TSTP Solution File: SEU208+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU208+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 : n024.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 18:27:26 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 55 ( 6 unt; 0 def)
% Number of atoms : 167 ( 16 equ)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 193 ( 81 ~; 76 |; 12 &)
% ( 17 <=>; 6 =>; 0 <=; 1 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 97 ( 85 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f340,plain,
$false,
inference(avatar_sat_refutation,[],[f123,f128,f134,f155,f337]) ).
fof(f337,plain,
( ~ spl15_1
| ~ spl15_3 ),
inference(avatar_contradiction_clause,[],[f328]) ).
fof(f328,plain,
( $false
| ~ spl15_1
| ~ spl15_3 ),
inference(unit_resulting_resolution,[],[f165,f300]) ).
fof(f300,plain,
( ! [X0] : ~ in(unordered_pair(singleton(X0),unordered_pair(X0,sK7(sK3,sK2,sK1))),sK3)
| ~ spl15_1
| ~ spl15_3 ),
inference(forward_demodulation,[],[f298,f68]) ).
fof(f68,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(f298,plain,
( ! [X0] : ~ in(unordered_pair(unordered_pair(X0,sK7(sK3,sK2,sK1)),singleton(X0)),sK3)
| ~ spl15_1
| ~ spl15_3 ),
inference(unit_resulting_resolution,[],[f60,f260,f108]) ).
fof(f108,plain,
! [X2,X3,X0] :
( ~ in(unordered_pair(unordered_pair(X3,X2),singleton(X3)),X0)
| in(X2,relation_rng(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f103]) ).
fof(f103,plain,
! [X2,X3,X0,X1] :
( in(X2,X1)
| ~ in(unordered_pair(unordered_pair(X3,X2),singleton(X3)),X0)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f79,f70]) ).
fof(f70,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X1,X0] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tarski) ).
fof(f79,plain,
! [X2,X3,X0,X1] :
( in(X2,X1)
| ~ in(ordered_pair(X3,X2),X0)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( ? [X3] : in(ordered_pair(X3,X2),X0)
<=> in(X2,X1) ) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( ? [X3] : in(ordered_pair(X3,X2),X0)
<=> in(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_relat_1) ).
fof(f260,plain,
( ~ in(sK7(sK3,sK2,sK1),relation_rng(sK3))
| ~ spl15_1
| ~ spl15_3 ),
inference(unit_resulting_resolution,[],[f157,f165,f122]) ).
fof(f122,plain,
( ! [X3] :
( ~ in(unordered_pair(singleton(sK1),unordered_pair(sK1,X3)),sK3)
| ~ in(X3,sK2)
| ~ in(X3,relation_rng(sK3)) )
| ~ spl15_3 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f121,plain,
( spl15_3
<=> ! [X3] :
( ~ in(X3,sK2)
| ~ in(unordered_pair(singleton(sK1),unordered_pair(sK1,X3)),sK3)
| ~ in(X3,relation_rng(sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).
fof(f157,plain,
( in(sK7(sK3,sK2,sK1),sK2)
| ~ spl15_1 ),
inference(unit_resulting_resolution,[],[f60,f113,f107]) ).
fof(f107,plain,
! [X2,X3,X0] :
( in(sK7(X0,X2,X3),X2)
| ~ in(X3,relation_inverse_image(X0,X2))
| ~ relation(X0) ),
inference(equality_resolution,[],[f75]) ).
fof(f75,plain,
! [X2,X3,X0,X1] :
( in(sK7(X0,X2,X3),X2)
| ~ in(X3,X1)
| relation_inverse_image(X0,X2) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0] :
( ~ relation(X0)
| ! [X1,X2] :
( relation_inverse_image(X0,X2) = X1
<=> ! [X3] :
( in(X3,X1)
<=> ? [X4] :
( in(ordered_pair(X3,X4),X0)
& in(X4,X2) ) ) ) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0] :
( relation(X0)
=> ! [X1,X2] :
( relation_inverse_image(X0,X2) = X1
<=> ! [X3] :
( in(X3,X1)
<=> ? [X4] :
( in(ordered_pair(X3,X4),X0)
& in(X4,X2) ) ) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( relation(X0)
=> ! [X2,X1] :
( ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(X4,X1)
& in(ordered_pair(X3,X4),X0) ) )
<=> relation_inverse_image(X0,X1) = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d14_relat_1) ).
