TSTP Solution File: HAL003+3 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : HAL003+3 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -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 May 1 02:33:18 EDT 2024
% Result : Theorem 0.65s 0.82s
% Output : Refutation 0.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of formulae : 37 ( 9 unt; 0 def)
% Number of atoms : 109 ( 21 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 123 ( 51 ~; 39 |; 23 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 76 ( 63 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f257,plain,
$false,
inference(subsumption_resolution,[],[f256,f131]) ).
fof(f131,plain,
morphism(g,b,e),
inference(cnf_transformation,[],[f19]) ).
fof(f19,axiom,
morphism(g,b,e),
file('/export/starexec/sandbox2/tmp/tmp.aCU86fZmy2/Vampire---4.8_7065',g_morphism) ).
fof(f256,plain,
~ morphism(g,b,e),
inference(subsumption_resolution,[],[f255,f106]) ).
fof(f106,plain,
~ surjection(g),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
~ surjection(g),
inference(flattening,[],[f35]) ).
fof(f35,negated_conjecture,
~ surjection(g),
inference(negated_conjecture,[],[f34]) ).
fof(f34,conjecture,
surjection(g),
file('/export/starexec/sandbox2/tmp/tmp.aCU86fZmy2/Vampire---4.8_7065',g_surjection) ).
fof(f255,plain,
( surjection(g)
| ~ morphism(g,b,e) ),
inference(resolution,[],[f247,f109]) ).
fof(f109,plain,
! [X2,X0,X1] :
( element(sK0(X0,X1,X2),X2)
| surjection(X0)
| ~ morphism(X0,X1,X2) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1,X2] :
( surjection(X0)
| ( ! [X4] :
( apply(X0,X4) != sK0(X0,X1,X2)
| ~ element(X4,X1) )
& element(sK0(X0,X1,X2),X2) )
| ~ morphism(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f53,f79]) ).
fof(f79,plain,
! [X0,X1,X2] :
( ? [X3] :
( ! [X4] :
( apply(X0,X4) != X3
| ~ element(X4,X1) )
& element(X3,X2) )
=> ( ! [X4] :
( apply(X0,X4) != sK0(X0,X1,X2)
| ~ element(X4,X1) )
& element(sK0(X0,X1,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
! [X0,X1,X2] :
( surjection(X0)
| ? [X3] :
( ! [X4] :
( apply(X0,X4) != X3
| ~ element(X4,X1) )
& element(X3,X2) )
| ~ morphism(X0,X1,X2) ),
inference(flattening,[],[f52]) ).
fof(f52,plain,
! [X0,X1,X2] :
( surjection(X0)
| ? [X3] :
( ! [X4] :
( apply(X0,X4) != X3
| ~ element(X4,X1) )
& element(X3,X2) )
| ~ morphism(X0,X1,X2) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( element(X3,X2)
=> ? [X4] :
( apply(X0,X4) = X3
& element(X4,X1) ) )
& morphism(X0,X1,X2) )
=> surjection(X0) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2] :
( ( ! [X6] :
( element(X6,X2)
=> ? [X7] :
( apply(X0,X7) = X6
& element(X7,X1) ) )
& morphism(X0,X1,X2) )
=> surjection(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.aCU86fZmy2/Vampire---4.8_7065',properties_for_surjection) ).
fof(f247,plain,
~ element(sK0(g,b,e),e),
inference(equality_resolution,[],[f244]) ).
fof(f244,plain,
! [X0] :
( sK0(g,b,e) != X0
| ~ element(X0,e) ),
inference(subsumption_resolution,[],[f243,f128]) ).
fof(f128,plain,
! [X0] :
( element(sK7(X0),b)
| ~ element(X0,e) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0] :
( ( apply(g,subtract(b,sK7(X0),sK8(X0))) = X0
& element(sK8(X0),b)
& element(sK7(X0),b) )
| ~ element(X0,e) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f58,f87]) ).
