TSTP Solution File: FLD039-3 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : FLD039-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : n018.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 16:05:39 EDT 2022
% Result : Unsatisfiable 0.16s 0.55s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of formulae : 28 ( 6 unt; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 64 ( 31 ~; 30 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 4 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f378,plain,
$false,
inference(avatar_sat_refutation,[],[f55,f147,f360,f377]) ).
fof(f377,plain,
spl0_6,
inference(avatar_contradiction_clause,[],[f376]) ).
fof(f376,plain,
( $false
| spl0_6 ),
inference(subsumption_resolution,[],[f373,f14]) ).
fof(f14,axiom,
defined(additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_additive_identity) ).
fof(f373,plain,
( ~ defined(additive_identity)
| spl0_6 ),
inference(resolution,[],[f140,f70]) ).
fof(f70,plain,
! [X0] :
( less_or_equal(X0,X0)
| ~ defined(X0) ),
inference(duplicate_literal_removal,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ~ defined(X0)
| less_or_equal(X0,X0)
| ~ defined(X0) ),
inference(factoring,[],[f23]) ).
fof(f23,axiom,
! [X3,X0] :
( less_or_equal(X3,X0)
| less_or_equal(X0,X3)
| ~ defined(X0)
| ~ defined(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',totality_of_order_relation) ).
fof(f140,plain,
( ~ less_or_equal(additive_identity,additive_identity)
| spl0_6 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f138,plain,
( spl0_6
<=> less_or_equal(additive_identity,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f360,plain,
( spl0_2
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f359,f138,f52]) ).
fof(f52,plain,
( spl0_2
<=> less_or_equal(additive_identity,multiplicative_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f359,plain,
( ~ less_or_equal(additive_identity,additive_identity)
| less_or_equal(additive_identity,multiplicative_identity) ),
inference(subsumption_resolution,[],[f284,f17]) ).
fof(f17,axiom,
defined(multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_multiplicative_identity) ).
fof(f284,plain,
( ~ less_or_equal(additive_identity,additive_identity)
| ~ defined(multiplicative_identity)
| less_or_equal(additive_identity,multiplicative_identity) ),
inference(resolution,[],[f90,f29]) ).
fof(f29,axiom,
sum(additive_identity,multiplicative_identity,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_3) ).
fof(f90,plain,
! [X16,X17,X15] :
( ~ sum(X17,X16,X15)
| ~ defined(X16)
| less_or_equal(X15,X16)
| ~ less_or_equal(X17,additive_identity) ),
inference(resolution,[],[f24,f3]) ).
fof(f3,axiom,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f24,axiom,
! [X3,X0,X1,X4,X5] :
( ~ sum(X3,X5,X1)
| less_or_equal(X4,X1)
| ~ less_or_equal(X0,X3)
| ~ sum(X0,X5,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility_of_order_relation_and_addition) ).
fof(f147,plain,
( ~ spl0_6
| spl0_1 ),
inference(avatar_split_clause,[],[f146,f48,f138]) ).
fof(f48,plain,
( spl0_1
<=> less_or_equal(multiplicative_identity,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f146,plain,
( less_or_equal(multiplicative_identity,additive_identity)
| ~ less_or_equal(additive_identity,additive_identity) ),
inference(subsumption_resolution,[],[f133,f17]) ).
fof(f133,plain,
( less_or_equal(multiplicative_identity,additive_identity)
| ~ defined(multiplicative_identity)
| ~ less_or_equal(additive_identity,additive_identity) ),
inference(resolution,[],[f89,f3]) ).
fof(f89,plain,
! [X14,X13] :
( ~ sum(X14,multiplicative_identity,X13)
| ~ less_or_equal(X14,additive_identity)
| less_or_equal(X13,additive_identity) ),
inference(resolution,[],[f24,f29]) ).
fof(f55,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f45,f52,f48]) ).
fof(f45,plain,
( ~ less_or_equal(additive_identity,multiplicative_identity)
| ~ less_or_equal(multiplicative_identity,additive_identity) ),
inference(resolution,[],[f21,f26]) ).
fof(f26,axiom,
~ sum(additive_identity,additive_identity,multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',different_identities) ).
