TSTP Solution File: HAL003+3 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : HAL003+3 : TPTP v8.1.0. Released v2.6.0.
% 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 : n002.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 16:24:16 EDT 2022
% Result : Theorem 0.20s 0.60s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of formulae : 42 ( 11 unt; 0 def)
% Number of atoms : 121 ( 22 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 134 ( 55 ~; 43 |; 26 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 5 ( 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 : 87 ( 71 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f311,plain,
$false,
inference(subsumption_resolution,[],[f310,f186]) ).
fof(f186,plain,
element(sK3(b,g,e),e),
inference(resolution,[],[f181,f157]) ).
fof(f157,plain,
morphism(g,b,e),
inference(cnf_transformation,[],[f19]) ).
fof(f19,axiom,
morphism(g,b,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',g_morphism) ).
fof(f181,plain,
! [X3,X4] :
( ~ morphism(g,X3,X4)
| element(sK3(X3,g,X4),X4) ),
inference(resolution,[],[f138,f129]) ).
fof(f129,plain,
! [X2,X0,X1] :
( surjection(X1)
| element(sK3(X0,X1,X2),X2)
| ~ morphism(X1,X0,X2) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1,X2] :
( ( element(sK3(X0,X1,X2),X2)
& ! [X4] :
( ~ element(X4,X0)
| sK3(X0,X1,X2) != apply(X1,X4) ) )
| surjection(X1)
| ~ morphism(X1,X0,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f91,f92]) ).
fof(f92,plain,
! [X0,X1,X2] :
( ? [X3] :
( element(X3,X2)
& ! [X4] :
( ~ element(X4,X0)
| apply(X1,X4) != X3 ) )
=> ( element(sK3(X0,X1,X2),X2)
& ! [X4] :
( ~ element(X4,X0)
| sK3(X0,X1,X2) != apply(X1,X4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f91,plain,
! [X0,X1,X2] :
( ? [X3] :
( element(X3,X2)
& ! [X4] :
( ~ element(X4,X0)
| apply(X1,X4) != X3 ) )
| surjection(X1)
| ~ morphism(X1,X0,X2) ),
inference(rectify,[],[f64]) ).
fof(f64,plain,
! [X1,X2,X0] :
( ? [X3] :
( element(X3,X0)
& ! [X4] :
( ~ element(X4,X1)
| apply(X2,X4) != X3 ) )
| surjection(X2)
| ~ morphism(X2,X1,X0) ),
inference(flattening,[],[f63]) ).
fof(f63,plain,
! [X2,X1,X0] :
( surjection(X2)
| ~ morphism(X2,X1,X0)
| ? [X3] :
( element(X3,X0)
& ! [X4] :
( ~ element(X4,X1)
| apply(X2,X4) != X3 ) ) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,plain,
! [X2,X1,X0] :
( ( morphism(X2,X1,X0)
& ! [X3] :
( element(X3,X0)
=> ? [X4] :
( element(X4,X1)
& apply(X2,X4) = X3 ) ) )
=> surjection(X2) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X2,X1,X0] :
( ( morphism(X0,X1,X2)
& ! [X6] :
( element(X6,X2)
=> ? [X7] :
( apply(X0,X7) = X6
& element(X7,X1) ) ) )
=> surjection(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',properties_for_surjection) ).
fof(f138,plain,
~ surjection(g),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
~ surjection(g),
inference(flattening,[],[f35]) ).
fof(f35,negated_conjecture,
~ surjection(g),
inference(negated_conjecture,[],[f34]) ).
fof(f34,conjecture,
surjection(g),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',g_surjection) ).
fof(f310,plain,
~ element(sK3(b,g,e),e),
inference(resolution,[],[f305,f130]) ).
fof(f130,plain,
! [X0] :
( element(sK4(X0),b)
| ~ element(X0,e) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0] :
( ~ element(X0,e)
| ( apply(g,subtract(b,sK4(X0),sK5(X0))) = X0
& element(sK5(X0),b)
& element(sK4(X0),b) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f94,f95]) ).
fof(f95,plain,
! [X0] :
( ? [X1,X2] :
( apply(g,subtract(b,X1,X2)) = X0
& element(X2,b)
& element(X1,b) )
=> ( apply(g,subtract(b,sK4(X0),sK5(X0))) = X0
& element(sK5(X0),b)
& element(sK4(X0),b) ) ),
introduced(choice_axiom,[]) ).