fof(f113,plain,
( in(sK1,relation_inverse_image(sK3,sK2))
| ~ spl15_1 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f111,plain,
( spl15_1
<=> in(sK1,relation_inverse_image(sK3,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).
fof(f60,plain,
relation(sK3),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
? [X2,X1,X0] :
( ( ? [X3] :
( in(X3,X1)
& in(X3,relation_rng(X0))
& in(ordered_pair(X2,X3),X0) )
<~> in(X2,relation_inverse_image(X0,X1)) )
& relation(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,plain,
~ ! [X0,X2,X1] :
( relation(X0)
=> ( ? [X3] :
( in(X3,X1)
& in(X3,relation_rng(X0))
& in(ordered_pair(X2,X3),X0) )
<=> in(X2,relation_inverse_image(X0,X1)) ) ),
inference(rectify,[],[f27]) ).
fof(f27,negated_conjecture,
~ ! [X2,X1,X0] :
( relation(X2)
=> ( ? [X3] :
( in(ordered_pair(X0,X3),X2)
& in(X3,relation_rng(X2))
& in(X3,X1) )
<=> in(X0,relation_inverse_image(X2,X1)) ) ),
inference(negated_conjecture,[],[f26]) ).
fof(f26,conjecture,
! [X2,X1,X0] :
( relation(X2)
=> ( ? [X3] :
( in(ordered_pair(X0,X3),X2)
& in(X3,relation_rng(X2))
& in(X3,X1) )
<=> in(X0,relation_inverse_image(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t166_relat_1) ).
fof(f165,plain,
( in(unordered_pair(singleton(sK1),unordered_pair(sK1,sK7(sK3,sK2,sK1))),sK3)
| ~ spl15_1 ),
inference(forward_demodulation,[],[f156,f68]) ).
fof(f156,plain,
( in(unordered_pair(unordered_pair(sK1,sK7(sK3,sK2,sK1)),singleton(sK1)),sK3)
| ~ spl15_1 ),
inference(unit_resulting_resolution,[],[f60,f113,f106]) ).
fof(f106,plain,
! [X2,X3,X0] :
( in(unordered_pair(unordered_pair(X3,sK7(X0,X2,X3)),singleton(X3)),X0)
| ~ in(X3,relation_inverse_image(X0,X2))
| ~ relation(X0) ),
inference(equality_resolution,[],[f98]) ).
fof(f98,plain,
! [X2,X3,X0,X1] :
( in(unordered_pair(unordered_pair(X3,sK7(X0,X2,X3)),singleton(X3)),X0)
| ~ in(X3,X1)
| relation_inverse_image(X0,X2) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f76,f70]) ).
fof(f76,plain,
! [X2,X3,X0,X1] :
( in(ordered_pair(X3,sK7(X0,X2,X3)),X0)
| ~ in(X3,X1)
| relation_inverse_image(X0,X2) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f155,plain,
( ~ spl15_5
| spl15_1
| ~ spl15_4 ),
inference(avatar_split_clause,[],[f154,f125,f111,f131]) ).
fof(f131,plain,
( spl15_5
<=> in(unordered_pair(singleton(sK1),unordered_pair(sK1,sK4)),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_5])]) ).
fof(f125,plain,
( spl15_4
<=> in(sK4,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).
fof(f154,plain,
( ~ in(unordered_pair(singleton(sK1),unordered_pair(sK1,sK4)),sK3)
| spl15_1
| ~ spl15_4 ),
inference(forward_demodulation,[],[f153,f68]) ).
fof(f153,plain,
( ~ in(unordered_pair(unordered_pair(sK1,sK4),singleton(sK1)),sK3)
| spl15_1
| ~ spl15_4 ),
inference(unit_resulting_resolution,[],[f60,f127,f112,f105]) ).
fof(f105,plain,
! [X2,X3,X0,X4] :
( ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X0)
| in(X3,relation_inverse_image(X0,X2))
| ~ in(X4,X2)
| ~ relation(X0) ),
inference(equality_resolution,[],[f97]) ).