fof(f21,axiom,
! [X3,X0] :
( sum(additive_identity,X0,X3)
| ~ less_or_equal(X3,X0)
| ~ less_or_equal(X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_of_order_relation) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13 % Problem : FLD039-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.05/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.35 % Computer : n018.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8042.1875MB
% 0.11/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Mon Aug 29 20:42:54 EDT 2022
% 0.11/0.35 % CPUTime :
% 0.16/0.50 % (19528)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)
% 0.16/0.50 % (19532)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)
% 0.16/0.51 % (19524)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)
% 0.16/0.51 % (19536)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)
% 0.16/0.51 % (19540)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)
% 0.16/0.51 % (19528)Instruction limit reached!
% 0.16/0.51 % (19528)------------------------------
% 0.16/0.51 % (19528)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51 % (19526)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)
% 0.16/0.52 % (19526)Instruction limit reached!
% 0.16/0.52 % (19526)------------------------------
% 0.16/0.52 % (19526)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.52 % (19526)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.52 % (19542)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)
% 0.16/0.52 % (19526)Termination reason: Unknown
% 0.16/0.52 % (19526)Termination phase: Saturation
% 0.16/0.52
% 0.16/0.52 % (19526)Memory used [KB]: 5884
% 0.16/0.52 % (19526)Time elapsed: 0.100 s
% 0.16/0.52 % (19526)Instructions burned: 3 (million)
% 0.16/0.52 % (19526)------------------------------
% 0.16/0.52 % (19526)------------------------------
% 0.16/0.52 % (19534)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)
% 0.16/0.52 % (19544)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)
% 0.16/0.52 % (19528)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.52 % (19534)Instruction limit reached!
% 0.16/0.52 % (19534)------------------------------
% 0.16/0.52 % (19534)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.52 % (19528)Termination reason: Unknown
% 0.16/0.52 % (19528)Termination phase: Saturation
% 0.16/0.52
% 0.16/0.52 % (19528)Memory used [KB]: 6012
% 0.16/0.52 % (19528)Time elapsed: 0.106 s
% 0.16/0.52 % (19528)Instructions burned: 7 (million)
% 0.16/0.52 % (19528)------------------------------
% 0.16/0.52 % (19528)------------------------------
% 0.16/0.52 % (19534)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.52 % (19534)Termination reason: Unknown
% 0.16/0.52 % (19534)Termination phase: Saturation
% 0.16/0.52
% 0.16/0.52 % (19534)Memory used [KB]: 5884
% 0.16/0.52 % (19534)Time elapsed: 0.112 s
% 0.16/0.52 % (19534)Instructions burned: 2 (million)
% 0.16/0.52 % (19534)------------------------------
% 0.16/0.52 % (19534)------------------------------
% 0.16/0.53 % (19542)First to succeed.
% 0.16/0.54 % (19529)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)
% 0.16/0.54 % (19546)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)
% 0.16/0.55 % (19536)Instruction limit reached!
% 0.16/0.55 % (19536)------------------------------
% 0.16/0.55 % (19536)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.55 % (19536)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.55 % (19536)Termination reason: Unknown
% 0.16/0.55 % (19536)Termination phase: Saturation
% 0.16/0.55
% 0.16/0.55 % (19536)Memory used [KB]: 10490
% 0.16/0.55 % (19536)Time elapsed: 0.129 s
% 0.16/0.55 % (19536)Instructions burned: 28 (million)
% 0.16/0.55 % (19536)------------------------------
% 0.16/0.55 % (19536)------------------------------
% 0.16/0.55 % (19542)Refutation found. Thanks to Tanya!
% 0.16/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.55 % (19542)------------------------------
% 0.16/0.55 % (19542)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.55 % (19542)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.55 % (19542)Termination reason: Refutation
% 0.16/0.55
% 0.16/0.55 % (19542)Memory used [KB]: 6012
% 0.16/0.55 % (19542)Time elapsed: 0.123 s
% 0.16/0.55 % (19542)Instructions burned: 15 (million)
% 0.16/0.55 % (19542)------------------------------
% 0.16/0.55 % (19542)------------------------------
% 0.16/0.55 % (19517)Success in time 0.197 s
%------------------------------------------------------------------------------