fof(f94,plain,
! [X0] :
( ~ element(X0,e)
| ? [X1,X2] :
( apply(g,subtract(b,X1,X2)) = X0
& element(X2,b)
& element(X1,b) ) ),
inference(rectify,[],[f78]) ).
fof(f78,plain,
! [X0] :
( ~ element(X0,e)
| ? [X2,X1] :
( apply(g,subtract(b,X2,X1)) = X0
& element(X1,b)
& element(X2,b) ) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] :
( element(X0,e)
=> ? [X2,X1] :
( apply(g,subtract(b,X2,X1)) = X0
& element(X1,b)
& element(X2,b) ) ),
inference(rectify,[],[f33]) ).
fof(f33,axiom,
! [X18] :
( element(X18,e)
=> ? [X23,X20] :
( element(X20,b)
& element(X23,b)
& apply(g,subtract(b,X20,X23)) = X18 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma12) ).
fof(f305,plain,
~ element(sK4(sK3(b,g,e)),b),
inference(subsumption_resolution,[],[f304,f186]) ).
fof(f304,plain,
( ~ element(sK4(sK3(b,g,e)),b)
| ~ element(sK3(b,g,e),e) ),
inference(resolution,[],[f271,f131]) ).
fof(f131,plain,
! [X0] :
( element(sK5(X0),b)
| ~ element(X0,e) ),
inference(cnf_transformation,[],[f96]) ).
fof(f271,plain,
( ~ element(sK5(sK3(b,g,e)),b)
| ~ element(sK4(sK3(b,g,e)),b) ),
inference(trivial_inequality_removal,[],[f270]) ).
fof(f270,plain,
( ~ element(sK4(sK3(b,g,e)),b)
| ~ element(sK5(sK3(b,g,e)),b)
| sK3(b,g,e) != sK3(b,g,e) ),
inference(superposition,[],[f213,f187]) ).
fof(f187,plain,
sK3(b,g,e) = apply(g,subtract(b,sK4(sK3(b,g,e)),sK5(sK3(b,g,e)))),
inference(resolution,[],[f186,f132]) ).
fof(f132,plain,
! [X0] :
( ~ element(X0,e)
| apply(g,subtract(b,sK4(X0),sK5(X0))) = X0 ),
inference(cnf_transformation,[],[f96]) ).
fof(f213,plain,
! [X4,X5] :
( sK3(b,g,e) != apply(g,subtract(b,X4,X5))
| ~ element(X4,b)
| ~ element(X5,b) ),
inference(resolution,[],[f202,f158]) ).
fof(f158,plain,
! [X2,X0,X1] :
( element(subtract(X1,X2,X0),X1)
| ~ element(X2,X1)
| ~ element(X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0,X1,X2] :
( ~ element(X0,X1)
| ~ element(X2,X1)
| element(subtract(X1,X2,X0),X1) ),
inference(rectify,[],[f60]) ).
fof(f60,plain,
! [X0,X2,X1] :
( ~ element(X0,X2)
| ~ element(X1,X2)
| element(subtract(X2,X1,X0),X2) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
! [X1,X0,X2] :
( element(subtract(X2,X1,X0),X2)
| ~ element(X0,X2)
| ~ element(X1,X2) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,plain,
! [X1,X0,X2] :
( ( element(X0,X2)
& element(X1,X2) )
=> element(subtract(X2,X1,X0),X2) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X5,X4,X1] :
( ( element(X4,X1)
& element(X5,X1) )
=> element(subtract(X1,X4,X5),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subtract_in_domain) ).
fof(f202,plain,
! [X0] :
( ~ element(X0,b)
| apply(g,X0) != sK3(b,g,e) ),
inference(resolution,[],[f180,f157]) ).
fof(f180,plain,
! [X2,X0,X1] :
( ~ morphism(g,X0,X1)
| apply(g,X2) != sK3(X0,g,X1)
| ~ element(X2,X0) ),
inference(resolution,[],[f138,f128]) ).
fof(f128,plain,
! [X2,X0,X1,X4] :
( surjection(X1)
| ~ morphism(X1,X0,X2)
| ~ element(X4,X0)
| sK3(X0,X1,X2) != apply(X1,X4) ),
inference(cnf_transformation,[],[f93]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : HAL003+3 : TPTP v8.1.0. Released v2.6.0.
