TSTP Solution File: SET734+4 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET734+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 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 : n013.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 18:22:02 EDT 2022
% Result : Theorem 0.16s 0.48s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 7
% Syntax : Number of formulae : 44 ( 4 unt; 0 def)
% Number of atoms : 178 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 199 ( 65 ~; 56 |; 54 &)
% ( 8 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-5 aty)
% Number of variables : 167 ( 139 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f233,plain,
$false,
inference(subsumption_resolution,[],[f232,f170]) ).
fof(f170,plain,
~ surjective(sK8,sK7,sK9),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
( maps(sK8,sK7,sK9)
& identity(compose_function(sK8,sK10,sK9,sK7,sK9),sK9)
& maps(sK10,sK9,sK7)
& ~ surjective(sK8,sK7,sK9) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9,sK10])],[f114,f115]) ).
fof(f115,plain,
( ? [X0,X1,X2,X3] :
( maps(X1,X0,X2)
& identity(compose_function(X1,X3,X2,X0,X2),X2)
& maps(X3,X2,X0)
& ~ surjective(X1,X0,X2) )
=> ( maps(sK8,sK7,sK9)
& identity(compose_function(sK8,sK10,sK9,sK7,sK9),sK9)
& maps(sK10,sK9,sK7)
& ~ surjective(sK8,sK7,sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f114,plain,
? [X0,X1,X2,X3] :
( maps(X1,X0,X2)
& identity(compose_function(X1,X3,X2,X0,X2),X2)
& maps(X3,X2,X0)
& ~ surjective(X1,X0,X2) ),
inference(rectify,[],[f74]) ).
fof(f74,plain,
? [X0,X2,X1,X3] :
( maps(X2,X0,X1)
& identity(compose_function(X2,X3,X1,X0,X1),X1)
& maps(X3,X1,X0)
& ~ surjective(X2,X0,X1) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
? [X1,X3,X2,X0] :
( ~ surjective(X2,X0,X1)
& maps(X3,X1,X0)
& maps(X2,X0,X1)
& identity(compose_function(X2,X3,X1,X0,X1),X1) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,plain,
~ ! [X1,X3,X2,X0] :
( ( maps(X3,X1,X0)
& maps(X2,X0,X1)
& identity(compose_function(X2,X3,X1,X0,X1),X1) )
=> surjective(X2,X0,X1) ),
inference(rectify,[],[f30]) ).
fof(f30,negated_conjecture,
~ ! [X0,X1,X9,X5] :
( ( maps(X9,X0,X1)
& maps(X5,X1,X0)
& identity(compose_function(X9,X5,X1,X0,X1),X1) )
=> surjective(X9,X0,X1) ),
inference(negated_conjecture,[],[f29]) ).
fof(f29,conjecture,
! [X0,X1,X9,X5] :
( ( maps(X9,X0,X1)
& maps(X5,X1,X0)
& identity(compose_function(X9,X5,X1,X0,X1),X1) )
=> surjective(X9,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thII25) ).
fof(f232,plain,
surjective(sK8,sK7,sK9),
inference(duplicate_literal_removal,[],[f231]) ).
fof(f231,plain,
( surjective(sK8,sK7,sK9)
| surjective(sK8,sK7,sK9) ),
inference(resolution,[],[f222,f175]) ).
fof(f175,plain,
! [X2,X0,X1] :
( member(sK11(X0,X1,X2),X1)
| surjective(X2,X0,X1) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1,X2] :
( surjective(X2,X0,X1)
| ( member(sK11(X0,X1,X2),X1)
& ! [X4] :
( ~ member(X4,X0)
| ~ apply(X2,X4,sK11(X0,X1,X2)) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f67,f117]) ).
fof(f117,plain,
! [X0,X1,X2] :
( ? [X3] :
( member(X3,X1)
& ! [X4] :
( ~ member(X4,X0)
| ~ apply(X2,X4,X3) ) )
=> ( member(sK11(X0,X1,X2),X1)
& ! [X4] :
( ~ member(X4,X0)
| ~ apply(X2,X4,sK11(X0,X1,X2)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f67,plain,
! [X0,X1,X2] :
( surjective(X2,X0,X1)
| ? [X3] :
( member(X3,X1)
& ! [X4] :
( ~ member(X4,X0)
| ~ apply(X2,X4,X3) ) ) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,plain,
! [X2,X0,X1] :
( ! [X3] :
( member(X3,X1)
=> ? [X4] :
( member(X4,X0)
& apply(X2,X4,X3) ) )
=> surjective(X2,X0,X1) ),
inference(unused_predicate_definition_removal,[],[f38]) ).