fof(f87,plain,
! [X0] :
( ? [X1,X2] :
( apply(g,subtract(b,X1,X2)) = X0
& element(X2,b)
& element(X1,b) )
=> ( apply(g,subtract(b,sK7(X0),sK8(X0))) = X0
& element(sK8(X0),b)
& element(sK7(X0),b) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
! [X0] :
( ? [X1,X2] :
( apply(g,subtract(b,X1,X2)) = X0
& element(X2,b)
& element(X1,b) )
| ~ element(X0,e) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0] :
( element(X0,e)
=> ? [X1,X2] :
( apply(g,subtract(b,X1,X2)) = X0
& element(X2,b)
& element(X1,b) ) ),
inference(rectify,[],[f33]) ).
fof(f33,axiom,
! [X18] :
( element(X18,e)
=> ? [X20,X23] :
( apply(g,subtract(b,X20,X23)) = X18
& element(X23,b)
& element(X20,b) ) ),
file('/export/starexec/sandbox2/tmp/tmp.aCU86fZmy2/Vampire---4.8_7065',lemma12) ).
fof(f243,plain,
! [X0] :
( sK0(g,b,e) != X0
| ~ element(X0,e)
| ~ element(sK7(X0),b) ),
inference(subsumption_resolution,[],[f242,f129]) ).
fof(f129,plain,
! [X0] :
( element(sK8(X0),b)
| ~ element(X0,e) ),
inference(cnf_transformation,[],[f88]) ).
fof(f242,plain,
! [X0] :
( sK0(g,b,e) != X0
| ~ element(X0,e)
| ~ element(sK8(X0),b)
| ~ element(sK7(X0),b) ),
inference(resolution,[],[f231,f139]) ).
fof(f139,plain,
! [X2,X0,X1] :
( element(subtract(X0,X1,X2),X0)
| ~ element(X2,X0)
| ~ element(X1,X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0,X1,X2] :
( element(subtract(X0,X1,X2),X0)
| ~ element(X2,X0)
| ~ element(X1,X0) ),
inference(flattening,[],[f64]) ).
fof(f64,plain,
! [X0,X1,X2] :
( element(subtract(X0,X1,X2),X0)
| ~ element(X2,X0)
| ~ element(X1,X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1,X2] :
( ( element(X2,X0)
& element(X1,X0) )
=> element(subtract(X0,X1,X2),X0) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X1,X4,X5] :
( ( element(X5,X1)
& element(X4,X1) )
=> element(subtract(X1,X4,X5),X1) ),
file('/export/starexec/sandbox2/tmp/tmp.aCU86fZmy2/Vampire---4.8_7065',subtract_in_domain) ).
fof(f231,plain,
! [X0] :
( ~ element(subtract(b,sK7(X0),sK8(X0)),b)
| sK0(g,b,e) != X0
| ~ element(X0,e) ),
inference(superposition,[],[f225,f130]) ).
fof(f130,plain,
! [X0] :
( apply(g,subtract(b,sK7(X0),sK8(X0))) = X0
| ~ element(X0,e) ),
inference(cnf_transformation,[],[f88]) ).
fof(f225,plain,
! [X0] :
( apply(g,X0) != sK0(g,b,e)
| ~ element(X0,b) ),
inference(resolution,[],[f224,f131]) ).
fof(f224,plain,
! [X2,X0,X1] :
( ~ morphism(g,X1,X2)
| ~ element(X0,X1)
| apply(g,X0) != sK0(g,X1,X2) ),
inference(resolution,[],[f110,f106]) ).