% 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 : n002.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 23:05:43 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.53 % (13045)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.53 % (13045)Instruction limit reached!
% 0.20/0.53 % (13045)------------------------------
% 0.20/0.53 % (13045)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (13065)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.54 % (13045)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (13045)Termination reason: Unknown
% 0.20/0.54 % (13045)Termination phase: Property scanning
% 0.20/0.54
% 0.20/0.54 % (13045)Memory used [KB]: 1535
% 0.20/0.54 % (13045)Time elapsed: 0.005 s
% 0.20/0.54 % (13045)Instructions burned: 3 (million)
% 0.20/0.54 % (13045)------------------------------
% 0.20/0.54 % (13045)------------------------------
% 0.20/0.55 % (13054)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.56 % (13054)Instruction limit reached!
% 0.20/0.56 % (13054)------------------------------
% 0.20/0.56 % (13054)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (13054)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (13054)Termination reason: Unknown
% 0.20/0.56 % (13054)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (13054)Memory used [KB]: 6140
% 0.20/0.56 % (13054)Time elapsed: 0.131 s
% 0.20/0.56 % (13054)Instructions burned: 7 (million)
% 0.20/0.56 % (13054)------------------------------
% 0.20/0.56 % (13054)------------------------------
% 0.20/0.56 % (13048)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.57 % (13051)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.57 % (13044)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.57 % (13052)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.58 % (13062)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.58 % (13048)First to succeed.
% 0.20/0.59 % (13062)Refutation not found, incomplete strategy% (13062)------------------------------
% 0.20/0.59 % (13062)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (13043)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.59 % (13047)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.59 % (13062)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (13062)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.59
% 0.20/0.59 % (13062)Memory used [KB]: 6012
% 0.20/0.59 % (13062)Time elapsed: 0.166 s
% 0.20/0.59 % (13062)Instructions burned: 3 (million)
% 0.20/0.59 % (13062)------------------------------
% 0.20/0.59 % (13062)------------------------------
% 0.20/0.59 % (13049)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.59 % (13044)Refutation not found, incomplete strategy% (13044)------------------------------
% 0.20/0.59 % (13044)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (13044)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (13044)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.59
% 0.20/0.59 % (13044)Memory used [KB]: 6012
% 0.20/0.59 % (13044)Time elapsed: 0.166 s
% 0.20/0.59 % (13044)Instructions burned: 3 (million)
% 0.20/0.59 % (13044)------------------------------
% 0.20/0.59 % (13044)------------------------------
% 0.20/0.59 % (13047)Refutation not found, incomplete strategy% (13047)------------------------------
% 0.20/0.59 % (13047)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (13047)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (13047)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.59
% 0.20/0.59 % (13047)Memory used [KB]: 5884
% 0.20/0.59 % (13047)Time elapsed: 0.166 s
% 0.20/0.59 % (13047)------------------------------
% 0.20/0.59 % (13047)------------------------------
% 0.20/0.59 % (13049)Refutation not found, incomplete strategy% (13049)------------------------------
% 0.20/0.59 % (13049)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (13049)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (13049)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.59
% 0.20/0.59 % (13049)Memory used [KB]: 5884
% 0.20/0.59 % (13049)Time elapsed: 0.166 s
% 0.20/0.59 % (13049)Instructions burned: 2 (million)
% 0.20/0.59 % (13049)------------------------------
% 0.20/0.59 % (13049)------------------------------
% 0.20/0.60 % (13048)Refutation found. Thanks to Tanya!
% 0.20/0.60 % SZS status Theorem for theBenchmark
% 0.20/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.60 % (13048)------------------------------
% 0.20/0.60 % (13048)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60 % (13048)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60 % (13048)Termination reason: Refutation
% 0.20/0.60
% 0.20/0.60 % (13048)Memory used [KB]: 1791
% 0.20/0.60 % (13048)Time elapsed: 0.145 s
% 0.20/0.60 % (13048)Instructions burned: 13 (million)
% 0.20/0.60 % (13048)------------------------------
% 0.20/0.60 % (13048)------------------------------
% 0.20/0.60 % (13042)Success in time 0.236 s
%------------------------------------------------------------------------------