TSTP Solution File: ANA003-4 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ANA003-4 : 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_sat --cores 0 -t %d %s
% Computer : n027.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 15:44:53 EDT 2022
% Result : Unsatisfiable 1.85s 0.61s
% Output : Refutation 1.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 17
% Syntax : Number of formulae : 43 ( 3 unt; 0 def)
% Number of atoms : 101 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 93 ( 35 ~; 53 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 6 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-2 aty)
% Number of variables : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f213,plain,
$false,
inference(avatar_sat_refutation,[],[f96,f135,f164,f203,f205,f212]) ).
fof(f212,plain,
( spl0_3
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f211,f200,f61]) ).
fof(f61,plain,
( spl0_3
<=> less_or_equal(half(epsilon_0),n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f200,plain,
( spl0_7
<=> less_or_equal(delta_1(half(epsilon_0)),n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f211,plain,
( less_or_equal(half(epsilon_0),n0)
| ~ spl0_7 ),
inference(resolution,[],[f202,f6]) ).
fof(f6,axiom,
! [X3] :
( ~ less_or_equal(delta_1(X3),n0)
| less_or_equal(X3,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
fof(f202,plain,
( less_or_equal(delta_1(half(epsilon_0)),n0)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f205,plain,
( spl0_3
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f204,f53,f61]) ).
fof(f53,plain,
( spl0_1
<=> less_or_equal(delta_2(half(epsilon_0)),n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f204,plain,
( less_or_equal(half(epsilon_0),n0)
| ~ spl0_1 ),
inference(resolution,[],[f55,f7]) ).
fof(f7,axiom,
! [X3] :
( ~ less_or_equal(delta_2(X3),n0)
| less_or_equal(X3,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
fof(f55,plain,
( less_or_equal(delta_2(half(epsilon_0)),n0)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f203,plain,
( spl0_1
| spl0_7
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f198,f161,f200,f53]) ).
fof(f161,plain,
( spl0_6
<=> less_or_equal(minimum(delta_2(half(epsilon_0)),delta_1(half(epsilon_0))),n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f198,plain,
( less_or_equal(delta_1(half(epsilon_0)),n0)
| less_or_equal(delta_2(half(epsilon_0)),n0)
| ~ spl0_6 ),
inference(resolution,[],[f163,f3]) ).
fof(f3,axiom,
! [X2,X1] :
( ~ less_or_equal(minimum(X1,X2),n0)
| less_or_equal(X1,n0)
| less_or_equal(X2,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',minimum9) ).
fof(f163,plain,
( less_or_equal(minimum(delta_2(half(epsilon_0)),delta_1(half(epsilon_0))),n0)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f164,plain,
( spl0_3
| spl0_6
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f159,f94,f161,f61]) ).
fof(f94,plain,
( spl0_4
<=> ! [X6] :
( ~ less_or_equal(absolute(add(f(xs(minimum(delta_2(half(epsilon_0)),X6))),negate(f(a_real_number)))),half(epsilon_0))
| less_or_equal(minimum(delta_2(half(epsilon_0)),X6),n0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f159,plain,
( less_or_equal(minimum(delta_2(half(epsilon_0)),delta_1(half(epsilon_0))),n0)
| less_or_equal(half(epsilon_0),n0)
| ~ spl0_4 ),
inference(duplicate_literal_removal,[],[f158]) ).
fof(f158,plain,
( less_or_equal(half(epsilon_0),n0)
| less_or_equal(minimum(delta_2(half(epsilon_0)),delta_1(half(epsilon_0))),n0)
| less_or_equal(minimum(delta_2(half(epsilon_0)),delta_1(half(epsilon_0))),n0)
| ~ spl0_4 ),
inference(resolution,[],[f95,f26]) ).
fof(f26,plain,
! [X6,X7] :
( less_or_equal(absolute(add(f(xs(minimum(X6,delta_1(X7)))),negate(f(a_real_number)))),X7)
| less_or_equal(minimum(X6,delta_1(X7)),n0)
| less_or_equal(X7,n0) ),
inference(resolution,[],[f16,f8]) ).
fof(f8,axiom,
! [X3,X0] :
( ~ less_or_equal(absolute(add(X0,negate(a_real_number))),delta_1(X3))
| less_or_equal(X3,n0)
| less_or_equal(absolute(add(f(X0),negate(f(a_real_number)))),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
fof(f16,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,[],[f2,f11]) ).
fof(f11,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(f2,axiom,
! [X2,X0,X1] :
( ~ less_or_equal(X0,minimum(X1,X2))
| less_or_equal(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',minimum7) ).
fof(f95,plain,
( ! [X6] :
( ~ less_or_equal(absolute(add(f(xs(minimum(delta_2(half(epsilon_0)),X6))),negate(f(a_real_number)))),half(epsilon_0))
| less_or_equal(minimum(delta_2(half(epsilon_0)),X6),n0) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f135,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f134]) ).