fof(f38,plain,
! [X2,X0,X1] :
( ! [X3] :
( member(X3,X1)
=> ? [X4] :
( member(X4,X0)
& apply(X2,X4,X3) ) )
<=> surjective(X2,X0,X1) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X0,X1,X5] :
( surjective(X5,X0,X1)
<=> ! [X4] :
( member(X4,X1)
=> ? [X3] :
( apply(X5,X3,X4)
& member(X3,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',surjective) ).
fof(f222,plain,
! [X0] :
( ~ member(sK11(sK7,X0,sK8),sK9)
| surjective(sK8,sK7,X0) ),
inference(duplicate_literal_removal,[],[f221]) ).
fof(f221,plain,
! [X0] :
( ~ member(sK11(sK7,X0,sK8),sK9)
| surjective(sK8,sK7,X0)
| ~ member(sK11(sK7,X0,sK8),sK9) ),
inference(resolution,[],[f218,f210]) ).
fof(f210,plain,
! [X0] :
( member(sK13(sK7,sK10,X0,X0,sK8),sK7)
| ~ member(X0,sK9) ),
inference(duplicate_literal_removal,[],[f209]) ).
fof(f209,plain,
! [X0] :
( ~ member(X0,sK9)
| member(sK13(sK7,sK10,X0,X0,sK8),sK7)
| ~ member(X0,sK9)
| ~ member(X0,sK9) ),
inference(resolution,[],[f187,f198]) ).
fof(f198,plain,
! [X0] :
( apply(compose_function(sK8,sK10,sK9,sK7,sK9),X0,X0)
| ~ member(X0,sK9) ),
inference(resolution,[],[f159,f172]) ).
fof(f172,plain,
identity(compose_function(sK8,sK10,sK9,sK7,sK9),sK9),
inference(cnf_transformation,[],[f116]) ).
fof(f159,plain,
! [X2,X0,X1] :
( ~ identity(X0,X1)
| ~ member(X2,X1)
| apply(X0,X2,X2) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( ~ identity(X0,X1)
| ! [X2] :
( apply(X0,X2,X2)
| ~ member(X2,X1) ) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( identity(X0,X1)
=> ! [X2] :
( member(X2,X1)
=> apply(X0,X2,X2) ) ),
inference(unused_predicate_definition_removal,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( identity(X0,X1)
<=> ! [X2] :
( member(X2,X1)
=> apply(X0,X2,X2) ) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X5,X0] :
( identity(X5,X0)
<=> ! [X2] :
( member(X2,X0)
=> apply(X5,X2,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
fof(f187,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ apply(compose_function(X6,X1,X5,X0,X2),X3,X4)
| member(sK13(X0,X1,X3,X4,X6),X0)
| ~ member(X4,X2)
| ~ member(X3,X5) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ( ( apply(X1,X3,sK13(X0,X1,X3,X4,X6))
& member(sK13(X0,X1,X3,X4,X6),X0)
& apply(X6,sK13(X0,X1,X3,X4,X6),X4) )
| ~ apply(compose_function(X6,X1,X5,X0,X2),X3,X4) )
& ( apply(compose_function(X6,X1,X5,X0,X2),X3,X4)
| ! [X8] :
( ~ apply(X1,X3,X8)
| ~ member(X8,X0)
| ~ apply(X6,X8,X4) ) ) )
| ~ member(X4,X2)
| ~ member(X3,X5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f130,f131]) ).
fof(f131,plain,
! [X0,X1,X3,X4,X6] :
( ? [X7] :
( apply(X1,X3,X7)
& member(X7,X0)
& apply(X6,X7,X4) )
=> ( apply(X1,X3,sK13(X0,X1,X3,X4,X6))
& member(sK13(X0,X1,X3,X4,X6),X0)
& apply(X6,sK13(X0,X1,X3,X4,X6),X4) ) ),
introduced(choice_axiom,[]) ).
fof(f130,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ( ? [X7] :
( apply(X1,X3,X7)
& member(X7,X0)
& apply(X6,X7,X4) )
| ~ apply(compose_function(X6,X1,X5,X0,X2),X3,X4) )
& ( apply(compose_function(X6,X1,X5,X0,X2),X3,X4)
| ! [X8] :
( ~ apply(X1,X3,X8)
| ~ member(X8,X0)
| ~ apply(X6,X8,X4) ) ) )
| ~ member(X4,X2)
| ~ member(X3,X5) ),
inference(rectify,[],[f129]) ).
