TSTP Solution File: SEU090+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU090+1 : TPTP v8.1.0. Released v3.2.0.
% 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 : n008.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 18:26:38 EDT 2022
% Result : Theorem 1.61s 0.57s
% Output : Refutation 1.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 5
% Syntax : Number of formulae : 34 ( 13 unt; 0 def)
% Number of atoms : 100 ( 4 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 100 ( 34 ~; 19 |; 39 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-4 aty)
% Number of variables : 69 ( 53 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f433,plain,
$false,
inference(subsumption_resolution,[],[f432,f275]) ).
fof(f275,plain,
finite(sK10),
inference(cnf_transformation,[],[f173]) ).
fof(f173,plain,
( ~ finite(cartesian_product4(sK10,sK12,sK11,sK13))
& finite(sK10)
& finite(sK11)
& finite(sK13)
& finite(sK12) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13])],[f171,f172]) ).
fof(f172,plain,
( ? [X0,X1,X2,X3] :
( ~ finite(cartesian_product4(X0,X2,X1,X3))
& finite(X0)
& finite(X1)
& finite(X3)
& finite(X2) )
=> ( ~ finite(cartesian_product4(sK10,sK12,sK11,sK13))
& finite(sK10)
& finite(sK11)
& finite(sK13)
& finite(sK12) ) ),
introduced(choice_axiom,[]) ).
fof(f171,plain,
? [X0,X1,X2,X3] :
( ~ finite(cartesian_product4(X0,X2,X1,X3))
& finite(X0)
& finite(X1)
& finite(X3)
& finite(X2) ),
inference(rectify,[],[f123]) ).
fof(f123,plain,
? [X0,X3,X2,X1] :
( ~ finite(cartesian_product4(X0,X2,X3,X1))
& finite(X0)
& finite(X3)
& finite(X1)
& finite(X2) ),
inference(flattening,[],[f122]) ).
fof(f122,plain,
? [X3,X0,X2,X1] :
( ~ finite(cartesian_product4(X0,X2,X3,X1))
& finite(X2)
& finite(X0)
& finite(X1)
& finite(X3) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,plain,
~ ! [X3,X0,X2,X1] :
( ( finite(X2)
& finite(X0)
& finite(X1)
& finite(X3) )
=> finite(cartesian_product4(X0,X2,X3,X1)) ),
inference(rectify,[],[f57]) ).
fof(f57,negated_conjecture,
~ ! [X0,X3,X1,X2] :
( ( finite(X0)
& finite(X2)
& finite(X1)
& finite(X3) )
=> finite(cartesian_product4(X0,X1,X2,X3)) ),
inference(negated_conjecture,[],[f56]) ).
fof(f56,conjecture,
! [X0,X3,X1,X2] :
( ( finite(X0)
& finite(X2)
& finite(X1)
& finite(X3) )
=> finite(cartesian_product4(X0,X1,X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_finset_1) ).
fof(f432,plain,
~ finite(sK10),
inference(subsumption_resolution,[],[f431,f274]) ).
fof(f274,plain,
finite(sK11),
inference(cnf_transformation,[],[f173]) ).
fof(f431,plain,
( ~ finite(sK11)
| ~ finite(sK10) ),
inference(subsumption_resolution,[],[f428,f272]) ).
fof(f272,plain,
finite(sK12),
inference(cnf_transformation,[],[f173]) ).
fof(f428,plain,
( ~ finite(sK12)
| ~ finite(sK11)
| ~ finite(sK10) ),
inference(resolution,[],[f415,f254]) ).
fof(f254,plain,
! [X2,X0,X1] :
( ~ finite(X2)
| ~ finite(X1)
| ~ finite(X0)
| finite(cartesian_product3(X2,X0,X1)) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1,X2] :
( ~ finite(X0)
| ~ finite(X2)
| ~ finite(X1)
| finite(cartesian_product3(X2,X0,X1)) ),
inference(flattening,[],[f115]) ).
fof(f115,plain,
! [X0,X2,X1] :
( finite(cartesian_product3(X2,X0,X1))
| ~ finite(X0)
| ~ finite(X1)
| ~ finite(X2) ),
inference(ennf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X2,X1] :
( ( finite(X0)
& finite(X1)
& finite(X2) )
=> finite(cartesian_product3(X2,X0,X1)) ),
inference(rectify,[],[f55]) ).
