TSTP Solution File: HEN009-4 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : HEN009-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : n015.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 16:24:27 EDT 2022
% Result : Unsatisfiable 1.45s 0.53s
% Output : Refutation 1.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 28 ( 7 unt; 1 typ; 0 def)
% Number of atoms : 172 ( 3 equ)
% Maximal formula atoms : 3 ( 6 avg)
% Number of connectives : 44 ( 22 ~; 19 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 123 ( 123 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 21 ( 20 !; 0 ?; 21 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_2,type,
sQ0_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f84,plain,
$false,
inference(avatar_sat_refutation,[],[f60,f61,f83]) ).
tff(f83,plain,
spl1_2,
inference(avatar_contradiction_clause,[],[f82]) ).
tff(f82,plain,
( $false
| spl1_2 ),
inference(subsumption_resolution,[],[f78,f7]) ).
tff(f7,axiom,
! [X0: $i] : less_equal(X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_is_largest) ).
tff(f78,plain,
( ~ less_equal(identity,identity)
| spl1_2 ),
inference(resolution,[],[f74,f15]) ).
tff(f15,axiom,
! [X2: $i,X0: $i,X1: $i] :
( ~ less_equal(X0,X1)
| less_equal(divide(X0,X2),divide(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_divide3) ).
tff(f74,plain,
( ~ less_equal(divide(identity,a),divide(identity,a))
| spl1_2 ),
inference(resolution,[],[f70,f13]) ).
tff(f13,axiom,
! [X2: $i,X0: $i,X1: $i] :
( less_equal(divide(X0,X2),X1)
| ~ less_equal(divide(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_divide1) ).
tff(f70,plain,
( ~ less_equal(divide(identity,divide(identity,a)),a)
| spl1_2 ),
inference(resolution,[],[f39,f14]) ).
tff(f14,axiom,
! [X2: $i,X0: $i,X1: $i] :
( less_equal(divide(X2,X1),divide(X2,X0))
| ~ less_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_divide2) ).
tff(f39,plain,
( ~ less_equal(divide(identity,a),divide(identity,divide(identity,divide(identity,a))))
| spl1_2 ),
inference(avatar_component_clause,[],[f37]) ).
tff(f37,plain,
( spl1_2
<=> less_equal(divide(identity,a),divide(identity,divide(identity,divide(identity,a)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
tff(f61,plain,
( ~ spl1_2
| ~ spl1_1 ),
inference(avatar_split_clause,[],[f45,f33,f37]) ).
tff(f33,plain,
( spl1_1
<=> less_equal(divide(identity,divide(identity,divide(identity,a))),divide(identity,a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
tff(f45,plain,
( ~ less_equal(divide(identity,divide(identity,divide(identity,a))),divide(identity,a))
| ~ less_equal(divide(identity,a),divide(identity,divide(identity,divide(identity,a)))) ),
inference(resolution,[],[f30,f19]) ).
tff(f19,plain,
! [X0: $i,X1: $i] :
( ~ less_equal(X0,X1)
| ~ less_equal(X1,X0)
| sQ0_eqProxy($i,X0,X1) ),
inference(equality_proxy_replacement,[],[f6,f17]) ).
tff(f17,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ0_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).
tff(f6,axiom,
! [X0: $i,X1: $i] :
( ~ less_equal(X1,X0)
| ( X0 = X1 )
| ~ less_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_equal_and_equal) ).
tff(f30,plain,
~ sQ0_eqProxy($i,divide(identity,divide(identity,divide(identity,a))),divide(identity,a)),
inference(resolution,[],[f23,f27]) ).
tff(f27,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ0_eqProxy(X0,X2,X1)
| ~ sQ0_eqProxy(X0,X1,X2) ),
inference(equality_proxy_axiom,[],[f17]) ).
tff(f23,plain,
~ sQ0_eqProxy($i,divide(identity,a),divide(identity,divide(identity,divide(identity,a)))),
inference(equality_proxy_replacement,[],[f16,f17]) ).
tff(f16,axiom,
divide(identity,a) != divide(identity,divide(identity,divide(identity,a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
tff(f60,plain,
spl1_1,
inference(avatar_contradiction_clause,[],[f59]) ).
tff(f59,plain,
( $false
| spl1_1 ),
inference(subsumption_resolution,[],[f55,f7]) ).
tff(f55,plain,
( ~ less_equal(identity,identity)
| spl1_1 ),
inference(resolution,[],[f42,f15]) ).
tff(f42,plain,
( ~ less_equal(divide(identity,divide(identity,a)),divide(identity,divide(identity,a)))
| spl1_1 ),
inference(resolution,[],[f35,f13]) ).
