)
% 0.19/0.55 % (8323)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)
% 0.19/0.55 % (8328)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)
% 0.19/0.55 % (8334)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)
% 0.19/0.55 % (8314)Instruction limit reached!
% 0.19/0.55 % (8314)------------------------------
% 0.19/0.55 % (8314)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (8314)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (8314)Termination reason: Unknown
% 0.19/0.55 % (8314)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (8314)Memory used [KB]: 5884
% 0.19/0.55 % (8314)Time elapsed: 0.139 s
% 0.19/0.55 % (8314)Instructions burned: 5 (million)
% 0.19/0.55 % (8314)------------------------------
% 0.19/0.55 % (8314)------------------------------
% 0.19/0.56 % (8315)Refutation found. Thanks to Tanya!
% 0.19/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.56 % (8315)------------------------------
% 0.19/0.56 % (8315)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (8315)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (8315)Termination reason: Refutation
% 0.19/0.56
% 0.19/0.56 % (8315)Memory used [KB]: 6140
% 0.19/0.56 % (8315)Time elapsed: 0.131 s
% 0.19/0.56 % (8315)Instructions burned: 12 (million)
% 0.19/0.56 % (8315)------------------------------
% 0.19/0.56 % (8315)------------------------------
% 0.19/0.56 % (8311)Success in time 0.207 s
%------------------------------------------------------------------------------