fof(f110,plain,
! [X2,X0,X1,X4] :
( surjection(X0)
| apply(X0,X4) != sK0(X0,X1,X2)
| ~ element(X4,X1)
| ~ morphism(X0,X1,X2) ),
inference(cnf_transformation,[],[f80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : HAL003+3 : TPTP v8.1.2. Released v2.6.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Apr 30 18:19:14 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.33 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.33 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.aCU86fZmy2/Vampire---4.8_7065
% 0.65/0.81 % (7178)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.65/0.81 % (7177)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.65/0.81 % (7175)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.65/0.81 % (7176)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.65/0.81 % (7174)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.65/0.81 % (7179)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.65/0.81 % (7180)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.65/0.81 % (7178)Refutation not found, incomplete strategy% (7178)------------------------------
% 0.65/0.81 % (7178)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.81 % (7178)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.81
% 0.65/0.81 % (7178)Memory used [KB]: 962
% 0.65/0.81 % (7178)Time elapsed: 0.002 s
% 0.65/0.81 % (7178)Instructions burned: 2 (million)
% 0.65/0.81 % (7178)------------------------------
% 0.65/0.81 % (7178)------------------------------
% 0.65/0.81 % (7173)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.65/0.81 % (7180)Refutation not found, incomplete strategy% (7180)------------------------------
% 0.65/0.81 % (7180)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.81 % (7180)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.81
% 0.65/0.81 % (7180)Memory used [KB]: 962
% 0.65/0.81 % (7180)Time elapsed: 0.002 s
% 0.65/0.81 % (7180)Instructions burned: 2 (million)
% 0.65/0.81 % (7180)------------------------------
% 0.65/0.81 % (7180)------------------------------
% 0.65/0.81 % (7176)Refutation not found, incomplete strategy% (7176)------------------------------
% 0.65/0.81 % (7176)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.81 % (7176)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.81
% 0.65/0.81 % (7176)Memory used [KB]: 961
% 0.65/0.81 % (7176)Time elapsed: 0.004 s
% 0.65/0.81 % (7176)Instructions burned: 2 (million)
% 0.65/0.81 % (7176)------------------------------
% 0.65/0.81 % (7176)------------------------------
% 0.65/0.81 % (7177)Refutation not found, incomplete strategy% (7177)------------------------------
% 0.65/0.81 % (7177)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.81 % (7177)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.81
% 0.65/0.81 % (7177)Memory used [KB]: 1078
% 0.65/0.81 % (7177)Time elapsed: 0.004 s
% 0.65/0.81 % (7177)Instructions burned: 6 (million)
% 0.65/0.81 % (7177)------------------------------
% 0.65/0.81 % (7177)------------------------------
% 0.65/0.81 % (7173)Refutation not found, incomplete strategy% (7173)------------------------------
% 0.65/0.81 % (7173)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.81 % (7173)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.81
% 0.65/0.81 % (7173)Memory used [KB]: 1059
% 0.65/0.81 % (7173)Time elapsed: 0.003 s
% 0.65/0.81 % (7173)Instructions burned: 4 (million)
% 0.65/0.81 % (7173)------------------------------
% 0.65/0.81 % (7173)------------------------------
% 0.65/0.81 % (7181)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.65/0.81 % (7182)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.65/0.81 % (7183)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.65/0.81 % (7184)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.65/0.81 % (7185)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.65/0.82 % (7175)First to succeed.
% 0.65/0.82 % (7183)Refutation not found, incomplete strategy% (7183)------------------------------
% 0.65/0.82 % (7183)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.82 % (7183)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.82
% 0.65/0.82 % (7183)Memory used [KB]: 1062
% 0.65/0.82 % (7183)Time elapsed: 0.004 s
% 0.65/0.82 % (7183)Instructions burned: 5 (million)
% 0.65/0.82 % (7183)------------------------------
% 0.65/0.82 % (7183)------------------------------
% 0.65/0.82 % (7175)Refutation found. Thanks to Tanya!
% 0.65/0.82 % SZS status Theorem for Vampire---4
% 0.65/0.82 % SZS output start Proof for Vampire---4
% See solution above
% 0.65/0.82 % (7175)------------------------------
% 0.65/0.82 % (7175)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.82 % (7175)Termination reason: Refutation
% 0.65/0.82
% 0.65/0.82 % (7175)Memory used [KB]: 1175
% 0.65/0.82 % (7175)Time elapsed: 0.010 s
% 0.65/0.82 % (7175)Instructions burned: 15 (million)
% 0.65/0.82 % (7175)------------------------------
% 0.65/0.82 % (7175)------------------------------
% 0.65/0.82 % (7172)Success in time 0.479 s
% 0.65/0.82 % Vampire---4.8 exiting
%------------------------------------------------------------------------------