fof(f134,plain,
( $false
| ~ spl0_3 ),
inference(resolution,[],[f117,f10]) ).
fof(f10,axiom,
~ less_or_equal(epsilon_0,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
fof(f117,plain,
( less_or_equal(epsilon_0,n0)
| ~ spl0_3 ),
inference(resolution,[],[f63,f5]) ).
fof(f5,axiom,
! [X1] :
( ~ less_or_equal(half(X1),n0)
| less_or_equal(X1,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_and_half) ).
fof(f63,plain,
( less_or_equal(half(epsilon_0),n0)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f96,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f92,f94,f61]) ).
fof(f92,plain,
! [X6] :
( ~ less_or_equal(absolute(add(f(xs(minimum(delta_2(half(epsilon_0)),X6))),negate(f(a_real_number)))),half(epsilon_0))
| less_or_equal(half(epsilon_0),n0)
| less_or_equal(minimum(delta_2(half(epsilon_0)),X6),n0) ),
inference(duplicate_literal_removal,[],[f89]) ).
fof(f89,plain,
! [X6] :
( less_or_equal(minimum(delta_2(half(epsilon_0)),X6),n0)
| less_or_equal(minimum(delta_2(half(epsilon_0)),X6),n0)
| less_or_equal(half(epsilon_0),n0)
| ~ less_or_equal(absolute(add(f(xs(minimum(delta_2(half(epsilon_0)),X6))),negate(f(a_real_number)))),half(epsilon_0)) ),
inference(resolution,[],[f23,f19]) ).
fof(f19,plain,
! [X0] :
( ~ less_or_equal(absolute(add(g(xs(X0)),negate(g(a_real_number)))),half(epsilon_0))
| ~ less_or_equal(absolute(add(f(xs(X0)),negate(f(a_real_number)))),half(epsilon_0))
| less_or_equal(X0,n0) ),
inference(resolution,[],[f12,f4]) ).
fof(f4,axiom,
! [X2,X0,X1] :
( less_or_equal(add(X1,X2),X0)
| ~ less_or_equal(X2,half(X0))
| ~ less_or_equal(X1,half(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_sum_of_halves) ).
fof(f12,axiom,
! [X4] :
( ~ less_or_equal(add(absolute(add(f(xs(X4)),negate(f(a_real_number)))),absolute(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_2) ).
fof(f23,plain,
! [X8,X9] :
( less_or_equal(absolute(add(g(xs(minimum(delta_2(X8),X9))),negate(g(a_real_number)))),X8)
| less_or_equal(minimum(delta_2(X8),X9),n0)
| less_or_equal(X8,n0) ),
inference(resolution,[],[f15,f9]) ).
fof(f9,axiom,
! [X3,X0] :
( ~ less_or_equal(absolute(add(X0,negate(a_real_number))),delta_2(X3))
| less_or_equal(absolute(add(g(X0),negate(g(a_real_number)))),X3)
| less_or_equal(X3,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
fof(f15,plain,
! [X0,X1] :
( less_or_equal(absolute(add(xs(minimum(X0,X1)),negate(a_real_number))),X0)
| less_or_equal(minimum(X0,X1),n0) ),
inference(resolution,[],[f1,f11]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ less_or_equal(X0,minimum(X1,X2))
| less_or_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',minimum3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ANA003-4 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 15:26:00 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.47/0.56 % (6832)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.47/0.57 % (6825)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.47/0.57 % (6817)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.47/0.58 % (6843)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 (2999ds/355Mi)
% 1.47/0.58 % (6835)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.47/0.58 % (6814)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 (2999ds/191324Mi)
% 1.85/0.59 TRYING [1]
% 1.85/0.59 TRYING [2]
% 1.85/0.59 % (6821)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.85/0.59 % (6820)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.85/0.60 % (6843)First to succeed.
% 1.85/0.61 % (6819)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 (2999ds/48Mi)
% 1.85/0.61 % (6816)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 (2999ds/37Mi)
% 1.85/0.61 % (6843)Refutation found. Thanks to Tanya!
% 1.85/0.61 % SZS status Unsatisfiable for theBenchmark
% 1.85/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.85/0.61 % (6843)------------------------------
% 1.85/0.61 % (6843)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.61 % (6843)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.61 % (6843)Termination reason: Refutation
% 1.85/0.61
% 1.85/0.61 % (6843)Memory used [KB]: 5756
% 1.85/0.61 % (6843)Time elapsed: 0.172 s
% 1.85/0.61 % (6843)Instructions burned: 13 (million)
% 1.85/0.61 % (6843)------------------------------
% 1.85/0.61 % (6843)------------------------------
% 1.85/0.61 % (6813)Success in time 0.26 s
%------------------------------------------------------------------------------