fof(f97,plain,
! [X2,X3,X0,X1,X4] :
( ~ in(X4,X2)
| ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X0)
| in(X3,X1)
| relation_inverse_image(X0,X2) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f77,f70]) ).
fof(f77,plain,
! [X2,X3,X0,X1,X4] :
( ~ in(X4,X2)
| ~ in(ordered_pair(X3,X4),X0)
| in(X3,X1)
| relation_inverse_image(X0,X2) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f112,plain,
( ~ in(sK1,relation_inverse_image(sK3,sK2))
| spl15_1 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f127,plain,
( in(sK4,sK2)
| ~ spl15_4 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f134,plain,
( spl15_5
| spl15_1 ),
inference(avatar_split_clause,[],[f129,f111,f131]) ).
fof(f129,plain,
( in(sK1,relation_inverse_image(sK3,sK2))
| in(unordered_pair(singleton(sK1),unordered_pair(sK1,sK4)),sK3) ),
inference(forward_demodulation,[],[f94,f68]) ).
fof(f94,plain,
( in(sK1,relation_inverse_image(sK3,sK2))
| in(unordered_pair(unordered_pair(sK1,sK4),singleton(sK1)),sK3) ),
inference(definition_unfolding,[],[f57,f70]) ).
fof(f57,plain,
( in(sK1,relation_inverse_image(sK3,sK2))
| in(ordered_pair(sK1,sK4),sK3) ),
inference(cnf_transformation,[],[f51]) ).
fof(f128,plain,
( spl15_4
| spl15_1 ),
inference(avatar_split_clause,[],[f59,f111,f125]) ).
fof(f59,plain,
( in(sK1,relation_inverse_image(sK3,sK2))
| in(sK4,sK2) ),
inference(cnf_transformation,[],[f51]) ).
fof(f123,plain,
( spl15_3
| ~ spl15_1 ),
inference(avatar_split_clause,[],[f119,f111,f121]) ).
fof(f119,plain,
! [X3] :
( ~ in(sK1,relation_inverse_image(sK3,sK2))
| ~ in(X3,sK2)
| ~ in(X3,relation_rng(sK3))
| ~ in(unordered_pair(singleton(sK1),unordered_pair(sK1,X3)),sK3) ),
inference(forward_demodulation,[],[f95,f68]) ).
fof(f95,plain,
! [X3] :
( ~ in(X3,relation_rng(sK3))
| ~ in(sK1,relation_inverse_image(sK3,sK2))
| ~ in(X3,sK2)
| ~ in(unordered_pair(unordered_pair(sK1,X3),singleton(sK1)),sK3) ),
inference(definition_unfolding,[],[f56,f70]) ).
fof(f56,plain,
! [X3] :
( ~ in(sK1,relation_inverse_image(sK3,sK2))
| ~ in(ordered_pair(sK1,X3),sK3)
| ~ in(X3,relation_rng(sK3))
| ~ in(X3,sK2) ),
inference(cnf_transformation,[],[f51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU208+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13 % 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 : n024.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 : Tue Aug 30 14:53:34 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (24252)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)
% 0.19/0.49 % (24259)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.49 % (24259)Instruction limit reached!
% 0.19/0.49 % (24259)------------------------------
% 0.19/0.49 % (24259)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (24252)First to succeed.
% 0.19/0.50 % (24259)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (24259)Termination reason: Unknown
% 0.19/0.50 % (24259)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (24259)Memory used [KB]: 6012
% 0.19/0.50 % (24259)Time elapsed: 0.092 s
% 0.19/0.50 % (24259)Instructions burned: 7 (million)
% 0.19/0.50 % (24259)------------------------------
% 0.19/0.50 % (24259)------------------------------
% 0.19/0.50 % (24267)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.51 % (24246)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)
% 0.19/0.51 % (24268)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (24248)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)
% 0.19/0.51 % (24252)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (24252)------------------------------
% 0.19/0.51 % (24252)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (24252)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (24252)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (24252)Memory used [KB]: 6140
% 0.19/0.51 % (24252)Time elapsed: 0.096 s
% 0.19/0.51 % (24252)Instructions burned: 12 (million)
% 0.19/0.51 % (24252)------------------------------
% 0.19/0.51 % (24252)------------------------------
% 0.19/0.51 % (24243)Success in time 0.159 s
%------------------------------------------------------------------------------