tff(f35,plain,
( ~ less_equal(divide(identity,divide(identity,divide(identity,a))),divide(identity,a))
| spl1_1 ),
inference(avatar_component_clause,[],[f33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : HEN009-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13 % 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 : n015.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 23:06:05 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.51 % (9414)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.51 % (9421)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)
% 1.25/0.52 % (9423)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)
% 1.25/0.52 % (9424)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)
% 1.25/0.52 % (9414)Refutation not found, incomplete strategy% (9414)------------------------------
% 1.25/0.52 % (9414)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.25/0.53 % (9431)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)
% 1.25/0.53 % (9414)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.25/0.53 % (9414)Termination reason: Refutation not found, incomplete strategy
% 1.25/0.53
% 1.25/0.53 % (9414)Memory used [KB]: 1279
% 1.25/0.53 % (9414)Time elapsed: 0.113 s
% 1.25/0.53 % (9414)Instructions burned: 2 (million)
% 1.25/0.53 % (9414)------------------------------
% 1.25/0.53 % (9414)------------------------------
% 1.25/0.53 % (9435)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)
% 1.25/0.53 % (9415)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)
% 1.25/0.53 % (9438)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 1.25/0.53 % (9416)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)
% 1.25/0.53 % (9415)Refutation not found, incomplete strategy% (9415)------------------------------
% 1.25/0.53 % (9415)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.25/0.53 % (9415)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.25/0.53 % (9415)Termination reason: Refutation not found, incomplete strategy
% 1.25/0.53
% 1.25/0.53 % (9415)Memory used [KB]: 5756
% 1.25/0.53 % (9415)Time elapsed: 0.123 s
% 1.25/0.53 % (9415)Instructions burned: 2 (million)
% 1.25/0.53 % (9415)------------------------------
% 1.25/0.53 % (9415)------------------------------
% 1.25/0.53 % (9442)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.25/0.53 % (9442)Refutation not found, incomplete strategy% (9442)------------------------------
% 1.25/0.53 % (9442)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.25/0.53 % (9442)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.25/0.53 % (9442)Termination reason: Refutation not found, incomplete strategy
% 1.25/0.53
% 1.25/0.53 % (9442)Memory used [KB]: 5756
% 1.25/0.53 % (9442)Time elapsed: 0.127 s
% 1.25/0.53 % (9442)Instructions burned: 2 (million)
% 1.25/0.53 % (9442)------------------------------
% 1.25/0.53 % (9442)------------------------------
% 1.25/0.53 % (9418)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.25/0.53 % (9417)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 1.25/0.53 % (9441)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)
% 1.25/0.53 % (9439)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)
% 1.25/0.53 % (9417)Refutation not found, incomplete strategy% (9417)------------------------------
% 1.25/0.53 % (9417)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.25/0.53 % (9417)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.25/0.53 % (9417)Termination reason: Refutation not found, incomplete strategy
% 1.25/0.53
% 1.25/0.53 % (9417)Memory used [KB]: 5756
% 1.25/0.53 % (9417)Time elapsed: 0.125 s
% 1.25/0.53 % (9417)Instructions burned: 2 (million)
% 1.25/0.53 % (9417)------------------------------
% 1.25/0.53 % (9417)------------------------------
% 1.25/0.53 % (9421)First to succeed.
% 1.45/0.53 % (9427)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)
% 1.45/0.53 % (9439)Refutation not found, incomplete strategy% (9439)------------------------------
% 1.45/0.53 % (9439)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.53 % (9439)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.53 % (9439)Termination reason: Refutation not found, incomplete strategy
% 1.45/0.53
% 1.45/0.53 % (9439)Memory used [KB]: 5756
% 1.45/0.53 % (9439)Time elapsed: 0.125 s
% 1.45/0.53 % (9439)Instructions burned: 2 (million)
% 1.45/0.53 % (9439)------------------------------
% 1.45/0.53 % (9439)------------------------------
% 1.45/0.53 % (9421)Refutation found. Thanks to Tanya!
% 1.45/0.53 % SZS status Unsatisfiable for theBenchmark
% 1.45/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.45/0.53 % (9421)------------------------------
% 1.45/0.53 % (9421)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.53 % (9421)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.53 % (9421)Termination reason: Refutation
% 1.45/0.53
% 1.45/0.53 % (9421)Memory used [KB]: 5884
% 1.45/0.53 % (9421)Time elapsed: 0.127 s
% 1.45/0.53 % (9421)Instructions burned: 2 (million)
% 1.45/0.53 % (9421)------------------------------
% 1.45/0.53 % (9421)------------------------------
% 1.45/0.53 % (9411)Success in time 0.181 s
%------------------------------------------------------------------------------