fof(f55,axiom,
! [X1,X2,X0] :
( ( finite(X0)
& finite(X2)
& finite(X1) )
=> finite(cartesian_product3(X0,X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_finset_1) ).
fof(f415,plain,
~ finite(cartesian_product3(sK10,sK12,sK11)),
inference(subsumption_resolution,[],[f412,f273]) ).
fof(f273,plain,
finite(sK13),
inference(cnf_transformation,[],[f173]) ).
fof(f412,plain,
( ~ finite(cartesian_product3(sK10,sK12,sK11))
| ~ finite(sK13) ),
inference(resolution,[],[f345,f253]) ).
fof(f253,plain,
! [X0,X1] :
( finite(cartesian_product2(X1,X0))
| ~ finite(X0)
| ~ finite(X1) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( finite(cartesian_product2(X1,X0))
| ~ finite(X1)
| ~ finite(X0) ),
inference(flattening,[],[f104]) ).
fof(f104,plain,
! [X1,X0] :
( finite(cartesian_product2(X1,X0))
| ~ finite(X1)
| ~ finite(X0) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,plain,
! [X1,X0] :
( ( finite(X1)
& finite(X0) )
=> finite(cartesian_product2(X1,X0)) ),
inference(rectify,[],[f53]) ).
fof(f53,axiom,
! [X1,X0] :
( ( finite(X0)
& finite(X1) )
=> finite(cartesian_product2(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_finset_1) ).
fof(f345,plain,
~ finite(cartesian_product2(cartesian_product3(sK10,sK12,sK11),sK13)),
inference(definition_unfolding,[],[f276,f305]) ).
fof(f305,plain,
! [X2,X3,X0,X1] : cartesian_product2(cartesian_product3(X0,X2,X1),X3) = cartesian_product4(X0,X2,X1,X3),
inference(cnf_transformation,[],[f190]) ).
fof(f190,plain,
! [X0,X1,X2,X3] : cartesian_product2(cartesian_product3(X0,X2,X1),X3) = cartesian_product4(X0,X2,X1,X3),
inference(rectify,[],[f71]) ).
fof(f71,plain,
! [X2,X0,X3,X1] : cartesian_product4(X2,X3,X0,X1) = cartesian_product2(cartesian_product3(X2,X3,X0),X1),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X2,X3,X0,X1] : cartesian_product4(X0,X1,X2,X3) = cartesian_product2(cartesian_product3(X0,X1,X2),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_zfmisc_1) ).
fof(f276,plain,
~ finite(cartesian_product4(sK10,sK12,sK11,sK13)),
inference(cnf_transformation,[],[f173]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU090+1 : TPTP v8.1.0. Released v3.2.0.
% 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
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 14:40:40 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.32/0.54 % (9483)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)
% 1.32/0.55 % (9483)Instruction limit reached!
% 1.32/0.55 % (9483)------------------------------
% 1.32/0.55 % (9483)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.55 % (9483)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.55 % (9483)Termination reason: Unknown
% 1.32/0.55 % (9483)Termination phase: Property scanning
% 1.32/0.55
% 1.32/0.55 % (9483)Memory used [KB]: 1535
% 1.32/0.55 % (9483)Time elapsed: 0.005 s
% 1.32/0.55 % (9483)Instructions burned: 4 (million)
% 1.32/0.55 % (9483)------------------------------
% 1.32/0.55 % (9483)------------------------------
% 1.32/0.55 % (9484)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.32/0.56 % (9491)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.32/0.56 % (9507)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.61/0.57 % (9491)First to succeed.
% 1.61/0.57 % (9507)Also succeeded, but the first one will report.
% 1.61/0.57 % (9491)Refutation found. Thanks to Tanya!
% 1.61/0.57 % SZS status Theorem for theBenchmark
% 1.61/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.61/0.57 % (9491)------------------------------
% 1.61/0.57 % (9491)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.57 % (9491)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.57 % (9491)Termination reason: Refutation
% 1.61/0.57
% 1.61/0.57 % (9491)Memory used [KB]: 6140
% 1.61/0.57 % (9491)Time elapsed: 0.148 s
% 1.61/0.57 % (9491)Instructions burned: 6 (million)
% 1.61/0.57 % (9491)------------------------------
% 1.61/0.57 % (9491)------------------------------
% 1.61/0.57 % (9480)Success in time 0.22 s
%------------------------------------------------------------------------------