fof(f129,plain,
! [X4,X6,X0,X1,X3,X2,X5] :
( ( ( ? [X7] :
( apply(X6,X1,X7)
& member(X7,X4)
& apply(X5,X7,X3) )
| ~ apply(compose_function(X5,X6,X2,X4,X0),X1,X3) )
& ( apply(compose_function(X5,X6,X2,X4,X0),X1,X3)
| ! [X7] :
( ~ apply(X6,X1,X7)
| ~ member(X7,X4)
| ~ apply(X5,X7,X3) ) ) )
| ~ member(X3,X0)
| ~ member(X1,X2) ),
inference(nnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X4,X6,X0,X1,X3,X2,X5] :
( ( ? [X7] :
( apply(X6,X1,X7)
& member(X7,X4)
& apply(X5,X7,X3) )
<=> apply(compose_function(X5,X6,X2,X4,X0),X1,X3) )
| ~ member(X3,X0)
| ~ member(X1,X2) ),
inference(flattening,[],[f69]) ).
fof(f69,plain,
! [X6,X2,X5,X0,X3,X1,X4] :
( ( ? [X7] :
( apply(X6,X1,X7)
& member(X7,X4)
& apply(X5,X7,X3) )
<=> apply(compose_function(X5,X6,X2,X4,X0),X1,X3) )
| ~ member(X1,X2)
| ~ member(X3,X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,plain,
! [X6,X2,X5,X0,X3,X1,X4] :
( ( member(X1,X2)
& member(X3,X0) )
=> ( ? [X7] :
( apply(X6,X1,X7)
& member(X7,X4)
& apply(X5,X7,X3) )
<=> apply(compose_function(X5,X6,X2,X4,X0),X1,X3) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X10,X2,X0,X11,X1,X9,X5] :
( ( member(X11,X10)
& member(X2,X0) )
=> ( apply(compose_function(X9,X5,X0,X1,X10),X2,X11)
<=> ? [X4] :
( apply(X9,X4,X11)
& apply(X5,X2,X4)
& member(X4,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compose_function) ).
fof(f218,plain,
! [X0,X1] :
( ~ member(sK13(sK7,sK10,sK11(X0,X1,sK8),sK11(X0,X1,sK8),sK8),X0)
| surjective(sK8,X0,X1)
| ~ member(sK11(X0,X1,sK8),sK9) ),
inference(resolution,[],[f212,f174]) ).
fof(f174,plain,
! [X2,X0,X1,X4] :
( ~ apply(X2,X4,sK11(X0,X1,X2))
| surjective(X2,X0,X1)
| ~ member(X4,X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f212,plain,
! [X0] :
( apply(sK8,sK13(sK7,sK10,X0,X0,sK8),X0)
| ~ member(X0,sK9) ),
inference(duplicate_literal_removal,[],[f211]) ).
fof(f211,plain,
! [X0] :
( ~ member(X0,sK9)
| apply(sK8,sK13(sK7,sK10,X0,X0,sK8),X0)
| ~ member(X0,sK9)
| ~ member(X0,sK9) ),
inference(resolution,[],[f186,f198]) ).
fof(f186,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ apply(compose_function(X6,X1,X5,X0,X2),X3,X4)
| apply(X6,sK13(X0,X1,X3,X4,X6),X4)
| ~ member(X4,X2)
| ~ member(X3,X5) ),
inference(cnf_transformation,[],[f132]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SET734+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.10/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.31 % Computer : n013.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Tue Aug 30 14:12:17 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.16/0.45 % (7225)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)
% 0.16/0.45 % (7209)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)
% 0.16/0.46 % (7203)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)
% 0.16/0.46 % (7203)Instruction limit reached!
% 0.16/0.46 % (7203)------------------------------
% 0.16/0.46 % (7203)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.46 % (7203)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.46 % (7203)Termination reason: Unknown
% 0.16/0.46 % (7203)Termination phase: Saturation
% 0.16/0.46
% 0.16/0.46 % (7203)Memory used [KB]: 1535
% 0.16/0.46 % (7203)Time elapsed: 0.003 s
% 0.16/0.46 % (7203)Instructions burned: 4 (million)
% 0.16/0.46 % (7203)------------------------------
% 0.16/0.46 % (7203)------------------------------
% 0.16/0.47 % (7201)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.16/0.47 % (7225)First to succeed.
% 0.16/0.48 % (7225)Refutation found. Thanks to Tanya!
% 0.16/0.48 % SZS status Theorem for theBenchmark
% 0.16/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.48 % (7225)------------------------------
% 0.16/0.48 % (7225)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.48 % (7225)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.48 % (7225)Termination reason: Refutation
% 0.16/0.48
% 0.16/0.48 % (7225)Memory used [KB]: 6140
% 0.16/0.48 % (7225)Time elapsed: 0.098 s
% 0.16/0.48 % (7225)Instructions burned: 6 (million)
% 0.16/0.48 % (7225)------------------------------
% 0.16/0.48 % (7225)------------------------------
% 0.16/0.48 % (7200)Success in time 0.16 s
%------------------------------------------------------------------------------