TSTP Solution File: SEU247+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU247+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : 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 18:27:56 EDT 2022
% Result : Theorem 0.20s 0.57s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 5 unt; 0 def)
% Number of atoms : 39 ( 19 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 35 ( 17 ~; 7 |; 4 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 31 ( 27 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f45,plain,
$false,
inference(subsumption_resolution,[],[f44,f32]) ).
fof(f32,plain,
relation(sK1),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
( relation(sK1)
& relation_rng_restriction(sK0,relation_dom_restriction(sK1,sK0)) != relation_restriction(sK1,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f17,f25]) ).
fof(f25,plain,
( ? [X0,X1] :
( relation(X1)
& relation_restriction(X1,X0) != relation_rng_restriction(X0,relation_dom_restriction(X1,X0)) )
=> ( relation(sK1)
& relation_rng_restriction(sK0,relation_dom_restriction(sK1,sK0)) != relation_restriction(sK1,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
? [X0,X1] :
( relation(X1)
& relation_restriction(X1,X0) != relation_rng_restriction(X0,relation_dom_restriction(X1,X0)) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,negated_conjecture,
~ ! [X1,X0] :
( relation(X1)
=> relation_restriction(X1,X0) = relation_rng_restriction(X0,relation_dom_restriction(X1,X0)) ),
inference(negated_conjecture,[],[f11]) ).
fof(f11,conjecture,
! [X1,X0] :
( relation(X1)
=> relation_restriction(X1,X0) = relation_rng_restriction(X0,relation_dom_restriction(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_wellord1) ).
fof(f44,plain,
~ relation(sK1),
inference(trivial_inequality_removal,[],[f43]) ).
fof(f43,plain,
( ~ relation(sK1)
| relation_restriction(sK1,sK0) != relation_restriction(sK1,sK0) ),
inference(superposition,[],[f40,f30]) ).
fof(f30,plain,
! [X0,X1] :
( relation_restriction(X0,X1) = relation_dom_restriction(relation_rng_restriction(X1,X0),X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1] :
( relation_restriction(X0,X1) = relation_dom_restriction(relation_rng_restriction(X1,X0),X1)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0,X1] :
( relation(X0)
=> relation_restriction(X0,X1) = relation_dom_restriction(relation_rng_restriction(X1,X0),X1) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X1,X0] :
( relation(X1)
=> relation_restriction(X1,X0) = relation_dom_restriction(relation_rng_restriction(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_wellord1) ).
fof(f40,plain,
relation_dom_restriction(relation_rng_restriction(sK0,sK1),sK0) != relation_restriction(sK1,sK0),
inference(subsumption_resolution,[],[f36,f32]) ).
fof(f36,plain,
( relation_dom_restriction(relation_rng_restriction(sK0,sK1),sK0) != relation_restriction(sK1,sK0)
| ~ relation(sK1) ),
inference(superposition,[],[f31,f29]) ).
fof(f29,plain,
! [X2,X0,X1] :
( relation_dom_restriction(relation_rng_restriction(X1,X0),X2) = relation_rng_restriction(X1,relation_dom_restriction(X0,X2))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1,X2] :
( relation_dom_restriction(relation_rng_restriction(X1,X0),X2) = relation_rng_restriction(X1,relation_dom_restriction(X0,X2))
| ~ relation(X0) ),
inference(rectify,[],[f20]) ).
fof(f20,plain,
! [X1,X0,X2] :
( relation_rng_restriction(X0,relation_dom_restriction(X1,X2)) = relation_dom_restriction(relation_rng_restriction(X0,X1),X2)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,plain,
! [X2,X1,X0] :
( relation(X1)
=> relation_rng_restriction(X0,relation_dom_restriction(X1,X2)) = relation_dom_restriction(relation_rng_restriction(X0,X1),X2) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X0,X2,X1] :
( relation(X2)
=> relation_dom_restriction(relation_rng_restriction(X0,X2),X1) = relation_rng_restriction(X0,relation_dom_restriction(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t140_relat_1) ).
fof(f31,plain,
relation_rng_restriction(sK0,relation_dom_restriction(sK1,sK0)) != relation_restriction(sK1,sK0),
inference(cnf_transformation,[],[f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU247+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n015.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 15:08:51 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.56 % (6141)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.56 % (6129)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)
% 0.20/0.56 % (6133)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)
% 0.20/0.56 % (6141)Instruction limit reached!
% 0.20/0.56 % (6141)------------------------------
% 0.20/0.56 % (6141)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (6133)First to succeed.
% 0.20/0.56 % (6141)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (6141)Termination reason: Unknown
% 0.20/0.56 % (6141)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (6141)Memory used [KB]: 5884
% 0.20/0.56 % (6141)Time elapsed: 0.135 s
% 0.20/0.56 % (6141)Instructions burned: 3 (million)
% 0.20/0.56 % (6141)------------------------------
% 0.20/0.56 % (6141)------------------------------
% 0.20/0.57 % (6132)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 % (6133)Refutation found. Thanks to Tanya!
% 0.20/0.57 % SZS status Theorem for theBenchmark
% 0.20/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.57 % (6133)------------------------------
% 0.20/0.57 % (6133)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (6133)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (6133)Termination reason: Refutation
% 0.20/0.57
% 0.20/0.57 % (6133)Memory used [KB]: 5884
% 0.20/0.57 % (6133)Time elapsed: 0.138 s
% 0.20/0.57 % (6133)Instructions burned: 2 (million)
% 0.20/0.57 % (6133)------------------------------
% 0.20/0.57 % (6133)------------------------------
% 0.20/0.57 % (6126)Success in time 0.213 s
%------------------------------------------------------------------------------